## Begin on: Mon Oct 21 01:51:46 CEST 2019

ENUMERATION
No. of records: 1557

FAMILY (oriented family) : isomorphism classes
1     [ E1b] : 30 (26 non-degenerate)
2     [ E3b] : 140 (110 non-degenerate)
2*    [E3*b] : 140 (110 non-degenerate)
2ex   [E3*c] : 6 (6 non-degenerate)
2*ex  [ E3c] : 6 (6 non-degenerate)
2P    [  E2] : 28 (24 non-degenerate)
2Pex  [ E1a] : 1 (1 non-degenerate)
3     [ E5a] : 967 (653 non-degenerate)
4     [  E4] : 84 (50 non-degenerate)
4*    [ E4*] : 84 (50 non-degenerate)
4P    [  E6] : 39 (17 non-degenerate)
5     [ E3a] : 16 (15 non-degenerate)
5*    [E3*a] : 16 (15 non-degenerate)
5P    [ E5b] : 0

E26.1 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {26, 26})
Quotient :: toric
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|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, S^2, S^-1 * A * S * B, S^-1 * B * S * A, S^-1 * Z * S * Z, Z^26, (Z^-1 * A * B^-1 * A^-1 * B)^26 ]
Map::
	R = (1, 28, 54, 80, 2, 32, 58, 84, 6, 40, 66, 92, 14, 45, 71, 97, 19, 50, 76, 102, 24, 39, 65, 91, 13, 44, 70, 96, 18, 47, 73, 99, 21, 36, 62, 88, 10, 29, 55, 81, 3, 33, 59, 85, 7, 41, 67, 93, 15, 52, 78, 104, 26, 49, 75, 101, 23, 38, 64, 90, 12, 31, 57, 83, 5, 34, 60, 86, 8, 42, 68, 94, 16, 46, 72, 98, 20, 35, 61, 87, 9, 43, 69, 95, 17, 51, 77, 103, 25, 48, 74, 100, 22, 37, 63, 89, 11, 30, 56, 82, 4, 27, 53, 79)
	L = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 104^104 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 52 f = 1
	degree seq :: [ 104 ]

E26.2 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {26, 26})
Quotient :: toric
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ A^2, S^2, B^-1 * A, (S * Z)^2, Z^-1 * A * Z * B^-1, Z^-1 * B * Z * A, S * B * S * A, Z^-1 * B^-1 * Z^-12 ]
Map::
	R = (1, 28, 54, 80, 2, 31, 57, 83, 5, 35, 61, 87, 9, 39, 65, 91, 13, 43, 69, 95, 17, 47, 73, 99, 21, 51, 77, 103, 25, 49, 75, 101, 23, 45, 71, 97, 19, 41, 67, 93, 15, 37, 63, 89, 11, 33, 59, 85, 7, 29, 55, 81, 3, 32, 58, 84, 6, 36, 62, 88, 10, 40, 66, 92, 14, 44, 70, 96, 18, 48, 74, 100, 22, 52, 78, 104, 26, 50, 76, 102, 24, 46, 72, 98, 20, 42, 68, 94, 16, 38, 64, 90, 12, 34, 60, 86, 8, 30, 56, 82, 4, 27, 53, 79)
	L = (1, 55)(2, 58)(3, 53)(4, 59)(5, 62)(6, 54)(7, 56)(8, 63)(9, 66)(10, 57)(11, 60)(12, 67)(13, 70)(14, 61)(15, 64)(16, 71)(17, 74)(18, 65)(19, 68)(20, 75)(21, 78)(22, 69)(23, 72)(24, 77)(25, 76)(26, 73)(27, 81)(28, 84)(29, 79)(30, 85)(31, 88)(32, 80)(33, 82)(34, 89)(35, 92)(36, 83)(37, 86)(38, 93)(39, 96)(40, 87)(41, 90)(42, 97)(43, 100)(44, 91)(45, 94)(46, 101)(47, 104)(48, 95)(49, 98)(50, 103)(51, 102)(52, 99)
	local type(s) :: { ( 104^104 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 52 f = 1
	degree seq :: [ 104 ]

E26.3 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {26, 26})
Quotient :: toric
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B, Z * B^-1 * Z^-1 * A, B^-1 * Z * A * Z^-1, (A^-1 * Z^-1)^2, (S * Z)^2, S * B * S * A, Z * A^-2 * Z^-1 * A^2, A^-1 * Z * A^-10 * Z, A^13, Z^7 * A^-3 * Z * A^-2 ]
Map::
	R = (1, 28, 54, 80, 2, 32, 58, 84, 6, 37, 63, 89, 11, 41, 67, 93, 15, 45, 71, 97, 19, 49, 75, 101, 23, 52, 78, 104, 26, 47, 73, 99, 21, 44, 70, 96, 18, 39, 65, 91, 13, 36, 62, 88, 10, 29, 55, 81, 3, 33, 59, 85, 7, 31, 57, 83, 5, 34, 60, 86, 8, 38, 64, 90, 12, 42, 68, 94, 16, 46, 72, 98, 20, 50, 76, 102, 24, 51, 77, 103, 25, 48, 74, 100, 22, 43, 69, 95, 17, 40, 66, 92, 14, 35, 61, 87, 9, 30, 56, 82, 4, 27, 53, 79)
	L = (1, 55)(2, 59)(3, 61)(4, 62)(5, 53)(6, 57)(7, 56)(8, 54)(9, 65)(10, 66)(11, 60)(12, 58)(13, 69)(14, 70)(15, 64)(16, 63)(17, 73)(18, 74)(19, 68)(20, 67)(21, 77)(22, 78)(23, 72)(24, 71)(25, 75)(26, 76)(27, 83)(28, 86)(29, 79)(30, 85)(31, 84)(32, 90)(33, 80)(34, 89)(35, 81)(36, 82)(37, 94)(38, 93)(39, 87)(40, 88)(41, 98)(42, 97)(43, 91)(44, 92)(45, 102)(46, 101)(47, 95)(48, 96)(49, 103)(50, 104)(51, 99)(52, 100)
	local type(s) :: { ( 104^104 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 52 f = 1
	degree seq :: [ 104 ]

E26.4 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {26, 26})
Quotient :: toric
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, Z^-2 * A, S * A * S * B, (S * Z)^2, A^13 ]
Map::
	R = (1, 28, 54, 80, 2, 29, 55, 81, 3, 32, 58, 84, 6, 33, 59, 85, 7, 36, 62, 88, 10, 37, 63, 89, 11, 40, 66, 92, 14, 41, 67, 93, 15, 44, 70, 96, 18, 45, 71, 97, 19, 48, 74, 100, 22, 49, 75, 101, 23, 52, 78, 104, 26, 51, 77, 103, 25, 50, 76, 102, 24, 47, 73, 99, 21, 46, 72, 98, 20, 43, 69, 95, 17, 42, 68, 94, 16, 39, 65, 91, 13, 38, 64, 90, 12, 35, 61, 87, 9, 34, 60, 86, 8, 31, 57, 83, 5, 30, 56, 82, 4, 27, 53, 79)
	L = (1, 55)(2, 58)(3, 59)(4, 54)(5, 53)(6, 62)(7, 63)(8, 56)(9, 57)(10, 66)(11, 67)(12, 60)(13, 61)(14, 70)(15, 71)(16, 64)(17, 65)(18, 74)(19, 75)(20, 68)(21, 69)(22, 78)(23, 77)(24, 72)(25, 73)(26, 76)(27, 83)(28, 82)(29, 79)(30, 86)(31, 87)(32, 80)(33, 81)(34, 90)(35, 91)(36, 84)(37, 85)(38, 94)(39, 95)(40, 88)(41, 89)(42, 98)(43, 99)(44, 92)(45, 93)(46, 102)(47, 103)(48, 96)(49, 97)(50, 104)(51, 101)(52, 100)
	local type(s) :: { ( 104^104 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 52 f = 1
	degree seq :: [ 104 ]

E26.5 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {26, 26})
Quotient :: toric
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, Z * A * Z, S * B * S * A, (S * Z)^2, A^13, A^5 * Z^-1 * B * A^6 * Z^-1, (B * Z)^26 ]
Map::
	R = (1, 28, 54, 80, 2, 31, 57, 83, 5, 32, 58, 84, 6, 35, 61, 87, 9, 36, 62, 88, 10, 39, 65, 91, 13, 40, 66, 92, 14, 43, 69, 95, 17, 44, 70, 96, 18, 47, 73, 99, 21, 48, 74, 100, 22, 51, 77, 103, 25, 52, 78, 104, 26, 49, 75, 101, 23, 50, 76, 102, 24, 45, 71, 97, 19, 46, 72, 98, 20, 41, 67, 93, 15, 42, 68, 94, 16, 37, 63, 89, 11, 38, 64, 90, 12, 33, 59, 85, 7, 34, 60, 86, 8, 29, 55, 81, 3, 30, 56, 82, 4, 27, 53, 79)
	L = (1, 55)(2, 56)(3, 59)(4, 60)(5, 53)(6, 54)(7, 63)(8, 64)(9, 57)(10, 58)(11, 67)(12, 68)(13, 61)(14, 62)(15, 71)(16, 72)(17, 65)(18, 66)(19, 75)(20, 76)(21, 69)(22, 70)(23, 77)(24, 78)(25, 73)(26, 74)(27, 83)(28, 84)(29, 79)(30, 80)(31, 87)(32, 88)(33, 81)(34, 82)(35, 91)(36, 92)(37, 85)(38, 86)(39, 95)(40, 96)(41, 89)(42, 90)(43, 99)(44, 100)(45, 93)(46, 94)(47, 103)(48, 104)(49, 97)(50, 98)(51, 101)(52, 102)
	local type(s) :: { ( 104^104 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 52 f = 1
	degree seq :: [ 104 ]

E26.6 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {26, 26})
Quotient :: toric
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, (A^-1, Z^-1), S * B * S * A, (S * Z)^2, A^-1 * Z * B^-1 * A^2 * Z^-1, Z^3 * A * Z * A^2, A * Z^-1 * A * Z^-1 * A^3 ]
Map::
	R = (1, 28, 54, 80, 2, 32, 58, 84, 6, 40, 66, 92, 14, 51, 77, 103, 25, 46, 72, 98, 20, 35, 61, 87, 9, 43, 69, 95, 17, 49, 75, 101, 23, 38, 64, 90, 12, 31, 57, 83, 5, 34, 60, 86, 8, 42, 68, 94, 16, 52, 78, 104, 26, 47, 73, 99, 21, 36, 62, 88, 10, 29, 55, 81, 3, 33, 59, 85, 7, 41, 67, 93, 15, 50, 76, 102, 24, 39, 65, 91, 13, 44, 70, 96, 18, 45, 71, 97, 19, 48, 74, 100, 22, 37, 63, 89, 11, 30, 56, 82, 4, 27, 53, 79)
	L = (1, 55)(2, 59)(3, 61)(4, 62)(5, 53)(6, 67)(7, 69)(8, 54)(9, 71)(10, 72)(11, 73)(12, 56)(13, 57)(14, 76)(15, 75)(16, 58)(17, 74)(18, 60)(19, 68)(20, 70)(21, 77)(22, 78)(23, 63)(24, 64)(25, 65)(26, 66)(27, 83)(28, 86)(29, 79)(30, 90)(31, 91)(32, 94)(33, 80)(34, 96)(35, 81)(36, 82)(37, 101)(38, 102)(39, 103)(40, 104)(41, 84)(42, 97)(43, 85)(44, 98)(45, 87)(46, 88)(47, 89)(48, 95)(49, 93)(50, 92)(51, 99)(52, 100)
	local type(s) :: { ( 104^104 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 52 f = 1
	degree seq :: [ 104 ]

E26.7 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {26, 26})
Quotient :: toric
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B, (A, Z), B * Z * A^-1 * Z^-1, Z * B * Z^-1 * A^-1, S * B * S * A, Z^-1 * B^-1 * Z * A, (S * Z)^2, Z * A^-2 * B * Z^-1 * B, B * Z * A * B^2 * Z * A, Z * B^-1 * Z * B^-1 * Z^2 * A^-1, Z^-2 * A^-1 * Z^-1 * A^-1 * Z^-3, A * B * A * B * A * B * Z * A^-1 * Z ]
Map::
	R = (1, 28, 54, 80, 2, 32, 58, 84, 6, 40, 66, 92, 14, 45, 71, 97, 19, 50, 76, 102, 24, 39, 65, 91, 13, 44, 70, 96, 18, 47, 73, 99, 21, 36, 62, 88, 10, 29, 55, 81, 3, 33, 59, 85, 7, 41, 67, 93, 15, 52, 78, 104, 26, 49, 75, 101, 23, 38, 64, 90, 12, 31, 57, 83, 5, 34, 60, 86, 8, 42, 68, 94, 16, 46, 72, 98, 20, 35, 61, 87, 9, 43, 69, 95, 17, 51, 77, 103, 25, 48, 74, 100, 22, 37, 63, 89, 11, 30, 56, 82, 4, 27, 53, 79)
	L = (1, 55)(2, 59)(3, 61)(4, 62)(5, 53)(6, 67)(7, 69)(8, 54)(9, 71)(10, 72)(11, 73)(12, 56)(13, 57)(14, 78)(15, 77)(16, 58)(17, 76)(18, 60)(19, 75)(20, 66)(21, 68)(22, 70)(23, 63)(24, 64)(25, 65)(26, 74)(27, 83)(28, 86)(29, 79)(30, 90)(31, 91)(32, 94)(33, 80)(34, 96)(35, 81)(36, 82)(37, 101)(38, 102)(39, 103)(40, 98)(41, 84)(42, 99)(43, 85)(44, 100)(45, 87)(46, 88)(47, 89)(48, 104)(49, 97)(50, 95)(51, 93)(52, 92)
	local type(s) :: { ( 104^104 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 52 f = 1
	degree seq :: [ 104 ]

E26.8 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {26, 26})
Quotient :: toric
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, (Z, A), S * A * S * B, (S * Z)^2, A^-1 * Z^4, Z^-1 * A^-1 * Z^-1 * A^-5 ]
Map::
	R = (1, 28, 54, 80, 2, 32, 58, 84, 6, 36, 62, 88, 10, 29, 55, 81, 3, 33, 59, 85, 7, 40, 66, 92, 14, 44, 70, 96, 18, 35, 61, 87, 9, 41, 67, 93, 15, 48, 74, 100, 22, 52, 78, 104, 26, 43, 69, 95, 17, 49, 75, 101, 23, 47, 73, 99, 21, 50, 76, 102, 24, 51, 77, 103, 25, 46, 72, 98, 20, 39, 65, 91, 13, 42, 68, 94, 16, 45, 71, 97, 19, 38, 64, 90, 12, 31, 57, 83, 5, 34, 60, 86, 8, 37, 63, 89, 11, 30, 56, 82, 4, 27, 53, 79)
	L = (1, 55)(2, 59)(3, 61)(4, 62)(5, 53)(6, 66)(7, 67)(8, 54)(9, 69)(10, 70)(11, 58)(12, 56)(13, 57)(14, 74)(15, 75)(16, 60)(17, 77)(18, 78)(19, 63)(20, 64)(21, 65)(22, 73)(23, 72)(24, 68)(25, 71)(26, 76)(27, 83)(28, 86)(29, 79)(30, 90)(31, 91)(32, 89)(33, 80)(34, 94)(35, 81)(36, 82)(37, 97)(38, 98)(39, 99)(40, 84)(41, 85)(42, 102)(43, 87)(44, 88)(45, 103)(46, 101)(47, 100)(48, 92)(49, 93)(50, 104)(51, 95)(52, 96)
	local type(s) :: { ( 104^104 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 52 f = 1
	degree seq :: [ 104 ]

E26.9 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {26, 26})
Quotient :: toric
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, (Z^-1, A), (S * Z)^2, A * Z^-1 * B^-1 * Z, S * A * S * B, Z^2 * B * Z^2, B * A * Z^-1 * B * A^2 * Z^-1 * B ]
Map::
	R = (1, 28, 54, 80, 2, 32, 58, 84, 6, 38, 64, 90, 12, 31, 57, 83, 5, 34, 60, 86, 8, 40, 66, 92, 14, 46, 72, 98, 20, 39, 65, 91, 13, 42, 68, 94, 16, 48, 74, 100, 22, 52, 78, 104, 26, 47, 73, 99, 21, 50, 76, 102, 24, 43, 69, 95, 17, 49, 75, 101, 23, 51, 77, 103, 25, 44, 70, 96, 18, 35, 61, 87, 9, 41, 67, 93, 15, 45, 71, 97, 19, 36, 62, 88, 10, 29, 55, 81, 3, 33, 59, 85, 7, 37, 63, 89, 11, 30, 56, 82, 4, 27, 53, 79)
	L = (1, 55)(2, 59)(3, 61)(4, 62)(5, 53)(6, 63)(7, 67)(8, 54)(9, 69)(10, 70)(11, 71)(12, 56)(13, 57)(14, 58)(15, 75)(16, 60)(17, 74)(18, 76)(19, 77)(20, 64)(21, 65)(22, 66)(23, 78)(24, 68)(25, 73)(26, 72)(27, 83)(28, 86)(29, 79)(30, 90)(31, 91)(32, 92)(33, 80)(34, 94)(35, 81)(36, 82)(37, 84)(38, 98)(39, 99)(40, 100)(41, 85)(42, 102)(43, 87)(44, 88)(45, 89)(46, 104)(47, 103)(48, 95)(49, 93)(50, 96)(51, 97)(52, 101)
	local type(s) :: { ( 104^104 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 52 f = 1
	degree seq :: [ 104 ]

E26.10 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {26, 26})
Quotient :: toric
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, B * A^-1, (A^-1, Z^-1), S * B * S * A, (S * Z)^2, A^-2 * Z * A^-1 * Z, Z^2 * B^-3, Z^-2 * A^-1 * Z^-6 ]
Map::
	R = (1, 28, 54, 80, 2, 32, 58, 84, 6, 40, 66, 92, 14, 46, 72, 98, 20, 50, 76, 102, 24, 44, 70, 96, 18, 38, 64, 90, 12, 31, 57, 83, 5, 34, 60, 86, 8, 35, 61, 87, 9, 42, 68, 94, 16, 48, 74, 100, 22, 52, 78, 104, 26, 51, 77, 103, 25, 45, 71, 97, 19, 39, 65, 91, 13, 36, 62, 88, 10, 29, 55, 81, 3, 33, 59, 85, 7, 41, 67, 93, 15, 47, 73, 99, 21, 49, 75, 101, 23, 43, 69, 95, 17, 37, 63, 89, 11, 30, 56, 82, 4, 27, 53, 79)
	L = (1, 55)(2, 59)(3, 61)(4, 62)(5, 53)(6, 67)(7, 68)(8, 54)(9, 58)(10, 60)(11, 65)(12, 56)(13, 57)(14, 73)(15, 74)(16, 66)(17, 71)(18, 63)(19, 64)(20, 75)(21, 78)(22, 72)(23, 77)(24, 69)(25, 70)(26, 76)(27, 83)(28, 86)(29, 79)(30, 90)(31, 91)(32, 87)(33, 80)(34, 88)(35, 81)(36, 82)(37, 96)(38, 97)(39, 89)(40, 94)(41, 84)(42, 85)(43, 102)(44, 103)(45, 95)(46, 100)(47, 92)(48, 93)(49, 98)(50, 104)(51, 101)(52, 99)
	local type(s) :: { ( 104^104 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 52 f = 1
	degree seq :: [ 104 ]

E26.11 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {26, 26})
Quotient :: toric
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, Z^-1 * B * Z * A^-1, (S * Z)^2, S * B * S * A, B^-1 * Z^-1 * A^-1 * Z^-1 * B^-1, Z^-1 * B * Z^-7 ]
Map::
	R = (1, 28, 54, 80, 2, 32, 58, 84, 6, 40, 66, 92, 14, 46, 72, 98, 20, 50, 76, 102, 24, 44, 70, 96, 18, 36, 62, 88, 10, 29, 55, 81, 3, 33, 59, 85, 7, 39, 65, 91, 13, 42, 68, 94, 16, 48, 74, 100, 22, 52, 78, 104, 26, 49, 75, 101, 23, 43, 69, 95, 17, 35, 61, 87, 9, 38, 64, 90, 12, 31, 57, 83, 5, 34, 60, 86, 8, 41, 67, 93, 15, 47, 73, 99, 21, 51, 77, 103, 25, 45, 71, 97, 19, 37, 63, 89, 11, 30, 56, 82, 4, 27, 53, 79)
	L = (1, 55)(2, 59)(3, 61)(4, 62)(5, 53)(6, 65)(7, 64)(8, 54)(9, 63)(10, 69)(11, 70)(12, 56)(13, 57)(14, 68)(15, 58)(16, 60)(17, 71)(18, 75)(19, 76)(20, 74)(21, 66)(22, 67)(23, 77)(24, 78)(25, 72)(26, 73)(27, 83)(28, 86)(29, 79)(30, 90)(31, 91)(32, 93)(33, 80)(34, 94)(35, 81)(36, 82)(37, 87)(38, 85)(39, 84)(40, 99)(41, 100)(42, 92)(43, 88)(44, 89)(45, 95)(46, 103)(47, 104)(48, 98)(49, 96)(50, 97)(51, 101)(52, 102)
	local type(s) :: { ( 104^104 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 52 f = 1
	degree seq :: [ 104 ]

E26.12 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {26, 26})
Quotient :: toric
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, (A, Z^-1), (B^-1, Z^-1), S * A * S * B, A^-1 * Z^-1 * B * Z, (S * Z)^2, Z^-1 * A^-1 * Z * B, Z^-1 * B^-2 * A^-1 * Z^-1 * B^-1, Z * B^-1 * Z^5, Z * B^-3 * Z^2 * B^-2 * Z ]
Map::
	R = (1, 28, 54, 80, 2, 32, 58, 84, 6, 40, 66, 92, 14, 47, 73, 99, 21, 36, 62, 88, 10, 29, 55, 81, 3, 33, 59, 85, 7, 41, 67, 93, 15, 49, 75, 101, 23, 52, 78, 104, 26, 46, 72, 98, 20, 35, 61, 87, 9, 43, 69, 95, 17, 39, 65, 91, 13, 44, 70, 96, 18, 50, 76, 102, 24, 51, 77, 103, 25, 45, 71, 97, 19, 38, 64, 90, 12, 31, 57, 83, 5, 34, 60, 86, 8, 42, 68, 94, 16, 48, 74, 100, 22, 37, 63, 89, 11, 30, 56, 82, 4, 27, 53, 79)
	L = (1, 55)(2, 59)(3, 61)(4, 62)(5, 53)(6, 67)(7, 69)(8, 54)(9, 71)(10, 72)(11, 73)(12, 56)(13, 57)(14, 75)(15, 65)(16, 58)(17, 64)(18, 60)(19, 63)(20, 77)(21, 78)(22, 66)(23, 70)(24, 68)(25, 74)(26, 76)(27, 83)(28, 86)(29, 79)(30, 90)(31, 91)(32, 94)(33, 80)(34, 96)(35, 81)(36, 82)(37, 97)(38, 95)(39, 93)(40, 100)(41, 84)(42, 102)(43, 85)(44, 101)(45, 87)(46, 88)(47, 89)(48, 103)(49, 92)(50, 104)(51, 98)(52, 99)
	local type(s) :: { ( 104^104 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 52 f = 1
	degree seq :: [ 104 ]

E26.13 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {26, 26})
Quotient :: toric
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ S^2, A * B^-1, (A^-1, Z^-1), (S * Z)^2, Z^-1 * A * Z * B^-1, S * A * S * B, Z^-1 * B * Z * A^-1, A * Z^-1 * B * A^2 * Z^-1, A^-2 * Z * B^-1 * Z * B^-1, Z^2 * B * Z^4 ]
Map::
	R = (1, 28, 54, 80, 2, 32, 58, 84, 6, 40, 66, 92, 14, 47, 73, 99, 21, 38, 64, 90, 12, 31, 57, 83, 5, 34, 60, 86, 8, 42, 68, 94, 16, 49, 75, 101, 23, 52, 78, 104, 26, 48, 74, 100, 22, 39, 65, 91, 13, 44, 70, 96, 18, 35, 61, 87, 9, 43, 69, 95, 17, 50, 76, 102, 24, 51, 77, 103, 25, 45, 71, 97, 19, 36, 62, 88, 10, 29, 55, 81, 3, 33, 59, 85, 7, 41, 67, 93, 15, 46, 72, 98, 20, 37, 63, 89, 11, 30, 56, 82, 4, 27, 53, 79)
	L = (1, 55)(2, 59)(3, 61)(4, 62)(5, 53)(6, 67)(7, 69)(8, 54)(9, 68)(10, 70)(11, 71)(12, 56)(13, 57)(14, 72)(15, 76)(16, 58)(17, 75)(18, 60)(19, 65)(20, 77)(21, 63)(22, 64)(23, 66)(24, 78)(25, 74)(26, 73)(27, 83)(28, 86)(29, 79)(30, 90)(31, 91)(32, 94)(33, 80)(34, 96)(35, 81)(36, 82)(37, 99)(38, 100)(39, 97)(40, 101)(41, 84)(42, 87)(43, 85)(44, 88)(45, 89)(46, 92)(47, 104)(48, 103)(49, 95)(50, 93)(51, 98)(52, 102)
	local type(s) :: { ( 104^104 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 52 f = 1
	degree seq :: [ 104 ]

E26.14 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ A^2, S^2, B^2, B * A, (S * Z)^2, S * B * S * A, Z * A * Z^-2 * A * Z, Z^6, A * Z * A * Z * A * Z^-1 * A * Z * A * Z ]
Map::
	R = (1, 32, 62, 92, 2, 35, 65, 95, 5, 41, 71, 101, 11, 40, 70, 100, 10, 34, 64, 94, 4, 31, 61, 91)(3, 37, 67, 97, 7, 42, 72, 102, 12, 50, 80, 110, 20, 47, 77, 107, 17, 38, 68, 98, 8, 33, 63, 93)(6, 43, 73, 103, 13, 49, 79, 109, 19, 48, 78, 108, 18, 39, 69, 99, 9, 44, 74, 104, 14, 36, 66, 96)(15, 53, 83, 113, 23, 57, 87, 117, 27, 55, 85, 115, 25, 46, 76, 106, 16, 54, 84, 114, 24, 45, 75, 105)(21, 58, 88, 118, 28, 56, 86, 116, 26, 60, 90, 120, 30, 52, 82, 112, 22, 59, 89, 119, 29, 51, 81, 111)
	L = (1, 63)(2, 66)(3, 61)(4, 69)(5, 72)(6, 62)(7, 75)(8, 76)(9, 64)(10, 77)(11, 79)(12, 65)(13, 81)(14, 82)(15, 67)(16, 68)(17, 70)(18, 86)(19, 71)(20, 87)(21, 73)(22, 74)(23, 90)(24, 88)(25, 89)(26, 78)(27, 80)(28, 84)(29, 85)(30, 83)(31, 93)(32, 96)(33, 91)(34, 99)(35, 102)(36, 92)(37, 105)(38, 106)(39, 94)(40, 107)(41, 109)(42, 95)(43, 111)(44, 112)(45, 97)(46, 98)(47, 100)(48, 116)(49, 101)(50, 117)(51, 103)(52, 104)(53, 120)(54, 118)(55, 119)(56, 108)(57, 110)(58, 114)(59, 115)(60, 113)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 5 e = 60 f = 5
	degree seq :: [ 24^5 ]

E26.15 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B^-1, (S * Z)^2, B * Z * A^-1 * Z^-1, S * B * S * A, Z^-1 * A * Z * B^-1, A^2 * B^-3, Z^6 ]
Map:: non-degenerate
	R = (1, 32, 62, 92, 2, 36, 66, 96, 6, 44, 74, 104, 14, 43, 73, 103, 13, 35, 65, 95, 5, 31, 61, 91)(3, 38, 68, 98, 8, 45, 75, 105, 15, 54, 84, 114, 24, 50, 80, 110, 20, 40, 70, 100, 10, 33, 63, 93)(4, 37, 67, 97, 7, 46, 76, 106, 16, 53, 83, 113, 23, 52, 82, 112, 22, 42, 72, 102, 12, 34, 64, 94)(9, 48, 78, 108, 18, 55, 85, 115, 25, 60, 90, 120, 30, 57, 87, 117, 27, 49, 79, 109, 19, 39, 69, 99)(11, 47, 77, 107, 17, 56, 86, 116, 26, 59, 89, 119, 29, 58, 88, 118, 28, 51, 81, 111, 21, 41, 71, 101)
	L = (1, 63)(2, 67)(3, 69)(4, 61)(5, 72)(6, 75)(7, 77)(8, 62)(9, 71)(10, 65)(11, 64)(12, 81)(13, 80)(14, 83)(15, 85)(16, 66)(17, 78)(18, 68)(19, 70)(20, 87)(21, 79)(22, 73)(23, 89)(24, 74)(25, 86)(26, 76)(27, 88)(28, 82)(29, 90)(30, 84)(31, 93)(32, 97)(33, 99)(34, 91)(35, 102)(36, 105)(37, 107)(38, 92)(39, 101)(40, 95)(41, 94)(42, 111)(43, 110)(44, 113)(45, 115)(46, 96)(47, 108)(48, 98)(49, 100)(50, 117)(51, 109)(52, 103)(53, 119)(54, 104)(55, 116)(56, 106)(57, 118)(58, 112)(59, 120)(60, 114)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 5 e = 60 f = 5
	degree seq :: [ 24^5 ]

E26.16 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, B * A^-1, A^-2 * Z^2, S * A * S * B, (S * Z)^2, A^-2 * Z^-4, A * Z^-1 * B * Z * A^-1 * Z * A * Z^-1 * A^-1 * Z^-1 ]
Map::
	R = (1, 32, 62, 92, 2, 36, 66, 96, 6, 44, 74, 104, 14, 41, 71, 101, 11, 34, 64, 94, 4, 31, 61, 91)(3, 39, 69, 99, 9, 45, 75, 105, 15, 43, 73, 103, 13, 35, 65, 95, 5, 40, 70, 100, 10, 33, 63, 93)(7, 46, 76, 106, 16, 42, 72, 102, 12, 48, 78, 108, 18, 38, 68, 98, 8, 47, 77, 107, 17, 37, 67, 97)(19, 55, 85, 115, 25, 51, 81, 111, 21, 57, 87, 117, 27, 50, 80, 110, 20, 56, 86, 116, 26, 49, 79, 109)(22, 58, 88, 118, 28, 54, 84, 114, 24, 60, 90, 120, 30, 53, 83, 113, 23, 59, 89, 119, 29, 52, 82, 112)
	L = (1, 63)(2, 67)(3, 66)(4, 68)(5, 61)(6, 75)(7, 74)(8, 62)(9, 79)(10, 80)(11, 65)(12, 64)(13, 81)(14, 72)(15, 71)(16, 82)(17, 83)(18, 84)(19, 73)(20, 69)(21, 70)(22, 78)(23, 76)(24, 77)(25, 88)(26, 89)(27, 90)(28, 87)(29, 85)(30, 86)(31, 95)(32, 98)(33, 91)(34, 102)(35, 101)(36, 93)(37, 92)(38, 94)(39, 110)(40, 111)(41, 105)(42, 104)(43, 109)(44, 97)(45, 96)(46, 113)(47, 114)(48, 112)(49, 99)(50, 100)(51, 103)(52, 106)(53, 107)(54, 108)(55, 119)(56, 120)(57, 118)(58, 115)(59, 116)(60, 117)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 5 e = 60 f = 5
	degree seq :: [ 24^5 ]

E26.17 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, Z^-1 * B^-1 * A^-1 * Z^-1, Z * A^2 * Z, Z^-2 * A^-2, (S * Z)^2, S * A * S * B, Z * B * A * Z, A * B * A^2 * Z^-2, A^-1 * Z * A * Z * A^-1 * Z^-1 * A * Z^-1 * A^-1 * Z^-1, A * Z^-1 * B^-1 * Z^-1 * A^-1 * Z * A^-1 * Z^-1 * A^-1 * Z^-1 ]
Map::
	R = (1, 32, 62, 92, 2, 36, 66, 96, 6, 44, 74, 104, 14, 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, 41, 71, 101, 11, 33, 63, 93)(7, 46, 76, 106, 16, 38, 68, 98, 8, 48, 78, 108, 18, 42, 72, 102, 12, 47, 77, 107, 17, 37, 67, 97)(19, 55, 85, 115, 25, 50, 80, 110, 20, 57, 87, 117, 27, 51, 81, 111, 21, 56, 86, 116, 26, 49, 79, 109)(22, 58, 88, 118, 28, 53, 83, 113, 23, 60, 90, 120, 30, 54, 84, 114, 24, 59, 89, 119, 29, 52, 82, 112)
	L = (1, 63)(2, 67)(3, 70)(4, 72)(5, 61)(6, 65)(7, 64)(8, 62)(9, 79)(10, 75)(11, 81)(12, 74)(13, 80)(14, 68)(15, 66)(16, 82)(17, 84)(18, 83)(19, 71)(20, 69)(21, 73)(22, 77)(23, 76)(24, 78)(25, 89)(26, 90)(27, 88)(28, 85)(29, 86)(30, 87)(31, 95)(32, 98)(33, 91)(34, 97)(35, 96)(36, 105)(37, 92)(38, 104)(39, 110)(40, 93)(41, 109)(42, 94)(43, 111)(44, 102)(45, 100)(46, 113)(47, 112)(48, 114)(49, 99)(50, 103)(51, 101)(52, 106)(53, 108)(54, 107)(55, 118)(56, 119)(57, 120)(58, 117)(59, 115)(60, 116)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 5 e = 60 f = 5
	degree seq :: [ 24^5 ]

E26.18 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ S^2, B^-1 * Z * A * Z^-1, (B, A), (Z^-1 * A)^2, (S * Z)^2, S * A * S * B, A^-1 * Z * B * Z^-1, A^-1 * B^-1 * Z^2, B * A^-1 * B^3, B^-1 * A^4, (B * A)^3, (B^-2 * Z^-1)^2 ]
Map:: non-degenerate
	R = (1, 32, 62, 92, 2, 38, 68, 98, 8, 52, 82, 112, 22, 47, 77, 107, 17, 35, 65, 95, 5, 31, 61, 91)(3, 40, 70, 100, 10, 53, 83, 113, 23, 48, 78, 108, 18, 37, 67, 97, 7, 41, 71, 101, 11, 33, 63, 93)(4, 39, 69, 99, 9, 54, 84, 114, 24, 49, 79, 109, 19, 36, 66, 96, 6, 42, 72, 102, 12, 34, 64, 94)(13, 57, 87, 117, 27, 51, 81, 111, 21, 59, 89, 119, 29, 44, 74, 104, 14, 58, 88, 118, 28, 43, 73, 103)(15, 55, 85, 115, 25, 50, 80, 110, 20, 60, 90, 120, 30, 46, 76, 106, 16, 56, 86, 116, 26, 45, 75, 105)
	L = (1, 63)(2, 69)(3, 73)(4, 68)(5, 72)(6, 61)(7, 74)(8, 83)(9, 85)(10, 82)(11, 62)(12, 86)(13, 76)(14, 80)(15, 84)(16, 64)(17, 67)(18, 65)(19, 90)(20, 66)(21, 75)(22, 79)(23, 81)(24, 77)(25, 88)(26, 89)(27, 78)(28, 70)(29, 71)(30, 87)(31, 97)(32, 102)(33, 104)(34, 91)(35, 109)(36, 107)(37, 111)(38, 93)(39, 116)(40, 92)(41, 95)(42, 120)(43, 110)(44, 105)(45, 94)(46, 96)(47, 113)(48, 112)(49, 115)(50, 114)(51, 106)(52, 99)(53, 103)(54, 98)(55, 119)(56, 117)(57, 100)(58, 101)(59, 108)(60, 118)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 5 e = 60 f = 5
	degree seq :: [ 24^5 ]

E26.19 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ S^2, A * B * Z^2, (A^-1 * Z^-1)^2, B * Z * A^-1 * Z^-1, B * A * Z^2, A * Z * B^-1 * Z^-1, (S * Z)^2, S * B * S * A, (A^-1, B^-1), B^-1 * A^4, B^-1 * A * B^-3, B * A * B * A * Z^-2, Z^-1 * A * B * Z^-3 ]
Map:: non-degenerate
	R = (1, 32, 62, 92, 2, 38, 68, 98, 8, 52, 82, 112, 22, 44, 74, 104, 14, 35, 65, 95, 5, 31, 61, 91)(3, 40, 70, 100, 10, 37, 67, 97, 7, 41, 71, 101, 11, 54, 84, 114, 24, 45, 75, 105, 15, 33, 63, 93)(4, 39, 69, 99, 9, 36, 66, 96, 6, 42, 72, 102, 12, 53, 83, 113, 23, 48, 78, 108, 18, 34, 64, 94)(13, 57, 87, 117, 27, 46, 76, 106, 16, 58, 88, 118, 28, 51, 81, 111, 21, 59, 89, 119, 29, 43, 73, 103)(17, 55, 85, 115, 25, 49, 79, 109, 19, 56, 86, 116, 26, 50, 80, 110, 20, 60, 90, 120, 30, 47, 77, 107)
	L = (1, 63)(2, 69)(3, 73)(4, 74)(5, 78)(6, 61)(7, 76)(8, 67)(9, 85)(10, 65)(11, 62)(12, 86)(13, 79)(14, 84)(15, 82)(16, 80)(17, 83)(18, 90)(19, 64)(20, 66)(21, 77)(22, 72)(23, 68)(24, 81)(25, 88)(26, 89)(27, 75)(28, 70)(29, 71)(30, 87)(31, 97)(32, 102)(33, 106)(34, 91)(35, 99)(36, 98)(37, 111)(38, 114)(39, 116)(40, 92)(41, 112)(42, 120)(43, 110)(44, 93)(45, 95)(46, 107)(47, 94)(48, 115)(49, 96)(50, 113)(51, 109)(52, 108)(53, 104)(54, 103)(55, 119)(56, 117)(57, 100)(58, 101)(59, 105)(60, 118)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 5 e = 60 f = 5
	degree seq :: [ 24^5 ]

E26.20 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = C30 (small group id <30, 4>)
Aut   = C10 x S3 (small group id <60, 11>)
|r| :: 2
Presentation :: [ S^2, A * B, (B^-1, Z^-1), (S * Z)^2, S * B * S * A, (Z, A^-1), A^2 * B^-3, Z^6 ]
Map:: non-degenerate
	R = (1, 32, 62, 92, 2, 36, 66, 96, 6, 44, 74, 104, 14, 43, 73, 103, 13, 35, 65, 95, 5, 31, 61, 91)(3, 37, 67, 97, 7, 45, 75, 105, 15, 53, 83, 113, 23, 50, 80, 110, 20, 40, 70, 100, 10, 33, 63, 93)(4, 38, 68, 98, 8, 46, 76, 106, 16, 54, 84, 114, 24, 52, 82, 112, 22, 42, 72, 102, 12, 34, 64, 94)(9, 47, 77, 107, 17, 55, 85, 115, 25, 59, 89, 119, 29, 57, 87, 117, 27, 49, 79, 109, 19, 39, 69, 99)(11, 48, 78, 108, 18, 56, 86, 116, 26, 60, 90, 120, 30, 58, 88, 118, 28, 51, 81, 111, 21, 41, 71, 101)
	L = (1, 63)(2, 67)(3, 69)(4, 61)(5, 70)(6, 75)(7, 77)(8, 62)(9, 71)(10, 79)(11, 64)(12, 65)(13, 80)(14, 83)(15, 85)(16, 66)(17, 78)(18, 68)(19, 81)(20, 87)(21, 72)(22, 73)(23, 89)(24, 74)(25, 86)(26, 76)(27, 88)(28, 82)(29, 90)(30, 84)(31, 93)(32, 97)(33, 99)(34, 91)(35, 100)(36, 105)(37, 107)(38, 92)(39, 101)(40, 109)(41, 94)(42, 95)(43, 110)(44, 113)(45, 115)(46, 96)(47, 108)(48, 98)(49, 111)(50, 117)(51, 102)(52, 103)(53, 119)(54, 104)(55, 116)(56, 106)(57, 118)(58, 112)(59, 120)(60, 114)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 5 e = 60 f = 5
	degree seq :: [ 24^5 ]

E26.21 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = C30 (small group id <30, 4>)
Aut   = C10 x S3 (small group id <60, 11>)
|r| :: 2
Presentation :: [ S^2, A * B, S * B * S * A, (B^-1, Z^-1), (S * Z)^2, (A^-1, Z^-1), Z^6, A^4 * Z^3 * B^-1, Z^-1 * B * Z^-1 * B * A^-3 * Z^-1, B^4 * Z^3 * A^-1, Z^-1 * A * Z^-1 * A * B^-3 * Z^-1 ]
Map:: non-degenerate
	R = (1, 32, 62, 92, 2, 36, 66, 96, 6, 44, 74, 104, 14, 43, 73, 103, 13, 35, 65, 95, 5, 31, 61, 91)(3, 37, 67, 97, 7, 45, 75, 105, 15, 55, 85, 115, 25, 51, 81, 111, 21, 40, 70, 100, 10, 33, 63, 93)(4, 38, 68, 98, 8, 46, 76, 106, 16, 56, 86, 116, 26, 54, 84, 114, 24, 42, 72, 102, 12, 34, 64, 94)(9, 47, 77, 107, 17, 57, 87, 117, 27, 52, 82, 112, 22, 60, 90, 120, 30, 50, 80, 110, 20, 39, 69, 99)(11, 48, 78, 108, 18, 58, 88, 118, 28, 49, 79, 109, 19, 59, 89, 119, 29, 53, 83, 113, 23, 41, 71, 101)
	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, 85)(15, 87)(16, 66)(17, 89)(18, 68)(19, 86)(20, 88)(21, 90)(22, 71)(23, 72)(24, 73)(25, 82)(26, 74)(27, 83)(28, 76)(29, 84)(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, 115)(45, 117)(46, 96)(47, 119)(48, 98)(49, 116)(50, 118)(51, 120)(52, 101)(53, 102)(54, 103)(55, 112)(56, 104)(57, 113)(58, 106)(59, 114)(60, 108)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 5 e = 60 f = 5
	degree seq :: [ 24^5 ]

E26.22 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = C30 (small group id <30, 4>)
Aut   = C10 x S3 (small group id <60, 11>)
|r| :: 2
Presentation :: [ S^2, A^-1 * Z^-1 * B^-1 * Z^-1, A^-1 * Z^-2 * B^-1, (S * Z)^2, (B^-1, Z), Z^-1 * A^-1 * B^-1 * Z^-1, S * A * S * B, (A^-1, Z), A * B^-1 * A^3, A * B^-4, B * Z^-3 * A * Z^-1, (A * B)^3 ]
Map:: non-degenerate
	R = (1, 32, 62, 92, 2, 38, 68, 98, 8, 52, 82, 112, 22, 44, 74, 104, 14, 35, 65, 95, 5, 31, 61, 91)(3, 39, 69, 99, 9, 37, 67, 97, 7, 42, 72, 102, 12, 54, 84, 114, 24, 45, 75, 105, 15, 33, 63, 93)(4, 40, 70, 100, 10, 36, 66, 96, 6, 41, 71, 101, 11, 53, 83, 113, 23, 48, 78, 108, 18, 34, 64, 94)(13, 55, 85, 115, 25, 46, 76, 106, 16, 56, 86, 116, 26, 51, 81, 111, 21, 60, 90, 120, 30, 43, 73, 103)(17, 57, 87, 117, 27, 49, 79, 109, 19, 58, 88, 118, 28, 50, 80, 110, 20, 59, 89, 119, 29, 47, 77, 107)
	L = (1, 63)(2, 69)(3, 73)(4, 74)(5, 75)(6, 61)(7, 76)(8, 67)(9, 85)(10, 65)(11, 62)(12, 86)(13, 79)(14, 84)(15, 90)(16, 80)(17, 83)(18, 82)(19, 64)(20, 66)(21, 77)(22, 72)(23, 68)(24, 81)(25, 88)(26, 89)(27, 78)(28, 70)(29, 71)(30, 87)(31, 97)(32, 102)(33, 106)(34, 91)(35, 99)(36, 98)(37, 111)(38, 114)(39, 116)(40, 92)(41, 112)(42, 120)(43, 110)(44, 93)(45, 115)(46, 107)(47, 94)(48, 95)(49, 96)(50, 113)(51, 109)(52, 105)(53, 104)(54, 103)(55, 119)(56, 117)(57, 100)(58, 101)(59, 108)(60, 118)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 5 e = 60 f = 5
	degree seq :: [ 24^5 ]

E26.23 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B, (A, Z^-1), (S * Z)^2, S * A * S * B, A^2 * B * A^2, Z^6 ]
Map::
	R = (1, 32, 62, 92, 2, 36, 66, 96, 6, 44, 74, 104, 14, 41, 71, 101, 11, 34, 64, 94, 4, 31, 61, 91)(3, 37, 67, 97, 7, 45, 75, 105, 15, 53, 83, 113, 23, 50, 80, 110, 20, 40, 70, 100, 10, 33, 63, 93)(5, 38, 68, 98, 8, 46, 76, 106, 16, 54, 84, 114, 24, 51, 81, 111, 21, 42, 72, 102, 12, 35, 65, 95)(9, 47, 77, 107, 17, 55, 85, 115, 25, 59, 89, 119, 29, 57, 87, 117, 27, 49, 79, 109, 19, 39, 69, 99)(13, 48, 78, 108, 18, 56, 86, 116, 26, 60, 90, 120, 30, 58, 88, 118, 28, 52, 82, 112, 22, 43, 73, 103)
	L = (1, 63)(2, 67)(3, 69)(4, 70)(5, 61)(6, 75)(7, 77)(8, 62)(9, 73)(10, 79)(11, 80)(12, 64)(13, 65)(14, 83)(15, 85)(16, 66)(17, 78)(18, 68)(19, 82)(20, 87)(21, 71)(22, 72)(23, 89)(24, 74)(25, 86)(26, 76)(27, 88)(28, 81)(29, 90)(30, 84)(31, 95)(32, 98)(33, 91)(34, 102)(35, 103)(36, 106)(37, 92)(38, 108)(39, 93)(40, 94)(41, 111)(42, 112)(43, 99)(44, 114)(45, 96)(46, 116)(47, 97)(48, 107)(49, 100)(50, 101)(51, 118)(52, 109)(53, 104)(54, 120)(55, 105)(56, 115)(57, 110)(58, 117)(59, 113)(60, 119)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 5 e = 60 f = 5
	degree seq :: [ 24^5 ]

E26.24 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, A * B^-1, A^-1 * B, (A^-1, Z), (B, Z^-1), (S * Z)^2, S * A * S * B, Z^6, Z^-1 * B * Z^-1 * B * A * Z^-1 * A^2 ]
Map::
	R = (1, 32, 62, 92, 2, 36, 66, 96, 6, 44, 74, 104, 14, 41, 71, 101, 11, 34, 64, 94, 4, 31, 61, 91)(3, 37, 67, 97, 7, 45, 75, 105, 15, 55, 85, 115, 25, 51, 81, 111, 21, 40, 70, 100, 10, 33, 63, 93)(5, 38, 68, 98, 8, 46, 76, 106, 16, 56, 86, 116, 26, 52, 82, 112, 22, 42, 72, 102, 12, 35, 65, 95)(9, 47, 77, 107, 17, 57, 87, 117, 27, 54, 84, 114, 24, 60, 90, 120, 30, 50, 80, 110, 20, 39, 69, 99)(13, 48, 78, 108, 18, 58, 88, 118, 28, 49, 79, 109, 19, 59, 89, 119, 29, 53, 83, 113, 23, 43, 73, 103)
	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, 85)(15, 87)(16, 66)(17, 89)(18, 68)(19, 86)(20, 88)(21, 90)(22, 71)(23, 72)(24, 73)(25, 84)(26, 74)(27, 83)(28, 76)(29, 82)(30, 78)(31, 95)(32, 98)(33, 91)(34, 102)(35, 103)(36, 106)(37, 92)(38, 108)(39, 93)(40, 94)(41, 112)(42, 113)(43, 114)(44, 116)(45, 96)(46, 118)(47, 97)(48, 120)(49, 99)(50, 100)(51, 101)(52, 119)(53, 117)(54, 115)(55, 104)(56, 109)(57, 105)(58, 110)(59, 107)(60, 111)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 5 e = 60 f = 5
	degree seq :: [ 24^5 ]

E26.25 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, B * A^-1, A * B^-1, (A, Z), S * B * S * A, (S * Z)^2, Z^6, A^5 * Z^2, Z * B^-3 * Z^2 * B^-2 * Z ]
Map::
	R = (1, 32, 62, 92, 2, 36, 66, 96, 6, 44, 74, 104, 14, 41, 71, 101, 11, 34, 64, 94, 4, 31, 61, 91)(3, 37, 67, 97, 7, 45, 75, 105, 15, 55, 85, 115, 25, 51, 81, 111, 21, 40, 70, 100, 10, 33, 63, 93)(5, 38, 68, 98, 8, 46, 76, 106, 16, 56, 86, 116, 26, 52, 82, 112, 22, 42, 72, 102, 12, 35, 65, 95)(9, 47, 77, 107, 17, 54, 84, 114, 24, 58, 88, 118, 28, 60, 90, 120, 30, 50, 80, 110, 20, 39, 69, 99)(13, 48, 78, 108, 18, 57, 87, 117, 27, 59, 89, 119, 29, 49, 79, 109, 19, 53, 83, 113, 23, 43, 73, 103)
	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, 85)(15, 84)(16, 66)(17, 83)(18, 68)(19, 82)(20, 89)(21, 90)(22, 71)(23, 72)(24, 73)(25, 88)(26, 74)(27, 76)(28, 78)(29, 86)(30, 87)(31, 95)(32, 98)(33, 91)(34, 102)(35, 103)(36, 106)(37, 92)(38, 108)(39, 93)(40, 94)(41, 112)(42, 113)(43, 114)(44, 116)(45, 96)(46, 117)(47, 97)(48, 118)(49, 99)(50, 100)(51, 101)(52, 109)(53, 107)(54, 105)(55, 104)(56, 119)(57, 120)(58, 115)(59, 110)(60, 111)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 5 e = 60 f = 5
	degree seq :: [ 24^5 ]

E26.26 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Z^2, S^2, B * A^-1, (S * Z)^2, S * A * S * B, A * Z * A^-1 * Z, A^25 ]
Map::
	R = (1, 52, 102, 152, 2, 51, 101, 151)(3, 55, 105, 155, 5, 53, 103, 153)(4, 56, 106, 156, 6, 54, 104, 154)(7, 59, 109, 159, 9, 57, 107, 157)(8, 60, 110, 160, 10, 58, 108, 158)(11, 63, 113, 163, 13, 61, 111, 161)(12, 64, 114, 164, 14, 62, 112, 162)(15, 67, 117, 167, 17, 65, 115, 165)(16, 68, 118, 168, 18, 66, 116, 166)(19, 71, 121, 171, 21, 69, 119, 169)(20, 72, 122, 172, 22, 70, 120, 170)(23, 75, 125, 175, 25, 73, 123, 173)(24, 76, 126, 176, 26, 74, 124, 174)(27, 79, 129, 179, 29, 77, 127, 177)(28, 80, 130, 180, 30, 78, 128, 178)(31, 83, 133, 183, 33, 81, 131, 181)(32, 84, 134, 184, 34, 82, 132, 182)(35, 87, 137, 187, 37, 85, 135, 185)(36, 88, 138, 188, 38, 86, 136, 186)(39, 91, 141, 191, 41, 89, 139, 189)(40, 92, 142, 192, 42, 90, 140, 190)(43, 95, 145, 195, 45, 93, 143, 193)(44, 96, 146, 196, 46, 94, 144, 194)(47, 99, 149, 199, 49, 97, 147, 197)(48, 100, 150, 200, 50, 98, 148, 198)
	L = (1, 103)(2, 105)(3, 107)(4, 101)(5, 109)(6, 102)(7, 111)(8, 104)(9, 113)(10, 106)(11, 115)(12, 108)(13, 117)(14, 110)(15, 119)(16, 112)(17, 121)(18, 114)(19, 123)(20, 116)(21, 125)(22, 118)(23, 127)(24, 120)(25, 129)(26, 122)(27, 131)(28, 124)(29, 133)(30, 126)(31, 135)(32, 128)(33, 137)(34, 130)(35, 139)(36, 132)(37, 141)(38, 134)(39, 143)(40, 136)(41, 145)(42, 138)(43, 147)(44, 140)(45, 149)(46, 142)(47, 148)(48, 144)(49, 150)(50, 146)(51, 154)(52, 156)(53, 151)(54, 158)(55, 152)(56, 160)(57, 153)(58, 162)(59, 155)(60, 164)(61, 157)(62, 166)(63, 159)(64, 168)(65, 161)(66, 170)(67, 163)(68, 172)(69, 165)(70, 174)(71, 167)(72, 176)(73, 169)(74, 178)(75, 171)(76, 180)(77, 173)(78, 182)(79, 175)(80, 184)(81, 177)(82, 186)(83, 179)(84, 188)(85, 181)(86, 190)(87, 183)(88, 192)(89, 185)(90, 194)(91, 187)(92, 196)(93, 189)(94, 198)(95, 191)(96, 200)(97, 193)(98, 197)(99, 195)(100, 199)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 25 e = 100 f = 25
	degree seq :: [ 8^25 ]

E26.27 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^2, B^-1 * A, (S * Z)^2, S * A * S * B, (A * Z)^25 ]
Map::
	R = (1, 52, 102, 152, 2, 51, 101, 151)(3, 55, 105, 155, 5, 53, 103, 153)(4, 56, 106, 156, 6, 54, 104, 154)(7, 59, 109, 159, 9, 57, 107, 157)(8, 60, 110, 160, 10, 58, 108, 158)(11, 63, 113, 163, 13, 61, 111, 161)(12, 64, 114, 164, 14, 62, 112, 162)(15, 67, 117, 167, 17, 65, 115, 165)(16, 74, 124, 174, 24, 66, 116, 166)(18, 77, 127, 177, 27, 68, 118, 168)(19, 76, 126, 176, 26, 69, 119, 169)(20, 78, 128, 178, 28, 70, 120, 170)(21, 79, 129, 179, 29, 71, 121, 171)(22, 80, 130, 180, 30, 72, 122, 172)(23, 81, 131, 181, 31, 73, 123, 173)(25, 82, 132, 182, 32, 75, 125, 175)(33, 84, 134, 184, 34, 83, 133, 183)(35, 87, 137, 187, 37, 85, 135, 185)(36, 94, 144, 194, 44, 86, 136, 186)(38, 97, 147, 197, 47, 88, 138, 188)(39, 96, 146, 196, 46, 89, 139, 189)(40, 98, 148, 198, 48, 90, 140, 190)(41, 99, 149, 199, 49, 91, 141, 191)(42, 100, 150, 200, 50, 92, 142, 192)(43, 95, 145, 195, 45, 93, 143, 193)
	L = (1, 103)(2, 104)(3, 101)(4, 102)(5, 107)(6, 108)(7, 105)(8, 106)(9, 111)(10, 112)(11, 109)(12, 110)(13, 115)(14, 124)(15, 113)(16, 126)(17, 127)(18, 128)(19, 129)(20, 130)(21, 131)(22, 132)(23, 133)(24, 114)(25, 135)(26, 116)(27, 117)(28, 118)(29, 119)(30, 120)(31, 121)(32, 122)(33, 123)(34, 144)(35, 125)(36, 146)(37, 147)(38, 148)(39, 149)(40, 150)(41, 145)(42, 143)(43, 142)(44, 134)(45, 141)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 153)(52, 154)(53, 151)(54, 152)(55, 157)(56, 158)(57, 155)(58, 156)(59, 161)(60, 162)(61, 159)(62, 160)(63, 165)(64, 174)(65, 163)(66, 176)(67, 177)(68, 178)(69, 179)(70, 180)(71, 181)(72, 182)(73, 183)(74, 164)(75, 185)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 194)(85, 175)(86, 196)(87, 197)(88, 198)(89, 199)(90, 200)(91, 195)(92, 193)(93, 192)(94, 184)(95, 191)(96, 186)(97, 187)(98, 188)(99, 189)(100, 190)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 25 e = 100 f = 25
	degree seq :: [ 8^25 ]

E26.28 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = D50 (small group id <50, 1>)
Aut   = D100 (small group id <100, 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^13 * B^-12 ]
Map:: non-degenerate
	R = (1, 52, 102, 152, 2, 51, 101, 151)(3, 56, 106, 156, 6, 53, 103, 153)(4, 55, 105, 155, 5, 54, 104, 154)(7, 60, 110, 160, 10, 57, 107, 157)(8, 59, 109, 159, 9, 58, 108, 158)(11, 64, 114, 164, 14, 61, 111, 161)(12, 63, 113, 163, 13, 62, 112, 162)(15, 68, 118, 168, 18, 65, 115, 165)(16, 67, 117, 167, 17, 66, 116, 166)(19, 72, 122, 172, 22, 69, 119, 169)(20, 71, 121, 171, 21, 70, 120, 170)(23, 76, 126, 176, 26, 73, 123, 173)(24, 75, 125, 175, 25, 74, 124, 174)(27, 80, 130, 180, 30, 77, 127, 177)(28, 79, 129, 179, 29, 78, 128, 178)(31, 84, 134, 184, 34, 81, 131, 181)(32, 83, 133, 183, 33, 82, 132, 182)(35, 88, 138, 188, 38, 85, 135, 185)(36, 87, 137, 187, 37, 86, 136, 186)(39, 92, 142, 192, 42, 89, 139, 189)(40, 91, 141, 191, 41, 90, 140, 190)(43, 96, 146, 196, 46, 93, 143, 193)(44, 95, 145, 195, 45, 94, 144, 194)(47, 100, 150, 200, 50, 97, 147, 197)(48, 99, 149, 199, 49, 98, 148, 198)
	L = (1, 103)(2, 105)(3, 107)(4, 101)(5, 109)(6, 102)(7, 111)(8, 104)(9, 113)(10, 106)(11, 115)(12, 108)(13, 117)(14, 110)(15, 119)(16, 112)(17, 121)(18, 114)(19, 123)(20, 116)(21, 125)(22, 118)(23, 127)(24, 120)(25, 129)(26, 122)(27, 131)(28, 124)(29, 133)(30, 126)(31, 135)(32, 128)(33, 137)(34, 130)(35, 139)(36, 132)(37, 141)(38, 134)(39, 143)(40, 136)(41, 145)(42, 138)(43, 147)(44, 140)(45, 149)(46, 142)(47, 148)(48, 144)(49, 150)(50, 146)(51, 153)(52, 155)(53, 157)(54, 151)(55, 159)(56, 152)(57, 161)(58, 154)(59, 163)(60, 156)(61, 165)(62, 158)(63, 167)(64, 160)(65, 169)(66, 162)(67, 171)(68, 164)(69, 173)(70, 166)(71, 175)(72, 168)(73, 177)(74, 170)(75, 179)(76, 172)(77, 181)(78, 174)(79, 183)(80, 176)(81, 185)(82, 178)(83, 187)(84, 180)(85, 189)(86, 182)(87, 191)(88, 184)(89, 193)(90, 186)(91, 195)(92, 188)(93, 197)(94, 190)(95, 199)(96, 192)(97, 198)(98, 194)(99, 200)(100, 196)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 25 e = 100 f = 25
	degree seq :: [ 8^25 ]

E26.29 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C50 (small group id <50, 2>)
Aut   = C50 x C2 (small group id <100, 5>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^-1 * A^-1, (S * Z)^2, S * B * S * A, B * Z * B^-1 * Z, A * Z * A^-1 * Z, A^13 * B^-12 ]
Map:: non-degenerate
	R = (1, 52, 102, 152, 2, 51, 101, 151)(3, 55, 105, 155, 5, 53, 103, 153)(4, 56, 106, 156, 6, 54, 104, 154)(7, 59, 109, 159, 9, 57, 107, 157)(8, 60, 110, 160, 10, 58, 108, 158)(11, 63, 113, 163, 13, 61, 111, 161)(12, 64, 114, 164, 14, 62, 112, 162)(15, 67, 117, 167, 17, 65, 115, 165)(16, 68, 118, 168, 18, 66, 116, 166)(19, 71, 121, 171, 21, 69, 119, 169)(20, 72, 122, 172, 22, 70, 120, 170)(23, 75, 125, 175, 25, 73, 123, 173)(24, 76, 126, 176, 26, 74, 124, 174)(27, 79, 129, 179, 29, 77, 127, 177)(28, 80, 130, 180, 30, 78, 128, 178)(31, 83, 133, 183, 33, 81, 131, 181)(32, 84, 134, 184, 34, 82, 132, 182)(35, 87, 137, 187, 37, 85, 135, 185)(36, 88, 138, 188, 38, 86, 136, 186)(39, 91, 141, 191, 41, 89, 139, 189)(40, 92, 142, 192, 42, 90, 140, 190)(43, 95, 145, 195, 45, 93, 143, 193)(44, 96, 146, 196, 46, 94, 144, 194)(47, 99, 149, 199, 49, 97, 147, 197)(48, 100, 150, 200, 50, 98, 148, 198)
	L = (1, 103)(2, 105)(3, 107)(4, 101)(5, 109)(6, 102)(7, 111)(8, 104)(9, 113)(10, 106)(11, 115)(12, 108)(13, 117)(14, 110)(15, 119)(16, 112)(17, 121)(18, 114)(19, 123)(20, 116)(21, 125)(22, 118)(23, 127)(24, 120)(25, 129)(26, 122)(27, 131)(28, 124)(29, 133)(30, 126)(31, 135)(32, 128)(33, 137)(34, 130)(35, 139)(36, 132)(37, 141)(38, 134)(39, 143)(40, 136)(41, 145)(42, 138)(43, 147)(44, 140)(45, 149)(46, 142)(47, 148)(48, 144)(49, 150)(50, 146)(51, 153)(52, 155)(53, 157)(54, 151)(55, 159)(56, 152)(57, 161)(58, 154)(59, 163)(60, 156)(61, 165)(62, 158)(63, 167)(64, 160)(65, 169)(66, 162)(67, 171)(68, 164)(69, 173)(70, 166)(71, 175)(72, 168)(73, 177)(74, 170)(75, 179)(76, 172)(77, 181)(78, 174)(79, 183)(80, 176)(81, 185)(82, 178)(83, 187)(84, 180)(85, 189)(86, 182)(87, 191)(88, 184)(89, 193)(90, 186)(91, 195)(92, 188)(93, 197)(94, 190)(95, 199)(96, 192)(97, 198)(98, 194)(99, 200)(100, 196)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 25 e = 100 f = 25
	degree seq :: [ 8^25 ]

E26.30 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ Z^2, S^2, S * B * S * A, (S * Z)^2, (A, B^-1), A^-1 * Z * B * Z, A^5, B^5 ]
Map:: non-degenerate
	R = (1, 52, 102, 152, 2, 51, 101, 151)(3, 58, 108, 158, 8, 53, 103, 153)(4, 57, 107, 157, 7, 54, 104, 154)(5, 60, 110, 160, 10, 55, 105, 155)(6, 59, 109, 159, 9, 56, 106, 156)(11, 72, 122, 172, 22, 61, 111, 161)(12, 70, 120, 170, 20, 62, 112, 162)(13, 73, 123, 173, 23, 63, 113, 163)(14, 69, 119, 169, 19, 64, 114, 164)(15, 71, 121, 171, 21, 65, 115, 165)(16, 76, 126, 176, 26, 66, 116, 166)(17, 75, 125, 175, 25, 67, 117, 167)(18, 74, 124, 174, 24, 68, 118, 168)(27, 87, 137, 187, 37, 77, 127, 177)(28, 89, 139, 189, 39, 78, 128, 178)(29, 85, 135, 185, 35, 79, 129, 179)(30, 90, 140, 190, 40, 80, 130, 180)(31, 86, 136, 186, 36, 81, 131, 181)(32, 88, 138, 188, 38, 82, 132, 182)(33, 92, 142, 192, 42, 83, 133, 183)(34, 91, 141, 191, 41, 84, 134, 184)(43, 97, 147, 197, 47, 93, 143, 193)(44, 99, 149, 199, 49, 94, 144, 194)(45, 98, 148, 198, 48, 95, 145, 195)(46, 100, 150, 200, 50, 96, 146, 196)
	L = (1, 103)(2, 107)(3, 111)(4, 112)(5, 101)(6, 113)(7, 119)(8, 120)(9, 102)(10, 121)(11, 116)(12, 127)(13, 128)(14, 129)(15, 104)(16, 105)(17, 106)(18, 130)(19, 124)(20, 135)(21, 136)(22, 137)(23, 108)(24, 109)(25, 110)(26, 138)(27, 132)(28, 133)(29, 143)(30, 144)(31, 114)(32, 115)(33, 117)(34, 118)(35, 140)(36, 141)(37, 147)(38, 148)(39, 122)(40, 123)(41, 125)(42, 126)(43, 145)(44, 146)(45, 131)(46, 134)(47, 149)(48, 150)(49, 139)(50, 142)(51, 156)(52, 160)(53, 163)(54, 151)(55, 167)(56, 168)(57, 171)(58, 152)(59, 175)(60, 176)(61, 178)(62, 153)(63, 180)(64, 154)(65, 155)(66, 183)(67, 184)(68, 164)(69, 186)(70, 157)(71, 188)(72, 158)(73, 159)(74, 191)(75, 192)(76, 172)(77, 161)(78, 194)(79, 162)(80, 179)(81, 165)(82, 166)(83, 196)(84, 181)(85, 169)(86, 198)(87, 170)(88, 187)(89, 173)(90, 174)(91, 200)(92, 189)(93, 177)(94, 193)(95, 182)(96, 195)(97, 185)(98, 197)(99, 190)(100, 199)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 25 e = 100 f = 25
	degree seq :: [ 8^25 ]

E26.31 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ Z^2, S^2, B * A^-1, S * A * S * B, (S * Z)^2, A^-1 * Z * A^2 * Z * A^-1, A^10, (A^-1 * Z)^5 ]
Map::
	R = (1, 52, 102, 152, 2, 51, 101, 151)(3, 57, 107, 157, 7, 53, 103, 153)(4, 59, 109, 159, 9, 54, 104, 154)(5, 61, 111, 161, 11, 55, 105, 155)(6, 63, 113, 163, 13, 56, 106, 156)(8, 62, 112, 162, 12, 58, 108, 158)(10, 64, 114, 164, 14, 60, 110, 160)(15, 75, 125, 175, 25, 65, 115, 165)(16, 77, 127, 177, 27, 66, 116, 166)(17, 76, 126, 176, 26, 67, 117, 167)(18, 79, 129, 179, 29, 68, 118, 168)(19, 80, 130, 180, 30, 69, 119, 169)(20, 82, 132, 182, 32, 70, 120, 170)(21, 84, 134, 184, 34, 71, 121, 171)(22, 83, 133, 183, 33, 72, 122, 172)(23, 86, 136, 186, 36, 73, 123, 173)(24, 87, 137, 187, 37, 74, 124, 174)(28, 85, 135, 185, 35, 78, 128, 178)(31, 88, 138, 188, 38, 81, 131, 181)(39, 98, 148, 198, 48, 89, 139, 189)(40, 96, 146, 196, 46, 90, 140, 190)(41, 95, 145, 195, 45, 91, 141, 191)(42, 99, 149, 199, 49, 92, 142, 192)(43, 94, 144, 194, 44, 93, 143, 193)(47, 100, 150, 200, 50, 97, 147, 197)
	L = (1, 103)(2, 105)(3, 108)(4, 101)(5, 112)(6, 102)(7, 115)(8, 117)(9, 116)(10, 104)(11, 120)(12, 122)(13, 121)(14, 106)(15, 126)(16, 107)(17, 128)(18, 109)(19, 110)(20, 133)(21, 111)(22, 135)(23, 113)(24, 114)(25, 136)(26, 140)(27, 139)(28, 142)(29, 141)(30, 118)(31, 119)(32, 129)(33, 145)(34, 144)(35, 147)(36, 146)(37, 123)(38, 124)(39, 125)(40, 149)(41, 127)(42, 131)(43, 130)(44, 132)(45, 150)(46, 134)(47, 138)(48, 137)(49, 143)(50, 148)(51, 154)(52, 156)(53, 151)(54, 160)(55, 152)(56, 164)(57, 166)(58, 153)(59, 168)(60, 169)(61, 171)(62, 155)(63, 173)(64, 174)(65, 157)(66, 159)(67, 158)(68, 180)(69, 181)(70, 161)(71, 163)(72, 162)(73, 187)(74, 188)(75, 189)(76, 165)(77, 191)(78, 167)(79, 182)(80, 193)(81, 192)(82, 194)(83, 170)(84, 196)(85, 172)(86, 175)(87, 198)(88, 197)(89, 177)(90, 176)(91, 179)(92, 178)(93, 199)(94, 184)(95, 183)(96, 186)(97, 185)(98, 200)(99, 190)(100, 195)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 25 e = 100 f = 25
	degree seq :: [ 8^25 ]

E26.32 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C5 x C5) : C2 (small group id <50, 4>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ Z^2, A^2, S^2, B^2, S * A * S * B, (S * Z)^2, (B * Z * A)^2, (B * A)^5, (A * Z)^5, (B * Z)^5 ]
Map:: non-degenerate
	R = (1, 52, 102, 152, 2, 51, 101, 151)(3, 57, 107, 157, 7, 53, 103, 153)(4, 59, 109, 159, 9, 54, 104, 154)(5, 61, 111, 161, 11, 55, 105, 155)(6, 63, 113, 163, 13, 56, 106, 156)(8, 64, 114, 164, 14, 58, 108, 158)(10, 62, 112, 162, 12, 60, 110, 160)(15, 75, 125, 175, 25, 65, 115, 165)(16, 77, 127, 177, 27, 66, 116, 166)(17, 76, 126, 176, 26, 67, 117, 167)(18, 79, 129, 179, 29, 68, 118, 168)(19, 80, 130, 180, 30, 69, 119, 169)(20, 82, 132, 182, 32, 70, 120, 170)(21, 84, 134, 184, 34, 71, 121, 171)(22, 83, 133, 183, 33, 72, 122, 172)(23, 86, 136, 186, 36, 73, 123, 173)(24, 87, 137, 187, 37, 74, 124, 174)(28, 88, 138, 188, 38, 78, 128, 178)(31, 85, 135, 185, 35, 81, 131, 181)(39, 95, 145, 195, 45, 89, 139, 189)(40, 94, 144, 194, 44, 90, 140, 190)(41, 98, 148, 198, 48, 91, 141, 191)(42, 99, 149, 199, 49, 92, 142, 192)(43, 96, 146, 196, 46, 93, 143, 193)(47, 100, 150, 200, 50, 97, 147, 197)
	L = (1, 103)(2, 105)(3, 101)(4, 110)(5, 102)(6, 114)(7, 115)(8, 117)(9, 116)(10, 104)(11, 120)(12, 122)(13, 121)(14, 106)(15, 107)(16, 109)(17, 108)(18, 130)(19, 131)(20, 111)(21, 113)(22, 112)(23, 137)(24, 138)(25, 132)(26, 140)(27, 139)(28, 142)(29, 141)(30, 118)(31, 119)(32, 125)(33, 145)(34, 144)(35, 147)(36, 146)(37, 123)(38, 124)(39, 127)(40, 126)(41, 129)(42, 128)(43, 149)(44, 134)(45, 133)(46, 136)(47, 135)(48, 150)(49, 143)(50, 148)(51, 154)(52, 156)(53, 158)(54, 151)(55, 162)(56, 152)(57, 166)(58, 153)(59, 168)(60, 169)(61, 171)(62, 155)(63, 173)(64, 174)(65, 176)(66, 157)(67, 178)(68, 159)(69, 160)(70, 183)(71, 161)(72, 185)(73, 163)(74, 164)(75, 189)(76, 165)(77, 191)(78, 167)(79, 186)(80, 193)(81, 192)(82, 194)(83, 170)(84, 196)(85, 172)(86, 179)(87, 198)(88, 197)(89, 175)(90, 199)(91, 177)(92, 181)(93, 180)(94, 182)(95, 200)(96, 184)(97, 188)(98, 187)(99, 190)(100, 195)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 25 e = 100 f = 25
	degree seq :: [ 8^25 ]

E26.33 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C10 x C5 (small group id <50, 5>)
Aut   = C10 x D10 (small group id <100, 14>)
|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^5, A^5 ]
Map:: non-degenerate
	R = (1, 52, 102, 152, 2, 51, 101, 151)(3, 57, 107, 157, 7, 53, 103, 153)(4, 58, 108, 158, 8, 54, 104, 154)(5, 59, 109, 159, 9, 55, 105, 155)(6, 60, 110, 160, 10, 56, 106, 156)(11, 69, 119, 169, 19, 61, 111, 161)(12, 70, 120, 170, 20, 62, 112, 162)(13, 71, 121, 171, 21, 63, 113, 163)(14, 72, 122, 172, 22, 64, 114, 164)(15, 73, 123, 173, 23, 65, 115, 165)(16, 74, 124, 174, 24, 66, 116, 166)(17, 75, 125, 175, 25, 67, 117, 167)(18, 76, 126, 176, 26, 68, 118, 168)(27, 85, 135, 185, 35, 77, 127, 177)(28, 86, 136, 186, 36, 78, 128, 178)(29, 87, 137, 187, 37, 79, 129, 179)(30, 88, 138, 188, 38, 80, 130, 180)(31, 89, 139, 189, 39, 81, 131, 181)(32, 90, 140, 190, 40, 82, 132, 182)(33, 91, 141, 191, 41, 83, 133, 183)(34, 92, 142, 192, 42, 84, 134, 184)(43, 97, 147, 197, 47, 93, 143, 193)(44, 98, 148, 198, 48, 94, 144, 194)(45, 99, 149, 199, 49, 95, 145, 195)(46, 100, 150, 200, 50, 96, 146, 196)
	L = (1, 103)(2, 107)(3, 111)(4, 112)(5, 101)(6, 113)(7, 119)(8, 120)(9, 102)(10, 121)(11, 116)(12, 127)(13, 128)(14, 129)(15, 104)(16, 105)(17, 106)(18, 130)(19, 124)(20, 135)(21, 136)(22, 137)(23, 108)(24, 109)(25, 110)(26, 138)(27, 132)(28, 133)(29, 143)(30, 144)(31, 114)(32, 115)(33, 117)(34, 118)(35, 140)(36, 141)(37, 147)(38, 148)(39, 122)(40, 123)(41, 125)(42, 126)(43, 145)(44, 146)(45, 131)(46, 134)(47, 149)(48, 150)(49, 139)(50, 142)(51, 156)(52, 160)(53, 163)(54, 151)(55, 167)(56, 168)(57, 171)(58, 152)(59, 175)(60, 176)(61, 178)(62, 153)(63, 180)(64, 154)(65, 155)(66, 183)(67, 184)(68, 164)(69, 186)(70, 157)(71, 188)(72, 158)(73, 159)(74, 191)(75, 192)(76, 172)(77, 161)(78, 194)(79, 162)(80, 179)(81, 165)(82, 166)(83, 196)(84, 181)(85, 169)(86, 198)(87, 170)(88, 187)(89, 173)(90, 174)(91, 200)(92, 189)(93, 177)(94, 193)(95, 182)(96, 195)(97, 185)(98, 197)(99, 190)(100, 199)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 25 e = 100 f = 25
	degree seq :: [ 8^25 ]

E26.34 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = C10 x D10 (small group id <100, 14>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^-1 * A^-1, S * B * S * A, (S * Z)^2, A^3 * B^-2, A * Z * B * Z * A^-1 * Z * B^-1 * Z, B * Z * B * Z * B^-1 * Z * B^-1 * Z, A * Z * A * Z * A^-1 * Z * A^-1 * Z, A^2 * Z * B^2 * Z * A^-2 * Z * B^-2 * Z, B^2 * Z * B^2 * Z * B^-2 * Z * B^-2 * Z, A^2 * Z * A^2 * Z * A^-2 * Z * A^-2 * Z ]
Map:: non-degenerate
	R = (1, 52, 102, 152, 2, 51, 101, 151)(3, 57, 107, 157, 7, 53, 103, 153)(4, 59, 109, 159, 9, 54, 104, 154)(5, 61, 111, 161, 11, 55, 105, 155)(6, 63, 113, 163, 13, 56, 106, 156)(8, 67, 117, 167, 17, 58, 108, 158)(10, 70, 120, 170, 20, 60, 110, 160)(12, 73, 123, 173, 23, 62, 112, 162)(14, 76, 126, 176, 26, 64, 114, 164)(15, 71, 121, 171, 21, 65, 115, 165)(16, 74, 124, 174, 24, 66, 116, 166)(18, 72, 122, 172, 22, 68, 118, 168)(19, 75, 125, 175, 25, 69, 119, 169)(27, 87, 137, 187, 37, 77, 127, 177)(28, 91, 141, 191, 41, 78, 128, 178)(29, 85, 135, 185, 35, 79, 129, 179)(30, 89, 139, 189, 39, 80, 130, 180)(31, 88, 138, 188, 38, 81, 131, 181)(32, 92, 142, 192, 42, 82, 132, 182)(33, 86, 136, 186, 36, 83, 133, 183)(34, 90, 140, 190, 40, 84, 134, 184)(43, 97, 147, 197, 47, 93, 143, 193)(44, 99, 149, 199, 49, 94, 144, 194)(45, 98, 148, 198, 48, 95, 145, 195)(46, 100, 150, 200, 50, 96, 146, 196)
	L = (1, 103)(2, 105)(3, 108)(4, 101)(5, 112)(6, 102)(7, 115)(8, 110)(9, 118)(10, 104)(11, 121)(12, 114)(13, 124)(14, 106)(15, 127)(16, 107)(17, 129)(18, 131)(19, 109)(20, 133)(21, 135)(22, 111)(23, 137)(24, 139)(25, 113)(26, 141)(27, 128)(28, 116)(29, 143)(30, 117)(31, 132)(32, 119)(33, 145)(34, 120)(35, 136)(36, 122)(37, 147)(38, 123)(39, 140)(40, 125)(41, 149)(42, 126)(43, 144)(44, 130)(45, 146)(46, 134)(47, 148)(48, 138)(49, 150)(50, 142)(51, 153)(52, 155)(53, 158)(54, 151)(55, 162)(56, 152)(57, 165)(58, 160)(59, 168)(60, 154)(61, 171)(62, 164)(63, 174)(64, 156)(65, 177)(66, 157)(67, 179)(68, 181)(69, 159)(70, 183)(71, 185)(72, 161)(73, 187)(74, 189)(75, 163)(76, 191)(77, 178)(78, 166)(79, 193)(80, 167)(81, 182)(82, 169)(83, 195)(84, 170)(85, 186)(86, 172)(87, 197)(88, 173)(89, 190)(90, 175)(91, 199)(92, 176)(93, 194)(94, 180)(95, 196)(96, 184)(97, 198)(98, 188)(99, 200)(100, 192)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 25 e = 100 f = 25
	degree seq :: [ 8^25 ]

E26.35 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = C10 x D10 (small group id <100, 14>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^-1, (S * Z)^2, S * A * S * B, A^2 * Z * A^-2 * Z, B^2 * Z * B^-2 * Z, B * Z * A * B^-1 * Z * A^-1, B^4 * A^-4 * B * A^-1, A * Z * A * Z * B^-1 * Z * B^-1 * Z * B^-1 * Z ]
Map:: non-degenerate
	R = (1, 52, 102, 152, 2, 51, 101, 151)(3, 57, 107, 157, 7, 53, 103, 153)(4, 59, 109, 159, 9, 54, 104, 154)(5, 61, 111, 161, 11, 55, 105, 155)(6, 63, 113, 163, 13, 56, 106, 156)(8, 62, 112, 162, 12, 58, 108, 158)(10, 64, 114, 164, 14, 60, 110, 160)(15, 75, 125, 175, 25, 65, 115, 165)(16, 77, 127, 177, 27, 66, 116, 166)(17, 76, 126, 176, 26, 67, 117, 167)(18, 79, 129, 179, 29, 68, 118, 168)(19, 80, 130, 180, 30, 69, 119, 169)(20, 82, 132, 182, 32, 70, 120, 170)(21, 84, 134, 184, 34, 71, 121, 171)(22, 83, 133, 183, 33, 72, 122, 172)(23, 86, 136, 186, 36, 73, 123, 173)(24, 87, 137, 187, 37, 74, 124, 174)(28, 85, 135, 185, 35, 78, 128, 178)(31, 88, 138, 188, 38, 81, 131, 181)(39, 98, 148, 198, 48, 89, 139, 189)(40, 96, 146, 196, 46, 90, 140, 190)(41, 95, 145, 195, 45, 91, 141, 191)(42, 99, 149, 199, 49, 92, 142, 192)(43, 94, 144, 194, 44, 93, 143, 193)(47, 100, 150, 200, 50, 97, 147, 197)
	L = (1, 103)(2, 105)(3, 108)(4, 101)(5, 112)(6, 102)(7, 115)(8, 117)(9, 116)(10, 104)(11, 120)(12, 122)(13, 121)(14, 106)(15, 126)(16, 107)(17, 128)(18, 109)(19, 110)(20, 133)(21, 111)(22, 135)(23, 113)(24, 114)(25, 136)(26, 140)(27, 139)(28, 142)(29, 141)(30, 118)(31, 119)(32, 129)(33, 145)(34, 144)(35, 147)(36, 146)(37, 123)(38, 124)(39, 125)(40, 149)(41, 127)(42, 131)(43, 130)(44, 132)(45, 150)(46, 134)(47, 138)(48, 137)(49, 143)(50, 148)(51, 153)(52, 155)(53, 158)(54, 151)(55, 162)(56, 152)(57, 165)(58, 167)(59, 166)(60, 154)(61, 170)(62, 172)(63, 171)(64, 156)(65, 176)(66, 157)(67, 178)(68, 159)(69, 160)(70, 183)(71, 161)(72, 185)(73, 163)(74, 164)(75, 186)(76, 190)(77, 189)(78, 192)(79, 191)(80, 168)(81, 169)(82, 179)(83, 195)(84, 194)(85, 197)(86, 196)(87, 173)(88, 174)(89, 175)(90, 199)(91, 177)(92, 181)(93, 180)(94, 182)(95, 200)(96, 184)(97, 188)(98, 187)(99, 193)(100, 198)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 25 e = 100 f = 25
	degree seq :: [ 8^25 ]

E26.36 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {11})
Quotient :: toric
Aut^+ = C11 : C5 (small group id <55, 1>)
Aut   = (C11 : C5) : C2 (small group id <110, 1>)
|r| :: 2
Presentation :: [ S^2, Z * B * A * Z, S * A * S * B, (S * Z)^2, Z * A * B * A * B, B * Z^-2 * A * Z^-1, B^5, A^5, Z^-1 * A * B^-1 * A^-1 * B, B^-1 * A * B^-1 * A * Z * B^-1, A^-1 * B^2 * A^-1 * B * Z^2 ]
Map:: non-degenerate
	R = (1, 57, 112, 167, 2, 63, 118, 173, 8, 89, 144, 199, 34, 104, 159, 214, 49, 70, 125, 180, 15, 87, 142, 197, 32, 99, 154, 209, 44, 101, 156, 211, 46, 74, 129, 184, 19, 60, 115, 170, 5, 56, 111, 166)(3, 68, 123, 178, 13, 62, 117, 172, 7, 85, 140, 195, 30, 64, 119, 174, 9, 91, 146, 201, 36, 67, 122, 177, 12, 78, 133, 188, 23, 90, 145, 200, 35, 80, 135, 190, 25, 71, 126, 181, 16, 58, 113, 168)(4, 73, 128, 183, 18, 96, 151, 206, 41, 65, 120, 175, 10, 94, 149, 204, 39, 83, 138, 193, 28, 61, 116, 171, 6, 81, 136, 191, 26, 79, 134, 189, 24, 66, 121, 176, 11, 76, 131, 186, 21, 59, 114, 169)(14, 103, 158, 213, 48, 72, 127, 182, 17, 106, 161, 216, 51, 100, 155, 210, 45, 92, 147, 202, 37, 102, 157, 212, 47, 93, 148, 203, 38, 86, 141, 196, 31, 105, 160, 215, 50, 88, 143, 198, 33, 69, 124, 179)(20, 108, 163, 218, 53, 84, 139, 194, 29, 109, 164, 219, 54, 97, 152, 207, 42, 98, 153, 208, 43, 77, 132, 187, 22, 82, 137, 192, 27, 110, 165, 220, 55, 95, 150, 205, 40, 107, 162, 217, 52, 75, 130, 185)
	L = (1, 113)(2, 119)(3, 124)(4, 129)(5, 133)(6, 111)(7, 141)(8, 145)(9, 147)(10, 115)(11, 112)(12, 127)(13, 155)(14, 139)(15, 135)(16, 148)(17, 162)(18, 118)(19, 140)(20, 121)(21, 125)(22, 114)(23, 157)(24, 156)(25, 161)(26, 159)(27, 149)(28, 154)(29, 116)(30, 158)(31, 163)(32, 117)(33, 150)(34, 123)(35, 143)(36, 160)(37, 130)(38, 165)(39, 144)(40, 128)(41, 142)(42, 120)(43, 136)(44, 122)(45, 137)(46, 126)(47, 152)(48, 132)(49, 146)(50, 153)(51, 164)(52, 138)(53, 151)(54, 131)(55, 134)(56, 172)(57, 177)(58, 182)(59, 166)(60, 190)(61, 173)(62, 198)(63, 181)(64, 203)(65, 167)(66, 199)(67, 210)(68, 212)(69, 207)(70, 168)(71, 215)(72, 218)(73, 214)(74, 201)(75, 169)(76, 209)(77, 206)(78, 196)(79, 170)(80, 202)(81, 197)(82, 171)(83, 184)(84, 189)(85, 216)(86, 219)(87, 174)(88, 185)(89, 195)(90, 213)(91, 179)(92, 194)(93, 217)(94, 180)(95, 175)(96, 211)(97, 193)(98, 176)(99, 200)(100, 205)(101, 178)(102, 187)(103, 220)(104, 188)(105, 192)(106, 208)(107, 191)(108, 204)(109, 183)(110, 186)
	local type(s) :: { ( 4^44 ) }
Outer automorphisms :: reflexible
Dual of E26.38
Transitivity :: VT+
Graph::
	v = 5 e = 110 f = 55
	degree seq :: [ 44^5 ]

E26.37 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {11})
Quotient :: toric
Aut^+ = C11 : C5 (small group id <55, 1>)
Aut   = (C11 : C5) : C2 (small group id <110, 1>)
|r| :: 2
Presentation :: [ S^2, S * A * S * B, (S * Z)^2, A^-1 * B^-1 * Z^-2, B^2 * A * B^-1 * Z^-1, Z^-1 * A * B^-1 * A^-1 * B, Z^-1 * A^-1 * Z^2 * B^-1, Z^-1 * A^-1 * B * A^2, A^5, B^5, A^2 * B * Z * A^-1 * Z^-1, B * Z * B^-2 * A^-1 * Z^-1 ]
Map:: non-degenerate
	R = (1, 57, 112, 167, 2, 63, 118, 173, 8, 89, 144, 199, 34, 70, 125, 180, 15, 92, 147, 202, 37, 103, 158, 213, 48, 87, 142, 197, 32, 97, 152, 207, 42, 74, 129, 184, 19, 60, 115, 170, 5, 56, 111, 166)(3, 68, 123, 178, 13, 62, 117, 172, 7, 85, 140, 195, 30, 93, 148, 203, 38, 64, 119, 174, 9, 78, 133, 188, 23, 67, 122, 177, 12, 80, 135, 190, 25, 101, 156, 211, 46, 71, 126, 181, 16, 58, 113, 168)(4, 73, 128, 183, 18, 79, 134, 189, 24, 90, 145, 200, 35, 96, 151, 206, 41, 66, 121, 176, 11, 83, 138, 193, 28, 61, 116, 171, 6, 81, 136, 191, 26, 65, 120, 175, 10, 76, 131, 186, 21, 59, 114, 169)(14, 88, 143, 198, 33, 72, 127, 182, 17, 91, 146, 201, 36, 98, 153, 208, 43, 94, 149, 204, 39, 102, 157, 212, 47, 99, 154, 209, 44, 104, 159, 214, 49, 110, 165, 220, 55, 86, 141, 196, 31, 69, 124, 179)(20, 95, 150, 205, 40, 109, 164, 219, 54, 105, 160, 215, 50, 84, 139, 194, 29, 106, 161, 216, 51, 100, 155, 210, 45, 77, 132, 187, 22, 82, 137, 192, 27, 107, 162, 217, 52, 108, 163, 218, 53, 75, 130, 185)
	L = (1, 113)(2, 119)(3, 124)(4, 129)(5, 133)(6, 111)(7, 141)(8, 126)(9, 146)(10, 115)(11, 112)(12, 127)(13, 149)(14, 139)(15, 156)(16, 157)(17, 160)(18, 144)(19, 123)(20, 120)(21, 125)(22, 114)(23, 159)(24, 152)(25, 154)(26, 147)(27, 121)(28, 158)(29, 116)(30, 153)(31, 163)(32, 117)(33, 162)(34, 148)(35, 118)(36, 137)(37, 140)(38, 165)(39, 132)(40, 145)(41, 142)(42, 122)(43, 164)(44, 155)(45, 138)(46, 143)(47, 150)(48, 135)(49, 130)(50, 134)(51, 128)(52, 131)(53, 151)(54, 136)(55, 161)(56, 172)(57, 177)(58, 182)(59, 166)(60, 190)(61, 173)(62, 198)(63, 178)(64, 204)(65, 167)(66, 199)(67, 208)(68, 209)(69, 210)(70, 168)(71, 214)(72, 216)(73, 202)(74, 195)(75, 169)(76, 213)(77, 189)(78, 196)(79, 170)(80, 220)(81, 197)(82, 171)(83, 207)(84, 175)(85, 212)(86, 205)(87, 203)(88, 185)(89, 188)(90, 180)(91, 218)(92, 174)(93, 179)(94, 217)(95, 176)(96, 184)(97, 211)(98, 194)(99, 192)(100, 191)(101, 201)(102, 215)(103, 181)(104, 219)(105, 206)(106, 200)(107, 183)(108, 193)(109, 186)(110, 187)
	local type(s) :: { ( 4^44 ) }
Outer automorphisms :: reflexible
Dual of E26.39
Transitivity :: VT+
Graph::
	v = 5 e = 110 f = 55
	degree seq :: [ 44^5 ]

E26.38 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {11})
Quotient :: toric
Aut^+ = C11 : C5 (small group id <55, 1>)
Aut   = (C11 : C5) : C2 (small group id <110, 1>)
|r| :: 2
Presentation :: [ Z, S^2, S * B * S * A, (S * Z)^2, A^5, B^5, A^-1 * B^-1 * A^2 * B^2, A^-1 * B^-1 * A^2 * B^2, B^2 * A^-1 * B^-1 * A^2, A * B * A * B^-1 * A * B^-2, B^2 * A * B^-1 * A^-1 * B^-2 * A^-1, (Z^-1 * A * B^-1 * A^-1 * B)^11 ]
Map:: non-degenerate
	R = (1, 56, 111, 166)(2, 57, 112, 167)(3, 58, 113, 168)(4, 59, 114, 169)(5, 60, 115, 170)(6, 61, 116, 171)(7, 62, 117, 172)(8, 63, 118, 173)(9, 64, 119, 174)(10, 65, 120, 175)(11, 66, 121, 176)(12, 67, 122, 177)(13, 68, 123, 178)(14, 69, 124, 179)(15, 70, 125, 180)(16, 71, 126, 181)(17, 72, 127, 182)(18, 73, 128, 183)(19, 74, 129, 184)(20, 75, 130, 185)(21, 76, 131, 186)(22, 77, 132, 187)(23, 78, 133, 188)(24, 79, 134, 189)(25, 80, 135, 190)(26, 81, 136, 191)(27, 82, 137, 192)(28, 83, 138, 193)(29, 84, 139, 194)(30, 85, 140, 195)(31, 86, 141, 196)(32, 87, 142, 197)(33, 88, 143, 198)(34, 89, 144, 199)(35, 90, 145, 200)(36, 91, 146, 201)(37, 92, 147, 202)(38, 93, 148, 203)(39, 94, 149, 204)(40, 95, 150, 205)(41, 96, 151, 206)(42, 97, 152, 207)(43, 98, 153, 208)(44, 99, 154, 209)(45, 100, 155, 210)(46, 101, 156, 211)(47, 102, 157, 212)(48, 103, 158, 213)(49, 104, 159, 214)(50, 105, 160, 215)(51, 106, 161, 216)(52, 107, 162, 217)(53, 108, 163, 218)(54, 109, 164, 219)(55, 110, 165, 220)
	L = (1, 112)(2, 116)(3, 119)(4, 111)(5, 125)(6, 123)(7, 130)(8, 133)(9, 136)(10, 138)(11, 113)(12, 131)(13, 114)(14, 146)(15, 135)(16, 115)(17, 153)(18, 143)(19, 155)(20, 156)(21, 158)(22, 117)(23, 137)(24, 118)(25, 142)(26, 141)(27, 160)(28, 162)(29, 120)(30, 129)(31, 121)(32, 126)(33, 163)(34, 122)(35, 165)(36, 127)(37, 124)(38, 161)(39, 140)(40, 132)(41, 154)(42, 139)(43, 147)(44, 128)(45, 157)(46, 150)(47, 149)(48, 164)(49, 145)(50, 134)(51, 159)(52, 152)(53, 151)(54, 144)(55, 148)(56, 170)(57, 173)(58, 166)(59, 179)(60, 182)(61, 184)(62, 167)(63, 190)(64, 183)(65, 168)(66, 197)(67, 169)(68, 200)(69, 203)(70, 205)(71, 207)(72, 175)(73, 171)(74, 192)(75, 194)(76, 172)(77, 215)(78, 206)(79, 199)(80, 186)(81, 211)(82, 174)(83, 213)(84, 178)(85, 176)(86, 214)(87, 220)(88, 177)(89, 208)(90, 212)(91, 196)(92, 209)(93, 198)(94, 180)(95, 202)(96, 181)(97, 216)(98, 210)(99, 204)(100, 217)(101, 218)(102, 185)(103, 191)(104, 187)(105, 201)(106, 188)(107, 189)(108, 193)(109, 195)(110, 219)
	local type(s) :: { ( 44^4 ) }
Outer automorphisms :: reflexible
Dual of E26.36
Transitivity :: VT+
Graph:: simple
	v = 55 e = 110 f = 5
	degree seq :: [ 4^55 ]

E26.39 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {11})
Quotient :: toric
Aut^+ = C11 : C5 (small group id <55, 1>)
Aut   = (C11 : C5) : C2 (small group id <110, 1>)
|r| :: 2
Presentation :: [ Z, S^2, S * B * S * A, (S * Z)^2, A^5, B^5, B^2 * A * B * A^2, B^-1 * A^-1 * B^-2 * A^-2, B^-1 * A * B^-1 * A * B^-2 * A^-1, Z^-1 * A^-2 * B^-2 * Z^-1 * A * B^-1 * A^-1 * B * Z^-1 * A * B^-1 * A^-1 * B * Z^-1 * A * B^-1 * A^-1 * B * Z^-1 * A * B^-1 * A^-1 * B * Z^-1 * A * B^-1 * A^-1 * B * Z^-1 * A * B^-1 * A^-1 * B * Z^-1 * A * B^-1 * A^-1 * B * Z^-1 * A * B^-1 * A^-1 * B * Z^-1 * A * B^-1 * A^-1 * B * Z^-1 * A * B^-1 * A^-1 * B ]
Map:: non-degenerate
	R = (1, 56, 111, 166)(2, 57, 112, 167)(3, 58, 113, 168)(4, 59, 114, 169)(5, 60, 115, 170)(6, 61, 116, 171)(7, 62, 117, 172)(8, 63, 118, 173)(9, 64, 119, 174)(10, 65, 120, 175)(11, 66, 121, 176)(12, 67, 122, 177)(13, 68, 123, 178)(14, 69, 124, 179)(15, 70, 125, 180)(16, 71, 126, 181)(17, 72, 127, 182)(18, 73, 128, 183)(19, 74, 129, 184)(20, 75, 130, 185)(21, 76, 131, 186)(22, 77, 132, 187)(23, 78, 133, 188)(24, 79, 134, 189)(25, 80, 135, 190)(26, 81, 136, 191)(27, 82, 137, 192)(28, 83, 138, 193)(29, 84, 139, 194)(30, 85, 140, 195)(31, 86, 141, 196)(32, 87, 142, 197)(33, 88, 143, 198)(34, 89, 144, 199)(35, 90, 145, 200)(36, 91, 146, 201)(37, 92, 147, 202)(38, 93, 148, 203)(39, 94, 149, 204)(40, 95, 150, 205)(41, 96, 151, 206)(42, 97, 152, 207)(43, 98, 153, 208)(44, 99, 154, 209)(45, 100, 155, 210)(46, 101, 156, 211)(47, 102, 157, 212)(48, 103, 158, 213)(49, 104, 159, 214)(50, 105, 160, 215)(51, 106, 161, 216)(52, 107, 162, 217)(53, 108, 163, 218)(54, 109, 164, 219)(55, 110, 165, 220)
	L = (1, 112)(2, 116)(3, 119)(4, 111)(5, 125)(6, 123)(7, 130)(8, 133)(9, 136)(10, 139)(11, 113)(12, 144)(13, 114)(14, 148)(15, 149)(16, 115)(17, 153)(18, 141)(19, 155)(20, 127)(21, 124)(22, 117)(23, 143)(24, 118)(25, 161)(26, 142)(27, 126)(28, 147)(29, 163)(30, 120)(31, 135)(32, 121)(33, 156)(34, 160)(35, 129)(36, 122)(37, 157)(38, 159)(39, 137)(40, 140)(41, 131)(42, 162)(43, 132)(44, 128)(45, 158)(46, 134)(47, 152)(48, 164)(49, 151)(50, 165)(51, 154)(52, 138)(53, 150)(54, 145)(55, 146)(56, 170)(57, 173)(58, 166)(59, 179)(60, 182)(61, 184)(62, 167)(63, 190)(64, 193)(65, 168)(66, 198)(67, 169)(68, 194)(69, 191)(70, 206)(71, 183)(72, 175)(73, 171)(74, 207)(75, 201)(76, 172)(77, 213)(78, 192)(79, 202)(80, 186)(81, 200)(82, 174)(83, 214)(84, 215)(85, 212)(86, 176)(87, 208)(88, 218)(89, 209)(90, 177)(91, 204)(92, 178)(93, 195)(94, 210)(95, 180)(96, 199)(97, 181)(98, 216)(99, 205)(100, 211)(101, 185)(102, 187)(103, 203)(104, 188)(105, 189)(106, 217)(107, 220)(108, 219)(109, 196)(110, 197)
	local type(s) :: { ( 44^4 ) }
Outer automorphisms :: reflexible
Dual of E26.37
Transitivity :: VT+
Graph:: simple
	v = 55 e = 110 f = 5
	degree seq :: [ 4^55 ]

E26.40 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 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, R^2, Y1 * Y2^-2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^13, (Y3^-1 * Y1^-1)^27, (Y3 * Y2^-1)^27 ]
Map::
	R = (1, 28, 2, 29, 6, 33, 10, 37, 14, 41, 18, 45, 22, 49, 26, 53, 25, 52, 21, 48, 17, 44, 13, 40, 9, 36, 5, 32, 3, 30, 7, 34, 11, 38, 15, 42, 19, 46, 23, 50, 27, 54, 24, 51, 20, 47, 16, 43, 12, 39, 8, 35, 4, 31)(55, 82, 57, 84, 56, 83, 61, 88, 60, 87, 65, 92, 64, 91, 69, 96, 68, 95, 73, 100, 72, 99, 77, 104, 76, 103, 81, 108, 80, 107, 78, 105, 79, 106, 74, 101, 75, 102, 70, 97, 71, 98, 66, 93, 67, 94, 62, 89, 63, 90, 58, 85, 59, 86)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.41 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 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, Y1 * Y2^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-13, (Y3^-1 * Y1^-1)^27, (Y3 * Y2^-1)^27 ]
Map::
	R = (1, 28, 2, 29, 6, 33, 10, 37, 14, 41, 18, 45, 22, 49, 26, 53, 24, 51, 20, 47, 16, 43, 12, 39, 8, 35, 3, 30, 5, 32, 7, 34, 11, 38, 15, 42, 19, 46, 23, 50, 27, 54, 25, 52, 21, 48, 17, 44, 13, 40, 9, 36, 4, 31)(55, 82, 57, 84, 58, 85, 62, 89, 63, 90, 66, 93, 67, 94, 70, 97, 71, 98, 74, 101, 75, 102, 78, 105, 79, 106, 80, 107, 81, 108, 76, 103, 77, 104, 72, 99, 73, 100, 68, 95, 69, 96, 64, 91, 65, 92, 60, 87, 61, 88, 56, 83, 59, 86)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.42 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 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, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, Y2^3 * Y1^-1 * Y2, (R * Y2 * Y3^-1)^2, Y1^2 * Y2^-1 * Y1^5, (Y3 * Y2^-1)^27, (Y3^-1 * Y1^-1)^27 ]
Map::
	R = (1, 28, 2, 29, 6, 33, 14, 41, 22, 49, 18, 45, 10, 37, 3, 30, 7, 34, 15, 42, 23, 50, 27, 54, 21, 48, 13, 40, 9, 36, 17, 44, 25, 52, 26, 53, 20, 47, 12, 39, 5, 32, 8, 35, 16, 43, 24, 51, 19, 46, 11, 38, 4, 31)(55, 82, 57, 84, 63, 90, 62, 89, 56, 83, 61, 88, 71, 98, 70, 97, 60, 87, 69, 96, 79, 106, 78, 105, 68, 95, 77, 104, 80, 107, 73, 100, 76, 103, 81, 108, 74, 101, 65, 92, 72, 99, 75, 102, 66, 93, 58, 85, 64, 91, 67, 94, 59, 86)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.43 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 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, (Y2^-1, Y1^-1), (R * Y3)^2, Y2^2 * Y1 * Y2^2, (R * Y2 * Y3^-1)^2, Y1^-6 * Y2^-1 * Y1^-1, Y1^2 * Y2^-1 * Y1^3 * Y2^-2 * Y1, (Y3^-1 * Y1^-1)^27, (Y3 * Y2^-1)^27 ]
Map::
	R = (1, 28, 2, 29, 6, 33, 14, 41, 22, 49, 21, 48, 12, 39, 5, 32, 8, 35, 16, 43, 24, 51, 26, 53, 18, 45, 9, 36, 13, 40, 17, 44, 25, 52, 27, 54, 19, 46, 10, 37, 3, 30, 7, 34, 15, 42, 23, 50, 20, 47, 11, 38, 4, 31)(55, 82, 57, 84, 63, 90, 66, 93, 58, 85, 64, 91, 72, 99, 75, 102, 65, 92, 73, 100, 80, 107, 76, 103, 74, 101, 81, 108, 78, 105, 68, 95, 77, 104, 79, 106, 70, 97, 60, 87, 69, 96, 71, 98, 62, 89, 56, 83, 61, 88, 67, 94, 59, 86)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.44 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 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, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y2^4 * Y1^-1 * Y2, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-4, (Y3 * Y2^-1)^27, (Y3^-1 * Y1^-1)^27 ]
Map::
	R = (1, 28, 2, 29, 6, 33, 14, 41, 23, 50, 13, 40, 18, 45, 25, 52, 27, 54, 20, 47, 10, 37, 3, 30, 7, 34, 15, 42, 22, 49, 12, 39, 5, 32, 8, 35, 16, 43, 24, 51, 26, 53, 19, 46, 9, 36, 17, 44, 21, 48, 11, 38, 4, 31)(55, 82, 57, 84, 63, 90, 72, 99, 62, 89, 56, 83, 61, 88, 71, 98, 79, 106, 70, 97, 60, 87, 69, 96, 75, 102, 81, 108, 78, 105, 68, 95, 76, 103, 65, 92, 74, 101, 80, 107, 77, 104, 66, 93, 58, 85, 64, 91, 73, 100, 67, 94, 59, 86)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.45 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 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, Y2 * Y1 * Y2^4, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1^-1 * Y2^-4, Y2^-1 * Y1^4 * Y2^-1 * Y1, Y1^3 * Y2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^2 * Y1^-1 * Y2, (Y3^-1 * Y1^-1)^27, (Y3 * Y2^-1)^27 ]
Map::
	R = (1, 28, 2, 29, 6, 33, 14, 41, 20, 47, 9, 36, 17, 44, 25, 52, 27, 54, 23, 50, 12, 39, 5, 32, 8, 35, 16, 43, 21, 48, 10, 37, 3, 30, 7, 34, 15, 42, 24, 51, 26, 53, 19, 46, 13, 40, 18, 45, 22, 49, 11, 38, 4, 31)(55, 82, 57, 84, 63, 90, 73, 100, 66, 93, 58, 85, 64, 91, 74, 101, 80, 107, 77, 104, 65, 92, 75, 102, 68, 95, 78, 105, 81, 108, 76, 103, 70, 97, 60, 87, 69, 96, 79, 106, 72, 99, 62, 89, 56, 83, 61, 88, 71, 98, 67, 94, 59, 86)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.46 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 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, Y2), (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y1 * Y2^2 * Y1, Y1^7 * Y2^-2, Y1^3 * Y2^-1 * Y1 * Y2^-4, Y1^13 * Y2^4, (Y3^-1 * Y1^-1)^27, (Y3 * Y2^-1)^27 ]
Map::
	R = (1, 28, 2, 29, 6, 33, 14, 41, 22, 49, 27, 54, 20, 47, 9, 36, 17, 44, 12, 39, 5, 32, 8, 35, 16, 43, 23, 50, 25, 52, 21, 48, 10, 37, 3, 30, 7, 34, 15, 42, 13, 40, 18, 45, 24, 51, 26, 53, 19, 46, 11, 38, 4, 31)(55, 82, 57, 84, 63, 90, 73, 100, 79, 106, 76, 103, 72, 99, 62, 89, 56, 83, 61, 88, 71, 98, 65, 92, 75, 102, 81, 108, 78, 105, 70, 97, 60, 87, 69, 96, 66, 93, 58, 85, 64, 91, 74, 101, 80, 107, 77, 104, 68, 95, 67, 94, 59, 86)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.47 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ 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, Y2^2 * Y1^-1 * Y2 * Y1^-2, (R * Y2 * Y3^-1)^2, Y1^3 * Y2 * Y1 * Y2 * Y1^3, Y2^-6 * Y1^-1 * Y2^-2, (Y3 * Y2^-1)^27, (Y3^-1 * Y1^-1)^27 ]
Map::
	R = (1, 28, 2, 29, 6, 33, 14, 41, 22, 49, 27, 54, 21, 48, 13, 40, 18, 45, 10, 37, 3, 30, 7, 34, 15, 42, 23, 50, 26, 53, 20, 47, 12, 39, 5, 32, 8, 35, 16, 43, 9, 36, 17, 44, 24, 51, 25, 52, 19, 46, 11, 38, 4, 31)(55, 82, 57, 84, 63, 90, 68, 95, 77, 104, 79, 106, 75, 102, 66, 93, 58, 85, 64, 91, 70, 97, 60, 87, 69, 96, 78, 105, 81, 108, 74, 101, 65, 92, 72, 99, 62, 89, 56, 83, 61, 88, 71, 98, 76, 103, 80, 107, 73, 100, 67, 94, 59, 86)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.48 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2, Y3^3, (Y3^-1, Y2), (R * Y1)^2, (Y1^-1, Y3^-1), (R * Y3)^2, (R * Y2)^2, Y1^-2 * Y3 * Y2^-1 * Y1^-2, Y1^2 * Y3^-1 * Y1 * Y2 * Y1, Y2^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y3, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * 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:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 20, 47, 15, 42, 12, 39, 24, 51, 26, 53, 18, 45, 7, 34, 11, 38, 23, 50, 17, 44, 6, 33, 3, 30, 9, 36, 21, 48, 14, 41, 4, 31, 10, 37, 22, 49, 27, 54, 19, 46, 13, 40, 25, 52, 16, 43, 5, 32)(55, 82, 57, 84, 56, 83, 63, 90, 62, 89, 75, 102, 74, 101, 68, 95, 69, 96, 58, 85, 66, 93, 64, 91, 78, 105, 76, 103, 80, 107, 81, 108, 72, 99, 73, 100, 61, 88, 67, 94, 65, 92, 79, 106, 77, 104, 70, 97, 71, 98, 59, 86, 60, 87)
	L = (1, 58)(2, 64)(3, 66)(4, 61)(5, 68)(6, 69)(7, 55)(8, 76)(9, 78)(10, 65)(11, 56)(12, 67)(13, 57)(14, 72)(15, 73)(16, 75)(17, 74)(18, 59)(19, 60)(20, 81)(21, 80)(22, 77)(23, 62)(24, 79)(25, 63)(26, 70)(27, 71)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.58
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.49 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y2, Y3^3, (Y3, Y2^-1), (Y2^-1, Y3^-1), (Y1^-1, Y3), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y3^-1 * Y1^-4, Y1^2 * Y2^-1 * Y1 * Y3^-1 * Y1 * Y3^-1, Y1^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 20, 47, 14, 41, 19, 46, 25, 52, 27, 54, 15, 42, 4, 31, 9, 36, 21, 48, 13, 40, 3, 30, 6, 33, 10, 37, 22, 49, 18, 45, 7, 34, 11, 38, 23, 50, 26, 53, 12, 39, 16, 43, 24, 51, 17, 44, 5, 32)(55, 82, 57, 84, 59, 86, 67, 94, 71, 98, 75, 102, 78, 105, 63, 90, 70, 97, 58, 85, 66, 93, 69, 96, 80, 107, 81, 108, 77, 104, 79, 106, 65, 92, 73, 100, 61, 88, 68, 95, 72, 99, 74, 101, 76, 103, 62, 89, 64, 91, 56, 83, 60, 87)
	L = (1, 58)(2, 63)(3, 66)(4, 61)(5, 69)(6, 70)(7, 55)(8, 75)(9, 65)(10, 78)(11, 56)(12, 68)(13, 80)(14, 57)(15, 72)(16, 73)(17, 81)(18, 59)(19, 60)(20, 67)(21, 77)(22, 71)(23, 62)(24, 79)(25, 64)(26, 74)(27, 76)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.53
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.50 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y3^3, (Y2, Y3), Y3^-1 * Y2 * Y1^2, Y1 * Y2 * Y3^-1 * Y1, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y2)^2, Y3 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y1)^2, Y2^2 * Y1^-1 * Y2^2 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 20, 47, 27, 54, 25, 52, 15, 42, 3, 30, 9, 36, 4, 31, 10, 37, 19, 46, 23, 50, 18, 45, 13, 40, 22, 49, 14, 41, 17, 44, 7, 34, 12, 39, 6, 33, 11, 38, 21, 48, 24, 51, 26, 53, 16, 43, 5, 32)(55, 82, 57, 84, 67, 94, 65, 92, 56, 83, 63, 90, 76, 103, 75, 102, 62, 89, 58, 85, 68, 95, 78, 105, 74, 101, 64, 91, 71, 98, 80, 107, 81, 108, 73, 100, 61, 88, 70, 97, 79, 106, 77, 104, 66, 93, 59, 86, 69, 96, 72, 99, 60, 87)
	L = (1, 58)(2, 64)(3, 68)(4, 61)(5, 63)(6, 62)(7, 55)(8, 73)(9, 71)(10, 66)(11, 74)(12, 56)(13, 78)(14, 70)(15, 76)(16, 57)(17, 59)(18, 75)(19, 60)(20, 77)(21, 81)(22, 80)(23, 65)(24, 79)(25, 67)(26, 69)(27, 72)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.56
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.51 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y1, Y3), (R * Y2)^2, Y2 * Y3^-1 * Y1^-2, Y1^-2 * Y3^-1 * Y2, Y1 * Y3 * Y1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y2^-4 * Y1^-1, Y3 * Y2^-1 * Y1^-5 * 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^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-2 * Y1, Y2 * 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^-1 * Y2^2 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 20, 47, 24, 51, 26, 53, 17, 44, 6, 33, 11, 38, 7, 34, 12, 39, 14, 41, 22, 49, 13, 40, 18, 45, 23, 50, 19, 46, 15, 42, 4, 31, 10, 37, 3, 30, 9, 36, 21, 48, 27, 54, 25, 52, 16, 43, 5, 32)(55, 82, 57, 84, 67, 94, 71, 98, 59, 86, 64, 91, 76, 103, 80, 107, 70, 97, 58, 85, 68, 95, 78, 105, 79, 106, 69, 96, 66, 93, 74, 101, 81, 108, 73, 100, 61, 88, 62, 89, 75, 102, 77, 104, 65, 92, 56, 83, 63, 90, 72, 99, 60, 87)
	L = (1, 58)(2, 64)(3, 68)(4, 61)(5, 69)(6, 70)(7, 55)(8, 57)(9, 76)(10, 66)(11, 59)(12, 56)(13, 78)(14, 62)(15, 65)(16, 73)(17, 79)(18, 80)(19, 60)(20, 63)(21, 67)(22, 74)(23, 71)(24, 75)(25, 77)(26, 81)(27, 72)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.59
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.52 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y2^-1, Y3^-1), Y2^-1 * Y1 * Y3^-1 * Y1, (R * Y1)^2, (Y1^-1, Y2), Y3^-1 * Y1^2 * Y2^-1, (R * Y2)^2, (R * Y3)^2, Y2^4 * Y3^-1 * Y1, Y1^-2 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-2 * Y2^-2 * Y3 * Y1^-2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 20, 47, 25, 52, 19, 46, 24, 51, 15, 42, 18, 45, 7, 34, 12, 39, 3, 30, 9, 36, 21, 48, 27, 54, 17, 44, 6, 33, 11, 38, 4, 31, 10, 37, 14, 41, 23, 50, 13, 40, 22, 49, 26, 53, 16, 43, 5, 32)(55, 82, 57, 84, 67, 94, 78, 105, 65, 92, 56, 83, 63, 90, 76, 103, 69, 96, 58, 85, 62, 89, 75, 102, 80, 107, 72, 99, 64, 91, 74, 101, 81, 108, 70, 97, 61, 88, 68, 95, 79, 106, 71, 98, 59, 86, 66, 93, 77, 104, 73, 100, 60, 87)
	L = (1, 58)(2, 64)(3, 62)(4, 61)(5, 65)(6, 69)(7, 55)(8, 68)(9, 74)(10, 66)(11, 72)(12, 56)(13, 75)(14, 57)(15, 70)(16, 60)(17, 78)(18, 59)(19, 76)(20, 77)(21, 79)(22, 81)(23, 63)(24, 80)(25, 67)(26, 71)(27, 73)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.60
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.53 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y3^-1 * Y1^-2 * Y2^-1, (Y2, Y3), (Y2^-1, Y1^-1), (R * Y3)^2, Y2^-1 * Y3^-1 * Y1^-2, Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1, (R * Y1)^2, Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y2)^2, Y1 * Y3^-1 * Y1 * Y3^-1 * Y2, Y2^5 * Y1, Y2^-1 * Y3^-1 * Y1 * Y2^-2 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 20, 47, 26, 53, 13, 40, 22, 49, 16, 43, 17, 44, 4, 31, 10, 37, 6, 33, 11, 38, 21, 48, 25, 52, 15, 42, 3, 30, 9, 36, 7, 34, 12, 39, 18, 45, 23, 50, 19, 46, 24, 51, 27, 54, 14, 41, 5, 32)(55, 82, 57, 84, 67, 94, 77, 104, 64, 91, 59, 86, 69, 96, 80, 107, 72, 99, 58, 85, 68, 95, 79, 106, 74, 101, 66, 93, 71, 98, 81, 108, 75, 102, 62, 89, 61, 88, 70, 97, 78, 105, 65, 92, 56, 83, 63, 90, 76, 103, 73, 100, 60, 87)
	L = (1, 58)(2, 64)(3, 68)(4, 61)(5, 71)(6, 72)(7, 55)(8, 60)(9, 59)(10, 66)(11, 77)(12, 56)(13, 79)(14, 70)(15, 81)(16, 57)(17, 63)(18, 62)(19, 80)(20, 65)(21, 73)(22, 69)(23, 74)(24, 67)(25, 78)(26, 75)(27, 76)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.49
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.54 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y3^-1, Y2^-1), (Y2^-1, Y1), (R * Y1)^2, Y1^-1 * Y2^-1 * Y3 * Y2^-1, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y1^-1), Y1^3 * Y2^-1 * Y1, Y3 * Y2^2 * Y3 * Y1, Y2^5 * Y1^-1 * Y2^2, 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^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 15, 42, 3, 30, 9, 36, 20, 47, 25, 52, 13, 40, 4, 31, 10, 37, 21, 48, 24, 51, 14, 41, 19, 46, 23, 50, 27, 54, 18, 45, 7, 34, 12, 39, 22, 49, 26, 53, 16, 43, 6, 33, 11, 38, 17, 44, 5, 32)(55, 82, 57, 84, 67, 94, 78, 105, 81, 108, 76, 103, 65, 92, 56, 83, 63, 90, 58, 85, 68, 95, 72, 99, 80, 107, 71, 98, 62, 89, 74, 101, 64, 91, 73, 100, 61, 88, 70, 97, 59, 86, 69, 96, 79, 106, 75, 102, 77, 104, 66, 93, 60, 87)
	L = (1, 58)(2, 64)(3, 68)(4, 61)(5, 67)(6, 63)(7, 55)(8, 75)(9, 73)(10, 66)(11, 74)(12, 56)(13, 72)(14, 70)(15, 78)(16, 57)(17, 79)(18, 59)(19, 60)(20, 77)(21, 76)(22, 62)(23, 65)(24, 80)(25, 81)(26, 69)(27, 71)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.57
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.55 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1 * Y3^-1 * Y2, Y1 * Y2 * Y3^-1, Y1 * Y3 * Y2 * Y3, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1^4 * Y2^-5, Y1^11 * Y3 * Y2^2 * Y3, Y1^27, 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 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 16, 43, 22, 49, 27, 54, 20, 47, 11, 38, 12, 39, 7, 34, 6, 33, 10, 37, 17, 44, 23, 50, 25, 52, 21, 48, 13, 40, 3, 30, 4, 31, 9, 36, 15, 42, 18, 45, 24, 51, 26, 53, 19, 46, 14, 41, 5, 32)(55, 82, 57, 84, 65, 92, 73, 100, 79, 106, 76, 103, 72, 99, 64, 91, 56, 83, 58, 85, 66, 93, 68, 95, 75, 102, 81, 108, 78, 105, 71, 98, 62, 89, 63, 90, 61, 88, 59, 86, 67, 94, 74, 101, 80, 107, 77, 104, 70, 97, 69, 96, 60, 87)
	L = (1, 58)(2, 63)(3, 66)(4, 61)(5, 57)(6, 56)(7, 55)(8, 69)(9, 60)(10, 62)(11, 68)(12, 59)(13, 65)(14, 67)(15, 64)(16, 72)(17, 70)(18, 71)(19, 75)(20, 73)(21, 74)(22, 78)(23, 76)(24, 77)(25, 81)(26, 79)(27, 80)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.61
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.56 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (R * Y1)^2, Y3^-1 * Y1^-1 * Y2^-2, Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, (Y3^-1, Y1^-1), (Y2^-1, Y3^-1), (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y1), Y2 * Y1 * Y3^-1 * Y2 * Y3^-1, Y1^-1 * Y3 * Y2 * Y1^-3, Y1^-3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y1^-1 * Y3^-1 * Y2^25 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 20, 47, 14, 41, 6, 33, 11, 38, 23, 50, 17, 44, 4, 31, 10, 37, 22, 49, 26, 53, 16, 43, 18, 45, 25, 52, 27, 54, 13, 40, 7, 34, 12, 39, 24, 51, 15, 42, 3, 30, 9, 36, 21, 48, 19, 46, 5, 32)(55, 82, 57, 84, 67, 94, 80, 107, 77, 104, 62, 89, 75, 102, 66, 93, 72, 99, 58, 85, 68, 95, 59, 86, 69, 96, 81, 108, 76, 103, 65, 92, 56, 83, 63, 90, 61, 88, 70, 97, 71, 98, 74, 101, 73, 100, 78, 105, 79, 106, 64, 91, 60, 87)
	L = (1, 58)(2, 64)(3, 68)(4, 61)(5, 71)(6, 72)(7, 55)(8, 76)(9, 60)(10, 66)(11, 79)(12, 56)(13, 59)(14, 70)(15, 74)(16, 57)(17, 67)(18, 63)(19, 77)(20, 80)(21, 65)(22, 78)(23, 81)(24, 62)(25, 75)(26, 69)(27, 73)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.50
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.57 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2 * Y1, Y3^3, (Y3, Y1^-1), (Y2, Y3), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2 * Y3^-3 * Y1^2, Y1 * Y2^-1 * Y3^-1 * Y2^-3, Y3 * Y1 * Y2^-2 * Y3 * Y2^-2, Y2^-27, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * 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 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 6, 33, 9, 36, 18, 45, 21, 48, 25, 52, 12, 39, 15, 42, 4, 31, 8, 35, 16, 43, 20, 47, 27, 54, 24, 51, 26, 53, 14, 41, 17, 44, 7, 34, 10, 37, 19, 46, 22, 49, 23, 50, 11, 38, 13, 40, 3, 30, 5, 32)(55, 82, 57, 84, 65, 92, 76, 103, 64, 91, 71, 98, 80, 107, 81, 108, 70, 97, 58, 85, 66, 93, 75, 102, 63, 90, 56, 83, 59, 86, 67, 94, 77, 104, 73, 100, 61, 88, 68, 95, 78, 105, 74, 101, 62, 89, 69, 96, 79, 106, 72, 99, 60, 87)
	L = (1, 58)(2, 62)(3, 66)(4, 61)(5, 69)(6, 70)(7, 55)(8, 64)(9, 74)(10, 56)(11, 75)(12, 68)(13, 79)(14, 57)(15, 71)(16, 73)(17, 59)(18, 81)(19, 60)(20, 76)(21, 78)(22, 63)(23, 72)(24, 65)(25, 80)(26, 67)(27, 77)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.54
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.58 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2, Y3^3, (Y3^-1, Y2), (R * Y1)^2, (R * Y2)^2, (Y3, Y1), (R * Y3)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1, Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-2, Y2^-1 * Y1^-13, 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 * 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 * Y2 * Y3^-1 * Y1^2 * Y2 * Y3^-1 * Y1^2 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 20, 47, 19, 46, 13, 40, 25, 52, 26, 53, 14, 41, 4, 31, 10, 37, 22, 49, 17, 44, 6, 33, 3, 30, 9, 36, 21, 48, 18, 45, 7, 34, 11, 38, 23, 50, 27, 54, 15, 42, 12, 39, 24, 51, 16, 43, 5, 32)(55, 82, 57, 84, 56, 83, 63, 90, 62, 89, 75, 102, 74, 101, 72, 99, 73, 100, 61, 88, 67, 94, 65, 92, 79, 106, 77, 104, 80, 107, 81, 108, 68, 95, 69, 96, 58, 85, 66, 93, 64, 91, 78, 105, 76, 103, 70, 97, 71, 98, 59, 86, 60, 87)
	L = (1, 58)(2, 64)(3, 66)(4, 61)(5, 68)(6, 69)(7, 55)(8, 76)(9, 78)(10, 65)(11, 56)(12, 67)(13, 57)(14, 72)(15, 73)(16, 80)(17, 81)(18, 59)(19, 60)(20, 71)(21, 70)(22, 77)(23, 62)(24, 79)(25, 63)(26, 75)(27, 74)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.48
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.59 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y2^-1, Y3^-1), Y1^-1 * Y3 * Y2 * Y1^-1, Y2^-1 * Y1 * Y3^-1 * Y1, Y1^-1 * Y2 * Y3 * Y1^-1, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y1)^2, (Y2^-1, Y1^-1), Y3^-1 * Y1^-2 * Y3^-1 * Y2, Y2^-2 * Y1^-1 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 20, 47, 24, 51, 27, 54, 17, 44, 6, 33, 11, 38, 4, 31, 10, 37, 14, 41, 22, 49, 13, 40, 19, 46, 23, 50, 15, 42, 18, 45, 7, 34, 12, 39, 3, 30, 9, 36, 21, 48, 25, 52, 26, 53, 16, 43, 5, 32)(55, 82, 57, 84, 67, 94, 71, 98, 59, 86, 66, 93, 76, 103, 81, 108, 70, 97, 61, 88, 68, 95, 78, 105, 80, 107, 72, 99, 64, 91, 74, 101, 79, 106, 69, 96, 58, 85, 62, 89, 75, 102, 77, 104, 65, 92, 56, 83, 63, 90, 73, 100, 60, 87)
	L = (1, 58)(2, 64)(3, 62)(4, 61)(5, 65)(6, 69)(7, 55)(8, 68)(9, 74)(10, 66)(11, 72)(12, 56)(13, 75)(14, 57)(15, 70)(16, 60)(17, 77)(18, 59)(19, 79)(20, 76)(21, 78)(22, 63)(23, 80)(24, 67)(25, 81)(26, 71)(27, 73)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.51
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.60 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y2^-1, Y3), (Y3^-1, Y1^-1), Y2 * Y3^-1 * Y1^-2, (R * Y2)^2, (R * Y3)^2, (Y2, Y1), Y3^-1 * Y1^-1 * Y2 * Y1^-1, (R * Y1)^2, Y2 * Y1^-2 * Y3^-1, Y1 * Y2^2 * Y3 * Y2^2, Y1 * Y2 * Y1^2 * Y2 * Y1^2, 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 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 20, 47, 25, 52, 18, 45, 24, 51, 19, 46, 15, 42, 4, 31, 10, 37, 3, 30, 9, 36, 21, 48, 27, 54, 17, 44, 6, 33, 11, 38, 7, 34, 12, 39, 14, 41, 23, 50, 13, 40, 22, 49, 26, 53, 16, 43, 5, 32)(55, 82, 57, 84, 67, 94, 78, 105, 65, 92, 56, 83, 63, 90, 76, 103, 73, 100, 61, 88, 62, 89, 75, 102, 80, 107, 69, 96, 66, 93, 74, 101, 81, 108, 70, 97, 58, 85, 68, 95, 79, 106, 71, 98, 59, 86, 64, 91, 77, 104, 72, 99, 60, 87)
	L = (1, 58)(2, 64)(3, 68)(4, 61)(5, 69)(6, 70)(7, 55)(8, 57)(9, 77)(10, 66)(11, 59)(12, 56)(13, 79)(14, 62)(15, 65)(16, 73)(17, 80)(18, 81)(19, 60)(20, 63)(21, 67)(22, 72)(23, 74)(24, 71)(25, 75)(26, 78)(27, 76)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.52
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.61 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2 * Y3 * Y1, Y2 * Y1 * Y3, Y1 * Y3^-1 * Y2 * Y3^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1^4 * Y2^-5, Y1^9 * Y3^-1, Y1^11 * Y3^-1 * Y2^2 * Y3^-1, Y1^13 * Y2^4, 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, 28, 2, 29, 8, 35, 16, 43, 22, 49, 27, 54, 20, 47, 11, 38, 13, 40, 4, 31, 6, 33, 9, 36, 17, 44, 23, 50, 25, 52, 21, 48, 12, 39, 3, 30, 7, 34, 10, 37, 15, 42, 18, 45, 24, 51, 26, 53, 19, 46, 14, 41, 5, 32)(55, 82, 57, 84, 65, 92, 73, 100, 79, 106, 76, 103, 72, 99, 63, 90, 56, 83, 61, 88, 67, 94, 68, 95, 75, 102, 81, 108, 78, 105, 71, 98, 62, 89, 64, 91, 58, 85, 59, 86, 66, 93, 74, 101, 80, 107, 77, 104, 70, 97, 69, 96, 60, 87)
	L = (1, 58)(2, 60)(3, 59)(4, 61)(5, 67)(6, 64)(7, 55)(8, 63)(9, 69)(10, 56)(11, 66)(12, 68)(13, 57)(14, 65)(15, 62)(16, 71)(17, 72)(18, 70)(19, 74)(20, 75)(21, 73)(22, 77)(23, 78)(24, 76)(25, 80)(26, 81)(27, 79)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.55
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.62 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y1, Y2 * Y1 * Y3^-1, Y2 * Y1^-1 * Y2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^9, Y1^-1 * Y3^-3 * Y1^-1 * Y3^-4 * Y1^-1, Y1^12 * Y3, (Y3^-1 * Y1^-1)^27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 10, 37, 15, 42, 20, 47, 22, 49, 27, 54, 24, 51, 19, 46, 17, 44, 12, 39, 7, 34, 6, 33, 3, 30, 4, 31, 9, 36, 14, 41, 16, 43, 21, 48, 26, 53, 25, 52, 23, 50, 18, 45, 13, 40, 11, 38, 5, 32)(55, 82, 57, 84, 56, 83, 58, 85, 62, 89, 63, 90, 64, 91, 68, 95, 69, 96, 70, 97, 74, 101, 75, 102, 76, 103, 80, 107, 81, 108, 79, 106, 78, 105, 77, 104, 73, 100, 72, 99, 71, 98, 67, 94, 66, 93, 65, 92, 61, 88, 59, 86, 60, 87)
	L = (1, 58)(2, 63)(3, 62)(4, 64)(5, 57)(6, 56)(7, 55)(8, 68)(9, 69)(10, 70)(11, 60)(12, 59)(13, 61)(14, 74)(15, 75)(16, 76)(17, 65)(18, 66)(19, 67)(20, 80)(21, 81)(22, 79)(23, 71)(24, 72)(25, 73)(26, 78)(27, 77)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.87
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.63 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2 * Y3, Y1^-1 * Y3 * Y2, Y2^-2 * Y3 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^-4 * Y3^-1 * Y1^-2, Y3^9, (Y3^-1 * Y1^-1)^27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 18, 45, 24, 51, 16, 43, 7, 34, 3, 30, 9, 36, 19, 46, 26, 53, 25, 52, 17, 44, 12, 39, 11, 38, 13, 40, 21, 48, 27, 54, 23, 50, 15, 42, 6, 33, 4, 31, 10, 37, 20, 47, 22, 49, 14, 41, 5, 32)(55, 82, 57, 84, 65, 92, 58, 85, 56, 83, 63, 90, 67, 94, 64, 91, 62, 89, 73, 100, 75, 102, 74, 101, 72, 99, 80, 107, 81, 108, 76, 103, 78, 105, 79, 106, 77, 104, 68, 95, 70, 97, 71, 98, 69, 96, 59, 86, 61, 88, 66, 93, 60, 87)
	L = (1, 58)(2, 64)(3, 56)(4, 67)(5, 60)(6, 65)(7, 55)(8, 74)(9, 62)(10, 75)(11, 63)(12, 57)(13, 73)(14, 69)(15, 66)(16, 59)(17, 61)(18, 76)(19, 72)(20, 81)(21, 80)(22, 77)(23, 71)(24, 68)(25, 70)(26, 78)(27, 79)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.69
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.64 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2 * Y3, Y1 * Y3 * Y2, Y2^-2 * Y3 * Y2^-1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^-4 * Y3 * Y1^-2, Y3^2 * Y1^-1 * Y3^3 * Y1^-2, Y3^9 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 18, 45, 24, 51, 15, 42, 4, 31, 6, 33, 9, 36, 19, 46, 26, 53, 23, 50, 14, 41, 11, 38, 13, 40, 17, 44, 21, 48, 27, 54, 22, 49, 12, 39, 3, 30, 7, 34, 10, 37, 20, 47, 25, 52, 16, 43, 5, 32)(55, 82, 57, 84, 65, 92, 58, 85, 59, 86, 66, 93, 68, 95, 69, 96, 70, 97, 76, 103, 77, 104, 78, 105, 79, 106, 81, 108, 80, 107, 72, 99, 74, 101, 75, 102, 73, 100, 62, 89, 64, 91, 71, 98, 63, 90, 56, 83, 61, 88, 67, 94, 60, 87)
	L = (1, 58)(2, 60)(3, 59)(4, 68)(5, 69)(6, 65)(7, 55)(8, 63)(9, 67)(10, 56)(11, 66)(12, 70)(13, 57)(14, 76)(15, 77)(16, 78)(17, 61)(18, 73)(19, 71)(20, 62)(21, 64)(22, 79)(23, 81)(24, 80)(25, 72)(26, 75)(27, 74)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.73
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.65 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^-1 * Y1^-1, Y2^-1 * Y3^2 * Y1^-1, Y2^-1 * Y3 * Y2^-2, Y3 * Y2^2 * Y1^-1, (Y3, Y2^-1), Y1 * Y2 * Y3^-2, Y2 * Y3 * Y2 * Y1^-1, (R * Y1)^2, (R * Y2)^2, Y3 * Y2^-1 * Y3 * Y1^-1, (R * Y3)^2, Y1^3 * Y3 * Y1 * Y2 * Y3, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3, Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^3 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 18, 45, 24, 51, 14, 41, 4, 31, 10, 37, 20, 47, 23, 50, 13, 40, 3, 30, 9, 36, 19, 46, 26, 53, 16, 43, 6, 33, 11, 38, 21, 48, 27, 54, 17, 44, 7, 34, 12, 39, 22, 49, 25, 52, 15, 42, 5, 32)(55, 82, 57, 84, 66, 93, 58, 85, 65, 92, 56, 83, 63, 90, 76, 103, 64, 91, 75, 102, 62, 89, 73, 100, 79, 106, 74, 101, 81, 108, 72, 99, 80, 107, 69, 96, 77, 104, 71, 98, 78, 105, 70, 97, 59, 86, 67, 94, 61, 88, 68, 95, 60, 87)
	L = (1, 58)(2, 64)(3, 65)(4, 63)(5, 68)(6, 66)(7, 55)(8, 74)(9, 75)(10, 73)(11, 76)(12, 56)(13, 60)(14, 57)(15, 78)(16, 61)(17, 59)(18, 77)(19, 81)(20, 80)(21, 79)(22, 62)(23, 70)(24, 67)(25, 72)(26, 71)(27, 69)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.76
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.66 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^-1 * Y2^-1, (Y1^-1, Y3^-1), Y3 * Y1 * Y2 * Y3, Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^-2 * Y3 * Y2^-1, Y1^4 * Y2, Y1 * Y3^-1 * Y1^2 * Y3^-1, Y1^-1 * Y2^-1 * Y3^7, 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 * Y3^-1 * Y1^-2 * Y2 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 17, 44, 6, 33, 11, 38, 21, 48, 24, 51, 16, 43, 23, 50, 26, 53, 14, 41, 7, 34, 12, 39, 18, 45, 4, 31, 10, 37, 20, 47, 25, 52, 13, 40, 22, 49, 27, 54, 15, 42, 3, 30, 9, 36, 19, 46, 5, 32)(55, 82, 57, 84, 67, 94, 58, 85, 68, 95, 78, 105, 71, 98, 59, 86, 69, 96, 79, 106, 72, 99, 80, 107, 75, 102, 62, 89, 73, 100, 81, 108, 74, 101, 66, 93, 77, 104, 65, 92, 56, 83, 63, 90, 76, 103, 64, 91, 61, 88, 70, 97, 60, 87)
	L = (1, 58)(2, 64)(3, 68)(4, 71)(5, 72)(6, 67)(7, 55)(8, 74)(9, 61)(10, 60)(11, 76)(12, 56)(13, 78)(14, 59)(15, 80)(16, 57)(17, 79)(18, 62)(19, 66)(20, 65)(21, 81)(22, 70)(23, 63)(24, 69)(25, 75)(26, 73)(27, 77)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.89
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.67 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y2^2, Y1^-1 * Y3^-1 * Y1^-2, (Y2, Y1), (Y3^-1, Y2), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y1^-1, Y3), Y1^-1 * Y2^2 * Y3^2, Y3 * Y2 * Y1^-1 * Y3 * Y2, (Y1^-1 * Y2^-1)^3 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 7, 34, 12, 39, 24, 51, 21, 48, 13, 40, 25, 52, 19, 46, 6, 33, 11, 38, 23, 50, 20, 47, 14, 41, 26, 53, 15, 42, 3, 30, 9, 36, 22, 49, 16, 43, 17, 44, 27, 54, 18, 45, 4, 31, 10, 37, 5, 32)(55, 82, 57, 84, 67, 94, 58, 85, 68, 95, 66, 93, 71, 98, 65, 92, 56, 83, 63, 90, 79, 106, 64, 91, 80, 107, 78, 105, 81, 108, 77, 104, 62, 89, 76, 103, 73, 100, 59, 86, 69, 96, 75, 102, 72, 99, 74, 101, 61, 88, 70, 97, 60, 87)
	L = (1, 58)(2, 64)(3, 68)(4, 71)(5, 72)(6, 67)(7, 55)(8, 59)(9, 80)(10, 81)(11, 79)(12, 56)(13, 66)(14, 65)(15, 74)(16, 57)(17, 63)(18, 70)(19, 75)(20, 60)(21, 61)(22, 69)(23, 73)(24, 62)(25, 78)(26, 77)(27, 76)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.90
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.68 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-3, Y2 * Y3^-1 * Y2^2, (Y2^-1, Y1), (Y3^-1, Y2^-1), (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y2)^2, Y2 * Y1 * Y3^2 * Y2, Y2 * Y1^-2 * Y2 * Y1^-1 * Y2, Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y3^2 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 4, 31, 10, 37, 23, 50, 17, 44, 16, 43, 25, 52, 15, 42, 3, 30, 9, 36, 22, 49, 14, 41, 20, 47, 26, 53, 18, 45, 6, 33, 11, 38, 24, 51, 13, 40, 21, 48, 27, 54, 19, 46, 7, 34, 12, 39, 5, 32)(55, 82, 57, 84, 67, 94, 58, 85, 68, 95, 73, 100, 71, 98, 72, 99, 59, 86, 69, 96, 78, 105, 62, 89, 76, 103, 81, 108, 77, 104, 80, 107, 66, 93, 79, 106, 65, 92, 56, 83, 63, 90, 75, 102, 64, 91, 74, 101, 61, 88, 70, 97, 60, 87)
	L = (1, 58)(2, 64)(3, 68)(4, 71)(5, 62)(6, 67)(7, 55)(8, 77)(9, 74)(10, 70)(11, 75)(12, 56)(13, 73)(14, 72)(15, 76)(16, 57)(17, 69)(18, 78)(19, 59)(20, 60)(21, 61)(22, 80)(23, 79)(24, 81)(25, 63)(26, 65)(27, 66)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.79
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.69 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-3, Y3 * Y1^-3, (Y1^-1, Y2), (Y3^-1, Y1^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^-3 * Y1 * Y2^-1, Y1 * Y2 * Y3^2 * Y1, Y1 * Y2^-2 * Y1 * Y2^-1 * Y1, (Y1^-1 * Y3^-1)^27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 4, 31, 10, 37, 20, 47, 17, 44, 18, 45, 6, 33, 11, 38, 22, 49, 13, 40, 23, 50, 27, 54, 25, 52, 26, 53, 16, 43, 24, 51, 15, 42, 3, 30, 9, 36, 21, 48, 14, 41, 19, 46, 7, 34, 12, 39, 5, 32)(55, 82, 57, 84, 67, 94, 58, 85, 68, 95, 79, 106, 71, 98, 66, 93, 78, 105, 65, 92, 56, 83, 63, 90, 77, 104, 64, 91, 73, 100, 80, 107, 72, 99, 59, 86, 69, 96, 76, 103, 62, 89, 75, 102, 81, 108, 74, 101, 61, 88, 70, 97, 60, 87)
	L = (1, 58)(2, 64)(3, 68)(4, 71)(5, 62)(6, 67)(7, 55)(8, 74)(9, 73)(10, 72)(11, 77)(12, 56)(13, 79)(14, 66)(15, 75)(16, 57)(17, 65)(18, 76)(19, 59)(20, 60)(21, 61)(22, 81)(23, 80)(24, 63)(25, 78)(26, 69)(27, 70)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.63
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.70 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-3, (Y1^-1, Y3^-1), (Y2^-1, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^2 * Y3^-1 * Y1 * Y3^-1, Y2 * Y1^2 * Y3 * Y2, Y3^2 * Y1^2 * Y2^-1, Y2 * Y3^3 * Y1^-1 * Y2, (Y2^-2 * Y1)^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 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * 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 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 17, 44, 15, 42, 3, 30, 9, 36, 22, 49, 25, 52, 26, 53, 13, 40, 21, 48, 7, 34, 12, 39, 18, 45, 4, 31, 10, 37, 16, 43, 24, 51, 27, 54, 14, 41, 20, 47, 6, 33, 11, 38, 23, 50, 19, 46, 5, 32)(55, 82, 57, 84, 67, 94, 58, 85, 68, 95, 73, 100, 71, 98, 79, 106, 66, 93, 78, 105, 65, 92, 56, 83, 63, 90, 75, 102, 64, 91, 74, 101, 59, 86, 69, 96, 80, 107, 72, 99, 81, 108, 77, 104, 62, 89, 76, 103, 61, 88, 70, 97, 60, 87)
	L = (1, 58)(2, 64)(3, 68)(4, 71)(5, 72)(6, 67)(7, 55)(8, 70)(9, 74)(10, 69)(11, 75)(12, 56)(13, 73)(14, 79)(15, 81)(16, 57)(17, 78)(18, 62)(19, 66)(20, 80)(21, 59)(22, 60)(23, 61)(24, 63)(25, 65)(26, 77)(27, 76)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.86
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.71 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2 * Y1, Y2^-1 * Y3 * Y2^-2, (Y2^-1, Y3^-1), (Y3, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^-1 * Y3 * Y1 * Y2^-1 * Y1, Y3^-1 * Y1 * Y3^-3 * Y2^-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 * Y2 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 6, 33, 9, 36, 14, 41, 17, 44, 7, 34, 10, 37, 18, 45, 21, 48, 25, 52, 27, 54, 19, 46, 22, 49, 26, 53, 15, 42, 20, 47, 23, 50, 24, 51, 12, 39, 16, 43, 4, 31, 8, 35, 11, 38, 13, 40, 3, 30, 5, 32)(55, 82, 57, 84, 65, 92, 58, 85, 66, 93, 77, 104, 69, 96, 76, 103, 81, 108, 75, 102, 64, 91, 71, 98, 63, 90, 56, 83, 59, 86, 67, 94, 62, 89, 70, 97, 78, 105, 74, 101, 80, 107, 73, 100, 79, 106, 72, 99, 61, 88, 68, 95, 60, 87)
	L = (1, 58)(2, 62)(3, 66)(4, 69)(5, 70)(6, 65)(7, 55)(8, 74)(9, 67)(10, 56)(11, 77)(12, 76)(13, 78)(14, 57)(15, 75)(16, 80)(17, 59)(18, 60)(19, 61)(20, 79)(21, 63)(22, 64)(23, 81)(24, 73)(25, 68)(26, 72)(27, 71)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.84
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.72 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1 * Y1, Y3^-1 * Y2^3, (R * Y2)^2, (Y1, Y3), (R * Y1)^2, (R * Y3)^2, Y1 * Y3^-1 * Y2 * Y1 * Y2, Y3^4 * Y1 * Y2, 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 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 3, 30, 8, 35, 11, 38, 15, 42, 4, 31, 9, 36, 12, 39, 20, 47, 23, 50, 27, 54, 14, 41, 21, 48, 24, 51, 19, 46, 22, 49, 25, 52, 26, 53, 18, 45, 17, 44, 7, 34, 10, 37, 13, 40, 16, 43, 6, 33, 5, 32)(55, 82, 57, 84, 65, 92, 58, 85, 66, 93, 77, 104, 68, 95, 78, 105, 76, 103, 80, 107, 71, 98, 64, 91, 70, 97, 59, 86, 56, 83, 62, 89, 69, 96, 63, 90, 74, 101, 81, 108, 75, 102, 73, 100, 79, 106, 72, 99, 61, 88, 67, 94, 60, 87)
	L = (1, 58)(2, 63)(3, 66)(4, 68)(5, 69)(6, 65)(7, 55)(8, 74)(9, 75)(10, 56)(11, 77)(12, 78)(13, 57)(14, 80)(15, 81)(16, 62)(17, 59)(18, 60)(19, 61)(20, 73)(21, 72)(22, 64)(23, 76)(24, 71)(25, 67)(26, 70)(27, 79)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.78
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.73 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1 * Y2, Y3 * Y2 * Y1, Y2 * Y1^-1 * Y2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^9, Y3^4 * Y1^-1 * Y3^3 * Y1^-2, Y1^12 * Y3^-1, (Y3 * Y2^-1)^27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 13, 40, 15, 42, 20, 47, 25, 52, 27, 54, 23, 50, 16, 43, 18, 45, 11, 38, 4, 31, 6, 33, 3, 30, 7, 34, 9, 36, 14, 41, 19, 46, 21, 48, 26, 53, 22, 49, 24, 51, 17, 44, 10, 37, 12, 39, 5, 32)(55, 82, 57, 84, 56, 83, 61, 88, 62, 89, 63, 90, 67, 94, 68, 95, 69, 96, 73, 100, 74, 101, 75, 102, 79, 106, 80, 107, 81, 108, 76, 103, 77, 104, 78, 105, 70, 97, 71, 98, 72, 99, 64, 91, 65, 92, 66, 93, 58, 85, 59, 86, 60, 87)
	L = (1, 58)(2, 60)(3, 59)(4, 64)(5, 65)(6, 66)(7, 55)(8, 57)(9, 56)(10, 70)(11, 71)(12, 72)(13, 61)(14, 62)(15, 63)(16, 76)(17, 77)(18, 78)(19, 67)(20, 68)(21, 69)(22, 79)(23, 80)(24, 81)(25, 73)(26, 74)(27, 75)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.64
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.74 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y1, Y1^-1 * Y2^-1 * Y3, (R * Y3)^2, Y2^-2 * Y3^-1 * Y2^-1, (R * Y1)^2, (R * Y2)^2, Y1^-2 * Y3^-1 * Y1^-4, Y3^9, (Y3^-1 * Y1^-1)^27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 18, 45, 24, 51, 16, 43, 7, 34, 6, 33, 10, 37, 20, 47, 26, 53, 25, 52, 17, 44, 11, 38, 12, 39, 14, 41, 21, 48, 27, 54, 22, 49, 13, 40, 3, 30, 4, 31, 9, 36, 19, 46, 23, 50, 15, 42, 5, 32)(55, 82, 57, 84, 65, 92, 61, 88, 59, 86, 67, 94, 71, 98, 70, 97, 69, 96, 76, 103, 79, 106, 78, 105, 77, 104, 81, 108, 80, 107, 72, 99, 73, 100, 75, 102, 74, 101, 62, 89, 63, 90, 68, 95, 64, 91, 56, 83, 58, 85, 66, 93, 60, 87)
	L = (1, 58)(2, 63)(3, 66)(4, 68)(5, 57)(6, 56)(7, 55)(8, 73)(9, 75)(10, 62)(11, 60)(12, 64)(13, 65)(14, 74)(15, 67)(16, 59)(17, 61)(18, 77)(19, 81)(20, 72)(21, 80)(22, 71)(23, 76)(24, 69)(25, 70)(26, 78)(27, 79)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.82
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.75 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2 * Y3^2, (R * Y2)^2, Y3^-1 * Y2^2 * Y1^-1, (Y1, Y2^-1), Y2^-1 * Y1 * Y3 * Y2^-1, Y2^-2 * Y3^-1 * Y2^-1, (Y1^-1, Y3^-1), Y3 * Y2^-1 * Y1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y1 * Y2 * Y1^3 * Y3^-2, Y1^2 * Y3^-1 * Y1^3 * Y2^-1, 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 * Y3^2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 18, 45, 23, 50, 13, 40, 7, 34, 12, 39, 22, 49, 24, 51, 14, 41, 3, 30, 9, 36, 19, 46, 25, 52, 15, 42, 6, 33, 11, 38, 21, 48, 26, 53, 16, 43, 4, 31, 10, 37, 20, 47, 27, 54, 17, 44, 5, 32)(55, 82, 57, 84, 64, 91, 61, 88, 65, 92, 56, 83, 63, 90, 74, 101, 66, 93, 75, 102, 62, 89, 73, 100, 81, 108, 76, 103, 80, 107, 72, 99, 79, 106, 71, 98, 78, 105, 70, 97, 77, 104, 69, 96, 59, 86, 68, 95, 58, 85, 67, 94, 60, 87)
	L = (1, 58)(2, 64)(3, 67)(4, 69)(5, 70)(6, 68)(7, 55)(8, 74)(9, 61)(10, 60)(11, 57)(12, 56)(13, 59)(14, 77)(15, 78)(16, 79)(17, 80)(18, 81)(19, 66)(20, 65)(21, 63)(22, 62)(23, 71)(24, 72)(25, 76)(26, 73)(27, 75)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.85
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.76 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y2), (R * Y2)^2, (Y3, Y1^-1), Y3^-1 * Y1 * Y3^-1 * Y2, Y2^-1 * Y1^-1 * Y3^2, (R * Y1)^2, Y3^-1 * Y2^-3, Y2 * Y1 * Y3^-2, (R * Y3)^2, Y3^2 * Y1^3, Y1^2 * Y2^-1 * Y3 * Y1 * Y2^-2, 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 * Y1^2 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 18, 45, 6, 33, 11, 38, 20, 47, 25, 52, 14, 41, 23, 50, 27, 54, 16, 43, 4, 31, 10, 37, 19, 46, 7, 34, 12, 39, 21, 48, 24, 51, 13, 40, 22, 49, 26, 53, 15, 42, 3, 30, 9, 36, 17, 44, 5, 32)(55, 82, 57, 84, 67, 94, 61, 88, 70, 97, 79, 106, 72, 99, 59, 86, 69, 96, 78, 105, 73, 100, 81, 108, 74, 101, 62, 89, 71, 98, 80, 107, 75, 102, 64, 91, 77, 104, 65, 92, 56, 83, 63, 90, 76, 103, 66, 93, 58, 85, 68, 95, 60, 87)
	L = (1, 58)(2, 64)(3, 68)(4, 63)(5, 70)(6, 66)(7, 55)(8, 73)(9, 77)(10, 71)(11, 75)(12, 56)(13, 60)(14, 76)(15, 79)(16, 57)(17, 81)(18, 61)(19, 59)(20, 78)(21, 62)(22, 65)(23, 80)(24, 72)(25, 67)(26, 74)(27, 69)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.65
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.77 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y3^-1), Y2^3 * Y3, Y3 * Y1^-3, (Y3^-1, Y1^-1), (R * Y1)^2, (Y2^-1, Y1), (R * Y3)^2, (R * Y2)^2, Y3 * Y1 * Y3 * Y2^-2, Y2^-1 * Y1 * Y2^-1 * Y3^2, Y3^9, Y1^-1 * Y2^-2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2^-2 * Y1^-1 * Y3^-1, (Y3 * Y2^-1)^27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 4, 31, 10, 37, 23, 50, 17, 44, 13, 40, 25, 52, 19, 46, 6, 33, 11, 38, 24, 51, 18, 45, 16, 43, 26, 53, 15, 42, 3, 30, 9, 36, 22, 49, 14, 41, 21, 48, 27, 54, 20, 47, 7, 34, 12, 39, 5, 32)(55, 82, 57, 84, 67, 94, 61, 88, 70, 97, 64, 91, 75, 102, 65, 92, 56, 83, 63, 90, 79, 106, 66, 93, 80, 107, 77, 104, 81, 108, 78, 105, 62, 89, 76, 103, 73, 100, 59, 86, 69, 96, 71, 98, 74, 101, 72, 99, 58, 85, 68, 95, 60, 87)
	L = (1, 58)(2, 64)(3, 68)(4, 71)(5, 62)(6, 72)(7, 55)(8, 77)(9, 75)(10, 67)(11, 70)(12, 56)(13, 60)(14, 74)(15, 76)(16, 57)(17, 73)(18, 69)(19, 78)(20, 59)(21, 61)(22, 81)(23, 79)(24, 80)(25, 65)(26, 63)(27, 66)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.83
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.78 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3 * Y2^2, (Y2, Y1), (Y1^-1, Y3^-1), (Y2^-1, Y3), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^2 * Y2 * Y1^-2, Y1^3 * Y3^2, Y2^-1 * Y1^2 * Y3^-2, Y2 * Y1 * Y2 * Y1 * Y3^-1, Y3^9 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 23, 50, 15, 42, 3, 30, 9, 36, 19, 46, 25, 52, 26, 53, 13, 40, 18, 45, 4, 31, 10, 37, 22, 49, 7, 34, 12, 39, 14, 41, 24, 51, 27, 54, 16, 43, 21, 48, 6, 33, 11, 38, 17, 44, 20, 47, 5, 32)(55, 82, 57, 84, 67, 94, 61, 88, 70, 97, 74, 101, 77, 104, 79, 106, 64, 91, 78, 105, 65, 92, 56, 83, 63, 90, 72, 99, 66, 93, 75, 102, 59, 86, 69, 96, 80, 107, 76, 103, 81, 108, 71, 98, 62, 89, 73, 100, 58, 85, 68, 95, 60, 87)
	L = (1, 58)(2, 64)(3, 68)(4, 71)(5, 72)(6, 73)(7, 55)(8, 76)(9, 78)(10, 74)(11, 79)(12, 56)(13, 60)(14, 62)(15, 66)(16, 57)(17, 80)(18, 65)(19, 81)(20, 67)(21, 63)(22, 59)(23, 61)(24, 77)(25, 70)(26, 75)(27, 69)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.72
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.79 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^3, (Y2, Y1^-1), (Y3, Y2), (Y1^-1, Y3^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1 * Y2 * Y3^2 * Y1, Y1^-2 * Y2^2 * Y3^-1, Y1^2 * Y3^-1 * Y1 * Y3^-1, Y1^-1 * Y3 * Y2^-1 * Y3^2 * Y2^-1, Y3^9, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 17, 44, 21, 48, 6, 33, 11, 38, 16, 43, 25, 52, 26, 53, 14, 41, 22, 49, 7, 34, 12, 39, 18, 45, 4, 31, 10, 37, 13, 40, 24, 51, 27, 54, 19, 46, 15, 42, 3, 30, 9, 36, 23, 50, 20, 47, 5, 32)(55, 82, 57, 84, 67, 94, 61, 88, 70, 97, 62, 89, 77, 104, 81, 108, 72, 99, 80, 107, 75, 102, 59, 86, 69, 96, 64, 91, 76, 103, 65, 92, 56, 83, 63, 90, 78, 105, 66, 93, 79, 106, 71, 98, 74, 101, 73, 100, 58, 85, 68, 95, 60, 87)
	L = (1, 58)(2, 64)(3, 68)(4, 71)(5, 72)(6, 73)(7, 55)(8, 67)(9, 76)(10, 75)(11, 69)(12, 56)(13, 60)(14, 74)(15, 80)(16, 57)(17, 78)(18, 62)(19, 79)(20, 66)(21, 81)(22, 59)(23, 61)(24, 65)(25, 63)(26, 77)(27, 70)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.68
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.80 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^2, (R * Y1)^2, Y3 * Y2^3, (Y3, Y2), (Y3, Y1^-1), (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y3^3 * Y2^-1 * Y3 * Y1^-1, Y3^-1 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y3^-1, Y3^-1 * Y2^-1 * Y3^-3 * Y1^-1 * Y3^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2^2 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 3, 30, 8, 35, 11, 38, 18, 45, 7, 34, 10, 37, 13, 40, 20, 47, 23, 50, 27, 54, 19, 46, 22, 49, 25, 52, 14, 41, 21, 48, 24, 51, 26, 53, 16, 43, 15, 42, 4, 31, 9, 36, 12, 39, 17, 44, 6, 33, 5, 32)(55, 82, 57, 84, 65, 92, 61, 88, 67, 94, 77, 104, 73, 100, 79, 106, 75, 102, 80, 107, 69, 96, 63, 90, 71, 98, 59, 86, 56, 83, 62, 89, 72, 99, 64, 91, 74, 101, 81, 108, 76, 103, 68, 95, 78, 105, 70, 97, 58, 85, 66, 93, 60, 87)
	L = (1, 58)(2, 63)(3, 66)(4, 68)(5, 69)(6, 70)(7, 55)(8, 71)(9, 75)(10, 56)(11, 60)(12, 78)(13, 57)(14, 74)(15, 79)(16, 76)(17, 80)(18, 59)(19, 61)(20, 62)(21, 77)(22, 64)(23, 65)(24, 81)(25, 67)(26, 73)(27, 72)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.81
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.81 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1, Y3^-1), Y2^2 * Y3 * Y1^-1, Y3 * Y2 * Y1^-1 * Y2, (Y2^-1, Y1), (Y1, Y3^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^-1 * Y3 * Y2^-1 * Y1^-2, Y1^3 * Y3^-2, Y3^-1 * Y2 * Y1 * Y2 * Y1, Y3^-3 * Y2 * Y1^-2, Y3^-1 * Y2 * Y3^-2 * Y1^-2, Y3^18 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 15, 42, 24, 51, 14, 41, 19, 46, 6, 33, 11, 38, 23, 50, 27, 54, 20, 47, 7, 34, 12, 39, 16, 43, 4, 31, 10, 37, 22, 49, 26, 53, 13, 40, 3, 30, 9, 36, 17, 44, 25, 52, 21, 48, 18, 45, 5, 32)(55, 82, 57, 84, 66, 93, 73, 100, 59, 86, 67, 94, 61, 88, 68, 95, 72, 99, 80, 107, 74, 101, 78, 105, 75, 102, 76, 103, 81, 108, 69, 96, 79, 106, 64, 91, 77, 104, 62, 89, 71, 98, 58, 85, 65, 92, 56, 83, 63, 90, 70, 97, 60, 87)
	L = (1, 58)(2, 64)(3, 65)(4, 69)(5, 70)(6, 71)(7, 55)(8, 76)(9, 77)(10, 78)(11, 79)(12, 56)(13, 60)(14, 57)(15, 80)(16, 62)(17, 81)(18, 66)(19, 63)(20, 59)(21, 61)(22, 68)(23, 75)(24, 67)(25, 74)(26, 73)(27, 72)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.80
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.82 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3 * Y1, Y2 * Y1 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y1^3 * Y3^-1, Y1 * Y2^-5, Y2^2 * Y3^-2 * Y2 * Y3^-2, Y3^18, (Y3 * Y2^-1)^27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 14, 41, 16, 43, 18, 45, 21, 48, 23, 50, 25, 52, 24, 51, 12, 39, 3, 30, 7, 34, 10, 37, 15, 42, 4, 31, 6, 33, 9, 36, 20, 47, 26, 53, 27, 54, 22, 49, 11, 38, 13, 40, 19, 46, 17, 44, 5, 32)(55, 82, 57, 84, 65, 92, 75, 102, 63, 90, 56, 83, 61, 88, 67, 94, 77, 104, 74, 101, 62, 89, 64, 91, 73, 100, 79, 106, 80, 107, 68, 95, 69, 96, 71, 98, 78, 105, 81, 108, 70, 97, 58, 85, 59, 86, 66, 93, 76, 103, 72, 99, 60, 87)
	L = (1, 58)(2, 60)(3, 59)(4, 68)(5, 69)(6, 70)(7, 55)(8, 63)(9, 72)(10, 56)(11, 66)(12, 71)(13, 57)(14, 74)(15, 62)(16, 80)(17, 64)(18, 81)(19, 61)(20, 75)(21, 76)(22, 78)(23, 65)(24, 73)(25, 67)(26, 77)(27, 79)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.74
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.83 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1 * Y2^-1 * Y3, (R * Y3)^2, (Y3, Y1), Y1 * Y2^-2 * Y3, (Y1^-1, Y2), (R * Y1)^2, Y1^-1 * Y2^2 * Y3^-1, (Y3^-1, Y2^-1), (R * Y2)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y2^-1, Y2 * Y1 * Y3^-3, Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-2, Y2^54 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 22, 49, 20, 47, 16, 43, 4, 31, 10, 37, 24, 51, 18, 45, 6, 33, 11, 38, 15, 42, 26, 53, 27, 54, 21, 48, 14, 41, 3, 30, 9, 36, 23, 50, 19, 46, 7, 34, 12, 39, 13, 40, 25, 52, 17, 44, 5, 32)(55, 82, 57, 84, 64, 91, 79, 106, 81, 108, 74, 101, 61, 88, 65, 92, 56, 83, 63, 90, 78, 105, 71, 98, 75, 102, 70, 97, 66, 93, 69, 96, 62, 89, 77, 104, 72, 99, 59, 86, 68, 95, 58, 85, 67, 94, 80, 107, 76, 103, 73, 100, 60, 87)
	L = (1, 58)(2, 64)(3, 67)(4, 69)(5, 70)(6, 68)(7, 55)(8, 78)(9, 79)(10, 80)(11, 57)(12, 56)(13, 62)(14, 66)(15, 63)(16, 65)(17, 74)(18, 75)(19, 59)(20, 60)(21, 61)(22, 72)(23, 71)(24, 81)(25, 76)(26, 77)(27, 73)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.77
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.84 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^-1 * Y3, (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y3)^2, Y3 * Y1^-1 * Y2^-2, (R * Y2)^2, Y1^-1 * Y2^-1 * Y3 * Y2^-1, (Y1^-1, Y3^-1), Y3 * Y1 * Y2 * Y3 * Y1, Y2 * Y1^-2 * Y2^2 * Y1^-1, Y1 * Y3^-2 * Y2^-4, Y2 * Y3^-3 * Y1 * Y3^-2 * Y1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 22, 49, 14, 41, 19, 46, 7, 34, 12, 39, 24, 51, 15, 42, 3, 30, 9, 36, 21, 48, 26, 53, 27, 54, 17, 44, 16, 43, 6, 33, 11, 38, 23, 50, 13, 40, 4, 31, 10, 37, 20, 47, 25, 52, 18, 45, 5, 32)(55, 82, 57, 84, 67, 94, 76, 103, 80, 107, 74, 101, 61, 88, 70, 97, 59, 86, 69, 96, 77, 104, 62, 89, 75, 102, 64, 91, 73, 100, 71, 98, 72, 99, 78, 105, 65, 92, 56, 83, 63, 90, 58, 85, 68, 95, 81, 108, 79, 106, 66, 93, 60, 87)
	L = (1, 58)(2, 64)(3, 68)(4, 71)(5, 67)(6, 63)(7, 55)(8, 74)(9, 73)(10, 70)(11, 75)(12, 56)(13, 81)(14, 72)(15, 76)(16, 57)(17, 69)(18, 77)(19, 59)(20, 60)(21, 61)(22, 79)(23, 80)(24, 62)(25, 65)(26, 66)(27, 78)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.71
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.85 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-2, Y3^-2 * Y1 * Y2, (Y3, Y1^-1), Y3 * Y2^-1 * Y3 * Y1^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-6 * Y3^-1, Y2^-2 * Y3^-3 * Y2^-2 * Y1^-1, (Y1^-1 * Y3^-1)^27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 3, 30, 8, 35, 11, 38, 18, 45, 20, 47, 26, 53, 25, 52, 23, 50, 17, 44, 15, 42, 7, 34, 10, 37, 13, 40, 4, 31, 9, 36, 12, 39, 19, 46, 21, 48, 27, 54, 24, 51, 22, 49, 16, 43, 14, 41, 6, 33, 5, 32)(55, 82, 57, 84, 65, 92, 74, 101, 79, 106, 71, 98, 61, 88, 67, 94, 63, 90, 73, 100, 81, 108, 76, 103, 68, 95, 59, 86, 56, 83, 62, 89, 72, 99, 80, 107, 77, 104, 69, 96, 64, 91, 58, 85, 66, 93, 75, 102, 78, 105, 70, 97, 60, 87)
	L = (1, 58)(2, 63)(3, 66)(4, 62)(5, 67)(6, 64)(7, 55)(8, 73)(9, 65)(10, 56)(11, 75)(12, 72)(13, 57)(14, 61)(15, 59)(16, 69)(17, 60)(18, 81)(19, 74)(20, 78)(21, 80)(22, 71)(23, 68)(24, 77)(25, 70)(26, 76)(27, 79)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.75
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.86 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^2 * Y1^-1, Y3 * Y2^-2 * Y1, (Y3^-1, Y1^-1), (Y2^-1, Y1^-1), (Y2, Y3^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^2 * Y1^3, Y1 * Y2 * Y1 * Y3 * Y2, Y2 * Y3^3 * Y1^-2, Y3 * Y2 * Y1^-1 * Y3^2 * Y1^-1, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-2, Y3^-9, Y3^18 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 21, 48, 25, 52, 13, 40, 18, 45, 6, 33, 11, 38, 22, 49, 27, 54, 16, 43, 4, 31, 10, 37, 19, 46, 7, 34, 12, 39, 23, 50, 26, 53, 14, 41, 3, 30, 9, 36, 20, 47, 24, 51, 15, 42, 17, 44, 5, 32)(55, 82, 57, 84, 64, 91, 72, 99, 59, 86, 68, 95, 58, 85, 67, 94, 71, 98, 80, 107, 70, 97, 79, 106, 69, 96, 77, 104, 81, 108, 75, 102, 78, 105, 66, 93, 76, 103, 62, 89, 74, 101, 61, 88, 65, 92, 56, 83, 63, 90, 73, 100, 60, 87)
	L = (1, 58)(2, 64)(3, 67)(4, 69)(5, 70)(6, 68)(7, 55)(8, 73)(9, 72)(10, 71)(11, 57)(12, 56)(13, 77)(14, 79)(15, 76)(16, 78)(17, 81)(18, 80)(19, 59)(20, 60)(21, 61)(22, 63)(23, 62)(24, 65)(25, 66)(26, 75)(27, 74)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.70
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.87 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1 * Y3, Y1 * Y2 * Y3^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2^-1 * Y1^-2 * Y3 * Y1, Y3 * Y1^3 * Y3, Y2^2 * Y1^-1 * Y2^3 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 19, 46, 18, 45, 17, 44, 21, 48, 22, 49, 24, 51, 25, 52, 13, 40, 3, 30, 4, 31, 9, 36, 16, 43, 7, 34, 6, 33, 10, 37, 20, 47, 27, 54, 26, 53, 23, 50, 11, 38, 12, 39, 14, 41, 15, 42, 5, 32)(55, 82, 57, 84, 65, 92, 75, 102, 64, 91, 56, 83, 58, 85, 66, 93, 76, 103, 74, 101, 62, 89, 63, 90, 68, 95, 78, 105, 81, 108, 73, 100, 70, 97, 69, 96, 79, 106, 80, 107, 72, 99, 61, 88, 59, 86, 67, 94, 77, 104, 71, 98, 60, 87)
	L = (1, 58)(2, 63)(3, 66)(4, 68)(5, 57)(6, 56)(7, 55)(8, 70)(9, 69)(10, 62)(11, 76)(12, 78)(13, 65)(14, 79)(15, 67)(16, 59)(17, 64)(18, 60)(19, 61)(20, 73)(21, 74)(22, 81)(23, 75)(24, 80)(25, 77)(26, 71)(27, 72)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.62
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.88 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3 * Y2^2, (Y3, Y2^-1), Y2^-1 * Y1 * Y3^-1 * Y2^-1, (Y1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), Y1 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y2)^2, Y2 * Y1 * Y3^3, Y3 * Y1^2 * Y3 * Y2^-1, Y2^-1 * Y1^-2 * Y2^-2 * Y1^-1, Y1^2 * Y2^-10 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 22, 49, 17, 44, 20, 47, 7, 34, 12, 39, 24, 51, 19, 46, 6, 33, 11, 38, 21, 48, 26, 53, 27, 54, 15, 42, 13, 40, 3, 30, 9, 36, 23, 50, 16, 43, 4, 31, 10, 37, 14, 41, 25, 52, 18, 45, 5, 32)(55, 82, 57, 84, 66, 93, 79, 106, 81, 108, 71, 98, 58, 85, 65, 92, 56, 83, 63, 90, 78, 105, 72, 99, 69, 96, 74, 101, 64, 91, 75, 102, 62, 89, 77, 104, 73, 100, 59, 86, 67, 94, 61, 88, 68, 95, 80, 107, 76, 103, 70, 97, 60, 87)
	L = (1, 58)(2, 64)(3, 65)(4, 69)(5, 70)(6, 71)(7, 55)(8, 68)(9, 75)(10, 67)(11, 74)(12, 56)(13, 60)(14, 57)(15, 73)(16, 81)(17, 72)(18, 77)(19, 76)(20, 59)(21, 61)(22, 79)(23, 80)(24, 62)(25, 63)(26, 66)(27, 78)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.91
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.89 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2 * Y1^-1, (Y3^-1, Y1), Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2 * Y1 * Y3^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3 * Y1^-1 * Y3^-1 * Y2^2 * Y1^-1 * Y2^-1, Y3^-1 * Y2^6, (Y3 * Y2^-1)^27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 3, 30, 8, 35, 11, 38, 18, 45, 20, 47, 26, 53, 24, 51, 22, 49, 16, 43, 15, 42, 4, 31, 9, 36, 12, 39, 7, 34, 10, 37, 13, 40, 19, 46, 21, 48, 27, 54, 25, 52, 23, 50, 17, 44, 14, 41, 6, 33, 5, 32)(55, 82, 57, 84, 65, 92, 74, 101, 78, 105, 70, 97, 58, 85, 66, 93, 64, 91, 73, 100, 81, 108, 77, 104, 68, 95, 59, 86, 56, 83, 62, 89, 72, 99, 80, 107, 76, 103, 69, 96, 63, 90, 61, 88, 67, 94, 75, 102, 79, 106, 71, 98, 60, 87)
	L = (1, 58)(2, 63)(3, 66)(4, 68)(5, 69)(6, 70)(7, 55)(8, 61)(9, 60)(10, 56)(11, 64)(12, 59)(13, 57)(14, 76)(15, 71)(16, 77)(17, 78)(18, 67)(19, 62)(20, 73)(21, 65)(22, 79)(23, 80)(24, 81)(25, 74)(26, 75)(27, 72)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.66
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.90 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2 * Y1^-1 * Y3, Y2 * Y1^-2 * Y3, (Y2^-1, Y3^-1), (Y2, Y1^-1), Y1 * Y3^-1 * Y2^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^2 * Y3^-1 * Y2 * Y3^-1, Y1^3 * Y3^2, Y2^-1 * Y1^-1 * Y2^-2 * Y1^-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 * Y1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 21, 48, 27, 54, 14, 41, 24, 51, 13, 40, 23, 50, 18, 45, 6, 33, 11, 38, 4, 31, 10, 37, 19, 46, 7, 34, 12, 39, 3, 30, 9, 36, 22, 49, 20, 47, 26, 53, 16, 43, 25, 52, 15, 42, 17, 44, 5, 32)(55, 82, 57, 84, 67, 94, 69, 96, 73, 100, 81, 108, 80, 107, 65, 92, 56, 83, 63, 90, 77, 104, 71, 98, 61, 88, 68, 95, 70, 97, 58, 85, 62, 89, 76, 103, 72, 99, 59, 86, 66, 93, 78, 105, 79, 106, 64, 91, 75, 102, 74, 101, 60, 87)
	L = (1, 58)(2, 64)(3, 62)(4, 69)(5, 65)(6, 70)(7, 55)(8, 73)(9, 75)(10, 71)(11, 79)(12, 56)(13, 76)(14, 57)(15, 72)(16, 67)(17, 60)(18, 80)(19, 59)(20, 68)(21, 61)(22, 81)(23, 74)(24, 63)(25, 77)(26, 78)(27, 66)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.67
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.91 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1^-1), Y1 * Y2^-1 * Y1 * Y3, Y1^2 * Y2^-1 * Y3, Y2 * Y3^-1 * Y1^-2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^3 * Y3^-2, Y2 * Y3 * Y2 * Y3 * Y2, Y2^-1 * Y3 * Y1^-1 * Y2^-3, Y2^3 * Y3^-1 * Y2 * Y1, Y1^-1 * Y2^-1 * Y3^-6, Y3^9, 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^-1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 15, 42, 25, 52, 14, 41, 24, 51, 13, 40, 23, 50, 18, 45, 6, 33, 11, 38, 7, 34, 12, 39, 16, 43, 4, 31, 10, 37, 3, 30, 9, 36, 22, 49, 19, 46, 26, 53, 20, 47, 27, 54, 21, 48, 17, 44, 5, 32)(55, 82, 57, 84, 67, 94, 75, 102, 70, 97, 79, 106, 80, 107, 65, 92, 56, 83, 63, 90, 77, 104, 71, 98, 58, 85, 68, 95, 74, 101, 61, 88, 62, 89, 76, 103, 72, 99, 59, 86, 64, 91, 78, 105, 81, 108, 66, 93, 69, 96, 73, 100, 60, 87)
	L = (1, 58)(2, 64)(3, 68)(4, 69)(5, 70)(6, 71)(7, 55)(8, 57)(9, 78)(10, 79)(11, 59)(12, 56)(13, 74)(14, 73)(15, 63)(16, 62)(17, 66)(18, 75)(19, 77)(20, 60)(21, 61)(22, 67)(23, 81)(24, 80)(25, 76)(26, 72)(27, 65)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.88
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.92 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^-1 * Y2, (Y2^-1, Y3^-1), (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^4, (Y1^-1, Y3), Y3 * Y1^2 * Y3 * Y2, Y2 * Y1^2 * Y3^-2, Y2 * Y1 * Y3^2 * Y1, Y3^-1 * Y1^2 * Y2 * Y3^-1, Y2 * Y1^-5 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 23, 51, 14, 42, 3, 31, 9, 37, 16, 44, 20, 48, 6, 34, 11, 39, 24, 52, 19, 47, 5, 33)(4, 32, 10, 38, 22, 50, 26, 54, 27, 55, 13, 41, 21, 49, 7, 35, 12, 40, 18, 46, 25, 53, 28, 56, 15, 43, 17, 45)(57, 85, 59, 87, 67, 95, 58, 86, 65, 93, 80, 108, 64, 92, 72, 100, 75, 103, 79, 107, 76, 104, 61, 89, 70, 98, 62, 90)(60, 88, 69, 97, 81, 109, 66, 94, 77, 105, 84, 112, 78, 106, 63, 91, 71, 99, 82, 110, 68, 96, 73, 101, 83, 111, 74, 102)
	L = (1, 60)(2, 66)(3, 69)(4, 72)(5, 73)(6, 74)(7, 57)(8, 78)(9, 77)(10, 76)(11, 81)(12, 58)(13, 75)(14, 83)(15, 59)(16, 63)(17, 65)(18, 64)(19, 71)(20, 68)(21, 61)(22, 62)(23, 82)(24, 84)(25, 79)(26, 67)(27, 80)(28, 70)(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) :: { ( 56^28 ) }
Outer automorphisms :: reflexible
Dual of E26.127
Graph:: bipartite
	v = 4 e = 56 f = 2
	degree seq :: [ 28^4 ]

E26.93 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-3, Y3^4, (Y3^-1, Y2^-1), (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y2)^2, (R * Y3)^2, (Y1^-1, Y2), Y3 * Y1^-1 * Y3 * Y1^-1 * Y2, Y1 * Y3^2 * Y2^-1 * Y1, Y1^14, Y3 * 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 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 23, 51, 13, 41, 6, 34, 11, 39, 17, 45, 15, 43, 3, 31, 9, 37, 24, 52, 20, 48, 5, 33)(4, 32, 10, 38, 16, 44, 26, 54, 27, 55, 19, 47, 21, 49, 7, 35, 12, 40, 14, 42, 25, 53, 28, 56, 22, 50, 18, 46)(57, 85, 59, 87, 69, 97, 61, 89, 71, 99, 79, 107, 76, 104, 73, 101, 64, 92, 80, 108, 67, 95, 58, 86, 65, 93, 62, 90)(60, 88, 70, 98, 83, 111, 74, 102, 68, 96, 82, 110, 78, 106, 63, 91, 72, 100, 84, 112, 77, 105, 66, 94, 81, 109, 75, 103)
	L = (1, 60)(2, 66)(3, 70)(4, 73)(5, 74)(6, 75)(7, 57)(8, 72)(9, 81)(10, 71)(11, 77)(12, 58)(13, 83)(14, 64)(15, 68)(16, 59)(17, 63)(18, 67)(19, 76)(20, 78)(21, 61)(22, 62)(23, 82)(24, 84)(25, 79)(26, 65)(27, 80)(28, 69)(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) :: { ( 56^28 ) }
Outer automorphisms :: reflexible
Dual of E26.128
Graph:: bipartite
	v = 4 e = 56 f = 2
	degree seq :: [ 28^4 ]

E26.94 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^2, (Y2^-1, Y1^-1), Y2 * Y1^-3, (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y1), (R * Y3)^2, Y1^-1 * Y3 * Y1^-2 * Y3, Y2 * Y1^-1 * Y2^4, Y1 * Y3 * Y2^2 * Y3 * Y2 * Y1, 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 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 3, 31, 9, 37, 20, 48, 13, 41, 22, 50, 18, 46, 24, 52, 16, 44, 6, 34, 11, 39, 5, 33)(4, 32, 10, 38, 21, 49, 14, 42, 23, 51, 28, 56, 26, 54, 27, 55, 19, 47, 25, 53, 17, 45, 7, 35, 12, 40, 15, 43)(57, 85, 59, 87, 69, 97, 80, 108, 67, 95, 58, 86, 65, 93, 78, 106, 72, 100, 61, 89, 64, 92, 76, 104, 74, 102, 62, 90)(60, 88, 70, 98, 82, 110, 81, 109, 68, 96, 66, 94, 79, 107, 83, 111, 73, 101, 71, 99, 77, 105, 84, 112, 75, 103, 63, 91)
	L = (1, 60)(2, 66)(3, 70)(4, 59)(5, 71)(6, 63)(7, 57)(8, 77)(9, 79)(10, 65)(11, 68)(12, 58)(13, 82)(14, 69)(15, 64)(16, 73)(17, 61)(18, 75)(19, 62)(20, 84)(21, 76)(22, 83)(23, 78)(24, 81)(25, 67)(26, 80)(27, 72)(28, 74)(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) :: { ( 56^28 ) }
Outer automorphisms :: reflexible
Dual of E26.130
Graph:: bipartite
	v = 4 e = 56 f = 2
	degree seq :: [ 28^4 ]

E26.95 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^-1, Y1^-3 * Y2^-1, (Y1^-1, Y3), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3 * Y1^2 * Y3 * Y1, Y2^3 * Y1 * Y2^2, (Y2^2 * Y1^-1)^2, Y2^-1 * Y1^-1 * Y3 * Y2 * Y3 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 6, 34, 11, 39, 20, 48, 18, 46, 24, 52, 13, 41, 22, 50, 15, 43, 3, 31, 9, 37, 5, 33)(4, 32, 10, 38, 17, 45, 7, 35, 12, 40, 21, 49, 19, 47, 25, 53, 26, 54, 28, 56, 27, 55, 14, 42, 23, 51, 16, 44)(57, 85, 59, 87, 69, 97, 76, 104, 64, 92, 61, 89, 71, 99, 80, 108, 67, 95, 58, 86, 65, 93, 78, 106, 74, 102, 62, 90)(60, 88, 70, 98, 82, 110, 77, 105, 73, 101, 72, 100, 83, 111, 81, 109, 68, 96, 66, 94, 79, 107, 84, 112, 75, 103, 63, 91)
	L = (1, 60)(2, 66)(3, 70)(4, 59)(5, 72)(6, 63)(7, 57)(8, 73)(9, 79)(10, 65)(11, 68)(12, 58)(13, 82)(14, 69)(15, 83)(16, 71)(17, 61)(18, 75)(19, 62)(20, 77)(21, 64)(22, 84)(23, 78)(24, 81)(25, 67)(26, 76)(27, 80)(28, 74)(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) :: { ( 56^28 ) }
Outer automorphisms :: reflexible
Dual of E26.129
Graph:: bipartite
	v = 4 e = 56 f = 2
	degree seq :: [ 28^4 ]

E26.96 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ 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 * Y2^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^14, (Y3^-1 * Y1^-1)^14, (Y3 * Y2^-1)^28 ]
Map::
	R = (1, 29, 2, 30, 6, 34, 10, 38, 14, 42, 18, 46, 22, 50, 26, 54, 24, 52, 20, 48, 16, 44, 12, 40, 8, 36, 4, 32)(3, 31, 7, 35, 11, 39, 15, 43, 19, 47, 23, 51, 27, 55, 28, 56, 25, 53, 21, 49, 17, 45, 13, 41, 9, 37, 5, 33)(57, 85, 59, 87, 58, 86, 63, 91, 62, 90, 67, 95, 66, 94, 71, 99, 70, 98, 75, 103, 74, 102, 79, 107, 78, 106, 83, 111, 82, 110, 84, 112, 80, 108, 81, 109, 76, 104, 77, 105, 72, 100, 73, 101, 68, 96, 69, 97, 64, 92, 65, 93, 60, 88, 61, 89)
	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) :: { ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 56 f = 3
	degree seq :: [ 28^2, 56 ]

E26.97 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|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 * Y2^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^14, (Y3^-1 * Y1^-1)^14, (Y3 * Y2^-1)^28 ]
Map::
	R = (1, 29, 2, 30, 6, 34, 10, 38, 14, 42, 18, 46, 22, 50, 26, 54, 25, 53, 21, 49, 17, 45, 13, 41, 9, 37, 4, 32)(3, 31, 5, 33, 7, 35, 11, 39, 15, 43, 19, 47, 23, 51, 27, 55, 28, 56, 24, 52, 20, 48, 16, 44, 12, 40, 8, 36)(57, 85, 59, 87, 60, 88, 64, 92, 65, 93, 68, 96, 69, 97, 72, 100, 73, 101, 76, 104, 77, 105, 80, 108, 81, 109, 84, 112, 82, 110, 83, 111, 78, 106, 79, 107, 74, 102, 75, 103, 70, 98, 71, 99, 66, 94, 67, 95, 62, 90, 63, 91, 58, 86, 61, 89)
	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) :: { ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 56 f = 3
	degree seq :: [ 28^2, 56 ]

E26.98 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|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, (R * Y2 * Y3^-1)^2, Y2^2 * Y1^-1 * Y2^4, Y2^-1 * Y1 * Y2^-1 * Y1^4, Y1^-1 * Y2^-1 * Y1^-2 * Y2^-3 * Y1^-1, (Y3^-1 * Y1^-1)^14, (Y3 * Y2^-1)^28 ]
Map::
	R = (1, 29, 2, 30, 6, 34, 14, 42, 20, 48, 9, 37, 17, 45, 27, 55, 24, 52, 13, 41, 18, 46, 22, 50, 11, 39, 4, 32)(3, 31, 7, 35, 15, 43, 26, 54, 25, 53, 19, 47, 28, 56, 23, 51, 12, 40, 5, 33, 8, 36, 16, 44, 21, 49, 10, 38)(57, 85, 59, 87, 65, 93, 75, 103, 74, 102, 64, 92, 58, 86, 63, 91, 73, 101, 84, 112, 78, 106, 72, 100, 62, 90, 71, 99, 83, 111, 79, 107, 67, 95, 77, 105, 70, 98, 82, 110, 80, 108, 68, 96, 60, 88, 66, 94, 76, 104, 81, 109, 69, 97, 61, 89)
	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) :: { ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 56 f = 3
	degree seq :: [ 28^2, 56 ]

E26.99 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|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, (Y1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^2 * Y2 * Y1 * Y2 * Y1^2, Y2 * Y1 * Y2^5, Y1^-1 * Y2 * Y1^-2 * Y2^3 * Y1^-1, (Y3^-1 * Y1^-1)^14, (Y3 * Y2^-1)^28 ]
Map::
	R = (1, 29, 2, 30, 6, 34, 14, 42, 24, 52, 13, 41, 18, 46, 27, 55, 20, 48, 9, 37, 17, 45, 22, 50, 11, 39, 4, 32)(3, 31, 7, 35, 15, 43, 23, 51, 12, 40, 5, 33, 8, 36, 16, 44, 26, 54, 19, 47, 25, 53, 28, 56, 21, 49, 10, 38)(57, 85, 59, 87, 65, 93, 75, 103, 80, 108, 68, 96, 60, 88, 66, 94, 76, 104, 82, 110, 70, 98, 79, 107, 67, 95, 77, 105, 83, 111, 72, 100, 62, 90, 71, 99, 78, 106, 84, 112, 74, 102, 64, 92, 58, 86, 63, 91, 73, 101, 81, 109, 69, 97, 61, 89)
	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) :: { ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 56 f = 3
	degree seq :: [ 28^2, 56 ]

E26.100 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ 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^-2 * Y1^3, (R * Y2 * Y3^-1)^2, Y2^-8 * Y1^-2, Y1^2 * Y2^8, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-7, (Y3^-1 * Y1^-1)^14, (Y3 * Y2^-1)^28 ]
Map::
	R = (1, 29, 2, 30, 6, 34, 9, 37, 15, 43, 20, 48, 22, 50, 27, 55, 25, 53, 23, 51, 18, 46, 13, 41, 11, 39, 4, 32)(3, 31, 7, 35, 14, 42, 16, 44, 21, 49, 26, 54, 28, 56, 24, 52, 19, 47, 17, 45, 12, 40, 5, 33, 8, 36, 10, 38)(57, 85, 59, 87, 65, 93, 72, 100, 78, 106, 84, 112, 79, 107, 73, 101, 67, 95, 64, 92, 58, 86, 63, 91, 71, 99, 77, 105, 83, 111, 80, 108, 74, 102, 68, 96, 60, 88, 66, 94, 62, 90, 70, 98, 76, 104, 82, 110, 81, 109, 75, 103, 69, 97, 61, 89)
	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) :: { ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 56 f = 3
	degree seq :: [ 28^2, 56 ]

E26.101 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|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), (R * Y3)^2, Y1 * Y2 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y1 * Y2^-7, (Y3^-1 * Y1^-1)^14, (Y3 * Y2^-1)^28 ]
Map::
	R = (1, 29, 2, 30, 6, 34, 13, 41, 15, 43, 20, 48, 25, 53, 27, 55, 22, 50, 24, 52, 17, 45, 9, 37, 11, 39, 4, 32)(3, 31, 7, 35, 12, 40, 5, 33, 8, 36, 14, 42, 19, 47, 21, 49, 26, 54, 28, 56, 23, 51, 16, 44, 18, 46, 10, 38)(57, 85, 59, 87, 65, 93, 72, 100, 78, 106, 82, 110, 76, 104, 70, 98, 62, 90, 68, 96, 60, 88, 66, 94, 73, 101, 79, 107, 83, 111, 77, 105, 71, 99, 64, 92, 58, 86, 63, 91, 67, 95, 74, 102, 80, 108, 84, 112, 81, 109, 75, 103, 69, 97, 61, 89)
	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) :: { ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 56 f = 3
	degree seq :: [ 28^2, 56 ]

E26.102 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-2, (Y3^-1, Y2), (Y3^-1, Y2^-1), (Y3, Y1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1^2, Y1^2 * Y3 * Y1^2, Y3^-1 * Y1^-4, Y1 * Y3^-3 * Y1, 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 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 19, 47, 7, 35, 11, 39, 14, 42, 25, 53, 21, 49, 15, 43, 4, 32, 10, 38, 17, 45, 5, 33)(3, 31, 9, 37, 22, 50, 20, 48, 13, 41, 24, 52, 26, 54, 28, 56, 27, 55, 16, 44, 12, 40, 23, 51, 18, 46, 6, 34)(57, 85, 59, 87, 58, 86, 65, 93, 64, 92, 78, 106, 75, 103, 76, 104, 63, 91, 69, 97, 67, 95, 80, 108, 70, 98, 82, 110, 81, 109, 84, 112, 77, 105, 83, 111, 71, 99, 72, 100, 60, 88, 68, 96, 66, 94, 79, 107, 73, 101, 74, 102, 61, 89, 62, 90)
	L = (1, 60)(2, 66)(3, 68)(4, 70)(5, 71)(6, 72)(7, 57)(8, 73)(9, 79)(10, 81)(11, 58)(12, 82)(13, 59)(14, 64)(15, 67)(16, 80)(17, 77)(18, 83)(19, 61)(20, 62)(21, 63)(22, 74)(23, 84)(24, 65)(25, 75)(26, 78)(27, 69)(28, 76)(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) :: { ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.126
Graph:: bipartite
	v = 3 e = 56 f = 3
	degree seq :: [ 28^2, 56 ]

E26.103 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-2, (Y3^-1, Y1^-1), (Y2^-1, Y3), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3 * Y1^-4, Y1^-4 * Y3, Y1 * Y3^3 * Y1, Y1^-1 * Y3 * Y1^-3, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1, Y2 * Y3 * Y1^-1 * Y2 * Y1^-2, Y3^-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 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 16, 44, 4, 32, 9, 37, 21, 49, 25, 53, 15, 43, 19, 47, 7, 35, 11, 39, 18, 46, 5, 33)(3, 31, 6, 34, 10, 38, 22, 50, 12, 40, 17, 45, 23, 51, 28, 56, 26, 54, 27, 55, 14, 42, 20, 48, 24, 52, 13, 41)(57, 85, 59, 87, 61, 89, 69, 97, 74, 102, 80, 108, 67, 95, 76, 104, 63, 91, 70, 98, 75, 103, 83, 111, 71, 99, 82, 110, 81, 109, 84, 112, 77, 105, 79, 107, 65, 93, 73, 101, 60, 88, 68, 96, 72, 100, 78, 106, 64, 92, 66, 94, 58, 86, 62, 90)
	L = (1, 60)(2, 65)(3, 68)(4, 71)(5, 72)(6, 73)(7, 57)(8, 77)(9, 75)(10, 79)(11, 58)(12, 82)(13, 78)(14, 59)(15, 74)(16, 81)(17, 83)(18, 64)(19, 61)(20, 62)(21, 63)(22, 84)(23, 70)(24, 66)(25, 67)(26, 80)(27, 69)(28, 76)(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) :: { ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.122
Graph:: bipartite
	v = 3 e = 56 f = 3
	degree seq :: [ 28^2, 56 ]

E26.104 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1^-1), Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, (Y3^-1 * Y1)^2, (R * Y3)^2, Y2^-2 * Y3^-1 * Y1^-1, Y1^-2 * Y3^2, Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y1)^2, (R * Y2)^2, Y3 * Y2^-1 * Y3 * Y2 * Y1^-2, Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-2, Y1^-1 * Y3^-1 * Y2^4 * Y1^-1, (Y3 * Y1^2)^7, (Y3 * Y1^3)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 19, 47, 26, 54, 13, 41, 7, 35, 12, 40, 4, 32, 10, 38, 21, 49, 27, 55, 18, 46, 5, 33)(3, 31, 9, 37, 20, 48, 17, 45, 24, 52, 25, 53, 16, 44, 23, 51, 14, 42, 6, 34, 11, 39, 22, 50, 28, 56, 15, 43)(57, 85, 59, 87, 69, 97, 81, 109, 77, 105, 67, 95, 58, 86, 65, 93, 63, 91, 72, 100, 83, 111, 78, 106, 64, 92, 76, 104, 68, 96, 79, 107, 74, 102, 84, 112, 75, 103, 73, 101, 60, 88, 70, 98, 61, 89, 71, 99, 82, 110, 80, 108, 66, 94, 62, 90)
	L = (1, 60)(2, 66)(3, 70)(4, 64)(5, 68)(6, 73)(7, 57)(8, 77)(9, 62)(10, 75)(11, 80)(12, 58)(13, 61)(14, 76)(15, 79)(16, 59)(17, 78)(18, 63)(19, 83)(20, 67)(21, 82)(22, 81)(23, 65)(24, 84)(25, 71)(26, 74)(27, 69)(28, 72)(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) :: { ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.124
Graph:: bipartite
	v = 3 e = 56 f = 3
	degree seq :: [ 28^2, 56 ]

E26.105 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^2, (R * Y2)^2, (Y1, Y2^-1), (Y3, Y2^-1), (R * Y1)^2, Y1 * Y2^-1 * Y3 * Y2^-1, Y2^-2 * Y3 * Y1, (R * Y3)^2, Y3^7, Y3^-2 * Y2^-1 * Y1^-1 * Y3^-3 * Y2^-1, (Y1^-1 * Y3^-1)^14, Y2 * Y1 * Y2^23 * Y3^2 * Y1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 4, 32, 9, 37, 13, 41, 19, 47, 21, 49, 27, 55, 25, 53, 23, 51, 17, 45, 15, 43, 7, 35, 5, 33)(3, 31, 8, 36, 11, 39, 18, 46, 20, 48, 26, 54, 28, 56, 24, 52, 22, 50, 16, 44, 14, 42, 6, 34, 10, 38, 12, 40)(57, 85, 59, 87, 65, 93, 74, 102, 77, 105, 84, 112, 79, 107, 72, 100, 63, 91, 66, 94, 58, 86, 64, 92, 69, 97, 76, 104, 83, 111, 80, 108, 73, 101, 70, 98, 61, 89, 68, 96, 60, 88, 67, 95, 75, 103, 82, 110, 81, 109, 78, 106, 71, 99, 62, 90)
	L = (1, 60)(2, 65)(3, 67)(4, 69)(5, 58)(6, 68)(7, 57)(8, 74)(9, 75)(10, 59)(11, 76)(12, 64)(13, 77)(14, 66)(15, 61)(16, 62)(17, 63)(18, 82)(19, 83)(20, 84)(21, 81)(22, 70)(23, 71)(24, 72)(25, 73)(26, 80)(27, 79)(28, 78)(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) :: { ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.125
Graph:: bipartite
	v = 3 e = 56 f = 3
	degree seq :: [ 28^2, 56 ]

E26.106 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y1^-1, (Y2^-1, Y3^-1), Y3 * Y2^-1 * Y1^-1 * Y2^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^2 * Y3^-1 * Y1, Y3^2 * Y1^-1 * Y3^-3 * Y1^-1, Y3^7, Y2 * Y3^2 * Y2 * Y1 * Y3^-3, (Y1^-1 * Y3)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 7, 35, 10, 38, 17, 45, 19, 47, 25, 53, 27, 55, 23, 51, 21, 49, 15, 43, 11, 39, 4, 32, 5, 33)(3, 31, 8, 36, 14, 42, 6, 34, 9, 37, 16, 44, 18, 46, 24, 52, 26, 54, 28, 56, 22, 50, 20, 48, 12, 40, 13, 41)(57, 85, 59, 87, 67, 95, 76, 104, 79, 107, 82, 110, 75, 103, 72, 100, 63, 91, 70, 98, 61, 89, 69, 97, 71, 99, 78, 106, 83, 111, 80, 108, 73, 101, 65, 93, 58, 86, 64, 92, 60, 88, 68, 96, 77, 105, 84, 112, 81, 109, 74, 102, 66, 94, 62, 90)
	L = (1, 60)(2, 61)(3, 68)(4, 71)(5, 67)(6, 64)(7, 57)(8, 69)(9, 70)(10, 58)(11, 77)(12, 78)(13, 76)(14, 59)(15, 79)(16, 62)(17, 63)(18, 65)(19, 66)(20, 84)(21, 83)(22, 82)(23, 81)(24, 72)(25, 73)(26, 74)(27, 75)(28, 80)(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) :: { ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.123
Graph:: bipartite
	v = 3 e = 56 f = 3
	degree seq :: [ 28^2, 56 ]

E26.107 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2, (Y3 * Y1^-1)^2, (Y3, Y2), (R * Y1)^2, Y1^2 * Y3^-2, (R * Y2)^2, (R * Y3)^2, Y3^2 * Y1 * Y3^3 * Y1, (Y3^-1 * Y1^-1)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 19, 47, 25, 53, 17, 45, 7, 35, 11, 39, 4, 32, 10, 38, 21, 49, 23, 51, 15, 43, 5, 33)(3, 31, 9, 37, 20, 48, 27, 55, 26, 54, 18, 46, 13, 41, 14, 42, 12, 40, 22, 50, 28, 56, 24, 52, 16, 44, 6, 34)(57, 85, 59, 87, 58, 86, 65, 93, 64, 92, 76, 104, 75, 103, 83, 111, 81, 109, 82, 110, 73, 101, 74, 102, 63, 91, 69, 97, 67, 95, 70, 98, 60, 88, 68, 96, 66, 94, 78, 106, 77, 105, 84, 112, 79, 107, 80, 108, 71, 99, 72, 100, 61, 89, 62, 90)
	L = (1, 60)(2, 66)(3, 68)(4, 64)(5, 67)(6, 70)(7, 57)(8, 77)(9, 78)(10, 75)(11, 58)(12, 76)(13, 59)(14, 65)(15, 63)(16, 69)(17, 61)(18, 62)(19, 79)(20, 84)(21, 81)(22, 83)(23, 73)(24, 74)(25, 71)(26, 72)(27, 80)(28, 82)(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) :: { ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.110
Graph:: bipartite
	v = 3 e = 56 f = 3
	degree seq :: [ 28^2, 56 ]

E26.108 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3 * Y1, (Y1^-1, Y3^-1), (Y2, Y3^-1), (Y1^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^-1 * Y1 * Y3^-1 * Y2^-2, Y2^-4 * Y3^2, Y3^7 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 7, 35, 10, 38, 21, 49, 11, 39, 22, 50, 25, 53, 27, 55, 19, 47, 15, 43, 16, 44, 4, 32, 5, 33)(3, 31, 8, 36, 14, 42, 23, 51, 26, 54, 24, 52, 28, 56, 17, 45, 18, 46, 6, 34, 9, 37, 20, 48, 12, 40, 13, 41)(57, 85, 59, 87, 67, 95, 80, 108, 71, 99, 65, 93, 58, 86, 64, 92, 78, 106, 84, 112, 72, 100, 76, 104, 63, 91, 70, 98, 81, 109, 73, 101, 60, 88, 68, 96, 66, 94, 79, 107, 83, 111, 74, 102, 61, 89, 69, 97, 77, 105, 82, 110, 75, 103, 62, 90)
	L = (1, 60)(2, 61)(3, 68)(4, 71)(5, 72)(6, 73)(7, 57)(8, 69)(9, 74)(10, 58)(11, 66)(12, 65)(13, 76)(14, 59)(15, 83)(16, 75)(17, 80)(18, 84)(19, 81)(20, 62)(21, 63)(22, 77)(23, 64)(24, 79)(25, 67)(26, 70)(27, 78)(28, 82)(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) :: { ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 56 f = 3
	degree seq :: [ 28^2, 56 ]

E26.109 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3, (Y3^-1, Y2), (R * Y3)^2, (Y2, Y1^-1), (R * Y2)^2, (R * Y1)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y2^-2, Y3 * Y2 * Y3 * Y2 * Y1, Y3^2 * Y2^-4, Y1 * Y2^-1 * Y3 * Y1 * Y2^-3, Y3^7, (Y3^-1 * Y1^-1)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 4, 32, 9, 37, 15, 43, 19, 47, 23, 51, 26, 54, 25, 53, 11, 39, 21, 49, 18, 46, 7, 35, 5, 33)(3, 31, 8, 36, 12, 40, 20, 48, 17, 45, 6, 34, 10, 38, 16, 44, 22, 50, 24, 52, 28, 56, 27, 55, 14, 42, 13, 41)(57, 85, 59, 87, 67, 95, 80, 108, 71, 99, 73, 101, 61, 89, 69, 97, 81, 109, 78, 106, 65, 93, 76, 104, 63, 91, 70, 98, 82, 110, 72, 100, 60, 88, 68, 96, 74, 102, 83, 111, 79, 107, 66, 94, 58, 86, 64, 92, 77, 105, 84, 112, 75, 103, 62, 90)
	L = (1, 60)(2, 65)(3, 68)(4, 71)(5, 58)(6, 72)(7, 57)(8, 76)(9, 75)(10, 78)(11, 74)(12, 73)(13, 64)(14, 59)(15, 79)(16, 80)(17, 66)(18, 61)(19, 82)(20, 62)(21, 63)(22, 84)(23, 81)(24, 83)(25, 77)(26, 67)(27, 69)(28, 70)(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) :: { ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.111
Graph:: bipartite
	v = 3 e = 56 f = 3
	degree seq :: [ 28^2, 56 ]

E26.110 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y1^-1), Y1 * Y2 * Y3 * Y2, (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y1)^2, Y2^-2 * Y1^-1 * Y3^-1, (R * Y3)^2, Y2^-2 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-2 * Y1, Y1^4 * Y3, Y3^2 * Y2^-4, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1^-1, Y3^7, Y3 * Y1^-1 * Y2^3 * Y1^-1 * Y2, Y3^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 13, 41, 7, 35, 12, 40, 17, 45, 24, 52, 21, 49, 18, 46, 4, 32, 10, 38, 20, 48, 5, 33)(3, 31, 9, 37, 22, 50, 26, 54, 16, 44, 23, 51, 27, 55, 19, 47, 25, 53, 28, 56, 14, 42, 6, 34, 11, 39, 15, 43)(57, 85, 59, 87, 69, 97, 82, 110, 73, 101, 83, 111, 74, 102, 84, 112, 76, 104, 67, 95, 58, 86, 65, 93, 63, 91, 72, 100, 80, 108, 75, 103, 60, 88, 70, 98, 61, 89, 71, 99, 64, 92, 78, 106, 68, 96, 79, 107, 77, 105, 81, 109, 66, 94, 62, 90)
	L = (1, 60)(2, 66)(3, 70)(4, 73)(5, 74)(6, 75)(7, 57)(8, 76)(9, 62)(10, 80)(11, 81)(12, 58)(13, 61)(14, 83)(15, 84)(16, 59)(17, 64)(18, 68)(19, 82)(20, 77)(21, 63)(22, 67)(23, 65)(24, 69)(25, 72)(26, 71)(27, 78)(28, 79)(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) :: { ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.107
Graph:: bipartite
	v = 3 e = 56 f = 3
	degree seq :: [ 28^2, 56 ]

E26.111 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3 * Y1^-1, Y3^-1 * Y1 * Y2^-2, (Y3^-1, Y1^-1), (Y2^-1, Y1^-1), (Y2, Y3^-1), Y3^-1 * Y2^-1 * Y1 * Y2^-1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^3 * Y1^2, Y3 * Y1^-4, Y2^-1 * Y3 * Y2^-3 * Y3 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 16, 44, 4, 32, 10, 38, 21, 49, 25, 53, 15, 43, 20, 48, 7, 35, 12, 40, 18, 46, 5, 33)(3, 31, 9, 37, 19, 47, 6, 34, 11, 39, 22, 50, 28, 56, 17, 45, 24, 52, 27, 55, 14, 42, 23, 51, 26, 54, 13, 41)(57, 85, 59, 87, 68, 96, 79, 107, 71, 99, 80, 108, 66, 94, 78, 106, 64, 92, 75, 103, 61, 89, 69, 97, 63, 91, 70, 98, 81, 109, 73, 101, 60, 88, 67, 95, 58, 86, 65, 93, 74, 102, 82, 110, 76, 104, 83, 111, 77, 105, 84, 112, 72, 100, 62, 90)
	L = (1, 60)(2, 66)(3, 67)(4, 71)(5, 72)(6, 73)(7, 57)(8, 77)(9, 78)(10, 76)(11, 80)(12, 58)(13, 62)(14, 59)(15, 74)(16, 81)(17, 79)(18, 64)(19, 84)(20, 61)(21, 63)(22, 83)(23, 65)(24, 82)(25, 68)(26, 75)(27, 69)(28, 70)(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) :: { ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.109
Graph:: bipartite
	v = 3 e = 56 f = 3
	degree seq :: [ 28^2, 56 ]

E26.112 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y2, (Y3^-1, Y2), (Y1 * Y3^-1)^2, (R * Y1)^2, Y3 * Y1^-2 * Y3, (R * Y2)^2, (R * Y3)^2, Y3^7, Y2 * Y3^-2 * Y1^-1 * Y2 * Y3^-3, Y1^14, (Y3^-1 * Y1^-1)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 19, 47, 26, 54, 17, 45, 7, 35, 11, 39, 4, 32, 9, 37, 20, 48, 25, 53, 16, 44, 5, 33)(3, 31, 6, 34, 10, 38, 21, 49, 27, 55, 24, 52, 14, 42, 18, 46, 12, 40, 15, 43, 22, 50, 28, 56, 23, 51, 13, 41)(57, 85, 59, 87, 61, 89, 69, 97, 72, 100, 79, 107, 81, 109, 84, 112, 76, 104, 78, 106, 65, 93, 71, 99, 60, 88, 68, 96, 67, 95, 74, 102, 63, 91, 70, 98, 73, 101, 80, 108, 82, 110, 83, 111, 75, 103, 77, 105, 64, 92, 66, 94, 58, 86, 62, 90)
	L = (1, 60)(2, 65)(3, 68)(4, 64)(5, 67)(6, 71)(7, 57)(8, 76)(9, 75)(10, 78)(11, 58)(12, 66)(13, 74)(14, 59)(15, 77)(16, 63)(17, 61)(18, 62)(19, 81)(20, 82)(21, 84)(22, 83)(23, 70)(24, 69)(25, 73)(26, 72)(27, 79)(28, 80)(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) :: { ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.120
Graph:: bipartite
	v = 3 e = 56 f = 3
	degree seq :: [ 28^2, 56 ]

E26.113 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^2, (Y3, Y2^-1), (R * Y2)^2, (R * Y1)^2, (Y1, Y2), (R * Y3)^2, Y2 * Y3^-1 * Y2 * Y3^-1 * Y1^-1, (Y2 * Y3 * Y2)^2, Y3^7, (Y3^-1 * Y1^-1)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 4, 32, 9, 37, 15, 43, 11, 39, 22, 50, 25, 53, 27, 55, 19, 47, 21, 49, 18, 46, 7, 35, 5, 33)(3, 31, 8, 36, 12, 40, 23, 51, 26, 54, 24, 52, 28, 56, 20, 48, 17, 45, 6, 34, 10, 38, 16, 44, 14, 42, 13, 41)(57, 85, 59, 87, 67, 95, 80, 108, 77, 105, 66, 94, 58, 86, 64, 92, 78, 106, 84, 112, 74, 102, 72, 100, 60, 88, 68, 96, 81, 109, 76, 104, 63, 91, 70, 98, 65, 93, 79, 107, 83, 111, 73, 101, 61, 89, 69, 97, 71, 99, 82, 110, 75, 103, 62, 90)
	L = (1, 60)(2, 65)(3, 68)(4, 71)(5, 58)(6, 72)(7, 57)(8, 79)(9, 67)(10, 70)(11, 81)(12, 82)(13, 64)(14, 59)(15, 78)(16, 69)(17, 66)(18, 61)(19, 74)(20, 62)(21, 63)(22, 83)(23, 80)(24, 76)(25, 75)(26, 84)(27, 77)(28, 73)(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) :: { ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.119
Graph:: bipartite
	v = 3 e = 56 f = 3
	degree seq :: [ 28^2, 56 ]

E26.114 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3 * Y1, (Y3, Y2), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y1^-1, Y2), Y3^2 * Y2^-1 * Y1^-1 * Y2^-1, Y3^-2 * Y2^-4, Y3^7, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 29, 2, 30, 7, 35, 10, 38, 21, 49, 19, 47, 22, 50, 25, 53, 26, 54, 11, 39, 15, 43, 16, 44, 4, 32, 5, 33)(3, 31, 8, 36, 14, 42, 17, 45, 18, 46, 6, 34, 9, 37, 20, 48, 23, 51, 24, 52, 27, 55, 28, 56, 12, 40, 13, 41)(57, 85, 59, 87, 67, 95, 80, 108, 77, 105, 74, 102, 61, 89, 69, 97, 82, 110, 79, 107, 66, 94, 73, 101, 60, 88, 68, 96, 81, 109, 76, 104, 63, 91, 70, 98, 72, 100, 84, 112, 78, 106, 65, 93, 58, 86, 64, 92, 71, 99, 83, 111, 75, 103, 62, 90)
	L = (1, 60)(2, 61)(3, 68)(4, 71)(5, 72)(6, 73)(7, 57)(8, 69)(9, 74)(10, 58)(11, 81)(12, 83)(13, 84)(14, 59)(15, 82)(16, 67)(17, 64)(18, 70)(19, 66)(20, 62)(21, 63)(22, 77)(23, 65)(24, 76)(25, 75)(26, 78)(27, 79)(28, 80)(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) :: { ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.117
Graph:: bipartite
	v = 3 e = 56 f = 3
	degree seq :: [ 28^2, 56 ]

E26.115 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y2), Y3 * Y2^-2 * Y1^-1, (Y3, Y1^-1), Y3 * Y1^-1 * Y2^-2, (R * Y1)^2, (R * Y2)^2, Y1^-1 * Y2^-1 * Y3 * Y2^-1, (R * Y3)^2, Y1^3 * Y3^-1 * Y1, Y1 * Y3^2 * Y1 * Y3, Y2^-1 * Y3^-3 * Y1 * Y2^-1, Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 13, 41, 4, 32, 10, 38, 21, 49, 25, 53, 17, 45, 19, 47, 7, 35, 12, 40, 18, 46, 5, 33)(3, 31, 9, 37, 22, 50, 26, 54, 14, 42, 23, 51, 28, 56, 20, 48, 24, 52, 27, 55, 16, 44, 6, 34, 11, 39, 15, 43)(57, 85, 59, 87, 69, 97, 82, 110, 77, 105, 84, 112, 75, 103, 83, 111, 74, 102, 67, 95, 58, 86, 65, 93, 60, 88, 70, 98, 81, 109, 76, 104, 63, 91, 72, 100, 61, 89, 71, 99, 64, 92, 78, 106, 66, 94, 79, 107, 73, 101, 80, 108, 68, 96, 62, 90)
	L = (1, 60)(2, 66)(3, 70)(4, 73)(5, 69)(6, 65)(7, 57)(8, 77)(9, 79)(10, 75)(11, 78)(12, 58)(13, 81)(14, 80)(15, 82)(16, 59)(17, 74)(18, 64)(19, 61)(20, 62)(21, 63)(22, 84)(23, 83)(24, 67)(25, 68)(26, 76)(27, 71)(28, 72)(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) :: { ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.118
Graph:: bipartite
	v = 3 e = 56 f = 3
	degree seq :: [ 28^2, 56 ]

E26.116 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y2), Y2^-1 * Y1 * Y2^-1 * Y3, (Y3^-1, Y1^-1), Y3^-1 * Y1^-1 * Y2^2, (R * Y2)^2, (R * Y3)^2, (Y1, Y2^-1), (R * Y1)^2, Y1^4 * Y3, Y3^-1 * Y1 * Y3^-2 * Y1, Y3^-2 * Y1^-1 * Y2^-2 * Y3^-1, Y2^2 * Y1 * Y2^2 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 19, 47, 7, 35, 12, 40, 15, 43, 24, 52, 21, 49, 16, 44, 4, 32, 10, 38, 17, 45, 5, 33)(3, 31, 9, 37, 18, 46, 6, 34, 11, 39, 22, 50, 26, 54, 20, 48, 25, 53, 27, 55, 13, 41, 23, 51, 28, 56, 14, 42)(57, 85, 59, 87, 66, 94, 79, 107, 77, 105, 81, 109, 68, 96, 78, 106, 64, 92, 74, 102, 61, 89, 70, 98, 60, 88, 69, 97, 80, 108, 76, 104, 63, 91, 67, 95, 58, 86, 65, 93, 73, 101, 84, 112, 72, 100, 83, 111, 71, 99, 82, 110, 75, 103, 62, 90)
	L = (1, 60)(2, 66)(3, 69)(4, 71)(5, 72)(6, 70)(7, 57)(8, 73)(9, 79)(10, 80)(11, 59)(12, 58)(13, 82)(14, 83)(15, 64)(16, 68)(17, 77)(18, 84)(19, 61)(20, 62)(21, 63)(22, 65)(23, 76)(24, 75)(25, 67)(26, 74)(27, 78)(28, 81)(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) :: { ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.121
Graph:: bipartite
	v = 3 e = 56 f = 3
	degree seq :: [ 28^2, 56 ]

E26.117 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3 * Y1, Y1^-1 * Y2^2, (R * Y3)^2, (Y3, Y2), (R * Y2)^2, (R * Y1)^2, Y3^7, (Y1 * Y3^-3)^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 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 7, 35, 9, 37, 15, 43, 17, 45, 23, 51, 25, 53, 20, 48, 21, 49, 12, 40, 13, 41, 4, 32, 5, 33)(3, 31, 8, 36, 11, 39, 16, 44, 19, 47, 24, 52, 27, 55, 28, 56, 26, 54, 22, 50, 18, 46, 14, 42, 10, 38, 6, 34)(57, 85, 59, 87, 58, 86, 64, 92, 63, 91, 67, 95, 65, 93, 72, 100, 71, 99, 75, 103, 73, 101, 80, 108, 79, 107, 83, 111, 81, 109, 84, 112, 76, 104, 82, 110, 77, 105, 78, 106, 68, 96, 74, 102, 69, 97, 70, 98, 60, 88, 66, 94, 61, 89, 62, 90)
	L = (1, 60)(2, 61)(3, 66)(4, 68)(5, 69)(6, 70)(7, 57)(8, 62)(9, 58)(10, 74)(11, 59)(12, 76)(13, 77)(14, 78)(15, 63)(16, 64)(17, 65)(18, 82)(19, 67)(20, 79)(21, 81)(22, 84)(23, 71)(24, 72)(25, 73)(26, 83)(27, 75)(28, 80)(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) :: { ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.114
Graph:: bipartite
	v = 3 e = 56 f = 3
	degree seq :: [ 28^2, 56 ]

E26.118 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^2, Y1^-2 * Y3, (R * Y3)^2, (Y3, Y2^-1), (R * Y2)^2, (R * Y1)^2, Y3^7, (Y3^-1 * Y1^-1)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 4, 32, 8, 36, 12, 40, 16, 44, 20, 48, 24, 52, 23, 51, 22, 50, 15, 43, 14, 42, 7, 35, 5, 33)(3, 31, 6, 34, 9, 37, 13, 41, 17, 45, 21, 49, 25, 53, 28, 56, 27, 55, 26, 54, 19, 47, 18, 46, 11, 39, 10, 38)(57, 85, 59, 87, 61, 89, 66, 94, 63, 91, 67, 95, 70, 98, 74, 102, 71, 99, 75, 103, 78, 106, 82, 110, 79, 107, 83, 111, 80, 108, 84, 112, 76, 104, 81, 109, 72, 100, 77, 105, 68, 96, 73, 101, 64, 92, 69, 97, 60, 88, 65, 93, 58, 86, 62, 90)
	L = (1, 60)(2, 64)(3, 65)(4, 68)(5, 58)(6, 69)(7, 57)(8, 72)(9, 73)(10, 62)(11, 59)(12, 76)(13, 77)(14, 61)(15, 63)(16, 80)(17, 81)(18, 66)(19, 67)(20, 79)(21, 84)(22, 70)(23, 71)(24, 78)(25, 83)(26, 74)(27, 75)(28, 82)(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) :: { ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.115
Graph:: bipartite
	v = 3 e = 56 f = 3
	degree seq :: [ 28^2, 56 ]

E26.119 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3 * Y1 * Y2^-1, Y2 * Y3^-1 * Y1^-1 * Y2, Y3^-1 * Y2 * Y1^-1 * Y2, (R * Y2)^2, (R * Y1)^2, (Y2^-1, Y3^-1), (R * Y3)^2, Y2^4 * Y3, Y1^2 * Y3^-1 * Y1^2, (Y3^2 * Y1^-1)^2, Y3^7, (Y1 * Y3)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 16, 44, 4, 32, 10, 38, 21, 49, 25, 53, 15, 43, 19, 47, 7, 35, 12, 40, 17, 45, 5, 33)(3, 31, 9, 37, 22, 50, 26, 54, 13, 41, 20, 48, 24, 52, 28, 56, 18, 46, 6, 34, 11, 39, 23, 51, 27, 55, 14, 42)(57, 85, 59, 87, 66, 94, 76, 104, 63, 91, 67, 95, 58, 86, 65, 93, 77, 105, 80, 108, 68, 96, 79, 107, 64, 92, 78, 106, 81, 109, 84, 112, 73, 101, 83, 111, 72, 100, 82, 110, 71, 99, 74, 102, 61, 89, 70, 98, 60, 88, 69, 97, 75, 103, 62, 90)
	L = (1, 60)(2, 66)(3, 69)(4, 71)(5, 72)(6, 70)(7, 57)(8, 77)(9, 76)(10, 75)(11, 59)(12, 58)(13, 74)(14, 82)(15, 73)(16, 81)(17, 64)(18, 83)(19, 61)(20, 62)(21, 63)(22, 80)(23, 65)(24, 67)(25, 68)(26, 84)(27, 78)(28, 79)(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) :: { ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.113
Graph:: bipartite
	v = 3 e = 56 f = 3
	degree seq :: [ 28^2, 56 ]

E26.120 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, (Y1, Y2^-1), Y1^-1 * Y2^-1 * Y3 * Y2^-1, Y2^2 * Y3^-1 * Y1, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y1^-1 * Y3^2 * Y2, Y1 * Y3 * Y1^3, Y1^2 * Y2^-1 * Y3 * Y1 * Y3 * Y2^-1, (Y1^-1 * Y3)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 19, 47, 7, 35, 12, 40, 17, 45, 25, 53, 21, 49, 13, 41, 4, 32, 10, 38, 18, 46, 5, 33)(3, 31, 9, 37, 22, 50, 27, 55, 16, 44, 6, 34, 11, 39, 23, 51, 28, 56, 20, 48, 14, 42, 24, 52, 26, 54, 15, 43)(57, 85, 59, 87, 69, 97, 76, 104, 63, 91, 72, 100, 61, 89, 71, 99, 77, 105, 84, 112, 75, 103, 83, 111, 74, 102, 82, 110, 81, 109, 79, 107, 64, 92, 78, 106, 66, 94, 80, 108, 73, 101, 67, 95, 58, 86, 65, 93, 60, 88, 70, 98, 68, 96, 62, 90)
	L = (1, 60)(2, 66)(3, 70)(4, 73)(5, 69)(6, 65)(7, 57)(8, 74)(9, 80)(10, 81)(11, 78)(12, 58)(13, 68)(14, 67)(15, 76)(16, 59)(17, 64)(18, 77)(19, 61)(20, 62)(21, 63)(22, 82)(23, 83)(24, 79)(25, 75)(26, 84)(27, 71)(28, 72)(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) :: { ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.112
Graph:: bipartite
	v = 3 e = 56 f = 3
	degree seq :: [ 28^2, 56 ]

E26.121 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y1)^2, Y1^-1 * Y3^2 * Y1^-1, (R * Y1)^2, (Y1^-1, Y2), (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y3^-1), (Y3^-1, Y1^-1), Y1^2 * Y2^-2 * Y1, Y3^2 * Y2^-1 * Y1 * Y2^-1, Y3 * Y2^4, Y3 * Y1 * Y3 * Y2^-2, Y2^-1 * Y1^-2 * Y3^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y1^-2 * Y2^-2 * Y1^-1, Y3^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 13, 41, 25, 53, 20, 48, 7, 35, 12, 40, 4, 32, 10, 38, 24, 52, 21, 49, 18, 46, 5, 33)(3, 31, 9, 37, 23, 51, 22, 50, 28, 56, 17, 45, 16, 44, 27, 55, 14, 42, 26, 54, 19, 47, 6, 34, 11, 39, 15, 43)(57, 85, 59, 87, 69, 97, 78, 106, 63, 91, 72, 100, 66, 94, 82, 110, 74, 102, 67, 95, 58, 86, 65, 93, 81, 109, 84, 112, 68, 96, 83, 111, 80, 108, 75, 103, 61, 89, 71, 99, 64, 92, 79, 107, 76, 104, 73, 101, 60, 88, 70, 98, 77, 105, 62, 90)
	L = (1, 60)(2, 66)(3, 70)(4, 64)(5, 68)(6, 73)(7, 57)(8, 80)(9, 82)(10, 69)(11, 72)(12, 58)(13, 77)(14, 79)(15, 83)(16, 59)(17, 71)(18, 63)(19, 84)(20, 61)(21, 76)(22, 62)(23, 75)(24, 81)(25, 74)(26, 78)(27, 65)(28, 67)(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) :: { ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.116
Graph:: bipartite
	v = 3 e = 56 f = 3
	degree seq :: [ 28^2, 56 ]

E26.122 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-2, Y1 * Y3^-1 * Y1, (Y3^-1, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^7, Y1 * Y3^2 * Y2 * Y3^-3 * Y2, (Y3^3 * Y1)^2, (Y3 * Y1)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 4, 32, 9, 37, 12, 40, 17, 45, 20, 48, 25, 53, 23, 51, 21, 49, 15, 43, 13, 41, 7, 35, 5, 33)(3, 31, 8, 36, 10, 38, 16, 44, 18, 46, 24, 52, 26, 54, 28, 56, 27, 55, 22, 50, 19, 47, 14, 42, 11, 39, 6, 34)(57, 85, 59, 87, 58, 86, 64, 92, 60, 88, 66, 94, 65, 93, 72, 100, 68, 96, 74, 102, 73, 101, 80, 108, 76, 104, 82, 110, 81, 109, 84, 112, 79, 107, 83, 111, 77, 105, 78, 106, 71, 99, 75, 103, 69, 97, 70, 98, 63, 91, 67, 95, 61, 89, 62, 90)
	L = (1, 60)(2, 65)(3, 66)(4, 68)(5, 58)(6, 64)(7, 57)(8, 72)(9, 73)(10, 74)(11, 59)(12, 76)(13, 61)(14, 62)(15, 63)(16, 80)(17, 81)(18, 82)(19, 67)(20, 79)(21, 69)(22, 70)(23, 71)(24, 84)(25, 77)(26, 83)(27, 75)(28, 78)(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) :: { ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.103
Graph:: bipartite
	v = 3 e = 56 f = 3
	degree seq :: [ 28^2, 56 ]

E26.123 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^2, Y2 * Y1 * Y2, (Y2^-1, Y3^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^7, (Y3^3 * Y1^-1)^2, (Y3 * Y1^-1)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 7, 35, 9, 37, 15, 43, 17, 45, 23, 51, 25, 53, 20, 48, 21, 49, 12, 40, 13, 41, 4, 32, 5, 33)(3, 31, 6, 34, 8, 36, 14, 42, 16, 44, 22, 50, 24, 52, 28, 56, 26, 54, 27, 55, 18, 46, 19, 47, 10, 38, 11, 39)(57, 85, 59, 87, 61, 89, 67, 95, 60, 88, 66, 94, 69, 97, 75, 103, 68, 96, 74, 102, 77, 105, 83, 111, 76, 104, 82, 110, 81, 109, 84, 112, 79, 107, 80, 108, 73, 101, 78, 106, 71, 99, 72, 100, 65, 93, 70, 98, 63, 91, 64, 92, 58, 86, 62, 90)
	L = (1, 60)(2, 61)(3, 66)(4, 68)(5, 69)(6, 67)(7, 57)(8, 59)(9, 58)(10, 74)(11, 75)(12, 76)(13, 77)(14, 62)(15, 63)(16, 64)(17, 65)(18, 82)(19, 83)(20, 79)(21, 81)(22, 70)(23, 71)(24, 72)(25, 73)(26, 80)(27, 84)(28, 78)(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) :: { ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.106
Graph:: bipartite
	v = 3 e = 56 f = 3
	degree seq :: [ 28^2, 56 ]

E26.124 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y1^-1), Y1^-1 * Y2^2 * Y3, Y2 * Y1^-1 * Y2 * Y3, (Y2, Y1^-1), (R * Y2)^2, Y1 * Y2^-2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y3^3 * Y1^-2, Y3 * Y1^4, Y2^4 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 20, 48, 7, 35, 12, 40, 15, 43, 24, 52, 21, 49, 16, 44, 4, 32, 10, 38, 18, 46, 5, 33)(3, 31, 9, 37, 22, 50, 27, 55, 14, 42, 17, 45, 25, 53, 28, 56, 19, 47, 6, 34, 11, 39, 23, 51, 26, 54, 13, 41)(57, 85, 59, 87, 68, 96, 73, 101, 60, 88, 67, 95, 58, 86, 65, 93, 71, 99, 81, 109, 66, 94, 79, 107, 64, 92, 78, 106, 80, 108, 84, 112, 74, 102, 82, 110, 76, 104, 83, 111, 77, 105, 75, 103, 61, 89, 69, 97, 63, 91, 70, 98, 72, 100, 62, 90)
	L = (1, 60)(2, 66)(3, 67)(4, 71)(5, 72)(6, 73)(7, 57)(8, 74)(9, 79)(10, 80)(11, 81)(12, 58)(13, 62)(14, 59)(15, 64)(16, 68)(17, 65)(18, 77)(19, 70)(20, 61)(21, 63)(22, 82)(23, 84)(24, 76)(25, 78)(26, 75)(27, 69)(28, 83)(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) :: { ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.104
Graph:: bipartite
	v = 3 e = 56 f = 3
	degree seq :: [ 28^2, 56 ]

E26.125 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1, Y2), Y1 * Y2 * Y3 * Y2, (R * Y3)^2, Y2^-2 * Y1^-1 * Y3^-1, (R * Y1)^2, (Y1, Y3), (R * Y2)^2, Y1^-1 * Y2^2 * Y3^-2, Y1 * Y3^-1 * Y1^3, Y1^-1 * Y2^-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 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 18, 46, 4, 32, 10, 38, 21, 49, 25, 53, 17, 45, 13, 41, 7, 35, 12, 40, 20, 48, 5, 33)(3, 31, 9, 37, 22, 50, 27, 55, 14, 42, 6, 34, 11, 39, 23, 51, 26, 54, 19, 47, 16, 44, 24, 52, 28, 56, 15, 43)(57, 85, 59, 87, 69, 97, 75, 103, 60, 88, 70, 98, 61, 89, 71, 99, 73, 101, 82, 110, 74, 102, 83, 111, 76, 104, 84, 112, 81, 109, 79, 107, 64, 92, 78, 106, 68, 96, 80, 108, 77, 105, 67, 95, 58, 86, 65, 93, 63, 91, 72, 100, 66, 94, 62, 90)
	L = (1, 60)(2, 66)(3, 70)(4, 73)(5, 74)(6, 75)(7, 57)(8, 77)(9, 62)(10, 69)(11, 72)(12, 58)(13, 61)(14, 82)(15, 83)(16, 59)(17, 76)(18, 81)(19, 71)(20, 64)(21, 63)(22, 67)(23, 80)(24, 65)(25, 68)(26, 84)(27, 79)(28, 78)(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) :: { ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.105
Graph:: bipartite
	v = 3 e = 56 f = 3
	degree seq :: [ 28^2, 56 ]

E26.126 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^2, (R * Y1)^2, (Y3^-1, Y1^-1), (Y2^-1, Y1^-1), (Y2^-1, Y3^-1), (R * Y3)^2, (R * Y2)^2, Y3 * Y1 * Y2 * Y3 * Y2, Y2 * Y3^-1 * Y2^3, Y3^2 * Y2^2 * Y1, Y1^28 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 21, 49, 27, 55, 20, 48, 7, 35, 12, 40, 4, 32, 10, 38, 23, 51, 13, 41, 18, 46, 5, 33)(3, 31, 9, 37, 19, 47, 6, 34, 11, 39, 24, 52, 16, 44, 25, 53, 14, 42, 22, 50, 28, 56, 17, 45, 26, 54, 15, 43)(57, 85, 59, 87, 69, 97, 73, 101, 60, 88, 70, 98, 76, 104, 80, 108, 64, 92, 75, 103, 61, 89, 71, 99, 79, 107, 84, 112, 68, 96, 81, 109, 83, 111, 67, 95, 58, 86, 65, 93, 74, 102, 82, 110, 66, 94, 78, 106, 63, 91, 72, 100, 77, 105, 62, 90)
	L = (1, 60)(2, 66)(3, 70)(4, 64)(5, 68)(6, 73)(7, 57)(8, 79)(9, 78)(10, 77)(11, 82)(12, 58)(13, 76)(14, 75)(15, 81)(16, 59)(17, 80)(18, 63)(19, 84)(20, 61)(21, 69)(22, 62)(23, 83)(24, 71)(25, 65)(26, 72)(27, 74)(28, 67)(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) :: { ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.102
Graph:: bipartite
	v = 3 e = 56 f = 3
	degree seq :: [ 28^2, 56 ]

E26.127 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^2 * Y3^-1, Y3 * Y1^-1 * Y2^-1 * Y1^-1, Y2^2 * Y1^-1 * Y2, (Y1, Y3^-1), (Y1, Y2), Y3^4, Y3 * Y2^-1 * Y1^-2, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^-1 * Y2^-1 * Y1^-1 * Y3^-2 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 19, 47, 27, 55, 25, 53, 17, 45, 7, 35, 12, 40, 6, 34, 11, 39, 21, 49, 13, 41, 22, 50, 16, 44, 23, 51, 18, 46, 24, 52, 14, 42, 3, 31, 9, 37, 4, 32, 10, 38, 20, 48, 28, 56, 26, 54, 15, 43, 5, 33)(57, 85, 59, 87, 67, 95, 58, 86, 65, 93, 77, 105, 64, 92, 60, 88, 69, 97, 75, 103, 66, 94, 78, 106, 83, 111, 76, 104, 72, 100, 81, 109, 84, 112, 79, 107, 73, 101, 82, 110, 74, 102, 63, 91, 71, 99, 80, 108, 68, 96, 61, 89, 70, 98, 62, 90)
	L = (1, 60)(2, 66)(3, 69)(4, 72)(5, 65)(6, 64)(7, 57)(8, 76)(9, 78)(10, 79)(11, 75)(12, 58)(13, 81)(14, 77)(15, 59)(16, 63)(17, 61)(18, 62)(19, 84)(20, 74)(21, 83)(22, 73)(23, 68)(24, 67)(25, 71)(26, 70)(27, 82)(28, 80)(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) :: { ( 28^56 ) }
Outer automorphisms :: reflexible
Dual of E26.92
Graph:: bipartite
	v = 2 e = 56 f = 4
	degree seq :: [ 56^2 ]

E26.128 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y2^-1), (R * Y1)^2, Y2 * Y1^-1 * Y2 * Y3^-1, Y2^2 * Y1^-1 * Y3^-1, (Y3^-1, Y1), (Y2^-1, Y1), Y3^4, (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y1 * Y2^-1 * Y1 * Y3^-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 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 21, 49, 13, 41, 26, 54, 19, 47, 7, 35, 12, 40, 25, 53, 14, 42, 3, 31, 9, 37, 22, 50, 15, 43, 27, 55, 18, 46, 6, 34, 11, 39, 24, 52, 16, 44, 4, 32, 10, 38, 23, 51, 20, 48, 28, 56, 17, 45, 5, 33)(57, 85, 59, 87, 66, 94, 82, 110, 74, 102, 61, 89, 70, 98, 60, 88, 69, 97, 83, 111, 73, 101, 81, 109, 72, 100, 77, 105, 71, 99, 84, 112, 68, 96, 80, 108, 64, 92, 78, 106, 76, 104, 63, 91, 67, 95, 58, 86, 65, 93, 79, 107, 75, 103, 62, 90)
	L = (1, 60)(2, 66)(3, 69)(4, 71)(5, 72)(6, 70)(7, 57)(8, 79)(9, 82)(10, 83)(11, 59)(12, 58)(13, 84)(14, 77)(15, 63)(16, 78)(17, 80)(18, 81)(19, 61)(20, 62)(21, 76)(22, 75)(23, 74)(24, 65)(25, 64)(26, 73)(27, 68)(28, 67)(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) :: { ( 28^56 ) }
Outer automorphisms :: reflexible
Dual of E26.93
Graph:: bipartite
	v = 2 e = 56 f = 4
	degree seq :: [ 56^2 ]

E26.129 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y1^-1 * Y2 * Y1^-2, Y2^-1 * Y1^-1 * Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y3^-7 * Y1 * Y2^2, Y3^4 * Y1^-1 * Y2^-5, Y1^-1 * Y2^19, (Y3 * Y2^-1)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 6, 34, 3, 31, 7, 35, 12, 40, 9, 37, 13, 41, 18, 46, 15, 43, 19, 47, 24, 52, 21, 49, 25, 53, 28, 56, 27, 55, 22, 50, 26, 54, 23, 51, 16, 44, 20, 48, 17, 45, 10, 38, 14, 42, 11, 39, 4, 32, 8, 36, 5, 33)(57, 85, 59, 87, 65, 93, 71, 99, 77, 105, 83, 111, 79, 107, 73, 101, 67, 95, 61, 89, 62, 90, 68, 96, 74, 102, 80, 108, 84, 112, 82, 110, 76, 104, 70, 98, 64, 92, 58, 86, 63, 91, 69, 97, 75, 103, 81, 109, 78, 106, 72, 100, 66, 94, 60, 88)
	L = (1, 60)(2, 64)(3, 57)(4, 66)(5, 67)(6, 61)(7, 58)(8, 70)(9, 59)(10, 72)(11, 73)(12, 62)(13, 63)(14, 76)(15, 65)(16, 78)(17, 79)(18, 68)(19, 69)(20, 82)(21, 71)(22, 81)(23, 83)(24, 74)(25, 75)(26, 84)(27, 77)(28, 80)(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) :: { ( 28^56 ) }
Outer automorphisms :: reflexible
Dual of E26.95
Graph:: bipartite
	v = 2 e = 56 f = 4
	degree seq :: [ 56^2 ]

E26.130 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, (Y2^-1, Y1^-1), (Y3^-1, Y1^-1), (Y1^-1, Y2), (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1^-1 * Y2^-1 * Y1, Y1^-1 * Y3^-1 * Y1 * Y2^-1, Y1^-1 * Y2^-1 * Y1^-4, Y1^2 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3^2, Y3^4 * Y1^-1 * Y3^2 * Y1^-1, Y2^4 * Y1^-1 * Y2 * Y1^-2, Y3 * Y2^-2 * Y1^-1 * Y2^-3 * Y1^-1, Y1^-1 * Y2^-3 * Y1 * Y2^-3 * Y1 * Y2^-3 * Y1 * Y2^-3 * Y1 * Y2^-3 * Y1 * Y2^-3 * Y3^-1 * Y2, (Y1^2 * Y2^-1 * Y1)^7, (Y3 * Y2^-1)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 6, 34, 14, 42, 12, 40, 4, 32, 8, 36, 16, 44, 24, 52, 23, 51, 11, 39, 18, 46, 26, 54, 19, 47, 27, 55, 22, 50, 28, 56, 20, 48, 9, 37, 17, 45, 25, 53, 21, 49, 10, 38, 3, 31, 7, 35, 15, 43, 13, 41, 5, 33)(57, 85, 59, 87, 65, 93, 75, 103, 80, 108, 70, 98, 69, 97, 77, 105, 84, 112, 74, 102, 64, 92, 58, 86, 63, 91, 73, 101, 83, 111, 79, 107, 68, 96, 61, 89, 66, 94, 76, 104, 82, 110, 72, 100, 62, 90, 71, 99, 81, 109, 78, 106, 67, 95, 60, 88)
	L = (1, 60)(2, 64)(3, 57)(4, 67)(5, 68)(6, 72)(7, 58)(8, 74)(9, 59)(10, 61)(11, 78)(12, 79)(13, 70)(14, 80)(15, 62)(16, 82)(17, 63)(18, 84)(19, 65)(20, 66)(21, 69)(22, 81)(23, 83)(24, 75)(25, 71)(26, 76)(27, 73)(28, 77)(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) :: { ( 28^56 ) }
Outer automorphisms :: reflexible
Dual of E26.94
Graph:: bipartite
	v = 2 e = 56 f = 4
	degree seq :: [ 56^2 ]

E26.131 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {10, 10, 15, 15})
Quotient :: edge^2
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2^-1 * Y3 * Y1^-1, Y3^3 * Y1^2, Y2^10, Y1^10 ]
Map:: non-degenerate
	R = (1, 31, 3, 33, 10, 40, 12, 42, 19, 49, 28, 58, 30, 60, 24, 54, 18, 48, 26, 56, 27, 57, 17, 47, 6, 36, 15, 45, 5, 35)(2, 32, 7, 37, 13, 43, 4, 34, 11, 41, 22, 52, 23, 53, 14, 44, 25, 55, 29, 59, 21, 51, 9, 39, 16, 46, 20, 50, 8, 38)(61, 62, 66, 76, 86, 89, 90, 83, 72, 64)(63, 69, 75, 85, 87, 82, 84, 73, 79, 68)(65, 71, 77, 67, 78, 80, 88, 81, 70, 74)(91, 92, 96, 106, 116, 119, 120, 113, 102, 94)(93, 99, 105, 115, 117, 112, 114, 103, 109, 98)(95, 101, 107, 97, 108, 110, 118, 111, 100, 104)
	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) :: { ( 60^10 ), ( 60^30 ) }
Outer automorphisms :: reflexible
Dual of E26.139
Graph:: bipartite
	v = 8 e = 60 f = 2
	degree seq :: [ 10^6, 30^2 ]

E26.132 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {10, 10, 15, 15})
Quotient :: edge^2
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, (Y3 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^2 * Y2^-1 * Y1^-1 * Y3, Y1^2 * Y3^-1 * Y1^-2 * Y3, Y2^10, (Y1 * Y2)^5, Y1^10, Y3 * 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 * 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, 31, 3, 33, 10, 40, 6, 36, 17, 47, 27, 57, 26, 56, 20, 50, 24, 54, 30, 60, 28, 58, 19, 49, 13, 43, 15, 45, 5, 35)(2, 32, 7, 37, 18, 48, 16, 46, 14, 44, 25, 55, 29, 59, 22, 52, 11, 41, 23, 53, 21, 51, 9, 39, 4, 34, 12, 42, 8, 38)(61, 62, 66, 76, 86, 89, 90, 83, 73, 64)(63, 69, 77, 68, 80, 78, 88, 85, 75, 71)(65, 74, 70, 82, 87, 81, 84, 72, 79, 67)(91, 92, 96, 106, 116, 119, 120, 113, 103, 94)(93, 99, 107, 98, 110, 108, 118, 115, 105, 101)(95, 104, 100, 112, 117, 111, 114, 102, 109, 97)
	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) :: { ( 60^10 ), ( 60^30 ) }
Outer automorphisms :: reflexible
Dual of E26.138
Graph:: bipartite
	v = 8 e = 60 f = 2
	degree seq :: [ 10^6, 30^2 ]

E26.133 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {10, 10, 15, 15})
Quotient :: edge^2
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y1, Y1 * Y3 * Y2 * Y3^-2, Y1^-1 * Y3^-1 * Y2^-1 * Y3^2, (Y3^2 * Y1)^2, Y3 * Y2 * Y3^2 * Y1 * Y3, Y1^-2 * Y3 * Y2^-1 * Y3 * Y1^-1, Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3^-1, Y2^10, Y3^15 ]
Map:: non-degenerate
	R = (1, 31, 3, 33, 10, 40, 27, 57, 24, 54, 20, 50, 6, 36, 19, 49, 29, 59, 13, 43, 23, 53, 22, 52, 30, 60, 17, 47, 5, 35)(2, 32, 7, 37, 21, 51, 28, 58, 15, 45, 11, 41, 18, 48, 26, 56, 14, 44, 4, 34, 12, 42, 9, 39, 25, 55, 16, 46, 8, 38)(61, 62, 66, 78, 90, 85, 87, 88, 73, 64)(63, 69, 79, 81, 77, 74, 84, 68, 83, 71)(65, 75, 80, 72, 82, 67, 70, 86, 89, 76)(91, 92, 96, 108, 120, 115, 117, 118, 103, 94)(93, 99, 109, 111, 107, 104, 114, 98, 113, 101)(95, 105, 110, 102, 112, 97, 100, 116, 119, 106)
	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) :: { ( 60^10 ), ( 60^30 ) }
Outer automorphisms :: reflexible
Dual of E26.137
Graph:: bipartite
	v = 8 e = 60 f = 2
	degree seq :: [ 10^6, 30^2 ]

E26.134 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {10, 10, 15, 15})
Quotient :: edge^2
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^2 * Y2^-1, R * Y2 * R * Y1, (Y2^-1, Y1^-1), (Y3 * Y2^-1)^2, Y3 * Y2 * Y3^-1 * Y1^-1, (R * Y3)^2, Y3^2 * Y1^-1 * Y2^-1, Y2^3 * Y3^2, Y1 * Y3^2 * Y1^2, Y2 * Y1^-1 * Y2^2 * Y1^-2, (Y2 * Y1)^5, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 31, 4, 34, 9, 39, 24, 54, 25, 55, 30, 60, 22, 52, 29, 59, 18, 48, 7, 37)(2, 32, 10, 40, 17, 47, 28, 58, 15, 45, 27, 57, 13, 43, 21, 51, 6, 36, 12, 42)(3, 33, 14, 44, 20, 50, 26, 56, 11, 41, 23, 53, 8, 38, 19, 49, 5, 35, 16, 46)(61, 62, 68, 78, 66, 71, 82, 73, 80, 85, 75, 63, 69, 77, 65)(64, 74, 81, 67, 76, 87, 89, 79, 88, 90, 83, 70, 84, 86, 72)(91, 93, 103, 108, 95, 105, 112, 98, 107, 115, 101, 92, 99, 110, 96)(94, 100, 109, 97, 102, 113, 119, 111, 116, 120, 117, 104, 114, 118, 106)
	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) :: { ( 40^15 ), ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E26.142
Graph:: bipartite
	v = 7 e = 60 f = 3
	degree seq :: [ 15^4, 20^3 ]

E26.135 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {10, 10, 15, 15})
Quotient :: edge^2
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2 * Y1, Y1^-1 * Y3^-2 * Y2^-1, (Y2^-1, Y1^-1), (Y2 * Y3)^2, Y3 * Y2 * Y3^-1 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y3 * Y1^-1 * Y3^-1, Y2 * Y3^-2 * Y2^2, Y1^2 * Y3^-1 * Y2 * Y3^-1, Y1^-1 * Y2^-1 * Y1^-3, Y2 * Y1^-1 * Y2^2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 31, 4, 34, 17, 47, 29, 59, 23, 53, 30, 60, 26, 56, 24, 54, 9, 39, 7, 37)(2, 32, 10, 40, 6, 36, 18, 48, 13, 43, 27, 57, 15, 45, 28, 58, 20, 50, 12, 42)(3, 33, 14, 44, 5, 35, 19, 49, 8, 38, 22, 52, 11, 41, 25, 55, 21, 51, 16, 46)(61, 62, 68, 77, 66, 71, 83, 73, 81, 86, 75, 63, 69, 80, 65)(64, 74, 87, 89, 79, 88, 90, 82, 72, 84, 85, 70, 67, 76, 78)(91, 93, 103, 107, 95, 105, 113, 98, 110, 116, 101, 92, 99, 111, 96)(94, 100, 112, 119, 108, 115, 120, 117, 106, 114, 118, 104, 97, 102, 109)
	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) :: { ( 40^15 ), ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E26.141
Graph:: bipartite
	v = 7 e = 60 f = 3
	degree seq :: [ 15^4, 20^3 ]

E26.136 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {10, 10, 15, 15})
Quotient :: edge^2
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, R * Y1 * R * Y2, Y3 * Y2^-1 * Y3^-1 * Y1, (Y2^-1, Y1), Y3^-1 * Y2 * Y3 * Y1^-1, (R * Y3)^2, Y3^-1 * Y1^-1 * Y2 * Y1^-1 * Y3^-1, Y2^4 * Y1, Y3 * Y2 * Y1^-1 * Y3 * Y1, Y2 * Y1^4, Y3^-1 * Y2 * Y3^-1 * Y2^-2, (Y1^-1 * Y3 * Y1^-1)^2, (Y2^-2 * Y3)^2, Y3^10 ]
Map:: non-degenerate
	R = (1, 31, 4, 34, 17, 47, 30, 60, 21, 51, 28, 58, 9, 39, 27, 57, 25, 55, 7, 37)(2, 32, 10, 40, 15, 45, 24, 54, 6, 36, 18, 48, 20, 50, 29, 59, 13, 43, 12, 42)(3, 33, 14, 44, 11, 41, 22, 52, 5, 35, 19, 49, 23, 53, 26, 56, 8, 38, 16, 46)(61, 62, 68, 81, 66, 71, 85, 73, 83, 77, 75, 63, 69, 80, 65)(64, 74, 72, 88, 79, 84, 67, 76, 89, 90, 82, 70, 87, 86, 78)(91, 93, 103, 111, 95, 105, 115, 98, 110, 107, 101, 92, 99, 113, 96)(94, 100, 106, 118, 108, 112, 97, 102, 116, 120, 114, 104, 117, 119, 109)
	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) :: { ( 40^15 ), ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E26.140
Graph:: bipartite
	v = 7 e = 60 f = 3
	degree seq :: [ 15^4, 20^3 ]

E26.137 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {10, 10, 15, 15})
Quotient :: loop^2
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2^-1 * Y3 * Y1^-1, Y3^3 * Y1^2, Y2^10, Y1^10 ]
Map:: non-degenerate
	R = (1, 31, 61, 91, 3, 33, 63, 93, 10, 40, 70, 100, 12, 42, 72, 102, 19, 49, 79, 109, 28, 58, 88, 118, 30, 60, 90, 120, 24, 54, 84, 114, 18, 48, 78, 108, 26, 56, 86, 116, 27, 57, 87, 117, 17, 47, 77, 107, 6, 36, 66, 96, 15, 45, 75, 105, 5, 35, 65, 95)(2, 32, 62, 92, 7, 37, 67, 97, 13, 43, 73, 103, 4, 34, 64, 94, 11, 41, 71, 101, 22, 52, 82, 112, 23, 53, 83, 113, 14, 44, 74, 104, 25, 55, 85, 115, 29, 59, 89, 119, 21, 51, 81, 111, 9, 39, 69, 99, 16, 46, 76, 106, 20, 50, 80, 110, 8, 38, 68, 98)
	L = (1, 32)(2, 36)(3, 39)(4, 31)(5, 41)(6, 46)(7, 48)(8, 33)(9, 45)(10, 44)(11, 47)(12, 34)(13, 49)(14, 35)(15, 55)(16, 56)(17, 37)(18, 50)(19, 38)(20, 58)(21, 40)(22, 54)(23, 42)(24, 43)(25, 57)(26, 59)(27, 52)(28, 51)(29, 60)(30, 53)(61, 92)(62, 96)(63, 99)(64, 91)(65, 101)(66, 106)(67, 108)(68, 93)(69, 105)(70, 104)(71, 107)(72, 94)(73, 109)(74, 95)(75, 115)(76, 116)(77, 97)(78, 110)(79, 98)(80, 118)(81, 100)(82, 114)(83, 102)(84, 103)(85, 117)(86, 119)(87, 112)(88, 111)(89, 120)(90, 113)
	local type(s) :: { ( 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30 ) }
Outer automorphisms :: reflexible
Dual of E26.133
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 60 f = 8
	degree seq :: [ 60^2 ]

E26.138 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {10, 10, 15, 15})
Quotient :: loop^2
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, (Y3 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^2 * Y2^-1 * Y1^-1 * Y3, Y1^2 * Y3^-1 * Y1^-2 * Y3, Y2^10, (Y1 * Y2)^5, Y1^10, Y3 * 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 * 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, 31, 61, 91, 3, 33, 63, 93, 10, 40, 70, 100, 6, 36, 66, 96, 17, 47, 77, 107, 27, 57, 87, 117, 26, 56, 86, 116, 20, 50, 80, 110, 24, 54, 84, 114, 30, 60, 90, 120, 28, 58, 88, 118, 19, 49, 79, 109, 13, 43, 73, 103, 15, 45, 75, 105, 5, 35, 65, 95)(2, 32, 62, 92, 7, 37, 67, 97, 18, 48, 78, 108, 16, 46, 76, 106, 14, 44, 74, 104, 25, 55, 85, 115, 29, 59, 89, 119, 22, 52, 82, 112, 11, 41, 71, 101, 23, 53, 83, 113, 21, 51, 81, 111, 9, 39, 69, 99, 4, 34, 64, 94, 12, 42, 72, 102, 8, 38, 68, 98)
	L = (1, 32)(2, 36)(3, 39)(4, 31)(5, 44)(6, 46)(7, 35)(8, 50)(9, 47)(10, 52)(11, 33)(12, 49)(13, 34)(14, 40)(15, 41)(16, 56)(17, 38)(18, 58)(19, 37)(20, 48)(21, 54)(22, 57)(23, 43)(24, 42)(25, 45)(26, 59)(27, 51)(28, 55)(29, 60)(30, 53)(61, 92)(62, 96)(63, 99)(64, 91)(65, 104)(66, 106)(67, 95)(68, 110)(69, 107)(70, 112)(71, 93)(72, 109)(73, 94)(74, 100)(75, 101)(76, 116)(77, 98)(78, 118)(79, 97)(80, 108)(81, 114)(82, 117)(83, 103)(84, 102)(85, 105)(86, 119)(87, 111)(88, 115)(89, 120)(90, 113)
	local type(s) :: { ( 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30 ) }
Outer automorphisms :: reflexible
Dual of E26.132
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 60 f = 8
	degree seq :: [ 60^2 ]

E26.139 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {10, 10, 15, 15})
Quotient :: loop^2
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y1, Y1 * Y3 * Y2 * Y3^-2, Y1^-1 * Y3^-1 * Y2^-1 * Y3^2, (Y3^2 * Y1)^2, Y3 * Y2 * Y3^2 * Y1 * Y3, Y1^-2 * Y3 * Y2^-1 * Y3 * Y1^-1, Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3^-1, Y2^10, Y3^15 ]
Map:: non-degenerate
	R = (1, 31, 61, 91, 3, 33, 63, 93, 10, 40, 70, 100, 27, 57, 87, 117, 24, 54, 84, 114, 20, 50, 80, 110, 6, 36, 66, 96, 19, 49, 79, 109, 29, 59, 89, 119, 13, 43, 73, 103, 23, 53, 83, 113, 22, 52, 82, 112, 30, 60, 90, 120, 17, 47, 77, 107, 5, 35, 65, 95)(2, 32, 62, 92, 7, 37, 67, 97, 21, 51, 81, 111, 28, 58, 88, 118, 15, 45, 75, 105, 11, 41, 71, 101, 18, 48, 78, 108, 26, 56, 86, 116, 14, 44, 74, 104, 4, 34, 64, 94, 12, 42, 72, 102, 9, 39, 69, 99, 25, 55, 85, 115, 16, 46, 76, 106, 8, 38, 68, 98)
	L = (1, 32)(2, 36)(3, 39)(4, 31)(5, 45)(6, 48)(7, 40)(8, 53)(9, 49)(10, 56)(11, 33)(12, 52)(13, 34)(14, 54)(15, 50)(16, 35)(17, 44)(18, 60)(19, 51)(20, 42)(21, 47)(22, 37)(23, 41)(24, 38)(25, 57)(26, 59)(27, 58)(28, 43)(29, 46)(30, 55)(61, 92)(62, 96)(63, 99)(64, 91)(65, 105)(66, 108)(67, 100)(68, 113)(69, 109)(70, 116)(71, 93)(72, 112)(73, 94)(74, 114)(75, 110)(76, 95)(77, 104)(78, 120)(79, 111)(80, 102)(81, 107)(82, 97)(83, 101)(84, 98)(85, 117)(86, 119)(87, 118)(88, 103)(89, 106)(90, 115)
	local type(s) :: { ( 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30 ) }
Outer automorphisms :: reflexible
Dual of E26.131
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 60 f = 8
	degree seq :: [ 60^2 ]

E26.140 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {10, 10, 15, 15})
Quotient :: loop^2
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^2 * Y2^-1, R * Y2 * R * Y1, (Y2^-1, Y1^-1), (Y3 * Y2^-1)^2, Y3 * Y2 * Y3^-1 * Y1^-1, (R * Y3)^2, Y3^2 * Y1^-1 * Y2^-1, Y2^3 * Y3^2, Y1 * Y3^2 * Y1^2, Y2 * Y1^-1 * Y2^2 * Y1^-2, (Y2 * Y1)^5, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 31, 61, 91, 4, 34, 64, 94, 9, 39, 69, 99, 24, 54, 84, 114, 25, 55, 85, 115, 30, 60, 90, 120, 22, 52, 82, 112, 29, 59, 89, 119, 18, 48, 78, 108, 7, 37, 67, 97)(2, 32, 62, 92, 10, 40, 70, 100, 17, 47, 77, 107, 28, 58, 88, 118, 15, 45, 75, 105, 27, 57, 87, 117, 13, 43, 73, 103, 21, 51, 81, 111, 6, 36, 66, 96, 12, 42, 72, 102)(3, 33, 63, 93, 14, 44, 74, 104, 20, 50, 80, 110, 26, 56, 86, 116, 11, 41, 71, 101, 23, 53, 83, 113, 8, 38, 68, 98, 19, 49, 79, 109, 5, 35, 65, 95, 16, 46, 76, 106)
	L = (1, 32)(2, 38)(3, 39)(4, 44)(5, 31)(6, 41)(7, 46)(8, 48)(9, 47)(10, 54)(11, 52)(12, 34)(13, 50)(14, 51)(15, 33)(16, 57)(17, 35)(18, 36)(19, 58)(20, 55)(21, 37)(22, 43)(23, 40)(24, 56)(25, 45)(26, 42)(27, 59)(28, 60)(29, 49)(30, 53)(61, 93)(62, 99)(63, 103)(64, 100)(65, 105)(66, 91)(67, 102)(68, 107)(69, 110)(70, 109)(71, 92)(72, 113)(73, 108)(74, 114)(75, 112)(76, 94)(77, 115)(78, 95)(79, 97)(80, 96)(81, 116)(82, 98)(83, 119)(84, 118)(85, 101)(86, 120)(87, 104)(88, 106)(89, 111)(90, 117)
	local type(s) :: { ( 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.136
Transitivity :: VT+
Graph::
	v = 3 e = 60 f = 7
	degree seq :: [ 40^3 ]

E26.141 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {10, 10, 15, 15})
Quotient :: loop^2
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2 * Y1, Y1^-1 * Y3^-2 * Y2^-1, (Y2^-1, Y1^-1), (Y2 * Y3)^2, Y3 * Y2 * Y3^-1 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y3 * Y1^-1 * Y3^-1, Y2 * Y3^-2 * Y2^2, Y1^2 * Y3^-1 * Y2 * Y3^-1, Y1^-1 * Y2^-1 * Y1^-3, Y2 * Y1^-1 * Y2^2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 31, 61, 91, 4, 34, 64, 94, 17, 47, 77, 107, 29, 59, 89, 119, 23, 53, 83, 113, 30, 60, 90, 120, 26, 56, 86, 116, 24, 54, 84, 114, 9, 39, 69, 99, 7, 37, 67, 97)(2, 32, 62, 92, 10, 40, 70, 100, 6, 36, 66, 96, 18, 48, 78, 108, 13, 43, 73, 103, 27, 57, 87, 117, 15, 45, 75, 105, 28, 58, 88, 118, 20, 50, 80, 110, 12, 42, 72, 102)(3, 33, 63, 93, 14, 44, 74, 104, 5, 35, 65, 95, 19, 49, 79, 109, 8, 38, 68, 98, 22, 52, 82, 112, 11, 41, 71, 101, 25, 55, 85, 115, 21, 51, 81, 111, 16, 46, 76, 106)
	L = (1, 32)(2, 38)(3, 39)(4, 44)(5, 31)(6, 41)(7, 46)(8, 47)(9, 50)(10, 37)(11, 53)(12, 54)(13, 51)(14, 57)(15, 33)(16, 48)(17, 36)(18, 34)(19, 58)(20, 35)(21, 56)(22, 42)(23, 43)(24, 55)(25, 40)(26, 45)(27, 59)(28, 60)(29, 49)(30, 52)(61, 93)(62, 99)(63, 103)(64, 100)(65, 105)(66, 91)(67, 102)(68, 110)(69, 111)(70, 112)(71, 92)(72, 109)(73, 107)(74, 97)(75, 113)(76, 114)(77, 95)(78, 115)(79, 94)(80, 116)(81, 96)(82, 119)(83, 98)(84, 118)(85, 120)(86, 101)(87, 106)(88, 104)(89, 108)(90, 117)
	local type(s) :: { ( 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.135
Transitivity :: VT+
Graph::
	v = 3 e = 60 f = 7
	degree seq :: [ 40^3 ]

E26.142 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {10, 10, 15, 15})
Quotient :: loop^2
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, R * Y1 * R * Y2, Y3 * Y2^-1 * Y3^-1 * Y1, (Y2^-1, Y1), Y3^-1 * Y2 * Y3 * Y1^-1, (R * Y3)^2, Y3^-1 * Y1^-1 * Y2 * Y1^-1 * Y3^-1, Y2^4 * Y1, Y3 * Y2 * Y1^-1 * Y3 * Y1, Y2 * Y1^4, Y3^-1 * Y2 * Y3^-1 * Y2^-2, (Y1^-1 * Y3 * Y1^-1)^2, (Y2^-2 * Y3)^2, Y3^10 ]
Map:: non-degenerate
	R = (1, 31, 61, 91, 4, 34, 64, 94, 17, 47, 77, 107, 30, 60, 90, 120, 21, 51, 81, 111, 28, 58, 88, 118, 9, 39, 69, 99, 27, 57, 87, 117, 25, 55, 85, 115, 7, 37, 67, 97)(2, 32, 62, 92, 10, 40, 70, 100, 15, 45, 75, 105, 24, 54, 84, 114, 6, 36, 66, 96, 18, 48, 78, 108, 20, 50, 80, 110, 29, 59, 89, 119, 13, 43, 73, 103, 12, 42, 72, 102)(3, 33, 63, 93, 14, 44, 74, 104, 11, 41, 71, 101, 22, 52, 82, 112, 5, 35, 65, 95, 19, 49, 79, 109, 23, 53, 83, 113, 26, 56, 86, 116, 8, 38, 68, 98, 16, 46, 76, 106)
	L = (1, 32)(2, 38)(3, 39)(4, 44)(5, 31)(6, 41)(7, 46)(8, 51)(9, 50)(10, 57)(11, 55)(12, 58)(13, 53)(14, 42)(15, 33)(16, 59)(17, 45)(18, 34)(19, 54)(20, 35)(21, 36)(22, 40)(23, 47)(24, 37)(25, 43)(26, 48)(27, 56)(28, 49)(29, 60)(30, 52)(61, 93)(62, 99)(63, 103)(64, 100)(65, 105)(66, 91)(67, 102)(68, 110)(69, 113)(70, 106)(71, 92)(72, 116)(73, 111)(74, 117)(75, 115)(76, 118)(77, 101)(78, 112)(79, 94)(80, 107)(81, 95)(82, 97)(83, 96)(84, 104)(85, 98)(86, 120)(87, 119)(88, 108)(89, 109)(90, 114)
	local type(s) :: { ( 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.134
Transitivity :: VT+
Graph::
	v = 3 e = 60 f = 7
	degree seq :: [ 40^3 ]

E26.143 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|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 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y2^3 * Y1^2, (R * Y2 * Y3^-1)^2, Y1^10, (Y3^-1 * Y1^-1)^10, (Y3 * Y2^-1)^15 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 16, 46, 26, 56, 29, 59, 30, 60, 23, 53, 12, 42, 4, 34)(3, 33, 9, 39, 15, 45, 25, 55, 27, 57, 22, 52, 24, 54, 13, 43, 19, 49, 8, 38)(5, 35, 11, 41, 17, 47, 7, 37, 18, 48, 20, 50, 28, 58, 21, 51, 10, 40, 14, 44)(61, 91, 63, 93, 70, 100, 72, 102, 79, 109, 88, 118, 90, 120, 84, 114, 78, 108, 86, 116, 87, 117, 77, 107, 66, 96, 75, 105, 65, 95)(62, 92, 67, 97, 73, 103, 64, 94, 71, 101, 82, 112, 83, 113, 74, 104, 85, 115, 89, 119, 81, 111, 69, 99, 76, 106, 80, 110, 68, 98)
	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) :: { ( 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 selfdual
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.144 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|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^-1)^2, (R * Y1)^2, Y2^2 * Y1^-2 * Y2, (R * Y2 * Y3^-1)^2, Y1^10, (Y3^-1 * Y1^-1)^10, (Y3 * Y2^-1)^15 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 16, 46, 26, 56, 29, 59, 30, 60, 23, 53, 13, 43, 4, 34)(3, 33, 9, 39, 17, 47, 8, 38, 20, 50, 18, 48, 28, 58, 25, 55, 15, 45, 11, 41)(5, 35, 14, 44, 10, 40, 22, 52, 27, 57, 21, 51, 24, 54, 12, 42, 19, 49, 7, 37)(61, 91, 63, 93, 70, 100, 66, 96, 77, 107, 87, 117, 86, 116, 80, 110, 84, 114, 90, 120, 88, 118, 79, 109, 73, 103, 75, 105, 65, 95)(62, 92, 67, 97, 78, 108, 76, 106, 74, 104, 85, 115, 89, 119, 82, 112, 71, 101, 83, 113, 81, 111, 69, 99, 64, 94, 72, 102, 68, 98)
	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) :: { ( 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 selfdual
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.145 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|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, Y1 * Y2 * Y1 * Y2^-2, (Y2 * Y1 * Y2)^2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y2^-1 * Y1^-1 * Y2^-1)^2, Y2^15, (Y3^-1 * Y1^-1)^10, (Y3 * Y2^-1)^15 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 18, 48, 30, 60, 25, 55, 27, 57, 28, 58, 13, 43, 4, 34)(3, 33, 9, 39, 19, 49, 21, 51, 17, 47, 14, 44, 24, 54, 8, 38, 23, 53, 11, 41)(5, 35, 15, 45, 20, 50, 12, 42, 22, 52, 7, 37, 10, 40, 26, 56, 29, 59, 16, 46)(61, 91, 63, 93, 70, 100, 87, 117, 84, 114, 80, 110, 66, 96, 79, 109, 89, 119, 73, 103, 83, 113, 82, 112, 90, 120, 77, 107, 65, 95)(62, 92, 67, 97, 81, 111, 88, 118, 75, 105, 71, 101, 78, 108, 86, 116, 74, 104, 64, 94, 72, 102, 69, 99, 85, 115, 76, 106, 68, 98)
	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) :: { ( 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 selfdual
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.146 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|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, Y1 * Y2^2 * Y1 * Y2^-1, (Y2^-2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-3 * Y2^-1 * Y1^-1 * Y2^-1, (Y2 * Y1^-1 * Y2)^2, Y2^15, (Y3^-1 * Y1^-1)^10, (Y3 * Y2^-1)^15 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 18, 48, 26, 56, 27, 57, 30, 60, 25, 55, 13, 43, 4, 34)(3, 33, 9, 39, 19, 49, 14, 44, 23, 53, 8, 38, 17, 47, 29, 59, 28, 58, 11, 41)(5, 35, 15, 45, 20, 50, 24, 54, 10, 40, 12, 42, 22, 52, 7, 37, 21, 51, 16, 46)(61, 91, 63, 93, 70, 100, 86, 116, 83, 113, 81, 111, 73, 103, 88, 118, 80, 110, 66, 96, 79, 109, 82, 112, 90, 120, 77, 107, 65, 95)(62, 92, 67, 97, 71, 101, 87, 117, 75, 105, 74, 104, 64, 94, 72, 102, 89, 119, 78, 108, 76, 106, 69, 99, 85, 115, 84, 114, 68, 98)
	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) :: { ( 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 selfdual
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.147 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1 * Y3^-1 * Y1^-1 * Y3^-1, (R * Y3)^2, (Y3^-1, Y2), (R * Y1)^2, (R * Y2)^2, (Y2 * Y1^-1)^2, Y1^2 * Y2^-1 * Y3 * Y2^-1, Y1^-1 * Y3 * Y1^-1 * Y2^2, Y3 * Y1 * Y2 * Y1^-1 * Y2^-1, Y1^2 * Y2^3, Y3 * Y1^-2 * Y3 * Y2^2, Y1^10 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 26, 56, 25, 55, 30, 60, 15, 45, 29, 59, 21, 51, 5, 35)(3, 33, 13, 43, 24, 54, 20, 50, 7, 37, 10, 40, 27, 57, 22, 52, 18, 48, 11, 41)(4, 34, 12, 42, 14, 44, 23, 53, 6, 36, 19, 49, 16, 46, 9, 39, 28, 58, 17, 47)(61, 91, 63, 93, 74, 104, 81, 111, 78, 108, 64, 94, 75, 105, 87, 117, 88, 118, 85, 115, 67, 97, 76, 106, 68, 98, 84, 114, 66, 96)(62, 92, 69, 99, 82, 112, 65, 95, 79, 109, 70, 100, 89, 119, 83, 113, 80, 110, 90, 120, 72, 102, 73, 103, 86, 116, 77, 107, 71, 101)
	L = (1, 64)(2, 70)(3, 75)(4, 67)(5, 80)(6, 78)(7, 61)(8, 74)(9, 89)(10, 72)(11, 79)(12, 62)(13, 69)(14, 87)(15, 76)(16, 63)(17, 65)(18, 85)(19, 90)(20, 77)(21, 88)(22, 83)(23, 86)(24, 81)(25, 66)(26, 82)(27, 68)(28, 84)(29, 73)(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) :: { ( 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 selfdual
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.148 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (R * Y1)^2, (Y3, Y2), (R * Y2)^2, (R * Y3)^2, (Y1^-1 * Y2^-1)^2, Y3 * Y1^-1 * Y3 * Y1, Y1 * Y2^-1 * Y1^-1 * Y2 * Y3^-1, Y1^-1 * Y3^-1 * Y1^-1 * Y2^-2, Y1^2 * Y2^-3, Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y1^-10, Y1^10 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 26, 56, 15, 45, 28, 58, 25, 55, 30, 60, 22, 52, 5, 35)(3, 33, 13, 43, 19, 49, 11, 41, 29, 59, 21, 51, 7, 37, 10, 40, 24, 54, 16, 46)(4, 34, 12, 42, 27, 57, 20, 50, 17, 47, 9, 39, 6, 36, 23, 53, 14, 44, 18, 48)(61, 91, 63, 93, 74, 104, 68, 98, 79, 109, 64, 94, 75, 105, 89, 119, 87, 117, 85, 115, 67, 97, 77, 107, 82, 112, 84, 114, 66, 96)(62, 92, 69, 99, 81, 111, 86, 116, 83, 113, 70, 100, 88, 118, 78, 108, 76, 106, 90, 120, 72, 102, 73, 103, 65, 95, 80, 110, 71, 101)
	L = (1, 64)(2, 70)(3, 75)(4, 67)(5, 81)(6, 79)(7, 61)(8, 87)(9, 88)(10, 72)(11, 83)(12, 62)(13, 69)(14, 89)(15, 77)(16, 80)(17, 63)(18, 65)(19, 85)(20, 86)(21, 78)(22, 74)(23, 90)(24, 68)(25, 66)(26, 76)(27, 84)(28, 73)(29, 82)(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) :: { ( 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 selfdual
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.149 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^2 * Y2^-1 * Y3^-1, (Y2^-1, Y3), Y1^-2 * Y2 * Y3, (R * Y1)^2, Y1^-1 * Y3^-1 * Y1^-1 * Y2, (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y1 * Y3^-1 * Y1 * Y3, Y1^-1 * Y2^2 * Y1^-1 * Y2^-1, Y2^-5 * Y3, (Y2^-2 * Y1^-1)^2, (Y2 * Y3)^5 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 28, 58, 25, 55, 27, 57, 29, 59, 18, 48, 5, 35)(3, 33, 13, 43, 23, 53, 24, 54, 21, 51, 19, 49, 17, 47, 11, 41, 7, 37, 10, 40)(4, 34, 12, 42, 15, 45, 9, 39, 14, 44, 26, 56, 30, 60, 20, 50, 6, 36, 16, 46)(61, 91, 63, 93, 74, 104, 87, 117, 77, 107, 64, 94, 68, 98, 83, 113, 90, 120, 78, 108, 67, 97, 75, 105, 88, 118, 81, 111, 66, 96)(62, 92, 69, 99, 84, 114, 89, 119, 76, 106, 70, 100, 82, 112, 86, 116, 79, 109, 65, 95, 72, 102, 73, 103, 85, 115, 80, 110, 71, 101)
	L = (1, 64)(2, 70)(3, 68)(4, 67)(5, 71)(6, 77)(7, 61)(8, 75)(9, 82)(10, 72)(11, 76)(12, 62)(13, 69)(14, 83)(15, 63)(16, 65)(17, 78)(18, 66)(19, 80)(20, 89)(21, 87)(22, 73)(23, 88)(24, 86)(25, 84)(26, 85)(27, 90)(28, 74)(29, 79)(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) :: { ( 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 selfdual
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.150 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^-2 * Y2^-1 * Y3^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y1^-1 * Y3 * Y1^-1 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y3 * Y1^-1 * Y2 * Y1 * Y2^-1, Y1 * Y2^-1 * Y1^-1 * Y2 * Y3^-1, Y3 * Y2^-5, (Y2^2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 26, 56, 29, 59, 28, 58, 25, 55, 15, 45, 5, 35)(3, 33, 13, 43, 7, 37, 10, 40, 18, 48, 11, 41, 21, 51, 30, 60, 27, 57, 16, 46)(4, 34, 12, 42, 6, 36, 20, 50, 23, 53, 24, 54, 14, 44, 19, 49, 17, 47, 9, 39)(61, 91, 63, 93, 74, 104, 86, 116, 78, 108, 64, 94, 75, 105, 87, 117, 83, 113, 68, 98, 67, 97, 77, 107, 88, 118, 81, 111, 66, 96)(62, 92, 69, 99, 76, 106, 89, 119, 80, 110, 70, 100, 65, 95, 79, 109, 90, 120, 82, 112, 72, 102, 73, 103, 85, 115, 84, 114, 71, 101)
	L = (1, 64)(2, 70)(3, 75)(4, 67)(5, 73)(6, 78)(7, 61)(8, 66)(9, 65)(10, 72)(11, 80)(12, 62)(13, 69)(14, 87)(15, 77)(16, 79)(17, 63)(18, 68)(19, 85)(20, 82)(21, 86)(22, 71)(23, 81)(24, 89)(25, 76)(26, 83)(27, 88)(28, 74)(29, 90)(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, 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 selfdual
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.151 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y1^-1)^2, (Y3, Y1^-1), (R * Y3)^2, (Y3^-1, Y2), (R * Y2)^2, (R * Y1)^2, (Y1^-1 * Y2^-1)^2, Y3^-1 * Y1^2 * Y3^-1, Y3^-3 * Y1^-2, Y3 * Y2^-2 * Y3 * Y2^-1, Y1 * Y3 * Y2^-1 * Y1 * Y2^-1, Y1^-1 * Y2^-2 * Y1 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 21, 51, 7, 37, 12, 42, 4, 34, 10, 40, 20, 50, 5, 35)(3, 33, 13, 43, 25, 55, 11, 41, 17, 47, 26, 56, 15, 45, 30, 60, 23, 53, 16, 46)(6, 36, 22, 52, 14, 44, 29, 59, 24, 54, 27, 57, 18, 48, 19, 49, 28, 58, 9, 39)(61, 91, 63, 93, 74, 104, 68, 98, 85, 115, 84, 114, 67, 97, 77, 107, 78, 108, 64, 94, 75, 105, 88, 118, 80, 110, 83, 113, 66, 96)(62, 92, 69, 99, 86, 116, 81, 111, 82, 112, 90, 120, 72, 102, 89, 119, 76, 106, 70, 100, 87, 117, 73, 103, 65, 95, 79, 109, 71, 101)
	L = (1, 64)(2, 70)(3, 75)(4, 68)(5, 72)(6, 78)(7, 61)(8, 80)(9, 87)(10, 81)(11, 76)(12, 62)(13, 90)(14, 88)(15, 85)(16, 86)(17, 63)(18, 74)(19, 89)(20, 67)(21, 65)(22, 79)(23, 77)(24, 66)(25, 83)(26, 73)(27, 82)(28, 84)(29, 69)(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) :: { ( 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 E26.158
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.152 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3 * Y1, (Y2, Y3^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^2 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y1^-1 * Y2 * Y1^-1, Y2^-3 * Y3^2, Y3^5, Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 10, 40, 25, 55, 30, 60, 16, 46, 17, 47, 4, 34, 5, 35)(3, 33, 11, 41, 15, 45, 26, 56, 23, 53, 20, 50, 29, 59, 9, 39, 13, 43, 14, 44)(6, 36, 21, 51, 24, 54, 19, 49, 27, 57, 8, 38, 12, 42, 28, 58, 18, 48, 22, 52)(61, 91, 63, 93, 72, 102, 76, 106, 89, 119, 84, 114, 67, 97, 75, 105, 78, 108, 64, 94, 73, 103, 87, 117, 85, 115, 83, 113, 66, 96)(62, 92, 68, 98, 86, 116, 77, 107, 81, 111, 74, 104, 70, 100, 88, 118, 80, 110, 65, 95, 79, 109, 71, 101, 90, 120, 82, 112, 69, 99)
	L = (1, 64)(2, 65)(3, 73)(4, 76)(5, 77)(6, 78)(7, 61)(8, 79)(9, 80)(10, 62)(11, 74)(12, 87)(13, 89)(14, 69)(15, 63)(16, 85)(17, 90)(18, 72)(19, 81)(20, 86)(21, 82)(22, 88)(23, 75)(24, 66)(25, 67)(26, 71)(27, 84)(28, 68)(29, 83)(30, 70)(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, 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 E26.157
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.153 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3, (R * Y3)^2, (Y3^-1, Y2), (R * Y1)^2, (R * Y2)^2, Y3^-2 * Y2^3, Y3^5, Y2^-1 * Y1 * Y2^2 * Y1, Y2 * Y3 * Y1 * Y2 * Y1, Y3^-1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 4, 34, 9, 39, 16, 46, 27, 57, 25, 55, 20, 50, 7, 37, 5, 35)(3, 33, 11, 41, 13, 43, 19, 49, 29, 59, 10, 40, 23, 53, 28, 58, 15, 45, 14, 44)(6, 36, 21, 51, 17, 47, 30, 60, 12, 42, 18, 48, 26, 56, 8, 38, 24, 54, 22, 52)(61, 91, 63, 93, 72, 102, 76, 106, 89, 119, 84, 114, 67, 97, 75, 105, 77, 107, 64, 94, 73, 103, 86, 116, 85, 115, 83, 113, 66, 96)(62, 92, 68, 98, 74, 104, 87, 117, 81, 111, 79, 109, 65, 95, 78, 108, 88, 118, 69, 99, 82, 112, 71, 101, 80, 110, 90, 120, 70, 100)
	L = (1, 64)(2, 69)(3, 73)(4, 76)(5, 62)(6, 77)(7, 61)(8, 82)(9, 87)(10, 88)(11, 79)(12, 86)(13, 89)(14, 71)(15, 63)(16, 85)(17, 72)(18, 68)(19, 70)(20, 65)(21, 90)(22, 81)(23, 75)(24, 66)(25, 67)(26, 84)(27, 80)(28, 74)(29, 83)(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) :: { ( 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 E26.159
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.154 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3, (Y2^-1, Y3^-1), (Y1 * Y2^-1)^2, Y2^3 * Y3, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^5, Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y2^-1, (Y3^-1 * Y1^-1)^10, 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 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 4, 34, 9, 39, 15, 45, 24, 54, 21, 51, 19, 49, 7, 37, 5, 35)(3, 33, 11, 41, 13, 43, 25, 55, 28, 58, 30, 60, 29, 59, 18, 48, 14, 44, 10, 40)(6, 36, 17, 47, 16, 46, 8, 38, 22, 52, 23, 53, 27, 57, 26, 56, 12, 42, 20, 50)(61, 91, 63, 93, 72, 102, 67, 97, 74, 104, 87, 117, 81, 111, 89, 119, 82, 112, 75, 105, 88, 118, 76, 106, 64, 94, 73, 103, 66, 96)(62, 92, 68, 98, 78, 108, 65, 95, 77, 107, 90, 120, 79, 109, 80, 110, 85, 115, 84, 114, 86, 116, 71, 101, 69, 99, 83, 113, 70, 100)
	L = (1, 64)(2, 69)(3, 73)(4, 75)(5, 62)(6, 76)(7, 61)(8, 83)(9, 84)(10, 71)(11, 85)(12, 66)(13, 88)(14, 63)(15, 81)(16, 82)(17, 68)(18, 70)(19, 65)(20, 77)(21, 67)(22, 87)(23, 86)(24, 79)(25, 90)(26, 80)(27, 72)(28, 89)(29, 74)(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) :: { ( 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 E26.156
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.155 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^2, (Y2^-1 * Y1^-1)^2, (R * Y2)^2, (Y3, Y2^-1), (R * Y1)^2, Y3 * Y2^3, (R * Y3)^2, Y3^5, (Y3^2 * Y1^-1)^2, Y2^-1 * Y1^-1 * Y2 * Y3^2 * Y1^-1 * Y2^-1, (Y2^-1 * Y3)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 10, 40, 21, 51, 24, 54, 16, 46, 17, 47, 4, 34, 5, 35)(3, 33, 11, 41, 15, 45, 9, 39, 23, 53, 22, 52, 28, 58, 29, 59, 13, 43, 14, 44)(6, 36, 20, 50, 12, 42, 26, 56, 27, 57, 25, 55, 30, 60, 19, 49, 18, 48, 8, 38)(61, 91, 63, 93, 72, 102, 67, 97, 75, 105, 87, 117, 81, 111, 83, 113, 90, 120, 76, 106, 88, 118, 78, 108, 64, 94, 73, 103, 66, 96)(62, 92, 68, 98, 82, 112, 70, 100, 80, 110, 89, 119, 84, 114, 86, 116, 74, 104, 77, 107, 85, 115, 71, 101, 65, 95, 79, 109, 69, 99)
	L = (1, 64)(2, 65)(3, 73)(4, 76)(5, 77)(6, 78)(7, 61)(8, 79)(9, 71)(10, 62)(11, 74)(12, 66)(13, 88)(14, 89)(15, 63)(16, 81)(17, 84)(18, 90)(19, 85)(20, 68)(21, 67)(22, 69)(23, 75)(24, 70)(25, 86)(26, 80)(27, 72)(28, 83)(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) :: { ( 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 selfdual
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.156 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^2 * Y1^-1, (Y1 * Y3^-1)^2, Y2^-3 * Y3^-1, (Y3, Y1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^-2 * Y1^-1 * Y2 * Y1^-1, Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1, Y1 * Y2^-1 * Y1^-1 * Y3 * Y2^-1, Y3^2 * Y1 * Y3 * Y1, Y3 * Y2 * Y1^2 * Y3 * Y2 * Y1^2 * Y3 * Y2 * Y1^2 * Y3 * Y2 * Y1^2 * Y3 * Y2 * Y1^2 * Y3 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 7, 37, 12, 42, 4, 34, 10, 40, 20, 50, 5, 35)(3, 33, 13, 43, 25, 55, 21, 51, 17, 47, 11, 41, 15, 45, 29, 59, 30, 60, 16, 46)(6, 36, 23, 53, 26, 56, 28, 58, 14, 44, 19, 49, 18, 48, 9, 39, 27, 57, 24, 54)(61, 91, 63, 93, 74, 104, 67, 97, 77, 107, 87, 117, 80, 110, 90, 120, 86, 116, 68, 98, 85, 115, 78, 108, 64, 94, 75, 105, 66, 96)(62, 92, 69, 99, 76, 106, 72, 102, 83, 113, 81, 111, 65, 95, 79, 109, 89, 119, 82, 112, 84, 114, 73, 103, 70, 100, 88, 118, 71, 101)
	L = (1, 64)(2, 70)(3, 75)(4, 68)(5, 72)(6, 78)(7, 61)(8, 80)(9, 88)(10, 82)(11, 73)(12, 62)(13, 89)(14, 66)(15, 85)(16, 71)(17, 63)(18, 86)(19, 83)(20, 67)(21, 76)(22, 65)(23, 69)(24, 79)(25, 90)(26, 87)(27, 74)(28, 84)(29, 81)(30, 77)(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, 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 E26.154
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.157 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3^-1, Y2^3 * Y3^-1, (Y2^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (Y2, Y3^-1), (R * Y2)^2, Y3^5, Y2^-1 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2^-1, (Y3^2 * Y1^-1)^2, Y1 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 10, 40, 21, 51, 24, 54, 15, 45, 16, 46, 4, 34, 5, 35)(3, 33, 11, 41, 14, 44, 26, 56, 29, 59, 30, 60, 28, 58, 18, 48, 13, 43, 9, 39)(6, 36, 17, 47, 20, 50, 8, 38, 22, 52, 23, 53, 27, 57, 25, 55, 12, 42, 19, 49)(61, 91, 63, 93, 72, 102, 64, 94, 73, 103, 87, 117, 75, 105, 88, 118, 82, 112, 81, 111, 89, 119, 80, 110, 67, 97, 74, 104, 66, 96)(62, 92, 68, 98, 78, 108, 65, 95, 77, 107, 90, 120, 76, 106, 79, 109, 86, 116, 84, 114, 85, 115, 71, 101, 70, 100, 83, 113, 69, 99)
	L = (1, 64)(2, 65)(3, 73)(4, 75)(5, 76)(6, 72)(7, 61)(8, 77)(9, 78)(10, 62)(11, 69)(12, 87)(13, 88)(14, 63)(15, 81)(16, 84)(17, 79)(18, 90)(19, 85)(20, 66)(21, 67)(22, 80)(23, 68)(24, 70)(25, 83)(26, 71)(27, 82)(28, 89)(29, 74)(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) :: { ( 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 E26.152
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.158 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3^-1, (Y2^-1 * Y1^-1)^2, Y3^-1 * Y2^3, (Y2^-1, Y3), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^5, (Y3^-1 * Y1^-1)^10 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 4, 34, 9, 39, 16, 46, 23, 53, 21, 51, 18, 48, 7, 37, 5, 35)(3, 33, 11, 41, 13, 43, 10, 40, 24, 54, 22, 52, 29, 59, 28, 58, 15, 45, 14, 44)(6, 36, 19, 49, 12, 42, 26, 56, 27, 57, 25, 55, 30, 60, 17, 47, 20, 50, 8, 38)(61, 91, 63, 93, 72, 102, 64, 94, 73, 103, 87, 117, 76, 106, 84, 114, 90, 120, 81, 111, 89, 119, 80, 110, 67, 97, 75, 105, 66, 96)(62, 92, 68, 98, 82, 112, 69, 99, 79, 109, 88, 118, 83, 113, 86, 116, 74, 104, 78, 108, 85, 115, 71, 101, 65, 95, 77, 107, 70, 100)
	L = (1, 64)(2, 69)(3, 73)(4, 76)(5, 62)(6, 72)(7, 61)(8, 79)(9, 83)(10, 82)(11, 70)(12, 87)(13, 84)(14, 71)(15, 63)(16, 81)(17, 68)(18, 65)(19, 86)(20, 66)(21, 67)(22, 88)(23, 78)(24, 89)(25, 77)(26, 85)(27, 90)(28, 74)(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) :: { ( 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 E26.151
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.159 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-3, (Y3 * Y1^-1)^2, (Y3, Y1^-1), (R * Y1)^2, (R * Y2)^2, (Y2, Y3), (R * Y3)^2, Y3^-1 * Y1^2 * Y3^-1, Y3 * Y1 * Y2 * Y1^-1 * Y2, Y1 * Y3^-1 * Y2 * Y1 * Y2, Y3^-1 * Y1^-4, Y2 * Y3^-1 * Y1^-1 * Y2^-2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 21, 51, 7, 37, 12, 42, 4, 34, 10, 40, 19, 49, 5, 35)(3, 33, 13, 43, 25, 55, 27, 57, 17, 47, 20, 50, 15, 45, 11, 41, 28, 58, 16, 46)(6, 36, 22, 52, 26, 56, 18, 48, 24, 54, 9, 39, 14, 44, 29, 59, 30, 60, 23, 53)(61, 91, 63, 93, 74, 104, 64, 94, 75, 105, 86, 116, 68, 98, 85, 115, 90, 120, 79, 109, 88, 118, 84, 114, 67, 97, 77, 107, 66, 96)(62, 92, 69, 99, 87, 117, 70, 100, 82, 112, 76, 106, 81, 111, 89, 119, 80, 110, 65, 95, 78, 108, 73, 103, 72, 102, 83, 113, 71, 101)
	L = (1, 64)(2, 70)(3, 75)(4, 68)(5, 72)(6, 74)(7, 61)(8, 79)(9, 82)(10, 81)(11, 87)(12, 62)(13, 71)(14, 86)(15, 85)(16, 80)(17, 63)(18, 83)(19, 67)(20, 73)(21, 65)(22, 89)(23, 69)(24, 66)(25, 88)(26, 90)(27, 76)(28, 77)(29, 78)(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, 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 E26.153
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.160 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, (R * Y1)^2, Y1^-1 * Y3 * Y1^-1 * Y2^-1, (R * Y3)^2, Y3^3 * Y1^2, Y1^2 * Y2^-3, Y1^10, (Y3^-1 * Y1^-1)^10, (Y3 * Y2^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 6, 36, 16, 46, 26, 56, 29, 59, 30, 60, 23, 53, 15, 45, 5, 35)(3, 33, 9, 39, 17, 47, 8, 38, 20, 50, 18, 48, 28, 58, 24, 54, 13, 43, 11, 41)(4, 34, 12, 42, 10, 40, 22, 52, 27, 57, 21, 51, 25, 55, 14, 44, 19, 49, 7, 37)(61, 91, 63, 93, 70, 100, 66, 96, 77, 107, 87, 117, 86, 116, 80, 110, 85, 115, 90, 120, 88, 118, 79, 109, 75, 105, 73, 103, 64, 94)(62, 92, 67, 97, 78, 108, 76, 106, 72, 102, 84, 114, 89, 119, 82, 112, 71, 101, 83, 113, 81, 111, 69, 99, 65, 95, 74, 104, 68, 98)
	L = (1, 64)(2, 68)(3, 61)(4, 73)(5, 69)(6, 70)(7, 62)(8, 74)(9, 81)(10, 63)(11, 82)(12, 76)(13, 75)(14, 65)(15, 79)(16, 78)(17, 66)(18, 67)(19, 88)(20, 86)(21, 83)(22, 89)(23, 71)(24, 72)(25, 80)(26, 87)(27, 77)(28, 90)(29, 84)(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) :: { ( 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 E26.167
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.161 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1, Y3 * Y2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1 * Y3^2 * Y1, Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y2^-1, Y2 * Y1^-1 * Y3^-1 * Y1^-3, Y1 * Y2^2 * Y1 * Y3^-1 * Y2, (Y3 * Y1^-1 * Y3)^2, Y2 * Y1^-1 * Y2 * Y1 * Y3^-3, Y2^15, (Y3 * Y2^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 6, 36, 18, 48, 29, 59, 25, 55, 27, 57, 28, 58, 17, 47, 5, 35)(3, 33, 9, 39, 19, 49, 21, 51, 13, 43, 16, 46, 24, 54, 8, 38, 23, 53, 11, 41)(4, 34, 12, 42, 20, 50, 15, 45, 22, 52, 7, 37, 10, 40, 26, 56, 30, 60, 14, 44)(61, 91, 63, 93, 70, 100, 87, 117, 84, 114, 80, 110, 66, 96, 79, 109, 90, 120, 77, 107, 83, 113, 82, 112, 89, 119, 73, 103, 64, 94)(62, 92, 67, 97, 81, 111, 88, 118, 72, 102, 71, 101, 78, 108, 86, 116, 76, 106, 65, 95, 75, 105, 69, 99, 85, 115, 74, 104, 68, 98)
	L = (1, 64)(2, 68)(3, 61)(4, 73)(5, 76)(6, 80)(7, 62)(8, 74)(9, 75)(10, 63)(11, 72)(12, 88)(13, 89)(14, 85)(15, 65)(16, 86)(17, 90)(18, 71)(19, 66)(20, 84)(21, 67)(22, 83)(23, 77)(24, 87)(25, 69)(26, 78)(27, 70)(28, 81)(29, 82)(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) :: { ( 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 E26.166
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.162 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y3 * Y1 * Y3^-1, Y1 * Y2 * Y3^-1 * Y1 * Y2^-1, Y1^-1 * Y2^2 * Y1^-1 * Y3^-2, Y2^2 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, Y1 * Y2 * Y1^3 * Y3^-1, Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^-1, Y2 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1, (Y1 * Y3 * Y2^-1)^2, Y2 * Y1^2 * Y2^-1 * Y1^-2, Y2 * Y1^2 * Y2^5, (Y3^-2 * Y2)^5, (Y3 * Y2^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 6, 36, 18, 48, 26, 56, 27, 57, 30, 60, 25, 55, 17, 47, 5, 35)(3, 33, 9, 39, 19, 49, 16, 46, 24, 54, 8, 38, 13, 43, 29, 59, 28, 58, 11, 41)(4, 34, 12, 42, 20, 50, 23, 53, 10, 40, 15, 45, 22, 52, 7, 37, 21, 51, 14, 44)(61, 91, 63, 93, 70, 100, 86, 116, 84, 114, 81, 111, 77, 107, 88, 118, 80, 110, 66, 96, 79, 109, 82, 112, 90, 120, 73, 103, 64, 94)(62, 92, 67, 97, 71, 101, 87, 117, 72, 102, 76, 106, 65, 95, 75, 105, 89, 119, 78, 108, 74, 104, 69, 99, 85, 115, 83, 113, 68, 98)
	L = (1, 64)(2, 68)(3, 61)(4, 73)(5, 76)(6, 80)(7, 62)(8, 83)(9, 74)(10, 63)(11, 67)(12, 87)(13, 90)(14, 78)(15, 65)(16, 72)(17, 81)(18, 89)(19, 66)(20, 88)(21, 84)(22, 79)(23, 85)(24, 86)(25, 69)(26, 70)(27, 71)(28, 77)(29, 75)(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) :: { ( 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 E26.168
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.163 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, (Y1^-1 * Y2)^2, Y1^-2 * Y3^-1 * Y2^-1, (R * Y1)^2, Y1 * Y3 * Y2 * Y1, (R * Y3)^2, (R * Y2)^2, Y3 * Y1^-1 * Y3^2 * Y2 * Y1^-1, Y3^5 * Y1 * Y3^-1 * Y1, (Y2^-1 * Y3^-1)^5, 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 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 30, 60, 27, 57, 29, 59, 28, 58, 14, 44, 5, 35)(3, 33, 13, 43, 7, 37, 20, 50, 23, 53, 19, 49, 25, 55, 10, 40, 16, 46, 11, 41)(4, 34, 15, 45, 6, 36, 18, 48, 21, 51, 9, 39, 24, 54, 12, 42, 26, 56, 17, 47)(61, 91, 63, 93, 64, 94, 74, 104, 76, 106, 86, 116, 89, 119, 85, 115, 84, 114, 90, 120, 83, 113, 81, 111, 68, 98, 67, 97, 66, 96)(62, 92, 69, 99, 70, 100, 65, 95, 78, 108, 79, 109, 88, 118, 75, 105, 80, 110, 87, 117, 77, 107, 73, 103, 82, 112, 72, 102, 71, 101)
	L = (1, 64)(2, 70)(3, 74)(4, 76)(5, 79)(6, 63)(7, 61)(8, 66)(9, 65)(10, 78)(11, 69)(12, 62)(13, 72)(14, 86)(15, 87)(16, 89)(17, 82)(18, 88)(19, 75)(20, 77)(21, 67)(22, 71)(23, 68)(24, 83)(25, 90)(26, 85)(27, 73)(28, 80)(29, 84)(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) :: { ( 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 E26.165
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.164 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-2, (Y1 * Y2)^2, Y3 * Y1^-2 * Y2, Y3 * Y2 * Y1^-2, (Y2 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y2 * Y1^5, Y3^-1 * Y1^-1 * Y3^5 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 29, 59, 28, 58, 30, 60, 27, 57, 18, 48, 5, 35)(3, 33, 13, 43, 16, 46, 11, 41, 25, 55, 10, 40, 24, 54, 20, 50, 7, 37, 14, 44)(4, 34, 15, 45, 23, 53, 19, 49, 26, 56, 12, 42, 21, 51, 9, 39, 6, 36, 17, 47)(61, 91, 63, 93, 64, 94, 68, 98, 76, 106, 83, 113, 89, 119, 85, 115, 86, 116, 90, 120, 84, 114, 81, 111, 78, 108, 67, 97, 66, 96)(62, 92, 69, 99, 70, 100, 82, 112, 77, 107, 80, 110, 88, 118, 75, 105, 74, 104, 87, 117, 79, 109, 73, 103, 65, 95, 72, 102, 71, 101)
	L = (1, 64)(2, 70)(3, 68)(4, 76)(5, 71)(6, 63)(7, 61)(8, 83)(9, 82)(10, 77)(11, 69)(12, 62)(13, 72)(14, 79)(15, 87)(16, 89)(17, 88)(18, 66)(19, 65)(20, 75)(21, 67)(22, 80)(23, 85)(24, 78)(25, 90)(26, 84)(27, 73)(28, 74)(29, 86)(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) :: { ( 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 selfdual
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.165 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, Y1 * Y3 * Y1 * Y2^-1, (Y1 * Y3^-1)^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^-2 * Y1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y1 * Y3 * Y2 * Y1, Y3 * Y1 * Y3 * Y1^-3, Y2 * Y3^2 * Y1^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y3^-2 * Y2^-1 * Y1^-1, (Y3^-1 * Y2^-1)^5 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 24, 54, 14, 44, 29, 59, 22, 52, 30, 60, 18, 48, 5, 35)(3, 33, 13, 43, 25, 55, 19, 49, 16, 46, 11, 41, 7, 37, 17, 47, 27, 57, 10, 40)(4, 34, 15, 45, 23, 53, 9, 39, 28, 58, 21, 51, 6, 36, 20, 50, 26, 56, 12, 42)(61, 91, 63, 93, 64, 94, 74, 104, 76, 106, 88, 118, 78, 108, 87, 117, 86, 116, 68, 98, 85, 115, 83, 113, 82, 112, 67, 97, 66, 96)(62, 92, 69, 99, 70, 100, 89, 119, 80, 110, 79, 109, 65, 95, 75, 105, 77, 107, 84, 114, 81, 111, 73, 103, 90, 120, 72, 102, 71, 101)
	L = (1, 64)(2, 70)(3, 74)(4, 76)(5, 77)(6, 63)(7, 61)(8, 83)(9, 89)(10, 80)(11, 69)(12, 62)(13, 72)(14, 88)(15, 84)(16, 78)(17, 81)(18, 86)(19, 75)(20, 65)(21, 90)(22, 66)(23, 67)(24, 73)(25, 82)(26, 85)(27, 68)(28, 87)(29, 79)(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) :: { ( 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 E26.163
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.166 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-2, Y1 * Y3^-1 * Y1 * Y2, (Y1 * Y2^-1)^2, (Y1^-1 * Y2)^2, Y3 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y1)^2, (R * Y2)^2, Y2 * Y1 * Y3^-1 * Y1, (Y2 * Y1^-1)^2, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-3, Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y1^-3 * Y3^-1 * Y1^-1 * Y3^-1, Y2 * Y3 * Y1 * Y2^-1 * Y3^-1 * Y1^-1, Y2^-7 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 24, 54, 15, 45, 28, 58, 22, 52, 30, 60, 18, 48, 5, 35)(3, 33, 13, 43, 21, 51, 10, 40, 29, 59, 23, 53, 7, 37, 19, 49, 27, 57, 11, 41)(4, 34, 16, 46, 25, 55, 20, 50, 14, 44, 12, 42, 6, 36, 17, 47, 26, 56, 9, 39)(61, 91, 63, 93, 74, 104, 78, 108, 87, 117, 85, 115, 82, 112, 67, 97, 64, 94, 75, 105, 89, 119, 86, 116, 68, 98, 81, 111, 66, 96)(62, 92, 69, 99, 79, 109, 65, 95, 77, 107, 83, 113, 90, 120, 72, 102, 70, 100, 88, 118, 80, 110, 73, 103, 84, 114, 76, 106, 71, 101)
	L = (1, 64)(2, 70)(3, 75)(4, 63)(5, 73)(6, 67)(7, 61)(8, 85)(9, 88)(10, 69)(11, 72)(12, 62)(13, 77)(14, 89)(15, 74)(16, 90)(17, 84)(18, 86)(19, 80)(20, 65)(21, 82)(22, 66)(23, 76)(24, 83)(25, 81)(26, 87)(27, 68)(28, 79)(29, 78)(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) :: { ( 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 E26.161
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.167 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-2, Y1 * Y2^-1 * Y1 * Y3, (R * Y2)^2, (R * Y3)^2, (Y2 * Y1)^2, (R * Y1)^2, Y1^-1 * Y2^3 * Y1^-1, Y2^-1 * Y3^-1 * Y1^-4, Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 24, 54, 22, 52, 29, 59, 15, 45, 28, 58, 19, 49, 5, 35)(3, 33, 13, 43, 25, 55, 11, 41, 7, 37, 23, 53, 27, 57, 18, 48, 21, 51, 10, 40)(4, 34, 16, 46, 26, 56, 9, 39, 6, 36, 20, 50, 14, 44, 12, 42, 30, 60, 17, 47)(61, 91, 63, 93, 74, 104, 68, 98, 85, 115, 90, 120, 82, 112, 67, 97, 64, 94, 75, 105, 87, 117, 86, 116, 79, 109, 81, 111, 66, 96)(62, 92, 69, 99, 83, 113, 84, 114, 80, 110, 78, 108, 89, 119, 72, 102, 70, 100, 88, 118, 77, 107, 73, 103, 65, 95, 76, 106, 71, 101)
	L = (1, 64)(2, 70)(3, 75)(4, 63)(5, 78)(6, 67)(7, 61)(8, 86)(9, 88)(10, 69)(11, 72)(12, 62)(13, 80)(14, 87)(15, 74)(16, 89)(17, 84)(18, 76)(19, 90)(20, 65)(21, 82)(22, 66)(23, 77)(24, 73)(25, 79)(26, 85)(27, 68)(28, 83)(29, 71)(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) :: { ( 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 E26.160
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.168 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-2, (R * Y2)^2, Y1 * Y2 * Y3 * Y1, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y3)^2, Y1 * Y2^2 * Y1^-1 * Y3, Y2^-1 * Y1^-1 * Y3^2 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2^2 * Y3 * Y1^-1, (Y3^-1 * Y2^-1)^5, Y3^-1 * Y1^-1 * Y3^-1 * 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 * Y1^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 30, 60, 27, 57, 29, 59, 28, 58, 15, 45, 5, 35)(3, 33, 13, 43, 7, 37, 19, 49, 21, 51, 10, 40, 25, 55, 11, 41, 26, 56, 16, 46)(4, 34, 17, 47, 6, 36, 20, 50, 23, 53, 18, 48, 24, 54, 9, 39, 14, 44, 12, 42)(61, 91, 63, 93, 74, 104, 89, 119, 85, 115, 83, 113, 68, 98, 67, 97, 64, 94, 75, 105, 86, 116, 84, 114, 90, 120, 81, 111, 66, 96)(62, 92, 69, 99, 79, 109, 88, 118, 80, 110, 76, 106, 82, 112, 72, 102, 70, 100, 65, 95, 78, 108, 73, 103, 87, 117, 77, 107, 71, 101)
	L = (1, 64)(2, 70)(3, 75)(4, 63)(5, 79)(6, 67)(7, 61)(8, 66)(9, 65)(10, 69)(11, 72)(12, 62)(13, 80)(14, 86)(15, 74)(16, 77)(17, 82)(18, 88)(19, 78)(20, 87)(21, 68)(22, 71)(23, 81)(24, 85)(25, 90)(26, 89)(27, 76)(28, 73)(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, 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 E26.162
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.169 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
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 * Y1^3, Y2 * Y1^-1 * Y2^2, (Y3, Y2^-1), (Y3^-1, Y1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2^-1, Y3^-2 * Y2 * Y3^-1 * Y1^-2, Y1 * Y3^2 * Y2^2 * Y3, Y2^-2 * Y1^-1 * Y3^3, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y1^-1, Y3^-1 * Y2 * Y1 * Y3 * Y2^-1 * Y1^-1, Y1 * Y2 * Y3^2 * 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 * Y2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 6, 36, 11, 41, 23, 53, 14, 44, 3, 33, 9, 39, 5, 35)(4, 34, 10, 40, 22, 52, 18, 48, 28, 58, 21, 51, 30, 60, 13, 43, 25, 55, 17, 47)(7, 37, 12, 42, 24, 54, 20, 50, 29, 59, 16, 46, 27, 57, 15, 45, 26, 56, 19, 49)(61, 91, 63, 93, 71, 101, 62, 92, 69, 99, 83, 113, 68, 98, 65, 95, 74, 104, 66, 96)(64, 94, 73, 103, 88, 118, 70, 100, 85, 115, 81, 111, 82, 112, 77, 107, 90, 120, 78, 108)(67, 97, 75, 105, 89, 119, 72, 102, 86, 116, 76, 106, 84, 114, 79, 109, 87, 117, 80, 110)
	L = (1, 64)(2, 70)(3, 73)(4, 76)(5, 77)(6, 78)(7, 61)(8, 82)(9, 85)(10, 87)(11, 88)(12, 62)(13, 84)(14, 90)(15, 63)(16, 83)(17, 89)(18, 86)(19, 65)(20, 66)(21, 67)(22, 75)(23, 81)(24, 68)(25, 80)(26, 69)(27, 74)(28, 79)(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) :: { ( 30^20 ) }
Outer automorphisms :: reflexible
Dual of E26.183
Graph:: bipartite
	v = 6 e = 60 f = 4
	degree seq :: [ 20^6 ]

E26.170 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
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 * Y1)^2, (Y2^-1, Y1^-1), (R * Y3)^2, Y2^3 * Y1^2, (R * Y2 * Y3^-1)^2, Y1^10, (Y3^-1 * Y1^-1)^10, (Y3 * Y2^-1)^15 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 14, 44, 20, 50, 26, 56, 25, 55, 19, 49, 11, 41, 4, 34)(3, 33, 7, 37, 13, 43, 16, 46, 22, 52, 28, 58, 30, 60, 24, 54, 18, 48, 10, 40)(5, 35, 8, 38, 15, 45, 21, 51, 27, 57, 29, 59, 23, 53, 17, 47, 9, 39, 12, 42)(61, 91, 63, 93, 69, 99, 71, 101, 78, 108, 83, 113, 85, 115, 90, 120, 87, 117, 80, 110, 82, 112, 75, 105, 66, 96, 73, 103, 65, 95)(62, 92, 67, 97, 72, 102, 64, 94, 70, 100, 77, 107, 79, 109, 84, 114, 89, 119, 86, 116, 88, 118, 81, 111, 74, 104, 76, 106, 68, 98)
	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) :: { ( 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 selfdual
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.171 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
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, R^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y2^3 * Y1^-2, (R * Y2 * Y3^-1)^2, Y1^10, (Y3^-1 * Y1^-1)^10, (Y3 * Y2^-1)^15 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 14, 44, 20, 50, 26, 56, 23, 53, 17, 47, 11, 41, 4, 34)(3, 33, 7, 37, 15, 45, 21, 51, 27, 57, 30, 60, 25, 55, 19, 49, 13, 43, 10, 40)(5, 35, 8, 38, 9, 39, 16, 46, 22, 52, 28, 58, 29, 59, 24, 54, 18, 48, 12, 42)(61, 91, 63, 93, 69, 99, 66, 96, 75, 105, 82, 112, 80, 110, 87, 117, 89, 119, 83, 113, 85, 115, 78, 108, 71, 101, 73, 103, 65, 95)(62, 92, 67, 97, 76, 106, 74, 104, 81, 111, 88, 118, 86, 116, 90, 120, 84, 114, 77, 107, 79, 109, 72, 102, 64, 94, 70, 100, 68, 98)
	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) :: { ( 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 selfdual
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.172 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
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 * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1^3 * Y2, Y2^-1 * Y1 * Y2^-5 * Y1, (Y3^-1 * Y1^-1)^10, (Y3 * Y2^-1)^15 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 14, 44, 25, 55, 28, 58, 19, 49, 22, 52, 11, 41, 4, 34)(3, 33, 7, 37, 15, 45, 24, 54, 13, 43, 18, 48, 27, 57, 30, 60, 21, 51, 10, 40)(5, 35, 8, 38, 16, 46, 26, 56, 29, 59, 20, 50, 9, 39, 17, 47, 23, 53, 12, 42)(61, 91, 63, 93, 69, 99, 79, 109, 87, 117, 76, 106, 66, 96, 75, 105, 83, 113, 71, 101, 81, 111, 89, 119, 85, 115, 73, 103, 65, 95)(62, 92, 67, 97, 77, 107, 82, 112, 90, 120, 86, 116, 74, 104, 84, 114, 72, 102, 64, 94, 70, 100, 80, 110, 88, 118, 78, 108, 68, 98)
	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) :: { ( 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 selfdual
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.173 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
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, (R * Y2 * Y3^-1)^2, Y2^2 * Y1^-1 * Y2 * Y1^-3, Y1 * Y2 * Y1 * Y2^5, (Y3^-1 * Y1^-1)^10, (Y3 * Y2^-1)^15 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 14, 44, 19, 49, 28, 58, 25, 55, 22, 52, 11, 41, 4, 34)(3, 33, 7, 37, 15, 45, 26, 56, 29, 59, 24, 54, 13, 43, 18, 48, 21, 51, 10, 40)(5, 35, 8, 38, 16, 46, 20, 50, 9, 39, 17, 47, 27, 57, 30, 60, 23, 53, 12, 42)(61, 91, 63, 93, 69, 99, 79, 109, 89, 119, 83, 113, 71, 101, 81, 111, 76, 106, 66, 96, 75, 105, 87, 117, 85, 115, 73, 103, 65, 95)(62, 92, 67, 97, 77, 107, 88, 118, 84, 114, 72, 102, 64, 94, 70, 100, 80, 110, 74, 104, 86, 116, 90, 120, 82, 112, 78, 108, 68, 98)
	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) :: { ( 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 selfdual
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.174 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^-2, (Y3^-1 * Y1)^2, (Y1^-1, Y2), (Y3^-1, Y1^-1), (R * Y1)^2, (Y2^-1, Y3), (R * Y3)^2, (R * Y2)^2, Y3 * Y1^4, Y3^5, Y3^-1 * Y2^2 * Y3^-1 * Y2, Y2^-1 * Y1^-1 * Y3^-1 * Y2^-2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 20, 50, 7, 37, 12, 42, 4, 34, 10, 40, 18, 48, 5, 35)(3, 33, 9, 39, 23, 53, 30, 60, 16, 46, 26, 56, 14, 44, 25, 55, 21, 51, 15, 45)(6, 36, 11, 41, 13, 43, 24, 54, 22, 52, 28, 58, 17, 47, 27, 57, 29, 59, 19, 49)(61, 91, 63, 93, 73, 103, 68, 98, 83, 113, 82, 112, 67, 97, 76, 106, 77, 107, 64, 94, 74, 104, 89, 119, 78, 108, 81, 111, 66, 96)(62, 92, 69, 99, 84, 114, 80, 110, 90, 120, 88, 118, 72, 102, 86, 116, 87, 117, 70, 100, 85, 115, 79, 109, 65, 95, 75, 105, 71, 101)
	L = (1, 64)(2, 70)(3, 74)(4, 68)(5, 72)(6, 77)(7, 61)(8, 78)(9, 85)(10, 80)(11, 87)(12, 62)(13, 89)(14, 83)(15, 86)(16, 63)(17, 73)(18, 67)(19, 88)(20, 65)(21, 76)(22, 66)(23, 81)(24, 79)(25, 90)(26, 69)(27, 84)(28, 71)(29, 82)(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) :: { ( 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 E26.181
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.175 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
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, Y3^-1), (R * Y3)^2, (R * Y2)^2, (Y1^-1, Y2^-1), (R * Y1)^2, Y2^-3 * Y3^2, Y3^5, (Y3^2 * Y1^-1)^2, Y2^-1 * Y3 * Y1^-1 * Y2^-2 * Y1^-1, Y3^-1 * Y2^-2 * Y3^-2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 10, 40, 21, 51, 26, 56, 15, 45, 16, 46, 4, 34, 5, 35)(3, 33, 8, 38, 14, 44, 23, 53, 19, 49, 24, 54, 29, 59, 30, 60, 12, 42, 13, 43)(6, 36, 9, 39, 20, 50, 25, 55, 27, 57, 28, 58, 11, 41, 22, 52, 17, 47, 18, 48)(61, 91, 63, 93, 71, 101, 75, 105, 89, 119, 80, 110, 67, 97, 74, 104, 77, 107, 64, 94, 72, 102, 87, 117, 81, 111, 79, 109, 66, 96)(62, 92, 68, 98, 82, 112, 76, 106, 90, 120, 85, 115, 70, 100, 83, 113, 78, 108, 65, 95, 73, 103, 88, 118, 86, 116, 84, 114, 69, 99)
	L = (1, 64)(2, 65)(3, 72)(4, 75)(5, 76)(6, 77)(7, 61)(8, 73)(9, 78)(10, 62)(11, 87)(12, 89)(13, 90)(14, 63)(15, 81)(16, 86)(17, 71)(18, 82)(19, 74)(20, 66)(21, 67)(22, 88)(23, 68)(24, 83)(25, 69)(26, 70)(27, 80)(28, 85)(29, 79)(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, 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 E26.180
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.176 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
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, Y3), (R * Y3)^2, (Y1^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, Y2^3 * Y3^-2, Y3^5, Y3^2 * Y2^2 * Y3 * Y2, (Y3^-1 * Y1^-1)^10 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 4, 34, 9, 39, 15, 45, 24, 54, 21, 51, 18, 48, 7, 37, 5, 35)(3, 33, 8, 38, 12, 42, 23, 53, 28, 58, 29, 59, 19, 49, 26, 56, 14, 44, 13, 43)(6, 36, 10, 40, 16, 46, 25, 55, 11, 41, 22, 52, 27, 57, 30, 60, 20, 50, 17, 47)(61, 91, 63, 93, 71, 101, 75, 105, 88, 118, 80, 110, 67, 97, 74, 104, 76, 106, 64, 94, 72, 102, 87, 117, 81, 111, 79, 109, 66, 96)(62, 92, 68, 98, 82, 112, 84, 114, 89, 119, 77, 107, 65, 95, 73, 103, 85, 115, 69, 99, 83, 113, 90, 120, 78, 108, 86, 116, 70, 100)
	L = (1, 64)(2, 69)(3, 72)(4, 75)(5, 62)(6, 76)(7, 61)(8, 83)(9, 84)(10, 85)(11, 87)(12, 88)(13, 68)(14, 63)(15, 81)(16, 71)(17, 70)(18, 65)(19, 74)(20, 66)(21, 67)(22, 90)(23, 89)(24, 78)(25, 82)(26, 73)(27, 80)(28, 79)(29, 86)(30, 77)(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, 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 E26.182
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.177 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
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, Y2^3 * Y3, (R * Y3)^2, (Y2, Y1^-1), (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y1^-1 * Y2^-2 * Y1^-1, Y3^5, Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2 * Y3^-2 * Y1^-1, (Y3^-1 * Y1^-1)^10, (Y3 * Y2^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 4, 34, 9, 39, 15, 45, 21, 51, 19, 49, 18, 48, 7, 37, 5, 35)(3, 33, 8, 38, 12, 42, 20, 50, 25, 55, 29, 59, 27, 57, 26, 56, 14, 44, 13, 43)(6, 36, 10, 40, 16, 46, 22, 52, 28, 58, 30, 60, 24, 54, 23, 53, 11, 41, 17, 47)(61, 91, 63, 93, 71, 101, 67, 97, 74, 104, 84, 114, 79, 109, 87, 117, 88, 118, 75, 105, 85, 115, 76, 106, 64, 94, 72, 102, 66, 96)(62, 92, 68, 98, 77, 107, 65, 95, 73, 103, 83, 113, 78, 108, 86, 116, 90, 120, 81, 111, 89, 119, 82, 112, 69, 99, 80, 110, 70, 100)
	L = (1, 64)(2, 69)(3, 72)(4, 75)(5, 62)(6, 76)(7, 61)(8, 80)(9, 81)(10, 82)(11, 66)(12, 85)(13, 68)(14, 63)(15, 79)(16, 88)(17, 70)(18, 65)(19, 67)(20, 89)(21, 78)(22, 90)(23, 77)(24, 71)(25, 87)(26, 73)(27, 74)(28, 84)(29, 86)(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, 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 E26.179
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.178 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
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, Y2^-3 * Y3^-1, (Y1^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1, Y3^5, Y2^-1 * Y3^2 * Y2 * Y3^-2, (Y3^2 * Y1^-1)^2, (Y3 * Y2^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 10, 40, 19, 49, 22, 52, 15, 45, 16, 46, 4, 34, 5, 35)(3, 33, 8, 38, 14, 44, 21, 51, 26, 56, 30, 60, 24, 54, 25, 55, 12, 42, 13, 43)(6, 36, 9, 39, 11, 41, 20, 50, 23, 53, 29, 59, 27, 57, 28, 58, 17, 47, 18, 48)(61, 91, 63, 93, 71, 101, 67, 97, 74, 104, 83, 113, 79, 109, 86, 116, 87, 117, 75, 105, 84, 114, 77, 107, 64, 94, 72, 102, 66, 96)(62, 92, 68, 98, 80, 110, 70, 100, 81, 111, 89, 119, 82, 112, 90, 120, 88, 118, 76, 106, 85, 115, 78, 108, 65, 95, 73, 103, 69, 99)
	L = (1, 64)(2, 65)(3, 72)(4, 75)(5, 76)(6, 77)(7, 61)(8, 73)(9, 78)(10, 62)(11, 66)(12, 84)(13, 85)(14, 63)(15, 79)(16, 82)(17, 87)(18, 88)(19, 67)(20, 69)(21, 68)(22, 70)(23, 71)(24, 86)(25, 90)(26, 74)(27, 83)(28, 89)(29, 80)(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) :: { ( 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 selfdual
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.179 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^-2, Y2^-1 * Y3^-1 * Y2^-2, (Y1, Y3^-1), (Y2^-1, Y1^-1), (R * Y3)^2, (Y3, Y2), (R * Y1)^2, (R * Y2)^2, (Y1^-1 * Y3)^2, Y3 * Y1^4, Y3^5, Y2^-1 * Y3^-1 * Y1^-1 * Y2^-2 * Y1, Y1^-1 * Y2^-1 * Y1^-1 * Y3 * Y2^-2, Y1 * Y2 * Y3^-1 * Y1 * Y2^-1 * 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 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 20, 50, 7, 37, 12, 42, 4, 34, 10, 40, 18, 48, 5, 35)(3, 33, 9, 39, 21, 51, 30, 60, 16, 46, 25, 55, 14, 44, 24, 54, 29, 59, 15, 45)(6, 36, 11, 41, 22, 52, 27, 57, 13, 43, 23, 53, 17, 47, 26, 56, 28, 58, 19, 49)(61, 91, 63, 93, 73, 103, 67, 97, 76, 106, 88, 118, 78, 108, 89, 119, 82, 112, 68, 98, 81, 111, 77, 107, 64, 94, 74, 104, 66, 96)(62, 92, 69, 99, 83, 113, 72, 102, 85, 115, 79, 109, 65, 95, 75, 105, 87, 117, 80, 110, 90, 120, 86, 116, 70, 100, 84, 114, 71, 101)
	L = (1, 64)(2, 70)(3, 74)(4, 68)(5, 72)(6, 77)(7, 61)(8, 78)(9, 84)(10, 80)(11, 86)(12, 62)(13, 66)(14, 81)(15, 85)(16, 63)(17, 82)(18, 67)(19, 83)(20, 65)(21, 89)(22, 88)(23, 71)(24, 90)(25, 69)(26, 87)(27, 79)(28, 73)(29, 76)(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) :: { ( 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 E26.177
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.180 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3 * Y1, (Y2, Y1^-1), Y2^3 * Y3^-1, (R * Y3)^2, (Y1^-1, Y2), (R * Y2)^2, (R * Y1)^2, Y3^5, (Y3^2 * Y1^-1)^2, (Y3^-1 * Y2^-2)^3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 10, 40, 19, 49, 22, 52, 15, 45, 16, 46, 4, 34, 5, 35)(3, 33, 8, 38, 14, 44, 20, 50, 27, 57, 29, 59, 25, 55, 26, 56, 12, 42, 13, 43)(6, 36, 9, 39, 18, 48, 21, 51, 28, 58, 30, 60, 23, 53, 24, 54, 11, 41, 17, 47)(61, 91, 63, 93, 71, 101, 64, 94, 72, 102, 83, 113, 75, 105, 85, 115, 88, 118, 79, 109, 87, 117, 78, 108, 67, 97, 74, 104, 66, 96)(62, 92, 68, 98, 77, 107, 65, 95, 73, 103, 84, 114, 76, 106, 86, 116, 90, 120, 82, 112, 89, 119, 81, 111, 70, 100, 80, 110, 69, 99)
	L = (1, 64)(2, 65)(3, 72)(4, 75)(5, 76)(6, 71)(7, 61)(8, 73)(9, 77)(10, 62)(11, 83)(12, 85)(13, 86)(14, 63)(15, 79)(16, 82)(17, 84)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 88)(24, 90)(25, 87)(26, 89)(27, 74)(28, 78)(29, 80)(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) :: { ( 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 E26.175
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.181 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-1 * Y1, Y2^-3 * Y3, (Y2^-1, Y1^-1), (R * Y3)^2, (Y2, Y3), (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y1 * Y2^-2 * Y1, Y3^5, (Y3^-1 * Y1^-1)^10 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 4, 34, 9, 39, 15, 45, 22, 52, 19, 49, 17, 47, 7, 37, 5, 35)(3, 33, 8, 38, 12, 42, 21, 51, 24, 54, 30, 60, 26, 56, 25, 55, 14, 44, 13, 43)(6, 36, 10, 40, 11, 41, 20, 50, 23, 53, 29, 59, 28, 58, 27, 57, 18, 48, 16, 46)(61, 91, 63, 93, 71, 101, 64, 94, 72, 102, 83, 113, 75, 105, 84, 114, 88, 118, 79, 109, 86, 116, 78, 108, 67, 97, 74, 104, 66, 96)(62, 92, 68, 98, 80, 110, 69, 99, 81, 111, 89, 119, 82, 112, 90, 120, 87, 117, 77, 107, 85, 115, 76, 106, 65, 95, 73, 103, 70, 100)
	L = (1, 64)(2, 69)(3, 72)(4, 75)(5, 62)(6, 71)(7, 61)(8, 81)(9, 82)(10, 80)(11, 83)(12, 84)(13, 68)(14, 63)(15, 79)(16, 70)(17, 65)(18, 66)(19, 67)(20, 89)(21, 90)(22, 77)(23, 88)(24, 86)(25, 73)(26, 74)(27, 76)(28, 78)(29, 87)(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) :: { ( 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 E26.174
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.182 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1 * Y3)^2, (Y2, Y3^-1), (Y3, Y1^-1), (R * Y2)^2, Y3 * Y2^-3, (Y2^-1, Y1^-1), (R * Y3)^2, Y3^-1 * Y1^2 * Y3^-1, (R * Y1)^2, Y1^2 * Y3^3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 19, 49, 7, 37, 12, 42, 4, 34, 10, 40, 17, 47, 5, 35)(3, 33, 9, 39, 21, 51, 28, 58, 16, 46, 25, 55, 14, 44, 24, 54, 27, 57, 15, 45)(6, 36, 11, 41, 22, 52, 30, 60, 20, 50, 26, 56, 13, 43, 23, 53, 29, 59, 18, 48)(61, 91, 63, 93, 73, 103, 64, 94, 74, 104, 82, 112, 68, 98, 81, 111, 89, 119, 77, 107, 87, 117, 80, 110, 67, 97, 76, 106, 66, 96)(62, 92, 69, 99, 83, 113, 70, 100, 84, 114, 90, 120, 79, 109, 88, 118, 78, 108, 65, 95, 75, 105, 86, 116, 72, 102, 85, 115, 71, 101)
	L = (1, 64)(2, 70)(3, 74)(4, 68)(5, 72)(6, 73)(7, 61)(8, 77)(9, 84)(10, 79)(11, 83)(12, 62)(13, 82)(14, 81)(15, 85)(16, 63)(17, 67)(18, 86)(19, 65)(20, 66)(21, 87)(22, 89)(23, 90)(24, 88)(25, 69)(26, 71)(27, 76)(28, 75)(29, 80)(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) :: { ( 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 E26.176
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.183 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 15, 15})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-2, (R * Y2)^2, (Y3^-1, Y2), (R * Y3)^2, (R * Y1)^2, (Y3, Y1), Y2 * Y3^-2 * Y1^2, Y1^3 * Y3^-1 * Y2^-1 * Y3^-1, Y3^6, Y3^-2 * Y1^-5, Y3^-1 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 30, 60, 21, 51, 18, 48, 6, 36, 3, 33, 9, 39, 14, 44, 25, 55, 27, 57, 17, 47, 5, 35)(4, 34, 10, 40, 23, 53, 28, 58, 19, 49, 7, 37, 11, 41, 16, 46, 12, 42, 24, 54, 26, 56, 29, 59, 20, 50, 13, 43, 15, 45)(61, 91, 63, 93, 62, 92, 69, 99, 68, 98, 74, 104, 82, 112, 85, 115, 90, 120, 87, 117, 81, 111, 77, 107, 78, 108, 65, 95, 66, 96)(64, 94, 72, 102, 70, 100, 84, 114, 83, 113, 86, 116, 88, 118, 89, 119, 79, 109, 80, 110, 67, 97, 73, 103, 71, 101, 75, 105, 76, 106)
	L = (1, 64)(2, 70)(3, 72)(4, 74)(5, 75)(6, 76)(7, 61)(8, 83)(9, 84)(10, 85)(11, 62)(12, 82)(13, 63)(14, 86)(15, 69)(16, 68)(17, 73)(18, 71)(19, 65)(20, 66)(21, 67)(22, 88)(23, 87)(24, 90)(25, 89)(26, 81)(27, 80)(28, 77)(29, 78)(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) :: { ( 20^30 ) }
Outer automorphisms :: reflexible
Dual of E26.169
Graph:: bipartite
	v = 4 e = 60 f = 6
	degree seq :: [ 30^4 ]

E26.184 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 15, 15, 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^-1 * Y3^-1 * Y1^-1, Y2 * Y3 * Y1^2, (R * Y3)^2, (Y2^-1, Y1^-1), (Y2^-1, Y3^-1), (R * Y2)^2, (Y3^-1, Y1^-1), (R * Y1)^2, Y2^3 * Y3^-2, Y3^5, Y1^-1 * Y2 * Y3 * Y1^-3, Y3 * Y2 * Y3 * Y2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 14, 44, 5, 35)(3, 33, 9, 39, 7, 37, 12, 42, 24, 54, 15, 45)(4, 34, 10, 40, 6, 36, 11, 41, 23, 53, 18, 48)(13, 43, 25, 55, 16, 46, 26, 56, 21, 51, 30, 60)(17, 47, 27, 57, 19, 49, 28, 58, 20, 50, 29, 59)(61, 91, 63, 93, 73, 103, 77, 107, 83, 113, 68, 98, 67, 97, 76, 106, 79, 109, 64, 94, 74, 104, 84, 114, 81, 111, 80, 110, 66, 96)(62, 92, 69, 99, 85, 115, 87, 117, 78, 108, 82, 112, 72, 102, 86, 116, 88, 118, 70, 100, 65, 95, 75, 105, 90, 120, 89, 119, 71, 101)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 66)(9, 65)(10, 87)(11, 88)(12, 62)(13, 84)(14, 83)(15, 82)(16, 63)(17, 81)(18, 89)(19, 73)(20, 76)(21, 67)(22, 71)(23, 80)(24, 68)(25, 75)(26, 69)(27, 90)(28, 85)(29, 86)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.203
Graph:: bipartite
	v = 7 e = 60 f = 3
	degree seq :: [ 12^5, 30^2 ]

E26.185 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 15, 15, 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), Y3^-1 * Y2^-1 * Y1^2, Y2^-1 * Y3^-1 * Y1^2, (R * Y2)^2, Y3 * Y1^-1 * Y2 * Y1^-1, (R * Y3)^2, (Y2^-1, Y3^-1), (R * Y1)^2, Y2^3 * Y3^-2, Y3^5, Y2^-1 * Y1^-1 * Y2^-1 * Y3^-2 * Y1^-1, (Y3 * Y2)^3, (Y3^-1 * Y1^-1)^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 17, 47, 5, 35)(3, 33, 9, 39, 23, 53, 19, 49, 7, 37, 12, 42)(4, 34, 10, 40, 24, 54, 18, 48, 6, 36, 11, 41)(13, 43, 25, 55, 21, 51, 30, 60, 14, 44, 26, 56)(15, 45, 27, 57, 20, 50, 29, 59, 16, 46, 28, 58)(61, 91, 63, 93, 73, 103, 75, 105, 84, 114, 77, 107, 67, 97, 74, 104, 76, 106, 64, 94, 68, 98, 83, 113, 81, 111, 80, 110, 66, 96)(62, 92, 69, 99, 85, 115, 87, 117, 78, 108, 65, 95, 72, 102, 86, 116, 88, 118, 70, 100, 82, 112, 79, 109, 90, 120, 89, 119, 71, 101)
	L = (1, 64)(2, 70)(3, 68)(4, 75)(5, 71)(6, 76)(7, 61)(8, 84)(9, 82)(10, 87)(11, 88)(12, 62)(13, 83)(14, 63)(15, 81)(16, 73)(17, 66)(18, 89)(19, 65)(20, 74)(21, 67)(22, 78)(23, 77)(24, 80)(25, 79)(26, 69)(27, 90)(28, 85)(29, 86)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.206
Graph:: bipartite
	v = 7 e = 60 f = 3
	degree seq :: [ 12^5, 30^2 ]

E26.186 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 15, 15, 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^-3, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), (Y1^-1, Y3^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2 * Y1 * Y3^2 * Y1, Y2^-1 * Y1 * Y3 * Y2^-1 * Y1, Y3^5, Y1^6, 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^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * 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 * Y1^2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 24, 54, 20, 50, 5, 35)(3, 33, 9, 39, 23, 53, 28, 58, 19, 49, 15, 45)(4, 34, 10, 40, 13, 43, 26, 56, 30, 60, 18, 48)(6, 36, 11, 41, 16, 46, 27, 57, 17, 47, 21, 51)(7, 37, 12, 42, 25, 55, 29, 59, 14, 44, 22, 52)(61, 91, 63, 93, 73, 103, 67, 97, 76, 106, 68, 98, 83, 113, 90, 120, 85, 115, 77, 107, 80, 110, 79, 109, 64, 94, 74, 104, 66, 96)(62, 92, 69, 99, 86, 116, 72, 102, 87, 117, 84, 114, 88, 118, 78, 108, 89, 119, 81, 111, 65, 95, 75, 105, 70, 100, 82, 112, 71, 101)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 73)(9, 82)(10, 81)(11, 75)(12, 62)(13, 66)(14, 80)(15, 89)(16, 63)(17, 83)(18, 87)(19, 85)(20, 90)(21, 88)(22, 65)(23, 67)(24, 86)(25, 68)(26, 71)(27, 69)(28, 72)(29, 84)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.205
Graph:: bipartite
	v = 7 e = 60 f = 3
	degree seq :: [ 12^5, 30^2 ]

E26.187 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 15, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^-3 * Y3^-1, (Y2^-1, Y1^-1), (Y2^-1, Y3), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1, Y3^-1), Y2 * Y1^-2 * Y3^2, Y2 * Y1 * Y3^-1 * Y2 * Y1, Y2^-1 * Y1^2 * Y3^-2, Y3^5, Y1^6, Y3^-1 * Y1^-1 * Y2 * Y3^-2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 24, 54, 20, 50, 5, 35)(3, 33, 9, 39, 19, 49, 28, 58, 23, 53, 15, 45)(4, 34, 10, 40, 25, 55, 29, 59, 13, 43, 18, 48)(6, 36, 11, 41, 17, 47, 27, 57, 16, 46, 21, 51)(7, 37, 12, 42, 14, 44, 26, 56, 30, 60, 22, 52)(61, 91, 63, 93, 73, 103, 67, 97, 76, 106, 80, 110, 83, 113, 85, 115, 90, 120, 77, 107, 68, 98, 79, 109, 64, 94, 74, 104, 66, 96)(62, 92, 69, 99, 78, 108, 72, 102, 81, 111, 65, 95, 75, 105, 89, 119, 82, 112, 87, 117, 84, 114, 88, 118, 70, 100, 86, 116, 71, 101)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 85)(9, 86)(10, 87)(11, 88)(12, 62)(13, 66)(14, 68)(15, 72)(16, 63)(17, 83)(18, 71)(19, 90)(20, 73)(21, 69)(22, 65)(23, 67)(24, 89)(25, 76)(26, 84)(27, 75)(28, 82)(29, 81)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.202
Graph:: bipartite
	v = 7 e = 60 f = 3
	degree seq :: [ 12^5, 30^2 ]

E26.188 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 15, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^3 * Y3^-1, (Y2, Y3), (Y1, Y2^-1), (Y1^-1, Y3), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^-1 * Y2^-1 * Y1^-1 * Y3^2, Y3^5, Y2^-1 * Y1^2 * Y3^-1 * Y2^-1, Y1^6, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 24, 54, 19, 49, 5, 35)(3, 33, 9, 39, 17, 47, 28, 58, 22, 52, 15, 45)(4, 34, 10, 40, 25, 55, 30, 60, 16, 46, 18, 48)(6, 36, 11, 41, 14, 44, 27, 57, 23, 53, 20, 50)(7, 37, 12, 42, 13, 43, 26, 56, 29, 59, 21, 51)(61, 91, 63, 93, 73, 103, 64, 94, 74, 104, 68, 98, 77, 107, 89, 119, 85, 115, 83, 113, 79, 109, 82, 112, 67, 97, 76, 106, 66, 96)(62, 92, 69, 99, 86, 116, 70, 100, 87, 117, 84, 114, 88, 118, 81, 111, 90, 120, 80, 110, 65, 95, 75, 105, 72, 102, 78, 108, 71, 101)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 73)(7, 61)(8, 85)(9, 87)(10, 88)(11, 86)(12, 62)(13, 68)(14, 89)(15, 71)(16, 63)(17, 83)(18, 69)(19, 76)(20, 72)(21, 65)(22, 66)(23, 67)(24, 90)(25, 82)(26, 84)(27, 81)(28, 80)(29, 79)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.201
Graph:: bipartite
	v = 7 e = 60 f = 3
	degree seq :: [ 12^5, 30^2 ]

E26.189 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 15, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-3, (Y1^-1, Y3), (Y2^-1, Y3^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1, Y2^-1), Y3 * Y1^2 * Y3 * Y2^-1, Y3 * Y1 * Y2^2 * Y1, Y3^5, Y1^6 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 24, 54, 19, 49, 5, 35)(3, 33, 9, 39, 22, 52, 27, 57, 17, 47, 15, 45)(4, 34, 10, 40, 16, 46, 26, 56, 30, 60, 18, 48)(6, 36, 11, 41, 23, 53, 28, 58, 14, 44, 20, 50)(7, 37, 12, 42, 25, 55, 29, 59, 13, 43, 21, 51)(61, 91, 63, 93, 73, 103, 64, 94, 74, 104, 79, 109, 77, 107, 85, 115, 90, 120, 83, 113, 68, 98, 82, 112, 67, 97, 76, 106, 66, 96)(62, 92, 69, 99, 81, 111, 70, 100, 80, 110, 65, 95, 75, 105, 89, 119, 78, 108, 88, 118, 84, 114, 87, 117, 72, 102, 86, 116, 71, 101)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 73)(7, 61)(8, 76)(9, 80)(10, 75)(11, 81)(12, 62)(13, 79)(14, 85)(15, 88)(16, 63)(17, 83)(18, 87)(19, 90)(20, 89)(21, 65)(22, 66)(23, 67)(24, 86)(25, 68)(26, 69)(27, 71)(28, 72)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.204
Graph:: bipartite
	v = 7 e = 60 f = 3
	degree seq :: [ 12^5, 30^2 ]

E26.190 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 15, 15, 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, (Y3^-1, Y1^-1), (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y1^6, Y3^-5 * Y1^2, Y2^5 * Y1^2, (Y3 * Y2^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 6, 36, 14, 44, 13, 43, 5, 35)(3, 33, 7, 37, 15, 45, 25, 55, 21, 51, 10, 40)(4, 34, 8, 38, 16, 46, 26, 56, 24, 54, 12, 42)(9, 39, 17, 47, 22, 52, 28, 58, 30, 60, 20, 50)(11, 41, 18, 48, 27, 57, 29, 59, 19, 49, 23, 53)(61, 91, 63, 93, 69, 99, 79, 109, 84, 114, 73, 103, 81, 111, 90, 120, 87, 117, 76, 106, 66, 96, 75, 105, 82, 112, 71, 101, 64, 94)(62, 92, 67, 97, 77, 107, 83, 113, 72, 102, 65, 95, 70, 100, 80, 110, 89, 119, 86, 116, 74, 104, 85, 115, 88, 118, 78, 108, 68, 98)
	L = (1, 64)(2, 68)(3, 61)(4, 71)(5, 72)(6, 76)(7, 62)(8, 78)(9, 63)(10, 65)(11, 82)(12, 83)(13, 84)(14, 86)(15, 66)(16, 87)(17, 67)(18, 88)(19, 69)(20, 70)(21, 73)(22, 75)(23, 77)(24, 79)(25, 74)(26, 89)(27, 90)(28, 85)(29, 80)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.209
Graph:: bipartite
	v = 7 e = 60 f = 3
	degree seq :: [ 12^5, 30^2 ]

E26.191 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 15, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, (R * Y2)^2, (Y1, Y2^-1), (Y1^-1, Y3^-1), (R * Y1)^2, (R * Y3)^2, Y1^2 * Y3^2 * Y2, Y3 * Y1 * Y3 * Y1 * Y2, Y1^6, Y1^2 * Y3^-5, Y1^-2 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 17, 47, 5, 35)(3, 33, 9, 39, 21, 51, 26, 56, 28, 58, 14, 44)(4, 34, 10, 40, 20, 50, 25, 55, 30, 60, 16, 46)(6, 36, 11, 41, 23, 53, 29, 59, 15, 45, 18, 48)(7, 37, 12, 42, 24, 54, 27, 57, 13, 43, 19, 49)(61, 91, 63, 93, 64, 94, 73, 103, 75, 105, 77, 107, 88, 118, 90, 120, 84, 114, 83, 113, 68, 98, 81, 111, 80, 110, 67, 97, 66, 96)(62, 92, 69, 99, 70, 100, 79, 109, 78, 108, 65, 95, 74, 104, 76, 106, 87, 117, 89, 119, 82, 112, 86, 116, 85, 115, 72, 102, 71, 101)
	L = (1, 64)(2, 70)(3, 73)(4, 75)(5, 76)(6, 63)(7, 61)(8, 80)(9, 79)(10, 78)(11, 69)(12, 62)(13, 77)(14, 87)(15, 88)(16, 89)(17, 90)(18, 74)(19, 65)(20, 66)(21, 67)(22, 85)(23, 81)(24, 68)(25, 71)(26, 72)(27, 82)(28, 84)(29, 86)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.207
Graph:: bipartite
	v = 7 e = 60 f = 3
	degree seq :: [ 12^5, 30^2 ]

E26.192 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 15, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1 * Y3, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2^-1, Y1^-1), (Y1, Y3), Y2 * Y3 * Y1^-1 * Y2 * Y1^-1, Y1^6, Y2^-5 * Y1^-2, 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 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 17, 47, 5, 35)(3, 33, 9, 39, 23, 53, 30, 60, 21, 51, 15, 45)(4, 34, 10, 40, 24, 54, 29, 59, 20, 50, 16, 46)(6, 36, 11, 41, 14, 44, 26, 56, 27, 57, 18, 48)(7, 37, 12, 42, 13, 43, 25, 55, 28, 58, 19, 49)(61, 91, 63, 93, 73, 103, 84, 114, 87, 117, 77, 107, 81, 111, 67, 97, 64, 94, 74, 104, 68, 98, 83, 113, 88, 118, 80, 110, 66, 96)(62, 92, 69, 99, 85, 115, 89, 119, 78, 108, 65, 95, 75, 105, 72, 102, 70, 100, 86, 116, 82, 112, 90, 120, 79, 109, 76, 106, 71, 101)
	L = (1, 64)(2, 70)(3, 74)(4, 63)(5, 76)(6, 67)(7, 61)(8, 84)(9, 86)(10, 69)(11, 72)(12, 62)(13, 68)(14, 73)(15, 71)(16, 75)(17, 80)(18, 79)(19, 65)(20, 81)(21, 66)(22, 89)(23, 87)(24, 83)(25, 82)(26, 85)(27, 88)(28, 77)(29, 90)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.208
Graph:: bipartite
	v = 7 e = 60 f = 3
	degree seq :: [ 12^5, 30^2 ]

E26.193 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 15, 15, 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 * Y1^-1, Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1, (Y2^-1, Y1^-1), (Y2^-1, Y3), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^4 * Y2, Y2 * Y3^-1 * Y2 * Y3^-1 * Y2, (Y2 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 17, 47, 6, 36, 11, 41, 23, 53, 13, 43, 21, 51, 26, 56, 15, 45, 3, 33, 9, 39, 20, 50, 5, 35)(4, 34, 10, 40, 22, 52, 29, 59, 19, 49, 25, 55, 30, 60, 27, 57, 16, 46, 24, 54, 28, 58, 14, 44, 7, 37, 12, 42, 18, 48)(61, 91, 63, 93, 73, 103, 77, 107, 65, 95, 75, 105, 83, 113, 68, 98, 80, 110, 86, 116, 71, 101, 62, 92, 69, 99, 81, 111, 66, 96)(64, 94, 74, 104, 87, 117, 89, 119, 78, 108, 88, 118, 90, 120, 82, 112, 72, 102, 84, 114, 85, 115, 70, 100, 67, 97, 76, 106, 79, 109)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 82)(9, 67)(10, 66)(11, 85)(12, 62)(13, 87)(14, 65)(15, 88)(16, 63)(17, 89)(18, 68)(19, 73)(20, 72)(21, 76)(22, 71)(23, 90)(24, 69)(25, 81)(26, 84)(27, 75)(28, 80)(29, 83)(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) :: { ( 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60 ) }
Outer automorphisms :: reflexible
Dual of E26.198
Graph:: bipartite
	v = 4 e = 60 f = 6
	degree seq :: [ 30^4 ]

E26.194 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 15, 15, 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 * Y2^-1, (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y3^-1), (Y3, Y1), (R * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y1^2, (Y2^-1 * Y3 * Y1^-1)^2, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-3, (Y1^-1 * Y3^-1)^6, (Y2^-1 * Y3)^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 14, 44, 26, 56, 28, 58, 18, 48, 6, 36, 3, 33, 9, 39, 22, 52, 27, 57, 21, 51, 17, 47, 5, 35)(4, 34, 10, 40, 23, 53, 29, 59, 20, 50, 13, 43, 25, 55, 16, 46, 12, 42, 24, 54, 30, 60, 19, 49, 7, 37, 11, 41, 15, 45)(61, 91, 63, 93, 62, 92, 69, 99, 68, 98, 82, 112, 74, 104, 87, 117, 86, 116, 81, 111, 88, 118, 77, 107, 78, 108, 65, 95, 66, 96)(64, 94, 72, 102, 70, 100, 84, 114, 83, 113, 90, 120, 89, 119, 79, 109, 80, 110, 67, 97, 73, 103, 71, 101, 85, 115, 75, 105, 76, 106)
	L = (1, 64)(2, 70)(3, 72)(4, 74)(5, 75)(6, 76)(7, 61)(8, 83)(9, 84)(10, 86)(11, 62)(12, 87)(13, 63)(14, 89)(15, 68)(16, 82)(17, 71)(18, 85)(19, 65)(20, 66)(21, 67)(22, 90)(23, 88)(24, 81)(25, 69)(26, 80)(27, 79)(28, 73)(29, 78)(30, 77)(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) :: { ( 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60 ) }
Outer automorphisms :: reflexible
Dual of E26.199
Graph:: bipartite
	v = 4 e = 60 f = 6
	degree seq :: [ 30^4 ]

E26.195 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 15, 15, 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, Y3^2 * Y2 * Y1^-1, Y3 * Y2 * Y3 * Y1^-1, (Y3, Y2^-1), (R * Y2)^2, (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y3^2 * Y2^-6, (Y2^3 * Y3^-1)^2, (Y1^-1 * Y3^-1)^6, (Y2^-1 * Y3)^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 6, 36, 9, 39, 17, 47, 19, 49, 25, 55, 27, 57, 28, 58, 20, 50, 21, 51, 11, 41, 12, 42, 3, 33, 5, 35)(4, 34, 8, 38, 15, 45, 18, 48, 24, 54, 26, 56, 29, 59, 30, 60, 22, 52, 23, 53, 13, 43, 16, 46, 7, 37, 10, 40, 14, 44)(61, 91, 63, 93, 71, 101, 80, 110, 87, 117, 79, 109, 69, 99, 62, 92, 65, 95, 72, 102, 81, 111, 88, 118, 85, 115, 77, 107, 66, 96)(64, 94, 70, 100, 76, 106, 83, 113, 90, 120, 86, 116, 78, 108, 68, 98, 74, 104, 67, 97, 73, 103, 82, 112, 89, 119, 84, 114, 75, 105)
	L = (1, 64)(2, 68)(3, 70)(4, 69)(5, 74)(6, 75)(7, 61)(8, 77)(9, 78)(10, 62)(11, 76)(12, 67)(13, 63)(14, 66)(15, 79)(16, 65)(17, 84)(18, 85)(19, 86)(20, 83)(21, 73)(22, 71)(23, 72)(24, 87)(25, 89)(26, 88)(27, 90)(28, 82)(29, 80)(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) :: { ( 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60 ) }
Outer automorphisms :: reflexible
Dual of E26.197
Graph:: bipartite
	v = 4 e = 60 f = 6
	degree seq :: [ 30^4 ]

E26.196 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 15, 15, 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 * Y2 * Y3^-1 * Y1, Y2^-1 * Y3^2 * Y1^-1, (Y3, Y2), (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^-5 * Y1^-1 * Y2^-2, (Y1^-1 * Y3^-1)^6 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 3, 33, 8, 38, 11, 41, 18, 48, 20, 50, 26, 56, 28, 58, 24, 54, 22, 52, 16, 46, 14, 44, 6, 36, 5, 35)(4, 34, 9, 39, 12, 42, 19, 49, 21, 51, 27, 57, 29, 59, 30, 60, 25, 55, 23, 53, 17, 47, 15, 45, 7, 37, 10, 40, 13, 43)(61, 91, 63, 93, 71, 101, 80, 110, 88, 118, 82, 112, 74, 104, 65, 95, 62, 92, 68, 98, 78, 108, 86, 116, 84, 114, 76, 106, 66, 96)(64, 94, 72, 102, 81, 111, 89, 119, 85, 115, 77, 107, 67, 97, 73, 103, 69, 99, 79, 109, 87, 117, 90, 120, 83, 113, 75, 105, 70, 100)
	L = (1, 64)(2, 69)(3, 72)(4, 68)(5, 73)(6, 70)(7, 61)(8, 79)(9, 71)(10, 62)(11, 81)(12, 78)(13, 63)(14, 67)(15, 65)(16, 75)(17, 66)(18, 87)(19, 80)(20, 89)(21, 86)(22, 77)(23, 74)(24, 83)(25, 76)(26, 90)(27, 88)(28, 85)(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) :: { ( 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60 ) }
Outer automorphisms :: reflexible
Dual of E26.200
Graph:: bipartite
	v = 4 e = 60 f = 6
	degree seq :: [ 30^4 ]

E26.197 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 15, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y1), Y1 * Y3^-1 * Y2^2, Y2^-2 * Y1^-1 * Y3, (Y2^-1, Y1), (R * Y2)^2, (Y3, Y2), Y3 * Y2^-1 * Y1^-1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1^2 * Y2^-1 * Y3^-1 * Y2^-1, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y1^-1 * Y2 * Y3^2 * Y1^-1 * Y2, Y2 * Y3 * Y2 * Y3 * Y1^-2, Y2^-1 * Y1^-1 * Y3^-3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 16, 46, 6, 36, 11, 41, 25, 55, 19, 49, 7, 37, 12, 42, 26, 56, 17, 47, 28, 58, 20, 50, 29, 59, 14, 44, 27, 57, 21, 51, 30, 60, 13, 43, 4, 34, 10, 40, 24, 54, 15, 45, 3, 33, 9, 39, 23, 53, 18, 48, 5, 35)(61, 91, 63, 93, 73, 103, 89, 119, 72, 102, 66, 96)(62, 92, 69, 99, 64, 94, 74, 104, 86, 116, 71, 101)(65, 95, 75, 105, 90, 120, 80, 110, 67, 97, 76, 106)(68, 98, 83, 113, 70, 100, 87, 117, 77, 107, 85, 115)(78, 108, 84, 114, 81, 111, 88, 118, 79, 109, 82, 112)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 73)(6, 69)(7, 61)(8, 84)(9, 87)(10, 88)(11, 83)(12, 62)(13, 86)(14, 85)(15, 89)(16, 63)(17, 82)(18, 90)(19, 65)(20, 66)(21, 67)(22, 75)(23, 81)(24, 80)(25, 78)(26, 68)(27, 79)(28, 76)(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) :: { ( 30^12 ), ( 30^60 ) }
Outer automorphisms :: reflexible
Dual of E26.195
Graph:: bipartite
	v = 6 e = 60 f = 4
	degree seq :: [ 12^5, 60 ]

E26.198 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 15, 15, 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, Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y2^-1 * Y1 * Y3^-1 * Y1, Y2^-1 * Y3^-2 * Y1^-1, (Y3, Y2^-1), Y3 * Y2 * Y1^-2, (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y2)^2, (R * Y3)^2, Y2^6, Y3^12 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 7, 37, 12, 42, 3, 33, 9, 39, 18, 48, 14, 44, 20, 50, 13, 43, 19, 49, 27, 57, 24, 54, 29, 59, 23, 53, 28, 58, 26, 56, 30, 60, 25, 55, 17, 47, 22, 52, 16, 46, 21, 51, 15, 45, 6, 36, 11, 41, 4, 34, 10, 40, 5, 35)(61, 91, 63, 93, 73, 103, 83, 113, 77, 107, 66, 96)(62, 92, 69, 99, 79, 109, 88, 118, 82, 112, 71, 101)(64, 94, 68, 98, 78, 108, 87, 117, 86, 116, 76, 106)(65, 95, 72, 102, 80, 110, 89, 119, 85, 115, 75, 105)(67, 97, 74, 104, 84, 114, 90, 120, 81, 111, 70, 100)
	L = (1, 64)(2, 70)(3, 68)(4, 75)(5, 71)(6, 76)(7, 61)(8, 65)(9, 67)(10, 66)(11, 81)(12, 62)(13, 78)(14, 63)(15, 82)(16, 85)(17, 86)(18, 72)(19, 74)(20, 69)(21, 77)(22, 90)(23, 87)(24, 73)(25, 88)(26, 89)(27, 80)(28, 84)(29, 79)(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) :: { ( 30^12 ), ( 30^60 ) }
Outer automorphisms :: reflexible
Dual of E26.193
Graph:: bipartite
	v = 6 e = 60 f = 4
	degree seq :: [ 12^5, 60 ]

E26.199 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 15, 15, 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 * Y2^-1 * Y3^-1, (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y1), Y3 * Y2^2 * Y1^-1, Y3^-1 * Y2^-2 * Y1, (R * Y1)^2, Y1 * Y3^-1 * Y2^4, Y2^-1 * Y3^-4 * Y1^-1, Y2^-1 * Y1^-2 * Y3^-1 * Y1^-2, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 13, 43, 3, 33, 9, 39, 23, 53, 20, 50, 7, 37, 12, 42, 26, 56, 15, 45, 28, 58, 14, 44, 27, 57, 17, 47, 29, 59, 21, 51, 30, 60, 16, 46, 4, 34, 10, 40, 24, 54, 19, 49, 6, 36, 11, 41, 25, 55, 18, 48, 5, 35)(61, 91, 63, 93, 72, 102, 87, 117, 76, 106, 66, 96)(62, 92, 69, 99, 86, 116, 77, 107, 64, 94, 71, 101)(65, 95, 73, 103, 67, 97, 74, 104, 90, 120, 79, 109)(68, 98, 83, 113, 75, 105, 89, 119, 70, 100, 85, 115)(78, 108, 82, 112, 80, 110, 88, 118, 81, 111, 84, 114)
	L = (1, 64)(2, 70)(3, 71)(4, 75)(5, 76)(6, 77)(7, 61)(8, 84)(9, 85)(10, 88)(11, 89)(12, 62)(13, 66)(14, 63)(15, 82)(16, 86)(17, 83)(18, 90)(19, 87)(20, 65)(21, 67)(22, 79)(23, 78)(24, 74)(25, 81)(26, 68)(27, 69)(28, 73)(29, 80)(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) :: { ( 30^12 ), ( 30^60 ) }
Outer automorphisms :: reflexible
Dual of E26.194
Graph:: bipartite
	v = 6 e = 60 f = 4
	degree seq :: [ 12^5, 60 ]

E26.200 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 15, 15, 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, Y3^-1 * Y1^-2 * Y2, (Y3, Y1^-1), (R * Y3)^2, Y3^-1 * Y1^-1 * Y2 * Y1^-1, Y3 * Y1^-1 * Y3 * Y2^-1, Y2 * Y1 * Y3^-2, (R * Y2)^2, Y3^2 * Y2^-1 * Y1^-1, (R * Y1)^2, (Y2, Y1), Y2^6, 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 * Y1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 4, 34, 10, 40, 3, 33, 9, 39, 18, 48, 14, 44, 20, 50, 13, 43, 19, 49, 27, 57, 24, 54, 29, 59, 23, 53, 28, 58, 26, 56, 30, 60, 25, 55, 16, 46, 21, 51, 17, 47, 22, 52, 15, 45, 6, 36, 11, 41, 7, 37, 12, 42, 5, 35)(61, 91, 63, 93, 73, 103, 83, 113, 76, 106, 66, 96)(62, 92, 69, 99, 79, 109, 88, 118, 81, 111, 71, 101)(64, 94, 74, 104, 84, 114, 90, 120, 82, 112, 72, 102)(65, 95, 70, 100, 80, 110, 89, 119, 85, 115, 75, 105)(67, 97, 68, 98, 78, 108, 87, 117, 86, 116, 77, 107)
	L = (1, 64)(2, 70)(3, 74)(4, 69)(5, 68)(6, 72)(7, 61)(8, 63)(9, 80)(10, 78)(11, 65)(12, 62)(13, 84)(14, 79)(15, 67)(16, 82)(17, 66)(18, 73)(19, 89)(20, 87)(21, 75)(22, 71)(23, 90)(24, 88)(25, 77)(26, 76)(27, 83)(28, 85)(29, 86)(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) :: { ( 30^12 ), ( 30^60 ) }
Outer automorphisms :: reflexible
Dual of E26.196
Graph:: bipartite
	v = 6 e = 60 f = 4
	degree seq :: [ 12^5, 60 ]

E26.201 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 15, 15, 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, (Y2, Y1^-1), Y1 * Y2^-2 * Y1, (Y2^-1, Y3^-1), (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y3)^2, Y3^-2 * Y1^-3, Y1 * Y2 * Y3^2 * Y2, Y3^5, (Y1^-1 * Y3^-1)^15, Y1^2 * Y2^28 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 28, 58, 16, 46, 4, 34, 10, 40, 20, 50, 7, 37, 12, 42, 24, 54, 15, 45, 18, 48, 5, 35)(3, 33, 9, 39, 23, 53, 29, 59, 17, 47, 26, 56, 13, 43, 21, 51, 27, 57, 14, 44, 25, 55, 30, 60, 19, 49, 6, 36, 11, 41)(61, 91, 63, 93, 68, 98, 83, 113, 88, 118, 77, 107, 64, 94, 73, 103, 80, 110, 87, 117, 72, 102, 85, 115, 75, 105, 79, 109, 65, 95, 71, 101, 62, 92, 69, 99, 82, 112, 89, 119, 76, 106, 86, 116, 70, 100, 81, 111, 67, 97, 74, 104, 84, 114, 90, 120, 78, 108, 66, 96)
	L = (1, 64)(2, 70)(3, 73)(4, 75)(5, 76)(6, 77)(7, 61)(8, 80)(9, 81)(10, 78)(11, 86)(12, 62)(13, 79)(14, 63)(15, 82)(16, 84)(17, 85)(18, 88)(19, 89)(20, 65)(21, 66)(22, 67)(23, 87)(24, 68)(25, 69)(26, 90)(27, 71)(28, 72)(29, 74)(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) :: { ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E26.188
Graph:: bipartite
	v = 3 e = 60 f = 7
	degree seq :: [ 30^2, 60 ]

E26.202 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 15, 15, 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, Y1^3 * Y3^-1, (Y1^-1, Y3^-1), (Y3, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^5, (Y3^2 * Y1^-1)^3, (Y3^-1 * Y1^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 4, 34, 10, 40, 20, 50, 14, 44, 22, 52, 28, 58, 19, 49, 23, 53, 17, 47, 7, 37, 11, 41, 5, 35)(3, 33, 9, 39, 15, 45, 12, 42, 21, 51, 26, 56, 24, 54, 30, 60, 29, 59, 25, 55, 27, 57, 18, 48, 13, 43, 16, 46, 6, 36)(61, 91, 63, 93, 62, 92, 69, 99, 68, 98, 75, 105, 64, 94, 72, 102, 70, 100, 81, 111, 80, 110, 86, 116, 74, 104, 84, 114, 82, 112, 90, 120, 88, 118, 89, 119, 79, 109, 85, 115, 83, 113, 87, 117, 77, 107, 78, 108, 67, 97, 73, 103, 71, 101, 76, 106, 65, 95, 66, 96)
	L = (1, 64)(2, 70)(3, 72)(4, 74)(5, 68)(6, 75)(7, 61)(8, 80)(9, 81)(10, 82)(11, 62)(12, 84)(13, 63)(14, 79)(15, 86)(16, 69)(17, 65)(18, 66)(19, 67)(20, 88)(21, 90)(22, 83)(23, 71)(24, 85)(25, 73)(26, 89)(27, 76)(28, 77)(29, 78)(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) :: { ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E26.187
Graph:: bipartite
	v = 3 e = 60 f = 7
	degree seq :: [ 30^2, 60 ]

E26.203 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 15, 15, 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, Y3^-1 * Y1^-3, (Y3, Y1^-1), (Y2^-1, Y3^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3 * Y1 * Y2^-1 * Y1 * Y2^-1, Y3^5, (Y2^-1 * Y3)^6 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 7, 37, 11, 41, 20, 50, 19, 49, 23, 53, 27, 57, 15, 45, 21, 51, 16, 46, 4, 34, 9, 39, 5, 35)(3, 33, 6, 36, 10, 40, 14, 44, 18, 48, 22, 52, 26, 56, 29, 59, 30, 60, 24, 54, 28, 58, 25, 55, 12, 42, 17, 47, 13, 43)(61, 91, 63, 93, 65, 95, 73, 103, 69, 99, 77, 107, 64, 94, 72, 102, 76, 106, 85, 115, 81, 111, 88, 118, 75, 105, 84, 114, 87, 117, 90, 120, 83, 113, 89, 119, 79, 109, 86, 116, 80, 110, 82, 112, 71, 101, 78, 108, 67, 97, 74, 104, 68, 98, 70, 100, 62, 92, 66, 96)
	L = (1, 64)(2, 69)(3, 72)(4, 75)(5, 76)(6, 77)(7, 61)(8, 65)(9, 81)(10, 73)(11, 62)(12, 84)(13, 85)(14, 63)(15, 79)(16, 87)(17, 88)(18, 66)(19, 67)(20, 68)(21, 83)(22, 70)(23, 71)(24, 86)(25, 90)(26, 74)(27, 80)(28, 89)(29, 78)(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) :: { ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E26.184
Graph:: bipartite
	v = 3 e = 60 f = 7
	degree seq :: [ 30^2, 60 ]

E26.204 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 15, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y2 * Y1^-1, Y2^-1 * Y3 * Y1 * Y2^-1, (Y3^-1, Y1^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y1^3 * Y3^2, Y2 * Y1 * Y3 * Y1 * Y2, Y3^5, Y1^-1 * Y3^2 * Y1^-1 * Y3 * Y1^-1, Y2^24 * Y3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 21, 51, 25, 55, 16, 46, 4, 34, 10, 40, 19, 49, 7, 37, 12, 42, 23, 53, 15, 45, 17, 47, 5, 35)(3, 33, 9, 39, 20, 50, 24, 54, 30, 60, 27, 57, 13, 43, 18, 48, 6, 36, 11, 41, 22, 52, 29, 59, 26, 56, 28, 58, 14, 44)(61, 91, 63, 93, 70, 100, 78, 108, 65, 95, 74, 104, 64, 94, 73, 103, 77, 107, 88, 118, 76, 106, 87, 117, 75, 105, 86, 116, 85, 115, 90, 120, 83, 113, 89, 119, 81, 111, 84, 114, 72, 102, 82, 112, 68, 98, 80, 110, 67, 97, 71, 101, 62, 92, 69, 99, 79, 109, 66, 96)
	L = (1, 64)(2, 70)(3, 73)(4, 75)(5, 76)(6, 74)(7, 61)(8, 79)(9, 78)(10, 77)(11, 63)(12, 62)(13, 86)(14, 87)(15, 81)(16, 83)(17, 85)(18, 88)(19, 65)(20, 66)(21, 67)(22, 69)(23, 68)(24, 71)(25, 72)(26, 84)(27, 89)(28, 90)(29, 80)(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) :: { ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E26.189
Graph:: bipartite
	v = 3 e = 60 f = 7
	degree seq :: [ 30^2, 60 ]

E26.205 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 15, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3 * Y2^2, Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y1^2 * Y3^-1 * Y1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2^-2 * Y3^-1, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), Y3^5, Y3 * Y2^-6, Y1 * Y3^2 * Y1 * Y3^2 * Y1 * Y3^2 * Y1 * Y3^2 * Y1 * Y3^2 * Y1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 4, 34, 10, 40, 21, 51, 17, 47, 24, 54, 28, 58, 19, 49, 26, 56, 13, 43, 7, 37, 12, 42, 5, 35)(3, 33, 9, 39, 20, 50, 14, 44, 6, 36, 11, 41, 22, 52, 18, 48, 25, 55, 29, 59, 30, 60, 27, 57, 16, 46, 23, 53, 15, 45)(61, 91, 63, 93, 73, 103, 87, 117, 84, 114, 78, 108, 64, 94, 74, 104, 65, 95, 75, 105, 86, 116, 90, 120, 77, 107, 82, 112, 68, 98, 80, 110, 72, 102, 83, 113, 79, 109, 89, 119, 81, 111, 71, 101, 62, 92, 69, 99, 67, 97, 76, 106, 88, 118, 85, 115, 70, 100, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 68)(6, 78)(7, 61)(8, 81)(9, 66)(10, 84)(11, 85)(12, 62)(13, 65)(14, 82)(15, 80)(16, 63)(17, 79)(18, 90)(19, 67)(20, 71)(21, 88)(22, 89)(23, 69)(24, 86)(25, 87)(26, 72)(27, 75)(28, 73)(29, 76)(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) :: { ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E26.186
Graph:: bipartite
	v = 3 e = 60 f = 7
	degree seq :: [ 30^2, 60 ]

E26.206 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 15, 15, 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 * Y2^2 * Y1^-1, Y2 * Y3 * Y2 * Y1^-1, (R * Y2)^2, (Y3, Y1), (Y3, Y2^-1), (R * Y1)^2, (R * Y3)^2, Y3^5, Y2^-1 * Y3^-2 * Y2^-1 * Y1^-2, Y1^-1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-2, (Y3^-1 * Y1)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 7, 37, 12, 42, 22, 52, 19, 49, 26, 56, 28, 58, 15, 45, 24, 54, 16, 46, 4, 34, 10, 40, 5, 35)(3, 33, 9, 39, 20, 50, 14, 44, 23, 53, 29, 59, 27, 57, 30, 60, 17, 47, 25, 55, 18, 48, 6, 36, 11, 41, 21, 51, 13, 43)(61, 91, 63, 93, 72, 102, 83, 113, 88, 118, 77, 107, 64, 94, 71, 101, 62, 92, 69, 99, 82, 112, 89, 119, 75, 105, 85, 115, 70, 100, 81, 111, 68, 98, 80, 110, 79, 109, 87, 117, 84, 114, 78, 108, 65, 95, 73, 103, 67, 97, 74, 104, 86, 116, 90, 120, 76, 106, 66, 96)
	L = (1, 64)(2, 70)(3, 71)(4, 75)(5, 76)(6, 77)(7, 61)(8, 65)(9, 81)(10, 84)(11, 85)(12, 62)(13, 66)(14, 63)(15, 79)(16, 88)(17, 89)(18, 90)(19, 67)(20, 73)(21, 78)(22, 68)(23, 69)(24, 86)(25, 87)(26, 72)(27, 74)(28, 82)(29, 80)(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) :: { ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E26.185
Graph:: bipartite
	v = 3 e = 60 f = 7
	degree seq :: [ 30^2, 60 ]

E26.207 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 15, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3 * Y1, Y1^-1 * Y2^2, (R * Y3)^2, (R * Y2)^2, (Y3, Y2), (R * Y1)^2, Y3^-7 * Y1, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 9, 39, 15, 45, 17, 47, 23, 53, 25, 55, 28, 58, 20, 50, 21, 51, 12, 42, 13, 43, 4, 34, 5, 35)(3, 33, 8, 38, 11, 41, 16, 46, 19, 49, 24, 54, 27, 57, 30, 60, 29, 59, 26, 56, 22, 52, 18, 48, 14, 44, 10, 40, 6, 36)(61, 91, 63, 93, 62, 92, 68, 98, 67, 97, 71, 101, 69, 99, 76, 106, 75, 105, 79, 109, 77, 107, 84, 114, 83, 113, 87, 117, 85, 115, 90, 120, 88, 118, 89, 119, 80, 110, 86, 116, 81, 111, 82, 112, 72, 102, 78, 108, 73, 103, 74, 104, 64, 94, 70, 100, 65, 95, 66, 96)
	L = (1, 64)(2, 65)(3, 70)(4, 72)(5, 73)(6, 74)(7, 61)(8, 66)(9, 62)(10, 78)(11, 63)(12, 80)(13, 81)(14, 82)(15, 67)(16, 68)(17, 69)(18, 86)(19, 71)(20, 85)(21, 88)(22, 89)(23, 75)(24, 76)(25, 77)(26, 90)(27, 79)(28, 83)(29, 87)(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) :: { ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E26.191
Graph:: bipartite
	v = 3 e = 60 f = 7
	degree seq :: [ 30^2, 60 ]

E26.208 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 15, 15, 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, Y3 * Y1^-1, (R * Y1)^2, (Y1, Y2^-1), (R * Y3)^2, Y2^2 * Y3 * Y2^2, (R * Y2 * Y3^-1)^2, Y1^4 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2^2 * Y3^-7, (Y2 * Y1^-1 * Y2 * Y3^-1)^3, (Y3 * Y2^-1)^6, (Y3^-1 * Y1^-1)^15 ]
Map:: non-degenerate
	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, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 74)(7, 75)(8, 76)(9, 73)(10, 63)(11, 64)(12, 65)(13, 77)(14, 82)(15, 83)(16, 84)(17, 85)(18, 69)(19, 70)(20, 71)(21, 72)(22, 86)(23, 90)(24, 87)(25, 88)(26, 78)(27, 79)(28, 80)(29, 81)(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) :: { ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E26.192
Graph:: bipartite
	v = 3 e = 60 f = 7
	degree seq :: [ 30^2, 60 ]

E26.209 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 15, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^-1, (Y1^-1, Y2^-1), (R * Y1)^2, (Y3^-1, Y2), (R * Y2)^2, (R * Y3)^2, Y3 * Y2^4, Y2^-1 * Y3 * Y1^-3 * Y2^-1, Y2 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y1^11 * Y2^2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 12, 42, 26, 56, 16, 46, 4, 34, 7, 37, 11, 41, 25, 55, 20, 50, 28, 58, 18, 48, 5, 35)(3, 33, 9, 39, 23, 53, 17, 47, 21, 51, 29, 59, 30, 60, 13, 43, 15, 45, 27, 57, 19, 49, 6, 36, 10, 40, 24, 54, 14, 44)(61, 91, 63, 93, 72, 102, 81, 111, 67, 97, 75, 105, 88, 118, 70, 100, 62, 92, 69, 99, 86, 116, 89, 119, 71, 101, 87, 117, 78, 108, 84, 114, 68, 98, 83, 113, 76, 106, 90, 120, 85, 115, 79, 109, 65, 95, 74, 104, 82, 112, 77, 107, 64, 94, 73, 103, 80, 110, 66, 96)
	L = (1, 64)(2, 67)(3, 73)(4, 65)(5, 76)(6, 77)(7, 61)(8, 71)(9, 75)(10, 81)(11, 62)(12, 80)(13, 74)(14, 90)(15, 63)(16, 78)(17, 79)(18, 86)(19, 83)(20, 82)(21, 66)(22, 85)(23, 87)(24, 89)(25, 68)(26, 88)(27, 69)(28, 72)(29, 70)(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) :: { ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E26.190
Graph:: bipartite
	v = 3 e = 60 f = 7
	degree seq :: [ 30^2, 60 ]

E26.210 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 10, 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, Y1^-1 * Y3 * Y2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^-2 * Y3^3, Y1^6, Y2^10, (Y3^-1 * Y1^-1)^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 20, 50, 15, 45, 5, 35)(3, 33, 9, 39, 21, 51, 26, 56, 17, 47, 7, 37)(4, 34, 10, 40, 22, 52, 25, 55, 16, 46, 6, 36)(11, 41, 23, 53, 29, 59, 28, 58, 19, 49, 12, 42)(13, 43, 24, 54, 30, 60, 27, 57, 18, 48, 14, 44)(61, 91, 63, 93, 71, 101, 84, 114, 82, 112, 80, 110, 86, 116, 88, 118, 78, 108, 66, 96)(62, 92, 69, 99, 83, 113, 90, 120, 85, 115, 75, 105, 77, 107, 79, 109, 74, 104, 64, 94)(65, 95, 67, 97, 72, 102, 73, 103, 70, 100, 68, 98, 81, 111, 89, 119, 87, 117, 76, 106)
	L = (1, 64)(2, 70)(3, 62)(4, 73)(5, 66)(6, 74)(7, 61)(8, 82)(9, 68)(10, 84)(11, 69)(12, 63)(13, 71)(14, 72)(15, 76)(16, 78)(17, 65)(18, 79)(19, 67)(20, 85)(21, 80)(22, 90)(23, 81)(24, 83)(25, 87)(26, 75)(27, 88)(28, 77)(29, 86)(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) :: { ( 60^12 ), ( 60^20 ) }
Outer automorphisms :: reflexible
Dual of E26.217
Graph:: bipartite
	v = 8 e = 60 f = 2
	degree seq :: [ 12^5, 20^3 ]

E26.211 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 10, 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, Y2^-1 * Y3^-2 * Y2^-1, (Y1^-1, Y3), (R * Y1)^2, (Y3, Y2^-1), (Y2^-1, Y1), (R * Y3)^2, (R * Y2)^2, Y1^2 * Y3^-3, Y3^-2 * Y1^-1 * Y2 * Y1^-2, Y1^2 * Y3 * Y1 * Y3 * Y2^-1, Y1^10, Y2^21 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 23, 53, 29, 59, 14, 44, 26, 56, 30, 60, 20, 50, 5, 35)(3, 33, 9, 39, 19, 49, 28, 58, 22, 52, 7, 37, 12, 42, 17, 47, 27, 57, 15, 45)(4, 34, 10, 40, 24, 54, 16, 46, 21, 51, 6, 36, 11, 41, 25, 55, 13, 43, 18, 48)(61, 91, 63, 93, 73, 103, 83, 113, 88, 118, 70, 100, 86, 116, 72, 102, 81, 111, 65, 95, 75, 105, 85, 115, 68, 98, 79, 109, 64, 94, 74, 104, 67, 97, 76, 106, 80, 110, 87, 117, 71, 101, 62, 92, 69, 99, 78, 108, 89, 119, 82, 112, 84, 114, 90, 120, 77, 107, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 84)(9, 86)(10, 87)(11, 88)(12, 62)(13, 67)(14, 66)(15, 89)(16, 63)(17, 68)(18, 72)(19, 90)(20, 73)(21, 69)(22, 65)(23, 76)(24, 75)(25, 82)(26, 71)(27, 83)(28, 80)(29, 81)(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) :: { ( 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60 ), ( 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60 ) }
Outer automorphisms :: reflexible
Dual of E26.216
Graph:: bipartite
	v = 4 e = 60 f = 6
	degree seq :: [ 20^3, 60 ]

E26.212 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 10, 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 * Y3^-1 * Y2, Y1^-1 * Y3 * Y2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^10, (Y3^-1 * Y1^-1)^6, Y1 * Y3^12 * Y1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 14, 44, 20, 50, 26, 56, 23, 53, 17, 47, 11, 41, 5, 35)(3, 33, 9, 39, 15, 45, 21, 51, 27, 57, 30, 60, 25, 55, 19, 49, 13, 43, 7, 37)(4, 34, 10, 40, 16, 46, 22, 52, 28, 58, 29, 59, 24, 54, 18, 48, 12, 42, 6, 36)(61, 91, 63, 93, 64, 94, 62, 92, 69, 99, 70, 100, 68, 98, 75, 105, 76, 106, 74, 104, 81, 111, 82, 112, 80, 110, 87, 117, 88, 118, 86, 116, 90, 120, 89, 119, 83, 113, 85, 115, 84, 114, 77, 107, 79, 109, 78, 108, 71, 101, 73, 103, 72, 102, 65, 95, 67, 97, 66, 96)
	L = (1, 64)(2, 70)(3, 62)(4, 69)(5, 66)(6, 63)(7, 61)(8, 76)(9, 68)(10, 75)(11, 72)(12, 67)(13, 65)(14, 82)(15, 74)(16, 81)(17, 78)(18, 73)(19, 71)(20, 88)(21, 80)(22, 87)(23, 84)(24, 79)(25, 77)(26, 89)(27, 86)(28, 90)(29, 85)(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) :: { ( 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60 ), ( 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60 ) }
Outer automorphisms :: reflexible
Dual of E26.215
Graph:: bipartite
	v = 4 e = 60 f = 6
	degree seq :: [ 20^3, 60 ]

E26.213 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 10, 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^-1 * Y2^-1, (Y1^-1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y1 * Y3 * Y1^2 * Y2, Y1 * Y2^-1 * Y3 * Y1 * Y2^-1, Y1 * Y3^-2 * Y1 * Y3^-1, Y2^-1 * Y1^-1 * Y3 * Y2 * Y1 * Y3^-1, Y3 * Y1^-17 * Y2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 26, 56, 30, 60, 29, 59, 14, 44, 20, 50, 5, 35)(3, 33, 9, 39, 21, 51, 7, 37, 12, 42, 17, 47, 25, 55, 27, 57, 19, 49, 15, 45)(4, 34, 10, 40, 13, 43, 6, 36, 11, 41, 16, 46, 24, 54, 28, 58, 23, 53, 18, 48)(61, 91, 63, 93, 73, 103, 65, 95, 75, 105, 70, 100, 80, 110, 79, 109, 64, 94, 74, 104, 87, 117, 78, 108, 89, 119, 85, 115, 83, 113, 90, 120, 77, 107, 88, 118, 86, 116, 72, 102, 84, 114, 82, 112, 67, 97, 76, 106, 68, 98, 81, 111, 71, 101, 62, 92, 69, 99, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 73)(9, 80)(10, 85)(11, 75)(12, 62)(13, 87)(14, 88)(15, 89)(16, 63)(17, 68)(18, 72)(19, 90)(20, 83)(21, 65)(22, 66)(23, 67)(24, 69)(25, 82)(26, 71)(27, 86)(28, 81)(29, 84)(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) :: { ( 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60 ), ( 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60 ) }
Outer automorphisms :: reflexible
Dual of E26.214
Graph:: bipartite
	v = 4 e = 60 f = 6
	degree seq :: [ 20^3, 60 ]

E26.214 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 10, 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 * Y1^2, Y3 * Y1^-2 * Y3, (R * Y2)^2, (Y1^-1, Y3), (Y3^-1 * Y1)^2, (Y2, Y3), (Y1^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2^2 * Y3 * Y2, Y2^3 * Y1 * Y3^-1, Y2^-1 * Y1^-2 * Y3^-2 * Y1^-1, Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-2, Y3^2 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 23, 53, 19, 49, 6, 36, 11, 41, 26, 56, 30, 60, 16, 46, 21, 51, 14, 44, 27, 57, 20, 50, 7, 37, 12, 42, 4, 34, 10, 40, 25, 55, 22, 52, 13, 43, 17, 47, 28, 58, 29, 59, 15, 45, 3, 33, 9, 39, 24, 54, 18, 48, 5, 35)(61, 91, 63, 93, 73, 103, 72, 102, 81, 111, 66, 96)(62, 92, 69, 99, 77, 107, 64, 94, 74, 104, 71, 101)(65, 95, 75, 105, 82, 112, 67, 97, 76, 106, 79, 109)(68, 98, 84, 114, 88, 118, 70, 100, 87, 117, 86, 116)(78, 108, 89, 119, 85, 115, 80, 110, 90, 120, 83, 113)
	L = (1, 64)(2, 70)(3, 74)(4, 68)(5, 72)(6, 77)(7, 61)(8, 85)(9, 87)(10, 83)(11, 88)(12, 62)(13, 71)(14, 84)(15, 81)(16, 63)(17, 86)(18, 67)(19, 73)(20, 65)(21, 69)(22, 66)(23, 82)(24, 80)(25, 79)(26, 89)(27, 78)(28, 90)(29, 76)(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) :: { ( 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, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60 ) }
Outer automorphisms :: reflexible
Dual of E26.213
Graph:: bipartite
	v = 6 e = 60 f = 4
	degree seq :: [ 12^5, 60 ]

E26.215 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 10, 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 * Y3^-2 * Y1, Y3^2 * Y2^-1 * Y1^-1, Y2^-1 * Y3^2 * Y1^-1, (Y2, Y1^-1), (R * Y2)^2, (Y2, Y3^-1), (R * Y3)^2, (R * Y1)^2, Y2^6, Y2^2 * Y3 * Y2 * Y3 * Y2^2 * Y1^-1, Y2^-2 * Y3^-10 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 10, 40, 15, 45, 6, 36, 9, 39, 17, 47, 20, 50, 25, 55, 16, 46, 19, 49, 26, 56, 28, 58, 29, 59, 21, 51, 27, 57, 30, 60, 22, 52, 23, 53, 11, 41, 18, 48, 24, 54, 12, 42, 13, 43, 3, 33, 8, 38, 14, 44, 4, 34, 5, 35)(61, 91, 63, 93, 71, 101, 81, 111, 76, 106, 66, 96)(62, 92, 68, 98, 78, 108, 87, 117, 79, 109, 69, 99)(64, 94, 72, 102, 82, 112, 88, 118, 80, 110, 70, 100)(65, 95, 73, 103, 83, 113, 89, 119, 85, 115, 75, 105)(67, 97, 74, 104, 84, 114, 90, 120, 86, 116, 77, 107)
	L = (1, 64)(2, 65)(3, 72)(4, 68)(5, 74)(6, 70)(7, 61)(8, 73)(9, 75)(10, 62)(11, 82)(12, 78)(13, 84)(14, 63)(15, 67)(16, 80)(17, 66)(18, 83)(19, 85)(20, 69)(21, 88)(22, 87)(23, 90)(24, 71)(25, 77)(26, 76)(27, 89)(28, 79)(29, 86)(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) :: { ( 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, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60 ) }
Outer automorphisms :: reflexible
Dual of E26.212
Graph:: bipartite
	v = 6 e = 60 f = 4
	degree seq :: [ 12^5, 60 ]

E26.216 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 10, 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), (R * Y1)^2, (Y1^-1, Y3), (R * Y2)^2, (R * Y3)^2, (Y1^-1, Y2^-1), Y3^-1 * Y1^2 * Y2^2, Y1^2 * Y3 * Y1 * Y2^-1, Y2 * Y1 * Y3^-1 * Y2 * Y1, Y3^-2 * Y2^-1 * Y3^-1 * Y1, Y3 * Y1^3 * Y2^-1, Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-2, Y2^-1 * Y1^-1 * Y3^23 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 16, 46, 21, 51, 6, 36, 11, 41, 22, 52, 7, 37, 12, 42, 23, 53, 28, 58, 29, 59, 24, 54, 17, 47, 27, 57, 25, 55, 14, 44, 26, 56, 30, 60, 13, 43, 18, 48, 4, 34, 10, 40, 15, 45, 3, 33, 9, 39, 19, 49, 20, 50, 5, 35)(61, 91, 63, 93, 73, 103, 87, 117, 83, 113, 66, 96)(62, 92, 69, 99, 78, 108, 85, 115, 88, 118, 71, 101)(64, 94, 74, 104, 89, 119, 82, 112, 68, 98, 79, 109)(65, 95, 75, 105, 90, 120, 77, 107, 72, 102, 81, 111)(67, 97, 76, 106, 80, 110, 70, 100, 86, 116, 84, 114)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 75)(9, 86)(10, 87)(11, 80)(12, 62)(13, 89)(14, 72)(15, 85)(16, 63)(17, 71)(18, 84)(19, 90)(20, 73)(21, 69)(22, 65)(23, 68)(24, 66)(25, 67)(26, 83)(27, 82)(28, 76)(29, 81)(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) :: { ( 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, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60 ) }
Outer automorphisms :: reflexible
Dual of E26.211
Graph:: bipartite
	v = 6 e = 60 f = 4
	degree seq :: [ 12^5, 60 ]

E26.217 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 10, 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 * Y1^-1 * Y3^-1, Y2 * Y1 * Y3^2, Y2 * Y3 * Y1 * Y3, (R * Y1)^2, (Y1, Y2), (R * Y3)^2, (R * Y2)^2, Y2^-2 * Y1 * Y3 * Y2^-1, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-2, Y2 * Y3^-1 * Y1^2 * Y3^-1 * Y1, (Y1^-1 * Y3^-1 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 21, 51, 16, 46, 28, 58, 18, 48, 4, 34, 10, 40, 24, 54, 30, 60, 15, 45, 3, 33, 9, 39, 23, 53, 17, 47, 6, 36, 11, 41, 25, 55, 29, 59, 14, 44, 7, 37, 12, 42, 26, 56, 19, 49, 13, 43, 27, 57, 20, 50, 5, 35)(61, 91, 63, 93, 73, 103, 70, 100, 67, 97, 76, 106, 71, 101, 62, 92, 69, 99, 87, 117, 84, 114, 72, 102, 88, 118, 85, 115, 68, 98, 83, 113, 80, 110, 90, 120, 86, 116, 78, 108, 89, 119, 82, 112, 77, 107, 65, 95, 75, 105, 79, 109, 64, 94, 74, 104, 81, 111, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 84)(9, 67)(10, 66)(11, 73)(12, 62)(13, 81)(14, 65)(15, 89)(16, 63)(17, 86)(18, 83)(19, 82)(20, 88)(21, 75)(22, 90)(23, 72)(24, 71)(25, 87)(26, 68)(27, 76)(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) :: { ( 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.210
Graph:: bipartite
	v = 2 e = 60 f = 8
	degree seq :: [ 60^2 ]

E26.218 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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 * Y1^-1, Y2^-1 * Y3^2 * Y1^-1, Y3 * Y1^-1 * Y3 * Y2^-1, (Y3, Y2^-1), (Y1^-1, Y2), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1^2 * Y2^-3, Y1^5, Y2^-1 * Y1^-1 * Y3^-2 * Y2^-1 * Y1^-1, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-2, (Y3 * Y1 * Y2)^2, (Y3^-1 * Y1^-1)^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 17, 47, 5, 35)(3, 33, 9, 39, 22, 52, 20, 50, 15, 45)(4, 34, 10, 40, 23, 53, 30, 60, 16, 46)(6, 36, 11, 41, 13, 43, 25, 55, 18, 48)(7, 37, 12, 42, 24, 54, 28, 58, 19, 49)(14, 44, 26, 56, 21, 51, 27, 57, 29, 59)(61, 91, 63, 93, 73, 103, 68, 98, 82, 112, 78, 108, 65, 95, 75, 105, 71, 101, 62, 92, 69, 99, 85, 115, 77, 107, 80, 110, 66, 96)(64, 94, 74, 104, 88, 118, 83, 113, 81, 111, 67, 97, 76, 106, 89, 119, 84, 114, 70, 100, 86, 116, 79, 109, 90, 120, 87, 117, 72, 102)
	L = (1, 64)(2, 70)(3, 74)(4, 69)(5, 76)(6, 72)(7, 61)(8, 83)(9, 86)(10, 82)(11, 84)(12, 62)(13, 88)(14, 85)(15, 89)(16, 63)(17, 90)(18, 67)(19, 65)(20, 87)(21, 66)(22, 81)(23, 80)(24, 68)(25, 79)(26, 78)(27, 71)(28, 77)(29, 73)(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) :: { ( 60^10 ), ( 60^30 ) }
Outer automorphisms :: reflexible
Dual of E26.250
Graph:: bipartite
	v = 8 e = 60 f = 2
	degree seq :: [ 10^6, 30^2 ]

E26.219 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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^-3 * Y1^-1, (Y2^-1, Y1^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y2^-1), (Y1^-1, Y3), Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1, Y1 * Y2 * Y1 * Y3^-2, Y1^5, Y1^-1 * Y2 * Y1^-1 * Y3^-2 * Y1^-1, Y3^6, (Y2^-1 * Y3)^30, (Y1^-1 * Y3^-1)^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 20, 50, 5, 35)(3, 33, 9, 39, 17, 47, 27, 57, 15, 45)(4, 34, 10, 40, 24, 54, 16, 46, 18, 48)(6, 36, 11, 41, 25, 55, 23, 53, 13, 43)(7, 37, 12, 42, 19, 49, 28, 58, 21, 51)(14, 44, 26, 56, 30, 60, 29, 59, 22, 52)(61, 91, 63, 93, 73, 103, 65, 95, 75, 105, 83, 113, 80, 110, 87, 117, 85, 115, 68, 98, 77, 107, 71, 101, 62, 92, 69, 99, 66, 96)(64, 94, 74, 104, 72, 102, 78, 108, 82, 112, 67, 97, 76, 106, 89, 119, 81, 111, 84, 114, 90, 120, 88, 118, 70, 100, 86, 116, 79, 109)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 84)(9, 86)(10, 87)(11, 88)(12, 62)(13, 72)(14, 71)(15, 82)(16, 63)(17, 90)(18, 69)(19, 68)(20, 76)(21, 65)(22, 66)(23, 67)(24, 75)(25, 81)(26, 85)(27, 89)(28, 80)(29, 73)(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) :: { ( 60^10 ), ( 60^30 ) }
Outer automorphisms :: reflexible
Dual of E26.251
Graph:: bipartite
	v = 8 e = 60 f = 2
	degree seq :: [ 10^6, 30^2 ]

E26.220 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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 * Y2^3, (Y1, Y2), (Y2^-1, Y3^-1), (R * Y1)^2, (Y1, Y3^-1), (R * Y3)^2, (R * Y2)^2, Y3 * Y1^2 * Y3 * Y2^-1, Y3 * Y1 * Y2 * Y3 * Y2, Y2^-1 * Y1 * Y3^2 * Y1, Y1^5, Y3^6, (Y2^-1 * Y1^-2)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 19, 49, 5, 35)(3, 33, 9, 39, 24, 54, 16, 46, 14, 44)(4, 34, 10, 40, 15, 45, 26, 56, 17, 47)(6, 36, 11, 41, 23, 53, 28, 58, 20, 50)(7, 37, 12, 42, 25, 55, 18, 48, 21, 51)(13, 43, 22, 52, 27, 57, 30, 60, 29, 59)(61, 91, 63, 93, 71, 101, 62, 92, 69, 99, 83, 113, 68, 98, 84, 114, 88, 118, 79, 109, 76, 106, 80, 110, 65, 95, 74, 104, 66, 96)(64, 94, 73, 103, 81, 111, 70, 100, 82, 112, 67, 97, 75, 105, 87, 117, 72, 102, 86, 116, 90, 120, 85, 115, 77, 107, 89, 119, 78, 108)
	L = (1, 64)(2, 70)(3, 73)(4, 76)(5, 77)(6, 78)(7, 61)(8, 75)(9, 82)(10, 74)(11, 81)(12, 62)(13, 80)(14, 89)(15, 63)(16, 90)(17, 84)(18, 79)(19, 86)(20, 85)(21, 65)(22, 66)(23, 67)(24, 87)(25, 68)(26, 69)(27, 71)(28, 72)(29, 88)(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) :: { ( 60^10 ), ( 60^30 ) }
Outer automorphisms :: reflexible
Dual of E26.249
Graph:: bipartite
	v = 8 e = 60 f = 2
	degree seq :: [ 10^6, 30^2 ]

E26.221 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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 * Y3^-2 * Y2^-1, (Y3^-1, Y1^-1), (R * Y3)^2, (Y3^-1, Y2), (Y1^-1, Y2), (R * Y1)^2, (R * Y2)^2, Y1^2 * Y2^-3, Y1^5, Y1^-1 * Y2^-1 * Y1^-2 * Y2^-2, Y3^-2 * Y1 * Y2 * Y1^2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 20, 50, 5, 35)(3, 33, 9, 39, 23, 53, 17, 47, 15, 45)(4, 34, 10, 40, 16, 46, 27, 57, 18, 48)(6, 36, 11, 41, 13, 43, 25, 55, 21, 51)(7, 37, 12, 42, 24, 54, 19, 49, 22, 52)(14, 44, 26, 56, 28, 58, 30, 60, 29, 59)(61, 91, 63, 93, 73, 103, 68, 98, 83, 113, 81, 111, 65, 95, 75, 105, 71, 101, 62, 92, 69, 99, 85, 115, 80, 110, 77, 107, 66, 96)(64, 94, 74, 104, 67, 97, 76, 106, 88, 118, 84, 114, 78, 108, 89, 119, 82, 112, 70, 100, 86, 116, 72, 102, 87, 117, 90, 120, 79, 109)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 76)(9, 86)(10, 75)(11, 82)(12, 62)(13, 67)(14, 66)(15, 89)(16, 63)(17, 90)(18, 83)(19, 80)(20, 87)(21, 84)(22, 65)(23, 88)(24, 68)(25, 72)(26, 71)(27, 69)(28, 73)(29, 81)(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) :: { ( 60^10 ), ( 60^30 ) }
Outer automorphisms :: reflexible
Dual of E26.253
Graph:: bipartite
	v = 8 e = 60 f = 2
	degree seq :: [ 10^6, 30^2 ]

E26.222 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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 * Y2 * Y3^-1, (Y1^-1, Y3), (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, Y2^-3 * Y1^-2, Y1^5, Y1 * Y3 * Y2 * Y1^-1 * Y3^-1 * Y2^-1, Y1^-1 * Y2 * Y1^-1 * Y2^2 * 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 * Y2^2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 17, 47, 5, 35)(3, 33, 9, 39, 20, 50, 26, 56, 15, 45)(4, 34, 10, 40, 22, 52, 30, 60, 16, 46)(6, 36, 11, 41, 23, 53, 13, 43, 18, 48)(7, 37, 12, 42, 24, 54, 28, 58, 19, 49)(14, 44, 25, 55, 21, 51, 27, 57, 29, 59)(61, 91, 63, 93, 73, 103, 77, 107, 86, 116, 71, 101, 62, 92, 69, 99, 78, 108, 65, 95, 75, 105, 83, 113, 68, 98, 80, 110, 66, 96)(64, 94, 74, 104, 88, 118, 90, 120, 87, 117, 72, 102, 70, 100, 85, 115, 79, 109, 76, 106, 89, 119, 84, 114, 82, 112, 81, 111, 67, 97)
	L = (1, 64)(2, 70)(3, 74)(4, 63)(5, 76)(6, 67)(7, 61)(8, 82)(9, 85)(10, 69)(11, 72)(12, 62)(13, 88)(14, 73)(15, 89)(16, 75)(17, 90)(18, 79)(19, 65)(20, 81)(21, 66)(22, 80)(23, 84)(24, 68)(25, 78)(26, 87)(27, 71)(28, 77)(29, 83)(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) :: { ( 60^10 ), ( 60^30 ) }
Outer automorphisms :: reflexible
Dual of E26.252
Graph:: bipartite
	v = 8 e = 60 f = 2
	degree seq :: [ 10^6, 30^2 ]

E26.223 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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, (Y2 * Y1^-1)^2, Y1^-1 * Y2^2 * Y1^-1, (Y2, Y1), (Y2^-1, Y3^-1), (R * Y1)^2, (Y3^-1, Y1), (R * Y3)^2, (R * Y2)^2, Y3^-1 * Y1^-1 * Y3^-2 * Y1, Y1^5 * Y3^-1, Y2^-1 * Y1^-2 * Y3 * Y2^-1 * Y1^-1, Y1^2 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1, Y2^-30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 21, 51, 15, 45, 4, 34, 10, 40, 23, 53, 29, 59, 19, 49, 7, 37, 12, 42, 24, 54, 17, 47, 5, 35)(3, 33, 9, 39, 22, 52, 16, 46, 27, 57, 13, 43, 25, 55, 30, 60, 20, 50, 28, 58, 14, 44, 26, 56, 18, 48, 6, 36, 11, 41)(61, 91, 63, 93, 68, 98, 82, 112, 75, 105, 87, 117, 70, 100, 85, 115, 89, 119, 80, 110, 67, 97, 74, 104, 84, 114, 78, 108, 65, 95, 71, 101, 62, 92, 69, 99, 81, 111, 76, 106, 64, 94, 73, 103, 83, 113, 90, 120, 79, 109, 88, 118, 72, 102, 86, 116, 77, 107, 66, 96)
	L = (1, 64)(2, 70)(3, 73)(4, 67)(5, 75)(6, 76)(7, 61)(8, 83)(9, 85)(10, 72)(11, 87)(12, 62)(13, 74)(14, 63)(15, 79)(16, 80)(17, 81)(18, 82)(19, 65)(20, 66)(21, 89)(22, 90)(23, 84)(24, 68)(25, 86)(26, 69)(27, 88)(28, 71)(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) :: { ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ), ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ) }
Outer automorphisms :: reflexible
Dual of E26.236
Graph:: bipartite
	v = 3 e = 60 f = 7
	degree seq :: [ 30^2, 60 ]

E26.224 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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, Y2 * Y1 * Y2, (Y3^-1, Y2^-1), (Y3^-1, Y1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^-5 * Y3, Y1^-3 * Y3^-1 * Y1^-1 * 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^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 20, 50, 15, 45, 4, 34, 9, 39, 21, 51, 29, 59, 18, 48, 7, 37, 11, 41, 23, 53, 17, 47, 5, 35)(3, 33, 6, 36, 10, 40, 22, 52, 26, 56, 12, 42, 16, 46, 24, 54, 30, 60, 28, 58, 14, 44, 19, 49, 25, 55, 27, 57, 13, 43)(61, 91, 63, 93, 65, 95, 73, 103, 77, 107, 87, 117, 83, 113, 85, 115, 71, 101, 79, 109, 67, 97, 74, 104, 78, 108, 88, 118, 89, 119, 90, 120, 81, 111, 84, 114, 69, 99, 76, 106, 64, 94, 72, 102, 75, 105, 86, 116, 80, 110, 82, 112, 68, 98, 70, 100, 62, 92, 66, 96)
	L = (1, 64)(2, 69)(3, 72)(4, 67)(5, 75)(6, 76)(7, 61)(8, 81)(9, 71)(10, 84)(11, 62)(12, 74)(13, 86)(14, 63)(15, 78)(16, 79)(17, 80)(18, 65)(19, 66)(20, 89)(21, 83)(22, 90)(23, 68)(24, 85)(25, 70)(26, 88)(27, 82)(28, 73)(29, 77)(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) :: { ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ), ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ) }
Outer automorphisms :: reflexible
Dual of E26.237
Graph:: bipartite
	v = 3 e = 60 f = 7
	degree seq :: [ 30^2, 60 ]

E26.225 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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, (Y3^-1, Y2^-1), (Y3, Y1^-1), (Y1, Y2), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2^4, Y2^2 * Y1 * Y3 * Y1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-2, Y1^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 24, 54, 17, 47, 4, 34, 10, 40, 22, 52, 13, 43, 21, 51, 7, 37, 12, 42, 26, 56, 19, 49, 5, 35)(3, 33, 9, 39, 23, 53, 29, 59, 30, 60, 14, 44, 20, 50, 6, 36, 11, 41, 25, 55, 16, 46, 27, 57, 18, 48, 28, 58, 15, 45)(61, 91, 63, 93, 73, 103, 71, 101, 62, 92, 69, 99, 81, 111, 85, 115, 68, 98, 83, 113, 67, 97, 76, 106, 84, 114, 89, 119, 72, 102, 87, 117, 77, 107, 90, 120, 86, 116, 78, 108, 64, 94, 74, 104, 79, 109, 88, 118, 70, 100, 80, 110, 65, 95, 75, 105, 82, 112, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 67)(5, 77)(6, 78)(7, 61)(8, 82)(9, 80)(10, 72)(11, 88)(12, 62)(13, 79)(14, 76)(15, 90)(16, 63)(17, 81)(18, 83)(19, 84)(20, 87)(21, 65)(22, 86)(23, 66)(24, 73)(25, 75)(26, 68)(27, 69)(28, 89)(29, 71)(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) :: { ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ), ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ) }
Outer automorphisms :: reflexible
Dual of E26.238
Graph:: bipartite
	v = 3 e = 60 f = 7
	degree seq :: [ 30^2, 60 ]

E26.226 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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), (Y2, Y1^-1), (Y3^-1, Y2), Y2^-1 * Y1 * Y3^-1 * Y2^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-3, Y1 * Y3^-1 * Y2^28 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 20, 50, 15, 45, 4, 34, 10, 40, 22, 52, 28, 58, 19, 49, 7, 37, 12, 42, 24, 54, 17, 47, 5, 35)(3, 33, 9, 39, 21, 51, 18, 48, 6, 36, 11, 41, 23, 53, 29, 59, 27, 57, 16, 46, 14, 44, 25, 55, 30, 60, 26, 56, 13, 43)(61, 91, 63, 93, 72, 102, 85, 115, 82, 112, 89, 119, 80, 110, 78, 108, 65, 95, 73, 103, 67, 97, 74, 104, 70, 100, 83, 113, 68, 98, 81, 111, 77, 107, 86, 116, 79, 109, 76, 106, 64, 94, 71, 101, 62, 92, 69, 99, 84, 114, 90, 120, 88, 118, 87, 117, 75, 105, 66, 96)
	L = (1, 64)(2, 70)(3, 71)(4, 67)(5, 75)(6, 76)(7, 61)(8, 82)(9, 83)(10, 72)(11, 74)(12, 62)(13, 66)(14, 63)(15, 79)(16, 73)(17, 80)(18, 87)(19, 65)(20, 88)(21, 89)(22, 84)(23, 85)(24, 68)(25, 69)(26, 78)(27, 86)(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) :: { ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ), ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ) }
Outer automorphisms :: reflexible
Dual of E26.239
Graph:: bipartite
	v = 3 e = 60 f = 7
	degree seq :: [ 30^2, 60 ]

E26.227 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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 * Y3, Y1 * Y2^2, (Y3, Y2^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^4 * Y3 * Y2^-1 * Y1^2 * Y2^-1, (Y3^-1 * Y1^-1)^5, Y1^15, (Y2^-1 * Y3)^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 17, 47, 25, 55, 24, 54, 16, 46, 7, 37, 4, 34, 9, 39, 18, 48, 26, 56, 23, 53, 15, 45, 5, 35)(3, 33, 6, 36, 10, 40, 19, 49, 27, 57, 30, 60, 22, 52, 13, 43, 11, 41, 14, 44, 20, 50, 28, 58, 29, 59, 21, 51, 12, 42)(61, 91, 63, 93, 65, 95, 72, 102, 75, 105, 81, 111, 83, 113, 89, 119, 86, 116, 88, 118, 78, 108, 80, 110, 69, 99, 74, 104, 64, 94, 71, 101, 67, 97, 73, 103, 76, 106, 82, 112, 84, 114, 90, 120, 85, 115, 87, 117, 77, 107, 79, 109, 68, 98, 70, 100, 62, 92, 66, 96)
	L = (1, 64)(2, 69)(3, 71)(4, 62)(5, 67)(6, 74)(7, 61)(8, 78)(9, 68)(10, 80)(11, 66)(12, 73)(13, 63)(14, 70)(15, 76)(16, 65)(17, 86)(18, 77)(19, 88)(20, 79)(21, 82)(22, 72)(23, 84)(24, 75)(25, 83)(26, 85)(27, 89)(28, 87)(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) :: { ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ), ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ) }
Outer automorphisms :: reflexible
Dual of E26.244
Graph:: bipartite
	v = 3 e = 60 f = 7
	degree seq :: [ 30^2, 60 ]

E26.228 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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 * Y3^-2 * Y2^-1, (Y2^-1 * Y3^-1)^2, (R * Y1)^2, (Y3, Y2), (Y3^-1, Y1^-1), (Y2, Y1), (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2^-3, Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1^4, Y3^2 * Y1 * Y3^2, Y2^-1 * Y1^-2 * Y3 * Y2^-1 * Y1^-1, Y2^-2 * Y1^-1 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 7, 37, 12, 42, 25, 55, 17, 47, 13, 43, 26, 56, 18, 48, 4, 34, 10, 40, 20, 50, 5, 35)(3, 33, 9, 39, 23, 53, 19, 49, 16, 46, 28, 58, 21, 51, 6, 36, 11, 41, 24, 54, 29, 59, 14, 44, 27, 57, 30, 60, 15, 45)(61, 91, 63, 93, 73, 103, 71, 101, 62, 92, 69, 99, 86, 116, 84, 114, 68, 98, 83, 113, 78, 108, 89, 119, 82, 112, 79, 109, 64, 94, 74, 104, 67, 97, 76, 106, 70, 100, 87, 117, 72, 102, 88, 118, 80, 110, 90, 120, 85, 115, 81, 111, 65, 95, 75, 105, 77, 107, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 80)(9, 87)(10, 73)(11, 76)(12, 62)(13, 67)(14, 66)(15, 89)(16, 63)(17, 82)(18, 85)(19, 75)(20, 86)(21, 83)(22, 65)(23, 90)(24, 88)(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) :: { ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ), ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ) }
Outer automorphisms :: reflexible
Dual of E26.247
Graph:: bipartite
	v = 3 e = 60 f = 7
	degree seq :: [ 30^2, 60 ]

E26.229 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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, Y3^-1 * Y2^-2 * Y3^-1, (Y2, Y3^-1), Y3 * Y2^2 * Y3, (Y1^-1, Y2^-1), (R * Y3)^2, (Y2 * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-7 * Y1^-1, Y2^-2 * Y3 * Y2^-1 * Y1 * Y2^-3, (Y3 * Y2^-1)^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 4, 34, 9, 39, 15, 45, 19, 49, 25, 55, 27, 57, 30, 60, 23, 53, 22, 52, 11, 41, 18, 48, 7, 37, 5, 35)(3, 33, 8, 38, 12, 42, 17, 47, 6, 36, 10, 40, 16, 46, 20, 50, 26, 56, 28, 58, 29, 59, 21, 51, 24, 54, 14, 44, 13, 43)(61, 91, 63, 93, 71, 101, 81, 111, 87, 117, 80, 110, 69, 99, 77, 107, 65, 95, 73, 103, 82, 112, 89, 119, 85, 115, 76, 106, 64, 94, 72, 102, 67, 97, 74, 104, 83, 113, 88, 118, 79, 109, 70, 100, 62, 92, 68, 98, 78, 108, 84, 114, 90, 120, 86, 116, 75, 105, 66, 96)
	L = (1, 64)(2, 69)(3, 72)(4, 75)(5, 62)(6, 76)(7, 61)(8, 77)(9, 79)(10, 80)(11, 67)(12, 66)(13, 68)(14, 63)(15, 85)(16, 86)(17, 70)(18, 65)(19, 87)(20, 88)(21, 74)(22, 78)(23, 71)(24, 73)(25, 90)(26, 89)(27, 83)(28, 81)(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) :: { ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ), ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ) }
Outer automorphisms :: reflexible
Dual of E26.242
Graph:: bipartite
	v = 3 e = 60 f = 7
	degree seq :: [ 30^2, 60 ]

E26.230 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1 * Y3^7, (Y3^-1 * Y1^-1)^5 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 4, 34, 9, 39, 12, 42, 18, 48, 20, 50, 26, 56, 28, 58, 24, 54, 22, 52, 16, 46, 14, 44, 7, 37, 5, 35)(3, 33, 8, 38, 11, 41, 17, 47, 19, 49, 25, 55, 27, 57, 30, 60, 29, 59, 23, 53, 21, 51, 15, 45, 13, 43, 6, 36, 10, 40)(61, 91, 63, 93, 64, 94, 71, 101, 72, 102, 79, 109, 80, 110, 87, 117, 88, 118, 89, 119, 82, 112, 81, 111, 74, 104, 73, 103, 65, 95, 70, 100, 62, 92, 68, 98, 69, 99, 77, 107, 78, 108, 85, 115, 86, 116, 90, 120, 84, 114, 83, 113, 76, 106, 75, 105, 67, 97, 66, 96)
	L = (1, 64)(2, 69)(3, 71)(4, 72)(5, 62)(6, 63)(7, 61)(8, 77)(9, 78)(10, 68)(11, 79)(12, 80)(13, 70)(14, 65)(15, 66)(16, 67)(17, 85)(18, 86)(19, 87)(20, 88)(21, 73)(22, 74)(23, 75)(24, 76)(25, 90)(26, 84)(27, 89)(28, 82)(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) :: { ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ), ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ) }
Outer automorphisms :: reflexible
Dual of E26.241
Graph:: bipartite
	v = 3 e = 60 f = 7
	degree seq :: [ 30^2, 60 ]

E26.231 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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^-1, (Y2^-1, Y1^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^7 * Y3, (Y3^-1 * Y1^-1)^5 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 16, 46, 24, 54, 23, 53, 15, 45, 7, 37, 4, 34, 10, 40, 18, 48, 26, 56, 21, 51, 13, 43, 5, 35)(3, 33, 9, 39, 17, 47, 25, 55, 29, 59, 22, 52, 14, 44, 6, 36, 11, 41, 19, 49, 27, 57, 30, 60, 28, 58, 20, 50, 12, 42)(61, 91, 63, 93, 64, 94, 71, 101, 62, 92, 69, 99, 70, 100, 79, 109, 68, 98, 77, 107, 78, 108, 87, 117, 76, 106, 85, 115, 86, 116, 90, 120, 84, 114, 89, 119, 81, 111, 88, 118, 83, 113, 82, 112, 73, 103, 80, 110, 75, 105, 74, 104, 65, 95, 72, 102, 67, 97, 66, 96)
	L = (1, 64)(2, 70)(3, 71)(4, 62)(5, 67)(6, 63)(7, 61)(8, 78)(9, 79)(10, 68)(11, 69)(12, 66)(13, 75)(14, 72)(15, 65)(16, 86)(17, 87)(18, 76)(19, 77)(20, 74)(21, 83)(22, 80)(23, 73)(24, 81)(25, 90)(26, 84)(27, 85)(28, 82)(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) :: { ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ), ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ) }
Outer automorphisms :: reflexible
Dual of E26.243
Graph:: bipartite
	v = 3 e = 60 f = 7
	degree seq :: [ 30^2, 60 ]

E26.232 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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^-2, (Y1^-1, Y3^-1), (Y1^-1, Y3^-1), (R * Y2)^2, (R * Y3)^2, (Y1, Y2^-1), (R * Y1)^2, Y3^-1 * Y1^-4, Y1^-1 * Y3^-4, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-2 * Y2^-1, Y1^-1 * Y3^2 * Y1^-2 * Y3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 19, 49, 7, 37, 12, 42, 24, 54, 15, 45, 21, 51, 27, 57, 16, 46, 4, 34, 10, 40, 17, 47, 5, 35)(3, 33, 9, 39, 22, 52, 18, 48, 6, 36, 11, 41, 23, 53, 28, 58, 20, 50, 26, 56, 29, 59, 13, 43, 25, 55, 30, 60, 14, 44)(61, 91, 63, 93, 64, 94, 73, 103, 75, 105, 88, 118, 79, 109, 78, 108, 65, 95, 74, 104, 76, 106, 89, 119, 84, 114, 83, 113, 68, 98, 82, 112, 77, 107, 90, 120, 87, 117, 86, 116, 72, 102, 71, 101, 62, 92, 69, 99, 70, 100, 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, 77)(9, 85)(10, 81)(11, 69)(12, 62)(13, 88)(14, 89)(15, 79)(16, 84)(17, 87)(18, 74)(19, 65)(20, 66)(21, 67)(22, 90)(23, 82)(24, 68)(25, 80)(26, 71)(27, 72)(28, 78)(29, 83)(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) :: { ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ), ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ) }
Outer automorphisms :: reflexible
Dual of E26.246
Graph:: bipartite
	v = 3 e = 60 f = 7
	degree seq :: [ 30^2, 60 ]

E26.233 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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 * Y3, Y2^-1 * Y1^2 * Y2^-1, (Y1^-1 * Y2)^2, (R * Y3)^2, (R * Y2)^2, (Y1^-1, Y2^-1), (Y2, Y3), (R * Y1)^2, Y1 * Y2^-1 * Y3 * Y2^-1 * Y3, Y2^-2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-2, (Y3^-1 * Y2^-2)^3, (Y3^-1 * Y1^-1)^5, Y2^22 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 19, 49, 27, 57, 25, 55, 17, 47, 7, 37, 4, 34, 10, 40, 21, 51, 29, 59, 23, 53, 15, 45, 5, 35)(3, 33, 9, 39, 20, 50, 28, 58, 26, 56, 18, 48, 14, 44, 13, 43, 12, 42, 22, 52, 30, 60, 24, 54, 16, 46, 6, 36, 11, 41)(61, 91, 63, 93, 68, 98, 80, 110, 87, 117, 86, 116, 77, 107, 74, 104, 64, 94, 72, 102, 81, 111, 90, 120, 83, 113, 76, 106, 65, 95, 71, 101, 62, 92, 69, 99, 79, 109, 88, 118, 85, 115, 78, 108, 67, 97, 73, 103, 70, 100, 82, 112, 89, 119, 84, 114, 75, 105, 66, 96)
	L = (1, 64)(2, 70)(3, 72)(4, 62)(5, 67)(6, 74)(7, 61)(8, 81)(9, 82)(10, 68)(11, 73)(12, 69)(13, 63)(14, 71)(15, 77)(16, 78)(17, 65)(18, 66)(19, 89)(20, 90)(21, 79)(22, 80)(23, 85)(24, 86)(25, 75)(26, 76)(27, 83)(28, 84)(29, 87)(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) :: { ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ), ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ) }
Outer automorphisms :: reflexible
Dual of E26.245
Graph:: bipartite
	v = 3 e = 60 f = 7
	degree seq :: [ 30^2, 60 ]

E26.234 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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 * Y2^-1, Y2^-1 * Y1^-1 * Y2^-1, (Y3^-1, Y2^-1), (Y3^-1, Y1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^-1 * Y3^-1 * Y1^-3, Y3^4 * Y1, Y3^2 * Y2^-1 * Y3^-2 * Y2, Y3 * Y1^-1 * Y3 * Y1^-2 * Y3, Y1^2 * Y2^-1 * Y3 * Y1 * Y2^-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^-2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 19, 49, 7, 37, 11, 41, 23, 53, 15, 45, 21, 51, 26, 56, 16, 46, 4, 34, 9, 39, 18, 48, 5, 35)(3, 33, 6, 36, 10, 40, 22, 52, 14, 44, 20, 50, 25, 55, 27, 57, 29, 59, 30, 60, 28, 58, 12, 42, 17, 47, 24, 54, 13, 43)(61, 91, 63, 93, 65, 95, 73, 103, 78, 108, 84, 114, 69, 99, 77, 107, 64, 94, 72, 102, 76, 106, 88, 118, 86, 116, 90, 120, 81, 111, 89, 119, 75, 105, 87, 117, 83, 113, 85, 115, 71, 101, 80, 110, 67, 97, 74, 104, 79, 109, 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, 78)(9, 81)(10, 84)(11, 62)(12, 87)(13, 88)(14, 63)(15, 79)(16, 83)(17, 89)(18, 86)(19, 65)(20, 66)(21, 67)(22, 73)(23, 68)(24, 90)(25, 70)(26, 71)(27, 82)(28, 85)(29, 74)(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) :: { ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ), ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ) }
Outer automorphisms :: reflexible
Dual of E26.248
Graph:: bipartite
	v = 3 e = 60 f = 7
	degree seq :: [ 30^2, 60 ]

E26.235 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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^-1, Y3^-1), (Y1, Y2), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), Y2^-2 * Y1 * Y2^-2, Y2^-2 * Y1 * Y2^-2, Y2 * Y3 * Y2 * Y3^2 * Y1, Y3^-1 * Y2^-2 * Y3^-2 * Y1^-1, Y2^-2 * Y3^2 * Y1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 4, 34, 9, 39, 15, 45, 24, 54, 27, 57, 19, 49, 11, 41, 22, 52, 26, 56, 21, 51, 18, 48, 7, 37, 5, 35)(3, 33, 8, 38, 12, 42, 23, 53, 28, 58, 20, 50, 17, 47, 6, 36, 10, 40, 16, 46, 25, 55, 30, 60, 29, 59, 14, 44, 13, 43)(61, 91, 63, 93, 71, 101, 70, 100, 62, 92, 68, 98, 82, 112, 76, 106, 64, 94, 72, 102, 86, 116, 85, 115, 69, 99, 83, 113, 81, 111, 90, 120, 75, 105, 88, 118, 78, 108, 89, 119, 84, 114, 80, 110, 67, 97, 74, 104, 87, 117, 77, 107, 65, 95, 73, 103, 79, 109, 66, 96)
	L = (1, 64)(2, 69)(3, 72)(4, 75)(5, 62)(6, 76)(7, 61)(8, 83)(9, 84)(10, 85)(11, 86)(12, 88)(13, 68)(14, 63)(15, 87)(16, 90)(17, 70)(18, 65)(19, 82)(20, 66)(21, 67)(22, 81)(23, 80)(24, 79)(25, 89)(26, 78)(27, 71)(28, 77)(29, 73)(30, 74)(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) :: { ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ), ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ) }
Outer automorphisms :: reflexible
Dual of E26.240
Graph:: bipartite
	v = 3 e = 60 f = 7
	degree seq :: [ 30^2, 60 ]

E26.236 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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, (Y3^-1, Y2^-1), (Y3^-1, Y1), (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^-1 * Y2 * Y3^-1 * Y2 * Y1^-1, Y2^5, Y3 * Y1^-2 * Y3 * Y2^2, Y1^-2 * Y3 * Y1^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y3 * Y1^-3 * Y2^-1, Y1^-30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 24, 54, 18, 48, 15, 45, 3, 33, 9, 39, 25, 55, 17, 47, 4, 34, 10, 40, 13, 43, 27, 57, 23, 53, 30, 60, 14, 44, 28, 58, 22, 52, 21, 51, 7, 37, 12, 42, 26, 56, 20, 50, 6, 36, 11, 41, 16, 46, 29, 59, 19, 49, 5, 35)(61, 91, 63, 93, 73, 103, 82, 112, 66, 96)(62, 92, 69, 99, 87, 117, 81, 111, 71, 101)(64, 94, 74, 104, 86, 116, 79, 109, 78, 108)(65, 95, 75, 105, 70, 100, 88, 118, 80, 110)(67, 97, 76, 106, 68, 98, 85, 115, 83, 113)(72, 102, 89, 119, 84, 114, 77, 107, 90, 120)
	L = (1, 64)(2, 70)(3, 74)(4, 67)(5, 77)(6, 78)(7, 61)(8, 73)(9, 88)(10, 72)(11, 75)(12, 62)(13, 86)(14, 76)(15, 90)(16, 63)(17, 81)(18, 83)(19, 85)(20, 84)(21, 65)(22, 79)(23, 66)(24, 87)(25, 82)(26, 68)(27, 80)(28, 89)(29, 69)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.223
Graph:: bipartite
	v = 7 e = 60 f = 3
	degree seq :: [ 10^6, 60 ]

E26.237 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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 * Y3^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1, (R * Y2)^2, (Y3^-1, Y1^-1), (Y2^-1, Y3), (R * Y3)^2, (R * Y1)^2, Y2^5, Y3^-1 * Y2 * Y1 * Y3^-1 * Y1, Y1 * Y2^-2 * Y3 * Y1 * Y2^-2, Y1^6 * Y2^-2, Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 20, 50, 29, 59, 26, 56, 13, 43, 22, 52, 16, 46, 17, 47, 4, 34, 10, 40, 6, 36, 11, 41, 21, 51, 30, 60, 25, 55, 15, 45, 3, 33, 9, 39, 7, 37, 12, 42, 18, 48, 23, 53, 19, 49, 24, 54, 27, 57, 28, 58, 14, 44, 5, 35)(61, 91, 63, 93, 73, 103, 79, 109, 66, 96)(62, 92, 69, 99, 82, 112, 84, 114, 71, 101)(64, 94, 74, 104, 85, 115, 89, 119, 78, 108)(65, 95, 75, 105, 86, 116, 83, 113, 70, 100)(67, 97, 76, 106, 87, 117, 81, 111, 68, 98)(72, 102, 77, 107, 88, 118, 90, 120, 80, 110)
	L = (1, 64)(2, 70)(3, 74)(4, 67)(5, 77)(6, 78)(7, 61)(8, 66)(9, 65)(10, 72)(11, 83)(12, 62)(13, 85)(14, 76)(15, 88)(16, 63)(17, 69)(18, 68)(19, 89)(20, 71)(21, 79)(22, 75)(23, 80)(24, 86)(25, 87)(26, 90)(27, 73)(28, 82)(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) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 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 E26.224
Graph:: bipartite
	v = 7 e = 60 f = 3
	degree seq :: [ 10^6, 60 ]

E26.238 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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, (Y2^-1, Y1), (Y3^-1, Y2), (Y3^-1, Y1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1^2 * Y2^2, Y1 * Y2 * Y1 * Y3 * Y2, Y2^5, Y1^3 * Y3^-1 * Y1 * Y2^-1, Y1 * Y3^-1 * Y2^2 * Y3^-1 * Y1, (Y2 * Y1^-1 * Y3)^10 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 24, 54, 14, 44, 20, 50, 6, 36, 11, 41, 25, 55, 17, 47, 4, 34, 10, 40, 22, 52, 29, 59, 16, 46, 27, 57, 18, 48, 28, 58, 13, 43, 21, 51, 7, 37, 12, 42, 26, 56, 15, 45, 3, 33, 9, 39, 23, 53, 30, 60, 19, 49, 5, 35)(61, 91, 63, 93, 73, 103, 82, 112, 66, 96)(62, 92, 69, 99, 81, 111, 89, 119, 71, 101)(64, 94, 74, 104, 79, 109, 86, 116, 78, 108)(65, 95, 75, 105, 88, 118, 70, 100, 80, 110)(67, 97, 76, 106, 85, 115, 68, 98, 83, 113)(72, 102, 87, 117, 77, 107, 84, 114, 90, 120)
	L = (1, 64)(2, 70)(3, 74)(4, 67)(5, 77)(6, 78)(7, 61)(8, 82)(9, 80)(10, 72)(11, 88)(12, 62)(13, 79)(14, 76)(15, 84)(16, 63)(17, 81)(18, 83)(19, 85)(20, 87)(21, 65)(22, 86)(23, 66)(24, 89)(25, 73)(26, 68)(27, 69)(28, 90)(29, 75)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.225
Graph:: bipartite
	v = 7 e = 60 f = 3
	degree seq :: [ 10^6, 60 ]

E26.239 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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, Y3^-1), Y3^-1 * Y1^-2 * Y2, (Y2, Y1^-1), Y1^-2 * Y3^-1 * Y2, (Y2^-1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1 * Y3 * Y1 * Y2^-1, Y2^5, Y2^2 * Y1 * Y3 * Y2^2 * Y1, Y1^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 20, 50, 25, 55, 28, 58, 18, 48, 24, 54, 19, 49, 15, 45, 4, 34, 10, 40, 3, 33, 9, 39, 21, 51, 30, 60, 27, 57, 17, 47, 6, 36, 11, 41, 7, 37, 12, 42, 14, 44, 23, 53, 13, 43, 22, 52, 29, 59, 26, 56, 16, 46, 5, 35)(61, 91, 63, 93, 73, 103, 78, 108, 66, 96)(62, 92, 69, 99, 82, 112, 84, 114, 71, 101)(64, 94, 74, 104, 85, 115, 87, 117, 76, 106)(65, 95, 70, 100, 83, 113, 88, 118, 77, 107)(67, 97, 68, 98, 81, 111, 89, 119, 79, 109)(72, 102, 80, 110, 90, 120, 86, 116, 75, 105)
	L = (1, 64)(2, 70)(3, 74)(4, 67)(5, 75)(6, 76)(7, 61)(8, 63)(9, 83)(10, 72)(11, 65)(12, 62)(13, 85)(14, 68)(15, 71)(16, 79)(17, 86)(18, 87)(19, 66)(20, 69)(21, 73)(22, 88)(23, 80)(24, 77)(25, 81)(26, 84)(27, 89)(28, 90)(29, 78)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.226
Graph:: bipartite
	v = 7 e = 60 f = 3
	degree seq :: [ 10^6, 60 ]

E26.240 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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 * Y3^-1, (R * Y2)^2, (Y1^-1, Y2), (Y2^-1, Y3), (Y3 * Y1^-1)^2, (R * Y3)^2, (Y1^-1, Y3^-1), (R * Y1)^2, Y2^2 * Y3^-3, Y2^5, Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y1 * Y3, Y1^-1 * Y2^-2 * Y3^-1 * Y1^-1 * 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^-2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 23, 53, 29, 59, 19, 49, 6, 36, 11, 41, 16, 46, 27, 57, 14, 44, 26, 56, 21, 51, 20, 50, 7, 37, 12, 42, 4, 34, 10, 40, 13, 43, 25, 55, 22, 52, 28, 58, 17, 47, 15, 45, 3, 33, 9, 39, 24, 54, 30, 60, 18, 48, 5, 35)(61, 91, 63, 93, 73, 103, 81, 111, 66, 96)(62, 92, 69, 99, 85, 115, 80, 110, 71, 101)(64, 94, 74, 104, 89, 119, 78, 108, 77, 107)(65, 95, 75, 105, 70, 100, 86, 116, 79, 109)(67, 97, 76, 106, 68, 98, 84, 114, 82, 112)(72, 102, 87, 117, 83, 113, 90, 120, 88, 118)
	L = (1, 64)(2, 70)(3, 74)(4, 68)(5, 72)(6, 77)(7, 61)(8, 73)(9, 86)(10, 83)(11, 75)(12, 62)(13, 89)(14, 84)(15, 87)(16, 63)(17, 76)(18, 67)(19, 88)(20, 65)(21, 78)(22, 66)(23, 85)(24, 81)(25, 79)(26, 90)(27, 69)(28, 71)(29, 82)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.235
Graph:: bipartite
	v = 7 e = 60 f = 3
	degree seq :: [ 10^6, 60 ]

E26.241 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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 * Y1, (R * Y2)^2, (R * Y3)^2, (Y1^-1, Y2^-1), (R * Y1)^2, (Y2, Y3^-1), Y2^-2 * Y3^3, Y2^5, (Y3 * Y2^-1 * Y1^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 10, 40, 21, 51, 26, 56, 19, 49, 24, 54, 29, 59, 30, 60, 12, 42, 13, 43, 3, 33, 8, 38, 14, 44, 23, 53, 17, 47, 18, 48, 6, 36, 9, 39, 20, 50, 25, 55, 27, 57, 28, 58, 11, 41, 22, 52, 15, 45, 16, 46, 4, 34, 5, 35)(61, 91, 63, 93, 71, 101, 79, 109, 66, 96)(62, 92, 68, 98, 82, 112, 84, 114, 69, 99)(64, 94, 72, 102, 87, 117, 81, 111, 77, 107)(65, 95, 73, 103, 88, 118, 86, 116, 78, 108)(67, 97, 74, 104, 75, 105, 89, 119, 80, 110)(70, 100, 83, 113, 76, 106, 90, 120, 85, 115)
	L = (1, 64)(2, 65)(3, 72)(4, 75)(5, 76)(6, 77)(7, 61)(8, 73)(9, 78)(10, 62)(11, 87)(12, 89)(13, 90)(14, 63)(15, 71)(16, 82)(17, 74)(18, 83)(19, 81)(20, 66)(21, 67)(22, 88)(23, 68)(24, 86)(25, 69)(26, 70)(27, 80)(28, 85)(29, 79)(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) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 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 E26.230
Graph:: bipartite
	v = 7 e = 60 f = 3
	degree seq :: [ 10^6, 60 ]

E26.242 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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), (R * Y2)^2, (Y2^-1, Y3^-1), (Y3, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y1^-2 * Y2^-1 * Y3^-1 * Y2^-1, Y3^-1 * Y1^2 * Y3^-1 * Y2^-1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1, Y3 * Y1 * Y2^2 * Y1, Y2^5, Y3^-4 * Y1^-2, Y2 * Y1^-1 * Y2^2 * Y3^-1 * Y1^-1, Y1^-6 * Y2^2, Y1^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 26, 56, 19, 49, 29, 59, 13, 43, 22, 52, 7, 37, 12, 42, 14, 44, 21, 51, 6, 36, 11, 41, 17, 47, 28, 58, 25, 55, 15, 45, 3, 33, 9, 39, 24, 54, 18, 48, 4, 34, 10, 40, 23, 53, 30, 60, 16, 46, 27, 57, 20, 50, 5, 35)(61, 91, 63, 93, 73, 103, 83, 113, 66, 96)(62, 92, 69, 99, 82, 112, 90, 120, 71, 101)(64, 94, 74, 104, 80, 110, 85, 115, 79, 109)(65, 95, 75, 105, 89, 119, 70, 100, 81, 111)(67, 97, 76, 106, 77, 107, 68, 98, 84, 114)(72, 102, 87, 117, 88, 118, 86, 116, 78, 108)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 83)(9, 81)(10, 88)(11, 89)(12, 62)(13, 80)(14, 68)(15, 72)(16, 63)(17, 73)(18, 71)(19, 76)(20, 84)(21, 86)(22, 65)(23, 85)(24, 66)(25, 67)(26, 90)(27, 69)(28, 82)(29, 87)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.229
Graph:: bipartite
	v = 7 e = 60 f = 3
	degree seq :: [ 10^6, 60 ]

E26.243 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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 * Y1, Y3^-2 * Y2 * Y3^-1, (Y1^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2^5, Y2^-1 * Y1 * Y3^-1 * Y1 * Y2^2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 10, 40, 16, 46, 17, 47, 6, 36, 9, 39, 19, 49, 22, 52, 27, 57, 28, 58, 18, 48, 21, 51, 29, 59, 30, 60, 23, 53, 24, 54, 11, 41, 20, 50, 25, 55, 26, 56, 12, 42, 13, 43, 3, 33, 8, 38, 14, 44, 15, 45, 4, 34, 5, 35)(61, 91, 63, 93, 71, 101, 78, 108, 66, 96)(62, 92, 68, 98, 80, 110, 81, 111, 69, 99)(64, 94, 72, 102, 83, 113, 87, 117, 76, 106)(65, 95, 73, 103, 84, 114, 88, 118, 77, 107)(67, 97, 74, 104, 85, 115, 89, 119, 79, 109)(70, 100, 75, 105, 86, 116, 90, 120, 82, 112)
	L = (1, 64)(2, 65)(3, 72)(4, 74)(5, 75)(6, 76)(7, 61)(8, 73)(9, 77)(10, 62)(11, 83)(12, 85)(13, 86)(14, 63)(15, 68)(16, 67)(17, 70)(18, 87)(19, 66)(20, 84)(21, 88)(22, 69)(23, 89)(24, 90)(25, 71)(26, 80)(27, 79)(28, 82)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.231
Graph:: bipartite
	v = 7 e = 60 f = 3
	degree seq :: [ 10^6, 60 ]

E26.244 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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^-1), Y2^-1 * Y3^3, (Y2^-1, Y3^-1), Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, (R * Y3)^2, (Y2, Y1), (R * Y2)^2, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y1)^2, Y2^5, Y3^-1 * Y1^2 * Y3^-1 * Y2^2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^2, Y2^-2 * Y1^2 * Y3^-1 * Y1^2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 20, 50, 27, 57, 15, 45, 3, 33, 9, 39, 7, 37, 12, 42, 22, 52, 28, 58, 13, 43, 23, 53, 16, 46, 24, 54, 18, 48, 25, 55, 19, 49, 26, 56, 29, 59, 17, 47, 4, 34, 10, 40, 6, 36, 11, 41, 21, 51, 30, 60, 14, 44, 5, 35)(61, 91, 63, 93, 73, 103, 79, 109, 66, 96)(62, 92, 69, 99, 83, 113, 86, 116, 71, 101)(64, 94, 74, 104, 87, 117, 82, 112, 78, 108)(65, 95, 75, 105, 88, 118, 85, 115, 70, 100)(67, 97, 76, 106, 89, 119, 81, 111, 68, 98)(72, 102, 84, 114, 77, 107, 90, 120, 80, 110)
	L = (1, 64)(2, 70)(3, 74)(4, 76)(5, 77)(6, 78)(7, 61)(8, 66)(9, 65)(10, 84)(11, 85)(12, 62)(13, 87)(14, 89)(15, 90)(16, 63)(17, 83)(18, 67)(19, 82)(20, 71)(21, 79)(22, 68)(23, 75)(24, 69)(25, 72)(26, 88)(27, 81)(28, 80)(29, 73)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.227
Graph:: bipartite
	v = 7 e = 60 f = 3
	degree seq :: [ 10^6, 60 ]

E26.245 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y2 * Y1^-1, Y3 * Y1^2 * Y2^-1, Y1^-1 * Y3^2 * Y1^-1, (R * Y2)^2, (Y2^-1, Y1^-1), (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y3)^2, Y2^5, Y2 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y3, Y2^2 * Y1^24, (Y3^-1 * Y2^-1)^15, Y1^-42 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 19, 49, 14, 44, 22, 52, 13, 43, 21, 51, 28, 58, 30, 60, 26, 56, 16, 46, 6, 36, 11, 41, 7, 37, 12, 42, 4, 34, 10, 40, 3, 33, 9, 39, 20, 50, 29, 59, 25, 55, 27, 57, 17, 47, 23, 53, 18, 48, 24, 54, 15, 45, 5, 35)(61, 91, 63, 93, 73, 103, 77, 107, 66, 96)(62, 92, 69, 99, 81, 111, 83, 113, 71, 101)(64, 94, 74, 104, 85, 115, 86, 116, 75, 105)(65, 95, 70, 100, 82, 112, 87, 117, 76, 106)(67, 97, 68, 98, 80, 110, 88, 118, 78, 108)(72, 102, 79, 109, 89, 119, 90, 120, 84, 114)
	L = (1, 64)(2, 70)(3, 74)(4, 68)(5, 72)(6, 75)(7, 61)(8, 63)(9, 82)(10, 79)(11, 65)(12, 62)(13, 85)(14, 80)(15, 67)(16, 84)(17, 86)(18, 66)(19, 69)(20, 73)(21, 87)(22, 89)(23, 76)(24, 71)(25, 88)(26, 78)(27, 90)(28, 77)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.233
Graph:: bipartite
	v = 7 e = 60 f = 3
	degree seq :: [ 10^6, 60 ]

E26.246 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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 * Y1, Y2^-1 * Y3^-3, (Y2^-1, Y1^-1), (R * Y3)^2, (Y2, Y3^-1), (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y1 * Y3^-1 * Y1 * Y3^-1, Y2^5, 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 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 10, 40, 12, 42, 13, 43, 3, 33, 8, 38, 14, 44, 21, 51, 23, 53, 24, 54, 11, 41, 20, 50, 25, 55, 30, 60, 28, 58, 29, 59, 19, 49, 22, 52, 26, 56, 27, 57, 17, 47, 18, 48, 6, 36, 9, 39, 15, 45, 16, 46, 4, 34, 5, 35)(61, 91, 63, 93, 71, 101, 79, 109, 66, 96)(62, 92, 68, 98, 80, 110, 82, 112, 69, 99)(64, 94, 72, 102, 83, 113, 88, 118, 77, 107)(65, 95, 73, 103, 84, 114, 89, 119, 78, 108)(67, 97, 74, 104, 85, 115, 86, 116, 75, 105)(70, 100, 81, 111, 90, 120, 87, 117, 76, 106)
	L = (1, 64)(2, 65)(3, 72)(4, 75)(5, 76)(6, 77)(7, 61)(8, 73)(9, 78)(10, 62)(11, 83)(12, 67)(13, 70)(14, 63)(15, 66)(16, 69)(17, 86)(18, 87)(19, 88)(20, 84)(21, 68)(22, 89)(23, 74)(24, 81)(25, 71)(26, 79)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.232
Graph:: bipartite
	v = 7 e = 60 f = 3
	degree seq :: [ 10^6, 60 ]

E26.247 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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 * Y3 * Y1^2, Y2^-1 * Y3^-3, (Y2, Y3^-1), Y1^-1 * Y2 * Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y1^-1 * Y2 * Y1^-1, (Y2^-1, Y1^-1), (R * Y3)^2, (Y3^-1, Y1), Y2^5, Y2 * Y3^-2 * Y1 * Y2^2 * Y1, Y2 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3^-1, Y2 * Y3^-1 * Y1^2 * Y2^2 * Y3^-1, Y1^2 * Y2 * Y1^2 * Y2 * Y1^2 * Y2 * Y1^2 * Y2 * Y1^2 * Y2 * Y3 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 20, 50, 29, 59, 18, 48, 6, 36, 11, 41, 7, 37, 12, 42, 22, 52, 30, 60, 19, 49, 26, 56, 15, 45, 25, 55, 14, 44, 24, 54, 13, 43, 23, 53, 27, 57, 16, 46, 4, 34, 10, 40, 3, 33, 9, 39, 21, 51, 28, 58, 17, 47, 5, 35)(61, 91, 63, 93, 73, 103, 79, 109, 66, 96)(62, 92, 69, 99, 83, 113, 86, 116, 71, 101)(64, 94, 74, 104, 82, 112, 89, 119, 77, 107)(65, 95, 70, 100, 84, 114, 90, 120, 78, 108)(67, 97, 68, 98, 81, 111, 87, 117, 75, 105)(72, 102, 80, 110, 88, 118, 76, 106, 85, 115)
	L = (1, 64)(2, 70)(3, 74)(4, 75)(5, 76)(6, 77)(7, 61)(8, 63)(9, 84)(10, 85)(11, 65)(12, 62)(13, 82)(14, 67)(15, 66)(16, 86)(17, 87)(18, 88)(19, 89)(20, 69)(21, 73)(22, 68)(23, 90)(24, 72)(25, 71)(26, 78)(27, 79)(28, 83)(29, 81)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.228
Graph:: bipartite
	v = 7 e = 60 f = 3
	degree seq :: [ 10^6, 60 ]

E26.248 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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 * Y2, (Y3^-1, Y1^-1), Y1^-1 * Y3^2 * Y1^-1, Y1 * Y2 * Y1 * Y3, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, Y1^-2 * Y3^-1 * Y2^-1, Y2^5, Y1 * Y2^2 * Y1^-1 * Y2^-2, Y2^-1 * Y1^26 * Y3, (Y3^-1 * Y2)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 19, 49, 17, 47, 23, 53, 18, 48, 24, 54, 27, 57, 30, 60, 25, 55, 15, 45, 3, 33, 9, 39, 7, 37, 12, 42, 4, 34, 10, 40, 6, 36, 11, 41, 20, 50, 29, 59, 28, 58, 26, 56, 13, 43, 21, 51, 16, 46, 22, 52, 14, 44, 5, 35)(61, 91, 63, 93, 73, 103, 78, 108, 66, 96)(62, 92, 69, 99, 81, 111, 84, 114, 71, 101)(64, 94, 74, 104, 85, 115, 88, 118, 77, 107)(65, 95, 75, 105, 86, 116, 83, 113, 70, 100)(67, 97, 76, 106, 87, 117, 80, 110, 68, 98)(72, 102, 82, 112, 90, 120, 89, 119, 79, 109)
	L = (1, 64)(2, 70)(3, 74)(4, 68)(5, 72)(6, 77)(7, 61)(8, 66)(9, 65)(10, 79)(11, 83)(12, 62)(13, 85)(14, 67)(15, 82)(16, 63)(17, 80)(18, 88)(19, 71)(20, 78)(21, 75)(22, 69)(23, 89)(24, 86)(25, 76)(26, 90)(27, 73)(28, 87)(29, 84)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.234
Graph:: bipartite
	v = 7 e = 60 f = 3
	degree seq :: [ 10^6, 60 ]

E26.249 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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, Y2), Y3 * Y2^-2 * Y1, Y3^-1 * Y2 * Y1^-1 * Y2, (R * Y1)^2, Y2^-1 * Y3 * Y1 * Y2^-1, (Y2, Y1^-1), (R * Y3)^2, (R * Y2)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-3, Y3^2 * Y2 * Y1^-3, Y2^-2 * Y3^-2 * Y2^-1 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y3, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2 * Y2 * Y3^-2, Y2^16 * Y1^2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 19, 49, 7, 37, 12, 42, 26, 56, 13, 43, 27, 57, 21, 51, 30, 60, 14, 44, 3, 33, 9, 39, 23, 53, 18, 48, 6, 36, 11, 41, 25, 55, 15, 45, 28, 58, 20, 50, 29, 59, 16, 46, 4, 34, 10, 40, 24, 54, 17, 47, 5, 35)(61, 91, 63, 93, 70, 100, 87, 117, 80, 110, 67, 97, 71, 101, 62, 92, 69, 99, 84, 114, 81, 111, 89, 119, 72, 102, 85, 115, 68, 98, 83, 113, 77, 107, 90, 120, 76, 106, 86, 116, 75, 105, 82, 112, 78, 108, 65, 95, 74, 104, 64, 94, 73, 103, 88, 118, 79, 109, 66, 96)
	L = (1, 64)(2, 70)(3, 73)(4, 75)(5, 76)(6, 74)(7, 61)(8, 84)(9, 87)(10, 88)(11, 63)(12, 62)(13, 82)(14, 86)(15, 83)(16, 85)(17, 89)(18, 90)(19, 65)(20, 66)(21, 67)(22, 77)(23, 81)(24, 80)(25, 69)(26, 68)(27, 79)(28, 78)(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) :: { ( 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30 ) }
Outer automorphisms :: reflexible
Dual of E26.220
Graph:: bipartite
	v = 2 e = 60 f = 8
	degree seq :: [ 60^2 ]

E26.250 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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, Y2), (Y2^-1, Y3^-1), Y3 * Y1^-1 * Y3 * Y2^-1, (R * Y2)^2, (Y2, Y1), Y2^-1 * Y1^-1 * Y3^2, (Y3^-1, Y1), (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y3^-1 * Y2^3 * Y1^-1, Y2^3 * Y1^3, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2 * Y1^-3 * Y2, Y2^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 19, 49, 7, 37, 12, 42, 26, 56, 13, 43, 27, 57, 18, 48, 6, 36, 11, 41, 25, 55, 14, 44, 28, 58, 21, 51, 30, 60, 15, 45, 3, 33, 9, 39, 23, 53, 20, 50, 29, 59, 16, 46, 4, 34, 10, 40, 24, 54, 17, 47, 5, 35)(61, 91, 63, 93, 73, 103, 84, 114, 81, 111, 67, 97, 76, 106, 85, 115, 68, 98, 83, 113, 78, 108, 65, 95, 75, 105, 86, 116, 70, 100, 88, 118, 79, 109, 89, 119, 71, 101, 62, 92, 69, 99, 87, 117, 77, 107, 90, 120, 72, 102, 64, 94, 74, 104, 82, 112, 80, 110, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 69)(5, 76)(6, 72)(7, 61)(8, 84)(9, 88)(10, 83)(11, 86)(12, 62)(13, 82)(14, 87)(15, 85)(16, 63)(17, 89)(18, 67)(19, 65)(20, 90)(21, 66)(22, 77)(23, 81)(24, 80)(25, 73)(26, 68)(27, 79)(28, 78)(29, 75)(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) :: { ( 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30 ) }
Outer automorphisms :: reflexible
Dual of E26.218
Graph:: bipartite
	v = 2 e = 60 f = 8
	degree seq :: [ 60^2 ]

E26.251 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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, (Y2, Y1^-1), (Y3, Y1), Y3^-1 * Y2^-1 * Y1^2, Y1^-1 * Y3 * Y1^-1 * Y2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^-3 * Y1 * Y3^2, Y3^-3 * Y1^-1 * Y2^-2, (Y3 * Y2^-1)^5, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-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, 22, 52, 19, 49, 7, 37, 12, 42, 3, 33, 9, 39, 23, 53, 21, 51, 30, 60, 14, 44, 26, 56, 13, 43, 25, 55, 20, 50, 29, 59, 16, 46, 28, 58, 15, 45, 27, 57, 18, 48, 6, 36, 11, 41, 4, 34, 10, 40, 24, 54, 17, 47, 5, 35)(61, 91, 63, 93, 73, 103, 87, 117, 77, 107, 67, 97, 74, 104, 88, 118, 70, 100, 82, 112, 81, 111, 89, 119, 71, 101, 62, 92, 69, 99, 85, 115, 78, 108, 65, 95, 72, 102, 86, 116, 75, 105, 84, 114, 79, 109, 90, 120, 76, 106, 64, 94, 68, 98, 83, 113, 80, 110, 66, 96)
	L = (1, 64)(2, 70)(3, 68)(4, 75)(5, 71)(6, 76)(7, 61)(8, 84)(9, 82)(10, 87)(11, 88)(12, 62)(13, 83)(14, 63)(15, 85)(16, 86)(17, 66)(18, 89)(19, 65)(20, 90)(21, 67)(22, 77)(23, 79)(24, 78)(25, 81)(26, 69)(27, 80)(28, 73)(29, 74)(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) :: { ( 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30 ) }
Outer automorphisms :: reflexible
Dual of E26.219
Graph:: bipartite
	v = 2 e = 60 f = 8
	degree seq :: [ 60^2 ]

E26.252 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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, (R * Y3)^2, (Y2, Y1), (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y1^3 * Y2, Y1^-2 * Y3^-1 * Y2^-2 * Y3^-1, Y2^6 * Y1^-1 * Y2, (Y3 * Y2^-1)^5, (Y3^-1 * Y1^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 6, 36, 14, 44, 13, 43, 18, 48, 24, 54, 29, 59, 27, 57, 19, 49, 25, 55, 21, 51, 10, 40, 3, 33, 7, 37, 15, 45, 12, 42, 5, 35, 8, 38, 16, 46, 23, 53, 22, 52, 26, 56, 30, 60, 28, 58, 20, 50, 9, 39, 17, 47, 11, 41, 4, 34)(61, 91, 63, 93, 69, 99, 79, 109, 86, 116, 78, 108, 68, 98, 62, 92, 67, 97, 77, 107, 85, 115, 90, 120, 84, 114, 76, 106, 66, 96, 75, 105, 71, 101, 81, 111, 88, 118, 89, 119, 83, 113, 74, 104, 72, 102, 64, 94, 70, 100, 80, 110, 87, 117, 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, 73)(15, 72)(16, 83)(17, 71)(18, 84)(19, 85)(20, 69)(21, 70)(22, 86)(23, 82)(24, 89)(25, 81)(26, 90)(27, 79)(28, 80)(29, 87)(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) :: { ( 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30 ) }
Outer automorphisms :: reflexible
Dual of E26.222
Graph:: bipartite
	v = 2 e = 60 f = 8
	degree seq :: [ 60^2 ]

E26.253 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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, (R * Y3)^2, (Y2, Y3), (Y1, Y2), (R * Y1)^2, (R * Y2)^2, Y1^-3 * Y2^-3, Y2^-5 * Y3^5, Y1^-5 * Y2^5, Y2^30, Y1^30, (Y3^-1 * Y1^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 6, 36, 14, 44, 22, 52, 28, 58, 27, 57, 20, 50, 9, 39, 17, 47, 12, 42, 5, 35, 8, 38, 16, 46, 23, 53, 29, 59, 25, 55, 21, 51, 10, 40, 3, 33, 7, 37, 15, 45, 13, 43, 18, 48, 24, 54, 30, 60, 26, 56, 19, 49, 11, 41, 4, 34)(61, 91, 63, 93, 69, 99, 79, 109, 85, 115, 88, 118, 84, 114, 76, 106, 66, 96, 75, 105, 72, 102, 64, 94, 70, 100, 80, 110, 86, 116, 89, 119, 82, 112, 78, 108, 68, 98, 62, 92, 67, 97, 77, 107, 71, 101, 81, 111, 87, 117, 90, 120, 83, 113, 74, 104, 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, 82)(15, 73)(16, 83)(17, 72)(18, 84)(19, 71)(20, 69)(21, 70)(22, 88)(23, 89)(24, 90)(25, 81)(26, 79)(27, 80)(28, 87)(29, 85)(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) :: { ( 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30 ) }
Outer automorphisms :: reflexible
Dual of E26.221
Graph:: bipartite
	v = 2 e = 60 f = 8
	degree seq :: [ 60^2 ]

E26.254 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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^-1, Y1^4, Y1^4, (Y3^-1, Y2), (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^-1 * Y2^-1 * Y3^-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 * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 17, 49, 6, 38)(4, 36, 10, 42, 21, 53, 15, 47)(7, 39, 11, 43, 22, 54, 18, 50)(12, 44, 23, 55, 29, 61, 16, 48)(13, 45, 24, 56, 30, 62, 19, 51)(14, 46, 25, 57, 31, 63, 27, 59)(20, 52, 26, 58, 32, 64, 28, 60)(65, 97, 67, 99, 66, 98, 73, 105, 72, 104, 81, 113, 69, 101, 70, 102)(68, 100, 76, 108, 74, 106, 87, 119, 85, 117, 93, 125, 79, 111, 80, 112)(71, 103, 77, 109, 75, 107, 88, 120, 86, 118, 94, 126, 82, 114, 83, 115)(78, 110, 84, 116, 89, 121, 90, 122, 95, 127, 96, 128, 91, 123, 92, 124)
	L = (1, 68)(2, 74)(3, 76)(4, 78)(5, 79)(6, 80)(7, 65)(8, 85)(9, 87)(10, 89)(11, 66)(12, 84)(13, 67)(14, 83)(15, 91)(16, 92)(17, 93)(18, 69)(19, 70)(20, 71)(21, 95)(22, 72)(23, 90)(24, 73)(25, 77)(26, 75)(27, 94)(28, 82)(29, 96)(30, 81)(31, 88)(32, 86)(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) :: { ( 64^8 ), ( 64^16 ) }
Outer automorphisms :: reflexible
Dual of E26.275
Graph:: bipartite
	v = 12 e = 64 f = 2
	degree seq :: [ 8^8, 16^4 ]

E26.255 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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 * Y2^-2, Y1^-4, (Y3, Y2^-1), (R * Y3)^2, (Y3^-1, Y1^-1), Y1^4, (R * Y2)^2, (R * Y1)^2, Y3^-4 * Y2^-1, (Y2^-1 * Y3)^32 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 6, 38, 10, 42, 13, 45)(4, 36, 9, 41, 21, 53, 16, 48)(7, 39, 11, 43, 22, 54, 18, 50)(12, 44, 17, 49, 24, 56, 27, 59)(14, 46, 19, 51, 25, 57, 28, 60)(15, 47, 23, 55, 31, 63, 29, 61)(20, 52, 26, 58, 32, 64, 30, 62)(65, 97, 67, 99, 69, 101, 77, 109, 72, 104, 74, 106, 66, 98, 70, 102)(68, 100, 76, 108, 80, 112, 91, 123, 85, 117, 88, 120, 73, 105, 81, 113)(71, 103, 78, 110, 82, 114, 92, 124, 86, 118, 89, 121, 75, 107, 83, 115)(79, 111, 84, 116, 93, 125, 94, 126, 95, 127, 96, 128, 87, 119, 90, 122)
	L = (1, 68)(2, 73)(3, 76)(4, 79)(5, 80)(6, 81)(7, 65)(8, 85)(9, 87)(10, 88)(11, 66)(12, 84)(13, 91)(14, 67)(15, 83)(16, 93)(17, 90)(18, 69)(19, 70)(20, 71)(21, 95)(22, 72)(23, 89)(24, 96)(25, 74)(26, 75)(27, 94)(28, 77)(29, 78)(30, 82)(31, 92)(32, 86)(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) :: { ( 64^8 ), ( 64^16 ) }
Outer automorphisms :: reflexible
Dual of E26.274
Graph:: bipartite
	v = 12 e = 64 f = 2
	degree seq :: [ 8^8, 16^4 ]

E26.256 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y1^-4, (R * Y1)^2, Y1^4, (Y3, Y1), (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2), Y3^4 * Y2^-1, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 17, 49, 6, 38)(4, 36, 10, 42, 21, 53, 15, 47)(7, 39, 11, 43, 22, 54, 18, 50)(12, 44, 23, 55, 28, 60, 16, 48)(13, 45, 24, 56, 29, 61, 19, 51)(14, 46, 25, 57, 31, 63, 27, 59)(20, 52, 26, 58, 32, 64, 30, 62)(65, 97, 67, 99, 66, 98, 73, 105, 72, 104, 81, 113, 69, 101, 70, 102)(68, 100, 76, 108, 74, 106, 87, 119, 85, 117, 92, 124, 79, 111, 80, 112)(71, 103, 77, 109, 75, 107, 88, 120, 86, 118, 93, 125, 82, 114, 83, 115)(78, 110, 90, 122, 89, 121, 96, 128, 95, 127, 94, 126, 91, 123, 84, 116)
	L = (1, 68)(2, 74)(3, 76)(4, 78)(5, 79)(6, 80)(7, 65)(8, 85)(9, 87)(10, 89)(11, 66)(12, 90)(13, 67)(14, 77)(15, 91)(16, 84)(17, 92)(18, 69)(19, 70)(20, 71)(21, 95)(22, 72)(23, 96)(24, 73)(25, 88)(26, 75)(27, 83)(28, 94)(29, 81)(30, 82)(31, 93)(32, 86)(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) :: { ( 64^8 ), ( 64^16 ) }
Outer automorphisms :: reflexible
Dual of E26.276
Graph:: bipartite
	v = 12 e = 64 f = 2
	degree seq :: [ 8^8, 16^4 ]

E26.257 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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 * Y2^-2, (R * Y1)^2, (Y2^-1, Y3^-1), (R * Y3)^2, Y1^4, (R * Y2)^2, (Y3, Y1^-1), Y3^-2 * Y2 * Y3^-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 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 6, 38, 10, 42, 13, 45)(4, 36, 9, 41, 21, 53, 16, 48)(7, 39, 11, 43, 22, 54, 18, 50)(12, 44, 17, 49, 24, 56, 28, 60)(14, 46, 19, 51, 25, 57, 29, 61)(15, 47, 23, 55, 31, 63, 30, 62)(20, 52, 26, 58, 32, 64, 27, 59)(65, 97, 67, 99, 69, 101, 77, 109, 72, 104, 74, 106, 66, 98, 70, 102)(68, 100, 76, 108, 80, 112, 92, 124, 85, 117, 88, 120, 73, 105, 81, 113)(71, 103, 78, 110, 82, 114, 93, 125, 86, 118, 89, 121, 75, 107, 83, 115)(79, 111, 91, 123, 94, 126, 96, 128, 95, 127, 90, 122, 87, 119, 84, 116)
	L = (1, 68)(2, 73)(3, 76)(4, 79)(5, 80)(6, 81)(7, 65)(8, 85)(9, 87)(10, 88)(11, 66)(12, 91)(13, 92)(14, 67)(15, 78)(16, 94)(17, 84)(18, 69)(19, 70)(20, 71)(21, 95)(22, 72)(23, 83)(24, 90)(25, 74)(26, 75)(27, 82)(28, 96)(29, 77)(30, 93)(31, 89)(32, 86)(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) :: { ( 64^8 ), ( 64^16 ) }
Outer automorphisms :: reflexible
Dual of E26.277
Graph:: bipartite
	v = 12 e = 64 f = 2
	degree seq :: [ 8^8, 16^4 ]

E26.258 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y2^4 * Y1, (R * Y2 * Y3^-1)^2, Y1^8, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^32 ]
Map:: non-degenerate
	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, 66)(2, 70)(3, 71)(4, 65)(5, 72)(6, 78)(7, 79)(8, 80)(9, 77)(10, 67)(11, 68)(12, 69)(13, 81)(14, 86)(15, 87)(16, 88)(17, 89)(18, 73)(19, 74)(20, 75)(21, 76)(22, 84)(23, 93)(24, 94)(25, 95)(26, 82)(27, 83)(28, 85)(29, 91)(30, 92)(31, 96)(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) :: { ( 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 E26.269
Graph:: bipartite
	v = 5 e = 64 f = 9
	degree seq :: [ 16^4, 64 ]

E26.259 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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^-3 * Y1^-1, (Y3^-1 * Y1)^2, (Y2^-1, Y1^-1), (R * Y3)^2, (Y3^-1, Y2^-1), Y3^2 * Y1^-2, (R * Y1)^2, (R * Y2)^2, Y2^3 * Y3 * Y2, Y3^2 * Y2^-2 * 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 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 8, 40, 7, 39, 12, 44, 4, 36, 10, 42, 5, 37)(3, 35, 9, 41, 21, 53, 16, 48, 25, 57, 14, 46, 24, 56, 15, 47)(6, 38, 11, 43, 22, 54, 20, 52, 28, 60, 17, 49, 26, 58, 18, 50)(13, 45, 23, 55, 31, 63, 30, 62, 32, 64, 19, 51, 27, 59, 29, 61)(65, 97, 67, 99, 77, 109, 84, 116, 71, 103, 80, 112, 94, 126, 90, 122, 74, 106, 88, 120, 91, 123, 75, 107, 66, 98, 73, 105, 87, 119, 92, 124, 76, 108, 89, 121, 96, 128, 82, 114, 69, 101, 79, 111, 93, 125, 86, 118, 72, 104, 85, 117, 95, 127, 81, 113, 68, 100, 78, 110, 83, 115, 70, 102)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 81)(7, 65)(8, 69)(9, 88)(10, 71)(11, 90)(12, 66)(13, 83)(14, 85)(15, 89)(16, 67)(17, 86)(18, 92)(19, 95)(20, 70)(21, 79)(22, 82)(23, 91)(24, 80)(25, 73)(26, 84)(27, 94)(28, 75)(29, 96)(30, 77)(31, 93)(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) :: { ( 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 E26.272
Graph:: bipartite
	v = 5 e = 64 f = 9
	degree seq :: [ 16^4, 64 ]

E26.260 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, (Y2, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-1 * Y2^3, (R * Y2 * Y3^-1)^2, Y3^8, Y1^4 * Y3 * Y1^3, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^2)^16 ]
Map:: non-degenerate
	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, 66)(2, 70)(3, 71)(4, 65)(5, 72)(6, 78)(7, 79)(8, 80)(9, 81)(10, 67)(11, 68)(12, 69)(13, 73)(14, 86)(15, 87)(16, 88)(17, 89)(18, 74)(19, 75)(20, 76)(21, 77)(22, 83)(23, 93)(24, 94)(25, 95)(26, 82)(27, 84)(28, 85)(29, 90)(30, 91)(31, 96)(32, 92)(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) :: { ( 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 E26.268
Graph:: bipartite
	v = 5 e = 64 f = 9
	degree seq :: [ 16^4, 64 ]

E26.261 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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^-3 * Y1^-1, (Y3^-1 * Y1)^2, Y1^-1 * Y3^2 * Y1^-1, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y3^-1), (R * Y3)^2, Y2^3 * Y3^-1 * Y2, Y2 * Y1 * Y3 * Y2^-1 * Y1^-1 * Y3^-1, Y3 * Y1 * Y2^2 * Y3 * Y2^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 7, 39, 12, 44, 4, 36, 10, 42, 5, 37)(3, 35, 9, 41, 21, 53, 16, 48, 25, 57, 14, 46, 24, 56, 15, 47)(6, 38, 11, 43, 22, 54, 20, 52, 28, 60, 17, 49, 26, 58, 18, 50)(13, 45, 23, 55, 31, 63, 19, 51, 27, 59, 29, 61, 32, 64, 30, 62)(65, 97, 67, 99, 77, 109, 81, 113, 68, 100, 78, 110, 93, 125, 86, 118, 72, 104, 85, 117, 95, 127, 82, 114, 69, 101, 79, 111, 94, 126, 92, 124, 76, 108, 89, 121, 91, 123, 75, 107, 66, 98, 73, 105, 87, 119, 90, 122, 74, 106, 88, 120, 96, 128, 84, 116, 71, 103, 80, 112, 83, 115, 70, 102)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 81)(7, 65)(8, 69)(9, 88)(10, 71)(11, 90)(12, 66)(13, 93)(14, 85)(15, 89)(16, 67)(17, 86)(18, 92)(19, 77)(20, 70)(21, 79)(22, 82)(23, 96)(24, 80)(25, 73)(26, 84)(27, 87)(28, 75)(29, 95)(30, 91)(31, 94)(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) :: { ( 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 E26.273
Graph:: bipartite
	v = 5 e = 64 f = 9
	degree seq :: [ 16^4, 64 ]

E26.262 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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 * Y1^2, Y1^-1 * Y3^2 * Y1^-1, (Y3^-1 * Y1)^2, Y3^-3 * Y1^-1, (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2^-1), Y1^-1 * Y2^4, 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 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 7, 39, 12, 44, 4, 36, 10, 42, 5, 37)(3, 35, 9, 41, 21, 53, 16, 48, 25, 57, 14, 46, 24, 56, 15, 47)(6, 38, 11, 43, 22, 54, 20, 52, 27, 59, 17, 49, 26, 58, 18, 50)(13, 45, 23, 55, 32, 64, 29, 61, 30, 62, 28, 60, 31, 63, 19, 51)(65, 97, 67, 99, 77, 109, 75, 107, 66, 98, 73, 105, 87, 119, 86, 118, 72, 104, 85, 117, 96, 128, 84, 116, 71, 103, 80, 112, 93, 125, 91, 123, 76, 108, 89, 121, 94, 126, 81, 113, 68, 100, 78, 110, 92, 124, 90, 122, 74, 106, 88, 120, 95, 127, 82, 114, 69, 101, 79, 111, 83, 115, 70, 102)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 81)(7, 65)(8, 69)(9, 88)(10, 71)(11, 90)(12, 66)(13, 92)(14, 85)(15, 89)(16, 67)(17, 86)(18, 91)(19, 94)(20, 70)(21, 79)(22, 82)(23, 95)(24, 80)(25, 73)(26, 84)(27, 75)(28, 96)(29, 77)(30, 87)(31, 93)(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) :: { ( 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 E26.270
Graph:: bipartite
	v = 5 e = 64 f = 9
	degree seq :: [ 16^4, 64 ]

E26.263 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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^-1, Y3 * Y1^-1, Y1^-1 * Y3, (Y1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^2 * Y2 * Y3 * Y2^3, Y1^8, (Y3^-1 * Y1^-1)^4, Y1 * Y3 * Y2^-1 * Y1 * Y3 * Y1 * Y2^-3, Y2^-32 ]
Map:: non-degenerate
	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, 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, 89)(16, 91)(17, 88)(18, 92)(19, 87)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 93)(26, 86)(27, 94)(28, 95)(29, 96)(30, 83)(31, 84)(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) :: { ( 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 E26.267
Graph:: bipartite
	v = 5 e = 64 f = 9
	degree seq :: [ 16^4, 64 ]

E26.264 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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^-1), Y1^-3 * Y3^-1, (R * Y1)^2, Y3^-3 * Y1^-1, Y3^2 * Y1^-2, (Y2^-1, Y1^-1), (R * Y2)^2, (Y3^-1 * Y1)^2, (Y3^-1, Y2^-1), (R * Y3)^2, Y1 * Y2^4, Y2^-2 * Y1 * Y3 * Y2^-2 * Y1, 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, 7, 39, 12, 44, 4, 36, 10, 42, 5, 37)(3, 35, 9, 41, 21, 53, 16, 48, 24, 56, 14, 46, 23, 55, 15, 47)(6, 38, 11, 43, 22, 54, 20, 52, 27, 59, 17, 49, 25, 57, 18, 50)(13, 45, 19, 51, 26, 58, 30, 62, 32, 64, 28, 60, 31, 63, 29, 61)(65, 97, 67, 99, 77, 109, 82, 114, 69, 101, 79, 111, 93, 125, 89, 121, 74, 106, 87, 119, 95, 127, 81, 113, 68, 100, 78, 110, 92, 124, 91, 123, 76, 108, 88, 120, 96, 128, 84, 116, 71, 103, 80, 112, 94, 126, 86, 118, 72, 104, 85, 117, 90, 122, 75, 107, 66, 98, 73, 105, 83, 115, 70, 102)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 81)(7, 65)(8, 69)(9, 87)(10, 71)(11, 89)(12, 66)(13, 92)(14, 85)(15, 88)(16, 67)(17, 86)(18, 91)(19, 95)(20, 70)(21, 79)(22, 82)(23, 80)(24, 73)(25, 84)(26, 93)(27, 75)(28, 90)(29, 96)(30, 77)(31, 94)(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) :: { ( 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 E26.271
Graph:: bipartite
	v = 5 e = 64 f = 9
	degree seq :: [ 16^4, 64 ]

E26.265 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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^-1, Y3 * Y1^-1, Y1^-1 * Y3, (Y1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y1 * Y2^-2, Y1^8, (Y3^-1 * Y1^-1)^4, Y2^-32 ]
Map:: non-degenerate
	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, 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, 83)(17, 92)(18, 84)(19, 93)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 85)(26, 86)(27, 96)(28, 95)(29, 94)(30, 87)(31, 88)(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) :: { ( 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 E26.266
Graph:: bipartite
	v = 5 e = 64 f = 9
	degree seq :: [ 16^4, 64 ]

E26.266 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y3^-1), (R * Y1)^2, (Y1, Y3), (R * Y2)^2, (Y2^-1, Y1), Y2^4, (R * Y3)^2, Y1^-2 * Y3^-1 * Y1^-2, Y3^-1 * Y1^-4, Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2, Y1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 19, 51, 7, 39, 12, 44, 23, 55, 18, 50, 6, 38, 11, 43, 22, 54, 30, 62, 20, 52, 26, 58, 32, 64, 27, 59, 13, 45, 24, 56, 31, 63, 28, 60, 14, 46, 25, 57, 29, 61, 15, 47, 3, 35, 9, 41, 21, 53, 16, 48, 4, 36, 10, 42, 17, 49, 5, 37)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 88, 120, 75, 107)(68, 100, 78, 110, 84, 116, 71, 103)(69, 101, 79, 111, 91, 123, 82, 114)(72, 104, 85, 117, 95, 127, 86, 118)(74, 106, 89, 121, 90, 122, 76, 108)(80, 112, 92, 124, 94, 126, 83, 115)(81, 113, 93, 125, 96, 128, 87, 119)
	L = (1, 68)(2, 74)(3, 78)(4, 67)(5, 80)(6, 71)(7, 65)(8, 81)(9, 89)(10, 73)(11, 76)(12, 66)(13, 84)(14, 77)(15, 92)(16, 79)(17, 85)(18, 83)(19, 69)(20, 70)(21, 93)(22, 87)(23, 72)(24, 90)(25, 88)(26, 75)(27, 94)(28, 91)(29, 95)(30, 82)(31, 96)(32, 86)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.265
Graph:: bipartite
	v = 9 e = 64 f = 5
	degree seq :: [ 8^8, 64 ]

E26.267 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, (Y2, Y1^-1), (Y3^-1, Y1), (R * Y1)^2, Y2^4, (R * Y3)^2, (R * Y2)^2, Y1^-1 * Y3 * Y1^-3, 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 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 16, 48, 4, 36, 10, 42, 22, 54, 15, 47, 3, 35, 9, 41, 21, 53, 28, 60, 14, 46, 25, 57, 32, 64, 27, 59, 13, 45, 24, 56, 31, 63, 30, 62, 20, 52, 26, 58, 29, 61, 18, 50, 6, 38, 11, 43, 23, 55, 19, 51, 7, 39, 12, 44, 17, 49, 5, 37)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 88, 120, 75, 107)(68, 100, 78, 110, 84, 116, 71, 103)(69, 101, 79, 111, 91, 123, 82, 114)(72, 104, 85, 117, 95, 127, 87, 119)(74, 106, 89, 121, 90, 122, 76, 108)(80, 112, 92, 124, 94, 126, 83, 115)(81, 113, 86, 118, 96, 128, 93, 125)
	L = (1, 68)(2, 74)(3, 78)(4, 67)(5, 80)(6, 71)(7, 65)(8, 86)(9, 89)(10, 73)(11, 76)(12, 66)(13, 84)(14, 77)(15, 92)(16, 79)(17, 72)(18, 83)(19, 69)(20, 70)(21, 96)(22, 85)(23, 81)(24, 90)(25, 88)(26, 75)(27, 94)(28, 91)(29, 87)(30, 82)(31, 93)(32, 95)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.263
Graph:: bipartite
	v = 9 e = 64 f = 5
	degree seq :: [ 8^8, 64 ]

E26.268 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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^-1 * Y3^2, (Y1^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2)^2, (Y3^-1, Y1), Y2 * Y1 * Y3^-2 * Y1^-1, Y1^-1 * Y3^-1 * Y1^-2 * Y2^-1 * Y1^-1, Y2 * Y1^2 * Y3^-1 * Y1^2 * Y2, (Y3^-1 * Y2^-1)^8, Y1^-1 * Y2^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 21, 53, 20, 52, 28, 60, 31, 63, 15, 47, 3, 35, 9, 41, 22, 54, 19, 51, 7, 39, 12, 44, 25, 57, 29, 61, 13, 45, 26, 58, 32, 64, 16, 48, 4, 36, 10, 42, 23, 55, 18, 50, 6, 38, 11, 43, 24, 56, 30, 62, 14, 46, 27, 59, 17, 49, 5, 37)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 90, 122, 75, 107)(68, 100, 78, 110, 84, 116, 71, 103)(69, 101, 79, 111, 93, 125, 82, 114)(72, 104, 86, 118, 96, 128, 88, 120)(74, 106, 91, 123, 92, 124, 76, 108)(80, 112, 94, 126, 85, 117, 83, 115)(81, 113, 95, 127, 89, 121, 87, 119)
	L = (1, 68)(2, 74)(3, 78)(4, 67)(5, 80)(6, 71)(7, 65)(8, 87)(9, 91)(10, 73)(11, 76)(12, 66)(13, 84)(14, 77)(15, 94)(16, 79)(17, 96)(18, 83)(19, 69)(20, 70)(21, 82)(22, 81)(23, 86)(24, 89)(25, 72)(26, 92)(27, 90)(28, 75)(29, 85)(30, 93)(31, 88)(32, 95)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.260
Graph:: bipartite
	v = 9 e = 64 f = 5
	degree seq :: [ 8^8, 64 ]

E26.269 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, (Y2^-1, Y1), Y2^4, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), Y2 * Y1^-2 * Y3 * Y1^-2, Y1 * Y2 * Y1^2 * Y3 * Y2 * Y1, (Y1^-1 * Y3^-1)^32 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 21, 53, 14, 46, 27, 59, 30, 62, 18, 50, 6, 38, 11, 43, 24, 56, 16, 48, 4, 36, 10, 42, 23, 55, 29, 61, 13, 45, 26, 58, 31, 63, 19, 51, 7, 39, 12, 44, 25, 57, 15, 47, 3, 35, 9, 41, 22, 54, 32, 64, 20, 52, 28, 60, 17, 49, 5, 37)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 90, 122, 75, 107)(68, 100, 78, 110, 84, 116, 71, 103)(69, 101, 79, 111, 93, 125, 82, 114)(72, 104, 86, 118, 95, 127, 88, 120)(74, 106, 91, 123, 92, 124, 76, 108)(80, 112, 85, 117, 96, 128, 83, 115)(81, 113, 89, 121, 87, 119, 94, 126)
	L = (1, 68)(2, 74)(3, 78)(4, 67)(5, 80)(6, 71)(7, 65)(8, 87)(9, 91)(10, 73)(11, 76)(12, 66)(13, 84)(14, 77)(15, 85)(16, 79)(17, 88)(18, 83)(19, 69)(20, 70)(21, 93)(22, 94)(23, 86)(24, 89)(25, 72)(26, 92)(27, 90)(28, 75)(29, 96)(30, 95)(31, 81)(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) :: { ( 16, 64, 16, 64, 16, 64, 16, 64 ), ( 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 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 E26.258
Graph:: bipartite
	v = 9 e = 64 f = 5
	degree seq :: [ 8^8, 64 ]

E26.270 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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^-1 * Y3^-2, Y2^4, (R * Y2)^2, (Y2^-1, Y1), (R * Y3)^2, (Y3^-1, Y1), (R * Y1)^2, Y1^-1 * Y3 * Y1^-3, Y2^-2 * Y1^-2 * Y2 * Y3^-1 * Y1^-2, (Y3 * Y2^-1)^8, Y1^-1 * 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 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 16, 48, 4, 36, 10, 42, 22, 54, 19, 51, 6, 38, 11, 43, 23, 55, 30, 62, 17, 49, 26, 58, 32, 64, 27, 59, 13, 45, 24, 56, 31, 63, 29, 61, 15, 47, 25, 57, 28, 60, 14, 46, 3, 35, 9, 41, 21, 53, 20, 52, 7, 39, 12, 44, 18, 50, 5, 37)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 88, 120, 75, 107)(68, 100, 71, 103, 79, 111, 81, 113)(69, 101, 78, 110, 91, 123, 83, 115)(72, 104, 85, 117, 95, 127, 87, 119)(74, 106, 76, 108, 89, 121, 90, 122)(80, 112, 84, 116, 93, 125, 94, 126)(82, 114, 92, 124, 96, 128, 86, 118)
	L = (1, 68)(2, 74)(3, 71)(4, 70)(5, 80)(6, 81)(7, 65)(8, 86)(9, 76)(10, 75)(11, 90)(12, 66)(13, 79)(14, 84)(15, 67)(16, 83)(17, 77)(18, 72)(19, 94)(20, 69)(21, 82)(22, 87)(23, 96)(24, 89)(25, 73)(26, 88)(27, 93)(28, 85)(29, 78)(30, 91)(31, 92)(32, 95)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.262
Graph:: bipartite
	v = 9 e = 64 f = 5
	degree seq :: [ 8^8, 64 ]

E26.271 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y2^4, (Y2^-1, Y1), (Y3^-1, Y1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^-2 * Y3^-1 * Y1^-2, Y3^-1 * Y1^-4, Y2^2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 20, 52, 7, 39, 12, 44, 23, 55, 14, 46, 3, 35, 9, 41, 21, 53, 28, 60, 15, 47, 25, 57, 32, 64, 27, 59, 13, 45, 24, 56, 31, 63, 29, 61, 17, 49, 26, 58, 30, 62, 19, 51, 6, 38, 11, 43, 22, 54, 16, 48, 4, 36, 10, 42, 18, 50, 5, 37)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 88, 120, 75, 107)(68, 100, 71, 103, 79, 111, 81, 113)(69, 101, 78, 110, 91, 123, 83, 115)(72, 104, 85, 117, 95, 127, 86, 118)(74, 106, 76, 108, 89, 121, 90, 122)(80, 112, 84, 116, 92, 124, 93, 125)(82, 114, 87, 119, 96, 128, 94, 126)
	L = (1, 68)(2, 74)(3, 71)(4, 70)(5, 80)(6, 81)(7, 65)(8, 82)(9, 76)(10, 75)(11, 90)(12, 66)(13, 79)(14, 84)(15, 67)(16, 83)(17, 77)(18, 86)(19, 93)(20, 69)(21, 87)(22, 94)(23, 72)(24, 89)(25, 73)(26, 88)(27, 92)(28, 78)(29, 91)(30, 95)(31, 96)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.264
Graph:: bipartite
	v = 9 e = 64 f = 5
	degree seq :: [ 8^8, 64 ]

E26.272 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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 * Y3^2, (Y3, Y1^-1), (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^4, Y2^-1 * Y1^-2 * Y3 * Y1^-2, Y2^-1 * Y1^2 * Y3 * Y1 * Y2^-1 * Y1, Y1 * Y3 * Y1^3 * Y2^-2, (Y3 * Y2^-1)^8, Y1^-1 * 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 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 21, 53, 17, 49, 28, 60, 30, 62, 14, 46, 3, 35, 9, 41, 22, 54, 16, 48, 4, 36, 10, 42, 23, 55, 29, 61, 13, 45, 26, 58, 32, 64, 20, 52, 7, 39, 12, 44, 25, 57, 19, 51, 6, 38, 11, 43, 24, 56, 31, 63, 15, 47, 27, 59, 18, 50, 5, 37)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 90, 122, 75, 107)(68, 100, 71, 103, 79, 111, 81, 113)(69, 101, 78, 110, 93, 125, 83, 115)(72, 104, 86, 118, 96, 128, 88, 120)(74, 106, 76, 108, 91, 123, 92, 124)(80, 112, 84, 116, 95, 127, 85, 117)(82, 114, 94, 126, 87, 119, 89, 121)
	L = (1, 68)(2, 74)(3, 71)(4, 70)(5, 80)(6, 81)(7, 65)(8, 87)(9, 76)(10, 75)(11, 92)(12, 66)(13, 79)(14, 84)(15, 67)(16, 83)(17, 77)(18, 86)(19, 85)(20, 69)(21, 93)(22, 89)(23, 88)(24, 94)(25, 72)(26, 91)(27, 73)(28, 90)(29, 95)(30, 96)(31, 78)(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) :: { ( 16, 64, 16, 64, 16, 64, 16, 64 ), ( 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 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 E26.259
Graph:: bipartite
	v = 9 e = 64 f = 5
	degree seq :: [ 8^8, 64 ]

E26.273 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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 * Y3^2, (Y1^-1, Y3^-1), (Y1^-1, Y2), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2^4, Y3^-1 * Y1^-2 * Y2 * Y1^-2, Y1 * Y2 * Y1 * Y3^-1 * Y1^2 * Y2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, (Y3 * Y2^-1)^8, (Y1 * Y2^-1 * Y1 * Y3^-1)^16 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 21, 53, 15, 47, 27, 59, 32, 64, 19, 51, 6, 38, 11, 43, 24, 56, 20, 52, 7, 39, 12, 44, 25, 57, 29, 61, 13, 45, 26, 58, 30, 62, 16, 48, 4, 36, 10, 42, 23, 55, 14, 46, 3, 35, 9, 41, 22, 54, 31, 63, 17, 49, 28, 60, 18, 50, 5, 37)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 90, 122, 75, 107)(68, 100, 71, 103, 79, 111, 81, 113)(69, 101, 78, 110, 93, 125, 83, 115)(72, 104, 86, 118, 94, 126, 88, 120)(74, 106, 76, 108, 91, 123, 92, 124)(80, 112, 84, 116, 85, 117, 95, 127)(82, 114, 87, 119, 89, 121, 96, 128)
	L = (1, 68)(2, 74)(3, 71)(4, 70)(5, 80)(6, 81)(7, 65)(8, 87)(9, 76)(10, 75)(11, 92)(12, 66)(13, 79)(14, 84)(15, 67)(16, 83)(17, 77)(18, 94)(19, 95)(20, 69)(21, 78)(22, 89)(23, 88)(24, 82)(25, 72)(26, 91)(27, 73)(28, 90)(29, 85)(30, 96)(31, 93)(32, 86)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.261
Graph:: bipartite
	v = 9 e = 64 f = 5
	degree seq :: [ 8^8, 64 ]

E26.274 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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 * Y2^-1 * Y1^-2, (Y3^-1, Y1^-1), Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y2^2 * Y1^-1 * Y2, Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (Y3^-1, Y2), Y3^2 * Y1^-1 * Y2^-1 * Y3^2, Y1^-1 * Y2 * Y3^-1 * Y2 * Y1^-2, (Y1^3 * Y3^-1)^2, Y3^2 * Y2 * Y3^3 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 20, 52, 30, 62, 29, 61, 16, 48, 24, 56, 18, 50, 25, 57, 14, 46, 3, 35, 9, 41, 7, 39, 12, 44, 22, 54, 31, 63, 27, 59, 17, 49, 4, 36, 10, 42, 6, 38, 11, 43, 21, 53, 15, 47, 23, 55, 19, 51, 26, 58, 32, 64, 28, 60, 13, 45, 5, 37)(65, 97, 67, 99, 75, 107, 66, 98, 73, 105, 85, 117, 72, 104, 71, 103, 79, 111, 84, 116, 76, 108, 87, 119, 94, 126, 86, 118, 83, 115, 93, 125, 95, 127, 90, 122, 80, 112, 91, 123, 96, 128, 88, 120, 81, 113, 92, 124, 82, 114, 68, 100, 77, 109, 89, 121, 74, 106, 69, 101, 78, 110, 70, 102)
	L = (1, 68)(2, 74)(3, 77)(4, 80)(5, 81)(6, 82)(7, 65)(8, 70)(9, 69)(10, 88)(11, 89)(12, 66)(13, 91)(14, 92)(15, 67)(16, 87)(17, 93)(18, 90)(19, 71)(20, 75)(21, 78)(22, 72)(23, 73)(24, 83)(25, 96)(26, 76)(27, 94)(28, 95)(29, 79)(30, 85)(31, 84)(32, 86)(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) :: { ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E26.255
Graph:: bipartite
	v = 2 e = 64 f = 12
	degree seq :: [ 64^2 ]

E26.275 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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 * Y3^-1, (Y3, Y1^-1), Y3^-1 * Y2^-1 * Y1 * Y2^-1, (Y3^-1, Y2), Y2^-1 * Y3^-1 * Y1 * Y2^-1, (R * Y1)^2, (Y1, Y2), (R * Y2)^2, (R * Y3)^2, Y3^3 * Y1 * Y2^-1 * Y1, Y2^-1 * Y1^-2 * Y3^2 * Y1^-1, Y1^-3 * Y3^-1 * Y1^-2, Y2^-2 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, (Y2^-1 * Y3)^4, (Y3^-1 * Y1^3)^4, Y2^25 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 22, 54, 20, 52, 7, 39, 12, 44, 26, 58, 17, 49, 29, 61, 21, 53, 30, 62, 19, 51, 6, 38, 11, 43, 25, 57, 32, 64, 31, 63, 13, 45, 3, 35, 9, 41, 23, 55, 15, 47, 28, 60, 14, 46, 27, 59, 16, 48, 4, 36, 10, 42, 24, 56, 18, 50, 5, 37)(65, 97, 67, 99, 76, 108, 91, 123, 83, 115, 69, 101, 77, 109, 71, 103, 78, 110, 94, 126, 82, 114, 95, 127, 84, 116, 92, 124, 85, 117, 88, 120, 96, 128, 86, 118, 79, 111, 93, 125, 74, 106, 89, 121, 72, 104, 87, 119, 81, 113, 68, 100, 75, 107, 66, 98, 73, 105, 90, 122, 80, 112, 70, 102)
	L = (1, 68)(2, 74)(3, 75)(4, 79)(5, 80)(6, 81)(7, 65)(8, 88)(9, 89)(10, 92)(11, 93)(12, 66)(13, 70)(14, 67)(15, 95)(16, 87)(17, 86)(18, 91)(19, 90)(20, 69)(21, 71)(22, 82)(23, 96)(24, 78)(25, 85)(26, 72)(27, 73)(28, 77)(29, 84)(30, 76)(31, 83)(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) :: { ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E26.254
Graph:: bipartite
	v = 2 e = 64 f = 12
	degree seq :: [ 64^2 ]

E26.276 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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^-1, Y1), (Y2, Y1^-1), (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y1^3, Y3^-2 * Y1 * Y3^-1, (R * Y1)^2, (Y3, Y2), Y1 * Y2^-3 * Y3 * Y2^-1, Y3 * Y2 * Y1^-1 * Y3^-1 * Y1^-2, Y3^-2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1, Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 3, 35, 9, 41, 22, 54, 13, 45, 25, 57, 17, 49, 28, 60, 16, 48, 4, 36, 10, 42, 23, 55, 14, 46, 26, 58, 32, 64, 31, 63, 21, 53, 30, 62, 19, 51, 7, 39, 12, 44, 24, 56, 15, 47, 27, 59, 20, 52, 29, 61, 18, 50, 6, 38, 11, 43, 5, 37)(65, 97, 67, 99, 77, 109, 92, 124, 74, 106, 90, 122, 85, 117, 71, 103, 79, 111, 93, 125, 75, 107, 66, 98, 73, 105, 89, 121, 80, 112, 87, 119, 96, 128, 94, 126, 76, 108, 91, 123, 82, 114, 69, 101, 72, 104, 86, 118, 81, 113, 68, 100, 78, 110, 95, 127, 83, 115, 88, 120, 84, 116, 70, 102)
	L = (1, 68)(2, 74)(3, 78)(4, 76)(5, 80)(6, 81)(7, 65)(8, 87)(9, 90)(10, 88)(11, 92)(12, 66)(13, 95)(14, 91)(15, 67)(16, 71)(17, 94)(18, 89)(19, 69)(20, 86)(21, 70)(22, 96)(23, 79)(24, 72)(25, 85)(26, 84)(27, 73)(28, 83)(29, 77)(30, 75)(31, 82)(32, 93)(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) :: { ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E26.256
Graph:: bipartite
	v = 2 e = 64 f = 12
	degree seq :: [ 64^2 ]

E26.277 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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^-1 * Y2^-1, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y1^-3, Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y2)^2, (R * Y3)^2, (Y3^-1 * Y2)^4, Y2^6 * Y3^-1 * Y1, (Y2^3 * Y1^-1)^2, Y3^9 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 4, 36, 10, 42, 6, 38, 11, 43, 18, 50, 16, 48, 21, 53, 17, 49, 22, 54, 28, 60, 26, 58, 31, 63, 27, 59, 32, 64, 23, 55, 29, 61, 25, 57, 30, 62, 24, 56, 13, 45, 19, 51, 15, 47, 20, 52, 14, 46, 3, 35, 9, 41, 7, 39, 12, 44, 5, 37)(65, 97, 67, 99, 77, 109, 87, 119, 92, 124, 82, 114, 72, 104, 71, 103, 79, 111, 89, 121, 95, 127, 85, 117, 74, 106, 69, 101, 78, 110, 88, 120, 96, 128, 86, 118, 75, 107, 66, 98, 73, 105, 83, 115, 93, 125, 90, 122, 80, 112, 68, 100, 76, 108, 84, 116, 94, 126, 91, 123, 81, 113, 70, 102)
	L = (1, 68)(2, 74)(3, 76)(4, 75)(5, 72)(6, 80)(7, 65)(8, 70)(9, 69)(10, 82)(11, 85)(12, 66)(13, 84)(14, 71)(15, 67)(16, 86)(17, 90)(18, 81)(19, 78)(20, 73)(21, 92)(22, 95)(23, 94)(24, 79)(25, 77)(26, 96)(27, 93)(28, 91)(29, 88)(30, 83)(31, 87)(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) :: { ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E26.257
Graph:: bipartite
	v = 2 e = 64 f = 12
	degree seq :: [ 64^2 ]

E26.278 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 11, 33, 33})
Quotient :: dipole
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2 * Y3, Y1^-1 * Y3 * Y2, Y1^3, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^11, Y2^5 * Y3^-6, 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 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 34, 2, 35, 5, 38)(3, 36, 8, 41, 7, 40)(4, 37, 9, 42, 6, 39)(10, 43, 15, 48, 11, 44)(12, 45, 14, 47, 13, 46)(16, 49, 18, 51, 17, 50)(19, 52, 21, 54, 20, 53)(22, 55, 24, 57, 23, 56)(25, 58, 27, 60, 26, 59)(28, 61, 30, 63, 29, 62)(31, 64, 33, 66, 32, 65)(67, 100, 69, 102, 76, 109, 82, 115, 88, 121, 94, 127, 99, 132, 92, 125, 85, 118, 80, 113, 72, 105)(68, 101, 74, 107, 81, 114, 84, 117, 90, 123, 96, 129, 98, 131, 91, 124, 87, 120, 79, 112, 70, 103)(71, 104, 73, 106, 77, 110, 83, 116, 89, 122, 95, 128, 97, 130, 93, 126, 86, 119, 78, 111, 75, 108)
	L = (1, 70)(2, 75)(3, 68)(4, 78)(5, 72)(6, 79)(7, 67)(8, 71)(9, 80)(10, 74)(11, 69)(12, 85)(13, 86)(14, 87)(15, 73)(16, 81)(17, 76)(18, 77)(19, 91)(20, 92)(21, 93)(22, 84)(23, 82)(24, 83)(25, 97)(26, 98)(27, 99)(28, 90)(29, 88)(30, 89)(31, 94)(32, 95)(33, 96)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 66^6 ), ( 66^22 ) }
Outer automorphisms :: reflexible
Dual of E26.300
Graph:: bipartite
	v = 14 e = 66 f = 2
	degree seq :: [ 6^11, 22^3 ]

E26.279 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 11, 33, 33})
Quotient :: dipole
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y3^-1, Y1^-1), (Y2^-1, Y1^-1), Y2^-1 * Y1 * Y2^-1 * Y3^-1, (R * Y2)^2, (R * Y3)^2, Y3 * Y2^2 * Y1^-1, (R * Y1)^2, Y2 * Y3^-1 * Y1^-1 * Y3^-4, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2, Y3^-1 * Y1 * Y3 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y1 * Y3 * Y2^-1, (Y3 * Y2^-1)^33 ]
Map:: non-degenerate
	R = (1, 34, 2, 35, 5, 38)(3, 36, 8, 41, 12, 45)(4, 37, 9, 42, 15, 48)(6, 39, 10, 43, 17, 50)(7, 40, 11, 44, 18, 51)(13, 46, 20, 53, 24, 57)(14, 47, 21, 54, 27, 60)(16, 49, 22, 55, 29, 62)(19, 52, 23, 56, 30, 63)(25, 58, 32, 65, 26, 59)(28, 61, 31, 64, 33, 66)(67, 100, 69, 102, 77, 110, 86, 119, 96, 129, 92, 125, 97, 130, 87, 120, 95, 128, 81, 114, 72, 105)(68, 101, 74, 107, 84, 117, 90, 123, 85, 118, 91, 124, 99, 132, 93, 126, 82, 115, 70, 103, 76, 109)(71, 104, 78, 111, 73, 106, 79, 112, 89, 122, 98, 131, 94, 127, 80, 113, 88, 121, 75, 108, 83, 116)
	L = (1, 70)(2, 75)(3, 76)(4, 80)(5, 81)(6, 82)(7, 67)(8, 83)(9, 87)(10, 88)(11, 68)(12, 72)(13, 69)(14, 92)(15, 93)(16, 94)(17, 95)(18, 71)(19, 73)(20, 74)(21, 91)(22, 97)(23, 77)(24, 78)(25, 79)(26, 90)(27, 98)(28, 96)(29, 99)(30, 84)(31, 85)(32, 86)(33, 89)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 66^6 ), ( 66^22 ) }
Outer automorphisms :: reflexible
Dual of E26.301
Graph:: bipartite
	v = 14 e = 66 f = 2
	degree seq :: [ 6^11, 22^3 ]

E26.280 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 11, 33, 33})
Quotient :: dipole
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (R * Y2)^2, Y2 * Y3^-3, (Y1, Y3^-1), (Y2^-1, Y1^-1), (R * Y1)^2, (Y2, Y3), (R * Y3)^2, Y2^-1 * Y3 * Y1^-1 * Y2^-3, Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-2, Y2^-3 * Y1 * Y3^-1 * Y1 * Y3^-1, Y2^-2 * Y1 * Y2^-2 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 34, 2, 35, 5, 38)(3, 36, 8, 41, 14, 47)(4, 37, 9, 42, 16, 49)(6, 39, 10, 43, 18, 51)(7, 40, 11, 44, 19, 52)(12, 45, 22, 55, 30, 63)(13, 46, 23, 56, 32, 65)(15, 48, 24, 57, 33, 66)(17, 50, 25, 58, 28, 61)(20, 53, 26, 59, 31, 64)(21, 54, 27, 60, 29, 62)(67, 100, 69, 102, 78, 111, 94, 127, 82, 115, 98, 131, 93, 126, 77, 110, 90, 123, 86, 119, 72, 105)(68, 101, 74, 107, 88, 121, 83, 116, 70, 103, 79, 112, 95, 128, 85, 118, 99, 132, 92, 125, 76, 109)(71, 104, 80, 113, 96, 129, 91, 124, 75, 108, 89, 122, 87, 120, 73, 106, 81, 114, 97, 130, 84, 117)
	L = (1, 70)(2, 75)(3, 79)(4, 81)(5, 82)(6, 83)(7, 67)(8, 89)(9, 90)(10, 91)(11, 68)(12, 95)(13, 97)(14, 98)(15, 69)(16, 99)(17, 73)(18, 94)(19, 71)(20, 88)(21, 72)(22, 87)(23, 86)(24, 74)(25, 77)(26, 96)(27, 76)(28, 85)(29, 84)(30, 93)(31, 78)(32, 92)(33, 80)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 66^6 ), ( 66^22 ) }
Outer automorphisms :: reflexible
Dual of E26.302
Graph:: bipartite
	v = 14 e = 66 f = 2
	degree seq :: [ 6^11, 22^3 ]

E26.281 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 11, 33, 33})
Quotient :: dipole
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y2^-1, Y3^-1), (Y2^-1, Y1^-1), (Y3, Y1), (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3^-3, (R * Y2)^2, Y3^2 * Y1 * Y2 * Y3 * Y1^-1, Y2^-1 * Y3^2 * Y1 * Y2^-2, Y1^-1 * Y3^-1 * Y2^-1 * Y1 * Y3^-2, Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y1 * Y3^-1, Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-2, (Y3 * Y2^-1)^33 ]
Map:: non-degenerate
	R = (1, 34, 2, 35, 5, 38)(3, 36, 8, 41, 14, 47)(4, 37, 9, 42, 17, 50)(6, 39, 10, 43, 19, 52)(7, 40, 11, 44, 20, 53)(12, 45, 22, 55, 28, 61)(13, 46, 23, 56, 29, 62)(15, 48, 24, 57, 30, 63)(16, 49, 25, 58, 31, 64)(18, 51, 26, 59, 32, 65)(21, 54, 27, 60, 33, 66)(67, 100, 69, 102, 78, 111, 91, 124, 77, 110, 90, 123, 98, 131, 83, 116, 95, 128, 87, 120, 72, 105)(68, 101, 74, 107, 88, 121, 97, 130, 86, 119, 96, 129, 84, 117, 70, 103, 79, 112, 93, 126, 76, 109)(71, 104, 80, 113, 94, 127, 82, 115, 73, 106, 81, 114, 92, 125, 75, 108, 89, 122, 99, 132, 85, 118)
	L = (1, 70)(2, 75)(3, 79)(4, 82)(5, 83)(6, 84)(7, 67)(8, 89)(9, 91)(10, 92)(11, 68)(12, 93)(13, 73)(14, 95)(15, 69)(16, 72)(17, 97)(18, 94)(19, 98)(20, 71)(21, 96)(22, 99)(23, 77)(24, 74)(25, 76)(26, 78)(27, 81)(28, 87)(29, 86)(30, 80)(31, 85)(32, 88)(33, 90)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 66^6 ), ( 66^22 ) }
Outer automorphisms :: reflexible
Dual of E26.303
Graph:: bipartite
	v = 14 e = 66 f = 2
	degree seq :: [ 6^11, 22^3 ]

E26.282 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 11, 33, 33})
Quotient :: dipole
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, Y2^-1 * Y3^-1, Y2 * Y3, Y2 * Y1 * Y3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2 * Y1 * Y3, Y1^-1 * Y2^2 * Y3^-1 * Y1^-2, (Y1^-1 * Y3^-1)^3, Y2^2 * Y3^-2 * Y1 * Y3^-5 * Y1, Y2^2 * Y3^-1 * Y1^8, Y2^33, (Y3 * Y2^-1)^33 ]
Map:: non-degenerate
	R = (1, 34, 2, 35, 6, 39, 14, 47, 22, 55, 28, 61, 33, 66, 26, 59, 19, 52, 13, 46, 5, 38)(3, 36, 7, 40, 15, 48, 23, 56, 29, 62, 31, 64, 27, 60, 20, 53, 11, 44, 18, 51, 10, 43)(4, 37, 8, 41, 16, 49, 9, 42, 17, 50, 24, 57, 30, 63, 32, 65, 25, 58, 21, 54, 12, 45)(67, 100, 69, 102, 75, 108, 80, 113, 89, 122, 96, 129, 99, 132, 93, 126, 87, 120, 79, 112, 84, 117, 74, 107, 68, 101, 73, 106, 83, 116, 88, 121, 95, 128, 98, 131, 92, 125, 86, 119, 78, 111, 71, 104, 76, 109, 82, 115, 72, 105, 81, 114, 90, 123, 94, 127, 97, 130, 91, 124, 85, 118, 77, 110, 70, 103)
	L = (1, 70)(2, 74)(3, 67)(4, 77)(5, 78)(6, 82)(7, 68)(8, 84)(9, 69)(10, 71)(11, 85)(12, 86)(13, 87)(14, 75)(15, 72)(16, 76)(17, 73)(18, 79)(19, 91)(20, 92)(21, 93)(22, 83)(23, 80)(24, 81)(25, 97)(26, 98)(27, 99)(28, 90)(29, 88)(30, 89)(31, 94)(32, 95)(33, 96)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66 ), ( 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66 ) }
Outer automorphisms :: reflexible
Dual of E26.292
Graph:: bipartite
	v = 4 e = 66 f = 12
	degree seq :: [ 22^3, 66 ]

E26.283 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 11, 33, 33})
Quotient :: dipole
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, (Y1^-1, Y2), (Y3, Y1), (Y2, Y1^-1), (R * Y1)^2, (R * Y2)^2, (Y3, Y1), (R * Y3)^2, Y3 * Y1 * Y3^2 * Y1^2, Y1^-1 * Y3 * Y2 * Y1^-3, Y3^2 * Y2 * Y3 * Y1^-1 * Y3, Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 34, 2, 35, 8, 41, 22, 55, 13, 46, 27, 60, 33, 66, 20, 53, 29, 62, 17, 50, 5, 38)(3, 36, 9, 42, 23, 56, 31, 64, 15, 48, 28, 61, 19, 52, 7, 40, 12, 45, 26, 59, 14, 47)(4, 37, 10, 43, 24, 57, 21, 54, 30, 63, 32, 65, 18, 51, 6, 39, 11, 44, 25, 58, 16, 49)(67, 100, 69, 102, 70, 103, 79, 112, 81, 114, 96, 129, 95, 128, 78, 111, 77, 110, 68, 101, 75, 108, 76, 109, 93, 126, 94, 127, 98, 131, 83, 116, 92, 125, 91, 124, 74, 107, 89, 122, 90, 123, 99, 132, 85, 118, 84, 117, 71, 104, 80, 113, 82, 115, 88, 121, 97, 130, 87, 120, 86, 119, 73, 106, 72, 105)
	L = (1, 70)(2, 76)(3, 79)(4, 81)(5, 82)(6, 69)(7, 67)(8, 90)(9, 93)(10, 94)(11, 75)(12, 68)(13, 96)(14, 88)(15, 95)(16, 97)(17, 91)(18, 80)(19, 71)(20, 72)(21, 73)(22, 87)(23, 99)(24, 85)(25, 89)(26, 74)(27, 98)(28, 83)(29, 77)(30, 78)(31, 86)(32, 92)(33, 84)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66 ), ( 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66 ) }
Outer automorphisms :: reflexible
Dual of E26.299
Graph:: bipartite
	v = 4 e = 66 f = 12
	degree seq :: [ 22^3, 66 ]

E26.284 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 11, 33, 33})
Quotient :: dipole
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y1), (Y2, Y1^-1), Y1^-1 * Y3 * Y1^-1 * Y2, Y2^-1 * Y1^2 * Y3^-1, Y1^-1 * Y3 * Y2 * Y1^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2 * Y3 * Y2^3, Y3^-1 * Y1^-2 * Y3^-2 * Y1^-1, Y2 * Y3^-1 * Y1^-1 * Y2^2 * Y3^-2, Y3 * Y2^-2 * Y3 * Y2 * Y3 * Y1 * Y2^-2, (Y3 * Y2^-1)^33 ]
Map:: non-degenerate
	R = (1, 34, 2, 35, 8, 41, 22, 55, 33, 66, 30, 63, 32, 65, 29, 62, 31, 64, 17, 50, 5, 38)(3, 36, 9, 42, 20, 53, 27, 60, 16, 49, 26, 59, 15, 48, 25, 58, 19, 52, 7, 40, 12, 45)(4, 37, 10, 43, 23, 56, 21, 54, 28, 61, 14, 47, 24, 57, 13, 46, 18, 51, 6, 39, 11, 44)(67, 100, 69, 102, 79, 112, 83, 116, 73, 106, 80, 113, 95, 128, 91, 124, 87, 120, 96, 129, 92, 125, 76, 109, 88, 121, 93, 126, 77, 110, 68, 101, 75, 108, 84, 117, 71, 104, 78, 111, 90, 123, 97, 130, 85, 118, 94, 127, 98, 131, 81, 114, 89, 122, 99, 132, 82, 115, 70, 103, 74, 107, 86, 119, 72, 105)
	L = (1, 70)(2, 76)(3, 74)(4, 81)(5, 77)(6, 82)(7, 67)(8, 89)(9, 88)(10, 91)(11, 92)(12, 68)(13, 86)(14, 69)(15, 97)(16, 98)(17, 72)(18, 93)(19, 71)(20, 99)(21, 73)(22, 87)(23, 85)(24, 75)(25, 83)(26, 95)(27, 96)(28, 78)(29, 79)(30, 80)(31, 84)(32, 90)(33, 94)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66 ), ( 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66 ) }
Outer automorphisms :: reflexible
Dual of E26.295
Graph:: bipartite
	v = 4 e = 66 f = 12
	degree seq :: [ 22^3, 66 ]

E26.285 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 11, 33, 33})
Quotient :: dipole
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2 * Y3, Y1^-1 * Y3 * Y2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^4 * Y3^-1 * Y2, (Y3^-1 * Y1^-1)^3, Y1^3 * Y3^3, Y3^-7 * 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 * Y3^2 * Y1 ]
Map:: non-degenerate
	R = (1, 34, 2, 35, 8, 41, 20, 53, 27, 60, 26, 59, 25, 58, 29, 62, 28, 61, 15, 48, 5, 38)(3, 36, 9, 42, 21, 54, 32, 65, 31, 64, 18, 51, 14, 47, 13, 46, 24, 57, 17, 50, 7, 40)(4, 37, 10, 43, 22, 55, 19, 52, 12, 45, 11, 44, 23, 56, 33, 66, 30, 63, 16, 49, 6, 39)(67, 100, 69, 102, 77, 110, 91, 124, 80, 113, 70, 103, 68, 101, 75, 108, 89, 122, 95, 128, 79, 112, 76, 109, 74, 107, 87, 120, 99, 132, 94, 127, 90, 123, 88, 121, 86, 119, 98, 131, 96, 129, 81, 114, 83, 116, 85, 118, 93, 126, 97, 130, 82, 115, 71, 104, 73, 106, 78, 111, 92, 125, 84, 117, 72, 105)
	L = (1, 70)(2, 76)(3, 68)(4, 79)(5, 72)(6, 80)(7, 67)(8, 88)(9, 74)(10, 90)(11, 75)(12, 69)(13, 94)(14, 95)(15, 82)(16, 84)(17, 71)(18, 91)(19, 73)(20, 85)(21, 86)(22, 83)(23, 87)(24, 81)(25, 89)(26, 77)(27, 78)(28, 96)(29, 99)(30, 97)(31, 92)(32, 93)(33, 98)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66 ), ( 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66 ) }
Outer automorphisms :: reflexible
Dual of E26.298
Graph:: bipartite
	v = 4 e = 66 f = 12
	degree seq :: [ 22^3, 66 ]

E26.286 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 11, 33, 33})
Quotient :: dipole
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^-1 * Y1^-1, Y2^-1 * Y3^2 * Y1^-1, Y3 * Y1^-1 * Y3 * Y2^-1, (Y1, Y2), (R * Y2)^2, (Y3, Y1^-1), (R * Y3)^2, (Y3, Y2), (R * Y1)^2, Y1 * Y2^-1 * Y1 * Y2^-2, Y2 * Y1 * Y3 * Y2^-1 * Y1^-1 * Y3^-1, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y1 * Y2^4 * Y1 ]
Map:: non-degenerate
	R = (1, 34, 2, 35, 8, 41, 22, 55, 21, 54, 28, 61, 30, 63, 14, 47, 27, 60, 17, 50, 5, 38)(3, 36, 9, 42, 23, 56, 19, 52, 7, 40, 12, 45, 25, 58, 29, 62, 32, 65, 20, 53, 15, 48)(4, 37, 10, 43, 24, 57, 18, 51, 6, 39, 11, 44, 13, 46, 26, 59, 33, 66, 31, 64, 16, 49)(67, 100, 69, 102, 79, 112, 74, 107, 89, 122, 99, 132, 87, 120, 73, 106, 82, 115, 96, 129, 91, 124, 76, 109, 93, 126, 98, 131, 84, 117, 71, 104, 81, 114, 77, 110, 68, 101, 75, 108, 92, 125, 88, 121, 85, 118, 97, 130, 94, 127, 78, 111, 70, 103, 80, 113, 95, 128, 90, 123, 83, 116, 86, 119, 72, 105)
	L = (1, 70)(2, 76)(3, 80)(4, 75)(5, 82)(6, 78)(7, 67)(8, 90)(9, 93)(10, 89)(11, 91)(12, 68)(13, 95)(14, 92)(15, 96)(16, 69)(17, 97)(18, 73)(19, 71)(20, 94)(21, 72)(22, 84)(23, 83)(24, 85)(25, 74)(26, 98)(27, 99)(28, 77)(29, 88)(30, 79)(31, 81)(32, 87)(33, 86)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66 ), ( 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66 ) }
Outer automorphisms :: reflexible
Dual of E26.297
Graph:: bipartite
	v = 4 e = 66 f = 12
	degree seq :: [ 22^3, 66 ]

E26.287 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 11, 33, 33})
Quotient :: dipole
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1 * Y2^-2, (Y2^-1, Y3^-1), (Y2^-1, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1^-1, Y3), Y3^4 * Y2, Y2^2 * Y1^2 * Y3^-1, Y1 * Y3^-1 * Y1^2 * Y2^-1, (Y1^-1 * Y3^-1)^3, Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^2 * Y2^-1, 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 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 34, 2, 35, 8, 41, 13, 46, 25, 58, 32, 65, 30, 63, 33, 66, 22, 55, 19, 52, 5, 38)(3, 36, 9, 42, 18, 51, 27, 60, 31, 64, 16, 49, 26, 59, 21, 54, 7, 40, 12, 45, 14, 47)(4, 37, 10, 43, 24, 57, 23, 56, 28, 61, 29, 62, 15, 48, 20, 53, 6, 39, 11, 44, 17, 50)(67, 100, 69, 102, 77, 110, 68, 101, 75, 108, 83, 116, 74, 107, 84, 117, 70, 103, 79, 112, 93, 126, 76, 109, 91, 124, 97, 130, 90, 123, 98, 131, 82, 115, 89, 122, 96, 129, 92, 125, 94, 127, 99, 132, 87, 120, 95, 128, 88, 121, 73, 106, 81, 114, 85, 118, 78, 111, 86, 119, 71, 104, 80, 113, 72, 105)
	L = (1, 70)(2, 76)(3, 79)(4, 82)(5, 83)(6, 84)(7, 67)(8, 90)(9, 91)(10, 92)(11, 93)(12, 68)(13, 89)(14, 74)(15, 69)(16, 88)(17, 97)(18, 98)(19, 77)(20, 75)(21, 71)(22, 72)(23, 73)(24, 87)(25, 94)(26, 85)(27, 96)(28, 78)(29, 80)(30, 81)(31, 99)(32, 95)(33, 86)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66 ), ( 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66 ) }
Outer automorphisms :: reflexible
Dual of E26.294
Graph:: bipartite
	v = 4 e = 66 f = 12
	degree seq :: [ 22^3, 66 ]

E26.288 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 11, 33, 33})
Quotient :: dipole
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1), (R * Y1)^2, (Y3^-1, Y2^-1), (Y2, Y1), (R * Y2)^2, (R * Y3)^2, Y1^2 * Y2^-1 * Y3 * Y2^-1, Y2 * Y3 * Y2 * Y1 * Y3, Y3^-1 * Y1^-2 * Y2^2, Y3^2 * Y1 * Y2^2, Y1^-2 * Y3^2 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y3^2, Y2^33 ]
Map:: non-degenerate
	R = (1, 34, 2, 35, 8, 41, 26, 59, 32, 65, 14, 47, 24, 57, 30, 63, 33, 66, 20, 53, 5, 38)(3, 36, 9, 42, 27, 60, 17, 50, 23, 56, 22, 55, 7, 40, 12, 45, 28, 61, 19, 52, 15, 48)(4, 37, 10, 43, 13, 46, 25, 58, 31, 64, 21, 54, 6, 39, 11, 44, 16, 49, 29, 62, 18, 51)(67, 100, 69, 102, 79, 112, 96, 129, 78, 111, 95, 128, 92, 125, 83, 116, 87, 120, 71, 104, 81, 114, 76, 109, 90, 123, 73, 106, 82, 115, 74, 107, 93, 126, 97, 130, 86, 119, 85, 118, 70, 103, 80, 113, 88, 121, 77, 110, 68, 101, 75, 108, 91, 124, 99, 132, 94, 127, 84, 117, 98, 131, 89, 122, 72, 105)
	L = (1, 70)(2, 76)(3, 80)(4, 83)(5, 84)(6, 85)(7, 67)(8, 79)(9, 90)(10, 89)(11, 81)(12, 68)(13, 88)(14, 87)(15, 98)(16, 69)(17, 99)(18, 93)(19, 92)(20, 95)(21, 94)(22, 71)(23, 86)(24, 72)(25, 73)(26, 91)(27, 96)(28, 74)(29, 75)(30, 77)(31, 78)(32, 97)(33, 82)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66 ), ( 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66 ) }
Outer automorphisms :: reflexible
Dual of E26.293
Graph:: bipartite
	v = 4 e = 66 f = 12
	degree seq :: [ 22^3, 66 ]

E26.289 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 11, 33, 33})
Quotient :: dipole
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-3, (Y1^-1, Y3^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y2), Y3 * Y2^-1 * Y1^-1 * Y3 * Y1^-1, Y1 * Y2^-2 * Y3^-2, Y1^-1 * Y3^-2 * 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 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 34, 2, 35, 8, 41, 24, 57, 30, 63, 22, 55, 14, 47, 27, 60, 33, 66, 20, 53, 5, 38)(3, 36, 9, 42, 17, 50, 28, 61, 21, 54, 7, 40, 12, 45, 19, 52, 29, 62, 31, 64, 15, 48)(4, 37, 10, 43, 25, 58, 23, 56, 13, 46, 6, 39, 11, 44, 26, 59, 32, 65, 16, 49, 18, 51)(67, 100, 69, 102, 79, 112, 71, 104, 81, 114, 89, 122, 86, 119, 97, 130, 91, 124, 99, 132, 95, 128, 76, 109, 93, 126, 85, 118, 70, 103, 80, 113, 78, 111, 84, 117, 88, 121, 73, 106, 82, 115, 96, 129, 87, 120, 98, 131, 90, 123, 94, 127, 92, 125, 74, 107, 83, 116, 77, 110, 68, 101, 75, 108, 72, 105)
	L = (1, 70)(2, 76)(3, 80)(4, 83)(5, 84)(6, 85)(7, 67)(8, 91)(9, 93)(10, 94)(11, 95)(12, 68)(13, 78)(14, 77)(15, 88)(16, 69)(17, 99)(18, 75)(19, 74)(20, 82)(21, 71)(22, 72)(23, 73)(24, 89)(25, 87)(26, 97)(27, 92)(28, 86)(29, 90)(30, 79)(31, 96)(32, 81)(33, 98)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66 ), ( 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66 ) }
Outer automorphisms :: reflexible
Dual of E26.296
Graph:: bipartite
	v = 4 e = 66 f = 12
	degree seq :: [ 22^3, 66 ]

E26.290 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 11, 33, 33})
Quotient :: dipole
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-2, (Y1^-1, Y2), (R * Y2)^2, (Y1, Y3), (Y1, Y2^-1), (R * Y3)^2, (R * Y1)^2, Y1^2 * Y2 * Y1 * Y3, Y2 * Y1^3 * Y3^-1 * Y2, Y2^-3 * Y1^2 * Y3^-1 * Y2^-1, Y1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 34, 2, 35, 8, 41, 21, 54, 26, 59, 27, 60, 32, 65, 30, 63, 14, 47, 17, 50, 5, 38)(3, 36, 9, 42, 19, 52, 7, 40, 12, 45, 23, 56, 20, 53, 25, 58, 28, 61, 31, 64, 15, 48)(4, 37, 10, 43, 18, 51, 6, 39, 11, 44, 22, 55, 33, 66, 29, 62, 13, 46, 24, 57, 16, 49)(67, 100, 69, 102, 79, 112, 93, 126, 89, 122, 84, 117, 71, 104, 81, 114, 95, 128, 92, 125, 78, 111, 76, 109, 83, 116, 97, 130, 99, 132, 87, 120, 73, 106, 70, 103, 80, 113, 94, 127, 88, 121, 74, 107, 85, 118, 82, 115, 96, 129, 91, 124, 77, 110, 68, 101, 75, 108, 90, 123, 98, 131, 86, 119, 72, 105)
	L = (1, 70)(2, 76)(3, 80)(4, 69)(5, 82)(6, 73)(7, 67)(8, 84)(9, 83)(10, 75)(11, 78)(12, 68)(13, 94)(14, 79)(15, 96)(16, 81)(17, 90)(18, 85)(19, 71)(20, 87)(21, 72)(22, 89)(23, 74)(24, 97)(25, 92)(26, 77)(27, 88)(28, 93)(29, 91)(30, 95)(31, 98)(32, 99)(33, 86)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66 ), ( 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66 ) }
Outer automorphisms :: reflexible
Dual of E26.291
Graph:: bipartite
	v = 4 e = 66 f = 12
	degree seq :: [ 22^3, 66 ]

E26.291 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 11, 33, 33})
Quotient :: dipole
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, Y2^3, Y1 * Y2^-1 * Y3^-1 * Y2, (R * Y1)^2, (R * Y3)^2, (Y2, Y1), (R * Y2 * Y3^-1)^2, Y1^-5 * Y3^-1 * Y1^-5 * Y2^-1, (Y3 * Y2^-1)^11, (Y3^-1 * Y1^-1)^33 ]
Map:: non-degenerate
	R = (1, 34, 2, 35, 6, 39, 12, 45, 18, 51, 24, 57, 30, 63, 29, 62, 23, 56, 17, 50, 11, 44, 5, 38, 8, 41, 14, 47, 20, 53, 26, 59, 32, 65, 33, 66, 27, 60, 21, 54, 15, 48, 9, 42, 3, 36, 7, 40, 13, 46, 19, 52, 25, 58, 31, 64, 28, 61, 22, 55, 16, 49, 10, 43, 4, 37)(67, 100, 69, 102, 71, 104)(68, 101, 73, 106, 74, 107)(70, 103, 75, 108, 77, 110)(72, 105, 79, 112, 80, 113)(76, 109, 81, 114, 83, 116)(78, 111, 85, 118, 86, 119)(82, 115, 87, 120, 89, 122)(84, 117, 91, 124, 92, 125)(88, 121, 93, 126, 95, 128)(90, 123, 97, 130, 98, 131)(94, 127, 99, 132, 96, 129)
	L = (1, 68)(2, 72)(3, 73)(4, 67)(5, 74)(6, 78)(7, 79)(8, 80)(9, 69)(10, 70)(11, 71)(12, 84)(13, 85)(14, 86)(15, 75)(16, 76)(17, 77)(18, 90)(19, 91)(20, 92)(21, 81)(22, 82)(23, 83)(24, 96)(25, 97)(26, 98)(27, 87)(28, 88)(29, 89)(30, 95)(31, 94)(32, 99)(33, 93)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 22, 66, 22, 66, 22, 66 ), ( 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66 ) }
Outer automorphisms :: reflexible
Dual of E26.290
Graph:: bipartite
	v = 12 e = 66 f = 4
	degree seq :: [ 6^11, 66 ]

E26.292 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 11, 33, 33})
Quotient :: dipole
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3 * Y1 * Y3, (Y2, Y3^-1), (Y2, Y3), (Y2, Y1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3 * Y2 * Y1^-5 ]
Map:: non-degenerate
	R = (1, 34, 2, 35, 8, 41, 20, 53, 26, 59, 12, 45, 14, 47, 24, 57, 33, 66, 31, 64, 18, 51, 6, 39, 10, 43, 22, 55, 28, 61, 15, 48, 4, 37, 7, 40, 11, 44, 23, 56, 27, 60, 13, 46, 3, 36, 9, 42, 21, 54, 32, 65, 29, 62, 16, 49, 19, 52, 25, 58, 30, 63, 17, 50, 5, 38)(67, 100, 69, 102, 72, 105)(68, 101, 75, 108, 76, 109)(70, 103, 78, 111, 82, 115)(71, 104, 79, 112, 84, 117)(73, 106, 80, 113, 85, 118)(74, 107, 87, 120, 88, 121)(77, 110, 90, 123, 91, 124)(81, 114, 92, 125, 95, 128)(83, 116, 93, 126, 97, 130)(86, 119, 98, 131, 94, 127)(89, 122, 99, 132, 96, 129)
	L = (1, 70)(2, 73)(3, 78)(4, 71)(5, 81)(6, 82)(7, 67)(8, 77)(9, 80)(10, 85)(11, 68)(12, 79)(13, 92)(14, 69)(15, 83)(16, 84)(17, 94)(18, 95)(19, 72)(20, 89)(21, 90)(22, 91)(23, 74)(24, 75)(25, 76)(26, 93)(27, 86)(28, 96)(29, 97)(30, 88)(31, 98)(32, 99)(33, 87)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 22, 66, 22, 66, 22, 66 ), ( 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66 ) }
Outer automorphisms :: reflexible
Dual of E26.282
Graph:: bipartite
	v = 12 e = 66 f = 4
	degree seq :: [ 6^11, 66 ]

E26.293 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 11, 33, 33})
Quotient :: dipole
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^3, (Y2, Y1), (Y3, Y2), (Y1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^3 * Y3^-1 * Y2, Y3^-1 * Y1^2 * Y2 * Y1, Y3^-4 * Y1, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-2 * Y1^-1, Y3 * Y1 * Y2^-1 * Y3^2 * Y1 * Y2^-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 * Y2 * Y3 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 34, 2, 35, 8, 41, 18, 51, 28, 61, 32, 65, 30, 63, 21, 54, 7, 40, 12, 45, 20, 53, 6, 39, 11, 44, 25, 58, 13, 46, 26, 59, 23, 56, 16, 49, 27, 60, 22, 55, 29, 62, 14, 47, 3, 36, 9, 42, 17, 50, 4, 37, 10, 43, 24, 57, 33, 66, 31, 64, 15, 48, 19, 52, 5, 38)(67, 100, 69, 102, 72, 105)(68, 101, 75, 108, 77, 110)(70, 103, 79, 112, 84, 117)(71, 104, 80, 113, 86, 119)(73, 106, 81, 114, 88, 121)(74, 107, 83, 116, 91, 124)(76, 109, 92, 125, 94, 127)(78, 111, 85, 118, 95, 128)(82, 115, 96, 129, 99, 132)(87, 120, 97, 130, 93, 126)(89, 122, 98, 131, 90, 123)
	L = (1, 70)(2, 76)(3, 79)(4, 82)(5, 83)(6, 84)(7, 67)(8, 90)(9, 92)(10, 93)(11, 94)(12, 68)(13, 96)(14, 91)(15, 69)(16, 78)(17, 89)(18, 99)(19, 75)(20, 74)(21, 71)(22, 72)(23, 73)(24, 88)(25, 98)(26, 87)(27, 86)(28, 97)(29, 77)(30, 85)(31, 80)(32, 81)(33, 95)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 22, 66, 22, 66, 22, 66 ), ( 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66 ) }
Outer automorphisms :: reflexible
Dual of E26.288
Graph:: bipartite
	v = 12 e = 66 f = 4
	degree seq :: [ 6^11, 66 ]

E26.294 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 11, 33, 33})
Quotient :: dipole
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^-1 * Y2^-1 * Y1^2, Y3 * Y1^-1 * Y2 * Y1^-1, (R * Y2)^2, (R * Y3)^2, (Y1, Y3), Y1^-1 * Y3 * Y2 * Y1^-1, (R * Y1)^2, (Y2^-1, Y1^-1), (Y2, Y3^-1), Y3^-1 * Y1^-1 * Y3^-4, Y2 * Y1^2 * Y3 * Y1^2 * Y3 * Y1 * Y3, Y3 * Y2 * Y1^31, 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 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 34, 2, 35, 8, 41, 20, 53, 27, 60, 32, 65, 26, 59, 19, 52, 24, 57, 13, 46, 17, 50, 6, 39, 11, 44, 4, 37, 10, 43, 21, 54, 30, 63, 33, 66, 29, 62, 18, 51, 7, 40, 12, 45, 3, 36, 9, 42, 15, 48, 23, 56, 14, 47, 22, 55, 31, 64, 25, 58, 28, 61, 16, 49, 5, 38)(67, 100, 69, 102, 72, 105)(68, 101, 75, 108, 77, 110)(70, 103, 74, 107, 81, 114)(71, 104, 78, 111, 83, 116)(73, 106, 79, 112, 82, 115)(76, 109, 86, 119, 89, 122)(80, 113, 87, 120, 93, 126)(84, 117, 90, 123, 94, 127)(85, 118, 91, 124, 95, 128)(88, 121, 96, 129, 98, 131)(92, 125, 97, 130, 99, 132)
	L = (1, 70)(2, 76)(3, 74)(4, 80)(5, 77)(6, 81)(7, 67)(8, 87)(9, 86)(10, 88)(11, 89)(12, 68)(13, 69)(14, 92)(15, 93)(16, 72)(17, 75)(18, 71)(19, 73)(20, 96)(21, 97)(22, 85)(23, 98)(24, 78)(25, 79)(26, 84)(27, 99)(28, 83)(29, 82)(30, 91)(31, 90)(32, 95)(33, 94)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 22, 66, 22, 66, 22, 66 ), ( 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66 ) }
Outer automorphisms :: reflexible
Dual of E26.287
Graph:: bipartite
	v = 12 e = 66 f = 4
	degree seq :: [ 6^11, 66 ]

E26.295 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 11, 33, 33})
Quotient :: dipole
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^3, (Y3, Y2^-1), (R * Y2)^2, (Y3^-1, Y1^-1), (R * Y3)^2, (Y1, Y2), (R * Y1)^2, Y3 * Y1^3 * Y2^-1, Y1^2 * Y3 * Y1 * Y2^-1, Y3 * Y1^-1 * Y3^2 * Y2^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y3^-3 * Y1^-1, Y2^-1 * Y1^-1 * Y3^3 * Y1^-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^-1 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 34, 2, 35, 8, 41, 15, 48, 27, 60, 16, 49, 28, 61, 32, 65, 13, 46, 26, 59, 20, 53, 6, 39, 11, 44, 21, 54, 7, 40, 12, 45, 25, 58, 33, 66, 17, 50, 4, 37, 10, 43, 14, 47, 3, 36, 9, 42, 24, 57, 22, 55, 29, 62, 31, 64, 23, 56, 30, 63, 18, 51, 19, 52, 5, 38)(67, 100, 69, 102, 72, 105)(68, 101, 75, 108, 77, 110)(70, 103, 79, 112, 84, 117)(71, 104, 80, 113, 86, 119)(73, 106, 81, 114, 88, 121)(74, 107, 90, 123, 87, 120)(76, 109, 92, 125, 85, 118)(78, 111, 93, 126, 95, 128)(82, 115, 97, 130, 91, 124)(83, 116, 98, 131, 96, 129)(89, 122, 99, 132, 94, 127)
	L = (1, 70)(2, 76)(3, 79)(4, 82)(5, 83)(6, 84)(7, 67)(8, 80)(9, 92)(10, 94)(11, 85)(12, 68)(13, 97)(14, 98)(15, 69)(16, 90)(17, 93)(18, 91)(19, 99)(20, 96)(21, 71)(22, 72)(23, 73)(24, 86)(25, 74)(26, 89)(27, 75)(28, 88)(29, 77)(30, 78)(31, 87)(32, 95)(33, 81)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 22, 66, 22, 66, 22, 66 ), ( 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66 ) }
Outer automorphisms :: reflexible
Dual of E26.284
Graph:: bipartite
	v = 12 e = 66 f = 4
	degree seq :: [ 6^11, 66 ]

E26.296 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 11, 33, 33})
Quotient :: dipole
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^3, (Y3, Y2), (Y1^-1, Y2^-1), (R * Y1)^2, (Y1^-1, Y3), (R * Y2)^2, (R * Y3)^2, Y3 * Y1^-1 * Y3^2 * Y2, Y2^-1 * Y1 * Y3^-3, Y1 * Y3^-1 * Y1^3, Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2, Y1^-1 * Y3 * Y2^-1 * Y3^2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 34, 2, 35, 8, 41, 17, 50, 4, 37, 10, 43, 25, 58, 22, 55, 16, 49, 29, 62, 20, 53, 6, 39, 11, 44, 26, 59, 33, 66, 18, 51, 30, 63, 32, 65, 15, 48, 28, 61, 31, 64, 14, 47, 3, 36, 9, 42, 24, 57, 23, 56, 13, 46, 27, 60, 21, 54, 7, 40, 12, 45, 19, 52, 5, 38)(67, 100, 69, 102, 72, 105)(68, 101, 75, 108, 77, 110)(70, 103, 79, 112, 84, 117)(71, 104, 80, 113, 86, 119)(73, 106, 81, 114, 88, 121)(74, 107, 90, 123, 92, 125)(76, 109, 93, 126, 96, 129)(78, 111, 94, 127, 82, 115)(83, 116, 89, 122, 99, 132)(85, 118, 97, 130, 95, 128)(87, 120, 98, 131, 91, 124)
	L = (1, 70)(2, 76)(3, 79)(4, 82)(5, 83)(6, 84)(7, 67)(8, 91)(9, 93)(10, 95)(11, 96)(12, 68)(13, 78)(14, 89)(15, 69)(16, 77)(17, 88)(18, 94)(19, 74)(20, 99)(21, 71)(22, 72)(23, 73)(24, 87)(25, 86)(26, 98)(27, 85)(28, 75)(29, 92)(30, 97)(31, 90)(32, 80)(33, 81)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 22, 66, 22, 66, 22, 66 ), ( 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66 ) }
Outer automorphisms :: reflexible
Dual of E26.289
Graph:: bipartite
	v = 12 e = 66 f = 4
	degree seq :: [ 6^11, 66 ]

E26.297 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 11, 33, 33})
Quotient :: dipole
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^3, (Y1^-1, Y2^-1), Y1^-1 * Y3 * Y2^-1 * Y3, (R * Y1)^2, Y2^-1 * Y3^2 * Y1^-1, (Y3, Y1^-1), (R * Y3)^2, (R * Y2)^2, Y1^-1 * Y3^2 * Y2^-1, Y3^-1 * Y1^-5, Y1 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 34, 2, 35, 8, 41, 20, 53, 18, 51, 7, 40, 12, 45, 24, 57, 32, 65, 28, 61, 17, 50, 6, 39, 11, 44, 23, 56, 31, 64, 29, 62, 19, 52, 13, 46, 25, 58, 33, 66, 26, 59, 14, 47, 3, 36, 9, 42, 21, 54, 30, 63, 27, 60, 15, 48, 4, 37, 10, 43, 22, 55, 16, 49, 5, 38)(67, 100, 69, 102, 72, 105)(68, 101, 75, 108, 77, 110)(70, 103, 79, 112, 78, 111)(71, 104, 80, 113, 83, 116)(73, 106, 81, 114, 85, 118)(74, 107, 87, 120, 89, 122)(76, 109, 91, 124, 90, 123)(82, 115, 92, 125, 94, 127)(84, 117, 93, 126, 95, 128)(86, 119, 96, 129, 97, 130)(88, 121, 99, 132, 98, 131)
	L = (1, 70)(2, 76)(3, 79)(4, 75)(5, 81)(6, 78)(7, 67)(8, 88)(9, 91)(10, 87)(11, 90)(12, 68)(13, 77)(14, 85)(15, 69)(16, 93)(17, 73)(18, 71)(19, 72)(20, 82)(21, 99)(22, 96)(23, 98)(24, 74)(25, 89)(26, 95)(27, 80)(28, 84)(29, 83)(30, 92)(31, 94)(32, 86)(33, 97)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 22, 66, 22, 66, 22, 66 ), ( 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66 ) }
Outer automorphisms :: reflexible
Dual of E26.286
Graph:: bipartite
	v = 12 e = 66 f = 4
	degree seq :: [ 6^11, 66 ]

E26.298 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 11, 33, 33})
Quotient :: dipole
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^3, (Y3^-1, Y1), (Y2, Y1), (Y2^-1, Y3^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3 * Y1 * Y3^2 * Y2^-1, Y2^-1 * Y3^3 * Y1, Y3^2 * Y2 * Y1^-3, Y2^-1 * Y1^-2 * Y3^-1 * Y1^-2, Y1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3 * 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 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 34, 2, 35, 8, 41, 24, 57, 22, 55, 31, 64, 17, 50, 4, 37, 10, 43, 26, 59, 20, 53, 6, 39, 11, 44, 27, 60, 16, 49, 15, 48, 30, 63, 33, 66, 18, 51, 23, 56, 32, 65, 14, 47, 3, 36, 9, 42, 25, 58, 21, 54, 7, 40, 12, 45, 28, 61, 13, 46, 29, 62, 19, 52, 5, 38)(67, 100, 69, 102, 72, 105)(68, 101, 75, 108, 77, 110)(70, 103, 79, 112, 84, 117)(71, 104, 80, 113, 86, 119)(73, 106, 81, 114, 88, 121)(74, 107, 91, 124, 93, 126)(76, 109, 95, 128, 89, 122)(78, 111, 96, 129, 97, 130)(82, 115, 90, 123, 87, 120)(83, 116, 94, 127, 99, 132)(85, 118, 98, 131, 92, 125)
	L = (1, 70)(2, 76)(3, 79)(4, 82)(5, 83)(6, 84)(7, 67)(8, 92)(9, 95)(10, 81)(11, 89)(12, 68)(13, 90)(14, 94)(15, 69)(16, 80)(17, 93)(18, 87)(19, 97)(20, 99)(21, 71)(22, 72)(23, 73)(24, 86)(25, 85)(26, 96)(27, 98)(28, 74)(29, 88)(30, 75)(31, 77)(32, 78)(33, 91)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 22, 66, 22, 66, 22, 66 ), ( 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66 ) }
Outer automorphisms :: reflexible
Dual of E26.285
Graph:: bipartite
	v = 12 e = 66 f = 4
	degree seq :: [ 6^11, 66 ]

E26.299 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 11, 33, 33})
Quotient :: dipole
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3 * Y1^2, (Y2, Y1), (Y2, Y3^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y3^-3 * Y2 * Y1 * Y3^-2, 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 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 34, 2, 35, 7, 40, 10, 43, 19, 52, 22, 55, 31, 64, 28, 61, 29, 62, 16, 49, 17, 50, 6, 39, 9, 42, 18, 51, 21, 54, 30, 63, 32, 65, 33, 66, 23, 56, 24, 57, 11, 44, 12, 45, 3, 36, 8, 41, 13, 46, 20, 53, 25, 58, 26, 59, 27, 60, 14, 47, 15, 48, 4, 37, 5, 38)(67, 100, 69, 102, 72, 105)(68, 101, 74, 107, 75, 108)(70, 103, 77, 110, 82, 115)(71, 104, 78, 111, 83, 116)(73, 106, 79, 112, 84, 117)(76, 109, 86, 119, 87, 120)(80, 113, 89, 122, 94, 127)(81, 114, 90, 123, 95, 128)(85, 118, 91, 124, 96, 129)(88, 121, 92, 125, 98, 131)(93, 126, 99, 132, 97, 130)
	L = (1, 70)(2, 71)(3, 77)(4, 80)(5, 81)(6, 82)(7, 67)(8, 78)(9, 83)(10, 68)(11, 89)(12, 90)(13, 69)(14, 92)(15, 93)(16, 94)(17, 95)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 98)(24, 99)(25, 79)(26, 86)(27, 91)(28, 88)(29, 97)(30, 84)(31, 85)(32, 87)(33, 96)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 22, 66, 22, 66, 22, 66 ), ( 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66, 22, 66 ) }
Outer automorphisms :: reflexible
Dual of E26.283
Graph:: bipartite
	v = 12 e = 66 f = 4
	degree seq :: [ 6^11, 66 ]

E26.300 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 11, 33, 33})
Quotient :: dipole
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1 * Y2^-1, (Y3^-1, Y2), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y1), Y2 * Y1^-1 * Y2 * Y1^2, Y3^-3 * Y1^-1 * Y2, Y1^-5 * Y3 ]
Map:: non-degenerate
	R = (1, 34, 2, 35, 8, 41, 22, 55, 16, 49, 4, 37, 9, 42, 23, 56, 32, 65, 31, 64, 15, 48, 14, 47, 20, 53, 26, 59, 30, 63, 13, 46, 3, 36, 6, 39, 10, 43, 24, 57, 29, 62, 12, 45, 17, 50, 21, 54, 27, 60, 33, 66, 28, 61, 19, 52, 7, 40, 11, 44, 25, 58, 18, 51, 5, 38)(67, 100, 69, 102, 71, 104, 79, 112, 84, 117, 96, 129, 91, 124, 92, 125, 77, 110, 86, 119, 73, 106, 80, 113, 85, 118, 81, 114, 94, 127, 97, 130, 99, 132, 98, 131, 93, 126, 89, 122, 87, 120, 75, 108, 83, 116, 70, 103, 78, 111, 82, 115, 95, 128, 88, 121, 90, 123, 74, 107, 76, 109, 68, 101, 72, 105)
	L = (1, 70)(2, 75)(3, 78)(4, 81)(5, 82)(6, 83)(7, 67)(8, 89)(9, 80)(10, 87)(11, 68)(12, 94)(13, 95)(14, 69)(15, 79)(16, 97)(17, 85)(18, 88)(19, 71)(20, 72)(21, 73)(22, 98)(23, 86)(24, 93)(25, 74)(26, 76)(27, 77)(28, 84)(29, 99)(30, 90)(31, 96)(32, 92)(33, 91)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22 ) }
Outer automorphisms :: reflexible
Dual of E26.278
Graph:: bipartite
	v = 2 e = 66 f = 14
	degree seq :: [ 66^2 ]

E26.301 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 11, 33, 33})
Quotient :: dipole
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, (Y1^-1, Y3), (R * Y1)^2, (Y2^-1, Y3^-1), Y2^-1 * Y3^-1 * Y2^-1 * Y1^-2, Y3^-1 * Y1^-1 * Y2^-2 * Y1^-1, Y3^2 * Y1^-1 * Y3 * Y2, Y2^-1 * Y1 * Y2^-3, (Y2^-1 * Y3)^3, Y2^2 * Y3^-1 * Y1^2 * Y2^-1 * Y1 * Y3^-1, Y3^-1 * Y2^2 * Y3^-1 * Y2^2 * Y3^-1 * Y2^2 * Y3^-1 * Y2^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^2 ]
Map:: non-degenerate
	R = (1, 34, 2, 35, 8, 41, 26, 59, 33, 66, 25, 58, 14, 47, 21, 54, 6, 39, 11, 44, 27, 60, 16, 49, 29, 62, 18, 51, 4, 37, 10, 43, 23, 56, 13, 46, 22, 55, 7, 40, 12, 45, 28, 61, 19, 52, 31, 64, 15, 48, 3, 36, 9, 42, 24, 57, 17, 50, 30, 63, 32, 65, 20, 53, 5, 38)(67, 100, 69, 102, 79, 112, 77, 110, 68, 101, 75, 108, 88, 121, 93, 126, 74, 107, 90, 123, 73, 106, 82, 115, 92, 125, 83, 116, 78, 111, 95, 128, 99, 132, 96, 129, 94, 127, 84, 117, 91, 124, 98, 131, 85, 118, 70, 103, 80, 113, 86, 119, 97, 130, 76, 109, 87, 120, 71, 104, 81, 114, 89, 122, 72, 105)
	L = (1, 70)(2, 76)(3, 80)(4, 83)(5, 84)(6, 85)(7, 67)(8, 89)(9, 87)(10, 96)(11, 97)(12, 68)(13, 86)(14, 78)(15, 91)(16, 69)(17, 77)(18, 90)(19, 92)(20, 95)(21, 94)(22, 71)(23, 98)(24, 72)(25, 73)(26, 79)(27, 81)(28, 74)(29, 75)(30, 93)(31, 99)(32, 82)(33, 88)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22 ) }
Outer automorphisms :: reflexible
Dual of E26.279
Graph:: bipartite
	v = 2 e = 66 f = 14
	degree seq :: [ 66^2 ]

E26.302 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 11, 33, 33})
Quotient :: dipole
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3, (Y2, Y3^-1), (Y2, Y3^-1), (Y2, Y1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2^-1 * Y3^2 * Y2^-2 * Y3, Y2^-1 * Y1^-1 * Y2^-4, Y3^-1 * Y2^-1 * Y3^-2 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^11 ]
Map:: non-degenerate
	R = (1, 34, 2, 35, 4, 37, 9, 42, 15, 48, 24, 57, 27, 60, 19, 52, 26, 59, 33, 66, 32, 65, 14, 47, 13, 46, 3, 36, 8, 41, 12, 45, 23, 56, 31, 64, 20, 53, 17, 50, 6, 39, 10, 43, 16, 49, 25, 58, 30, 63, 29, 62, 11, 44, 22, 55, 28, 61, 21, 54, 18, 51, 7, 40, 5, 38)(67, 100, 69, 102, 77, 110, 93, 126, 83, 116, 71, 104, 79, 112, 95, 128, 90, 123, 86, 119, 73, 106, 80, 113, 96, 129, 81, 114, 97, 130, 84, 117, 98, 131, 91, 124, 75, 108, 89, 122, 87, 120, 99, 132, 82, 115, 70, 103, 78, 111, 94, 127, 92, 125, 76, 109, 68, 101, 74, 107, 88, 121, 85, 118, 72, 105)
	L = (1, 70)(2, 75)(3, 78)(4, 81)(5, 68)(6, 82)(7, 67)(8, 89)(9, 90)(10, 91)(11, 94)(12, 97)(13, 74)(14, 69)(15, 93)(16, 96)(17, 76)(18, 71)(19, 99)(20, 72)(21, 73)(22, 87)(23, 86)(24, 85)(25, 95)(26, 98)(27, 92)(28, 84)(29, 88)(30, 77)(31, 83)(32, 79)(33, 80)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22 ) }
Outer automorphisms :: reflexible
Dual of E26.280
Graph:: bipartite
	v = 2 e = 66 f = 14
	degree seq :: [ 66^2 ]

E26.303 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 11, 33, 33})
Quotient :: dipole
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y2^-1), (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (Y2, Y1^-1), (R * Y2)^2, Y3^4 * Y1, Y1^-2 * Y2 * Y3^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y2^-1, Y2^2 * Y1 * Y3 * Y2, Y2^-1 * Y1^-2 * Y3 * Y2^-1 * Y1^-1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1, Y1^33 ]
Map:: non-degenerate
	R = (1, 34, 2, 35, 8, 41, 26, 59, 32, 65, 13, 46, 24, 57, 18, 51, 4, 37, 10, 43, 28, 61, 16, 49, 29, 62, 21, 54, 6, 39, 11, 44, 17, 50, 25, 58, 15, 48, 3, 36, 9, 42, 27, 60, 19, 52, 30, 63, 22, 55, 7, 40, 12, 45, 14, 47, 23, 56, 31, 64, 33, 66, 20, 53, 5, 38)(67, 100, 69, 102, 79, 112, 88, 121, 94, 127, 97, 130, 77, 110, 68, 101, 75, 108, 90, 123, 73, 106, 82, 115, 99, 132, 83, 116, 74, 107, 93, 126, 84, 117, 78, 111, 95, 128, 86, 119, 91, 124, 92, 125, 85, 118, 70, 103, 80, 113, 87, 120, 71, 104, 81, 114, 98, 131, 96, 129, 76, 109, 89, 122, 72, 105)
	L = (1, 70)(2, 76)(3, 80)(4, 83)(5, 84)(6, 85)(7, 67)(8, 94)(9, 89)(10, 91)(11, 96)(12, 68)(13, 87)(14, 74)(15, 78)(16, 69)(17, 88)(18, 77)(19, 99)(20, 90)(21, 93)(22, 71)(23, 92)(24, 72)(25, 73)(26, 82)(27, 97)(28, 81)(29, 75)(30, 86)(31, 98)(32, 95)(33, 79)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22 ) }
Outer automorphisms :: reflexible
Dual of E26.281
Graph:: bipartite
	v = 2 e = 66 f = 14
	degree seq :: [ 66^2 ]

E26.304 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 7, 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, Y3^5 * Y1^-1 * Y3^2, (Y2^-1 * 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, 99)(23, 102)(24, 103)(25, 85)(26, 86)(27, 87)(28, 105)(29, 89)(30, 104)(31, 91)(32, 97)(33, 101)(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) :: { ( 14, 70, 14, 70, 14, 70, 14, 70, 14, 70 ) }
Outer automorphisms :: reflexible
Dual of E26.311
Graph:: bipartite
	v = 14 e = 70 f = 6
	degree seq :: [ 10^14 ]

E26.305 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 7, 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, (Y1, Y2^-1), (R * Y1)^2, (R * Y3)^2, Y1^5, (R * Y2 * Y3^-1)^2, Y2^7, (Y3^-1 * Y1^-1)^5 ]
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, 93, 128, 83, 118, 75, 110)(72, 107, 77, 112, 86, 121, 96, 131, 97, 132, 87, 122, 78, 113)(74, 109, 80, 115, 89, 124, 98, 133, 101, 136, 92, 127, 82, 117)(76, 111, 84, 119, 94, 129, 102, 137, 103, 138, 95, 130, 85, 120)(81, 116, 90, 125, 99, 134, 104, 139, 105, 140, 100, 135, 91, 126)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.310
Graph:: bipartite
	v = 12 e = 70 f = 8
	degree seq :: [ 10^7, 14^5 ]

E26.306 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 7, 35})
Quotient :: dipole
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^2, Y1 * Y3^-2, (Y2, Y3^-1), (Y1^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^7, 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, 32, 67, 30, 65, 31, 66)(26, 61, 29, 64, 35, 70, 33, 68, 34, 69)(71, 106, 73, 108, 80, 115, 90, 125, 96, 131, 86, 121, 76, 111)(72, 107, 78, 113, 88, 123, 98, 133, 99, 134, 89, 124, 79, 114)(74, 109, 81, 116, 91, 126, 100, 135, 103, 138, 94, 129, 84, 119)(75, 110, 82, 117, 92, 127, 101, 136, 104, 139, 95, 130, 85, 120)(77, 112, 83, 118, 93, 128, 102, 137, 105, 140, 97, 132, 87, 122)
	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, 100)(21, 88)(22, 93)(23, 80)(24, 89)(25, 97)(26, 103)(27, 86)(28, 101)(29, 104)(30, 98)(31, 102)(32, 90)(33, 99)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.309
Graph:: bipartite
	v = 12 e = 70 f = 8
	degree seq :: [ 10^7, 14^5 ]

E26.307 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 7, 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, Y1^2 * Y3^-1, (Y1^-1, Y2), (Y2, Y3), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2^7 ]
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, 96, 131, 86, 121, 76, 111)(72, 107, 78, 113, 88, 123, 98, 133, 99, 134, 89, 124, 79, 114)(74, 109, 81, 116, 91, 126, 100, 135, 103, 138, 94, 129, 84, 119)(75, 110, 82, 117, 92, 127, 101, 136, 104, 139, 95, 130, 85, 120)(77, 112, 83, 118, 93, 128, 102, 137, 105, 140, 97, 132, 87, 122)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.308
Graph:: bipartite
	v = 12 e = 70 f = 8
	degree seq :: [ 10^7, 14^5 ]

E26.308 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 7, 35})
Quotient :: dipole
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1, Y3^-1 * Y2^-1, Y2 * Y3, (Y2^-1, Y1^-1), (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y2^5, Y2^5, Y3 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1^-2, Y2^2 * Y1^-7, (Y3 * Y2^-1)^5, (Y1^-1 * Y2)^7 ]
Map:: non-degenerate
	R = (1, 36, 2, 37, 6, 41, 14, 49, 24, 59, 29, 64, 19, 54, 9, 44, 17, 52, 27, 62, 35, 70, 32, 67, 22, 57, 12, 47, 4, 39, 8, 43, 16, 51, 26, 61, 30, 65, 20, 55, 10, 45, 3, 38, 7, 42, 15, 50, 25, 60, 34, 69, 31, 66, 21, 56, 11, 46, 18, 53, 28, 63, 33, 68, 23, 58, 13, 48, 5, 40)(71, 106, 73, 108, 79, 114, 81, 116, 74, 109)(72, 107, 77, 112, 87, 122, 88, 123, 78, 113)(75, 110, 80, 115, 89, 124, 91, 126, 82, 117)(76, 111, 85, 120, 97, 132, 98, 133, 86, 121)(83, 118, 90, 125, 99, 134, 101, 136, 92, 127)(84, 119, 95, 130, 105, 140, 103, 138, 96, 131)(93, 128, 100, 135, 94, 129, 104, 139, 102, 137)
	L = (1, 74)(2, 78)(3, 71)(4, 81)(5, 82)(6, 86)(7, 72)(8, 88)(9, 73)(10, 75)(11, 79)(12, 91)(13, 92)(14, 96)(15, 76)(16, 98)(17, 77)(18, 87)(19, 80)(20, 83)(21, 89)(22, 101)(23, 102)(24, 100)(25, 84)(26, 103)(27, 85)(28, 97)(29, 90)(30, 93)(31, 99)(32, 104)(33, 105)(34, 94)(35, 95)(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, 14, 10, 14, 10, 14, 10, 14, 10, 14 ), ( 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14 ) }
Outer automorphisms :: reflexible
Dual of E26.307
Graph:: bipartite
	v = 8 e = 70 f = 12
	degree seq :: [ 10^7, 70 ]

E26.309 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 7, 35})
Quotient :: dipole
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, Y3 * Y2 * Y3, (Y1^-1, Y3^-1), (Y2^-1, Y1), (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y1), (R * Y3)^2, Y1^3 * Y2^-1 * Y1^4, Y1^-1 * Y2 * 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, 36, 2, 37, 8, 43, 18, 53, 28, 63, 23, 58, 13, 48, 3, 38, 9, 44, 19, 54, 29, 64, 33, 68, 24, 59, 14, 49, 4, 39, 10, 45, 20, 55, 30, 65, 35, 70, 27, 62, 17, 52, 7, 42, 12, 47, 22, 57, 32, 67, 34, 69, 26, 61, 16, 51, 6, 41, 11, 46, 21, 56, 31, 66, 25, 60, 15, 50, 5, 40)(71, 106, 73, 108, 74, 109, 77, 112, 76, 111)(72, 107, 79, 114, 80, 115, 82, 117, 81, 116)(75, 110, 83, 118, 84, 119, 87, 122, 86, 121)(78, 113, 89, 124, 90, 125, 92, 127, 91, 126)(85, 120, 93, 128, 94, 129, 97, 132, 96, 131)(88, 123, 99, 134, 100, 135, 102, 137, 101, 136)(95, 130, 98, 133, 103, 138, 105, 140, 104, 139)
	L = (1, 74)(2, 80)(3, 77)(4, 76)(5, 84)(6, 73)(7, 71)(8, 90)(9, 82)(10, 81)(11, 79)(12, 72)(13, 87)(14, 86)(15, 94)(16, 83)(17, 75)(18, 100)(19, 92)(20, 91)(21, 89)(22, 78)(23, 97)(24, 96)(25, 103)(26, 93)(27, 85)(28, 105)(29, 102)(30, 101)(31, 99)(32, 88)(33, 104)(34, 98)(35, 95)(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, 14, 10, 14, 10, 14, 10, 14, 10, 14 ), ( 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14 ) }
Outer automorphisms :: reflexible
Dual of E26.306
Graph:: bipartite
	v = 8 e = 70 f = 12
	degree seq :: [ 10^7, 70 ]

E26.310 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 7, 35})
Quotient :: dipole
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1 * Y2^-1, Y2 * Y3^-2, (Y1, Y3), (R * Y3)^2, (R * Y2)^2, (Y2^-1, Y1), (R * Y1)^2, Y1^3 * Y2 * Y1^-3 * Y2^-1, Y2^-1 * Y1^-7, 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 ]
Map:: non-degenerate
	R = (1, 36, 2, 37, 8, 43, 18, 53, 28, 63, 26, 61, 16, 51, 6, 41, 11, 46, 21, 56, 31, 66, 34, 69, 24, 59, 14, 49, 4, 39, 10, 45, 20, 55, 30, 65, 35, 70, 27, 62, 17, 52, 7, 42, 12, 47, 22, 57, 32, 67, 33, 68, 23, 58, 13, 48, 3, 38, 9, 44, 19, 54, 29, 64, 25, 60, 15, 50, 5, 40)(71, 106, 73, 108, 77, 112, 74, 109, 76, 111)(72, 107, 79, 114, 82, 117, 80, 115, 81, 116)(75, 110, 83, 118, 87, 122, 84, 119, 86, 121)(78, 113, 89, 124, 92, 127, 90, 125, 91, 126)(85, 120, 93, 128, 97, 132, 94, 129, 96, 131)(88, 123, 99, 134, 102, 137, 100, 135, 101, 136)(95, 130, 103, 138, 105, 140, 104, 139, 98, 133)
	L = (1, 74)(2, 80)(3, 76)(4, 73)(5, 84)(6, 77)(7, 71)(8, 90)(9, 81)(10, 79)(11, 82)(12, 72)(13, 86)(14, 83)(15, 94)(16, 87)(17, 75)(18, 100)(19, 91)(20, 89)(21, 92)(22, 78)(23, 96)(24, 93)(25, 104)(26, 97)(27, 85)(28, 105)(29, 101)(30, 99)(31, 102)(32, 88)(33, 98)(34, 103)(35, 95)(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, 14, 10, 14, 10, 14, 10, 14, 10, 14 ), ( 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14, 10, 14 ) }
Outer automorphisms :: reflexible
Dual of E26.305
Graph:: bipartite
	v = 8 e = 70 f = 12
	degree seq :: [ 10^7, 70 ]

E26.311 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 7, 35})
Quotient :: dipole
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-2 * Y3^-1, Y2^-1 * Y3^-1 * Y1^-2, (Y3^-1, Y1^-1), (R * Y2)^2, (Y2^-1, Y1), (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y3), Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y2 * Y3^-2 * Y2 * Y3^-1 * Y1^-1, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1, Y2^-5 * Y1^2, Y2^-1 * Y1^2 * Y3^-2 * Y2^-1 * Y1, Y2^-1 * Y3^-1 * Y1^5 ]
Map:: non-degenerate
	R = (1, 36, 2, 37, 8, 43, 22, 57, 35, 70, 14, 49, 5, 40)(3, 38, 9, 44, 7, 42, 12, 47, 24, 59, 32, 67, 15, 50)(4, 39, 10, 45, 6, 41, 11, 46, 23, 58, 34, 69, 18, 53)(13, 48, 25, 60, 16, 51, 26, 61, 21, 56, 30, 65, 33, 68)(17, 52, 27, 62, 19, 54, 28, 63, 20, 55, 29, 64, 31, 66)(71, 106, 73, 108, 83, 118, 101, 136, 93, 128, 78, 113, 77, 112, 86, 121, 97, 132, 88, 123, 105, 140, 94, 129, 91, 126, 98, 133, 80, 115, 75, 110, 85, 120, 103, 138, 99, 134, 81, 116, 72, 107, 79, 114, 95, 130, 87, 122, 104, 139, 92, 127, 82, 117, 96, 131, 89, 124, 74, 109, 84, 119, 102, 137, 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, 100)(32, 92)(33, 94)(34, 99)(35, 93)(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) :: { ( 10^14 ), ( 10^70 ) }
Outer automorphisms :: reflexible
Dual of E26.304
Graph:: bipartite
	v = 6 e = 70 f = 14
	degree seq :: [ 14^5, 70 ]

E26.312 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 18, 18})
Quotient :: edge^2
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = C4 x D18 (small group id <72, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2, Y1^4, R * Y2 * R * Y1, Y2^4, Y1 * Y3 * Y2 * Y3, (R * Y3)^2, Y1^-2 * Y2^-1 * Y3^3 * Y2^-1 * Y3^3, Y3^-1 * Y2^-1 * Y3^3 * Y2^-1 * Y3^-5 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 11, 47, 19, 55, 27, 63, 35, 71, 30, 66, 22, 58, 14, 50, 6, 42, 13, 49, 21, 57, 29, 65, 36, 72, 28, 64, 20, 56, 12, 48, 5, 41)(2, 38, 7, 43, 15, 51, 23, 59, 31, 67, 34, 70, 26, 62, 18, 54, 10, 46, 3, 39, 9, 45, 17, 53, 25, 61, 33, 69, 32, 68, 24, 60, 16, 52, 8, 44)(73, 74, 78, 75)(76, 80, 85, 82)(77, 79, 86, 81)(83, 88, 93, 90)(84, 87, 94, 89)(91, 96, 101, 98)(92, 95, 102, 97)(99, 104, 108, 106)(100, 103, 107, 105)(109, 111, 114, 110)(112, 118, 121, 116)(113, 117, 122, 115)(119, 126, 129, 124)(120, 125, 130, 123)(127, 134, 137, 132)(128, 133, 138, 131)(135, 142, 144, 140)(136, 141, 143, 139)
	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) :: { ( 72^4 ), ( 72^36 ) }
Outer automorphisms :: reflexible
Dual of E26.316
Graph:: bipartite
	v = 20 e = 72 f = 2
	degree seq :: [ 4^18, 36^2 ]

E26.313 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 18, 18})
Quotient :: edge^2
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = C4 x D18 (small group id <72, 5>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^2, Y2^4, (R * Y3)^2, Y2 * Y1^-2 * Y2, R * Y1 * R * Y2, Y3 * Y2^-1 * Y3 * Y2, Y1 * Y3 * Y1^-1 * Y3, Y3 * Y1^-1 * Y3^-2 * Y2, Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1, Y1^-1 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y3^-2, Y3^-2 * Y1 * Y2 * Y3^-1 * Y1 * Y2^-1, Y1^-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 * 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 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 17, 53, 15, 51, 33, 69, 28, 64, 9, 45, 26, 62, 24, 60, 8, 44, 23, 59, 32, 68, 13, 49, 31, 67, 30, 66, 11, 47, 22, 58, 7, 43)(2, 38, 10, 46, 29, 65, 27, 63, 35, 71, 19, 55, 6, 42, 21, 57, 18, 54, 5, 41, 20, 56, 36, 72, 25, 61, 34, 70, 16, 52, 3, 39, 14, 50, 12, 48)(73, 74, 80, 77)(75, 85, 78, 87)(76, 84, 95, 90)(79, 82, 96, 92)(81, 97, 83, 99)(86, 104, 93, 89)(88, 103, 91, 105)(94, 101, 98, 108)(100, 106, 102, 107)(109, 111, 116, 114)(110, 117, 113, 119)(112, 124, 131, 127)(115, 122, 132, 129)(118, 136, 128, 138)(120, 134, 126, 130)(121, 135, 123, 133)(125, 142, 140, 143)(137, 141, 144, 139)
	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) :: { ( 72^4 ), ( 72^36 ) }
Outer automorphisms :: reflexible
Dual of E26.318
Graph:: bipartite
	v = 20 e = 72 f = 2
	degree seq :: [ 4^18, 36^2 ]

E26.314 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 18, 18})
Quotient :: edge^2
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = C4 x D18 (small group id <72, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2 * Y1^-1, Y1^4, R * Y1 * R * Y2, Y2^-1 * Y3 * Y2 * Y3, Y1 * Y2^2 * Y1, Y2^4, (R * Y3)^2, Y1^-1 * Y3^-1 * Y1 * Y3^-1, Y1^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1, Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2, Y2^-1 * Y3^-4 * Y1^-1, (Y1^-1 * Y2)^18 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 17, 53, 25, 61, 9, 45, 15, 51, 31, 67, 36, 72, 24, 60, 8, 44, 23, 59, 35, 71, 27, 63, 11, 47, 13, 49, 29, 65, 22, 58, 7, 43)(2, 38, 10, 46, 26, 62, 19, 55, 6, 42, 21, 57, 34, 70, 33, 69, 18, 54, 5, 41, 20, 56, 32, 68, 16, 52, 3, 39, 14, 50, 30, 66, 28, 64, 12, 48)(73, 74, 80, 77)(75, 85, 78, 87)(76, 84, 95, 90)(79, 82, 96, 92)(81, 86, 83, 93)(88, 101, 91, 103)(89, 100, 107, 105)(94, 98, 108, 104)(97, 102, 99, 106)(109, 111, 116, 114)(110, 117, 113, 119)(112, 124, 131, 127)(115, 122, 132, 129)(118, 133, 128, 135)(120, 123, 126, 121)(125, 140, 143, 134)(130, 138, 144, 142)(136, 139, 141, 137)
	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) :: { ( 72^4 ), ( 72^36 ) }
Outer automorphisms :: reflexible
Dual of E26.317
Graph:: bipartite
	v = 20 e = 72 f = 2
	degree seq :: [ 4^18, 36^2 ]

E26.315 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 18, 18})
Quotient :: edge^2
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = (C18 x C2) : C2 (small group id <72, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, Y2^-1 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3^4, R * Y2 * R * Y1, (R * Y3)^2, Y1^5 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-3, Y2^2 * Y3^-2 * Y1^-1 * Y2^3 * Y3^2 * Y2^3 * Y3^2, Y2^18 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 12, 48, 5, 41)(2, 38, 7, 43, 16, 52, 8, 44)(3, 39, 10, 46, 20, 56, 11, 47)(6, 42, 14, 50, 24, 60, 15, 51)(9, 45, 18, 54, 28, 64, 19, 55)(13, 49, 22, 58, 32, 68, 23, 59)(17, 53, 26, 62, 36, 72, 27, 63)(21, 57, 30, 66, 33, 69, 31, 67)(25, 61, 34, 70, 29, 65, 35, 71)(73, 74, 78, 85, 93, 101, 108, 100, 92, 84, 88, 96, 104, 105, 97, 89, 81, 75)(76, 82, 90, 98, 106, 103, 95, 87, 80, 77, 83, 91, 99, 107, 102, 94, 86, 79)(109, 111, 117, 125, 133, 141, 140, 132, 124, 120, 128, 136, 144, 137, 129, 121, 114, 110)(112, 115, 122, 130, 138, 143, 135, 127, 119, 113, 116, 123, 131, 139, 142, 134, 126, 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) :: { ( 16^8 ), ( 16^18 ) }
Outer automorphisms :: reflexible
Dual of E26.319
Graph:: bipartite
	v = 13 e = 72 f = 9
	degree seq :: [ 8^9, 18^4 ]

E26.316 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 18, 18})
Quotient :: loop^2
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = C4 x D18 (small group id <72, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2, Y1^4, R * Y2 * R * Y1, Y2^4, Y1 * Y3 * Y2 * Y3, (R * Y3)^2, Y1^-2 * Y2^-1 * Y3^3 * Y2^-1 * Y3^3, Y3^-1 * Y2^-1 * Y3^3 * Y2^-1 * Y3^-5 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 11, 47, 83, 119, 19, 55, 91, 127, 27, 63, 99, 135, 35, 71, 107, 143, 30, 66, 102, 138, 22, 58, 94, 130, 14, 50, 86, 122, 6, 42, 78, 114, 13, 49, 85, 121, 21, 57, 93, 129, 29, 65, 101, 137, 36, 72, 108, 144, 28, 64, 100, 136, 20, 56, 92, 128, 12, 48, 84, 120, 5, 41, 77, 113)(2, 38, 74, 110, 7, 43, 79, 115, 15, 51, 87, 123, 23, 59, 95, 131, 31, 67, 103, 139, 34, 70, 106, 142, 26, 62, 98, 134, 18, 54, 90, 126, 10, 46, 82, 118, 3, 39, 75, 111, 9, 45, 81, 117, 17, 53, 89, 125, 25, 61, 97, 133, 33, 69, 105, 141, 32, 68, 104, 140, 24, 60, 96, 132, 16, 52, 88, 124, 8, 44, 80, 116)
	L = (1, 38)(2, 42)(3, 37)(4, 44)(5, 43)(6, 39)(7, 50)(8, 49)(9, 41)(10, 40)(11, 52)(12, 51)(13, 46)(14, 45)(15, 58)(16, 57)(17, 48)(18, 47)(19, 60)(20, 59)(21, 54)(22, 53)(23, 66)(24, 65)(25, 56)(26, 55)(27, 68)(28, 67)(29, 62)(30, 61)(31, 71)(32, 72)(33, 64)(34, 63)(35, 69)(36, 70)(73, 111)(74, 109)(75, 114)(76, 118)(77, 117)(78, 110)(79, 113)(80, 112)(81, 122)(82, 121)(83, 126)(84, 125)(85, 116)(86, 115)(87, 120)(88, 119)(89, 130)(90, 129)(91, 134)(92, 133)(93, 124)(94, 123)(95, 128)(96, 127)(97, 138)(98, 137)(99, 142)(100, 141)(101, 132)(102, 131)(103, 136)(104, 135)(105, 143)(106, 144)(107, 139)(108, 140)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.312
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 72 f = 20
	degree seq :: [ 72^2 ]

E26.317 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 18, 18})
Quotient :: loop^2
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = C4 x D18 (small group id <72, 5>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^2, Y2^4, (R * Y3)^2, Y2 * Y1^-2 * Y2, R * Y1 * R * Y2, Y3 * Y2^-1 * Y3 * Y2, Y1 * Y3 * Y1^-1 * Y3, Y3 * Y1^-1 * Y3^-2 * Y2, Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1, Y1^-1 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y3^-2, Y3^-2 * Y1 * Y2 * Y3^-1 * Y1 * Y2^-1, Y1^-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 * 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 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 17, 53, 89, 125, 15, 51, 87, 123, 33, 69, 105, 141, 28, 64, 100, 136, 9, 45, 81, 117, 26, 62, 98, 134, 24, 60, 96, 132, 8, 44, 80, 116, 23, 59, 95, 131, 32, 68, 104, 140, 13, 49, 85, 121, 31, 67, 103, 139, 30, 66, 102, 138, 11, 47, 83, 119, 22, 58, 94, 130, 7, 43, 79, 115)(2, 38, 74, 110, 10, 46, 82, 118, 29, 65, 101, 137, 27, 63, 99, 135, 35, 71, 107, 143, 19, 55, 91, 127, 6, 42, 78, 114, 21, 57, 93, 129, 18, 54, 90, 126, 5, 41, 77, 113, 20, 56, 92, 128, 36, 72, 108, 144, 25, 61, 97, 133, 34, 70, 106, 142, 16, 52, 88, 124, 3, 39, 75, 111, 14, 50, 86, 122, 12, 48, 84, 120)
	L = (1, 38)(2, 44)(3, 49)(4, 48)(5, 37)(6, 51)(7, 46)(8, 41)(9, 61)(10, 60)(11, 63)(12, 59)(13, 42)(14, 68)(15, 39)(16, 67)(17, 50)(18, 40)(19, 69)(20, 43)(21, 53)(22, 65)(23, 54)(24, 56)(25, 47)(26, 72)(27, 45)(28, 70)(29, 62)(30, 71)(31, 55)(32, 57)(33, 52)(34, 66)(35, 64)(36, 58)(73, 111)(74, 117)(75, 116)(76, 124)(77, 119)(78, 109)(79, 122)(80, 114)(81, 113)(82, 136)(83, 110)(84, 134)(85, 135)(86, 132)(87, 133)(88, 131)(89, 142)(90, 130)(91, 112)(92, 138)(93, 115)(94, 120)(95, 127)(96, 129)(97, 121)(98, 126)(99, 123)(100, 128)(101, 141)(102, 118)(103, 137)(104, 143)(105, 144)(106, 140)(107, 125)(108, 139)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.314
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 72 f = 20
	degree seq :: [ 72^2 ]

E26.318 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 18, 18})
Quotient :: loop^2
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = C4 x D18 (small group id <72, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2 * Y1^-1, Y1^4, R * Y1 * R * Y2, Y2^-1 * Y3 * Y2 * Y3, Y1 * Y2^2 * Y1, Y2^4, (R * Y3)^2, Y1^-1 * Y3^-1 * Y1 * Y3^-1, Y1^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1, Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2, Y2^-1 * Y3^-4 * Y1^-1, (Y1^-1 * Y2)^18 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 17, 53, 89, 125, 25, 61, 97, 133, 9, 45, 81, 117, 15, 51, 87, 123, 31, 67, 103, 139, 36, 72, 108, 144, 24, 60, 96, 132, 8, 44, 80, 116, 23, 59, 95, 131, 35, 71, 107, 143, 27, 63, 99, 135, 11, 47, 83, 119, 13, 49, 85, 121, 29, 65, 101, 137, 22, 58, 94, 130, 7, 43, 79, 115)(2, 38, 74, 110, 10, 46, 82, 118, 26, 62, 98, 134, 19, 55, 91, 127, 6, 42, 78, 114, 21, 57, 93, 129, 34, 70, 106, 142, 33, 69, 105, 141, 18, 54, 90, 126, 5, 41, 77, 113, 20, 56, 92, 128, 32, 68, 104, 140, 16, 52, 88, 124, 3, 39, 75, 111, 14, 50, 86, 122, 30, 66, 102, 138, 28, 64, 100, 136, 12, 48, 84, 120)
	L = (1, 38)(2, 44)(3, 49)(4, 48)(5, 37)(6, 51)(7, 46)(8, 41)(9, 50)(10, 60)(11, 57)(12, 59)(13, 42)(14, 47)(15, 39)(16, 65)(17, 64)(18, 40)(19, 67)(20, 43)(21, 45)(22, 62)(23, 54)(24, 56)(25, 66)(26, 72)(27, 70)(28, 71)(29, 55)(30, 63)(31, 52)(32, 58)(33, 53)(34, 61)(35, 69)(36, 68)(73, 111)(74, 117)(75, 116)(76, 124)(77, 119)(78, 109)(79, 122)(80, 114)(81, 113)(82, 133)(83, 110)(84, 123)(85, 120)(86, 132)(87, 126)(88, 131)(89, 140)(90, 121)(91, 112)(92, 135)(93, 115)(94, 138)(95, 127)(96, 129)(97, 128)(98, 125)(99, 118)(100, 139)(101, 136)(102, 144)(103, 141)(104, 143)(105, 137)(106, 130)(107, 134)(108, 142)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.313
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 72 f = 20
	degree seq :: [ 72^2 ]

E26.319 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 18, 18})
Quotient :: loop^2
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = (C18 x C2) : C2 (small group id <72, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, Y2^-1 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3^4, R * Y2 * R * Y1, (R * Y3)^2, Y1^5 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-3, Y2^2 * Y3^-2 * Y1^-1 * Y2^3 * Y3^2 * Y2^3 * Y3^2, Y2^18 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 12, 48, 84, 120, 5, 41, 77, 113)(2, 38, 74, 110, 7, 43, 79, 115, 16, 52, 88, 124, 8, 44, 80, 116)(3, 39, 75, 111, 10, 46, 82, 118, 20, 56, 92, 128, 11, 47, 83, 119)(6, 42, 78, 114, 14, 50, 86, 122, 24, 60, 96, 132, 15, 51, 87, 123)(9, 45, 81, 117, 18, 54, 90, 126, 28, 64, 100, 136, 19, 55, 91, 127)(13, 49, 85, 121, 22, 58, 94, 130, 32, 68, 104, 140, 23, 59, 95, 131)(17, 53, 89, 125, 26, 62, 98, 134, 36, 72, 108, 144, 27, 63, 99, 135)(21, 57, 93, 129, 30, 66, 102, 138, 33, 69, 105, 141, 31, 67, 103, 139)(25, 61, 97, 133, 34, 70, 106, 142, 29, 65, 101, 137, 35, 71, 107, 143)
	L = (1, 38)(2, 42)(3, 37)(4, 46)(5, 47)(6, 49)(7, 40)(8, 41)(9, 39)(10, 54)(11, 55)(12, 52)(13, 57)(14, 43)(15, 44)(16, 60)(17, 45)(18, 62)(19, 63)(20, 48)(21, 65)(22, 50)(23, 51)(24, 68)(25, 53)(26, 70)(27, 71)(28, 56)(29, 72)(30, 58)(31, 59)(32, 69)(33, 61)(34, 67)(35, 66)(36, 64)(73, 111)(74, 109)(75, 117)(76, 115)(77, 116)(78, 110)(79, 122)(80, 123)(81, 125)(82, 112)(83, 113)(84, 128)(85, 114)(86, 130)(87, 131)(88, 120)(89, 133)(90, 118)(91, 119)(92, 136)(93, 121)(94, 138)(95, 139)(96, 124)(97, 141)(98, 126)(99, 127)(100, 144)(101, 129)(102, 143)(103, 142)(104, 132)(105, 140)(106, 134)(107, 135)(108, 137)
	local type(s) :: { ( 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18 ) }
Outer automorphisms :: reflexible
Dual of E26.315
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 13
	degree seq :: [ 16^9 ]

E26.320 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 18, 18})
Quotient :: dipole
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = (C18 x C2) : C2 (small group id <72, 8>)
|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 * Y1 * Y2 * Y1^-1, (R * Y1)^2, Y1^4, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^4, Y2^-4 * Y1^2 * Y2^-5, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 4, 40)(3, 39, 8, 44, 13, 49, 10, 46)(5, 41, 7, 43, 14, 50, 11, 47)(9, 45, 16, 52, 21, 57, 18, 54)(12, 48, 15, 51, 22, 58, 19, 55)(17, 53, 24, 60, 29, 65, 26, 62)(20, 56, 23, 59, 30, 66, 27, 63)(25, 61, 32, 68, 36, 72, 34, 70)(28, 64, 31, 67, 33, 69, 35, 71)(73, 109, 75, 111, 81, 117, 89, 125, 97, 133, 105, 141, 102, 138, 94, 130, 86, 122, 78, 114, 85, 121, 93, 129, 101, 137, 108, 144, 100, 136, 92, 128, 84, 120, 77, 113)(74, 110, 79, 115, 87, 123, 95, 131, 103, 139, 106, 142, 98, 134, 90, 126, 82, 118, 76, 112, 83, 119, 91, 127, 99, 135, 107, 143, 104, 140, 96, 132, 88, 124, 80, 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) :: { ( 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 selfdual
Graph:: bipartite
	v = 11 e = 72 f = 11
	degree seq :: [ 8^9, 36^2 ]

E26.321 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 18, 18})
Quotient :: dipole
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = (C18 x C2) : C2 (small group id <72, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y3, Y2^-1), Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, Y2 * Y1^-1 * Y2 * Y1, Y1^4, (R * Y1)^2, (R * Y2)^2, Y2 * Y1^-1 * Y3 * Y2 * Y1 * Y3, Y2^2 * Y3^-1 * Y2 * Y1^-2, Y2^18, Y1^-2 * 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 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 11, 47, 23, 59, 15, 51)(4, 40, 12, 48, 24, 60, 17, 53)(6, 42, 9, 45, 25, 61, 19, 55)(7, 43, 10, 46, 26, 62, 20, 56)(13, 49, 31, 67, 18, 54, 29, 65)(14, 50, 32, 68, 36, 72, 34, 70)(16, 52, 30, 66, 21, 57, 27, 63)(22, 58, 28, 64, 33, 69, 35, 71)(73, 109, 75, 111, 85, 121, 96, 132, 108, 144, 94, 130, 79, 115, 88, 124, 97, 133, 80, 116, 95, 131, 90, 126, 76, 112, 86, 122, 105, 141, 98, 134, 93, 129, 78, 114)(74, 110, 81, 117, 99, 135, 92, 128, 107, 143, 104, 140, 84, 120, 101, 137, 87, 123, 77, 113, 91, 127, 102, 138, 82, 118, 100, 136, 106, 142, 89, 125, 103, 139, 83, 119)
	L = (1, 76)(2, 82)(3, 86)(4, 79)(5, 92)(6, 90)(7, 73)(8, 96)(9, 100)(10, 84)(11, 102)(12, 74)(13, 105)(14, 88)(15, 99)(16, 75)(17, 77)(18, 94)(19, 107)(20, 89)(21, 95)(22, 78)(23, 108)(24, 98)(25, 85)(26, 80)(27, 106)(28, 101)(29, 81)(30, 104)(31, 91)(32, 83)(33, 97)(34, 87)(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) :: { ( 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 E26.322
Graph:: bipartite
	v = 11 e = 72 f = 11
	degree seq :: [ 8^9, 36^2 ]

E26.322 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 18, 18})
Quotient :: dipole
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = (C18 x C2) : C2 (small group id <72, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y2, Y3^-1), (R * Y1)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1, Y3 * Y1^-1 * Y3 * Y1, (R * Y2)^2, (R * Y3)^2, Y1^4, Y2^-1 * Y1 * Y2 * Y3 * Y1 * Y2^-1, Y2^2 * Y1 * Y3^-1 * Y2^-1 * Y1, Y1^-2 * Y2 * Y3^-1 * Y2^2 * Y3^-1, Y2^18 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 11, 47, 23, 59, 15, 51)(4, 40, 12, 48, 24, 60, 17, 53)(6, 42, 9, 45, 25, 61, 19, 55)(7, 43, 10, 46, 26, 62, 20, 56)(13, 49, 31, 67, 22, 58, 28, 64)(14, 50, 32, 68, 21, 57, 27, 63)(16, 52, 30, 66, 36, 72, 34, 70)(18, 54, 29, 65, 33, 69, 35, 71)(73, 109, 75, 111, 85, 121, 98, 134, 108, 144, 90, 126, 76, 112, 86, 122, 97, 133, 80, 116, 95, 131, 94, 130, 79, 115, 88, 124, 105, 141, 96, 132, 93, 129, 78, 114)(74, 110, 81, 117, 99, 135, 89, 125, 107, 143, 102, 138, 82, 118, 100, 136, 87, 123, 77, 113, 91, 127, 104, 140, 84, 120, 101, 137, 106, 142, 92, 128, 103, 139, 83, 119)
	L = (1, 76)(2, 82)(3, 86)(4, 79)(5, 92)(6, 90)(7, 73)(8, 96)(9, 100)(10, 84)(11, 102)(12, 74)(13, 97)(14, 88)(15, 106)(16, 75)(17, 77)(18, 94)(19, 103)(20, 89)(21, 108)(22, 78)(23, 93)(24, 98)(25, 105)(26, 80)(27, 87)(28, 101)(29, 81)(30, 104)(31, 107)(32, 83)(33, 85)(34, 99)(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) :: { ( 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 E26.321
Graph:: bipartite
	v = 11 e = 72 f = 11
	degree seq :: [ 8^9, 36^2 ]

E26.323 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 18, 18})
Quotient :: dipole
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = (C18 x C2) : C2 (small group id <72, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^2, Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y3 * Y1^-1, (Y2^-1 * Y3^-1)^2, (R * Y2)^2, (R * Y1)^2, Y3^-2 * Y2^-2, Y1^4, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1, Y3^-2 * Y2^4 * Y3^-3, (Y3 * Y2^-1)^18 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 11, 47, 7, 43, 10, 46)(4, 40, 12, 48, 6, 42, 9, 45)(13, 49, 19, 55, 14, 50, 20, 56)(15, 51, 17, 53, 16, 52, 18, 54)(21, 57, 28, 64, 22, 58, 27, 63)(23, 59, 26, 62, 24, 60, 25, 61)(29, 65, 35, 71, 30, 66, 36, 72)(31, 67, 33, 69, 32, 68, 34, 70)(73, 109, 75, 111, 85, 121, 93, 129, 101, 137, 104, 140, 95, 131, 88, 124, 76, 112, 80, 116, 79, 115, 86, 122, 94, 130, 102, 138, 103, 139, 96, 132, 87, 123, 78, 114)(74, 110, 81, 117, 89, 125, 97, 133, 105, 141, 108, 144, 99, 135, 92, 128, 82, 118, 77, 113, 84, 120, 90, 126, 98, 134, 106, 142, 107, 143, 100, 136, 91, 127, 83, 119)
	L = (1, 76)(2, 82)(3, 80)(4, 87)(5, 83)(6, 88)(7, 73)(8, 78)(9, 77)(10, 91)(11, 92)(12, 74)(13, 79)(14, 75)(15, 95)(16, 96)(17, 84)(18, 81)(19, 99)(20, 100)(21, 86)(22, 85)(23, 103)(24, 104)(25, 90)(26, 89)(27, 107)(28, 108)(29, 94)(30, 93)(31, 101)(32, 102)(33, 98)(34, 97)(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) :: { ( 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 E26.325
Graph:: bipartite
	v = 11 e = 72 f = 11
	degree seq :: [ 8^9, 36^2 ]

E26.324 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 18, 18})
Quotient :: dipole
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = (C18 x C2) : C2 (small group id <72, 8>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-2, Y1 * Y2^-1 * Y1^-1 * Y2^-1, Y2 * Y1 * Y2 * Y1^-1, Y1^4, Y2 * Y1^-1 * Y2 * Y1, (R * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y3^-1 * Y1 * Y3^-1, Y1^-2 * Y2^-1 * Y1^-2 * Y2, Y1^-1 * Y2 * Y1^-1 * Y3^-4, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 11, 47, 21, 57, 14, 50)(4, 40, 12, 48, 22, 58, 16, 52)(6, 42, 9, 45, 23, 59, 17, 53)(7, 43, 10, 46, 24, 60, 18, 54)(13, 49, 27, 63, 36, 72, 30, 66)(15, 51, 28, 64, 35, 71, 32, 68)(19, 55, 25, 61, 31, 67, 33, 69)(20, 56, 26, 62, 29, 65, 34, 70)(73, 109, 75, 111, 76, 112, 85, 121, 87, 123, 101, 137, 103, 139, 96, 132, 95, 131, 80, 116, 93, 129, 94, 130, 108, 144, 107, 143, 92, 128, 91, 127, 79, 115, 78, 114)(74, 110, 81, 117, 82, 118, 97, 133, 98, 134, 104, 140, 102, 138, 88, 124, 86, 122, 77, 113, 89, 125, 90, 126, 105, 141, 106, 142, 100, 136, 99, 135, 84, 120, 83, 119)
	L = (1, 76)(2, 82)(3, 85)(4, 87)(5, 90)(6, 75)(7, 73)(8, 94)(9, 97)(10, 98)(11, 81)(12, 74)(13, 101)(14, 89)(15, 103)(16, 77)(17, 105)(18, 106)(19, 78)(20, 79)(21, 108)(22, 107)(23, 93)(24, 80)(25, 104)(26, 102)(27, 83)(28, 84)(29, 96)(30, 86)(31, 95)(32, 88)(33, 100)(34, 99)(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, 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 selfdual
Graph:: bipartite
	v = 11 e = 72 f = 11
	degree seq :: [ 8^9, 36^2 ]

E26.325 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 18, 18})
Quotient :: dipole
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = (C18 x C2) : C2 (small group id <72, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1, (Y3, Y2^-1), Y1 * Y3^-1 * Y1^-1 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^4, Y3 * Y2^-1 * Y1 * Y3^-1 * Y1, Y1 * Y2^-1 * Y3^2 * Y1, Y2 * Y3 * Y2^3, (Y2^-1 * Y3)^18 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 11, 47, 17, 53, 15, 51)(4, 40, 12, 48, 16, 52, 18, 54)(6, 42, 9, 45, 24, 60, 20, 56)(7, 43, 10, 46, 19, 55, 21, 57)(13, 49, 27, 63, 31, 67, 29, 65)(14, 50, 28, 64, 30, 66, 32, 68)(22, 58, 25, 61, 36, 72, 34, 70)(23, 59, 26, 62, 33, 69, 35, 71)(73, 109, 75, 111, 85, 121, 95, 131, 79, 115, 88, 124, 102, 138, 108, 144, 96, 132, 80, 116, 89, 125, 103, 139, 105, 141, 91, 127, 76, 112, 86, 122, 94, 130, 78, 114)(74, 110, 81, 117, 97, 133, 100, 136, 84, 120, 93, 129, 107, 143, 101, 137, 87, 123, 77, 113, 92, 128, 106, 142, 104, 140, 90, 126, 82, 118, 98, 134, 99, 135, 83, 119)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 93)(6, 91)(7, 73)(8, 88)(9, 98)(10, 92)(11, 90)(12, 74)(13, 94)(14, 103)(15, 84)(16, 75)(17, 102)(18, 77)(19, 80)(20, 107)(21, 81)(22, 105)(23, 78)(24, 79)(25, 99)(26, 106)(27, 104)(28, 83)(29, 100)(30, 85)(31, 108)(32, 87)(33, 96)(34, 101)(35, 97)(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, 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 E26.323
Graph:: bipartite
	v = 11 e = 72 f = 11
	degree seq :: [ 8^9, 36^2 ]

E26.326 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 18, 18})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 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, R^2, Y1^4, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y1^4, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^4, Y2^-9 * Y1^2, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 4, 40)(3, 39, 7, 43, 13, 49, 10, 46)(5, 41, 8, 44, 14, 50, 11, 47)(9, 45, 15, 51, 21, 57, 18, 54)(12, 48, 16, 52, 22, 58, 19, 55)(17, 53, 23, 59, 29, 65, 26, 62)(20, 56, 24, 60, 30, 66, 27, 63)(25, 61, 31, 67, 36, 72, 34, 70)(28, 64, 32, 68, 33, 69, 35, 71)(73, 109, 75, 111, 81, 117, 89, 125, 97, 133, 105, 141, 102, 138, 94, 130, 86, 122, 78, 114, 85, 121, 93, 129, 101, 137, 108, 144, 100, 136, 92, 128, 84, 120, 77, 113)(74, 110, 79, 115, 87, 123, 95, 131, 103, 139, 107, 143, 99, 135, 91, 127, 83, 119, 76, 112, 82, 118, 90, 126, 98, 134, 106, 142, 104, 140, 96, 132, 88, 124, 80, 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) :: { ( 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 selfdual
Graph:: bipartite
	v = 11 e = 72 f = 11
	degree seq :: [ 8^9, 36^2 ]

E26.327 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 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, Y2 * Y1 * Y2, Y1^3, (Y2 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y2^-1), (R * Y2)^2, (Y3, Y1^-1), Y3^6 * Y1, Y3 * Y2^-1 * Y1 * Y3^-2 * Y1 * Y2^-1 * Y3, 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^-2, (Y2^-1 * Y3)^18 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 6, 42, 9, 45)(4, 40, 8, 44, 14, 50)(7, 43, 10, 46, 16, 52)(11, 47, 15, 51, 20, 56)(12, 48, 17, 53, 21, 57)(13, 49, 19, 55, 26, 62)(18, 54, 22, 58, 28, 64)(23, 59, 27, 63, 31, 67)(24, 60, 29, 65, 32, 68)(25, 61, 30, 66, 33, 69)(34, 70, 35, 71, 36, 72)(73, 109, 75, 111, 77, 113, 81, 117, 74, 110, 78, 114)(76, 112, 83, 119, 86, 122, 92, 128, 80, 116, 87, 123)(79, 115, 84, 120, 88, 124, 93, 129, 82, 118, 89, 125)(85, 121, 95, 131, 98, 134, 103, 139, 91, 127, 99, 135)(90, 126, 96, 132, 100, 136, 104, 140, 94, 130, 101, 137)(97, 133, 106, 142, 105, 141, 108, 144, 102, 138, 107, 143)
	L = (1, 76)(2, 80)(3, 83)(4, 85)(5, 86)(6, 87)(7, 73)(8, 91)(9, 92)(10, 74)(11, 95)(12, 75)(13, 97)(14, 98)(15, 99)(16, 77)(17, 78)(18, 79)(19, 102)(20, 103)(21, 81)(22, 82)(23, 106)(24, 84)(25, 100)(26, 105)(27, 107)(28, 88)(29, 89)(30, 90)(31, 108)(32, 93)(33, 94)(34, 104)(35, 96)(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) :: { ( 36^6 ), ( 36^12 ) }
Outer automorphisms :: reflexible
Dual of E26.338
Graph:: bipartite
	v = 18 e = 72 f = 4
	degree seq :: [ 6^12, 12^6 ]

E26.328 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 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^-1 * Y2^2, Y1^3, (Y3^-1, Y1^-1), (R * Y2)^2, (Y1 * Y2)^2, (Y3^-1, Y2), (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y3^-2 * Y2^-1 * Y3, Y3^-6 * Y1, Y3 * Y1 * Y2 * Y3^-2 * Y2 * Y1 * Y3, (Y1^-1 * Y3^-1)^18, (Y2^-1 * Y3)^18 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 6, 42)(4, 40, 9, 45, 14, 50)(7, 43, 10, 46, 16, 52)(11, 47, 19, 55, 15, 51)(12, 48, 20, 56, 17, 53)(13, 49, 21, 57, 26, 62)(18, 54, 22, 58, 28, 64)(23, 59, 31, 67, 27, 63)(24, 60, 32, 68, 29, 65)(25, 61, 33, 69, 30, 66)(34, 70, 36, 72, 35, 71)(73, 109, 75, 111, 74, 110, 80, 116, 77, 113, 78, 114)(76, 112, 83, 119, 81, 117, 91, 127, 86, 122, 87, 123)(79, 115, 84, 120, 82, 118, 92, 128, 88, 124, 89, 125)(85, 121, 95, 131, 93, 129, 103, 139, 98, 134, 99, 135)(90, 126, 96, 132, 94, 130, 104, 140, 100, 136, 101, 137)(97, 133, 106, 142, 105, 141, 108, 144, 102, 138, 107, 143)
	L = (1, 76)(2, 81)(3, 83)(4, 85)(5, 86)(6, 87)(7, 73)(8, 91)(9, 93)(10, 74)(11, 95)(12, 75)(13, 97)(14, 98)(15, 99)(16, 77)(17, 78)(18, 79)(19, 103)(20, 80)(21, 105)(22, 82)(23, 106)(24, 84)(25, 94)(26, 102)(27, 107)(28, 88)(29, 89)(30, 90)(31, 108)(32, 92)(33, 100)(34, 104)(35, 96)(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) :: { ( 36^6 ), ( 36^12 ) }
Outer automorphisms :: reflexible
Dual of E26.337
Graph:: bipartite
	v = 18 e = 72 f = 4
	degree seq :: [ 6^12, 12^6 ]

E26.329 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 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 :: [ Y3^2, R^2, Y3 * Y1^-3, Y3 * Y1 * Y3 * Y1^-1, (R * Y2)^2, (Y2, Y1), (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2 * Y3, Y2^-6 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 4, 40, 9, 45, 5, 41)(3, 39, 8, 44, 17, 53, 12, 48, 20, 56, 13, 49)(6, 42, 10, 46, 18, 54, 14, 50, 21, 57, 15, 51)(11, 47, 19, 55, 29, 65, 24, 60, 32, 68, 25, 61)(16, 52, 22, 58, 30, 66, 26, 62, 33, 69, 27, 63)(23, 59, 31, 67, 36, 72, 35, 71, 28, 64, 34, 70)(73, 109, 75, 111, 83, 119, 95, 131, 102, 138, 90, 126, 79, 115, 89, 125, 101, 137, 108, 144, 105, 141, 93, 129, 81, 117, 92, 128, 104, 140, 100, 136, 88, 124, 78, 114)(74, 110, 80, 116, 91, 127, 103, 139, 98, 134, 86, 122, 76, 112, 84, 120, 96, 132, 107, 143, 99, 135, 87, 123, 77, 113, 85, 121, 97, 133, 106, 142, 94, 130, 82, 118)
	L = (1, 76)(2, 81)(3, 84)(4, 73)(5, 79)(6, 86)(7, 77)(8, 92)(9, 74)(10, 93)(11, 96)(12, 75)(13, 89)(14, 78)(15, 90)(16, 98)(17, 85)(18, 87)(19, 104)(20, 80)(21, 82)(22, 105)(23, 107)(24, 83)(25, 101)(26, 88)(27, 102)(28, 103)(29, 97)(30, 99)(31, 100)(32, 91)(33, 94)(34, 108)(35, 95)(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) :: { ( 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 E26.333
Graph:: bipartite
	v = 8 e = 72 f = 14
	degree seq :: [ 12^6, 36^2 ]

E26.330 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 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 :: [ Y3^2, R^2, Y1^-2 * Y3 * Y1^-1, (Y1, Y2), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, Y1^-1 * Y2^-1 * Y1^-1 * Y3 * Y2 * Y1^-1, Y2^-2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 4, 40, 9, 45, 5, 41)(3, 39, 8, 44, 17, 53, 12, 48, 20, 56, 13, 49)(6, 42, 10, 46, 18, 54, 14, 50, 21, 57, 15, 51)(11, 47, 19, 55, 29, 65, 24, 60, 32, 68, 25, 61)(16, 52, 22, 58, 30, 66, 26, 62, 33, 69, 27, 63)(23, 59, 31, 67, 28, 64, 34, 70, 36, 72, 35, 71)(73, 109, 75, 111, 83, 119, 95, 131, 105, 141, 93, 129, 81, 117, 92, 128, 104, 140, 108, 144, 102, 138, 90, 126, 79, 115, 89, 125, 101, 137, 100, 136, 88, 124, 78, 114)(74, 110, 80, 116, 91, 127, 103, 139, 99, 135, 87, 123, 77, 113, 85, 121, 97, 133, 107, 143, 98, 134, 86, 122, 76, 112, 84, 120, 96, 132, 106, 142, 94, 130, 82, 118)
	L = (1, 76)(2, 81)(3, 84)(4, 73)(5, 79)(6, 86)(7, 77)(8, 92)(9, 74)(10, 93)(11, 96)(12, 75)(13, 89)(14, 78)(15, 90)(16, 98)(17, 85)(18, 87)(19, 104)(20, 80)(21, 82)(22, 105)(23, 106)(24, 83)(25, 101)(26, 88)(27, 102)(28, 107)(29, 97)(30, 99)(31, 108)(32, 91)(33, 94)(34, 95)(35, 100)(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) :: { ( 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 E26.334
Graph:: bipartite
	v = 8 e = 72 f = 14
	degree seq :: [ 12^6, 36^2 ]

E26.331 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 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 * Y3^-1, Y2^-1 * Y1 * Y2 * Y3^-1, (R * Y3)^2, Y2 * Y1^-1 * Y2^-1 * Y3, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^6, (Y3^-1 * Y1^-1)^3, Y2^4 * Y1^-1 * Y2^2 * Y1^-1, Y3 * 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 * Y1^-1 * Y2^2 ]
Map:: non-degenerate
	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, 34, 70, 31, 67, 20, 56)(13, 49, 18, 54, 28, 64, 35, 71, 32, 68, 23, 59)(19, 55, 29, 65, 36, 72, 33, 69, 24, 60, 30, 66)(73, 109, 75, 111, 81, 117, 91, 127, 100, 136, 88, 124, 78, 114, 87, 123, 99, 135, 108, 144, 104, 140, 94, 130, 83, 119, 93, 129, 103, 139, 96, 132, 85, 121, 77, 113)(74, 110, 79, 115, 89, 125, 101, 137, 107, 143, 98, 134, 86, 122, 97, 133, 106, 142, 105, 141, 95, 131, 84, 120, 76, 112, 82, 118, 92, 128, 102, 138, 90, 126, 80, 116)
	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, 106)(28, 107)(29, 108)(30, 91)(31, 92)(32, 95)(33, 96)(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) :: { ( 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 E26.336
Graph:: bipartite
	v = 8 e = 72 f = 14
	degree seq :: [ 12^6, 36^2 ]

E26.332 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 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 * Y1, (Y1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y1^6, Y1^-2 * Y2^-6, (Y3 * Y2^-1)^18 ]
Map:: non-degenerate
	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, 34, 70, 33, 69, 20, 56)(13, 49, 18, 54, 28, 64, 35, 71, 31, 67, 23, 59)(19, 55, 29, 65, 24, 60, 30, 66, 36, 72, 32, 68)(73, 109, 75, 111, 81, 117, 91, 127, 103, 139, 94, 130, 83, 119, 93, 129, 105, 141, 108, 144, 100, 136, 88, 124, 78, 114, 87, 123, 99, 135, 96, 132, 85, 121, 77, 113)(74, 110, 79, 115, 89, 125, 101, 137, 95, 131, 84, 120, 76, 112, 82, 118, 92, 128, 104, 140, 107, 143, 98, 134, 86, 122, 97, 133, 106, 142, 102, 138, 90, 126, 80, 116)
	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, 106)(28, 107)(29, 96)(30, 108)(31, 95)(32, 91)(33, 92)(34, 105)(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) :: { ( 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 E26.335
Graph:: bipartite
	v = 8 e = 72 f = 14
	degree seq :: [ 12^6, 36^2 ]

E26.333 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 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, Y3^2, Y2^3, Y1^-1 * Y3 * Y1 * Y3, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y1^-1), Y2 * Y1^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 17, 53, 28, 64, 16, 52, 6, 42, 10, 46, 20, 56, 30, 66, 24, 60, 12, 48, 3, 39, 8, 44, 18, 54, 27, 63, 15, 51, 5, 41)(4, 40, 9, 45, 19, 55, 29, 65, 35, 71, 26, 62, 14, 50, 22, 58, 32, 68, 36, 72, 33, 69, 23, 59, 11, 47, 21, 57, 31, 67, 34, 70, 25, 61, 13, 49)(73, 109, 75, 111, 78, 114)(74, 110, 80, 116, 82, 118)(76, 112, 83, 119, 86, 122)(77, 113, 84, 120, 88, 124)(79, 115, 90, 126, 92, 128)(81, 117, 93, 129, 94, 130)(85, 121, 95, 131, 98, 134)(87, 123, 96, 132, 100, 136)(89, 125, 99, 135, 102, 138)(91, 127, 103, 139, 104, 140)(97, 133, 105, 141, 107, 143)(101, 137, 106, 142, 108, 144)
	L = (1, 76)(2, 81)(3, 83)(4, 73)(5, 85)(6, 86)(7, 91)(8, 93)(9, 74)(10, 94)(11, 75)(12, 95)(13, 77)(14, 78)(15, 97)(16, 98)(17, 101)(18, 103)(19, 79)(20, 104)(21, 80)(22, 82)(23, 84)(24, 105)(25, 87)(26, 88)(27, 106)(28, 107)(29, 89)(30, 108)(31, 90)(32, 92)(33, 96)(34, 99)(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, 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 E26.329
Graph:: bipartite
	v = 14 e = 72 f = 8
	degree seq :: [ 6^12, 36^2 ]

E26.334 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 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, Y3^2, Y2^3, Y1^-1 * Y3 * Y1 * Y3, (R * Y2)^2, (Y2^-1, Y1^-1), Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 17, 53, 24, 60, 12, 48, 3, 39, 8, 44, 18, 54, 29, 65, 28, 64, 16, 52, 6, 42, 10, 46, 20, 56, 27, 63, 15, 51, 5, 41)(4, 40, 9, 45, 19, 55, 30, 66, 33, 69, 23, 59, 11, 47, 21, 57, 31, 67, 36, 72, 35, 71, 26, 62, 14, 50, 22, 58, 32, 68, 34, 70, 25, 61, 13, 49)(73, 109, 75, 111, 78, 114)(74, 110, 80, 116, 82, 118)(76, 112, 83, 119, 86, 122)(77, 113, 84, 120, 88, 124)(79, 115, 90, 126, 92, 128)(81, 117, 93, 129, 94, 130)(85, 121, 95, 131, 98, 134)(87, 123, 96, 132, 100, 136)(89, 125, 101, 137, 99, 135)(91, 127, 103, 139, 104, 140)(97, 133, 105, 141, 107, 143)(102, 138, 108, 144, 106, 142)
	L = (1, 76)(2, 81)(3, 83)(4, 73)(5, 85)(6, 86)(7, 91)(8, 93)(9, 74)(10, 94)(11, 75)(12, 95)(13, 77)(14, 78)(15, 97)(16, 98)(17, 102)(18, 103)(19, 79)(20, 104)(21, 80)(22, 82)(23, 84)(24, 105)(25, 87)(26, 88)(27, 106)(28, 107)(29, 108)(30, 89)(31, 90)(32, 92)(33, 96)(34, 99)(35, 100)(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, 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 E26.330
Graph:: bipartite
	v = 14 e = 72 f = 8
	degree seq :: [ 6^12, 36^2 ]

E26.335 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 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, Y2^3, Y2 * Y3^-2, (Y3, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1, Y2^-1), Y1^-6 * Y2^-1, (Y1^-1 * Y3^-1)^18 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 19, 55, 29, 65, 17, 53, 6, 42, 11, 47, 22, 58, 32, 68, 26, 62, 14, 50, 3, 39, 9, 45, 20, 56, 28, 64, 16, 52, 5, 41)(4, 40, 10, 46, 21, 57, 31, 67, 30, 66, 18, 54, 7, 43, 12, 48, 23, 59, 33, 69, 35, 71, 25, 61, 13, 49, 24, 60, 34, 70, 36, 72, 27, 63, 15, 51)(73, 109, 75, 111, 78, 114)(74, 110, 81, 117, 83, 119)(76, 112, 85, 121, 79, 115)(77, 113, 86, 122, 89, 125)(80, 116, 92, 128, 94, 130)(82, 118, 96, 132, 84, 120)(87, 123, 97, 133, 90, 126)(88, 124, 98, 134, 101, 137)(91, 127, 100, 136, 104, 140)(93, 129, 106, 142, 95, 131)(99, 135, 107, 143, 102, 138)(103, 139, 108, 144, 105, 141)
	L = (1, 76)(2, 82)(3, 85)(4, 75)(5, 87)(6, 79)(7, 73)(8, 93)(9, 96)(10, 81)(11, 84)(12, 74)(13, 78)(14, 97)(15, 86)(16, 99)(17, 90)(18, 77)(19, 103)(20, 106)(21, 92)(22, 95)(23, 80)(24, 83)(25, 89)(26, 107)(27, 98)(28, 108)(29, 102)(30, 88)(31, 100)(32, 105)(33, 91)(34, 94)(35, 101)(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, 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 E26.332
Graph:: bipartite
	v = 14 e = 72 f = 8
	degree seq :: [ 6^12, 36^2 ]

E26.336 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 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, Y2^3, Y2 * Y3^-2, (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (R * Y3)^2, (Y3 * Y2)^2, (Y3^-1, Y1), Y2^-1 * Y1^6, (Y1^-3 * Y3)^2, 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 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 19, 55, 26, 62, 14, 50, 3, 39, 9, 45, 20, 56, 31, 67, 29, 65, 17, 53, 6, 42, 11, 47, 22, 58, 28, 64, 16, 52, 5, 41)(4, 40, 10, 46, 21, 57, 32, 68, 35, 71, 25, 61, 13, 49, 24, 60, 34, 70, 36, 72, 30, 66, 18, 54, 7, 43, 12, 48, 23, 59, 33, 69, 27, 63, 15, 51)(73, 109, 75, 111, 78, 114)(74, 110, 81, 117, 83, 119)(76, 112, 85, 121, 79, 115)(77, 113, 86, 122, 89, 125)(80, 116, 92, 128, 94, 130)(82, 118, 96, 132, 84, 120)(87, 123, 97, 133, 90, 126)(88, 124, 98, 134, 101, 137)(91, 127, 103, 139, 100, 136)(93, 129, 106, 142, 95, 131)(99, 135, 107, 143, 102, 138)(104, 140, 108, 144, 105, 141)
	L = (1, 76)(2, 82)(3, 85)(4, 75)(5, 87)(6, 79)(7, 73)(8, 93)(9, 96)(10, 81)(11, 84)(12, 74)(13, 78)(14, 97)(15, 86)(16, 99)(17, 90)(18, 77)(19, 104)(20, 106)(21, 92)(22, 95)(23, 80)(24, 83)(25, 89)(26, 107)(27, 98)(28, 105)(29, 102)(30, 88)(31, 108)(32, 103)(33, 91)(34, 94)(35, 101)(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, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36 ) }
Outer automorphisms :: reflexible
Dual of E26.331
Graph:: bipartite
	v = 14 e = 72 f = 8
	degree seq :: [ 6^12, 36^2 ]

E26.337 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 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, Y2), (Y2 * Y1)^2, (Y2^-1, Y1^-1), (R * Y2)^2, (R * Y1)^2, Y2^2 * Y1^2, (R * Y3)^2, (Y3, Y1), Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, Y1^-3 * Y3 * Y2 * Y1^-1, Y3 * Y1^-1 * Y3^3 * Y1^-1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1, Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-2, Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y3^-2, (Y1^-1 * Y3^-1)^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 23, 59, 14, 50, 27, 63, 19, 55, 30, 66, 22, 58, 32, 68, 17, 53, 29, 65, 16, 52, 28, 64, 21, 57, 31, 67, 13, 49, 5, 41)(3, 39, 9, 45, 6, 42, 11, 47, 25, 61, 18, 54, 4, 40, 10, 46, 24, 60, 35, 71, 34, 70, 36, 72, 33, 69, 20, 56, 7, 43, 12, 48, 26, 62, 15, 51)(73, 109, 75, 111, 85, 121, 98, 134, 93, 129, 79, 115, 88, 124, 105, 141, 89, 125, 106, 142, 94, 130, 96, 132, 91, 127, 76, 112, 86, 122, 97, 133, 80, 116, 78, 114)(74, 110, 81, 117, 77, 113, 87, 123, 103, 139, 84, 120, 100, 136, 92, 128, 101, 137, 108, 144, 104, 140, 107, 143, 102, 138, 82, 118, 99, 135, 90, 126, 95, 131, 83, 119)
	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, 97)(14, 106)(15, 95)(16, 75)(17, 98)(18, 104)(19, 105)(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, 100)(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) :: { ( 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 E26.328
Graph:: bipartite
	v = 4 e = 72 f = 18
	degree seq :: [ 36^4 ]

E26.338 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 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, Y2^-1), Y2 * Y1 * Y3 * Y1, (Y1, Y3^-1), Y2 * Y3 * Y1^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, Y3^2 * Y2 * Y3 * Y2 * Y3, Y1^4 * Y3^-2, Y2 * Y3^-2 * Y2 * Y3^-1 * Y2, (Y2^2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 22, 58, 17, 53, 27, 63, 19, 55, 28, 64, 20, 56, 29, 65, 13, 49, 25, 61, 16, 52, 26, 62, 21, 57, 30, 66, 14, 50, 5, 41)(3, 39, 9, 45, 7, 43, 12, 48, 24, 60, 18, 54, 4, 40, 10, 46, 6, 42, 11, 47, 23, 59, 34, 70, 32, 68, 35, 71, 33, 69, 36, 72, 31, 67, 15, 51)(73, 109, 75, 111, 85, 121, 95, 131, 80, 116, 79, 115, 88, 124, 104, 140, 89, 125, 96, 132, 93, 129, 105, 141, 91, 127, 76, 112, 86, 122, 103, 139, 92, 128, 78, 114)(74, 110, 81, 117, 97, 133, 106, 142, 94, 130, 84, 120, 98, 134, 107, 143, 99, 135, 90, 126, 102, 138, 108, 144, 100, 136, 82, 118, 77, 113, 87, 123, 101, 137, 83, 119)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 90)(6, 91)(7, 73)(8, 78)(9, 77)(10, 99)(11, 100)(12, 74)(13, 103)(14, 96)(15, 102)(16, 75)(17, 95)(18, 94)(19, 104)(20, 105)(21, 79)(22, 83)(23, 92)(24, 80)(25, 87)(26, 81)(27, 106)(28, 107)(29, 108)(30, 84)(31, 93)(32, 85)(33, 88)(34, 101)(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, 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 E26.327
Graph:: bipartite
	v = 4 e = 72 f = 18
	degree seq :: [ 36^4 ]

E26.339 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 18, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2^-1, Y3^-1), Y2 * Y1 * Y2^-1 * Y1, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y1, Y2 * Y3^4 * Y1, Y2 * Y3 * Y2 * Y3 * Y2^3, Y2^2 * Y1 * Y3^-1 * Y2^2 * Y3^-1, Y2 * Y1 * Y3^-1 * Y2^-1 * Y3^-2 * Y2^-1 * 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 * Y2^-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 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 7, 43)(4, 40, 8, 44)(5, 41, 9, 45)(6, 42, 10, 46)(11, 47, 19, 55)(12, 48, 20, 56)(13, 49, 21, 57)(14, 50, 22, 58)(15, 51, 23, 59)(16, 52, 24, 60)(17, 53, 25, 61)(18, 54, 26, 62)(27, 63, 31, 67)(28, 64, 35, 71)(29, 65, 32, 68)(30, 66, 33, 69)(34, 70, 36, 72)(73, 109, 75, 111, 83, 119, 99, 135, 94, 130, 90, 126, 102, 138, 96, 132, 81, 117, 74, 110, 79, 115, 91, 127, 103, 139, 86, 122, 98, 134, 105, 141, 88, 124, 77, 113)(76, 112, 84, 120, 100, 136, 106, 142, 89, 125, 78, 114, 85, 121, 101, 137, 95, 131, 80, 116, 92, 128, 107, 143, 108, 144, 97, 133, 82, 118, 93, 129, 104, 140, 87, 123)
	L = (1, 76)(2, 80)(3, 84)(4, 86)(5, 87)(6, 73)(7, 92)(8, 94)(9, 95)(10, 74)(11, 100)(12, 98)(13, 75)(14, 97)(15, 103)(16, 104)(17, 77)(18, 78)(19, 107)(20, 90)(21, 79)(22, 89)(23, 99)(24, 101)(25, 81)(26, 82)(27, 106)(28, 105)(29, 83)(30, 85)(31, 108)(32, 91)(33, 93)(34, 88)(35, 102)(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) :: { ( 72^4 ), ( 72^36 ) }
Outer automorphisms :: reflexible
Dual of E26.346
Graph:: bipartite
	v = 20 e = 72 f = 2
	degree seq :: [ 4^18, 36^2 ]

E26.340 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 18, 36, 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^-1 * Y3, Y2 * Y3 * Y2 * Y1^-1, (Y2^-1, Y1^-1), (Y2, Y3^-1), Y3 * Y2^2 * Y1^-1, (Y3 * Y1)^2, Y3^-2 * Y1^-2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1^-2 * Y3^7, (Y3^-1 * Y1)^18, 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 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 19, 55, 29, 65, 34, 70, 25, 61, 16, 52, 4, 40, 10, 46, 7, 43, 12, 48, 22, 58, 31, 67, 33, 69, 26, 62, 15, 51, 5, 41)(3, 39, 9, 45, 20, 56, 30, 66, 36, 72, 27, 63, 18, 54, 6, 42, 11, 47, 21, 57, 14, 50, 23, 59, 32, 68, 35, 71, 28, 64, 17, 53, 24, 60, 13, 49)(73, 109, 75, 111, 84, 120, 95, 131, 101, 137, 108, 144, 98, 134, 89, 125, 76, 112, 83, 119, 74, 110, 81, 117, 94, 130, 104, 140, 106, 142, 99, 135, 87, 123, 96, 132, 82, 118, 93, 129, 80, 116, 92, 128, 103, 139, 107, 143, 97, 133, 90, 126, 77, 113, 85, 121, 79, 115, 86, 122, 91, 127, 102, 138, 105, 141, 100, 136, 88, 124, 78, 114)
	L = (1, 76)(2, 82)(3, 83)(4, 87)(5, 88)(6, 89)(7, 73)(8, 79)(9, 93)(10, 77)(11, 96)(12, 74)(13, 78)(14, 75)(15, 97)(16, 98)(17, 99)(18, 100)(19, 84)(20, 86)(21, 85)(22, 80)(23, 81)(24, 90)(25, 105)(26, 106)(27, 107)(28, 108)(29, 94)(30, 95)(31, 91)(32, 92)(33, 101)(34, 103)(35, 102)(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) :: { ( 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72 ), ( 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72 ) }
Outer automorphisms :: reflexible
Dual of E26.345
Graph:: bipartite
	v = 3 e = 72 f = 19
	degree seq :: [ 36^2, 72 ]

E26.341 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 18, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y2, (Y3, Y2), Y1^2 * Y3^2, (Y3 * Y1)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^-2 * Y3^7 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 19, 55, 27, 63, 34, 70, 25, 61, 16, 52, 4, 40, 9, 45, 7, 43, 11, 47, 21, 57, 29, 65, 33, 69, 26, 62, 15, 51, 5, 41)(3, 39, 6, 42, 10, 46, 20, 56, 28, 64, 35, 71, 31, 67, 24, 60, 12, 48, 17, 53, 14, 50, 18, 54, 22, 58, 30, 66, 36, 72, 32, 68, 23, 59, 13, 49)(73, 109, 75, 111, 77, 113, 85, 121, 87, 123, 95, 131, 98, 134, 104, 140, 105, 141, 108, 144, 101, 137, 102, 138, 93, 129, 94, 130, 83, 119, 90, 126, 79, 115, 86, 122, 81, 117, 89, 125, 76, 112, 84, 120, 88, 124, 96, 132, 97, 133, 103, 139, 106, 142, 107, 143, 99, 135, 100, 136, 91, 127, 92, 128, 80, 116, 82, 118, 74, 110, 78, 114)
	L = (1, 76)(2, 81)(3, 84)(4, 87)(5, 88)(6, 89)(7, 73)(8, 79)(9, 77)(10, 86)(11, 74)(12, 95)(13, 96)(14, 75)(15, 97)(16, 98)(17, 85)(18, 78)(19, 83)(20, 90)(21, 80)(22, 82)(23, 103)(24, 104)(25, 105)(26, 106)(27, 93)(28, 94)(29, 91)(30, 92)(31, 108)(32, 107)(33, 99)(34, 101)(35, 102)(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) :: { ( 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72 ), ( 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72 ) }
Outer automorphisms :: reflexible
Dual of E26.344
Graph:: bipartite
	v = 3 e = 72 f = 19
	degree seq :: [ 36^2, 72 ]

E26.342 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 18, 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^-1), (Y3 * Y1)^2, (Y3^-1, Y2^-1), Y1^-1 * Y3^-2 * Y1^-1, (R * Y1)^2, (Y2, Y1), (R * Y2)^2, (R * Y3)^2, Y3 * Y2^4, Y1^3 * Y3^-1 * Y2^2, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-2, Y2^-1 * Y3 * Y2^-1 * Y1^15, Y2^-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 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 23, 59, 33, 69, 13, 49, 27, 63, 18, 54, 4, 40, 10, 46, 7, 43, 12, 48, 26, 62, 21, 57, 31, 67, 34, 70, 17, 53, 5, 41)(3, 39, 9, 45, 24, 60, 19, 55, 30, 66, 22, 58, 32, 68, 36, 72, 14, 50, 28, 64, 16, 52, 29, 65, 20, 56, 6, 42, 11, 47, 25, 61, 35, 71, 15, 51)(73, 109, 75, 111, 85, 121, 94, 130, 79, 115, 88, 124, 106, 142, 97, 133, 80, 116, 96, 132, 90, 126, 108, 144, 98, 134, 92, 128, 77, 113, 87, 123, 105, 141, 102, 138, 82, 118, 100, 136, 103, 139, 83, 119, 74, 110, 81, 117, 99, 135, 104, 140, 84, 120, 101, 137, 89, 125, 107, 143, 95, 131, 91, 127, 76, 112, 86, 122, 93, 129, 78, 114)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 90)(6, 91)(7, 73)(8, 79)(9, 100)(10, 77)(11, 102)(12, 74)(13, 93)(14, 107)(15, 108)(16, 75)(17, 99)(18, 106)(19, 101)(20, 96)(21, 95)(22, 78)(23, 84)(24, 88)(25, 94)(26, 80)(27, 103)(28, 87)(29, 81)(30, 92)(31, 105)(32, 83)(33, 98)(34, 85)(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) :: { ( 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72 ), ( 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72 ) }
Outer automorphisms :: reflexible
Dual of E26.343
Graph:: bipartite
	v = 3 e = 72 f = 19
	degree seq :: [ 36^2, 72 ]

E26.343 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 18, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3, Y1), Y1^-1 * Y2 * Y1 * Y2, Y3 * Y2 * Y3^-1 * Y2, Y2 * Y1^-2 * Y3^2, Y2 * Y1^2 * Y3^-2, Y3 * Y1 * Y3 * Y1 * Y3^-2 * Y1^-2, Y1^2 * Y3^-4 * Y1^2, Y1^-4 * Y3^-5, (Y1^-1 * Y3^-1)^36 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 19, 55, 29, 65, 34, 70, 26, 62, 17, 53, 6, 42, 10, 46, 11, 47, 21, 57, 24, 60, 32, 68, 35, 71, 27, 63, 18, 54, 12, 48, 3, 39, 8, 44, 14, 50, 22, 58, 31, 67, 36, 72, 28, 64, 23, 59, 13, 49, 15, 51, 4, 40, 9, 45, 20, 56, 30, 66, 33, 69, 25, 61, 16, 52, 5, 41)(73, 109, 75, 111)(74, 110, 80, 116)(76, 112, 83, 119)(77, 113, 84, 120)(78, 114, 85, 121)(79, 115, 86, 122)(81, 117, 93, 129)(82, 118, 87, 123)(88, 124, 90, 126)(89, 125, 95, 131)(91, 127, 94, 130)(92, 128, 96, 132)(97, 133, 99, 135)(98, 134, 100, 136)(101, 137, 103, 139)(102, 138, 104, 140)(105, 141, 107, 143)(106, 142, 108, 144)
	L = (1, 76)(2, 81)(3, 83)(4, 86)(5, 87)(6, 73)(7, 92)(8, 93)(9, 94)(10, 74)(11, 79)(12, 82)(13, 75)(14, 96)(15, 80)(16, 85)(17, 77)(18, 78)(19, 102)(20, 103)(21, 91)(22, 104)(23, 84)(24, 101)(25, 95)(26, 88)(27, 89)(28, 90)(29, 105)(30, 108)(31, 107)(32, 106)(33, 100)(34, 97)(35, 98)(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) :: { ( 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, 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, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72 ) }
Outer automorphisms :: reflexible
Dual of E26.342
Graph:: bipartite
	v = 19 e = 72 f = 3
	degree seq :: [ 4^18, 72 ]

E26.344 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 18, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y1 * Y2 * Y1^-1, Y3 * Y1 * Y2 * Y1, (R * Y1)^2, Y3 * Y2 * Y3^-1 * Y2, Y1^-2 * Y3^-1 * Y2, (R * Y3)^2, Y1^-1 * Y2 * Y3^-1 * Y1^-1, (R * Y2)^2, Y3^9, Y2 * Y3^-4 * Y1^2 * Y3^-4, Y3^-1 * Y1^32 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 15, 51, 14, 50, 18, 54, 24, 60, 31, 67, 30, 66, 34, 70, 35, 71, 29, 65, 20, 56, 25, 61, 19, 55, 13, 49, 4, 40, 9, 45, 3, 39, 8, 44, 6, 42, 10, 46, 16, 52, 23, 59, 22, 58, 26, 62, 32, 68, 36, 72, 28, 64, 33, 69, 27, 63, 21, 57, 12, 48, 17, 53, 11, 47, 5, 41)(73, 109, 75, 111)(74, 110, 80, 116)(76, 112, 83, 119)(77, 113, 81, 117)(78, 114, 79, 115)(82, 118, 87, 123)(84, 120, 91, 127)(85, 121, 89, 125)(86, 122, 88, 124)(90, 126, 95, 131)(92, 128, 99, 135)(93, 129, 97, 133)(94, 130, 96, 132)(98, 134, 103, 139)(100, 136, 107, 143)(101, 137, 105, 141)(102, 138, 104, 140)(106, 142, 108, 144)
	L = (1, 76)(2, 81)(3, 83)(4, 84)(5, 85)(6, 73)(7, 75)(8, 77)(9, 89)(10, 74)(11, 91)(12, 92)(13, 93)(14, 78)(15, 80)(16, 79)(17, 97)(18, 82)(19, 99)(20, 100)(21, 101)(22, 86)(23, 87)(24, 88)(25, 105)(26, 90)(27, 107)(28, 102)(29, 108)(30, 94)(31, 95)(32, 96)(33, 106)(34, 98)(35, 104)(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) :: { ( 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, 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, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72 ) }
Outer automorphisms :: reflexible
Dual of E26.341
Graph:: bipartite
	v = 19 e = 72 f = 3
	degree seq :: [ 4^18, 72 ]

E26.345 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 18, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y3)^2, (Y1, Y3^-1), (R * Y1)^2, Y2 * Y3 * Y2 * Y3^-1, (R * Y2)^2, Y1^2 * Y3^-1 * Y1^2, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, Y1 * Y3 * Y1 * Y2 * Y3^3, Y3^2 * Y2 * Y1^-1 * Y3^3 * Y1^-1, Y3^36 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 15, 51, 4, 40, 9, 45, 20, 56, 31, 67, 14, 50, 23, 59, 29, 65, 35, 71, 30, 66, 28, 64, 13, 49, 22, 58, 27, 63, 12, 48, 3, 39, 8, 44, 19, 55, 26, 62, 11, 47, 21, 57, 34, 70, 36, 72, 25, 61, 33, 69, 18, 54, 24, 60, 32, 68, 17, 53, 6, 42, 10, 46, 16, 52, 5, 41)(73, 109, 75, 111)(74, 110, 80, 116)(76, 112, 83, 119)(77, 113, 84, 120)(78, 114, 85, 121)(79, 115, 91, 127)(81, 117, 93, 129)(82, 118, 94, 130)(86, 122, 97, 133)(87, 123, 98, 134)(88, 124, 99, 135)(89, 125, 100, 136)(90, 126, 101, 137)(92, 128, 106, 142)(95, 131, 105, 141)(96, 132, 107, 143)(102, 138, 104, 140)(103, 139, 108, 144)
	L = (1, 76)(2, 81)(3, 83)(4, 86)(5, 87)(6, 73)(7, 92)(8, 93)(9, 95)(10, 74)(11, 97)(12, 98)(13, 75)(14, 102)(15, 103)(16, 79)(17, 77)(18, 78)(19, 106)(20, 101)(21, 105)(22, 80)(23, 100)(24, 82)(25, 104)(26, 108)(27, 91)(28, 84)(29, 85)(30, 99)(31, 107)(32, 88)(33, 89)(34, 90)(35, 94)(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, 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, 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, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72 ) }
Outer automorphisms :: reflexible
Dual of E26.340
Graph:: bipartite
	v = 19 e = 72 f = 3
	degree seq :: [ 4^18, 72 ]

E26.346 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 18, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, (Y1, Y2), (Y1^-1, Y2), Y3^-2 * Y2^2, (R * Y1)^2, (Y2, Y3), (Y2 * Y3^-1)^2, (Y1, Y3^-1), (R * Y3)^2, (R * Y2)^2, Y1 * Y3^-1 * Y2^-2 * Y1^2, Y2^-4 * Y1^-1 * Y2^-1, Y1^-1 * Y3 * Y2^2 * Y1^-2, Y2^-1 * Y1^-2 * Y3^-1 * Y1^-2, (Y1 * Y2 * Y1 * Y3^-1)^9 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 23, 59, 22, 58, 32, 68, 15, 51, 3, 39, 9, 45, 24, 60, 20, 56, 7, 43, 12, 48, 27, 63, 13, 49, 28, 64, 35, 71, 34, 70, 16, 52, 30, 66, 36, 72, 33, 69, 21, 57, 31, 67, 17, 53, 4, 40, 10, 46, 25, 61, 19, 55, 6, 42, 11, 47, 26, 62, 14, 50, 29, 65, 18, 54, 5, 41)(73, 109, 75, 111, 85, 121, 105, 141, 91, 127, 77, 113, 87, 123, 99, 135, 108, 144, 97, 133, 90, 126, 104, 140, 84, 120, 102, 138, 82, 118, 101, 137, 94, 130, 79, 115, 88, 124, 76, 112, 86, 122, 95, 131, 92, 128, 106, 142, 89, 125, 98, 134, 80, 116, 96, 132, 107, 143, 103, 139, 83, 119, 74, 110, 81, 117, 100, 136, 93, 129, 78, 114)
	L = (1, 76)(2, 82)(3, 86)(4, 85)(5, 89)(6, 88)(7, 73)(8, 97)(9, 101)(10, 100)(11, 102)(12, 74)(13, 95)(14, 105)(15, 98)(16, 75)(17, 99)(18, 103)(19, 106)(20, 77)(21, 79)(22, 78)(23, 91)(24, 90)(25, 107)(26, 108)(27, 80)(28, 94)(29, 93)(30, 81)(31, 84)(32, 83)(33, 92)(34, 87)(35, 104)(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) :: { ( 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 E26.339
Graph:: bipartite
	v = 2 e = 72 f = 20
	degree seq :: [ 72^2 ]

E26.347 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 39, 39})
Quotient :: dipole
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|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, (R * Y3)^2, (R * Y1)^2, (Y1, Y2^-1), (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y1 * Y2^-13, (Y3 * Y2^-1)^39 ]
Map::
	R = (1, 40, 2, 41, 4, 43)(3, 42, 6, 45, 9, 48)(5, 44, 7, 46, 10, 49)(8, 47, 12, 51, 15, 54)(11, 50, 13, 52, 16, 55)(14, 53, 18, 57, 21, 60)(17, 56, 19, 58, 22, 61)(20, 59, 24, 63, 27, 66)(23, 62, 25, 64, 28, 67)(26, 65, 30, 69, 33, 72)(29, 68, 31, 70, 34, 73)(32, 71, 36, 75, 38, 77)(35, 74, 37, 76, 39, 78)(79, 118, 81, 120, 86, 125, 92, 131, 98, 137, 104, 143, 110, 149, 115, 154, 109, 148, 103, 142, 97, 136, 91, 130, 85, 124, 80, 119, 84, 123, 90, 129, 96, 135, 102, 141, 108, 147, 114, 153, 117, 156, 112, 151, 106, 145, 100, 139, 94, 133, 88, 127, 82, 121, 87, 126, 93, 132, 99, 138, 105, 144, 111, 150, 116, 155, 113, 152, 107, 146, 101, 140, 95, 134, 89, 128, 83, 122)
	L = (1, 79)(2, 80)(3, 81)(4, 82)(5, 83)(6, 84)(7, 85)(8, 86)(9, 87)(10, 88)(11, 89)(12, 90)(13, 91)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)
	local type(s) :: { ( 6, 78, 6, 78, 6, 78 ), ( 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 14 e = 78 f = 14
	degree seq :: [ 6^13, 78 ]

E26.348 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 39, 39})
Quotient :: dipole
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|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, (R * Y3)^2, (R * Y1)^2, (Y2, Y1^-1), (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y2^-13 * Y1^-1, (Y3 * Y2^-1)^39 ]
Map::
	R = (1, 40, 2, 41, 4, 43)(3, 42, 6, 45, 9, 48)(5, 44, 7, 46, 10, 49)(8, 47, 12, 51, 15, 54)(11, 50, 13, 52, 16, 55)(14, 53, 18, 57, 21, 60)(17, 56, 19, 58, 22, 61)(20, 59, 24, 63, 27, 66)(23, 62, 25, 64, 28, 67)(26, 65, 30, 69, 33, 72)(29, 68, 31, 70, 34, 73)(32, 71, 36, 75, 39, 78)(35, 74, 37, 76, 38, 77)(79, 118, 81, 120, 86, 125, 92, 131, 98, 137, 104, 143, 110, 149, 116, 155, 112, 151, 106, 145, 100, 139, 94, 133, 88, 127, 82, 121, 87, 126, 93, 132, 99, 138, 105, 144, 111, 150, 117, 156, 115, 154, 109, 148, 103, 142, 97, 136, 91, 130, 85, 124, 80, 119, 84, 123, 90, 129, 96, 135, 102, 141, 108, 147, 114, 153, 113, 152, 107, 146, 101, 140, 95, 134, 89, 128, 83, 122)
	L = (1, 79)(2, 80)(3, 81)(4, 82)(5, 83)(6, 84)(7, 85)(8, 86)(9, 87)(10, 88)(11, 89)(12, 90)(13, 91)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)
	local type(s) :: { ( 6, 78, 6, 78, 6, 78 ), ( 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 14 e = 78 f = 14
	degree seq :: [ 6^13, 78 ]

E26.349 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 39, 39})
Quotient :: dipole
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|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^-13 * Y1^-1, (Y3 * Y2^-1)^39 ]
Map:: non-degenerate
	R = (1, 40, 2, 41, 4, 43)(3, 42, 6, 45, 9, 48)(5, 44, 7, 46, 10, 49)(8, 47, 12, 51, 15, 54)(11, 50, 13, 52, 16, 55)(14, 53, 18, 57, 21, 60)(17, 56, 19, 58, 22, 61)(20, 59, 24, 63, 27, 66)(23, 62, 25, 64, 28, 67)(26, 65, 30, 69, 33, 72)(29, 68, 31, 70, 34, 73)(32, 71, 36, 75, 39, 78)(35, 74, 37, 76, 38, 77)(79, 118, 81, 120, 86, 125, 92, 131, 98, 137, 104, 143, 110, 149, 116, 155, 112, 151, 106, 145, 100, 139, 94, 133, 88, 127, 82, 121, 87, 126, 93, 132, 99, 138, 105, 144, 111, 150, 117, 156, 115, 154, 109, 148, 103, 142, 97, 136, 91, 130, 85, 124, 80, 119, 84, 123, 90, 129, 96, 135, 102, 141, 108, 147, 114, 153, 113, 152, 107, 146, 101, 140, 95, 134, 89, 128, 83, 122)
	L = (1, 80)(2, 82)(3, 84)(4, 79)(5, 85)(6, 87)(7, 88)(8, 90)(9, 81)(10, 83)(11, 91)(12, 93)(13, 94)(14, 96)(15, 86)(16, 89)(17, 97)(18, 99)(19, 100)(20, 102)(21, 92)(22, 95)(23, 103)(24, 105)(25, 106)(26, 108)(27, 98)(28, 101)(29, 109)(30, 111)(31, 112)(32, 114)(33, 104)(34, 107)(35, 115)(36, 117)(37, 116)(38, 113)(39, 110)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)
	local type(s) :: { ( 6, 78, 6, 78, 6, 78 ), ( 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 14 e = 78 f = 14
	degree seq :: [ 6^13, 78 ]

E26.350 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 5, 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, Y2^4, Y2 * Y1 * Y2 * Y1^-1, Y1^2 * Y2^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y1^2 * Y2^-2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y3)^2, Y3 * Y1 * Y3 * Y1^-1, R * Y1 * R * Y2, Y3^5, Y3^2 * Y1 * 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^-1 ]
Map:: non-degenerate
	R = (1, 41, 4, 44, 15, 55, 20, 60, 7, 47)(2, 42, 10, 50, 25, 65, 28, 68, 12, 52)(3, 43, 13, 53, 29, 69, 30, 70, 14, 54)(5, 45, 18, 58, 33, 73, 31, 71, 16, 56)(6, 46, 19, 59, 34, 74, 32, 72, 17, 57)(8, 48, 21, 61, 35, 75, 36, 76, 22, 62)(9, 49, 23, 63, 37, 77, 38, 78, 24, 64)(11, 51, 27, 67, 40, 80, 39, 79, 26, 66)(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, 115, 111)(100, 105, 116, 113)(109, 119, 114, 118)(110, 120, 112, 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, 155, 152)(140, 149, 156, 154)(145, 158, 153, 159)(148, 157, 151, 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 ), ( 80^10 ) }
Outer automorphisms :: reflexible
Dual of E26.356
Graph:: simple bipartite
	v = 28 e = 80 f = 2
	degree seq :: [ 4^20, 10^8 ]

E26.351 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 5, 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^-1 * Y2^2 * Y1^-1, Y1^4, Y2^4, Y3^-1 * Y2^-1 * Y3^-1 * Y2, (R * Y3)^2, Y2^2 * Y1^-2, Y2^2 * Y1^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1, R * Y1 * R * Y2, Y3^5, Y1^-1 * Y2^-1 * Y3^-2 * Y1 * Y2^-1, Y3 * Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y2^2 * Y3^-1 * Y2^2, Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y2^2 * Y3 ]
Map:: non-degenerate
	R = (1, 41, 4, 44, 17, 57, 22, 62, 7, 47)(2, 42, 10, 50, 29, 69, 32, 72, 12, 52)(3, 43, 14, 54, 35, 75, 25, 65, 16, 56)(5, 45, 20, 60, 33, 73, 37, 77, 18, 58)(6, 46, 21, 61, 38, 78, 27, 67, 19, 59)(8, 48, 23, 63, 39, 79, 40, 80, 24, 64)(9, 49, 26, 66, 36, 76, 15, 55, 28, 68)(11, 51, 31, 71, 34, 74, 13, 53, 30, 70)(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, 119, 117)(102, 109, 120, 113)(106, 115, 111, 118)(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, 159, 147)(142, 155, 160, 158)(152, 156, 157, 154)
	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 ), ( 80^10 ) }
Outer automorphisms :: reflexible
Dual of E26.357
Graph:: simple bipartite
	v = 28 e = 80 f = 2
	degree seq :: [ 4^20, 10^8 ]

E26.352 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 5, 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^-1 * Y2^-1 * Y1 * Y2^-1, Y1^-2 * Y2^2, Y3 * Y1^-1 * Y3 * Y1, Y1^4, R * Y1 * R * Y2, Y2 * Y1 * Y2^-1 * Y1, Y2^-1 * Y1^-2 * Y2^-1, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y3)^2, Y3^-2 * Y1 * Y2^-1 * Y3^-3 ]
Map:: non-degenerate
	R = (1, 41, 4, 44, 15, 55, 31, 71, 26, 66, 11, 51, 27, 67, 40, 80, 38, 78, 22, 62, 8, 48, 21, 61, 37, 77, 39, 79, 24, 64, 9, 49, 23, 63, 36, 76, 20, 60, 7, 47)(2, 42, 10, 50, 25, 65, 30, 70, 14, 54, 3, 43, 13, 53, 29, 69, 32, 72, 16, 56, 5, 45, 18, 58, 34, 74, 33, 73, 17, 57, 6, 46, 19, 59, 35, 75, 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, 111, 115, 119)(110, 120, 113, 116)(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, 159, 154, 151)(148, 156, 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) :: { ( 20^4 ), ( 20^40 ) }
Outer automorphisms :: reflexible
Dual of E26.354
Graph:: bipartite
	v = 22 e = 80 f = 8
	degree seq :: [ 4^20, 40^2 ]

E26.353 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 5, 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, Y2^4, Y1^4, Y1^2 * Y2^2, (R * Y3)^2, Y1 * Y2^-2 * Y1, R * Y2 * R * Y1, Y1 * Y3 * Y1^-1 * Y3, Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3 * Y1 * Y2^-1 * Y3^2, Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y2 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y3^-1 * Y1^-1 * Y3^2 * Y2 * Y1^-1 * Y2^-1 * Y3^-1, Y1^-1 * Y2^-1 * Y3 * 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, 41, 4, 44, 17, 57, 15, 55, 35, 75, 39, 79, 28, 68, 9, 49, 26, 66, 24, 64, 8, 48, 23, 63, 34, 74, 13, 53, 32, 72, 40, 80, 30, 70, 11, 51, 22, 62, 7, 47)(2, 42, 10, 50, 29, 69, 27, 67, 31, 71, 37, 77, 19, 59, 6, 46, 21, 61, 18, 58, 5, 45, 20, 60, 38, 78, 25, 65, 33, 73, 36, 76, 16, 56, 3, 43, 14, 54, 12, 52)(81, 82, 88, 85)(83, 93, 86, 95)(84, 92, 103, 98)(87, 90, 104, 100)(89, 105, 91, 107)(94, 114, 101, 97)(96, 112, 99, 115)(102, 109, 106, 118)(108, 113, 110, 111)(116, 120, 117, 119)(121, 123, 128, 126)(122, 129, 125, 131)(124, 136, 143, 139)(127, 134, 144, 141)(130, 148, 140, 150)(132, 146, 138, 142)(133, 151, 135, 153)(137, 156, 154, 157)(145, 152, 147, 155)(149, 159, 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) :: { ( 20^4 ), ( 20^40 ) }
Outer automorphisms :: reflexible
Dual of E26.355
Graph:: bipartite
	v = 22 e = 80 f = 8
	degree seq :: [ 4^20, 40^2 ]

E26.354 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 5, 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, Y2^4, Y2 * Y1 * Y2 * Y1^-1, Y1^2 * Y2^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y1^2 * Y2^-2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y3)^2, Y3 * Y1 * Y3 * Y1^-1, R * Y1 * R * Y2, Y3^5, Y3^2 * Y1 * 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^-1 ]
Map:: non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124, 15, 55, 95, 135, 20, 60, 100, 140, 7, 47, 87, 127)(2, 42, 82, 122, 10, 50, 90, 130, 25, 65, 105, 145, 28, 68, 108, 148, 12, 52, 92, 132)(3, 43, 83, 123, 13, 53, 93, 133, 29, 69, 109, 149, 30, 70, 110, 150, 14, 54, 94, 134)(5, 45, 85, 125, 18, 58, 98, 138, 33, 73, 113, 153, 31, 71, 111, 151, 16, 56, 96, 136)(6, 46, 86, 126, 19, 59, 99, 139, 34, 74, 114, 154, 32, 72, 112, 152, 17, 57, 97, 137)(8, 48, 88, 128, 21, 61, 101, 141, 35, 75, 115, 155, 36, 76, 116, 156, 22, 62, 102, 142)(9, 49, 89, 129, 23, 63, 103, 143, 37, 77, 117, 157, 38, 78, 118, 158, 24, 64, 104, 144)(11, 51, 91, 131, 27, 67, 107, 147, 40, 80, 120, 160, 39, 79, 119, 159, 26, 66, 106, 146)
	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, 76)(26, 59)(27, 57)(28, 75)(29, 79)(30, 80)(31, 55)(32, 77)(33, 60)(34, 78)(35, 71)(36, 73)(37, 70)(38, 69)(39, 74)(40, 72)(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, 156)(110, 155)(111, 160)(112, 135)(113, 159)(114, 140)(115, 152)(116, 154)(117, 151)(118, 153)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.352
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 80 f = 22
	degree seq :: [ 20^8 ]

E26.355 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 5, 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^-1 * Y2^2 * Y1^-1, Y1^4, Y2^4, Y3^-1 * Y2^-1 * Y3^-1 * Y2, (R * Y3)^2, Y2^2 * Y1^-2, Y2^2 * Y1^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1, R * Y1 * R * Y2, Y3^5, Y1^-1 * Y2^-1 * Y3^-2 * Y1 * Y2^-1, Y3 * Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y2^2 * Y3^-1 * Y2^2, Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y2^2 * Y3 ]
Map:: non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124, 17, 57, 97, 137, 22, 62, 102, 142, 7, 47, 87, 127)(2, 42, 82, 122, 10, 50, 90, 130, 29, 69, 109, 149, 32, 72, 112, 152, 12, 52, 92, 132)(3, 43, 83, 123, 14, 54, 94, 134, 35, 75, 115, 155, 25, 65, 105, 145, 16, 56, 96, 136)(5, 45, 85, 125, 20, 60, 100, 140, 33, 73, 113, 153, 37, 77, 117, 157, 18, 58, 98, 138)(6, 46, 86, 126, 21, 61, 101, 141, 38, 78, 118, 158, 27, 67, 107, 147, 19, 59, 99, 139)(8, 48, 88, 128, 23, 63, 103, 143, 39, 79, 119, 159, 40, 80, 120, 160, 24, 64, 104, 144)(9, 49, 89, 129, 26, 66, 106, 146, 36, 76, 116, 156, 15, 55, 95, 135, 28, 68, 108, 148)(11, 51, 91, 131, 31, 71, 111, 151, 34, 74, 114, 154, 13, 53, 93, 133, 30, 70, 110, 150)
	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, 75)(27, 49)(28, 56)(29, 80)(30, 59)(31, 78)(32, 79)(33, 62)(34, 61)(35, 71)(36, 54)(37, 57)(38, 66)(39, 77)(40, 73)(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, 159)(106, 138)(107, 137)(108, 140)(109, 135)(110, 130)(111, 132)(112, 156)(113, 133)(114, 152)(115, 160)(116, 157)(117, 154)(118, 142)(119, 147)(120, 158)
	local type(s) :: { ( 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 E26.353
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 80 f = 22
	degree seq :: [ 20^8 ]

E26.356 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 5, 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^-1 * Y2^-1 * Y1 * Y2^-1, Y1^-2 * Y2^2, Y3 * Y1^-1 * Y3 * Y1, Y1^4, R * Y1 * R * Y2, Y2 * Y1 * Y2^-1 * Y1, Y2^-1 * Y1^-2 * Y2^-1, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y3)^2, Y3^-2 * Y1 * Y2^-1 * Y3^-3 ]
Map:: non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124, 15, 55, 95, 135, 31, 71, 111, 151, 26, 66, 106, 146, 11, 51, 91, 131, 27, 67, 107, 147, 40, 80, 120, 160, 38, 78, 118, 158, 22, 62, 102, 142, 8, 48, 88, 128, 21, 61, 101, 141, 37, 77, 117, 157, 39, 79, 119, 159, 24, 64, 104, 144, 9, 49, 89, 129, 23, 63, 103, 143, 36, 76, 116, 156, 20, 60, 100, 140, 7, 47, 87, 127)(2, 42, 82, 122, 10, 50, 90, 130, 25, 65, 105, 145, 30, 70, 110, 150, 14, 54, 94, 134, 3, 43, 83, 123, 13, 53, 93, 133, 29, 69, 109, 149, 32, 72, 112, 152, 16, 56, 96, 136, 5, 45, 85, 125, 18, 58, 98, 138, 34, 74, 114, 154, 33, 73, 113, 153, 17, 57, 97, 137, 6, 46, 86, 126, 19, 59, 99, 139, 35, 75, 115, 155, 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, 71)(30, 80)(31, 75)(32, 55)(33, 76)(34, 60)(35, 79)(36, 70)(37, 72)(38, 74)(39, 69)(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, 159)(106, 130)(107, 132)(108, 156)(109, 158)(110, 157)(111, 145)(112, 160)(113, 135)(114, 151)(115, 140)(116, 152)(117, 153)(118, 155)(119, 154)(120, 148)
	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, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E26.350
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 80 f = 28
	degree seq :: [ 80^2 ]

E26.357 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 5, 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, Y2^4, Y1^4, Y1^2 * Y2^2, (R * Y3)^2, Y1 * Y2^-2 * Y1, R * Y2 * R * Y1, Y1 * Y3 * Y1^-1 * Y3, Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3 * Y1 * Y2^-1 * Y3^2, Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y2 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y3^-1 * Y1^-1 * Y3^2 * Y2 * Y1^-1 * Y2^-1 * Y3^-1, Y1^-1 * Y2^-1 * Y3 * 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, 41, 81, 121, 4, 44, 84, 124, 17, 57, 97, 137, 15, 55, 95, 135, 35, 75, 115, 155, 39, 79, 119, 159, 28, 68, 108, 148, 9, 49, 89, 129, 26, 66, 106, 146, 24, 64, 104, 144, 8, 48, 88, 128, 23, 63, 103, 143, 34, 74, 114, 154, 13, 53, 93, 133, 32, 72, 112, 152, 40, 80, 120, 160, 30, 70, 110, 150, 11, 51, 91, 131, 22, 62, 102, 142, 7, 47, 87, 127)(2, 42, 82, 122, 10, 50, 90, 130, 29, 69, 109, 149, 27, 67, 107, 147, 31, 71, 111, 151, 37, 77, 117, 157, 19, 59, 99, 139, 6, 46, 86, 126, 21, 61, 101, 141, 18, 58, 98, 138, 5, 45, 85, 125, 20, 60, 100, 140, 38, 78, 118, 158, 25, 65, 105, 145, 33, 73, 113, 153, 36, 76, 116, 156, 16, 56, 96, 136, 3, 43, 83, 123, 14, 54, 94, 134, 12, 52, 92, 132)
	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, 72)(17, 54)(18, 44)(19, 75)(20, 47)(21, 57)(22, 69)(23, 58)(24, 60)(25, 51)(26, 78)(27, 49)(28, 73)(29, 66)(30, 71)(31, 68)(32, 59)(33, 70)(34, 61)(35, 56)(36, 80)(37, 79)(38, 62)(39, 76)(40, 77)(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, 151)(94, 144)(95, 153)(96, 143)(97, 156)(98, 142)(99, 124)(100, 150)(101, 127)(102, 132)(103, 139)(104, 141)(105, 152)(106, 138)(107, 155)(108, 140)(109, 159)(110, 130)(111, 135)(112, 147)(113, 133)(114, 157)(115, 145)(116, 154)(117, 137)(118, 160)(119, 158)(120, 149)
	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, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E26.351
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 80 f = 28
	degree seq :: [ 80^2 ]

E26.358 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 5, 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, Y1^-1 * Y3^-1 * Y1^-1 * Y3, (R * Y3)^2, Y3 * Y1^-2 * Y3, Y3 * Y1^-1 * Y3 * Y1, (Y3, Y2^-1), (R * Y2)^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y1)^2, Y2^5, Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y1^-1 * Y2^-1 * Y3^-2 * Y2 * Y1^-1, Y3^20 ]
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, 30, 70)(14, 54, 28, 68, 16, 56, 26, 66)(17, 57, 25, 65, 20, 60, 24, 64)(19, 59, 23, 63, 36, 76, 33, 73)(29, 69, 40, 80, 31, 71, 39, 79)(32, 72, 38, 78, 34, 74, 37, 77)(81, 121, 83, 123, 93, 133, 99, 139, 86, 126)(82, 122, 89, 129, 103, 143, 107, 147, 91, 131)(84, 124, 94, 134, 109, 149, 112, 152, 97, 137)(85, 125, 98, 138, 113, 153, 110, 150, 95, 135)(87, 127, 96, 136, 111, 151, 114, 154, 100, 140)(88, 128, 101, 141, 115, 155, 116, 156, 102, 142)(90, 130, 104, 144, 117, 157, 119, 159, 106, 146)(92, 132, 105, 145, 118, 158, 120, 160, 108, 148)
	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, 109)(14, 101)(15, 108)(16, 83)(17, 102)(18, 105)(19, 112)(20, 86)(21, 96)(22, 100)(23, 117)(24, 98)(25, 89)(26, 95)(27, 119)(28, 91)(29, 115)(30, 120)(31, 93)(32, 116)(33, 118)(34, 99)(35, 111)(36, 114)(37, 113)(38, 103)(39, 110)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.362
Graph:: simple bipartite
	v = 18 e = 80 f = 12
	degree seq :: [ 8^10, 10^8 ]

E26.359 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 5, 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 * Y2 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2^-1)^2, (Y3^-1, Y2^-1), Y3^4 * Y2^-1, Y2^5, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, Y2 * Y3 * Y2 * Y3 * Y1^-2, Y2^-1 * Y1 * Y3 * Y2 * Y1 * Y3^-1, Y2^-1 * Y3^-2 * Y2^-1 * Y1^-2, Y3^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^2 * Y1^-2 ]
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, 40, 80, 38, 78)(17, 57, 36, 76, 22, 62, 29, 69)(19, 59, 31, 71, 37, 77, 39, 79)(81, 121, 83, 123, 93, 133, 102, 142, 86, 126)(82, 122, 89, 129, 109, 149, 114, 154, 91, 131)(84, 124, 94, 134, 108, 148, 120, 160, 99, 139)(85, 125, 100, 140, 116, 156, 112, 152, 95, 135)(87, 127, 96, 136, 117, 157, 106, 146, 103, 143)(88, 128, 105, 145, 104, 144, 97, 137, 107, 147)(90, 130, 110, 150, 98, 138, 119, 159, 113, 153)(92, 132, 111, 151, 118, 158, 101, 141, 115, 155)
	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, 118)(16, 83)(17, 96)(18, 85)(19, 104)(20, 115)(21, 114)(22, 120)(23, 86)(24, 87)(25, 103)(26, 102)(27, 117)(28, 88)(29, 98)(30, 95)(31, 89)(32, 111)(33, 116)(34, 119)(35, 91)(36, 92)(37, 93)(38, 109)(39, 100)(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, 40, 8, 40, 8, 40, 8, 40 ), ( 8, 40, 8, 40, 8, 40, 8, 40, 8, 40 ) }
Outer automorphisms :: reflexible
Dual of E26.363
Graph:: simple bipartite
	v = 18 e = 80 f = 12
	degree seq :: [ 8^10, 10^8 ]

E26.360 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 5, 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 * Y1 * Y2^-1 * Y1^-1, (Y3, Y2^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1^4, Y3 * Y2^-1 * Y1 * Y3^-1 * Y1, Y1 * Y2^-1 * Y3^2 * Y1, Y2^5, Y3^20 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 5, 45)(3, 43, 11, 51, 17, 57, 15, 55)(4, 44, 12, 52, 16, 56, 18, 58)(6, 46, 9, 49, 24, 64, 20, 60)(7, 47, 10, 50, 19, 59, 21, 61)(13, 53, 27, 67, 32, 72, 30, 70)(14, 54, 28, 68, 31, 71, 33, 73)(22, 62, 25, 65, 38, 78, 35, 75)(23, 63, 26, 66, 34, 74, 36, 76)(29, 69, 40, 80, 37, 77, 39, 79)(81, 121, 83, 123, 93, 133, 102, 142, 86, 126)(82, 122, 89, 129, 105, 145, 107, 147, 91, 131)(84, 124, 94, 134, 109, 149, 114, 154, 99, 139)(85, 125, 100, 140, 115, 155, 110, 150, 95, 135)(87, 127, 96, 136, 111, 151, 117, 157, 103, 143)(88, 128, 97, 137, 112, 152, 118, 158, 104, 144)(90, 130, 106, 146, 119, 159, 113, 153, 98, 138)(92, 132, 101, 141, 116, 156, 120, 160, 108, 148)
	L = (1, 84)(2, 90)(3, 94)(4, 97)(5, 101)(6, 99)(7, 81)(8, 96)(9, 106)(10, 100)(11, 98)(12, 82)(13, 109)(14, 112)(15, 92)(16, 83)(17, 111)(18, 85)(19, 88)(20, 116)(21, 89)(22, 114)(23, 86)(24, 87)(25, 119)(26, 115)(27, 113)(28, 91)(29, 118)(30, 108)(31, 93)(32, 117)(33, 95)(34, 104)(35, 120)(36, 105)(37, 102)(38, 103)(39, 110)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.365
Graph:: simple bipartite
	v = 18 e = 80 f = 12
	degree seq :: [ 8^10, 10^8 ]

E26.361 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 5, 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, (R * Y2^-1)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y1 * Y3 * Y1^-1 * Y3, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2^-1), Y1^4, Y2^-1 * Y3^-2 * Y1^-2, Y2^-1 * Y1^2 * Y3^-2, Y2^5, Y3^-1 * Y2^2 * Y1^-1 * Y3 * Y2^-2 * Y1^-1, Y2^-1 * Y3^8 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 5, 45)(3, 43, 11, 51, 24, 64, 15, 55)(4, 44, 12, 52, 23, 63, 18, 58)(6, 46, 9, 49, 17, 57, 20, 60)(7, 47, 10, 50, 14, 54, 21, 61)(13, 53, 28, 68, 33, 73, 30, 70)(16, 56, 27, 67, 29, 69, 32, 72)(19, 59, 26, 66, 34, 74, 36, 76)(22, 62, 25, 65, 35, 75, 38, 78)(31, 71, 40, 80, 37, 77, 39, 79)(81, 121, 83, 123, 93, 133, 102, 142, 86, 126)(82, 122, 89, 129, 105, 145, 108, 148, 91, 131)(84, 124, 94, 134, 109, 149, 117, 157, 99, 139)(85, 125, 100, 140, 118, 158, 110, 150, 95, 135)(87, 127, 96, 136, 111, 151, 114, 154, 103, 143)(88, 128, 104, 144, 113, 153, 115, 155, 97, 137)(90, 130, 98, 138, 116, 156, 120, 160, 107, 147)(92, 132, 106, 146, 119, 159, 112, 152, 101, 141)
	L = (1, 84)(2, 90)(3, 94)(4, 97)(5, 101)(6, 99)(7, 81)(8, 103)(9, 98)(10, 95)(11, 107)(12, 82)(13, 109)(14, 88)(15, 112)(16, 83)(17, 114)(18, 85)(19, 115)(20, 92)(21, 91)(22, 117)(23, 86)(24, 87)(25, 116)(26, 89)(27, 110)(28, 120)(29, 104)(30, 119)(31, 93)(32, 108)(33, 96)(34, 102)(35, 111)(36, 100)(37, 113)(38, 106)(39, 105)(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) :: { ( 8, 40, 8, 40, 8, 40, 8, 40 ), ( 8, 40, 8, 40, 8, 40, 8, 40, 8, 40 ) }
Outer automorphisms :: reflexible
Dual of E26.364
Graph:: simple bipartite
	v = 18 e = 80 f = 12
	degree seq :: [ 8^10, 10^8 ]

E26.362 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 5, 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^-1 * Y2^2 * Y3^-1, Y3^-1 * Y2^-1 * Y3 * Y2^-1, Y2^-1 * Y1^-1 * Y2 * Y1^-1, (R * Y1)^2, R * Y2 * R * Y2^-1, (R * Y3)^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, (Y3, Y1^-1), Y3^-1 * Y1^-5, Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 21, 61, 20, 60, 7, 47, 12, 52, 25, 65, 37, 77, 30, 70, 14, 54, 26, 66, 38, 78, 33, 73, 17, 57, 4, 44, 10, 50, 23, 63, 18, 58, 5, 45)(3, 43, 13, 53, 29, 69, 40, 80, 28, 68, 16, 56, 32, 72, 36, 76, 24, 64, 11, 51, 6, 46, 19, 59, 34, 74, 39, 79, 27, 67, 15, 55, 31, 71, 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, 117, 157, 114, 154)(101, 141, 115, 155, 113, 153, 116, 156)(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, 113)(19, 112)(20, 85)(21, 98)(22, 119)(23, 118)(24, 120)(25, 88)(26, 92)(27, 91)(28, 89)(29, 115)(30, 100)(31, 99)(32, 93)(33, 117)(34, 116)(35, 114)(36, 109)(37, 101)(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, 10, 8, 10, 8, 10, 8, 10 ), ( 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 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 E26.358
Graph:: bipartite
	v = 12 e = 80 f = 18
	degree seq :: [ 8^10, 40^2 ]

E26.363 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 5, 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 * Y1 * Y2^-1 * Y1, Y3 * Y1^-1 * Y3^2, (Y1, Y3), (R * Y3)^2, Y2^4, Y1 * Y2 * Y1 * Y2^-1, (R * Y1)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y1^-1 * Y3^-1 * Y1^-1 * Y2^2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^-2 * Y3^-1 * Y1^-3, Y2^-1 * Y1^2 * Y2^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2^-1, Y3^-1 * Y1^15 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 23, 63, 37, 77, 35, 75, 17, 57, 4, 44, 10, 50, 25, 65, 14, 54, 28, 68, 21, 61, 7, 47, 12, 52, 27, 67, 38, 78, 34, 74, 19, 59, 5, 45)(3, 43, 13, 53, 31, 71, 18, 58, 36, 76, 39, 79, 29, 69, 15, 55, 26, 66, 11, 51, 6, 46, 20, 60, 30, 70, 16, 56, 33, 73, 40, 80, 32, 72, 22, 62, 24, 64, 9, 49)(81, 121, 83, 123, 94, 134, 86, 126)(82, 122, 89, 129, 108, 148, 91, 131)(84, 124, 96, 136, 114, 154, 98, 138)(85, 125, 93, 133, 105, 145, 100, 140)(87, 127, 95, 135, 103, 143, 102, 142)(88, 128, 104, 144, 101, 141, 106, 146)(90, 130, 110, 150, 99, 139, 111, 151)(92, 132, 109, 149, 117, 157, 112, 152)(97, 137, 113, 153, 118, 158, 116, 156)(107, 147, 119, 159, 115, 155, 120, 160)
	L = (1, 84)(2, 90)(3, 95)(4, 92)(5, 97)(6, 102)(7, 81)(8, 105)(9, 109)(10, 107)(11, 112)(12, 82)(13, 106)(14, 114)(15, 113)(16, 83)(17, 87)(18, 86)(19, 115)(20, 104)(21, 85)(22, 116)(23, 94)(24, 119)(25, 118)(26, 120)(27, 88)(28, 99)(29, 96)(30, 89)(31, 91)(32, 98)(33, 93)(34, 117)(35, 101)(36, 100)(37, 108)(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) :: { ( 8, 10, 8, 10, 8, 10, 8, 10 ), ( 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 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 E26.359
Graph:: bipartite
	v = 12 e = 80 f = 18
	degree seq :: [ 8^10, 40^2 ]

E26.364 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 5, 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 * Y2^-1 * Y1^-1 * Y2, Y3 * Y1^-3, (Y3, Y1^-1), (R * Y1)^2, Y2^4, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y3)^2, Y1^-1 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y1 * Y3^2 * Y2^-1, Y3 * Y1^-1 * Y3^6, (Y1^-1 * Y3^-1)^5 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 4, 44, 10, 50, 24, 64, 17, 57, 29, 69, 39, 79, 33, 73, 14, 54, 26, 66, 37, 77, 35, 75, 22, 62, 32, 72, 20, 60, 7, 47, 12, 52, 5, 45)(3, 43, 13, 53, 27, 67, 15, 55, 34, 74, 40, 80, 30, 70, 18, 58, 25, 65, 11, 51, 6, 46, 19, 59, 31, 71, 21, 61, 36, 76, 38, 78, 28, 68, 16, 56, 23, 63, 9, 49)(81, 121, 83, 123, 94, 134, 86, 126)(82, 122, 89, 129, 106, 146, 91, 131)(84, 124, 96, 136, 115, 155, 98, 138)(85, 125, 93, 133, 113, 153, 99, 139)(87, 127, 95, 135, 109, 149, 101, 141)(88, 128, 103, 143, 117, 157, 105, 145)(90, 130, 108, 148, 102, 142, 110, 150)(92, 132, 107, 147, 119, 159, 111, 151)(97, 137, 116, 156, 100, 140, 114, 154)(104, 144, 118, 158, 112, 152, 120, 160)
	L = (1, 84)(2, 90)(3, 95)(4, 97)(5, 88)(6, 101)(7, 81)(8, 104)(9, 107)(10, 109)(11, 111)(12, 82)(13, 114)(14, 115)(15, 110)(16, 83)(17, 113)(18, 86)(19, 116)(20, 85)(21, 108)(22, 87)(23, 93)(24, 119)(25, 99)(26, 102)(27, 120)(28, 89)(29, 94)(30, 91)(31, 118)(32, 92)(33, 117)(34, 98)(35, 100)(36, 96)(37, 112)(38, 103)(39, 106)(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, 10, 8, 10, 8, 10, 8, 10 ), ( 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 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 E26.361
Graph:: bipartite
	v = 12 e = 80 f = 18
	degree seq :: [ 8^10, 40^2 ]

E26.365 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 5, 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 * Y3^-1 * Y2^2, Y3 * Y2^2 * Y1^-1, Y1^-1 * Y3 * Y2^-2, Y2^-1 * Y1 * Y3^-1 * Y2^-1, Y2^-1 * Y1^-1 * Y2 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^5, Y1^20 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 17, 57, 25, 65, 33, 73, 32, 72, 24, 64, 16, 56, 7, 47, 12, 52, 4, 44, 10, 50, 19, 59, 27, 67, 35, 75, 31, 71, 23, 63, 15, 55, 5, 45)(3, 43, 13, 53, 21, 61, 29, 69, 37, 77, 40, 80, 36, 76, 28, 68, 20, 60, 11, 51, 6, 46, 14, 54, 22, 62, 30, 70, 38, 78, 39, 79, 34, 74, 26, 66, 18, 58, 9, 49)(81, 121, 83, 123, 92, 132, 86, 126)(82, 122, 89, 129, 84, 124, 91, 131)(85, 125, 93, 133, 87, 127, 94, 134)(88, 128, 98, 138, 90, 130, 100, 140)(95, 135, 101, 141, 96, 136, 102, 142)(97, 137, 106, 146, 99, 139, 108, 148)(103, 143, 109, 149, 104, 144, 110, 150)(105, 145, 114, 154, 107, 147, 116, 156)(111, 151, 117, 157, 112, 152, 118, 158)(113, 153, 119, 159, 115, 155, 120, 160)
	L = (1, 84)(2, 90)(3, 94)(4, 88)(5, 92)(6, 93)(7, 81)(8, 99)(9, 86)(10, 97)(11, 83)(12, 82)(13, 102)(14, 101)(15, 87)(16, 85)(17, 107)(18, 91)(19, 105)(20, 89)(21, 110)(22, 109)(23, 96)(24, 95)(25, 115)(26, 100)(27, 113)(28, 98)(29, 118)(30, 117)(31, 104)(32, 103)(33, 111)(34, 108)(35, 112)(36, 106)(37, 119)(38, 120)(39, 116)(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) :: { ( 8, 10, 8, 10, 8, 10, 8, 10 ), ( 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 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 E26.360
Graph:: bipartite
	v = 12 e = 80 f = 18
	degree seq :: [ 8^10, 40^2 ]

E26.366 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 5, 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 * Y3^-1 * Y1^-1, (Y2^-1, Y1^-1), Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3^4, (R * Y1)^2, (R * Y2)^2, Y1^2 * Y3^-2, (R * Y3)^2, (Y3, Y2^-1), Y2^5 ]
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, 30, 70)(14, 54, 25, 65, 16, 56, 24, 64)(17, 57, 28, 68, 20, 60, 26, 66)(19, 59, 27, 67, 36, 76, 33, 73)(29, 69, 38, 78, 31, 71, 37, 77)(32, 72, 40, 80, 34, 74, 39, 79)(81, 121, 83, 123, 93, 133, 99, 139, 86, 126)(82, 122, 89, 129, 103, 143, 107, 147, 91, 131)(84, 124, 94, 134, 109, 149, 112, 152, 97, 137)(85, 125, 95, 135, 110, 150, 113, 153, 98, 138)(87, 127, 96, 136, 111, 151, 114, 154, 100, 140)(88, 128, 101, 141, 115, 155, 116, 156, 102, 142)(90, 130, 104, 144, 117, 157, 119, 159, 106, 146)(92, 132, 105, 145, 118, 158, 120, 160, 108, 148)
	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, 109)(14, 101)(15, 105)(16, 83)(17, 102)(18, 108)(19, 112)(20, 86)(21, 96)(22, 100)(23, 117)(24, 95)(25, 89)(26, 98)(27, 119)(28, 91)(29, 115)(30, 118)(31, 93)(32, 116)(33, 120)(34, 99)(35, 111)(36, 114)(37, 110)(38, 103)(39, 113)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.367
Graph:: simple bipartite
	v = 18 e = 80 f = 12
	degree seq :: [ 8^10, 10^8 ]

E26.367 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 5, 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, Y3^4, Y2^-1 * Y3^-2 * Y2^-1, Y2^-1 * Y3^2 * Y2^-1, (R * Y3)^2, (Y1^-1, Y3^-1), (R * Y1)^2, Y3 * Y2 * Y3 * Y2^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y1^-1, R * Y2 * R * Y2^-1, Y3 * Y1^5, Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y1^3 * Y3^-1 * Y1^2 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 21, 61, 20, 60, 7, 47, 12, 52, 25, 65, 37, 77, 29, 69, 13, 53, 26, 66, 38, 78, 33, 73, 17, 57, 4, 44, 10, 50, 23, 63, 19, 59, 5, 45)(3, 43, 11, 51, 22, 62, 36, 76, 32, 72, 16, 56, 27, 67, 40, 80, 34, 74, 18, 58, 6, 46, 9, 49, 24, 64, 35, 75, 30, 70, 14, 54, 28, 68, 39, 79, 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, 117, 157, 114, 154)(101, 141, 115, 155, 113, 153, 116, 156)(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, 113)(20, 85)(21, 99)(22, 119)(23, 118)(24, 120)(25, 88)(26, 92)(27, 91)(28, 89)(29, 100)(30, 98)(31, 115)(32, 95)(33, 117)(34, 116)(35, 114)(36, 111)(37, 101)(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, 10, 8, 10, 8, 10, 8, 10 ), ( 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 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 E26.366
Graph:: bipartite
	v = 12 e = 80 f = 18
	degree seq :: [ 8^10, 40^2 ]

E26.368 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 10, 20})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3 * Y2)^2, Y2 * Y1 * Y2^-1 * Y1, Y3^-1 * Y2^-2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y1 * Y3^3 * Y2^-1 * Y1, (Y3 * Y1 * Y3^-1 * Y1)^2, Y3^-2 * Y2^8, (Y3 * Y2^-1)^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 7, 47)(4, 44, 14, 54)(5, 45, 9, 49)(6, 46, 17, 57)(8, 48, 21, 61)(10, 50, 24, 64)(11, 51, 18, 58)(12, 52, 27, 67)(13, 53, 28, 68)(15, 55, 22, 62)(16, 56, 30, 70)(19, 59, 35, 75)(20, 60, 32, 72)(23, 63, 26, 66)(25, 65, 29, 69)(31, 71, 36, 76)(33, 73, 34, 74)(37, 77, 38, 78)(39, 79, 40, 80)(81, 121, 83, 123, 91, 131, 105, 145, 117, 157, 116, 156, 120, 160, 113, 153, 95, 135, 85, 125)(82, 122, 87, 127, 98, 138, 109, 149, 118, 158, 111, 151, 119, 159, 114, 154, 102, 142, 89, 129)(84, 124, 92, 132, 86, 126, 93, 133, 106, 146, 101, 141, 115, 155, 104, 144, 112, 152, 96, 136)(88, 128, 99, 139, 90, 130, 100, 140, 110, 150, 94, 134, 107, 147, 97, 137, 108, 148, 103, 143)
	L = (1, 84)(2, 88)(3, 92)(4, 95)(5, 96)(6, 81)(7, 99)(8, 102)(9, 103)(10, 82)(11, 86)(12, 85)(13, 83)(14, 109)(15, 112)(16, 113)(17, 111)(18, 90)(19, 89)(20, 87)(21, 105)(22, 108)(23, 114)(24, 116)(25, 93)(26, 91)(27, 118)(28, 119)(29, 100)(30, 98)(31, 94)(32, 120)(33, 104)(34, 97)(35, 117)(36, 101)(37, 106)(38, 110)(39, 107)(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) :: { ( 20, 40, 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E26.389
Graph:: simple bipartite
	v = 24 e = 80 f = 6
	degree seq :: [ 4^20, 20^4 ]

E26.369 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 10, 20})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), Y2^-1 * Y1 * Y2 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-3, Y3 * Y2^-1 * Y3^3 * Y2^-1, Y3^2 * Y1 * Y3^-2 * Y1, 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, 41, 2, 42)(3, 43, 7, 47)(4, 44, 14, 54)(5, 45, 9, 49)(6, 46, 19, 59)(8, 48, 13, 53)(10, 50, 16, 56)(11, 51, 21, 61)(12, 52, 30, 70)(15, 55, 23, 63)(17, 57, 24, 64)(18, 58, 35, 75)(20, 60, 26, 66)(22, 62, 29, 69)(25, 65, 34, 74)(27, 67, 36, 76)(28, 68, 40, 80)(31, 71, 38, 78)(32, 72, 33, 73)(37, 77, 39, 79)(81, 121, 83, 123, 91, 131, 107, 147, 100, 140, 112, 152, 95, 135, 111, 151, 97, 137, 85, 125)(82, 122, 87, 127, 101, 141, 116, 156, 106, 146, 113, 153, 103, 143, 118, 158, 104, 144, 89, 129)(84, 124, 92, 132, 108, 148, 98, 138, 86, 126, 93, 133, 109, 149, 119, 159, 114, 154, 96, 136)(88, 128, 102, 142, 117, 157, 105, 145, 90, 130, 94, 134, 110, 150, 120, 160, 115, 155, 99, 139)
	L = (1, 84)(2, 88)(3, 92)(4, 95)(5, 96)(6, 81)(7, 102)(8, 103)(9, 99)(10, 82)(11, 108)(12, 111)(13, 83)(14, 87)(15, 109)(16, 112)(17, 114)(18, 85)(19, 113)(20, 86)(21, 117)(22, 118)(23, 110)(24, 115)(25, 89)(26, 90)(27, 98)(28, 97)(29, 91)(30, 101)(31, 119)(32, 93)(33, 94)(34, 100)(35, 106)(36, 105)(37, 104)(38, 120)(39, 107)(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, 40, 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E26.388
Graph:: simple bipartite
	v = 24 e = 80 f = 6
	degree seq :: [ 4^20, 20^4 ]

E26.370 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 10, 20})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y3)^2, Y2 * Y1 * Y3 * Y1 * Y3, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2, Y3 * Y2 * Y3 * Y2 * Y3^2, Y3^-2 * Y1 * Y3^2 * Y1, Y2^-1 * Y3^4 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 7, 47)(4, 44, 14, 54)(5, 45, 9, 49)(6, 46, 19, 59)(8, 48, 18, 58)(10, 50, 12, 52)(11, 51, 21, 61)(13, 53, 31, 71)(15, 55, 23, 63)(16, 56, 33, 73)(17, 57, 25, 65)(20, 60, 26, 66)(22, 62, 28, 68)(24, 64, 35, 75)(27, 67, 36, 76)(29, 69, 40, 80)(30, 70, 34, 74)(32, 72, 38, 78)(37, 77, 39, 79)(81, 121, 83, 123, 91, 131, 107, 147, 95, 135, 110, 150, 100, 140, 112, 152, 97, 137, 85, 125)(82, 122, 87, 127, 101, 141, 116, 156, 103, 143, 114, 154, 106, 146, 118, 158, 105, 145, 89, 129)(84, 124, 92, 132, 108, 148, 119, 159, 115, 155, 98, 138, 86, 126, 93, 133, 109, 149, 96, 136)(88, 128, 99, 139, 111, 151, 120, 160, 113, 153, 94, 134, 90, 130, 102, 142, 117, 157, 104, 144)
	L = (1, 84)(2, 88)(3, 92)(4, 95)(5, 96)(6, 81)(7, 99)(8, 103)(9, 104)(10, 82)(11, 108)(12, 110)(13, 83)(14, 89)(15, 115)(16, 107)(17, 109)(18, 85)(19, 114)(20, 86)(21, 111)(22, 87)(23, 113)(24, 116)(25, 117)(26, 90)(27, 119)(28, 100)(29, 91)(30, 98)(31, 106)(32, 93)(33, 105)(34, 94)(35, 97)(36, 120)(37, 101)(38, 102)(39, 112)(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) :: { ( 20, 40, 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E26.390
Graph:: simple bipartite
	v = 24 e = 80 f = 6
	degree seq :: [ 4^20, 20^4 ]

E26.371 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 10, 20})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-2 * Y3^-2, (Y2, Y3^-1), (R * Y1)^2, Y3 * Y1 * Y2 * Y1, (R * Y2)^2, (R * Y3)^2, Y3^-4 * Y2^-4, Y2^-4 * Y3^6, Y2^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 10, 50)(4, 44, 9, 49)(5, 45, 8, 48)(6, 46, 7, 47)(11, 51, 16, 56)(12, 52, 17, 57)(13, 53, 18, 58)(14, 54, 19, 59)(15, 55, 20, 60)(21, 61, 26, 66)(22, 62, 25, 65)(23, 63, 28, 68)(24, 64, 27, 67)(29, 69, 33, 73)(30, 70, 34, 74)(31, 71, 35, 75)(32, 72, 36, 76)(37, 77, 40, 80)(38, 78, 39, 79)(81, 121, 83, 123, 91, 131, 101, 141, 109, 149, 117, 157, 111, 151, 104, 144, 94, 134, 85, 125)(82, 122, 87, 127, 96, 136, 105, 145, 113, 153, 119, 159, 115, 155, 108, 148, 99, 139, 89, 129)(84, 124, 92, 132, 86, 126, 93, 133, 102, 142, 110, 150, 118, 158, 112, 152, 103, 143, 95, 135)(88, 128, 97, 137, 90, 130, 98, 138, 106, 146, 114, 154, 120, 160, 116, 156, 107, 147, 100, 140)
	L = (1, 84)(2, 88)(3, 92)(4, 94)(5, 95)(6, 81)(7, 97)(8, 99)(9, 100)(10, 82)(11, 86)(12, 85)(13, 83)(14, 103)(15, 104)(16, 90)(17, 89)(18, 87)(19, 107)(20, 108)(21, 93)(22, 91)(23, 111)(24, 112)(25, 98)(26, 96)(27, 115)(28, 116)(29, 102)(30, 101)(31, 118)(32, 117)(33, 106)(34, 105)(35, 120)(36, 119)(37, 110)(38, 109)(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) :: { ( 20, 40, 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E26.386
Graph:: simple bipartite
	v = 24 e = 80 f = 6
	degree seq :: [ 4^20, 20^4 ]

E26.372 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 10, 20})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^-2 * Y2^-4, Y2^2 * Y3^-4, Y2^3 * Y1 * Y3^-1 * Y1, Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y1, Y2^-2 * Y1 * Y2^2 * Y1, Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y1 * Y2^-1 * Y1 * Y3 * Y2^-2, Y3^-1 * Y2^2 * Y1 * Y2 * Y1, Y2^-1 * Y3 * Y1 * Y3^-1 * Y2 * Y1, (Y2^-1 * Y1 * Y2 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 11, 51)(4, 44, 15, 55)(5, 45, 18, 58)(6, 46, 21, 61)(7, 47, 23, 63)(8, 48, 27, 67)(9, 49, 30, 70)(10, 50, 33, 73)(12, 52, 24, 64)(13, 53, 25, 65)(14, 54, 26, 66)(16, 56, 28, 68)(17, 57, 29, 69)(19, 59, 31, 71)(20, 60, 32, 72)(22, 62, 34, 74)(35, 75, 38, 78)(36, 76, 40, 80)(37, 77, 39, 79)(81, 121, 83, 123, 92, 132, 107, 147, 102, 142, 117, 157, 96, 136, 113, 153, 99, 139, 85, 125)(82, 122, 87, 127, 104, 144, 95, 135, 114, 154, 120, 160, 108, 148, 101, 141, 111, 151, 89, 129)(84, 124, 93, 133, 116, 156, 100, 140, 86, 126, 94, 134, 110, 150, 118, 158, 103, 143, 97, 137)(88, 128, 105, 145, 119, 159, 112, 152, 90, 130, 106, 146, 98, 138, 115, 155, 91, 131, 109, 149)
	L = (1, 84)(2, 88)(3, 93)(4, 96)(5, 97)(6, 81)(7, 105)(8, 108)(9, 109)(10, 82)(11, 114)(12, 116)(13, 113)(14, 83)(15, 112)(16, 110)(17, 117)(18, 104)(19, 103)(20, 85)(21, 115)(22, 86)(23, 102)(24, 119)(25, 101)(26, 87)(27, 100)(28, 98)(29, 120)(30, 92)(31, 91)(32, 89)(33, 118)(34, 90)(35, 95)(36, 99)(37, 94)(38, 107)(39, 111)(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) :: { ( 20, 40, 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E26.385
Graph:: simple bipartite
	v = 24 e = 80 f = 6
	degree seq :: [ 4^20, 20^4 ]

E26.373 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 10, 20})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y3 * Y2^2 * Y1, Y2^-1 * Y3^-4 * Y2^-1, Y3^-1 * Y2^-2 * Y1 * Y2^-1 * Y1, Y3^-1 * Y2^4 * Y3^-1, Y2^-2 * Y1 * Y2^2 * Y1, Y3^-1 * Y1 * Y2^-3 * Y1, (Y2^-2 * Y3)^2, Y3^2 * Y1 * Y3^-2 * Y1, (Y2^-1 * Y1 * Y2 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 11, 51)(4, 44, 15, 55)(5, 45, 18, 58)(6, 46, 21, 61)(7, 47, 23, 63)(8, 48, 27, 67)(9, 49, 30, 70)(10, 50, 33, 73)(12, 52, 24, 64)(13, 53, 25, 65)(14, 54, 26, 66)(16, 56, 28, 68)(17, 57, 29, 69)(19, 59, 31, 71)(20, 60, 32, 72)(22, 62, 34, 74)(35, 75, 38, 78)(36, 76, 40, 80)(37, 77, 39, 79)(81, 121, 83, 123, 92, 132, 113, 153, 96, 136, 117, 157, 102, 142, 107, 147, 99, 139, 85, 125)(82, 122, 87, 127, 104, 144, 101, 141, 108, 148, 120, 160, 114, 154, 95, 135, 111, 151, 89, 129)(84, 124, 93, 133, 110, 150, 118, 158, 103, 143, 100, 140, 86, 126, 94, 134, 116, 156, 97, 137)(88, 128, 105, 145, 98, 138, 115, 155, 91, 131, 112, 152, 90, 130, 106, 146, 119, 159, 109, 149)
	L = (1, 84)(2, 88)(3, 93)(4, 96)(5, 97)(6, 81)(7, 105)(8, 108)(9, 109)(10, 82)(11, 111)(12, 110)(13, 117)(14, 83)(15, 106)(16, 103)(17, 113)(18, 114)(19, 116)(20, 85)(21, 115)(22, 86)(23, 99)(24, 98)(25, 120)(26, 87)(27, 94)(28, 91)(29, 101)(30, 102)(31, 119)(32, 89)(33, 118)(34, 90)(35, 95)(36, 92)(37, 100)(38, 107)(39, 104)(40, 112)(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, 40, 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E26.387
Graph:: simple bipartite
	v = 24 e = 80 f = 6
	degree seq :: [ 4^20, 20^4 ]

E26.374 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 10, 20})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, Y3 * Y1 * Y3^-1 * Y1, (Y2^-1 * Y3^-1)^2, R * Y2 * Y1 * R * Y2, Y2^2 * Y1 * Y3^2, Y3^2 * Y1 * Y2^2, Y3^-1 * Y2^2 * Y3^-1 * Y2^2 * Y3^-1 * Y2^2 * Y3^-1, Y3^3 * Y2^-1 * Y3^3 * Y2^-3, Y2^10, (Y3 * Y2^-1)^10 ]
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, 20, 60)(12, 52, 14, 54)(13, 53, 19, 59)(15, 55, 18, 58)(16, 56, 17, 57)(21, 61, 24, 64)(22, 62, 23, 63)(25, 65, 28, 68)(26, 66, 27, 67)(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, 113, 153, 107, 147, 98, 138, 85, 125)(82, 122, 87, 127, 100, 140, 104, 144, 112, 152, 120, 160, 116, 156, 106, 146, 95, 135, 89, 129)(84, 124, 94, 134, 90, 130, 93, 133, 103, 143, 110, 150, 119, 159, 115, 155, 108, 148, 96, 136)(86, 126, 99, 139, 102, 142, 111, 151, 118, 158, 114, 154, 105, 145, 97, 137, 88, 128, 92, 132)
	L = (1, 84)(2, 88)(3, 92)(4, 95)(5, 97)(6, 81)(7, 94)(8, 98)(9, 96)(10, 82)(11, 90)(12, 89)(13, 83)(14, 85)(15, 105)(16, 107)(17, 106)(18, 108)(19, 87)(20, 86)(21, 99)(22, 91)(23, 100)(24, 93)(25, 113)(26, 115)(27, 114)(28, 116)(29, 103)(30, 101)(31, 104)(32, 102)(33, 119)(34, 120)(35, 117)(36, 118)(37, 111)(38, 109)(39, 112)(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) :: { ( 20, 40, 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E26.392
Graph:: simple bipartite
	v = 24 e = 80 f = 6
	degree seq :: [ 4^20, 20^4 ]

E26.375 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 10, 20})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|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^-1 * Y3^-1 * Y2 * Y3, R * Y2 * R * Y1 * Y2, Y3^-1 * Y1 * Y2^-1 * Y3 * Y2, Y3^-3 * Y2^2 * Y3^-1, Y2^2 * Y3 * Y2 * Y3 * Y2, Y3 * Y2^-6 * Y1 * Y3, (Y3 * Y2^-1)^10 ]
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, 23, 63)(12, 52, 14, 54)(13, 53, 20, 60)(15, 55, 24, 64)(16, 56, 17, 57)(18, 58, 25, 65)(19, 59, 21, 61)(22, 62, 26, 66)(27, 67, 38, 78)(28, 68, 30, 70)(29, 69, 32, 72)(31, 71, 34, 74)(33, 73, 35, 75)(36, 76, 37, 77)(39, 79, 40, 80)(81, 121, 83, 123, 91, 131, 107, 147, 106, 146, 115, 155, 104, 144, 114, 154, 98, 138, 85, 125)(82, 122, 87, 127, 103, 143, 118, 158, 102, 142, 113, 153, 95, 135, 111, 151, 105, 145, 89, 129)(84, 124, 94, 134, 108, 148, 99, 139, 90, 130, 93, 133, 112, 152, 119, 159, 116, 156, 96, 136)(86, 126, 100, 140, 109, 149, 120, 160, 117, 157, 97, 137, 88, 128, 92, 132, 110, 150, 101, 141)
	L = (1, 84)(2, 88)(3, 92)(4, 95)(5, 97)(6, 81)(7, 94)(8, 104)(9, 96)(10, 82)(11, 108)(12, 111)(13, 83)(14, 114)(15, 109)(16, 115)(17, 113)(18, 116)(19, 85)(20, 87)(21, 89)(22, 86)(23, 110)(24, 112)(25, 117)(26, 90)(27, 101)(28, 105)(29, 91)(30, 98)(31, 119)(32, 103)(33, 93)(34, 120)(35, 100)(36, 102)(37, 106)(38, 99)(39, 107)(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) :: { ( 20, 40, 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E26.391
Graph:: simple bipartite
	v = 24 e = 80 f = 6
	degree seq :: [ 4^20, 20^4 ]

E26.376 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 10, 20})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|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^-1 * Y3 * Y2 * Y3^-1, Y3 * Y1 * Y2 * Y3^-1 * Y2^-1, R * Y2 * R * Y1 * Y2, (Y3^2 * Y2)^2, Y2^3 * Y3^-1 * Y2 * Y3^-1, Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * 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, 23, 63)(12, 52, 14, 54)(13, 53, 20, 60)(15, 55, 24, 64)(16, 56, 17, 57)(18, 58, 25, 65)(19, 59, 21, 61)(22, 62, 26, 66)(27, 67, 36, 76)(28, 68, 30, 70)(29, 69, 32, 72)(31, 71, 34, 74)(33, 73, 37, 77)(35, 75, 38, 78)(39, 79, 40, 80)(81, 121, 83, 123, 91, 131, 107, 147, 104, 144, 114, 154, 106, 146, 117, 157, 98, 138, 85, 125)(82, 122, 87, 127, 103, 143, 116, 156, 95, 135, 111, 151, 102, 142, 113, 153, 105, 145, 89, 129)(84, 124, 94, 134, 108, 148, 120, 160, 118, 158, 99, 139, 90, 130, 93, 133, 112, 152, 96, 136)(86, 126, 100, 140, 109, 149, 97, 137, 88, 128, 92, 132, 110, 150, 119, 159, 115, 155, 101, 141)
	L = (1, 84)(2, 88)(3, 92)(4, 95)(5, 97)(6, 81)(7, 94)(8, 104)(9, 96)(10, 82)(11, 108)(12, 111)(13, 83)(14, 114)(15, 115)(16, 107)(17, 116)(18, 112)(19, 85)(20, 87)(21, 89)(22, 86)(23, 110)(24, 118)(25, 109)(26, 90)(27, 119)(28, 102)(29, 91)(30, 106)(31, 99)(32, 103)(33, 93)(34, 101)(35, 98)(36, 120)(37, 100)(38, 105)(39, 113)(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) :: { ( 20, 40, 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E26.393
Graph:: simple bipartite
	v = 24 e = 80 f = 6
	degree seq :: [ 4^20, 20^4 ]

E26.377 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 10, 20})
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^-2, (Y2, Y3), (R * Y3)^2, (Y2, Y1), (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1^-1)^2, Y3^-2 * Y2 * Y1^2, Y3^-1 * Y2^2 * Y3^-1 * Y2, Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1, Y1^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 25, 65, 33, 73, 40, 80, 38, 78, 37, 77, 20, 60, 5, 45)(3, 43, 9, 49, 16, 56, 28, 68, 39, 79, 35, 75, 24, 64, 21, 61, 6, 46, 11, 51)(4, 44, 15, 55, 26, 66, 12, 52, 32, 72, 30, 70, 22, 62, 27, 67, 14, 54, 17, 57)(7, 47, 23, 63, 18, 58, 34, 74, 13, 53, 31, 71, 36, 76, 19, 59, 29, 69, 10, 50)(81, 121, 83, 123, 88, 128, 96, 136, 113, 153, 119, 159, 118, 158, 104, 144, 100, 140, 86, 126)(82, 122, 89, 129, 105, 145, 108, 148, 120, 160, 115, 155, 117, 157, 101, 141, 85, 125, 91, 131)(84, 124, 93, 133, 106, 146, 116, 156, 112, 152, 109, 149, 102, 142, 87, 127, 94, 134, 98, 138)(90, 130, 107, 147, 103, 143, 97, 137, 114, 154, 95, 135, 111, 151, 92, 132, 99, 139, 110, 150)
	L = (1, 84)(2, 90)(3, 93)(4, 96)(5, 99)(6, 98)(7, 81)(8, 106)(9, 107)(10, 108)(11, 110)(12, 82)(13, 113)(14, 83)(15, 85)(16, 116)(17, 117)(18, 88)(19, 89)(20, 94)(21, 92)(22, 86)(23, 115)(24, 87)(25, 103)(26, 119)(27, 120)(28, 97)(29, 100)(30, 105)(31, 91)(32, 104)(33, 112)(34, 101)(35, 95)(36, 118)(37, 111)(38, 102)(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) :: { ( 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 E26.383
Graph:: bipartite
	v = 8 e = 80 f = 22
	degree seq :: [ 20^8 ]

E26.378 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 10, 20})
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 * Y3^2, (Y1^-1, Y2), (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2^-1)^2, Y1^-4 * Y2^-2, Y1^2 * Y2^-4, Y2^2 * Y3 * Y1^-2 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 24, 64, 21, 61, 31, 71, 13, 53, 29, 69, 19, 59, 5, 45)(3, 43, 9, 49, 25, 65, 20, 60, 6, 46, 11, 51, 27, 67, 40, 80, 36, 76, 15, 55)(4, 44, 16, 56, 26, 66, 12, 52, 22, 62, 39, 79, 33, 73, 35, 75, 37, 77, 17, 57)(7, 47, 23, 63, 28, 68, 32, 72, 38, 78, 34, 74, 14, 54, 18, 58, 30, 70, 10, 50)(81, 121, 83, 123, 93, 133, 107, 147, 88, 128, 105, 145, 99, 139, 116, 156, 101, 141, 86, 126)(82, 122, 89, 129, 109, 149, 120, 160, 104, 144, 100, 140, 85, 125, 95, 135, 111, 151, 91, 131)(84, 124, 94, 134, 113, 153, 108, 148, 106, 146, 110, 150, 117, 157, 118, 158, 102, 142, 87, 127)(90, 130, 97, 137, 114, 154, 119, 159, 103, 143, 96, 136, 98, 138, 115, 155, 112, 152, 92, 132)
	L = (1, 84)(2, 90)(3, 94)(4, 83)(5, 98)(6, 87)(7, 81)(8, 106)(9, 97)(10, 89)(11, 92)(12, 82)(13, 113)(14, 93)(15, 115)(16, 85)(17, 109)(18, 95)(19, 117)(20, 96)(21, 102)(22, 86)(23, 100)(24, 103)(25, 110)(26, 105)(27, 108)(28, 88)(29, 114)(30, 99)(31, 112)(32, 91)(33, 107)(34, 120)(35, 111)(36, 118)(37, 116)(38, 101)(39, 104)(40, 119)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.384
Graph:: bipartite
	v = 8 e = 80 f = 22
	degree seq :: [ 20^8 ]

E26.379 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 10, 20})
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 * Y3^2, (Y1^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, (R * Y2)^2, (Y2^-1, Y1^-1), Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y3, Y1^2 * Y3 * Y1^-2 * Y3^-1, Y2^-1 * Y1^-2 * Y2^-3, Y1^-3 * Y3^-1 * Y1 * Y3^-1, Y2^-1 * Y1^-2 * Y2^3 * Y1^-2, Y3^-1 * Y1 * Y3^-1 * Y1^7, (Y3 * Y2^-1)^20 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 24, 64, 13, 53, 29, 69, 22, 62, 32, 72, 20, 60, 5, 45)(3, 43, 9, 49, 25, 65, 40, 80, 33, 73, 21, 61, 6, 46, 11, 51, 27, 67, 14, 54)(4, 44, 16, 56, 26, 66, 12, 52, 15, 55, 35, 75, 38, 78, 39, 79, 36, 76, 17, 57)(7, 47, 23, 63, 28, 68, 30, 70, 34, 74, 37, 77, 18, 58, 19, 59, 31, 71, 10, 50)(81, 121, 83, 123, 93, 133, 113, 153, 100, 140, 107, 147, 88, 128, 105, 145, 102, 142, 86, 126)(82, 122, 89, 129, 109, 149, 101, 141, 85, 125, 94, 134, 104, 144, 120, 160, 112, 152, 91, 131)(84, 124, 87, 127, 95, 135, 114, 154, 116, 156, 111, 151, 106, 146, 108, 148, 118, 158, 98, 138)(90, 130, 92, 132, 110, 150, 119, 159, 99, 139, 96, 136, 103, 143, 115, 155, 117, 157, 97, 137)
	L = (1, 84)(2, 90)(3, 87)(4, 86)(5, 99)(6, 98)(7, 81)(8, 106)(9, 92)(10, 91)(11, 97)(12, 82)(13, 95)(14, 96)(15, 83)(16, 85)(17, 112)(18, 102)(19, 101)(20, 116)(21, 119)(22, 118)(23, 94)(24, 103)(25, 108)(26, 107)(27, 111)(28, 88)(29, 110)(30, 89)(31, 100)(32, 117)(33, 114)(34, 93)(35, 104)(36, 113)(37, 120)(38, 105)(39, 109)(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) :: { ( 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 E26.382
Graph:: bipartite
	v = 8 e = 80 f = 22
	degree seq :: [ 20^8 ]

E26.380 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 10, 20})
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^-2 * Y3^-2, (Y3^-1 * Y1^-1)^2, Y3 * Y2^-1 * Y1 * Y2, (Y3^-1, Y1), (R * Y1)^2, Y2^-1 * Y3^-1 * Y2 * Y1^-1, (R * Y3)^2, Y1^-2 * Y2^-2 * Y1^-2, Y2^3 * Y3^2 * Y2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1^-1)^20 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 23, 63, 22, 62, 32, 72, 14, 54, 28, 68, 17, 57, 5, 45)(3, 43, 13, 53, 24, 64, 19, 59, 6, 46, 21, 61, 25, 65, 39, 79, 35, 75, 16, 56)(4, 44, 10, 50, 7, 47, 12, 52, 26, 66, 38, 78, 34, 74, 40, 80, 33, 73, 18, 58)(9, 49, 27, 67, 20, 60, 30, 70, 11, 51, 31, 71, 37, 77, 36, 76, 15, 55, 29, 69)(81, 121, 83, 123, 94, 134, 105, 145, 88, 128, 104, 144, 97, 137, 115, 155, 102, 142, 86, 126)(82, 122, 89, 129, 108, 148, 117, 157, 103, 143, 100, 140, 85, 125, 95, 135, 112, 152, 91, 131)(84, 124, 96, 136, 114, 154, 101, 141, 87, 127, 93, 133, 113, 153, 119, 159, 106, 146, 99, 139)(90, 130, 109, 149, 120, 160, 111, 151, 92, 132, 107, 147, 98, 138, 116, 156, 118, 158, 110, 150)
	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, 114)(15, 115)(16, 116)(17, 113)(18, 108)(19, 107)(20, 104)(21, 110)(22, 106)(23, 92)(24, 89)(25, 91)(26, 88)(27, 93)(28, 120)(29, 96)(30, 99)(31, 101)(32, 118)(33, 94)(34, 102)(35, 117)(36, 119)(37, 105)(38, 103)(39, 111)(40, 112)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.381
Graph:: bipartite
	v = 8 e = 80 f = 22
	degree seq :: [ 20^8 ]

E26.381 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 10, 20})
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, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, Y1^-1 * Y2 * Y1 * Y2, Y3^-1 * Y2 * Y3 * Y2, Y1 * Y2 * Y3 * Y1^-1 * Y3^-1, Y2 * Y1^2 * Y3^-2, Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1 * Y3 * Y1, Y1^-5 * Y3^-2 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 21, 61, 29, 69, 37, 77, 36, 76, 28, 68, 20, 60, 12, 52, 3, 43, 8, 48, 15, 55, 24, 64, 32, 72, 40, 80, 33, 73, 25, 65, 17, 57, 5, 45)(4, 44, 14, 54, 22, 62, 31, 71, 38, 78, 35, 75, 26, 66, 19, 59, 6, 46, 16, 56, 11, 51, 9, 49, 23, 63, 30, 70, 39, 79, 34, 74, 27, 67, 18, 58, 13, 53, 10, 50)(81, 121, 83, 123)(82, 122, 88, 128)(84, 124, 91, 131)(85, 125, 92, 132)(86, 126, 93, 133)(87, 127, 95, 135)(89, 129, 94, 134)(90, 130, 96, 136)(97, 137, 100, 140)(98, 138, 99, 139)(101, 141, 104, 144)(102, 142, 103, 143)(105, 145, 108, 148)(106, 146, 107, 147)(109, 149, 112, 152)(110, 150, 111, 151)(113, 153, 116, 156)(114, 154, 115, 155)(117, 157, 120, 160)(118, 158, 119, 159)
	L = (1, 84)(2, 89)(3, 91)(4, 95)(5, 96)(6, 81)(7, 102)(8, 94)(9, 104)(10, 82)(11, 87)(12, 90)(13, 83)(14, 101)(15, 103)(16, 88)(17, 93)(18, 85)(19, 92)(20, 86)(21, 110)(22, 112)(23, 109)(24, 111)(25, 99)(26, 97)(27, 100)(28, 98)(29, 118)(30, 120)(31, 117)(32, 119)(33, 107)(34, 105)(35, 108)(36, 106)(37, 114)(38, 113)(39, 116)(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) :: { ( 20^4 ), ( 20^40 ) }
Outer automorphisms :: reflexible
Dual of E26.380
Graph:: bipartite
	v = 22 e = 80 f = 8
	degree seq :: [ 4^20, 40^2 ]

E26.382 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 10, 20})
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 * Y2 * Y3^-1 * Y2, (Y3 * Y1^-1)^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1^3 * Y2 * Y1 * Y3, Y3^2 * Y1 * Y3^-2 * Y1^-1, Y3 * Y1 * Y3 * Y1^-3, Y1^-2 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y2 * Y1^2 * Y3^2, Y2 * Y1^2 * Y2 * Y1^-2, Y3^-1 * Y2 * Y1^-1 * Y3^-2 * Y1^-1, (Y3 * Y1 * Y2 * Y1^-1)^5 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 23, 63, 38, 78, 37, 77, 12, 52, 28, 68, 22, 62, 34, 74, 40, 80, 35, 75, 16, 56, 32, 72, 14, 54, 30, 70, 39, 79, 36, 76, 19, 59, 5, 45)(3, 43, 11, 51, 24, 64, 20, 60, 33, 73, 10, 50, 4, 44, 15, 55, 25, 65, 17, 57, 29, 69, 8, 48, 27, 67, 21, 61, 6, 46, 18, 58, 26, 66, 9, 49, 31, 71, 13, 53)(81, 121, 83, 123)(82, 122, 88, 128)(84, 124, 92, 132)(85, 125, 97, 137)(86, 126, 94, 134)(87, 127, 104, 144)(89, 129, 108, 148)(90, 130, 110, 150)(91, 131, 115, 155)(93, 133, 114, 154)(95, 135, 116, 156)(96, 136, 107, 147)(98, 138, 117, 157)(99, 139, 111, 151)(100, 140, 112, 152)(101, 141, 103, 143)(102, 142, 105, 145)(106, 146, 119, 159)(109, 149, 120, 160)(113, 153, 118, 158)
	L = (1, 84)(2, 89)(3, 92)(4, 96)(5, 98)(6, 81)(7, 105)(8, 108)(9, 112)(10, 82)(11, 116)(12, 107)(13, 110)(14, 83)(15, 103)(16, 111)(17, 117)(18, 115)(19, 113)(20, 85)(21, 114)(22, 86)(23, 93)(24, 102)(25, 94)(26, 87)(27, 99)(28, 100)(29, 119)(30, 88)(31, 118)(32, 97)(33, 120)(34, 90)(35, 95)(36, 101)(37, 91)(38, 109)(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) :: { ( 20^4 ), ( 20^40 ) }
Outer automorphisms :: reflexible
Dual of E26.379
Graph:: bipartite
	v = 22 e = 80 f = 8
	degree seq :: [ 4^20, 40^2 ]

E26.383 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 10, 20})
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^-1 * Y2 * Y1^2, Y3^-1 * Y1^2 * Y2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y3^2 * Y1^-2 * Y3^-1, Y3^-1 * Y1 * Y3^2 * Y1^-1 * Y3^-1, Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1, Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-1, (Y3 * Y2)^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 19, 59, 15, 55, 24, 64, 36, 76, 30, 70, 40, 80, 29, 69, 39, 79, 27, 67, 37, 77, 28, 68, 38, 78, 32, 72, 18, 58, 26, 66, 13, 53, 5, 45)(3, 43, 11, 51, 4, 44, 14, 54, 20, 60, 35, 75, 33, 73, 16, 56, 25, 65, 10, 50, 22, 62, 8, 48, 21, 61, 9, 49, 23, 63, 34, 74, 31, 71, 17, 57, 6, 46, 12, 52)(81, 121, 83, 123)(82, 122, 88, 128)(84, 124, 87, 127)(85, 125, 90, 130)(86, 126, 93, 133)(89, 129, 99, 139)(91, 131, 107, 147)(92, 132, 109, 149)(94, 134, 108, 148)(95, 135, 100, 140)(96, 136, 106, 146)(97, 137, 110, 150)(98, 138, 111, 151)(101, 141, 117, 157)(102, 142, 119, 159)(103, 143, 118, 158)(104, 144, 114, 154)(105, 145, 120, 160)(112, 152, 115, 155)(113, 153, 116, 156)
	L = (1, 84)(2, 89)(3, 87)(4, 95)(5, 88)(6, 81)(7, 100)(8, 99)(9, 104)(10, 82)(11, 108)(12, 107)(13, 83)(14, 112)(15, 113)(16, 85)(17, 109)(18, 86)(19, 114)(20, 116)(21, 118)(22, 117)(23, 98)(24, 97)(25, 119)(26, 90)(27, 94)(28, 115)(29, 91)(30, 92)(31, 93)(32, 96)(33, 120)(34, 110)(35, 106)(36, 105)(37, 103)(38, 111)(39, 101)(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) :: { ( 20^4 ), ( 20^40 ) }
Outer automorphisms :: reflexible
Dual of E26.377
Graph:: bipartite
	v = 22 e = 80 f = 8
	degree seq :: [ 4^20, 40^2 ]

E26.384 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 10, 20})
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^-2 * Y3^-1 * Y2, Y1^-1 * Y2 * Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^-1 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y3^-1, Y1^-1 * Y3 * Y1^-1 * Y3^3, (Y1^-1 * Y3^-3)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1 * Y3, Y3^-1 * Y1^16 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 19, 59, 18, 58, 26, 66, 36, 76, 31, 71, 40, 80, 28, 68, 38, 78, 27, 67, 37, 77, 29, 69, 39, 79, 32, 72, 14, 54, 23, 63, 12, 52, 5, 45)(3, 43, 11, 51, 6, 46, 17, 57, 20, 60, 35, 75, 33, 73, 16, 56, 24, 64, 9, 49, 22, 62, 8, 48, 21, 61, 10, 50, 25, 65, 34, 74, 30, 70, 15, 55, 4, 44, 13, 53)(81, 121, 83, 123)(82, 122, 88, 128)(84, 124, 92, 132)(85, 125, 89, 129)(86, 126, 87, 127)(90, 130, 99, 139)(91, 131, 107, 147)(93, 133, 108, 148)(94, 134, 110, 150)(95, 135, 111, 151)(96, 136, 103, 143)(97, 137, 109, 149)(98, 138, 100, 140)(101, 141, 117, 157)(102, 142, 118, 158)(104, 144, 120, 160)(105, 145, 119, 159)(106, 146, 114, 154)(112, 152, 115, 155)(113, 153, 116, 156)
	L = (1, 84)(2, 89)(3, 92)(4, 94)(5, 96)(6, 81)(7, 83)(8, 85)(9, 103)(10, 82)(11, 108)(12, 110)(13, 111)(14, 105)(15, 106)(16, 112)(17, 107)(18, 86)(19, 88)(20, 87)(21, 118)(22, 120)(23, 115)(24, 116)(25, 117)(26, 90)(27, 93)(28, 95)(29, 91)(30, 119)(31, 114)(32, 97)(33, 98)(34, 99)(35, 109)(36, 100)(37, 102)(38, 104)(39, 101)(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) :: { ( 20^4 ), ( 20^40 ) }
Outer automorphisms :: reflexible
Dual of E26.378
Graph:: bipartite
	v = 22 e = 80 f = 8
	degree seq :: [ 4^20, 40^2 ]

E26.385 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 10, 20})
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, (Y3, Y1), (Y3 * Y1^-1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y1^-1 * Y3^2 * Y1^-1, (R * Y1)^2, (Y2^-1, Y1^-1), Y3 * Y2^2 * Y3 * Y1, Y1 * Y2 * Y1^2 * Y2, Y3^3 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * R * Y2^-1 * R * Y1^-1, Y2^-6 * Y1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 22, 62, 29, 69, 39, 79, 33, 73, 13, 53, 18, 58, 5, 45)(3, 43, 9, 49, 19, 59, 6, 46, 11, 51, 26, 66, 38, 78, 32, 72, 35, 75, 15, 55)(4, 44, 10, 50, 25, 65, 36, 76, 40, 80, 34, 74, 37, 77, 20, 60, 7, 47, 12, 52)(14, 54, 23, 63, 30, 70, 21, 61, 28, 68, 17, 57, 24, 64, 31, 71, 16, 56, 27, 67)(81, 121, 83, 123, 93, 133, 112, 152, 109, 149, 91, 131, 82, 122, 89, 129, 98, 138, 115, 155, 119, 159, 106, 146, 88, 128, 99, 139, 85, 125, 95, 135, 113, 153, 118, 158, 102, 142, 86, 126)(84, 124, 97, 137, 100, 140, 110, 150, 120, 160, 107, 147, 90, 130, 104, 144, 87, 127, 101, 141, 114, 154, 94, 134, 105, 145, 111, 151, 92, 132, 108, 148, 117, 157, 103, 143, 116, 156, 96, 136)
	L = (1, 84)(2, 90)(3, 94)(4, 88)(5, 92)(6, 101)(7, 81)(8, 105)(9, 103)(10, 102)(11, 108)(12, 82)(13, 100)(14, 99)(15, 107)(16, 83)(17, 112)(18, 87)(19, 110)(20, 85)(21, 106)(22, 116)(23, 86)(24, 115)(25, 109)(26, 97)(27, 89)(28, 118)(29, 120)(30, 91)(31, 95)(32, 111)(33, 117)(34, 93)(35, 96)(36, 119)(37, 98)(38, 104)(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, 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 E26.372
Graph:: bipartite
	v = 6 e = 80 f = 24
	degree seq :: [ 20^4, 40^2 ]

E26.386 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 10, 20})
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 * Y2^2, (Y3^-1 * Y2)^2, (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y3^2 * Y1^-4, Y3^-4 * Y1^-2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^2 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 24, 64, 16, 56, 28, 68, 23, 63, 31, 71, 18, 58, 5, 45)(3, 43, 6, 46, 10, 50, 26, 66, 33, 73, 38, 78, 36, 76, 39, 79, 35, 75, 13, 53)(4, 44, 9, 49, 25, 65, 40, 80, 32, 72, 19, 59, 7, 47, 11, 51, 27, 67, 17, 57)(12, 52, 20, 60, 22, 62, 30, 70, 37, 77, 15, 55, 14, 54, 21, 61, 29, 69, 34, 74)(81, 121, 83, 123, 85, 125, 93, 133, 98, 138, 115, 155, 111, 151, 119, 159, 103, 143, 116, 156, 108, 148, 118, 158, 96, 136, 113, 153, 104, 144, 106, 146, 88, 128, 90, 130, 82, 122, 86, 126)(84, 124, 95, 135, 97, 137, 117, 157, 107, 147, 110, 150, 91, 131, 102, 142, 87, 127, 100, 140, 99, 139, 92, 132, 112, 152, 114, 154, 120, 160, 109, 149, 105, 145, 101, 141, 89, 129, 94, 134)
	L = (1, 84)(2, 89)(3, 92)(4, 96)(5, 97)(6, 100)(7, 81)(8, 105)(9, 108)(10, 102)(11, 82)(12, 113)(13, 114)(14, 83)(15, 93)(16, 112)(17, 104)(18, 107)(19, 85)(20, 118)(21, 86)(22, 116)(23, 87)(24, 120)(25, 103)(26, 110)(27, 88)(28, 99)(29, 90)(30, 119)(31, 91)(32, 98)(33, 117)(34, 106)(35, 109)(36, 94)(37, 115)(38, 95)(39, 101)(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) :: { ( 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 E26.371
Graph:: bipartite
	v = 6 e = 80 f = 24
	degree seq :: [ 20^4, 40^2 ]

E26.387 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 10, 20})
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^-2, (Y3 * Y2^-1)^2, (R * Y1)^2, (Y1^-1, Y3), (R * Y3)^2, Y1^-2 * Y3^4, Y1^4 * Y3^2, (R * Y2 * Y3^-1)^2, Y1^3 * Y2 * Y3^2 * Y2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 24, 64, 23, 63, 31, 71, 15, 55, 30, 70, 17, 57, 5, 45)(3, 43, 9, 49, 25, 65, 39, 79, 33, 73, 34, 74, 32, 72, 36, 76, 18, 58, 6, 46)(4, 44, 10, 50, 26, 66, 19, 59, 7, 47, 11, 51, 27, 67, 40, 80, 35, 75, 16, 56)(12, 52, 28, 68, 37, 77, 21, 61, 13, 53, 14, 54, 29, 69, 38, 78, 22, 62, 20, 60)(81, 121, 83, 123, 82, 122, 89, 129, 88, 128, 105, 145, 104, 144, 119, 159, 103, 143, 113, 153, 111, 151, 114, 154, 95, 135, 112, 152, 110, 150, 116, 156, 97, 137, 98, 138, 85, 125, 86, 126)(84, 124, 94, 134, 90, 130, 109, 149, 106, 146, 118, 158, 99, 139, 102, 142, 87, 127, 100, 140, 91, 131, 92, 132, 107, 147, 108, 148, 120, 160, 117, 157, 115, 155, 101, 141, 96, 136, 93, 133)
	L = (1, 84)(2, 90)(3, 92)(4, 95)(5, 96)(6, 100)(7, 81)(8, 106)(9, 108)(10, 110)(11, 82)(12, 112)(13, 83)(14, 89)(15, 107)(16, 111)(17, 115)(18, 102)(19, 85)(20, 114)(21, 86)(22, 113)(23, 87)(24, 99)(25, 117)(26, 97)(27, 88)(28, 116)(29, 105)(30, 120)(31, 91)(32, 109)(33, 93)(34, 94)(35, 103)(36, 118)(37, 98)(38, 119)(39, 101)(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) :: { ( 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 E26.373
Graph:: bipartite
	v = 6 e = 80 f = 24
	degree seq :: [ 20^4, 40^2 ]

E26.388 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 10, 20})
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, Y3 * Y2 * Y1^-1 * Y2^-1, Y1^-1 * Y3^2 * Y1^-1, Y2 * Y3^-1 * Y1^-1 * Y2, Y1^-1 * Y2 * Y3 * Y2^-1, (Y2 * Y1^-1)^2, Y1^-1 * Y3^-1 * Y2^2, (Y3 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-4 * Y1^-1)^2, Y2^20, (Y3 * Y1)^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 19, 59, 29, 69, 37, 77, 33, 73, 25, 65, 15, 55, 5, 45)(3, 43, 13, 53, 20, 60, 32, 72, 38, 78, 34, 74, 28, 68, 16, 56, 24, 64, 11, 51)(4, 44, 10, 50, 21, 61, 31, 71, 39, 79, 35, 75, 27, 67, 17, 57, 7, 47, 12, 52)(6, 46, 14, 54, 22, 62, 9, 49, 23, 63, 30, 70, 40, 80, 36, 76, 26, 66, 18, 58)(81, 121, 83, 123, 90, 130, 103, 143, 109, 149, 118, 158, 115, 155, 106, 146, 95, 135, 104, 144, 92, 132, 102, 142, 88, 128, 100, 140, 111, 151, 120, 160, 113, 153, 108, 148, 97, 137, 86, 126)(82, 122, 89, 129, 101, 141, 112, 152, 117, 157, 116, 156, 107, 147, 96, 136, 85, 125, 94, 134, 84, 124, 93, 133, 99, 139, 110, 150, 119, 159, 114, 154, 105, 145, 98, 138, 87, 127, 91, 131)
	L = (1, 84)(2, 90)(3, 89)(4, 88)(5, 92)(6, 91)(7, 81)(8, 101)(9, 100)(10, 99)(11, 102)(12, 82)(13, 103)(14, 83)(15, 87)(16, 86)(17, 85)(18, 104)(19, 111)(20, 110)(21, 109)(22, 93)(23, 112)(24, 94)(25, 97)(26, 96)(27, 95)(28, 98)(29, 119)(30, 118)(31, 117)(32, 120)(33, 107)(34, 106)(35, 105)(36, 108)(37, 115)(38, 116)(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) :: { ( 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 E26.369
Graph:: bipartite
	v = 6 e = 80 f = 24
	degree seq :: [ 20^4, 40^2 ]

E26.389 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 10, 20})
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, (Y3, Y1), Y2^-2 * Y3^-1 * Y1, Y2^2 * Y3 * Y1^-1, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y3)^2, Y3^-4 * Y1^-2, Y1^2 * Y3^4, Y1^-1 * Y2^-1 * Y3^3 * Y2, Y2^-1 * Y1 * Y3 * Y1 * Y2 * Y1, Y3^2 * Y1^-4, Y2^-1 * Y1^2 * Y2 * Y1^-2, Y1^-2 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y2^-1 * Y1^-2 * Y2^-1, Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 26, 66, 17, 57, 35, 75, 25, 65, 38, 78, 20, 60, 5, 45)(3, 43, 13, 53, 27, 67, 23, 63, 34, 74, 21, 61, 37, 77, 11, 51, 32, 72, 15, 55)(4, 44, 10, 50, 28, 68, 40, 80, 39, 79, 22, 62, 7, 47, 12, 52, 30, 70, 18, 58)(6, 46, 14, 54, 29, 69, 19, 59, 33, 73, 9, 49, 31, 71, 16, 56, 36, 76, 24, 64)(81, 121, 83, 123, 92, 132, 116, 156, 100, 140, 112, 152, 102, 142, 111, 151, 105, 145, 117, 157, 120, 160, 113, 153, 97, 137, 114, 154, 90, 130, 109, 149, 88, 128, 107, 147, 98, 138, 86, 126)(82, 122, 89, 129, 110, 150, 101, 141, 85, 125, 99, 139, 87, 127, 103, 143, 118, 158, 94, 134, 119, 159, 93, 133, 115, 155, 104, 144, 108, 148, 95, 135, 106, 146, 96, 136, 84, 124, 91, 131)
	L = (1, 84)(2, 90)(3, 94)(4, 97)(5, 98)(6, 103)(7, 81)(8, 108)(9, 112)(10, 115)(11, 116)(12, 82)(13, 109)(14, 114)(15, 86)(16, 83)(17, 119)(18, 106)(19, 117)(20, 110)(21, 111)(22, 85)(23, 113)(24, 107)(25, 87)(26, 120)(27, 99)(28, 105)(29, 101)(30, 88)(31, 95)(32, 104)(33, 91)(34, 89)(35, 102)(36, 93)(37, 96)(38, 92)(39, 100)(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, 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 E26.368
Graph:: bipartite
	v = 6 e = 80 f = 24
	degree seq :: [ 20^4, 40^2 ]

E26.390 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 10, 20})
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^-1 * Y2^-2 * Y3^-1, (Y3^-1, Y1^-1), Y1^-1 * Y2^-2 * Y3^-1, (R * Y1)^2, (Y3 * Y2^-1)^2, Y3^-1 * Y1^-1 * Y2^-2, Y3^-1 * Y2^-2 * Y1^-1, (R * Y3)^2, Y3^-1 * Y1 * Y2 * Y3^2 * Y2, Y2^-1 * Y3^-3 * Y2 * Y1^-1, Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y1^-1 * Y2 * Y1^-1, Y1^2 * Y2 * Y1 * Y2^-1 * Y3^-1, Y1^-2 * Y3^-1 * Y1^-1 * Y2^2, Y2 * Y3^-1 * Y1^-1 * Y2 * Y1^-2, Y2^20 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 26, 66, 25, 65, 38, 78, 19, 59, 35, 75, 22, 62, 5, 45)(3, 43, 13, 53, 27, 67, 18, 58, 32, 72, 11, 51, 36, 76, 24, 64, 34, 74, 16, 56)(4, 44, 10, 50, 28, 68, 14, 54, 7, 47, 12, 52, 30, 70, 40, 80, 39, 79, 20, 60)(6, 46, 23, 63, 29, 69, 17, 57, 37, 77, 21, 61, 33, 73, 9, 49, 31, 71, 15, 55)(81, 121, 83, 123, 94, 134, 109, 149, 88, 128, 107, 147, 92, 132, 117, 157, 105, 145, 112, 152, 120, 160, 113, 153, 99, 139, 116, 156, 100, 140, 111, 151, 102, 142, 114, 154, 90, 130, 86, 126)(82, 122, 89, 129, 87, 127, 104, 144, 106, 146, 95, 135, 110, 150, 96, 136, 118, 158, 103, 143, 119, 159, 93, 133, 115, 155, 97, 137, 84, 124, 98, 138, 85, 125, 101, 141, 108, 148, 91, 131)
	L = (1, 84)(2, 90)(3, 95)(4, 99)(5, 100)(6, 104)(7, 81)(8, 108)(9, 112)(10, 115)(11, 117)(12, 82)(13, 86)(14, 85)(15, 116)(16, 111)(17, 83)(18, 109)(19, 110)(20, 118)(21, 107)(22, 119)(23, 114)(24, 113)(25, 87)(26, 94)(27, 103)(28, 102)(29, 96)(30, 88)(31, 91)(32, 97)(33, 98)(34, 89)(35, 120)(36, 101)(37, 93)(38, 92)(39, 105)(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) :: { ( 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 E26.370
Graph:: bipartite
	v = 6 e = 80 f = 24
	degree seq :: [ 20^4, 40^2 ]

E26.391 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 10, 20})
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 * Y3^2 * Y2^-1, (Y1 * Y3^-1)^2, Y3 * Y1 * Y2^-1 * Y1^-1, Y2^-1 * Y1^2 * Y3^-1, Y1^-1 * Y3 * Y2 * Y1^-1, (R * Y2)^2, (Y3, Y2), (R * Y3)^2, (R * Y1)^2, Y3^-2 * Y1^-1 * Y2^2 * Y1, Y3^-1 * Y2 * Y1 * Y3 * Y2^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y3^-1 * Y2^-1 * Y1^-2 * Y2^-1 * Y3^-1 * Y1^-4, Y3^2 * Y2^18 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 19, 59, 29, 69, 37, 77, 33, 73, 25, 65, 15, 55, 5, 45)(3, 43, 10, 50, 20, 60, 31, 71, 38, 78, 34, 74, 27, 67, 16, 56, 7, 47, 11, 51)(4, 44, 9, 49, 21, 61, 30, 70, 39, 79, 35, 75, 26, 66, 17, 57, 6, 46, 12, 52)(13, 53, 22, 62, 32, 72, 40, 80, 36, 76, 28, 68, 18, 58, 24, 64, 14, 54, 23, 63)(81, 121, 83, 123, 93, 133, 101, 141, 109, 149, 118, 158, 116, 156, 106, 146, 95, 135, 87, 127, 94, 134, 84, 124, 88, 128, 100, 140, 112, 152, 119, 159, 113, 153, 107, 147, 98, 138, 86, 126)(82, 122, 89, 129, 102, 142, 111, 151, 117, 157, 115, 155, 108, 148, 96, 136, 85, 125, 92, 132, 103, 143, 90, 130, 99, 139, 110, 150, 120, 160, 114, 154, 105, 145, 97, 137, 104, 144, 91, 131)
	L = (1, 84)(2, 90)(3, 88)(4, 93)(5, 91)(6, 94)(7, 81)(8, 101)(9, 99)(10, 102)(11, 103)(12, 82)(13, 100)(14, 83)(15, 86)(16, 104)(17, 85)(18, 87)(19, 111)(20, 109)(21, 112)(22, 110)(23, 89)(24, 92)(25, 96)(26, 98)(27, 95)(28, 97)(29, 119)(30, 117)(31, 120)(32, 118)(33, 106)(34, 108)(35, 105)(36, 107)(37, 114)(38, 113)(39, 116)(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) :: { ( 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 E26.375
Graph:: bipartite
	v = 6 e = 80 f = 24
	degree seq :: [ 20^4, 40^2 ]

E26.392 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 10, 20})
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, Y2^-1 * Y1^-1 * Y3 * Y1, (Y2, Y3), (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y3 * Y1^-1, (R * Y2)^2, Y1^-1 * Y3^-2 * Y2^-1 * Y1^-1 * Y3^-1, Y3^-1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y1, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-2, Y1 * Y2 * Y1 * Y3^3, Y3 * Y2 * Y1 * Y3 * Y1 * Y3, Y1^-2 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3, Y2^20 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 23, 63, 14, 54, 29, 69, 22, 62, 32, 72, 18, 58, 5, 45)(3, 43, 10, 50, 24, 64, 38, 78, 34, 74, 19, 59, 7, 47, 11, 51, 27, 67, 15, 55)(4, 44, 9, 49, 25, 65, 37, 77, 33, 73, 20, 60, 6, 46, 12, 52, 26, 66, 17, 57)(13, 53, 28, 68, 21, 61, 31, 71, 40, 80, 36, 76, 16, 56, 30, 70, 39, 79, 35, 75)(81, 121, 83, 123, 93, 133, 113, 153, 98, 138, 107, 147, 119, 159, 105, 145, 102, 142, 87, 127, 96, 136, 84, 124, 94, 134, 114, 154, 120, 160, 106, 146, 88, 128, 104, 144, 101, 141, 86, 126)(82, 122, 89, 129, 108, 148, 99, 139, 85, 125, 97, 137, 115, 155, 118, 158, 112, 152, 92, 132, 110, 150, 90, 130, 109, 149, 100, 140, 116, 156, 95, 135, 103, 143, 117, 157, 111, 151, 91, 131)
	L = (1, 84)(2, 90)(3, 94)(4, 93)(5, 95)(6, 96)(7, 81)(8, 105)(9, 109)(10, 108)(11, 110)(12, 82)(13, 114)(14, 113)(15, 115)(16, 83)(17, 103)(18, 106)(19, 116)(20, 85)(21, 87)(22, 86)(23, 118)(24, 102)(25, 101)(26, 119)(27, 88)(28, 100)(29, 99)(30, 89)(31, 92)(32, 91)(33, 120)(34, 98)(35, 117)(36, 97)(37, 112)(38, 111)(39, 104)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.374
Graph:: bipartite
	v = 6 e = 80 f = 24
	degree seq :: [ 20^4, 40^2 ]

E26.393 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 10, 20})
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 * Y2)^2, Y1 * Y2 * Y1^-1 * Y3^-1, (Y2^-1 * Y3)^2, Y1^-1 * Y2^-1 * Y1 * Y3, (R * Y1)^2, (Y2^-1, Y3^-1), (R * Y3)^2, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2, Y1 * Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1, Y2 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, (Y1^-1 * Y2 * Y3)^2, Y3^-1 * Y2 * Y1^-2 * Y2^-2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 23, 63, 22, 62, 32, 72, 14, 54, 29, 69, 18, 58, 5, 45)(3, 43, 10, 50, 24, 64, 19, 59, 7, 47, 11, 51, 27, 67, 37, 77, 33, 73, 15, 55)(4, 44, 9, 49, 25, 65, 20, 60, 6, 46, 12, 52, 26, 66, 38, 78, 35, 75, 17, 57)(13, 53, 28, 68, 39, 79, 34, 74, 16, 56, 30, 70, 40, 80, 36, 76, 21, 61, 31, 71)(81, 121, 83, 123, 93, 133, 106, 146, 88, 128, 104, 144, 119, 159, 115, 155, 102, 142, 87, 127, 96, 136, 84, 124, 94, 134, 107, 147, 120, 160, 105, 145, 98, 138, 113, 153, 101, 141, 86, 126)(82, 122, 89, 129, 108, 148, 117, 157, 103, 143, 100, 140, 114, 154, 95, 135, 112, 152, 92, 132, 110, 150, 90, 130, 109, 149, 118, 158, 116, 156, 99, 139, 85, 125, 97, 137, 111, 151, 91, 131)
	L = (1, 84)(2, 90)(3, 94)(4, 93)(5, 95)(6, 96)(7, 81)(8, 105)(9, 109)(10, 108)(11, 110)(12, 82)(13, 107)(14, 106)(15, 111)(16, 83)(17, 112)(18, 115)(19, 114)(20, 85)(21, 87)(22, 86)(23, 99)(24, 98)(25, 119)(26, 120)(27, 88)(28, 118)(29, 117)(30, 89)(31, 92)(32, 91)(33, 102)(34, 97)(35, 101)(36, 100)(37, 116)(38, 103)(39, 113)(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) :: { ( 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 E26.376
Graph:: bipartite
	v = 6 e = 80 f = 24
	degree seq :: [ 20^4, 40^2 ]

E26.394 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 10, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3^-1), Y2^-1 * Y1 * Y2 * Y1, (R * Y2)^2, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y1, (R * Y1)^2, Y2^4 * Y1, Y3^3 * Y2^-1 * Y3^2, Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2 * Y3^-1 ]
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, 16, 56)(12, 52, 19, 59)(13, 53, 20, 60)(14, 54, 21, 61)(15, 55, 22, 62)(17, 57, 23, 63)(18, 58, 24, 64)(25, 65, 30, 70)(26, 66, 31, 71)(27, 67, 33, 73)(28, 68, 34, 74)(29, 69, 35, 75)(32, 72, 36, 76)(37, 77, 39, 79)(38, 78, 40, 80)(81, 121, 83, 123, 91, 131, 89, 129, 82, 122, 87, 127, 96, 136, 85, 125)(84, 124, 92, 132, 105, 145, 102, 142, 88, 128, 99, 139, 110, 150, 95, 135)(86, 126, 93, 133, 106, 146, 103, 143, 90, 130, 100, 140, 111, 151, 97, 137)(94, 134, 107, 147, 117, 157, 115, 155, 101, 141, 113, 153, 119, 159, 109, 149)(98, 138, 108, 148, 118, 158, 116, 156, 104, 144, 114, 154, 120, 160, 112, 152)
	L = (1, 84)(2, 88)(3, 92)(4, 94)(5, 95)(6, 81)(7, 99)(8, 101)(9, 102)(10, 82)(11, 105)(12, 107)(13, 83)(14, 108)(15, 109)(16, 110)(17, 85)(18, 86)(19, 113)(20, 87)(21, 114)(22, 115)(23, 89)(24, 90)(25, 117)(26, 91)(27, 118)(28, 93)(29, 98)(30, 119)(31, 96)(32, 97)(33, 120)(34, 100)(35, 104)(36, 103)(37, 116)(38, 106)(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) :: { ( 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 E26.397
Graph:: bipartite
	v = 25 e = 80 f = 5
	degree seq :: [ 4^20, 16^5 ]

E26.395 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 10, 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 * Y3^-3, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y1^-2 * Y3^-2, (Y3, Y2), (R * Y2)^2, (Y1^-1, Y2^-1), (R * Y3)^2, Y3 * Y2 * Y1 * Y3^-1 * Y1^-1 * Y2^-1, Y1 * Y2^-1 * Y3 * Y1 * Y3 * Y2, Y2^2 * Y1 * Y3 * Y2^3, Y1 * 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 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 4, 44, 10, 50, 7, 47, 12, 52, 5, 45)(3, 43, 9, 49, 21, 61, 14, 54, 24, 64, 16, 56, 25, 65, 15, 55)(6, 46, 11, 51, 22, 62, 17, 57, 26, 66, 20, 60, 28, 68, 18, 58)(13, 53, 23, 63, 37, 77, 30, 70, 35, 75, 32, 72, 39, 79, 31, 71)(19, 59, 27, 67, 38, 78, 33, 73, 29, 69, 36, 76, 40, 80, 34, 74)(81, 121, 83, 123, 93, 133, 109, 149, 106, 146, 90, 130, 104, 144, 115, 155, 99, 139, 86, 126)(82, 122, 89, 129, 103, 143, 116, 156, 100, 140, 87, 127, 96, 136, 112, 152, 107, 147, 91, 131)(84, 124, 94, 134, 110, 150, 114, 154, 98, 138, 85, 125, 95, 135, 111, 151, 113, 153, 97, 137)(88, 128, 101, 141, 117, 157, 120, 160, 108, 148, 92, 132, 105, 145, 119, 159, 118, 158, 102, 142)
	L = (1, 84)(2, 90)(3, 94)(4, 92)(5, 88)(6, 97)(7, 81)(8, 87)(9, 104)(10, 85)(11, 106)(12, 82)(13, 110)(14, 105)(15, 101)(16, 83)(17, 108)(18, 102)(19, 113)(20, 86)(21, 96)(22, 100)(23, 115)(24, 95)(25, 89)(26, 98)(27, 109)(28, 91)(29, 114)(30, 119)(31, 117)(32, 93)(33, 120)(34, 118)(35, 111)(36, 99)(37, 112)(38, 116)(39, 103)(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, 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 E26.396
Graph:: bipartite
	v = 9 e = 80 f = 21
	degree seq :: [ 16^5, 20^4 ]

E26.396 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 10, 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 * Y1)^2, (R * Y2)^2, Y3^-1 * Y2 * Y3 * Y2, Y3^-4 * Y2, Y3^-1 * Y1^-5, Y1 * Y2 * Y3^-1 * Y1^3 * Y3^-2 * Y1, Y1 * Y2 * Y3 * Y1^2 * Y2 * Y1^-2 * Y3 * Y1^3 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 19, 59, 17, 57, 6, 46, 10, 50, 22, 62, 34, 74, 32, 72, 18, 58, 26, 66, 38, 78, 39, 79, 27, 67, 11, 51, 23, 63, 35, 75, 28, 68, 12, 52, 3, 43, 8, 48, 20, 60, 33, 73, 29, 69, 13, 53, 24, 64, 36, 76, 40, 80, 30, 70, 14, 54, 25, 65, 37, 77, 31, 71, 15, 55, 4, 44, 9, 49, 21, 61, 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, 98, 138)(95, 135, 107, 147)(96, 136, 108, 148)(97, 137, 109, 149)(99, 139, 113, 153)(101, 141, 115, 155)(102, 142, 116, 156)(105, 145, 106, 146)(110, 150, 112, 152)(111, 151, 119, 159)(114, 154, 120, 160)(117, 157, 118, 158)
	L = (1, 84)(2, 89)(3, 91)(4, 94)(5, 95)(6, 81)(7, 101)(8, 103)(9, 105)(10, 82)(11, 98)(12, 107)(13, 83)(14, 93)(15, 110)(16, 111)(17, 85)(18, 86)(19, 96)(20, 115)(21, 117)(22, 87)(23, 106)(24, 88)(25, 104)(26, 90)(27, 112)(28, 119)(29, 92)(30, 109)(31, 120)(32, 97)(33, 108)(34, 99)(35, 118)(36, 100)(37, 116)(38, 102)(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) :: { ( 16, 20, 16, 20 ), ( 16, 20, 16, 20, 16, 20, 16, 20, 16, 20, 16, 20, 16, 20, 16, 20, 16, 20, 16, 20, 16, 20, 16, 20, 16, 20, 16, 20, 16, 20, 16, 20, 16, 20, 16, 20, 16, 20, 16, 20, 16, 20, 16, 20, 16, 20, 16, 20, 16, 20, 16, 20, 16, 20, 16, 20, 16, 20, 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 E26.395
Graph:: bipartite
	v = 21 e = 80 f = 9
	degree seq :: [ 4^20, 80 ]

E26.397 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 10, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y2^-1)^2, Y2^-1 * Y3^2 * Y2^-1, (Y2^-1, Y1), (Y3, Y2), (Y1^-1, Y3^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3 * Y1^-1 * Y3 * Y2^2, Y2^-1 * Y1^-3 * Y3 * Y1^-2, 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, Y2^36 * Y1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 23, 63, 32, 72, 16, 56, 30, 70, 34, 74, 18, 58, 5, 45)(3, 43, 9, 49, 24, 64, 33, 73, 17, 57, 4, 44, 10, 50, 25, 65, 31, 71, 15, 55)(6, 46, 11, 51, 26, 66, 36, 76, 20, 60, 7, 47, 12, 52, 27, 67, 35, 75, 19, 59)(13, 53, 28, 68, 39, 79, 38, 78, 22, 62, 14, 54, 29, 69, 40, 80, 37, 77, 21, 61)(81, 121, 83, 123, 93, 133, 91, 131, 82, 122, 89, 129, 108, 148, 106, 146, 88, 128, 104, 144, 119, 159, 116, 156, 103, 143, 113, 153, 118, 158, 100, 140, 112, 152, 97, 137, 102, 142, 87, 127, 96, 136, 84, 124, 94, 134, 92, 132, 110, 150, 90, 130, 109, 149, 107, 147, 114, 154, 105, 145, 120, 160, 115, 155, 98, 138, 111, 151, 117, 157, 99, 139, 85, 125, 95, 135, 101, 141, 86, 126)
	L = (1, 84)(2, 90)(3, 94)(4, 93)(5, 97)(6, 96)(7, 81)(8, 105)(9, 109)(10, 108)(11, 110)(12, 82)(13, 92)(14, 91)(15, 102)(16, 83)(17, 101)(18, 113)(19, 112)(20, 85)(21, 87)(22, 86)(23, 111)(24, 120)(25, 119)(26, 114)(27, 88)(28, 107)(29, 106)(30, 89)(31, 118)(32, 95)(33, 117)(34, 104)(35, 103)(36, 98)(37, 100)(38, 99)(39, 115)(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) :: { ( 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, 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 E26.394
Graph:: bipartite
	v = 5 e = 80 f = 25
	degree seq :: [ 20^4, 80 ]

E26.398 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 10, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1, Y2 * Y3^4, Y2^5 * Y1, Y2^-1 * Y3^2 * 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)(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, 117, 157, 103, 143, 88, 128, 100, 140, 113, 153, 111, 151, 95, 135)(86, 126, 93, 133, 108, 148, 118, 158, 105, 145, 90, 130, 101, 141, 114, 154, 112, 152, 97, 137)(94, 134, 98, 138, 109, 149, 119, 159, 116, 156, 102, 142, 106, 146, 115, 155, 120, 160, 110, 150)
	L = (1, 84)(2, 88)(3, 92)(4, 94)(5, 95)(6, 81)(7, 100)(8, 102)(9, 103)(10, 82)(11, 107)(12, 98)(13, 83)(14, 97)(15, 110)(16, 111)(17, 85)(18, 86)(19, 113)(20, 106)(21, 87)(22, 105)(23, 116)(24, 117)(25, 89)(26, 90)(27, 109)(28, 91)(29, 93)(30, 112)(31, 120)(32, 96)(33, 115)(34, 99)(35, 101)(36, 118)(37, 119)(38, 104)(39, 108)(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) :: { ( 16, 80, 16, 80 ), ( 16, 80, 16, 80, 16, 80, 16, 80, 16, 80, 16, 80, 16, 80, 16, 80, 16, 80, 16, 80 ) }
Outer automorphisms :: reflexible
Dual of E26.399
Graph:: bipartite
	v = 24 e = 80 f = 6
	degree seq :: [ 4^20, 20^4 ]

E26.399 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 10, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3^2, (Y3^-1, Y1^-1), (Y3^-1 * Y1^-1)^2, Y3 * Y1^-1 * Y3^2, (Y2^-1, Y1^-1), (R * Y2)^2, (Y3, Y2), (R * Y1)^2, (R * Y3)^2, Y3 * Y2^-5, Y2^2 * Y1^-1 * Y3 * Y2^-2 * Y1^-2, Y1 * Y2 * 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, 4, 44, 10, 50, 7, 47, 12, 52, 5, 45)(3, 43, 9, 49, 21, 61, 14, 54, 24, 64, 16, 56, 25, 65, 15, 55)(6, 46, 11, 51, 22, 62, 17, 57, 26, 66, 20, 60, 28, 68, 18, 58)(13, 53, 23, 63, 35, 75, 30, 70, 38, 78, 32, 72, 39, 79, 31, 71)(19, 59, 27, 67, 36, 76, 29, 69, 37, 77, 34, 74, 40, 80, 33, 73)(81, 121, 83, 123, 93, 133, 109, 149, 97, 137, 84, 124, 94, 134, 110, 150, 120, 160, 108, 148, 92, 132, 105, 145, 119, 159, 107, 147, 91, 131, 82, 122, 89, 129, 103, 143, 117, 157, 106, 146, 90, 130, 104, 144, 118, 158, 113, 153, 98, 138, 85, 125, 95, 135, 111, 151, 116, 156, 102, 142, 88, 128, 101, 141, 115, 155, 114, 154, 100, 140, 87, 127, 96, 136, 112, 152, 99, 139, 86, 126)
	L = (1, 84)(2, 90)(3, 94)(4, 92)(5, 88)(6, 97)(7, 81)(8, 87)(9, 104)(10, 85)(11, 106)(12, 82)(13, 110)(14, 105)(15, 101)(16, 83)(17, 108)(18, 102)(19, 109)(20, 86)(21, 96)(22, 100)(23, 118)(24, 95)(25, 89)(26, 98)(27, 117)(28, 91)(29, 120)(30, 119)(31, 115)(32, 93)(33, 116)(34, 99)(35, 112)(36, 114)(37, 113)(38, 111)(39, 103)(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, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.398
Graph:: bipartite
	v = 6 e = 80 f = 24
	degree seq :: [ 16^5, 80 ]

E26.400 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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, (Y2, Y3^-1), Y3^-1 * Y1 * Y3 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y1 * Y2 * Y1, Y2^5, Y1 * Y3^4 * Y2^-1, Y2^-1 * Y3^-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 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
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, 96, 136, 85, 125)(82, 122, 87, 127, 99, 139, 104, 144, 89, 129)(84, 124, 92, 132, 107, 147, 110, 150, 95, 135)(86, 126, 93, 133, 108, 148, 111, 151, 97, 137)(88, 128, 100, 140, 113, 153, 116, 156, 103, 143)(90, 130, 101, 141, 114, 154, 117, 157, 105, 145)(94, 134, 109, 149, 119, 159, 118, 158, 106, 146)(98, 138, 102, 142, 115, 155, 120, 160, 112, 152)
	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, 101)(15, 106)(16, 110)(17, 85)(18, 86)(19, 113)(20, 115)(21, 87)(22, 93)(23, 98)(24, 116)(25, 89)(26, 90)(27, 119)(28, 91)(29, 114)(30, 118)(31, 96)(32, 97)(33, 120)(34, 99)(35, 108)(36, 112)(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 ), ( 80^10 ) }
Outer automorphisms :: reflexible
Dual of E26.407
Graph:: simple bipartite
	v = 28 e = 80 f = 2
	degree seq :: [ 4^20, 10^8 ]

E26.401 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 40, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3^-2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (Y2^-1, Y1^-1), (Y2, Y3^-1), Y3^-3 * Y1 * Y3^-1, Y3^-1 * Y2^4, Y2 * Y3 * Y2 * Y1 * Y2^2 * Y1, Y2 * Y1^-1 * Y2 * Y3 * Y2^2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 17, 57, 5, 45)(3, 43, 9, 49, 23, 63, 33, 73, 15, 55)(4, 44, 10, 50, 7, 47, 12, 52, 18, 58)(6, 46, 11, 51, 24, 64, 35, 75, 20, 60)(13, 53, 25, 65, 38, 78, 40, 80, 32, 72)(14, 54, 26, 66, 16, 56, 27, 67, 34, 74)(19, 59, 28, 68, 22, 62, 30, 70, 36, 76)(21, 61, 29, 69, 39, 79, 31, 71, 37, 77)(81, 121, 83, 123, 93, 133, 99, 139, 84, 124, 94, 134, 111, 151, 115, 155, 97, 137, 113, 153, 120, 160, 110, 150, 92, 132, 107, 147, 109, 149, 91, 131, 82, 122, 89, 129, 105, 145, 108, 148, 90, 130, 106, 146, 117, 157, 100, 140, 85, 125, 95, 135, 112, 152, 116, 156, 98, 138, 114, 154, 119, 159, 104, 144, 88, 128, 103, 143, 118, 158, 102, 142, 87, 127, 96, 136, 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, 111)(14, 113)(15, 114)(16, 83)(17, 92)(18, 88)(19, 115)(20, 116)(21, 93)(22, 86)(23, 96)(24, 102)(25, 117)(26, 95)(27, 89)(28, 100)(29, 105)(30, 91)(31, 120)(32, 119)(33, 107)(34, 103)(35, 110)(36, 104)(37, 112)(38, 101)(39, 118)(40, 109)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.406
Graph:: bipartite
	v = 9 e = 80 f = 21
	degree seq :: [ 10^8, 80 ]

E26.402 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 40, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ R^2, (Y1, Y2), (Y3^-1 * Y1^-1)^2, (Y3^-1, Y1^-1), (R * Y2)^2, (Y3^-1, Y2^-1), Y3 * Y1^2 * Y3, (R * Y3)^2, (R * Y1)^2, Y3^-3 * Y1 * Y3^-1, Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2^-1, Y1^-1 * Y3 * Y2^-4, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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, 41, 2, 42, 8, 48, 17, 57, 5, 45)(3, 43, 9, 49, 23, 63, 35, 75, 15, 55)(4, 44, 10, 50, 7, 47, 12, 52, 18, 58)(6, 46, 11, 51, 24, 64, 37, 77, 20, 60)(13, 53, 25, 65, 39, 79, 38, 78, 33, 73)(14, 54, 26, 66, 16, 56, 27, 67, 36, 76)(19, 59, 28, 68, 22, 62, 30, 70, 31, 71)(21, 61, 29, 69, 32, 72, 40, 80, 34, 74)(81, 121, 83, 123, 93, 133, 111, 151, 98, 138, 116, 156, 109, 149, 91, 131, 82, 122, 89, 129, 105, 145, 99, 139, 84, 124, 94, 134, 112, 152, 104, 144, 88, 128, 103, 143, 119, 159, 108, 148, 90, 130, 106, 146, 120, 160, 117, 157, 97, 137, 115, 155, 118, 158, 102, 142, 87, 127, 96, 136, 114, 154, 100, 140, 85, 125, 95, 135, 113, 153, 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, 92)(18, 88)(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, 104)(32, 118)(33, 109)(34, 93)(35, 107)(36, 103)(37, 110)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.405
Graph:: bipartite
	v = 9 e = 80 f = 21
	degree seq :: [ 10^8, 80 ]

E26.403 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 40, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ R^2, (Y1 * Y3)^2, (Y2, Y3), (Y2^-1, Y1), (R * Y1)^2, (R * Y2)^2, Y3^-2 * Y1^-2, (R * Y3)^2, Y3^-2 * Y1^3, Y2^3 * Y1^-1 * Y2 * Y3, Y2 * Y1 * Y2 * Y3^-1 * Y2^2 * Y1, (Y2^-1 * Y3)^40 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 17, 57, 5, 45)(3, 43, 9, 49, 23, 63, 33, 73, 15, 55)(4, 44, 10, 50, 7, 47, 12, 52, 18, 58)(6, 46, 11, 51, 24, 64, 35, 75, 20, 60)(13, 53, 25, 65, 37, 77, 40, 80, 31, 71)(14, 54, 26, 66, 16, 56, 27, 67, 34, 74)(19, 59, 28, 68, 22, 62, 30, 70, 36, 76)(21, 61, 29, 69, 39, 79, 32, 72, 38, 78)(81, 121, 83, 123, 93, 133, 110, 150, 92, 132, 107, 147, 118, 158, 100, 140, 85, 125, 95, 135, 111, 151, 102, 142, 87, 127, 96, 136, 112, 152, 115, 155, 97, 137, 113, 153, 120, 160, 108, 148, 90, 130, 106, 146, 119, 159, 104, 144, 88, 128, 103, 143, 117, 157, 99, 139, 84, 124, 94, 134, 109, 149, 91, 131, 82, 122, 89, 129, 105, 145, 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, 92)(18, 88)(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, 107)(34, 103)(35, 110)(36, 104)(37, 112)(38, 105)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.404
Graph:: bipartite
	v = 9 e = 80 f = 21
	degree seq :: [ 10^8, 80 ]

E26.404 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), Y3 * Y2 * Y3^-1 * Y2, Y1^-1 * Y2 * Y1 * Y2, Y1 * Y3 * Y1^3, Y3^5 * Y2, Y3^-1 * Y1 * Y3^-1 * Y1^2 * Y3^-2 * Y1 * Y2, Y3^2 * Y1 * Y2 * Y1 * Y3^-2 * Y2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 17, 57, 6, 46, 10, 50, 20, 60, 32, 72, 18, 58, 24, 64, 34, 74, 37, 77, 25, 65, 35, 75, 38, 78, 26, 66, 11, 51, 21, 61, 27, 67, 12, 52, 3, 43, 8, 48, 19, 59, 28, 68, 13, 53, 22, 62, 33, 73, 39, 79, 29, 69, 36, 76, 40, 80, 30, 70, 14, 54, 23, 63, 31, 71, 15, 55, 4, 44, 9, 49, 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, 99, 139)(89, 129, 101, 141)(90, 130, 102, 142)(94, 134, 105, 145)(95, 135, 106, 146)(96, 136, 107, 147)(97, 137, 108, 148)(98, 138, 109, 149)(100, 140, 113, 153)(103, 143, 115, 155)(104, 144, 116, 156)(110, 150, 117, 157)(111, 151, 118, 158)(112, 152, 119, 159)(114, 154, 120, 160)
	L = (1, 84)(2, 89)(3, 91)(4, 94)(5, 95)(6, 81)(7, 96)(8, 101)(9, 103)(10, 82)(11, 105)(12, 106)(13, 83)(14, 109)(15, 110)(16, 111)(17, 85)(18, 86)(19, 107)(20, 87)(21, 115)(22, 88)(23, 116)(24, 90)(25, 98)(26, 117)(27, 118)(28, 92)(29, 93)(30, 119)(31, 120)(32, 97)(33, 99)(34, 100)(35, 104)(36, 102)(37, 112)(38, 114)(39, 108)(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) :: { ( 10, 80, 10, 80 ), ( 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80 ) }
Outer automorphisms :: reflexible
Dual of E26.403
Graph:: bipartite
	v = 21 e = 80 f = 9
	degree seq :: [ 4^20, 80 ]

E26.405 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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, (Y1, Y3^-1), (R * Y3)^2, Y3 * Y2 * Y3^-1 * Y2, (R * Y1)^2, (R * Y2)^2, Y3^5 * Y2, Y2 * Y1^2 * Y3^2 * Y1^2, Y1 * Y3 * Y1^2 * Y3 * Y1 * Y2, Y1 * Y3^-1 * Y1^2 * Y3^-2 * Y1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 19, 59, 31, 71, 38, 78, 40, 80, 28, 68, 11, 51, 23, 63, 35, 75, 17, 57, 6, 46, 10, 50, 22, 62, 32, 72, 14, 54, 25, 65, 29, 69, 12, 52, 3, 43, 8, 48, 20, 60, 36, 76, 18, 58, 26, 66, 33, 73, 15, 55, 4, 44, 9, 49, 21, 61, 30, 70, 13, 53, 24, 64, 37, 77, 39, 79, 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, 117, 157)(105, 145, 114, 154)(106, 146, 118, 158)(112, 152, 119, 159)(113, 153, 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, 111)(15, 112)(16, 113)(17, 85)(18, 86)(19, 110)(20, 115)(21, 109)(22, 87)(23, 114)(24, 88)(25, 118)(26, 90)(27, 98)(28, 119)(29, 120)(30, 92)(31, 93)(32, 99)(33, 102)(34, 106)(35, 96)(36, 97)(37, 100)(38, 104)(39, 116)(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, 80, 10, 80 ), ( 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80 ) }
Outer automorphisms :: reflexible
Dual of E26.402
Graph:: bipartite
	v = 21 e = 80 f = 9
	degree seq :: [ 4^20, 80 ]

E26.406 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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^-1, Y3), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^-1 * Y2 * Y3 * Y2, Y1 * Y2 * Y1^-1 * Y2, Y3^-5 * Y2, Y1^2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2, Y1 * Y3 * Y1^2 * Y3^2 * Y1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 19, 59, 27, 67, 38, 78, 39, 79, 30, 70, 13, 53, 24, 64, 33, 73, 15, 55, 4, 44, 9, 49, 21, 61, 36, 76, 18, 58, 26, 66, 29, 69, 12, 52, 3, 43, 8, 48, 20, 60, 32, 72, 14, 54, 25, 65, 35, 75, 17, 57, 6, 46, 10, 50, 22, 62, 28, 68, 11, 51, 23, 63, 37, 77, 40, 80, 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, 117, 157)(102, 142, 113, 153)(105, 145, 118, 158)(106, 146, 114, 154)(115, 155, 119, 159)(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, 111)(15, 112)(16, 113)(17, 85)(18, 86)(19, 116)(20, 117)(21, 115)(22, 87)(23, 118)(24, 88)(25, 114)(26, 90)(27, 98)(28, 99)(29, 102)(30, 92)(31, 93)(32, 120)(33, 100)(34, 104)(35, 96)(36, 97)(37, 119)(38, 106)(39, 109)(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) :: { ( 10, 80, 10, 80 ), ( 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80, 10, 80 ) }
Outer automorphisms :: reflexible
Dual of E26.401
Graph:: bipartite
	v = 21 e = 80 f = 9
	degree seq :: [ 4^20, 80 ]

E26.407 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 40, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^2 * Y2^-1, Y3^2 * Y2 * Y1^-1, (Y3, Y1^-1), (Y3, Y2), Y3^-1 * Y2^-1 * Y1 * Y3^-1, (R * Y3)^2, (Y2^-1, Y1^-1), Y1 * Y3^-1 * Y2^-1 * Y3^-1, (R * Y2)^2, (R * Y1)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y2 * Y1 * Y2, Y1^-2 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 19, 59, 31, 71, 27, 67, 15, 55, 4, 44, 10, 50, 21, 61, 33, 73, 29, 69, 17, 57, 6, 46, 11, 51, 22, 62, 34, 74, 39, 79, 38, 78, 26, 66, 14, 54, 24, 64, 36, 76, 40, 80, 37, 77, 25, 65, 13, 53, 3, 43, 9, 49, 20, 60, 32, 72, 30, 70, 18, 58, 7, 47, 12, 52, 23, 63, 35, 75, 28, 68, 16, 56, 5, 45)(81, 121, 83, 123, 91, 131, 82, 122, 89, 129, 102, 142, 88, 128, 100, 140, 114, 154, 99, 139, 112, 152, 119, 159, 111, 151, 110, 150, 118, 158, 107, 147, 98, 138, 106, 146, 95, 135, 87, 127, 94, 134, 84, 124, 92, 132, 104, 144, 90, 130, 103, 143, 116, 156, 101, 141, 115, 155, 120, 160, 113, 153, 108, 148, 117, 157, 109, 149, 96, 136, 105, 145, 97, 137, 85, 125, 93, 133, 86, 126)
	L = (1, 84)(2, 90)(3, 92)(4, 91)(5, 95)(6, 94)(7, 81)(8, 101)(9, 103)(10, 102)(11, 104)(12, 82)(13, 87)(14, 83)(15, 86)(16, 107)(17, 106)(18, 85)(19, 113)(20, 115)(21, 114)(22, 116)(23, 88)(24, 89)(25, 98)(26, 93)(27, 97)(28, 111)(29, 118)(30, 96)(31, 109)(32, 108)(33, 119)(34, 120)(35, 99)(36, 100)(37, 110)(38, 105)(39, 117)(40, 112)(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, 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, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E26.400
Graph:: bipartite
	v = 2 e = 80 f = 28
	degree seq :: [ 80^2 ]

E26.408 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 7})
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^-3, Y1^-1 * Y2^-2, (R * Y3)^2, (Y1^-1, Y3^-1), (Y3^-1 * Y2^-1)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^-7 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 5, 47)(3, 45, 6, 48, 9, 51)(4, 46, 8, 50, 15, 57)(7, 49, 10, 52, 17, 59)(11, 53, 18, 60, 19, 61)(12, 54, 13, 55, 16, 58)(14, 56, 21, 63, 28, 70)(20, 62, 22, 64, 29, 71)(23, 65, 30, 72, 31, 73)(24, 66, 25, 67, 26, 68)(27, 69, 33, 75, 40, 82)(32, 74, 34, 76, 39, 81)(35, 77, 41, 83, 42, 84)(36, 78, 37, 79, 38, 80)(85, 127, 87, 129, 89, 131, 93, 135, 86, 128, 90, 132)(88, 130, 97, 139, 99, 141, 96, 138, 92, 134, 100, 142)(91, 133, 103, 145, 101, 143, 102, 144, 94, 136, 95, 137)(98, 140, 110, 152, 112, 154, 109, 151, 105, 147, 108, 150)(104, 146, 114, 156, 113, 155, 107, 149, 106, 148, 115, 157)(111, 153, 120, 162, 124, 166, 122, 164, 117, 159, 121, 163)(116, 158, 119, 161, 123, 165, 126, 168, 118, 160, 125, 167)
	L = (1, 88)(2, 92)(3, 95)(4, 98)(5, 99)(6, 102)(7, 85)(8, 105)(9, 103)(10, 86)(11, 107)(12, 87)(13, 90)(14, 111)(15, 112)(16, 93)(17, 89)(18, 114)(19, 115)(20, 91)(21, 117)(22, 94)(23, 119)(24, 96)(25, 97)(26, 100)(27, 123)(28, 124)(29, 101)(30, 125)(31, 126)(32, 104)(33, 116)(34, 106)(35, 122)(36, 108)(37, 109)(38, 110)(39, 113)(40, 118)(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, 14, 12, 14, 12, 14 ), ( 12, 14, 12, 14, 12, 14, 12, 14, 12, 14, 12, 14 ) }
Outer automorphisms :: reflexible
Dual of E26.409
Graph:: bipartite
	v = 21 e = 84 f = 13
	degree seq :: [ 6^14, 12^7 ]

E26.409 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 7})
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^-1 * Y1^-2 * Y2, (Y3^-1, Y2), Y2 * Y1^-2 * Y3^-1, (Y3 * Y1^-1)^2, Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^3 * Y2^-3, Y2^-1 * Y3^-6, Y2^7 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 8, 50, 22, 64, 17, 59, 5, 47)(3, 45, 11, 53, 23, 65, 12, 54, 4, 46, 15, 57)(6, 48, 9, 51, 7, 49, 18, 60, 24, 66, 10, 52)(13, 55, 28, 70, 16, 58, 29, 71, 14, 56, 30, 72)(19, 61, 25, 67, 20, 62, 27, 69, 21, 63, 26, 68)(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, 97, 139, 115, 157, 118, 160, 103, 145, 90, 132)(86, 128, 93, 135, 109, 151, 121, 163, 124, 166, 112, 154, 95, 137)(88, 130, 98, 140, 116, 158, 120, 162, 105, 147, 108, 150, 101, 143)(89, 131, 94, 136, 110, 152, 122, 164, 126, 168, 114, 156, 99, 141)(91, 133, 92, 134, 107, 149, 100, 142, 117, 159, 119, 161, 104, 146)(96, 138, 106, 148, 102, 144, 111, 153, 123, 165, 125, 167, 113, 155)
	L = (1, 88)(2, 94)(3, 98)(4, 100)(5, 102)(6, 101)(7, 85)(8, 87)(9, 110)(10, 111)(11, 89)(12, 86)(13, 116)(14, 117)(15, 106)(16, 115)(17, 107)(18, 109)(19, 108)(20, 90)(21, 91)(22, 93)(23, 97)(24, 92)(25, 122)(26, 123)(27, 121)(28, 99)(29, 95)(30, 96)(31, 120)(32, 119)(33, 118)(34, 105)(35, 103)(36, 104)(37, 126)(38, 125)(39, 124)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.408
Graph:: bipartite
	v = 13 e = 84 f = 21
	degree seq :: [ 12^7, 14^6 ]

E26.410 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 14, 14})
Quotient :: edge^2
Aut^+ = C2 x (C7 : C3) (small group id <42, 2>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2, Y1^2 * Y2^-1, Y2^3, (R * Y3)^2, R * Y2 * R * Y1, Y3^-2 * Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y1 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y3^2, Y1 * Y3^-1 * Y1 * Y3^2 * Y2^-1 * Y3, Y3 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^2 ]
Map:: non-degenerate
	R = (1, 43, 4, 46, 12, 54, 25, 67, 38, 80, 20, 62, 39, 81, 42, 84, 37, 79, 17, 59, 36, 78, 22, 64, 15, 57, 5, 47)(2, 44, 6, 48, 18, 60, 13, 55, 33, 75, 26, 68, 35, 77, 41, 83, 31, 73, 23, 65, 28, 70, 10, 52, 21, 63, 7, 49)(3, 45, 8, 50, 24, 66, 19, 61, 32, 74, 14, 56, 34, 76, 40, 82, 30, 72, 11, 53, 29, 71, 16, 58, 27, 69, 9, 51)(85, 86, 87)(88, 94, 95)(89, 97, 98)(90, 100, 101)(91, 103, 104)(92, 106, 107)(93, 109, 110)(96, 115, 116)(99, 119, 113)(102, 114, 122)(105, 118, 120)(108, 121, 117)(111, 123, 112)(124, 126, 125)(127, 129, 128)(130, 137, 136)(131, 140, 139)(132, 143, 142)(133, 146, 145)(134, 149, 148)(135, 152, 151)(138, 158, 157)(141, 155, 161)(144, 164, 156)(147, 162, 160)(150, 159, 163)(153, 154, 165)(166, 167, 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) :: { ( 56^3 ), ( 56^28 ) }
Outer automorphisms :: reflexible
Dual of E26.419
Graph:: simple bipartite
	v = 31 e = 84 f = 3
	degree seq :: [ 3^28, 28^3 ]

E26.411 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 14, 14})
Quotient :: edge^2
Aut^+ = C2 x (C7 : C3) (small group id <42, 2>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y2^-1 * Y1^-1 * Y3^2, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y1, Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y2^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y3^2 * Y1^-1, (Y2^-1 * Y3 * Y1^-1)^2, (Y2 * Y1^-1)^3, Y1^-1 * Y3^-3 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 43, 4, 46, 8, 50, 31, 73, 42, 84, 38, 80, 21, 63, 37, 79, 12, 54, 34, 76, 35, 77, 33, 75, 25, 67, 7, 49)(2, 44, 9, 51, 20, 62, 19, 61, 14, 56, 26, 68, 6, 48, 24, 66, 30, 72, 29, 71, 39, 81, 16, 58, 36, 78, 11, 53)(3, 45, 13, 55, 32, 74, 28, 70, 10, 52, 27, 69, 40, 82, 18, 60, 23, 65, 17, 59, 41, 83, 22, 64, 5, 47, 15, 57)(85, 86, 89)(87, 96, 98)(88, 100, 102)(90, 107, 109)(91, 103, 112)(92, 114, 116)(93, 101, 118)(94, 119, 120)(95, 97, 122)(99, 117, 113)(104, 124, 126)(105, 123, 125)(106, 115, 110)(108, 111, 121)(127, 129, 132)(128, 134, 136)(130, 143, 145)(131, 146, 147)(133, 153, 155)(135, 159, 139)(137, 163, 144)(138, 158, 165)(140, 161, 166)(141, 142, 157)(148, 150, 160)(149, 156, 168)(151, 167, 162)(152, 164, 154)
	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) :: { ( 56^3 ), ( 56^28 ) }
Outer automorphisms :: reflexible
Dual of E26.417
Graph:: simple bipartite
	v = 31 e = 84 f = 3
	degree seq :: [ 3^28, 28^3 ]

E26.412 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 14, 14})
Quotient :: edge^2
Aut^+ = C2 x (C7 : C3) (small group id <42, 2>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, R * Y1 * R * Y2, Y1^-1 * Y3^-2 * Y2^-1, (R * Y3)^2, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y1, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1, Y2^-1 * Y1^-1 * Y2^-1 * Y3^-2 * Y1^-1, (Y2^-1 * Y1)^3, Y1^-1 * Y3^7 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 43, 4, 46, 18, 60, 37, 79, 36, 78, 38, 80, 12, 54, 33, 75, 23, 65, 35, 77, 42, 84, 32, 74, 8, 50, 7, 49)(2, 44, 9, 51, 34, 76, 27, 69, 39, 81, 20, 62, 30, 72, 26, 68, 6, 48, 25, 67, 14, 56, 16, 58, 21, 63, 11, 53)(3, 45, 13, 55, 5, 47, 22, 64, 41, 83, 28, 70, 24, 66, 29, 71, 40, 82, 17, 59, 10, 52, 19, 61, 31, 73, 15, 57)(85, 86, 89)(87, 96, 98)(88, 100, 103)(90, 108, 102)(91, 111, 113)(92, 114, 115)(93, 99, 119)(94, 120, 118)(95, 112, 122)(97, 121, 104)(101, 117, 110)(105, 124, 126)(106, 116, 109)(107, 123, 125)(127, 129, 132)(128, 134, 136)(130, 143, 146)(131, 147, 149)(133, 154, 142)(135, 159, 155)(137, 163, 141)(138, 157, 165)(139, 153, 158)(140, 162, 166)(144, 167, 160)(145, 151, 161)(148, 152, 164)(150, 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) :: { ( 56^3 ), ( 56^28 ) }
Outer automorphisms :: reflexible
Dual of E26.420
Graph:: simple bipartite
	v = 31 e = 84 f = 3
	degree seq :: [ 3^28, 28^3 ]

E26.413 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 14, 14})
Quotient :: edge^2
Aut^+ = C2 x (C7 : C3) (small group id <42, 2>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y1^-1 * Y3^-1 * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y3^-2, Y2^-1 * Y1 * Y2^-1 * Y3^-2, Y2^-1 * Y1 * Y3 * Y2^-1 * Y3, Y3^-1 * Y1 * Y3 * Y2 * Y3^-2, Y2 * Y1 * Y3 * Y1 * Y3 * Y1^-1, Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y3^2 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1^-1, Y3^14 ]
Map:: non-degenerate
	R = (1, 43, 4, 46, 18, 60, 35, 77, 12, 54, 37, 79, 25, 67, 33, 75, 8, 50, 31, 73, 22, 64, 40, 82, 29, 71, 7, 49)(2, 44, 9, 51, 14, 56, 27, 69, 30, 72, 39, 81, 36, 78, 19, 61, 20, 62, 26, 68, 6, 48, 16, 58, 38, 80, 11, 53)(3, 45, 13, 55, 10, 52, 34, 76, 24, 66, 23, 65, 5, 47, 21, 63, 32, 74, 17, 59, 41, 83, 28, 70, 42, 84, 15, 57)(85, 86, 89)(87, 96, 98)(88, 100, 97)(90, 108, 109)(91, 111, 112)(92, 114, 116)(93, 118, 115)(94, 113, 120)(95, 101, 121)(99, 117, 103)(102, 104, 125)(105, 124, 110)(106, 122, 126)(107, 119, 123)(127, 129, 132)(128, 134, 136)(130, 143, 145)(131, 146, 148)(133, 149, 137)(135, 161, 141)(138, 158, 164)(139, 165, 166)(140, 155, 167)(142, 157, 154)(144, 150, 156)(147, 153, 159)(151, 168, 162)(152, 163, 160)
	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) :: { ( 56^3 ), ( 56^28 ) }
Outer automorphisms :: reflexible
Dual of E26.416
Graph:: simple bipartite
	v = 31 e = 84 f = 3
	degree seq :: [ 3^28, 28^3 ]

E26.414 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 14, 14})
Quotient :: edge^2
Aut^+ = C2 x (C7 : C3) (small group id <42, 2>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y3^-2 * Y2 * Y1, Y3 * Y1 * Y3 * Y2, Y3^2 * Y1^-1 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y3^4 * Y2^-1 * Y1^-1, Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, (Y2 * Y1^-1)^3, Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 43, 4, 46, 12, 54, 29, 71, 8, 50, 27, 69, 32, 74, 42, 84, 41, 83, 31, 73, 24, 66, 36, 78, 22, 64, 7, 49)(2, 44, 9, 51, 26, 68, 25, 67, 20, 62, 39, 81, 34, 76, 35, 77, 14, 56, 19, 61, 33, 75, 16, 58, 6, 48, 11, 53)(3, 45, 13, 55, 23, 65, 38, 80, 28, 70, 18, 60, 40, 82, 30, 72, 10, 52, 17, 59, 5, 47, 21, 63, 37, 79, 15, 57)(85, 86, 89)(87, 96, 98)(88, 100, 102)(90, 107, 108)(91, 109, 97)(92, 110, 112)(93, 114, 115)(94, 116, 117)(95, 99, 111)(101, 113, 123)(103, 105, 120)(104, 121, 125)(106, 118, 124)(119, 122, 126)(127, 129, 132)(128, 134, 136)(130, 143, 145)(131, 146, 148)(133, 144, 135)(137, 157, 147)(138, 154, 160)(139, 161, 162)(140, 158, 163)(141, 151, 155)(142, 153, 164)(149, 152, 167)(150, 166, 159)(156, 165, 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) :: { ( 56^3 ), ( 56^28 ) }
Outer automorphisms :: reflexible
Dual of E26.418
Graph:: simple bipartite
	v = 31 e = 84 f = 3
	degree seq :: [ 3^28, 28^3 ]

E26.415 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 14, 14})
Quotient :: edge^2
Aut^+ = C2 x (C7 : C3) (small group id <42, 2>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y3^2 * Y2 * Y1, Y3^2 * Y2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y3^2 * Y2 * Y1, Y3^-1 * Y1 * Y3^-1 * Y2, Y3^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, (Y2 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 43, 4, 46, 18, 60, 37, 79, 24, 66, 30, 72, 39, 81, 42, 84, 31, 73, 29, 71, 8, 50, 27, 69, 12, 54, 7, 49)(2, 44, 9, 51, 6, 48, 23, 65, 33, 75, 25, 67, 14, 56, 36, 78, 34, 76, 40, 82, 19, 61, 16, 58, 26, 68, 11, 53)(3, 45, 13, 55, 35, 77, 21, 63, 5, 47, 20, 62, 10, 52, 32, 74, 38, 80, 17, 59, 28, 70, 41, 83, 22, 64, 15, 57)(85, 86, 89)(87, 96, 98)(88, 100, 99)(90, 106, 108)(91, 107, 101)(92, 110, 112)(93, 97, 113)(94, 115, 117)(95, 116, 114)(102, 118, 122)(103, 119, 123)(104, 111, 124)(105, 121, 109)(120, 125, 126)(127, 129, 132)(128, 134, 136)(130, 143, 137)(131, 145, 144)(133, 146, 151)(135, 156, 147)(138, 154, 160)(139, 142, 153)(140, 157, 161)(141, 162, 163)(148, 152, 165)(149, 155, 167)(150, 164, 159)(158, 166, 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) :: { ( 56^3 ), ( 56^28 ) }
Outer automorphisms :: reflexible
Dual of E26.421
Graph:: simple bipartite
	v = 31 e = 84 f = 3
	degree seq :: [ 3^28, 28^3 ]

E26.416 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 14, 14})
Quotient :: loop^2
Aut^+ = C2 x (C7 : C3) (small group id <42, 2>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2, Y1^2 * Y2^-1, Y2^3, (R * Y3)^2, R * Y2 * R * Y1, Y3^-2 * Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y1 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y3^2, Y1 * Y3^-1 * Y1 * Y3^2 * Y2^-1 * Y3, Y3 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^2 ]
Map:: non-degenerate
	R = (1, 43, 85, 127, 4, 46, 88, 130, 12, 54, 96, 138, 25, 67, 109, 151, 38, 80, 122, 164, 20, 62, 104, 146, 39, 81, 123, 165, 42, 84, 126, 168, 37, 79, 121, 163, 17, 59, 101, 143, 36, 78, 120, 162, 22, 64, 106, 148, 15, 57, 99, 141, 5, 47, 89, 131)(2, 44, 86, 128, 6, 48, 90, 132, 18, 60, 102, 144, 13, 55, 97, 139, 33, 75, 117, 159, 26, 68, 110, 152, 35, 77, 119, 161, 41, 83, 125, 167, 31, 73, 115, 157, 23, 65, 107, 149, 28, 70, 112, 154, 10, 52, 94, 136, 21, 63, 105, 147, 7, 49, 91, 133)(3, 45, 87, 129, 8, 50, 92, 134, 24, 66, 108, 150, 19, 61, 103, 145, 32, 74, 116, 158, 14, 56, 98, 140, 34, 76, 118, 160, 40, 82, 124, 166, 30, 72, 114, 156, 11, 53, 95, 137, 29, 71, 113, 155, 16, 58, 100, 142, 27, 69, 111, 153, 9, 51, 93, 135)
	L = (1, 44)(2, 45)(3, 43)(4, 52)(5, 55)(6, 58)(7, 61)(8, 64)(9, 67)(10, 53)(11, 46)(12, 73)(13, 56)(14, 47)(15, 77)(16, 59)(17, 48)(18, 72)(19, 62)(20, 49)(21, 76)(22, 65)(23, 50)(24, 79)(25, 68)(26, 51)(27, 81)(28, 69)(29, 57)(30, 80)(31, 74)(32, 54)(33, 66)(34, 78)(35, 71)(36, 63)(37, 75)(38, 60)(39, 70)(40, 84)(41, 82)(42, 83)(85, 129)(86, 127)(87, 128)(88, 137)(89, 140)(90, 143)(91, 146)(92, 149)(93, 152)(94, 130)(95, 136)(96, 158)(97, 131)(98, 139)(99, 155)(100, 132)(101, 142)(102, 164)(103, 133)(104, 145)(105, 162)(106, 134)(107, 148)(108, 159)(109, 135)(110, 151)(111, 154)(112, 165)(113, 161)(114, 144)(115, 138)(116, 157)(117, 163)(118, 147)(119, 141)(120, 160)(121, 150)(122, 156)(123, 153)(124, 167)(125, 168)(126, 166)
	local type(s) :: { ( 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28 ) }
Outer automorphisms :: reflexible
Dual of E26.413
Transitivity :: VT+
Graph::
	v = 3 e = 84 f = 31
	degree seq :: [ 56^3 ]

E26.417 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 14, 14})
Quotient :: loop^2
Aut^+ = C2 x (C7 : C3) (small group id <42, 2>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y2^-1 * Y1^-1 * Y3^2, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y1, Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y2^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y3^2 * Y1^-1, (Y2^-1 * Y3 * Y1^-1)^2, (Y2 * Y1^-1)^3, Y1^-1 * Y3^-3 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 43, 85, 127, 4, 46, 88, 130, 8, 50, 92, 134, 31, 73, 115, 157, 42, 84, 126, 168, 38, 80, 122, 164, 21, 63, 105, 147, 37, 79, 121, 163, 12, 54, 96, 138, 34, 76, 118, 160, 35, 77, 119, 161, 33, 75, 117, 159, 25, 67, 109, 151, 7, 49, 91, 133)(2, 44, 86, 128, 9, 51, 93, 135, 20, 62, 104, 146, 19, 61, 103, 145, 14, 56, 98, 140, 26, 68, 110, 152, 6, 48, 90, 132, 24, 66, 108, 150, 30, 72, 114, 156, 29, 71, 113, 155, 39, 81, 123, 165, 16, 58, 100, 142, 36, 78, 120, 162, 11, 53, 95, 137)(3, 45, 87, 129, 13, 55, 97, 139, 32, 74, 116, 158, 28, 70, 112, 154, 10, 52, 94, 136, 27, 69, 111, 153, 40, 82, 124, 166, 18, 60, 102, 144, 23, 65, 107, 149, 17, 59, 101, 143, 41, 83, 125, 167, 22, 64, 106, 148, 5, 47, 89, 131, 15, 57, 99, 141)
	L = (1, 44)(2, 47)(3, 54)(4, 58)(5, 43)(6, 65)(7, 61)(8, 72)(9, 59)(10, 77)(11, 55)(12, 56)(13, 80)(14, 45)(15, 75)(16, 60)(17, 76)(18, 46)(19, 70)(20, 82)(21, 81)(22, 73)(23, 67)(24, 69)(25, 48)(26, 64)(27, 79)(28, 49)(29, 57)(30, 74)(31, 68)(32, 50)(33, 71)(34, 51)(35, 78)(36, 52)(37, 66)(38, 53)(39, 83)(40, 84)(41, 63)(42, 62)(85, 129)(86, 134)(87, 132)(88, 143)(89, 146)(90, 127)(91, 153)(92, 136)(93, 159)(94, 128)(95, 163)(96, 158)(97, 135)(98, 161)(99, 142)(100, 157)(101, 145)(102, 137)(103, 130)(104, 147)(105, 131)(106, 150)(107, 156)(108, 160)(109, 167)(110, 164)(111, 155)(112, 152)(113, 133)(114, 168)(115, 141)(116, 165)(117, 139)(118, 148)(119, 166)(120, 151)(121, 144)(122, 154)(123, 138)(124, 140)(125, 162)(126, 149)
	local type(s) :: { ( 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28 ) }
Outer automorphisms :: reflexible
Dual of E26.411
Transitivity :: VT+
Graph::
	v = 3 e = 84 f = 31
	degree seq :: [ 56^3 ]

E26.418 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 14, 14})
Quotient :: loop^2
Aut^+ = C2 x (C7 : C3) (small group id <42, 2>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, R * Y1 * R * Y2, Y1^-1 * Y3^-2 * Y2^-1, (R * Y3)^2, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y1, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1, Y2^-1 * Y1^-1 * Y2^-1 * Y3^-2 * Y1^-1, (Y2^-1 * Y1)^3, Y1^-1 * Y3^7 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 43, 85, 127, 4, 46, 88, 130, 18, 60, 102, 144, 37, 79, 121, 163, 36, 78, 120, 162, 38, 80, 122, 164, 12, 54, 96, 138, 33, 75, 117, 159, 23, 65, 107, 149, 35, 77, 119, 161, 42, 84, 126, 168, 32, 74, 116, 158, 8, 50, 92, 134, 7, 49, 91, 133)(2, 44, 86, 128, 9, 51, 93, 135, 34, 76, 118, 160, 27, 69, 111, 153, 39, 81, 123, 165, 20, 62, 104, 146, 30, 72, 114, 156, 26, 68, 110, 152, 6, 48, 90, 132, 25, 67, 109, 151, 14, 56, 98, 140, 16, 58, 100, 142, 21, 63, 105, 147, 11, 53, 95, 137)(3, 45, 87, 129, 13, 55, 97, 139, 5, 47, 89, 131, 22, 64, 106, 148, 41, 83, 125, 167, 28, 70, 112, 154, 24, 66, 108, 150, 29, 71, 113, 155, 40, 82, 124, 166, 17, 59, 101, 143, 10, 52, 94, 136, 19, 61, 103, 145, 31, 73, 115, 157, 15, 57, 99, 141)
	L = (1, 44)(2, 47)(3, 54)(4, 58)(5, 43)(6, 66)(7, 69)(8, 72)(9, 57)(10, 78)(11, 70)(12, 56)(13, 79)(14, 45)(15, 77)(16, 61)(17, 75)(18, 48)(19, 46)(20, 55)(21, 82)(22, 74)(23, 81)(24, 60)(25, 64)(26, 59)(27, 71)(28, 80)(29, 49)(30, 73)(31, 50)(32, 67)(33, 68)(34, 52)(35, 51)(36, 76)(37, 62)(38, 53)(39, 83)(40, 84)(41, 65)(42, 63)(85, 129)(86, 134)(87, 132)(88, 143)(89, 147)(90, 127)(91, 154)(92, 136)(93, 159)(94, 128)(95, 163)(96, 157)(97, 153)(98, 162)(99, 137)(100, 133)(101, 146)(102, 167)(103, 151)(104, 130)(105, 149)(106, 152)(107, 131)(108, 156)(109, 161)(110, 164)(111, 158)(112, 142)(113, 135)(114, 168)(115, 165)(116, 139)(117, 155)(118, 144)(119, 145)(120, 166)(121, 141)(122, 148)(123, 138)(124, 140)(125, 160)(126, 150)
	local type(s) :: { ( 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28 ) }
Outer automorphisms :: reflexible
Dual of E26.414
Transitivity :: VT+
Graph::
	v = 3 e = 84 f = 31
	degree seq :: [ 56^3 ]

E26.419 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 14, 14})
Quotient :: loop^2
Aut^+ = C2 x (C7 : C3) (small group id <42, 2>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y1^-1 * Y3^-1 * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y3^-2, Y2^-1 * Y1 * Y2^-1 * Y3^-2, Y2^-1 * Y1 * Y3 * Y2^-1 * Y3, Y3^-1 * Y1 * Y3 * Y2 * Y3^-2, Y2 * Y1 * Y3 * Y1 * Y3 * Y1^-1, Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y3^2 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1^-1, Y3^14 ]
Map:: non-degenerate
	R = (1, 43, 85, 127, 4, 46, 88, 130, 18, 60, 102, 144, 35, 77, 119, 161, 12, 54, 96, 138, 37, 79, 121, 163, 25, 67, 109, 151, 33, 75, 117, 159, 8, 50, 92, 134, 31, 73, 115, 157, 22, 64, 106, 148, 40, 82, 124, 166, 29, 71, 113, 155, 7, 49, 91, 133)(2, 44, 86, 128, 9, 51, 93, 135, 14, 56, 98, 140, 27, 69, 111, 153, 30, 72, 114, 156, 39, 81, 123, 165, 36, 78, 120, 162, 19, 61, 103, 145, 20, 62, 104, 146, 26, 68, 110, 152, 6, 48, 90, 132, 16, 58, 100, 142, 38, 80, 122, 164, 11, 53, 95, 137)(3, 45, 87, 129, 13, 55, 97, 139, 10, 52, 94, 136, 34, 76, 118, 160, 24, 66, 108, 150, 23, 65, 107, 149, 5, 47, 89, 131, 21, 63, 105, 147, 32, 74, 116, 158, 17, 59, 101, 143, 41, 83, 125, 167, 28, 70, 112, 154, 42, 84, 126, 168, 15, 57, 99, 141)
	L = (1, 44)(2, 47)(3, 54)(4, 58)(5, 43)(6, 66)(7, 69)(8, 72)(9, 76)(10, 71)(11, 59)(12, 56)(13, 46)(14, 45)(15, 75)(16, 55)(17, 79)(18, 62)(19, 57)(20, 83)(21, 82)(22, 80)(23, 77)(24, 67)(25, 48)(26, 63)(27, 70)(28, 49)(29, 78)(30, 74)(31, 51)(32, 50)(33, 61)(34, 73)(35, 81)(36, 52)(37, 53)(38, 84)(39, 65)(40, 68)(41, 60)(42, 64)(85, 129)(86, 134)(87, 132)(88, 143)(89, 146)(90, 127)(91, 149)(92, 136)(93, 161)(94, 128)(95, 133)(96, 158)(97, 165)(98, 155)(99, 135)(100, 157)(101, 145)(102, 150)(103, 130)(104, 148)(105, 153)(106, 131)(107, 137)(108, 156)(109, 168)(110, 163)(111, 159)(112, 142)(113, 167)(114, 144)(115, 154)(116, 164)(117, 147)(118, 152)(119, 141)(120, 151)(121, 160)(122, 138)(123, 166)(124, 139)(125, 140)(126, 162)
	local type(s) :: { ( 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28 ) }
Outer automorphisms :: reflexible
Dual of E26.410
Transitivity :: VT+
Graph::
	v = 3 e = 84 f = 31
	degree seq :: [ 56^3 ]

E26.420 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 14, 14})
Quotient :: loop^2
Aut^+ = C2 x (C7 : C3) (small group id <42, 2>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y3^-2 * Y2 * Y1, Y3 * Y1 * Y3 * Y2, Y3^2 * Y1^-1 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y3^4 * Y2^-1 * Y1^-1, Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, (Y2 * Y1^-1)^3, Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 43, 85, 127, 4, 46, 88, 130, 12, 54, 96, 138, 29, 71, 113, 155, 8, 50, 92, 134, 27, 69, 111, 153, 32, 74, 116, 158, 42, 84, 126, 168, 41, 83, 125, 167, 31, 73, 115, 157, 24, 66, 108, 150, 36, 78, 120, 162, 22, 64, 106, 148, 7, 49, 91, 133)(2, 44, 86, 128, 9, 51, 93, 135, 26, 68, 110, 152, 25, 67, 109, 151, 20, 62, 104, 146, 39, 81, 123, 165, 34, 76, 118, 160, 35, 77, 119, 161, 14, 56, 98, 140, 19, 61, 103, 145, 33, 75, 117, 159, 16, 58, 100, 142, 6, 48, 90, 132, 11, 53, 95, 137)(3, 45, 87, 129, 13, 55, 97, 139, 23, 65, 107, 149, 38, 80, 122, 164, 28, 70, 112, 154, 18, 60, 102, 144, 40, 82, 124, 166, 30, 72, 114, 156, 10, 52, 94, 136, 17, 59, 101, 143, 5, 47, 89, 131, 21, 63, 105, 147, 37, 79, 121, 163, 15, 57, 99, 141)
	L = (1, 44)(2, 47)(3, 54)(4, 58)(5, 43)(6, 65)(7, 67)(8, 68)(9, 72)(10, 74)(11, 57)(12, 56)(13, 49)(14, 45)(15, 69)(16, 60)(17, 71)(18, 46)(19, 63)(20, 79)(21, 78)(22, 76)(23, 66)(24, 48)(25, 55)(26, 70)(27, 53)(28, 50)(29, 81)(30, 73)(31, 51)(32, 75)(33, 52)(34, 82)(35, 80)(36, 61)(37, 83)(38, 84)(39, 59)(40, 64)(41, 62)(42, 77)(85, 129)(86, 134)(87, 132)(88, 143)(89, 146)(90, 127)(91, 144)(92, 136)(93, 133)(94, 128)(95, 157)(96, 154)(97, 161)(98, 158)(99, 151)(100, 153)(101, 145)(102, 135)(103, 130)(104, 148)(105, 137)(106, 131)(107, 152)(108, 166)(109, 155)(110, 167)(111, 164)(112, 160)(113, 141)(114, 165)(115, 147)(116, 163)(117, 150)(118, 138)(119, 162)(120, 139)(121, 140)(122, 142)(123, 168)(124, 159)(125, 149)(126, 156)
	local type(s) :: { ( 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28 ) }
Outer automorphisms :: reflexible
Dual of E26.412
Transitivity :: VT+
Graph::
	v = 3 e = 84 f = 31
	degree seq :: [ 56^3 ]

E26.421 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 14, 14})
Quotient :: loop^2
Aut^+ = C2 x (C7 : C3) (small group id <42, 2>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y3^2 * Y2 * Y1, Y3^2 * Y2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y3^2 * Y2 * Y1, Y3^-1 * Y1 * Y3^-1 * Y2, Y3^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, (Y2 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 43, 85, 127, 4, 46, 88, 130, 18, 60, 102, 144, 37, 79, 121, 163, 24, 66, 108, 150, 30, 72, 114, 156, 39, 81, 123, 165, 42, 84, 126, 168, 31, 73, 115, 157, 29, 71, 113, 155, 8, 50, 92, 134, 27, 69, 111, 153, 12, 54, 96, 138, 7, 49, 91, 133)(2, 44, 86, 128, 9, 51, 93, 135, 6, 48, 90, 132, 23, 65, 107, 149, 33, 75, 117, 159, 25, 67, 109, 151, 14, 56, 98, 140, 36, 78, 120, 162, 34, 76, 118, 160, 40, 82, 124, 166, 19, 61, 103, 145, 16, 58, 100, 142, 26, 68, 110, 152, 11, 53, 95, 137)(3, 45, 87, 129, 13, 55, 97, 139, 35, 77, 119, 161, 21, 63, 105, 147, 5, 47, 89, 131, 20, 62, 104, 146, 10, 52, 94, 136, 32, 74, 116, 158, 38, 80, 122, 164, 17, 59, 101, 143, 28, 70, 112, 154, 41, 83, 125, 167, 22, 64, 106, 148, 15, 57, 99, 141)
	L = (1, 44)(2, 47)(3, 54)(4, 58)(5, 43)(6, 64)(7, 65)(8, 68)(9, 55)(10, 73)(11, 74)(12, 56)(13, 71)(14, 45)(15, 46)(16, 57)(17, 49)(18, 76)(19, 77)(20, 69)(21, 79)(22, 66)(23, 59)(24, 48)(25, 63)(26, 70)(27, 82)(28, 50)(29, 51)(30, 53)(31, 75)(32, 72)(33, 52)(34, 80)(35, 81)(36, 83)(37, 67)(38, 60)(39, 61)(40, 62)(41, 84)(42, 78)(85, 129)(86, 134)(87, 132)(88, 143)(89, 145)(90, 127)(91, 146)(92, 136)(93, 156)(94, 128)(95, 130)(96, 154)(97, 142)(98, 157)(99, 162)(100, 153)(101, 137)(102, 131)(103, 144)(104, 151)(105, 135)(106, 152)(107, 155)(108, 164)(109, 133)(110, 165)(111, 139)(112, 160)(113, 167)(114, 147)(115, 161)(116, 166)(117, 150)(118, 138)(119, 140)(120, 163)(121, 141)(122, 159)(123, 148)(124, 168)(125, 149)(126, 158)
	local type(s) :: { ( 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28 ) }
Outer automorphisms :: reflexible
Dual of E26.415
Transitivity :: VT+
Graph::
	v = 3 e = 84 f = 31
	degree seq :: [ 56^3 ]

E26.422 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 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, Y1^-1 * Y2^-1, Y1^3, Y2^3, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y2 * Y3 * Y1^-1, Y3 * Y2 * Y3^-1 * Y1^-1, Y3^14 ]
Map:: non-degenerate
	R = (1, 43, 4, 46, 10, 52, 16, 58, 22, 64, 28, 70, 34, 76, 40, 82, 35, 77, 29, 71, 23, 65, 17, 59, 11, 53, 5, 47)(2, 44, 6, 48, 12, 54, 18, 60, 24, 66, 30, 72, 36, 78, 41, 83, 37, 79, 31, 73, 25, 67, 19, 61, 13, 55, 7, 49)(3, 45, 8, 50, 14, 56, 20, 62, 26, 68, 32, 74, 38, 80, 42, 84, 39, 81, 33, 75, 27, 69, 21, 63, 15, 57, 9, 51)(85, 86, 87)(88, 92, 90)(89, 93, 91)(94, 96, 98)(95, 97, 99)(100, 104, 102)(101, 105, 103)(106, 108, 110)(107, 109, 111)(112, 116, 114)(113, 117, 115)(118, 120, 122)(119, 121, 123)(124, 126, 125)(127, 129, 128)(130, 132, 134)(131, 133, 135)(136, 140, 138)(137, 141, 139)(142, 144, 146)(143, 145, 147)(148, 152, 150)(149, 153, 151)(154, 156, 158)(155, 157, 159)(160, 164, 162)(161, 165, 163)(166, 167, 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) :: { ( 56^3 ), ( 56^28 ) }
Outer automorphisms :: reflexible
Dual of E26.424
Graph:: simple bipartite
	v = 31 e = 84 f = 3
	degree seq :: [ 3^28, 28^3 ]

E26.423 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 14, 14})
Quotient :: edge^2
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = C14 x S3 (small group id <84, 13>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y3^3, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2^-1 * Y3 * Y1^-1, Y2^14, Y1^14 ]
Map:: non-degenerate
	R = (1, 43, 4, 46, 5, 47)(2, 44, 7, 49, 8, 50)(3, 45, 10, 52, 11, 53)(6, 48, 13, 55, 14, 56)(9, 51, 16, 58, 17, 59)(12, 54, 19, 61, 20, 62)(15, 57, 22, 64, 23, 65)(18, 60, 25, 67, 26, 68)(21, 63, 28, 70, 29, 71)(24, 66, 31, 73, 32, 74)(27, 69, 34, 76, 35, 77)(30, 72, 37, 79, 38, 80)(33, 75, 39, 81, 40, 82)(36, 78, 41, 83, 42, 84)(85, 86, 90, 96, 102, 108, 114, 120, 117, 111, 105, 99, 93, 87)(88, 92, 97, 104, 109, 116, 121, 126, 123, 119, 112, 107, 100, 95)(89, 91, 98, 103, 110, 115, 122, 125, 124, 118, 113, 106, 101, 94)(127, 129, 135, 141, 147, 153, 159, 162, 156, 150, 144, 138, 132, 128)(130, 137, 142, 149, 154, 161, 165, 168, 163, 158, 151, 146, 139, 134)(131, 136, 143, 148, 155, 160, 166, 167, 164, 157, 152, 145, 140, 133)
	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 ), ( 12^14 ) }
Outer automorphisms :: reflexible
Dual of E26.425
Graph:: simple bipartite
	v = 20 e = 84 f = 14
	degree seq :: [ 6^14, 14^6 ]

E26.424 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 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, Y1^-1 * Y2^-1, Y1^3, Y2^3, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y2 * Y3 * Y1^-1, Y3 * Y2 * Y3^-1 * Y1^-1, Y3^14 ]
Map:: non-degenerate
	R = (1, 43, 85, 127, 4, 46, 88, 130, 10, 52, 94, 136, 16, 58, 100, 142, 22, 64, 106, 148, 28, 70, 112, 154, 34, 76, 118, 160, 40, 82, 124, 166, 35, 77, 119, 161, 29, 71, 113, 155, 23, 65, 107, 149, 17, 59, 101, 143, 11, 53, 95, 137, 5, 47, 89, 131)(2, 44, 86, 128, 6, 48, 90, 132, 12, 54, 96, 138, 18, 60, 102, 144, 24, 66, 108, 150, 30, 72, 114, 156, 36, 78, 120, 162, 41, 83, 125, 167, 37, 79, 121, 163, 31, 73, 115, 157, 25, 67, 109, 151, 19, 61, 103, 145, 13, 55, 97, 139, 7, 49, 91, 133)(3, 45, 87, 129, 8, 50, 92, 134, 14, 56, 98, 140, 20, 62, 104, 146, 26, 68, 110, 152, 32, 74, 116, 158, 38, 80, 122, 164, 42, 84, 126, 168, 39, 81, 123, 165, 33, 75, 117, 159, 27, 69, 111, 153, 21, 63, 105, 147, 15, 57, 99, 141, 9, 51, 93, 135)
	L = (1, 44)(2, 45)(3, 43)(4, 50)(5, 51)(6, 46)(7, 47)(8, 48)(9, 49)(10, 54)(11, 55)(12, 56)(13, 57)(14, 52)(15, 53)(16, 62)(17, 63)(18, 58)(19, 59)(20, 60)(21, 61)(22, 66)(23, 67)(24, 68)(25, 69)(26, 64)(27, 65)(28, 74)(29, 75)(30, 70)(31, 71)(32, 72)(33, 73)(34, 78)(35, 79)(36, 80)(37, 81)(38, 76)(39, 77)(40, 84)(41, 82)(42, 83)(85, 129)(86, 127)(87, 128)(88, 132)(89, 133)(90, 134)(91, 135)(92, 130)(93, 131)(94, 140)(95, 141)(96, 136)(97, 137)(98, 138)(99, 139)(100, 144)(101, 145)(102, 146)(103, 147)(104, 142)(105, 143)(106, 152)(107, 153)(108, 148)(109, 149)(110, 150)(111, 151)(112, 156)(113, 157)(114, 158)(115, 159)(116, 154)(117, 155)(118, 164)(119, 165)(120, 160)(121, 161)(122, 162)(123, 163)(124, 167)(125, 168)(126, 166)
	local type(s) :: { ( 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28 ) }
Outer automorphisms :: reflexible
Dual of E26.422
Transitivity :: VT+
Graph::
	v = 3 e = 84 f = 31
	degree seq :: [ 56^3 ]

E26.425 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 14, 14})
Quotient :: loop^2
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = C14 x S3 (small group id <84, 13>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y3^3, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2^-1 * Y3 * Y1^-1, Y2^14, Y1^14 ]
Map:: non-degenerate
	R = (1, 43, 85, 127, 4, 46, 88, 130, 5, 47, 89, 131)(2, 44, 86, 128, 7, 49, 91, 133, 8, 50, 92, 134)(3, 45, 87, 129, 10, 52, 94, 136, 11, 53, 95, 137)(6, 48, 90, 132, 13, 55, 97, 139, 14, 56, 98, 140)(9, 51, 93, 135, 16, 58, 100, 142, 17, 59, 101, 143)(12, 54, 96, 138, 19, 61, 103, 145, 20, 62, 104, 146)(15, 57, 99, 141, 22, 64, 106, 148, 23, 65, 107, 149)(18, 60, 102, 144, 25, 67, 109, 151, 26, 68, 110, 152)(21, 63, 105, 147, 28, 70, 112, 154, 29, 71, 113, 155)(24, 66, 108, 150, 31, 73, 115, 157, 32, 74, 116, 158)(27, 69, 111, 153, 34, 76, 118, 160, 35, 77, 119, 161)(30, 72, 114, 156, 37, 79, 121, 163, 38, 80, 122, 164)(33, 75, 117, 159, 39, 81, 123, 165, 40, 82, 124, 166)(36, 78, 120, 162, 41, 83, 125, 167, 42, 84, 126, 168)
	L = (1, 44)(2, 48)(3, 43)(4, 50)(5, 49)(6, 54)(7, 56)(8, 55)(9, 45)(10, 47)(11, 46)(12, 60)(13, 62)(14, 61)(15, 51)(16, 53)(17, 52)(18, 66)(19, 68)(20, 67)(21, 57)(22, 59)(23, 58)(24, 72)(25, 74)(26, 73)(27, 63)(28, 65)(29, 64)(30, 78)(31, 80)(32, 79)(33, 69)(34, 71)(35, 70)(36, 75)(37, 84)(38, 83)(39, 77)(40, 76)(41, 82)(42, 81)(85, 129)(86, 127)(87, 135)(88, 137)(89, 136)(90, 128)(91, 131)(92, 130)(93, 141)(94, 143)(95, 142)(96, 132)(97, 134)(98, 133)(99, 147)(100, 149)(101, 148)(102, 138)(103, 140)(104, 139)(105, 153)(106, 155)(107, 154)(108, 144)(109, 146)(110, 145)(111, 159)(112, 161)(113, 160)(114, 150)(115, 152)(116, 151)(117, 162)(118, 166)(119, 165)(120, 156)(121, 158)(122, 157)(123, 168)(124, 167)(125, 164)(126, 163)
	local type(s) :: { ( 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14 ) }
Outer automorphisms :: reflexible
Dual of E26.423
Transitivity :: VT+
Graph:: bipartite
	v = 14 e = 84 f = 20
	degree seq :: [ 12^14 ]

E26.426 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 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 :: [ 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^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y2^14, (Y3 * Y2^-1)^14 ]
Map::
	R = (1, 43, 2, 44, 4, 46)(3, 45, 8, 50, 6, 48)(5, 47, 10, 52, 7, 49)(9, 51, 12, 54, 14, 56)(11, 53, 13, 55, 16, 58)(15, 57, 20, 62, 18, 60)(17, 59, 22, 64, 19, 61)(21, 63, 24, 66, 26, 68)(23, 65, 25, 67, 28, 70)(27, 69, 32, 74, 30, 72)(29, 71, 34, 76, 31, 73)(33, 75, 36, 78, 38, 80)(35, 77, 37, 79, 40, 82)(39, 81, 42, 84, 41, 83)(85, 127, 87, 129, 93, 135, 99, 141, 105, 147, 111, 153, 117, 159, 123, 165, 119, 161, 113, 155, 107, 149, 101, 143, 95, 137, 89, 131)(86, 128, 90, 132, 96, 138, 102, 144, 108, 150, 114, 156, 120, 162, 125, 167, 121, 163, 115, 157, 109, 151, 103, 145, 97, 139, 91, 133)(88, 130, 92, 134, 98, 140, 104, 146, 110, 152, 116, 158, 122, 164, 126, 168, 124, 166, 118, 160, 112, 154, 106, 148, 100, 142, 94, 136)
	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, 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, 6, 28, 6, 28, 6, 28, 6, 28 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 17 e = 84 f = 17
	degree seq :: [ 6^14, 28^3 ]

E26.427 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 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, Y1^3, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y2^14, (Y3 * Y2^-1)^14 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 4, 46)(3, 45, 8, 50, 6, 48)(5, 47, 10, 52, 7, 49)(9, 51, 12, 54, 14, 56)(11, 53, 13, 55, 16, 58)(15, 57, 20, 62, 18, 60)(17, 59, 22, 64, 19, 61)(21, 63, 24, 66, 26, 68)(23, 65, 25, 67, 28, 70)(27, 69, 32, 74, 30, 72)(29, 71, 34, 76, 31, 73)(33, 75, 36, 78, 38, 80)(35, 77, 37, 79, 40, 82)(39, 81, 42, 84, 41, 83)(85, 127, 87, 129, 93, 135, 99, 141, 105, 147, 111, 153, 117, 159, 123, 165, 119, 161, 113, 155, 107, 149, 101, 143, 95, 137, 89, 131)(86, 128, 90, 132, 96, 138, 102, 144, 108, 150, 114, 156, 120, 162, 125, 167, 121, 163, 115, 157, 109, 151, 103, 145, 97, 139, 91, 133)(88, 130, 92, 134, 98, 140, 104, 146, 110, 152, 116, 158, 122, 164, 126, 168, 124, 166, 118, 160, 112, 154, 106, 148, 100, 142, 94, 136)
	L = (1, 86)(2, 88)(3, 92)(4, 85)(5, 94)(6, 87)(7, 89)(8, 90)(9, 96)(10, 91)(11, 97)(12, 98)(13, 100)(14, 93)(15, 104)(16, 95)(17, 106)(18, 99)(19, 101)(20, 102)(21, 108)(22, 103)(23, 109)(24, 110)(25, 112)(26, 105)(27, 116)(28, 107)(29, 118)(30, 111)(31, 113)(32, 114)(33, 120)(34, 115)(35, 121)(36, 122)(37, 124)(38, 117)(39, 126)(40, 119)(41, 123)(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, 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, 6, 28, 6, 28, 6, 28, 6, 28 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 17 e = 84 f = 17
	degree seq :: [ 6^14, 28^3 ]

E26.428 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 14, 14})
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, R^2, Y1^3, (R * Y3)^2, (R * Y1)^2, (Y2, Y1^-1), (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y2^14, (Y3 * Y2^-1)^14 ]
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, 119, 161, 113, 155, 107, 149, 101, 143, 95, 137, 89, 131)(86, 128, 90, 132, 96, 138, 102, 144, 108, 150, 114, 156, 120, 162, 125, 167, 121, 163, 115, 157, 109, 151, 103, 145, 97, 139, 91, 133)(88, 130, 93, 135, 99, 141, 105, 147, 111, 153, 117, 159, 123, 165, 126, 168, 124, 166, 118, 160, 112, 154, 106, 148, 100, 142, 94, 136)
	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, 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, 6, 28, 6, 28, 6, 28, 6, 28 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 17 e = 84 f = 17
	degree seq :: [ 6^14, 28^3 ]

E26.429 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 11, 44})
Quotient :: dipole
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y1 * Y2, (Y2^-1, Y3^-1), (R * Y2)^2, (R * Y3)^2, Y3^-1 * Y1 * Y3 * Y1, (R * Y1)^2, Y2 * Y3^-4 * Y2^-1 * Y3^4, Y3^-11 * Y2^-1, (Y2^-1 * Y3)^11 ]
Map:: non-degenerate
	R = (1, 45, 2, 46)(3, 47, 5, 49)(4, 48, 7, 51)(6, 50, 8, 52)(9, 53, 12, 56)(10, 54, 13, 57)(11, 55, 15, 59)(14, 58, 16, 60)(17, 61, 20, 64)(18, 62, 21, 65)(19, 63, 23, 67)(22, 66, 24, 68)(25, 69, 28, 72)(26, 70, 29, 73)(27, 71, 31, 75)(30, 74, 32, 76)(33, 77, 36, 80)(34, 78, 37, 81)(35, 79, 39, 83)(38, 82, 40, 84)(41, 85, 44, 88)(42, 86, 43, 87)(89, 133, 91, 135, 90, 134, 93, 137)(92, 136, 97, 141, 95, 139, 100, 144)(94, 138, 98, 142, 96, 140, 101, 145)(99, 143, 105, 149, 103, 147, 108, 152)(102, 146, 106, 150, 104, 148, 109, 153)(107, 151, 113, 157, 111, 155, 116, 160)(110, 154, 114, 158, 112, 156, 117, 161)(115, 159, 121, 165, 119, 163, 124, 168)(118, 162, 122, 166, 120, 164, 125, 169)(123, 167, 129, 173, 127, 171, 132, 176)(126, 170, 130, 174, 128, 172, 131, 175)
	L = (1, 92)(2, 95)(3, 97)(4, 99)(5, 100)(6, 89)(7, 103)(8, 90)(9, 105)(10, 91)(11, 107)(12, 108)(13, 93)(14, 94)(15, 111)(16, 96)(17, 113)(18, 98)(19, 115)(20, 116)(21, 101)(22, 102)(23, 119)(24, 104)(25, 121)(26, 106)(27, 123)(28, 124)(29, 109)(30, 110)(31, 127)(32, 112)(33, 129)(34, 114)(35, 131)(36, 132)(37, 117)(38, 118)(39, 130)(40, 120)(41, 126)(42, 122)(43, 125)(44, 128)(45, 133)(46, 134)(47, 135)(48, 136)(49, 137)(50, 138)(51, 139)(52, 140)(53, 141)(54, 142)(55, 143)(56, 144)(57, 145)(58, 146)(59, 147)(60, 148)(61, 149)(62, 150)(63, 151)(64, 152)(65, 153)(66, 154)(67, 155)(68, 156)(69, 157)(70, 158)(71, 159)(72, 160)(73, 161)(74, 162)(75, 163)(76, 164)(77, 165)(78, 166)(79, 167)(80, 168)(81, 169)(82, 170)(83, 171)(84, 172)(85, 173)(86, 174)(87, 175)(88, 176)
	local type(s) :: { ( 22, 88, 22, 88 ), ( 22, 88, 22, 88, 22, 88, 22, 88 ) }
Outer automorphisms :: reflexible
Dual of E26.432
Graph:: bipartite
	v = 33 e = 88 f = 5
	degree seq :: [ 4^22, 8^11 ]

E26.430 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 11, 44})
Quotient :: dipole
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, (R * Y3)^2, Y1^4, (Y2, Y1^-1), (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y2^11, (Y3 * Y2^-1)^44 ]
Map:: non-degenerate
	R = (1, 45, 2, 46, 6, 50, 4, 48)(3, 47, 7, 51, 13, 57, 10, 54)(5, 49, 8, 52, 14, 58, 11, 55)(9, 53, 15, 59, 21, 65, 18, 62)(12, 56, 16, 60, 22, 66, 19, 63)(17, 61, 23, 67, 29, 73, 26, 70)(20, 64, 24, 68, 30, 74, 27, 71)(25, 69, 31, 75, 37, 81, 34, 78)(28, 72, 32, 76, 38, 82, 35, 79)(33, 77, 39, 83, 43, 87, 41, 85)(36, 80, 40, 84, 44, 88, 42, 86)(89, 133, 91, 135, 97, 141, 105, 149, 113, 157, 121, 165, 124, 168, 116, 160, 108, 152, 100, 144, 93, 137)(90, 134, 95, 139, 103, 147, 111, 155, 119, 163, 127, 171, 128, 172, 120, 164, 112, 156, 104, 148, 96, 140)(92, 136, 98, 142, 106, 150, 114, 158, 122, 166, 129, 173, 130, 174, 123, 167, 115, 159, 107, 151, 99, 143)(94, 138, 101, 145, 109, 153, 117, 161, 125, 169, 131, 175, 132, 176, 126, 170, 118, 162, 110, 154, 102, 146)
	L = (1, 90)(2, 94)(3, 95)(4, 89)(5, 96)(6, 92)(7, 101)(8, 102)(9, 103)(10, 91)(11, 93)(12, 104)(13, 98)(14, 99)(15, 109)(16, 110)(17, 111)(18, 97)(19, 100)(20, 112)(21, 106)(22, 107)(23, 117)(24, 118)(25, 119)(26, 105)(27, 108)(28, 120)(29, 114)(30, 115)(31, 125)(32, 126)(33, 127)(34, 113)(35, 116)(36, 128)(37, 122)(38, 123)(39, 131)(40, 132)(41, 121)(42, 124)(43, 129)(44, 130)(45, 133)(46, 134)(47, 135)(48, 136)(49, 137)(50, 138)(51, 139)(52, 140)(53, 141)(54, 142)(55, 143)(56, 144)(57, 145)(58, 146)(59, 147)(60, 148)(61, 149)(62, 150)(63, 151)(64, 152)(65, 153)(66, 154)(67, 155)(68, 156)(69, 157)(70, 158)(71, 159)(72, 160)(73, 161)(74, 162)(75, 163)(76, 164)(77, 165)(78, 166)(79, 167)(80, 168)(81, 169)(82, 170)(83, 171)(84, 172)(85, 173)(86, 174)(87, 175)(88, 176)
	local type(s) :: { ( 4, 88, 4, 88, 4, 88, 4, 88 ), ( 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88 ) }
Outer automorphisms :: reflexible
Dual of E26.431
Graph:: bipartite
	v = 15 e = 88 f = 23
	degree seq :: [ 8^11, 22^4 ]

E26.431 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 11, 44})
Quotient :: dipole
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y3^-2, (Y3^-1, Y1), Y2 * Y1^-1 * Y2 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^5 * Y3^-1 * Y1^6, Y1^-1 * 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 ]
Map:: non-degenerate
	R = (1, 45, 2, 46, 7, 51, 15, 59, 23, 67, 31, 75, 39, 83, 36, 80, 28, 72, 20, 64, 12, 56, 4, 48, 9, 53, 17, 61, 25, 69, 33, 77, 41, 85, 43, 87, 35, 79, 27, 71, 19, 63, 11, 55, 3, 47, 8, 52, 16, 60, 24, 68, 32, 76, 40, 84, 44, 88, 38, 82, 30, 74, 22, 66, 14, 58, 6, 50, 10, 54, 18, 62, 26, 70, 34, 78, 42, 86, 37, 81, 29, 73, 21, 65, 13, 57, 5, 49)(89, 133, 91, 135)(90, 134, 96, 140)(92, 136, 94, 138)(93, 137, 99, 143)(95, 139, 104, 148)(97, 141, 98, 142)(100, 144, 102, 146)(101, 145, 107, 151)(103, 147, 112, 156)(105, 149, 106, 150)(108, 152, 110, 154)(109, 153, 115, 159)(111, 155, 120, 164)(113, 157, 114, 158)(116, 160, 118, 162)(117, 161, 123, 167)(119, 163, 128, 172)(121, 165, 122, 166)(124, 168, 126, 170)(125, 169, 131, 175)(127, 171, 132, 176)(129, 173, 130, 174)
	L = (1, 92)(2, 97)(3, 94)(4, 91)(5, 100)(6, 89)(7, 105)(8, 98)(9, 96)(10, 90)(11, 102)(12, 99)(13, 108)(14, 93)(15, 113)(16, 106)(17, 104)(18, 95)(19, 110)(20, 107)(21, 116)(22, 101)(23, 121)(24, 114)(25, 112)(26, 103)(27, 118)(28, 115)(29, 124)(30, 109)(31, 129)(32, 122)(33, 120)(34, 111)(35, 126)(36, 123)(37, 127)(38, 117)(39, 131)(40, 130)(41, 128)(42, 119)(43, 132)(44, 125)(45, 133)(46, 134)(47, 135)(48, 136)(49, 137)(50, 138)(51, 139)(52, 140)(53, 141)(54, 142)(55, 143)(56, 144)(57, 145)(58, 146)(59, 147)(60, 148)(61, 149)(62, 150)(63, 151)(64, 152)(65, 153)(66, 154)(67, 155)(68, 156)(69, 157)(70, 158)(71, 159)(72, 160)(73, 161)(74, 162)(75, 163)(76, 164)(77, 165)(78, 166)(79, 167)(80, 168)(81, 169)(82, 170)(83, 171)(84, 172)(85, 173)(86, 174)(87, 175)(88, 176)
	local type(s) :: { ( 8, 22, 8, 22 ), ( 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22, 8, 22 ) }
Outer automorphisms :: reflexible
Dual of E26.430
Graph:: bipartite
	v = 23 e = 88 f = 15
	degree seq :: [ 4^22, 88 ]

E26.432 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 11, 44})
Quotient :: dipole
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1, Y2), Y3^2 * Y2^-2, (Y3^-1, Y1^-1), Y1^-2 * Y3^-1 * Y2^-1, (Y3^-1, Y2), (R * Y1)^2, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y1 * Y3 * Y2^-1 * Y1^-1 * Y3, Y1 * Y3^-1 * Y1^8 * Y2^-1, Y3^-1 * Y2^-1 * Y1^2 * Y2^-1 * Y1 * Y3^-1 * Y2^-4, Y2^44 ]
Map:: non-degenerate
	R = (1, 45, 2, 46, 8, 52, 19, 63, 29, 73, 37, 81, 43, 87, 33, 77, 28, 72, 14, 58, 5, 49)(3, 47, 9, 53, 7, 51, 12, 56, 21, 65, 31, 75, 39, 83, 41, 85, 36, 80, 26, 70, 15, 59)(4, 48, 10, 54, 6, 50, 11, 55, 20, 64, 30, 74, 38, 82, 42, 86, 35, 79, 25, 69, 17, 61)(13, 57, 22, 66, 16, 60, 23, 67, 18, 62, 24, 68, 32, 76, 40, 84, 44, 88, 34, 78, 27, 71)(89, 133, 91, 135, 101, 145, 113, 157, 121, 165, 129, 173, 128, 172, 118, 162, 107, 151, 100, 144, 111, 155, 98, 142, 93, 137, 103, 147, 115, 159, 123, 167, 131, 175, 127, 171, 120, 164, 108, 152, 96, 140, 95, 139, 104, 148, 92, 136, 102, 146, 114, 158, 122, 166, 130, 174, 125, 169, 119, 163, 112, 156, 99, 143, 90, 134, 97, 141, 110, 154, 105, 149, 116, 160, 124, 168, 132, 176, 126, 170, 117, 161, 109, 153, 106, 150, 94, 138)
	L = (1, 92)(2, 98)(3, 102)(4, 101)(5, 105)(6, 104)(7, 89)(8, 94)(9, 93)(10, 110)(11, 111)(12, 90)(13, 114)(14, 113)(15, 116)(16, 91)(17, 115)(18, 95)(19, 99)(20, 106)(21, 96)(22, 103)(23, 97)(24, 100)(25, 122)(26, 121)(27, 124)(28, 123)(29, 108)(30, 112)(31, 107)(32, 109)(33, 130)(34, 129)(35, 132)(36, 131)(37, 118)(38, 120)(39, 117)(40, 119)(41, 125)(42, 128)(43, 126)(44, 127)(45, 133)(46, 134)(47, 135)(48, 136)(49, 137)(50, 138)(51, 139)(52, 140)(53, 141)(54, 142)(55, 143)(56, 144)(57, 145)(58, 146)(59, 147)(60, 148)(61, 149)(62, 150)(63, 151)(64, 152)(65, 153)(66, 154)(67, 155)(68, 156)(69, 157)(70, 158)(71, 159)(72, 160)(73, 161)(74, 162)(75, 163)(76, 164)(77, 165)(78, 166)(79, 167)(80, 168)(81, 169)(82, 170)(83, 171)(84, 172)(85, 173)(86, 174)(87, 175)(88, 176)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.429
Graph:: bipartite
	v = 5 e = 88 f = 33
	degree seq :: [ 22^4, 88 ]

E26.433 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 11, 44})
Quotient :: dipole
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y1, (R * Y1)^2, (R * Y2)^2, Y2 * Y1 * Y2^-1 * Y1, Y2 * Y1 * Y3^-1 * Y2 * Y3^-1, Y2^-1 * Y1 * Y3^2 * Y2^-1, Y2^11, Y3^44 ]
Map:: non-degenerate
	R = (1, 45, 2, 46)(3, 47, 7, 51)(4, 48, 8, 52)(5, 49, 9, 53)(6, 50, 10, 54)(11, 55, 14, 58)(12, 56, 19, 63)(13, 57, 15, 59)(16, 60, 18, 62)(17, 61, 20, 64)(21, 65, 23, 67)(22, 66, 24, 68)(25, 69, 27, 71)(26, 70, 28, 72)(29, 73, 31, 75)(30, 74, 32, 76)(33, 77, 35, 79)(34, 78, 36, 80)(37, 81, 39, 83)(38, 82, 40, 84)(41, 85, 43, 87)(42, 86, 44, 88)(89, 133, 91, 135, 99, 143, 109, 153, 117, 161, 125, 169, 129, 173, 121, 165, 113, 157, 104, 148, 93, 137)(90, 134, 95, 139, 102, 146, 111, 155, 119, 163, 127, 171, 131, 175, 123, 167, 115, 159, 106, 150, 97, 141)(92, 136, 100, 144, 110, 154, 118, 162, 126, 170, 132, 176, 124, 168, 116, 160, 108, 152, 98, 142, 103, 147)(94, 138, 101, 145, 96, 140, 107, 151, 112, 156, 120, 164, 128, 172, 130, 174, 122, 166, 114, 158, 105, 149)
	L = (1, 92)(2, 96)(3, 100)(4, 102)(5, 103)(6, 89)(7, 107)(8, 99)(9, 101)(10, 90)(11, 110)(12, 111)(13, 91)(14, 112)(15, 95)(16, 98)(17, 93)(18, 94)(19, 109)(20, 97)(21, 118)(22, 119)(23, 120)(24, 117)(25, 108)(26, 104)(27, 105)(28, 106)(29, 126)(30, 127)(31, 128)(32, 125)(33, 116)(34, 113)(35, 114)(36, 115)(37, 132)(38, 131)(39, 130)(40, 129)(41, 124)(42, 121)(43, 122)(44, 123)(45, 133)(46, 134)(47, 135)(48, 136)(49, 137)(50, 138)(51, 139)(52, 140)(53, 141)(54, 142)(55, 143)(56, 144)(57, 145)(58, 146)(59, 147)(60, 148)(61, 149)(62, 150)(63, 151)(64, 152)(65, 153)(66, 154)(67, 155)(68, 156)(69, 157)(70, 158)(71, 159)(72, 160)(73, 161)(74, 162)(75, 163)(76, 164)(77, 165)(78, 166)(79, 167)(80, 168)(81, 169)(82, 170)(83, 171)(84, 172)(85, 173)(86, 174)(87, 175)(88, 176)
	local type(s) :: { ( 8, 88, 8, 88 ), ( 8, 88, 8, 88, 8, 88, 8, 88, 8, 88, 8, 88, 8, 88, 8, 88, 8, 88, 8, 88, 8, 88 ) }
Outer automorphisms :: reflexible
Dual of E26.434
Graph:: simple bipartite
	v = 26 e = 88 f = 12
	degree seq :: [ 4^22, 22^4 ]

E26.434 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 11, 44})
Quotient :: dipole
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, Y1^4, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (Y2, Y1^-1), (R * Y2 * Y3^-1)^2, Y2^-11 * Y1^-1, (Y3 * Y2^-1)^11 ]
Map:: non-degenerate
	R = (1, 45, 2, 46, 6, 50, 4, 48)(3, 47, 7, 51, 13, 57, 10, 54)(5, 49, 8, 52, 14, 58, 11, 55)(9, 53, 15, 59, 21, 65, 18, 62)(12, 56, 16, 60, 22, 66, 19, 63)(17, 61, 23, 67, 29, 73, 26, 70)(20, 64, 24, 68, 30, 74, 27, 71)(25, 69, 31, 75, 37, 81, 34, 78)(28, 72, 32, 76, 38, 82, 35, 79)(33, 77, 39, 83, 43, 87, 42, 86)(36, 80, 40, 84, 44, 88, 41, 85)(89, 133, 91, 135, 97, 141, 105, 149, 113, 157, 121, 165, 129, 173, 123, 167, 115, 159, 107, 151, 99, 143, 92, 136, 98, 142, 106, 150, 114, 158, 122, 166, 130, 174, 132, 176, 126, 170, 118, 162, 110, 154, 102, 146, 94, 138, 101, 145, 109, 153, 117, 161, 125, 169, 131, 175, 128, 172, 120, 164, 112, 156, 104, 148, 96, 140, 90, 134, 95, 139, 103, 147, 111, 155, 119, 163, 127, 171, 124, 168, 116, 160, 108, 152, 100, 144, 93, 137)
	L = (1, 90)(2, 94)(3, 95)(4, 89)(5, 96)(6, 92)(7, 101)(8, 102)(9, 103)(10, 91)(11, 93)(12, 104)(13, 98)(14, 99)(15, 109)(16, 110)(17, 111)(18, 97)(19, 100)(20, 112)(21, 106)(22, 107)(23, 117)(24, 118)(25, 119)(26, 105)(27, 108)(28, 120)(29, 114)(30, 115)(31, 125)(32, 126)(33, 127)(34, 113)(35, 116)(36, 128)(37, 122)(38, 123)(39, 131)(40, 132)(41, 124)(42, 121)(43, 130)(44, 129)(45, 133)(46, 134)(47, 135)(48, 136)(49, 137)(50, 138)(51, 139)(52, 140)(53, 141)(54, 142)(55, 143)(56, 144)(57, 145)(58, 146)(59, 147)(60, 148)(61, 149)(62, 150)(63, 151)(64, 152)(65, 153)(66, 154)(67, 155)(68, 156)(69, 157)(70, 158)(71, 159)(72, 160)(73, 161)(74, 162)(75, 163)(76, 164)(77, 165)(78, 166)(79, 167)(80, 168)(81, 169)(82, 170)(83, 171)(84, 172)(85, 173)(86, 174)(87, 175)(88, 176)
	local type(s) :: { ( 4, 22, 4, 22, 4, 22, 4, 22 ), ( 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22 ) }
Outer automorphisms :: reflexible
Dual of E26.433
Graph:: bipartite
	v = 12 e = 88 f = 26
	degree seq :: [ 8^11, 88 ]

E26.435 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 8})
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, (Y1, Y3^-1), Y2 * Y1 * Y2^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y2^4, Y2^2 * Y1^-1 * Y2^2 * Y1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2^-1, Y3^-4 * Y1^-1 * Y2^-2, Y2^-2 * Y3 * Y1 * Y3^3, Y2^-2 * Y3 * Y1^-1 * Y3^3 * Y1^-1 ]
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, 44, 92, 48, 96)(34, 82, 45, 93, 37, 85)(35, 83, 39, 87, 46, 94)(36, 84, 47, 95, 43, 91)(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, 140, 188, 123, 171)(107, 155, 120, 168, 141, 189, 124, 172)(112, 160, 132, 180, 138, 186, 135, 183)(113, 161, 128, 176, 144, 192, 136, 184)(116, 164, 127, 175, 133, 181, 137, 185)(118, 166, 131, 179, 122, 170, 139, 187)(125, 173, 142, 190, 134, 182, 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, 133)(17, 134)(18, 102)(19, 137)(20, 101)(21, 139)(22, 103)(23, 140)(24, 142)(25, 104)(26, 130)(27, 106)(28, 143)(29, 107)(30, 144)(31, 135)(32, 108)(33, 138)(34, 109)(35, 123)(36, 111)(37, 126)(38, 141)(39, 114)(40, 115)(41, 132)(42, 116)(43, 121)(44, 118)(45, 119)(46, 136)(47, 128)(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) :: { ( 8, 16, 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E26.436
Graph:: simple bipartite
	v = 28 e = 96 f = 18
	degree seq :: [ 6^16, 8^12 ]

E26.436 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 8})
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, Y3^-1), Y3 * Y1 * Y3 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y1, (R * Y1)^2, Y1^4, (R * Y3)^2, (R * Y2)^2, Y3^-1 * Y1^-1 * Y3^2 * Y2 * Y1^-1, Y3 * Y1^-1 * Y3^-2 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y3^2 * Y2^-1, Y2^3 * Y1^-1 * Y2^-1 * Y1^-1 ]
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, 22, 70, 29, 77)(14, 62, 35, 83, 24, 72, 32, 80)(16, 64, 33, 81, 43, 91, 39, 87)(17, 65, 36, 84, 23, 71, 30, 78)(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, 123, 171, 104, 152, 121, 169, 118, 166, 102, 150)(98, 146, 105, 153, 125, 173, 111, 159, 101, 149, 116, 164, 130, 178, 107, 155)(100, 148, 110, 158, 133, 181, 140, 188, 122, 170, 120, 168, 136, 184, 115, 163)(103, 151, 112, 160, 134, 182, 113, 161, 124, 172, 139, 187, 138, 186, 119, 167)(106, 154, 126, 174, 141, 189, 135, 183, 117, 165, 132, 180, 143, 191, 129, 177)(108, 156, 127, 175, 142, 190, 128, 176, 114, 162, 137, 185, 144, 192, 131, 179)
	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, 133)(14, 124)(15, 135)(16, 99)(17, 123)(18, 101)(19, 134)(20, 132)(21, 131)(22, 136)(23, 102)(24, 103)(25, 120)(26, 119)(27, 140)(28, 104)(29, 141)(30, 114)(31, 105)(32, 111)(33, 142)(34, 143)(35, 107)(36, 108)(37, 139)(38, 109)(39, 144)(40, 112)(41, 116)(42, 118)(43, 121)(44, 138)(45, 137)(46, 125)(47, 127)(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, 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 E26.435
Graph:: bipartite
	v = 18 e = 96 f = 28
	degree seq :: [ 8^12, 16^6 ]

E26.437 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 8})
Quotient :: dipole
Aut^+ = C3 : Q16 (small group id <48, 18>)
Aut   = (C8 x S3) : C2 (small group id <96, 123>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^4, Y2^-1 * Y1^-1 * Y2 * Y1^-1, (R * Y1)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2, (R * Y3)^2, Y3^-1 * Y1 * Y3 * Y1, Y3 * Y2^-1 * Y3^-3 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-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, 19, 67, 10, 58)(7, 55, 20, 68, 11, 59)(13, 61, 23, 71, 30, 78)(14, 62, 24, 72, 31, 79)(15, 63, 25, 73, 32, 80)(17, 65, 26, 74, 37, 85)(18, 66, 27, 75, 38, 86)(21, 69, 28, 76, 39, 87)(22, 70, 29, 77, 40, 88)(33, 81, 45, 93, 41, 89)(34, 82, 46, 94, 42, 90)(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, 128, 176, 141, 189, 134, 182)(113, 161, 132, 180, 118, 166, 131, 179)(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, 113)(5, 112)(6, 117)(7, 97)(8, 120)(9, 122)(10, 124)(11, 98)(12, 127)(13, 129)(14, 131)(15, 99)(16, 133)(17, 130)(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, 16, 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E26.441
Graph:: simple bipartite
	v = 28 e = 96 f = 18
	degree seq :: [ 6^16, 8^12 ]

E26.438 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 8})
Quotient :: dipole
Aut^+ = C3 : Q16 (small group id <48, 18>)
Aut   = (C2 x (C3 : C8)) : C2 (small group id <96, 157>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^4, Y3^-1 * Y2^-1 * Y3^-1 * Y2, (R * Y3)^2, (Y2, Y1^-1), (R * Y1)^2, Y3^-1 * Y1 * Y3 * Y1, Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y3^-3 * Y2^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 8, 56, 14, 62)(4, 52, 16, 64, 9, 57)(6, 54, 10, 58, 19, 67)(7, 55, 20, 68, 11, 59)(12, 60, 23, 71, 31, 79)(13, 61, 33, 81, 24, 72)(15, 63, 35, 83, 25, 73)(17, 65, 26, 74, 37, 85)(18, 66, 38, 86, 27, 75)(21, 69, 39, 87, 28, 76)(22, 70, 29, 77, 40, 88)(30, 78, 45, 93, 41, 89)(32, 80, 46, 94, 42, 90)(34, 82, 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, 131, 179, 141, 189, 134, 182)(113, 161, 132, 180, 118, 166, 130, 178)(116, 164, 129, 177, 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, 113)(5, 112)(6, 117)(7, 97)(8, 120)(9, 122)(10, 124)(11, 98)(12, 126)(13, 130)(14, 129)(15, 99)(16, 133)(17, 128)(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, 143)(34, 114)(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, 16, 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E26.442
Graph:: simple bipartite
	v = 28 e = 96 f = 18
	degree seq :: [ 6^16, 8^12 ]

E26.439 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 8})
Quotient :: dipole
Aut^+ = C3 : Q16 (small group id <48, 18>)
Aut   = (C8 x S3) : C2 (small group id <96, 123>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^2, Y2^-2 * Y1^-2, Y2^4, Y3^-1 * Y2^-2 * Y3^-1, Y3 * Y2^-2 * Y3, (R * Y1)^2, Y3^-1 * Y1^-2 * Y3^-1, (R * Y3)^2, Y1 * Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y3, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1, Y2^-1 * Y3 * R * Y2^-1 * R * Y3^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^3, Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2, (Y3^-1 * Y2)^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 6, 54, 15, 63)(4, 52, 17, 65, 7, 55, 19, 67)(9, 57, 21, 69, 11, 59, 23, 71)(10, 58, 25, 73, 12, 60, 27, 75)(14, 62, 31, 79, 16, 64, 33, 81)(18, 66, 35, 83, 20, 68, 36, 84)(22, 70, 39, 87, 24, 72, 41, 89)(26, 74, 43, 91, 28, 76, 44, 92)(29, 77, 38, 86, 30, 78, 37, 85)(32, 80, 45, 93, 34, 82, 46, 94)(40, 88, 47, 95, 42, 90, 48, 96)(97, 145, 99, 147, 104, 152, 102, 150)(98, 146, 105, 153, 101, 149, 107, 155)(100, 148, 114, 162, 103, 151, 116, 164)(106, 154, 122, 170, 108, 156, 124, 172)(109, 157, 125, 173, 111, 159, 126, 174)(110, 158, 128, 176, 112, 160, 130, 178)(113, 161, 127, 175, 115, 163, 129, 177)(117, 165, 133, 181, 119, 167, 134, 182)(118, 166, 136, 184, 120, 168, 138, 186)(121, 169, 135, 183, 123, 171, 137, 185)(131, 179, 142, 190, 132, 180, 141, 189)(139, 187, 144, 192, 140, 188, 143, 191)
	L = (1, 100)(2, 106)(3, 110)(4, 104)(5, 108)(6, 112)(7, 97)(8, 103)(9, 118)(10, 101)(11, 120)(12, 98)(13, 122)(14, 102)(15, 124)(16, 99)(17, 123)(18, 117)(19, 121)(20, 119)(21, 116)(22, 107)(23, 114)(24, 105)(25, 113)(26, 111)(27, 115)(28, 109)(29, 138)(30, 136)(31, 140)(32, 134)(33, 139)(34, 133)(35, 137)(36, 135)(37, 128)(38, 130)(39, 131)(40, 125)(41, 132)(42, 126)(43, 127)(44, 129)(45, 143)(46, 144)(47, 142)(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) :: { ( 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E26.440
Graph:: bipartite
	v = 24 e = 96 f = 22
	degree seq :: [ 8^24 ]

E26.440 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 8})
Quotient :: dipole
Aut^+ = C3 : Q16 (small group id <48, 18>)
Aut   = (C8 x S3) : C2 (small group id <96, 123>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3 * Y1^-1 * Y3^-1 * Y1^-1, R * Y2 * R * Y2^-1, Y3^-1 * Y2^-1 * Y3 * Y2^-1, (R * Y1)^2, Y2^-1 * Y1 * Y2^-1 * Y1^-1, (R * Y3)^2, Y3^4, Y3^2 * Y1^-4, Y3^-1 * Y1^2 * Y3^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 23, 71, 18, 66, 31, 79, 20, 68, 5, 53)(3, 51, 11, 59, 24, 72, 42, 90, 34, 82, 48, 96, 35, 83, 14, 62)(4, 52, 16, 64, 27, 75, 12, 60, 7, 55, 21, 69, 25, 73, 10, 58)(6, 54, 9, 57, 26, 74, 41, 89, 38, 86, 47, 95, 39, 87, 19, 67)(13, 61, 33, 81, 44, 92, 32, 80, 15, 63, 36, 84, 43, 91, 30, 78)(17, 65, 37, 85, 46, 94, 29, 77, 22, 70, 40, 88, 45, 93, 28, 76)(97, 145, 99, 147, 102, 150)(98, 146, 105, 153, 107, 155)(100, 148, 113, 161, 109, 157)(101, 149, 115, 163, 110, 158)(103, 151, 118, 166, 111, 159)(104, 152, 120, 168, 122, 170)(106, 154, 126, 174, 124, 172)(108, 156, 128, 176, 125, 173)(112, 160, 129, 177, 133, 181)(114, 162, 130, 178, 134, 182)(116, 164, 131, 179, 135, 183)(117, 165, 132, 180, 136, 184)(119, 167, 137, 185, 138, 186)(121, 169, 141, 189, 139, 187)(123, 171, 142, 190, 140, 188)(127, 175, 143, 191, 144, 192)
	L = (1, 100)(2, 106)(3, 109)(4, 114)(5, 112)(6, 113)(7, 97)(8, 121)(9, 124)(10, 127)(11, 126)(12, 98)(13, 130)(14, 129)(15, 99)(16, 119)(17, 134)(18, 103)(19, 133)(20, 123)(21, 101)(22, 102)(23, 117)(24, 139)(25, 116)(26, 141)(27, 104)(28, 143)(29, 105)(30, 144)(31, 108)(32, 107)(33, 138)(34, 111)(35, 140)(36, 110)(37, 137)(38, 118)(39, 142)(40, 115)(41, 136)(42, 132)(43, 131)(44, 120)(45, 135)(46, 122)(47, 125)(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) :: { ( 8^6 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E26.439
Graph:: simple bipartite
	v = 22 e = 96 f = 24
	degree seq :: [ 6^16, 16^6 ]

E26.441 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 8})
Quotient :: dipole
Aut^+ = C3 : Q16 (small group id <48, 18>)
Aut   = (C8 x S3) : C2 (small group id <96, 123>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y1^4, (R * Y1)^2, (R * Y3)^2, Y3^2 * Y2^-2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^-1 * Y3^-2 * Y2^-1 * Y1^-1, Y3^2 * Y1^-1 * Y2^-2 * Y1^-1, (Y3^-1 * Y2)^3, Y2^-1 * Y1^-2 * Y2 * Y1^-2, Y3^2 * Y1 * Y2^2 * Y1^-1 ]
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, 22, 70, 29, 77)(14, 62, 35, 83, 23, 71, 30, 78)(16, 64, 31, 79, 43, 91, 39, 87)(17, 65, 36, 84, 24, 72, 32, 80)(19, 67, 33, 81, 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, 123, 171, 104, 152, 121, 169, 118, 166, 102, 150)(98, 146, 105, 153, 125, 173, 111, 159, 101, 149, 116, 164, 130, 178, 107, 155)(100, 148, 113, 161, 124, 172, 140, 188, 122, 170, 120, 168, 103, 151, 115, 163)(106, 154, 128, 176, 114, 162, 137, 185, 117, 165, 132, 180, 108, 156, 129, 177)(110, 158, 133, 181, 139, 187, 138, 186, 119, 167, 136, 184, 112, 160, 134, 182)(126, 174, 141, 189, 135, 183, 144, 192, 131, 179, 143, 191, 127, 175, 142, 190)
	L = (1, 100)(2, 106)(3, 110)(4, 109)(5, 117)(6, 112)(7, 97)(8, 122)(9, 126)(10, 125)(11, 127)(12, 98)(13, 124)(14, 123)(15, 135)(16, 99)(17, 133)(18, 101)(19, 134)(20, 131)(21, 130)(22, 103)(23, 102)(24, 136)(25, 119)(26, 118)(27, 139)(28, 104)(29, 114)(30, 111)(31, 105)(32, 141)(33, 142)(34, 108)(35, 107)(36, 143)(37, 140)(38, 113)(39, 116)(40, 115)(41, 144)(42, 120)(43, 121)(44, 138)(45, 137)(46, 128)(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) :: { ( 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 E26.437
Graph:: bipartite
	v = 18 e = 96 f = 28
	degree seq :: [ 8^12, 16^6 ]

E26.442 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 8})
Quotient :: dipole
Aut^+ = C3 : Q16 (small group id <48, 18>)
Aut   = (C2 x (C3 : C8)) : C2 (small group id <96, 157>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y2^2 * Y3^-2, Y1^4, (R * Y3)^2, (R * Y1)^2, Y3^2 * Y1 * Y2^2 * Y1^-1, Y3^-1 * Y1^-1 * Y2^-1 * Y1 * Y3^-1 * Y2, Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3^2 * Y1^-1 * Y2^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2 * Y1^2 * Y2^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2 * Y1^-1, Y1^-1 * Y3^-4 * Y1^-1, Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y1^-1, Y2^-1 * Y1^-1 * Y3 * Y2 * Y3 * Y1^-1, Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1^-1, Y1^-1 * R * Y2 * Y1^-1 * R * Y2^-1, Y3^2 * Y2^6 ]
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, 42, 90, 26, 74, 34, 82)(15, 63, 44, 92, 27, 75, 38, 86)(17, 65, 39, 87, 47, 95, 46, 94)(18, 66, 43, 91, 28, 76, 35, 83)(20, 68, 37, 85, 48, 96, 45, 93)(97, 145, 99, 147, 110, 158, 127, 175, 104, 152, 125, 173, 122, 170, 102, 150)(98, 146, 105, 153, 130, 178, 119, 167, 101, 149, 117, 165, 138, 186, 107, 155)(100, 148, 114, 162, 128, 176, 144, 192, 126, 174, 124, 172, 103, 151, 116, 164)(106, 154, 134, 182, 115, 163, 142, 190, 118, 166, 140, 188, 108, 156, 135, 183)(109, 157, 133, 181, 120, 168, 131, 179, 112, 160, 141, 189, 121, 169, 139, 187)(111, 159, 129, 177, 143, 191, 136, 184, 123, 171, 132, 180, 113, 161, 137, 185)
	L = (1, 100)(2, 106)(3, 111)(4, 110)(5, 118)(6, 113)(7, 97)(8, 126)(9, 131)(10, 130)(11, 133)(12, 98)(13, 135)(14, 128)(15, 127)(16, 142)(17, 99)(18, 129)(19, 101)(20, 137)(21, 139)(22, 138)(23, 141)(24, 134)(25, 140)(26, 103)(27, 102)(28, 132)(29, 123)(30, 122)(31, 143)(32, 104)(33, 144)(34, 115)(35, 119)(36, 116)(37, 105)(38, 112)(39, 120)(40, 124)(41, 114)(42, 108)(43, 107)(44, 109)(45, 117)(46, 121)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.438
Graph:: bipartite
	v = 18 e = 96 f = 28
	degree seq :: [ 8^12, 16^6 ]

E26.443 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 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, Y3^-1 * Y2^-1 * Y3^-1 * Y2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y2 * Y1^-1 * Y3^-2 * Y1, Y2^-2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2^-1 * Y3^-3 * Y2^-1, Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1, Y3^-1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y1, Y1 * Y3^-1 * Y1 * Y2^-2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 15, 63)(4, 52, 17, 65, 19, 67)(6, 54, 25, 73, 27, 75)(7, 55, 28, 76, 29, 77)(8, 56, 31, 79, 18, 66)(9, 57, 20, 68, 35, 83)(10, 58, 37, 85, 30, 78)(11, 59, 39, 87, 40, 88)(13, 61, 32, 80, 42, 90)(14, 62, 44, 92, 33, 81)(16, 64, 24, 72, 46, 94)(21, 69, 47, 95, 34, 82)(22, 70, 36, 84, 43, 91)(23, 71, 45, 93, 41, 89)(26, 74, 48, 96, 38, 86)(97, 145, 99, 147, 109, 157, 102, 150)(98, 146, 104, 152, 128, 176, 106, 154)(100, 148, 112, 160, 135, 183, 116, 164)(101, 149, 117, 165, 138, 186, 119, 167)(103, 151, 110, 158, 139, 187, 122, 170)(105, 153, 125, 173, 142, 190, 132, 180)(107, 155, 129, 177, 115, 163, 134, 182)(108, 156, 137, 185, 121, 169, 130, 178)(111, 159, 127, 175, 123, 171, 133, 181)(113, 161, 118, 166, 136, 184, 124, 172)(114, 162, 143, 191, 126, 174, 141, 189)(120, 168, 140, 188, 131, 179, 144, 192)
	L = (1, 100)(2, 105)(3, 110)(4, 114)(5, 118)(6, 122)(7, 97)(8, 129)(9, 130)(10, 134)(11, 98)(12, 125)(13, 135)(14, 141)(15, 131)(16, 99)(17, 119)(18, 139)(19, 128)(20, 102)(21, 140)(22, 111)(23, 144)(24, 101)(25, 132)(26, 143)(27, 120)(28, 123)(29, 104)(30, 103)(31, 136)(32, 142)(33, 121)(34, 115)(35, 138)(36, 106)(37, 113)(38, 108)(39, 126)(40, 117)(41, 107)(42, 124)(43, 109)(44, 133)(45, 116)(46, 137)(47, 112)(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) :: { ( 8, 16, 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E26.454
Graph:: simple bipartite
	v = 28 e = 96 f = 18
	degree seq :: [ 6^16, 8^12 ]

E26.444 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 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 * Y3 * Y2^-1 * Y3, (R * Y1)^2, Y2^4, (R * Y3)^2, Y3 * Y2^-1 * Y1 * Y3 * Y1, Y2 * Y1^-1 * Y3^2 * Y1, (R * Y2 * Y3^-1)^2, Y2^-2 * Y1 * Y2^-2 * Y1^-1, Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y3^-1 * Y2, Y2^-1 * Y1 * Y2^-1 * Y3^2 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y3^3 * Y2^-1 * Y3^-1, Y3 * Y1 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 15, 63)(4, 52, 17, 65, 19, 67)(6, 54, 25, 73, 27, 75)(7, 55, 28, 76, 29, 77)(8, 56, 31, 79, 30, 78)(9, 57, 16, 64, 36, 84)(10, 58, 37, 85, 18, 66)(11, 59, 39, 87, 40, 88)(13, 61, 32, 80, 42, 90)(14, 62, 44, 92, 33, 81)(20, 68, 24, 72, 47, 95)(21, 69, 46, 94, 41, 89)(22, 70, 34, 82, 43, 91)(23, 71, 45, 93, 35, 83)(26, 74, 48, 96, 38, 86)(97, 145, 99, 147, 109, 157, 102, 150)(98, 146, 104, 152, 128, 176, 106, 154)(100, 148, 112, 160, 135, 183, 116, 164)(101, 149, 117, 165, 138, 186, 119, 167)(103, 151, 110, 158, 139, 187, 122, 170)(105, 153, 130, 178, 143, 191, 125, 173)(107, 155, 129, 177, 115, 163, 134, 182)(108, 156, 137, 185, 121, 169, 131, 179)(111, 159, 133, 181, 123, 171, 127, 175)(113, 161, 124, 172, 136, 184, 118, 166)(114, 162, 142, 190, 126, 174, 141, 189)(120, 168, 140, 188, 132, 180, 144, 192)
	L = (1, 100)(2, 105)(3, 110)(4, 114)(5, 118)(6, 122)(7, 97)(8, 129)(9, 131)(10, 134)(11, 98)(12, 130)(13, 135)(14, 141)(15, 120)(16, 99)(17, 117)(18, 139)(19, 128)(20, 102)(21, 140)(22, 123)(23, 144)(24, 101)(25, 125)(26, 142)(27, 132)(28, 111)(29, 106)(30, 103)(31, 113)(32, 143)(33, 121)(34, 104)(35, 115)(36, 138)(37, 136)(38, 108)(39, 126)(40, 119)(41, 107)(42, 124)(43, 109)(44, 133)(45, 116)(46, 112)(47, 137)(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) :: { ( 8, 16, 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E26.453
Graph:: simple bipartite
	v = 28 e = 96 f = 18
	degree seq :: [ 6^16, 8^12 ]

E26.445 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 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, Y2^2 * Y3^-2, Y3 * Y2 * Y3 * Y2^-1, Y2^-2 * Y3^-2, Y3^-1 * Y2^-1 * Y3 * Y2^-1, (R * Y1)^2, Y3^4, R * Y2 * R * Y2^-1, (R * Y3)^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y3^-1 * Y1 * Y3^-2 * Y1^-1 * Y3^-1, Y3 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y1, (Y3 * Y1^-1)^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 8, 56)(4, 52, 16, 64, 17, 65)(6, 54, 19, 67, 10, 58)(7, 55, 21, 69, 22, 70)(9, 57, 26, 74, 27, 75)(11, 59, 28, 76, 29, 77)(13, 61, 23, 71, 30, 78)(14, 62, 33, 81, 34, 82)(15, 63, 35, 83, 36, 84)(18, 66, 41, 89, 42, 90)(20, 68, 43, 91, 44, 92)(24, 72, 37, 85, 45, 93)(25, 73, 38, 86, 46, 94)(31, 79, 47, 95, 40, 88)(32, 80, 48, 96, 39, 87)(97, 145, 99, 147, 109, 157, 102, 150)(98, 146, 104, 152, 119, 167, 106, 154)(100, 148, 111, 159, 103, 151, 110, 158)(101, 149, 108, 156, 126, 174, 115, 163)(105, 153, 121, 169, 107, 155, 120, 168)(112, 160, 132, 180, 117, 165, 130, 178)(113, 161, 131, 179, 118, 166, 129, 177)(114, 162, 128, 176, 116, 164, 127, 175)(122, 170, 142, 190, 124, 172, 141, 189)(123, 171, 134, 182, 125, 173, 133, 181)(135, 183, 139, 187, 136, 184, 137, 185)(138, 186, 144, 192, 140, 188, 143, 191)
	L = (1, 100)(2, 105)(3, 110)(4, 109)(5, 114)(6, 111)(7, 97)(8, 120)(9, 119)(10, 121)(11, 98)(12, 127)(13, 103)(14, 102)(15, 99)(16, 133)(17, 135)(18, 126)(19, 128)(20, 101)(21, 134)(22, 136)(23, 107)(24, 106)(25, 104)(26, 143)(27, 132)(28, 144)(29, 130)(30, 116)(31, 115)(32, 108)(33, 139)(34, 123)(35, 137)(36, 125)(37, 117)(38, 112)(39, 118)(40, 113)(41, 129)(42, 142)(43, 131)(44, 141)(45, 138)(46, 140)(47, 124)(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, 16, 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E26.452
Graph:: simple bipartite
	v = 28 e = 96 f = 18
	degree seq :: [ 6^16, 8^12 ]

E26.446 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 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, Y3 * Y2 * Y3^-1 * Y2, Y2^-2 * Y3^-2, Y2 * Y1 * Y2^-1 * Y1, Y2^4, Y3^-1 * Y2 * Y3^-1 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y2^-1, Y2^-2 * Y3^2, (R * Y1)^2, Y3^-1 * Y1 * Y2^2 * Y1^-1 * Y3^-1, Y2 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1, (Y3^-1 * Y1^-1)^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 8, 56)(4, 52, 16, 64, 17, 65)(6, 54, 19, 67, 10, 58)(7, 55, 21, 69, 22, 70)(9, 57, 26, 74, 27, 75)(11, 59, 28, 76, 29, 77)(13, 61, 23, 71, 30, 78)(14, 62, 33, 81, 34, 82)(15, 63, 35, 83, 36, 84)(18, 66, 41, 89, 42, 90)(20, 68, 43, 91, 44, 92)(24, 72, 38, 86, 45, 93)(25, 73, 37, 85, 46, 94)(31, 79, 48, 96, 39, 87)(32, 80, 47, 95, 40, 88)(97, 145, 99, 147, 109, 157, 102, 150)(98, 146, 104, 152, 119, 167, 106, 154)(100, 148, 111, 159, 103, 151, 110, 158)(101, 149, 108, 156, 126, 174, 115, 163)(105, 153, 121, 169, 107, 155, 120, 168)(112, 160, 132, 180, 117, 165, 130, 178)(113, 161, 131, 179, 118, 166, 129, 177)(114, 162, 128, 176, 116, 164, 127, 175)(122, 170, 142, 190, 124, 172, 141, 189)(123, 171, 133, 181, 125, 173, 134, 182)(135, 183, 137, 185, 136, 184, 139, 187)(138, 186, 143, 191, 140, 188, 144, 192)
	L = (1, 100)(2, 105)(3, 110)(4, 109)(5, 114)(6, 111)(7, 97)(8, 120)(9, 119)(10, 121)(11, 98)(12, 127)(13, 103)(14, 102)(15, 99)(16, 133)(17, 135)(18, 126)(19, 128)(20, 101)(21, 134)(22, 136)(23, 107)(24, 106)(25, 104)(26, 143)(27, 130)(28, 144)(29, 132)(30, 116)(31, 115)(32, 108)(33, 137)(34, 125)(35, 139)(36, 123)(37, 117)(38, 112)(39, 118)(40, 113)(41, 131)(42, 141)(43, 129)(44, 142)(45, 140)(46, 138)(47, 124)(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, 16, 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E26.451
Graph:: simple bipartite
	v = 28 e = 96 f = 18
	degree seq :: [ 6^16, 8^12 ]

E26.447 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 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^-2 * Y2^-1, Y1 * Y2^2 * Y1, Y2^4, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1 * Y3^-1 * Y1^2 * Y3 * Y1, (Y1 * Y3)^3, Y3 * Y1 * Y2^-1 * Y1^-1 * Y3 * Y1 * Y2^-1 * Y1, Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 6, 54, 14, 62)(4, 52, 16, 64, 15, 63, 17, 65)(7, 55, 21, 69, 18, 66, 22, 70)(9, 57, 23, 71, 11, 59, 24, 72)(10, 58, 25, 73, 19, 67, 26, 74)(12, 60, 27, 75, 20, 68, 28, 76)(29, 77, 45, 93, 31, 79, 43, 91)(30, 78, 37, 85, 33, 81, 38, 86)(32, 80, 40, 88, 34, 82, 42, 90)(35, 83, 46, 94, 36, 84, 48, 96)(39, 87, 44, 92, 41, 89, 47, 95)(97, 145, 99, 147, 104, 152, 102, 150)(98, 146, 105, 153, 101, 149, 107, 155)(100, 148, 103, 151, 111, 159, 114, 162)(106, 154, 108, 156, 115, 163, 116, 164)(109, 157, 125, 173, 110, 158, 127, 175)(112, 160, 131, 179, 113, 161, 132, 180)(117, 165, 135, 183, 118, 166, 137, 185)(119, 167, 139, 187, 120, 168, 141, 189)(121, 169, 136, 184, 122, 170, 138, 186)(123, 171, 133, 181, 124, 172, 134, 182)(126, 174, 128, 176, 129, 177, 130, 178)(140, 188, 142, 190, 143, 191, 144, 192)
	L = (1, 100)(2, 106)(3, 103)(4, 102)(5, 115)(6, 114)(7, 97)(8, 111)(9, 108)(10, 107)(11, 116)(12, 98)(13, 126)(14, 129)(15, 99)(16, 123)(17, 124)(18, 104)(19, 105)(20, 101)(21, 136)(22, 138)(23, 140)(24, 143)(25, 118)(26, 117)(27, 132)(28, 131)(29, 128)(30, 127)(31, 130)(32, 109)(33, 125)(34, 110)(35, 133)(36, 134)(37, 112)(38, 113)(39, 122)(40, 137)(41, 121)(42, 135)(43, 142)(44, 141)(45, 144)(46, 119)(47, 139)(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) :: { ( 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E26.449
Graph:: bipartite
	v = 24 e = 96 f = 22
	degree seq :: [ 8^24 ]

E26.448 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 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, Y3^2 * Y2^-1, Y1^4, Y2^4, Y1^2 * Y2^-2, Y1 * Y2^2 * Y1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1 * Y3^-1 * Y1^2 * Y3 * Y1, (Y1 * Y3)^3, Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y1 * Y2^-1 * Y1^-1 * Y3 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 6, 54, 15, 63)(4, 52, 16, 64, 20, 68, 17, 65)(7, 55, 21, 69, 14, 62, 22, 70)(9, 57, 23, 71, 11, 59, 24, 72)(10, 58, 25, 73, 18, 66, 26, 74)(12, 60, 27, 75, 19, 67, 28, 76)(29, 77, 45, 93, 31, 79, 43, 91)(30, 78, 38, 86, 33, 81, 37, 85)(32, 80, 42, 90, 34, 82, 40, 88)(35, 83, 46, 94, 36, 84, 48, 96)(39, 87, 44, 92, 41, 89, 47, 95)(97, 145, 99, 147, 104, 152, 102, 150)(98, 146, 105, 153, 101, 149, 107, 155)(100, 148, 110, 158, 116, 164, 103, 151)(106, 154, 115, 163, 114, 162, 108, 156)(109, 157, 125, 173, 111, 159, 127, 175)(112, 160, 131, 179, 113, 161, 132, 180)(117, 165, 135, 183, 118, 166, 137, 185)(119, 167, 139, 187, 120, 168, 141, 189)(121, 169, 138, 186, 122, 170, 136, 184)(123, 171, 134, 182, 124, 172, 133, 181)(126, 174, 130, 178, 129, 177, 128, 176)(140, 188, 144, 192, 143, 191, 142, 190)
	L = (1, 100)(2, 106)(3, 110)(4, 99)(5, 114)(6, 103)(7, 97)(8, 116)(9, 115)(10, 105)(11, 108)(12, 98)(13, 126)(14, 104)(15, 129)(16, 123)(17, 124)(18, 107)(19, 101)(20, 102)(21, 136)(22, 138)(23, 140)(24, 143)(25, 118)(26, 117)(27, 131)(28, 132)(29, 130)(30, 125)(31, 128)(32, 109)(33, 127)(34, 111)(35, 134)(36, 133)(37, 112)(38, 113)(39, 121)(40, 135)(41, 122)(42, 137)(43, 144)(44, 139)(45, 142)(46, 119)(47, 141)(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) :: { ( 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E26.450
Graph:: bipartite
	v = 24 e = 96 f = 22
	degree seq :: [ 8^24 ]

E26.449 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 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, Y3^3, Y1 * Y3^-1 * Y1^-1 * Y2^-1, Y3 * Y2^-1 * Y1^-2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y1 * Y2 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y2^-1 * Y3, Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1^5 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 26, 74, 48, 96, 39, 87, 15, 63, 5, 53)(3, 51, 12, 60, 33, 81, 11, 59, 27, 75, 44, 92, 23, 71, 14, 62)(4, 52, 16, 64, 25, 73, 31, 79, 41, 89, 20, 68, 43, 91, 18, 66)(6, 54, 10, 58, 30, 78, 36, 84, 45, 93, 19, 67, 7, 55, 22, 70)(9, 57, 28, 76, 40, 88, 17, 65, 38, 86, 13, 61, 34, 82, 29, 77)(21, 69, 42, 90, 47, 95, 35, 83, 24, 72, 46, 94, 37, 85, 32, 80)(97, 145, 99, 147, 102, 150)(98, 146, 105, 153, 107, 155)(100, 148, 113, 161, 104, 152)(101, 149, 115, 163, 114, 162)(103, 151, 120, 168, 121, 169)(106, 154, 127, 175, 122, 170)(108, 156, 131, 179, 132, 180)(109, 157, 133, 181, 129, 177)(110, 158, 135, 183, 134, 182)(111, 159, 137, 185, 125, 173)(112, 160, 138, 186, 130, 178)(116, 164, 142, 190, 136, 184)(117, 165, 139, 187, 126, 174)(118, 166, 140, 188, 128, 176)(119, 167, 124, 172, 143, 191)(123, 171, 141, 189, 144, 192)
	L = (1, 100)(2, 106)(3, 109)(4, 103)(5, 105)(6, 117)(7, 97)(8, 123)(9, 116)(10, 108)(11, 128)(12, 98)(13, 111)(14, 131)(15, 99)(16, 122)(17, 133)(18, 138)(19, 140)(20, 101)(21, 119)(22, 127)(23, 102)(24, 129)(25, 125)(26, 134)(27, 124)(28, 104)(29, 143)(30, 144)(31, 142)(32, 130)(33, 141)(34, 107)(35, 136)(36, 114)(37, 139)(38, 112)(39, 115)(40, 110)(41, 126)(42, 132)(43, 113)(44, 135)(45, 120)(46, 118)(47, 121)(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) :: { ( 8^6 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E26.447
Graph:: bipartite
	v = 22 e = 96 f = 24
	degree seq :: [ 6^16, 16^6 ]

E26.450 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 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, Y1^2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, R * Y2 * Y3 * R * Y2^-1, Y1^-1 * Y2 * Y1 * Y3^-2, Y2 * Y3^2 * Y1^2, Y1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1, Y3^6, Y3 * Y1 * Y3 * Y1^-3, (Y2^-1 * Y3^-1)^3, (Y2 * Y3^-1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 32, 80, 46, 94, 41, 89, 20, 68, 5, 53)(3, 51, 13, 61, 27, 75, 11, 59, 36, 84, 12, 60, 39, 87, 15, 63)(4, 52, 16, 64, 30, 78, 22, 70, 31, 79, 23, 71, 47, 95, 19, 67)(6, 54, 24, 72, 7, 55, 28, 76, 35, 83, 10, 58, 18, 66, 26, 74)(9, 57, 14, 62, 38, 86, 33, 81, 21, 69, 34, 82, 43, 91, 17, 65)(25, 73, 44, 92, 45, 93, 40, 88, 29, 77, 48, 96, 42, 90, 37, 85)(97, 145, 99, 147, 102, 150)(98, 146, 105, 153, 107, 155)(100, 148, 113, 161, 116, 164)(101, 149, 106, 154, 118, 166)(103, 151, 125, 173, 126, 174)(104, 152, 127, 175, 129, 177)(108, 156, 136, 184, 122, 170)(109, 157, 133, 181, 124, 172)(110, 158, 138, 186, 135, 183)(111, 159, 137, 185, 117, 165)(112, 160, 140, 188, 134, 182)(114, 162, 121, 169, 143, 191)(115, 163, 128, 176, 120, 168)(119, 167, 144, 192, 139, 187)(123, 171, 130, 178, 141, 189)(131, 179, 142, 190, 132, 180)
	L = (1, 100)(2, 106)(3, 110)(4, 114)(5, 117)(6, 121)(7, 97)(8, 99)(9, 119)(10, 109)(11, 133)(12, 98)(13, 137)(14, 116)(15, 136)(16, 128)(17, 141)(18, 142)(19, 144)(20, 132)(21, 112)(22, 140)(23, 101)(24, 108)(25, 135)(26, 118)(27, 102)(28, 115)(29, 123)(30, 113)(31, 103)(32, 105)(33, 138)(34, 104)(35, 125)(36, 130)(37, 139)(38, 107)(39, 131)(40, 134)(41, 120)(42, 126)(43, 111)(44, 124)(45, 143)(46, 127)(47, 129)(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) :: { ( 8^6 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E26.448
Graph:: bipartite
	v = 22 e = 96 f = 24
	degree seq :: [ 6^16, 16^6 ]

E26.451 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 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^-1 * Y1 * Y2^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3^2 * Y1^-2, Y1^4, Y3^4, (R * Y1)^2, (R * Y3)^2, Y3^2 * Y2 * Y3^2 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y1^-1 * Y2 * Y1^-2 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y2^-3 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y2^-2 * Y3^-1, Y1^-1 * Y2^-2 * Y3^-1 * Y2^2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 11, 59, 25, 73, 15, 63)(4, 52, 12, 60, 7, 55, 10, 58)(6, 54, 9, 57, 26, 74, 19, 67)(13, 61, 33, 81, 21, 69, 27, 75)(14, 62, 34, 82, 16, 64, 32, 80)(17, 65, 36, 84, 23, 71, 31, 79)(18, 66, 35, 83, 24, 72, 30, 78)(20, 68, 29, 77, 22, 70, 28, 76)(37, 85, 43, 91, 38, 86, 46, 94)(39, 87, 47, 95, 41, 89, 48, 96)(40, 88, 45, 93, 42, 90, 44, 92)(97, 145, 99, 147, 109, 157, 122, 170, 104, 152, 121, 169, 117, 165, 102, 150)(98, 146, 105, 153, 123, 171, 111, 159, 101, 149, 115, 163, 129, 177, 107, 155)(100, 148, 113, 161, 139, 187, 120, 168, 103, 151, 119, 167, 142, 190, 114, 162)(106, 154, 126, 174, 134, 182, 132, 180, 108, 156, 131, 179, 133, 181, 127, 175)(110, 158, 135, 183, 124, 172, 138, 186, 112, 160, 137, 185, 125, 173, 136, 184)(116, 164, 143, 191, 130, 178, 141, 189, 118, 166, 144, 192, 128, 176, 140, 188)
	L = (1, 100)(2, 106)(3, 110)(4, 104)(5, 108)(6, 116)(7, 97)(8, 103)(9, 124)(10, 101)(11, 128)(12, 98)(13, 133)(14, 121)(15, 130)(16, 99)(17, 140)(18, 137)(19, 125)(20, 122)(21, 134)(22, 102)(23, 141)(24, 135)(25, 112)(26, 118)(27, 139)(28, 115)(29, 105)(30, 144)(31, 136)(32, 111)(33, 142)(34, 107)(35, 143)(36, 138)(37, 117)(38, 109)(39, 114)(40, 132)(41, 120)(42, 127)(43, 129)(44, 119)(45, 113)(46, 123)(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) :: { ( 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 E26.446
Graph:: bipartite
	v = 18 e = 96 f = 28
	degree seq :: [ 8^12, 16^6 ]

E26.452 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 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, Y3^4, Y3 * Y1 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1^-1, (R * Y1)^2, Y1 * Y2^-1 * Y1^-1 * Y2^-1, Y3^2 * Y1^-2, (R * Y3)^2, Y3 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^-2 * Y2^-1 * Y3^-1, Y1^-1 * Y2 * Y1^-2 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y2^-3 * Y1^-1, (Y3 * Y2^-1)^3, Y2^2 * Y3^-1 * Y1 * Y2^-2 * Y3^-1, Y2^-1 * Y1 * Y3 * Y2^2 * Y3^-1 * Y2^-1, Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 11, 59, 25, 73, 15, 63)(4, 52, 12, 60, 7, 55, 10, 58)(6, 54, 9, 57, 26, 74, 19, 67)(13, 61, 33, 81, 21, 69, 27, 75)(14, 62, 34, 82, 16, 64, 32, 80)(17, 65, 36, 84, 23, 71, 31, 79)(18, 66, 35, 83, 24, 72, 30, 78)(20, 68, 29, 77, 22, 70, 28, 76)(37, 85, 46, 94, 38, 86, 43, 91)(39, 87, 48, 96, 41, 89, 47, 95)(40, 88, 44, 92, 42, 90, 45, 93)(97, 145, 99, 147, 109, 157, 122, 170, 104, 152, 121, 169, 117, 165, 102, 150)(98, 146, 105, 153, 123, 171, 111, 159, 101, 149, 115, 163, 129, 177, 107, 155)(100, 148, 113, 161, 139, 187, 120, 168, 103, 151, 119, 167, 142, 190, 114, 162)(106, 154, 126, 174, 133, 181, 132, 180, 108, 156, 131, 179, 134, 182, 127, 175)(110, 158, 135, 183, 125, 173, 138, 186, 112, 160, 137, 185, 124, 172, 136, 184)(116, 164, 143, 191, 128, 176, 141, 189, 118, 166, 144, 192, 130, 178, 140, 188)
	L = (1, 100)(2, 106)(3, 110)(4, 104)(5, 108)(6, 116)(7, 97)(8, 103)(9, 124)(10, 101)(11, 128)(12, 98)(13, 133)(14, 121)(15, 130)(16, 99)(17, 140)(18, 137)(19, 125)(20, 122)(21, 134)(22, 102)(23, 141)(24, 135)(25, 112)(26, 118)(27, 142)(28, 115)(29, 105)(30, 143)(31, 138)(32, 111)(33, 139)(34, 107)(35, 144)(36, 136)(37, 117)(38, 109)(39, 114)(40, 127)(41, 120)(42, 132)(43, 123)(44, 119)(45, 113)(46, 129)(47, 131)(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) :: { ( 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 E26.445
Graph:: bipartite
	v = 18 e = 96 f = 28
	degree seq :: [ 8^12, 16^6 ]

E26.453 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 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 * R)^2, Y2^-1 * Y1 * Y3 * Y2^-1, (R * Y1)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y2 * Y1^-1 * Y3 * Y2, Y1^4, Y2 * Y3 * Y1 * Y2 * Y3 * Y1^-1, Y1^2 * Y2^4, Y3^3 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y1 * Y2 * Y1^-2, Y2^-1 * Y1^-1 * Y3^-3 * Y2^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1, Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y1^-2 * Y2^-1 * Y1^-2 * Y2, Y3 * Y2 * Y3^-2 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 27, 75, 15, 63)(4, 52, 12, 60, 28, 76, 18, 66)(6, 54, 16, 64, 29, 77, 23, 71)(7, 55, 10, 58, 30, 78, 20, 68)(9, 57, 31, 79, 19, 67, 33, 81)(11, 59, 34, 82, 21, 69, 37, 85)(14, 62, 39, 87, 45, 93, 43, 91)(17, 65, 40, 88, 26, 74, 35, 83)(22, 70, 38, 86, 46, 94, 42, 90)(24, 72, 36, 84, 47, 95, 41, 89)(25, 73, 32, 80, 48, 96, 44, 92)(97, 145, 99, 147, 106, 154, 125, 173, 104, 152, 123, 171, 116, 164, 102, 150)(98, 146, 105, 153, 124, 172, 117, 165, 101, 149, 115, 163, 100, 148, 107, 155)(103, 151, 120, 168, 131, 179, 144, 192, 126, 174, 143, 191, 136, 184, 121, 169)(108, 156, 134, 182, 122, 170, 139, 187, 114, 162, 138, 186, 113, 161, 135, 183)(109, 157, 133, 181, 141, 189, 132, 180, 111, 159, 130, 178, 110, 158, 137, 185)(112, 160, 140, 188, 142, 190, 129, 177, 119, 167, 128, 176, 118, 166, 127, 175)
	L = (1, 100)(2, 106)(3, 110)(4, 113)(5, 116)(6, 118)(7, 97)(8, 124)(9, 128)(10, 131)(11, 132)(12, 98)(13, 125)(14, 138)(15, 102)(16, 99)(17, 126)(18, 101)(19, 140)(20, 136)(21, 137)(22, 135)(23, 123)(24, 133)(25, 129)(26, 103)(27, 141)(28, 122)(29, 142)(30, 104)(31, 117)(32, 120)(33, 107)(34, 105)(35, 114)(36, 144)(37, 115)(38, 112)(39, 109)(40, 108)(41, 121)(42, 119)(43, 111)(44, 143)(45, 134)(46, 139)(47, 130)(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) :: { ( 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 E26.444
Graph:: bipartite
	v = 18 e = 96 f = 28
	degree seq :: [ 8^12, 16^6 ]

E26.454 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 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^-2 * Y1^-1 * Y3, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y2^-2 * Y3^-1 * Y1^-1, Y1^4, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1^-2, Y2^4 * Y1^-2, Y1^-1 * Y3^-1 * Y2 * Y3^2 * Y2^-1, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y1 * Y2)^3, Y1^-1 * Y3^4 * Y1^-1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 27, 75, 16, 64)(4, 52, 12, 60, 28, 76, 20, 68)(6, 54, 22, 70, 29, 77, 17, 65)(7, 55, 10, 58, 30, 78, 14, 62)(9, 57, 31, 79, 21, 69, 33, 81)(11, 59, 36, 84, 18, 66, 34, 82)(15, 63, 39, 87, 45, 93, 42, 90)(19, 67, 40, 88, 26, 74, 35, 83)(23, 71, 38, 86, 46, 94, 43, 91)(24, 72, 37, 85, 47, 95, 41, 89)(25, 73, 32, 80, 48, 96, 44, 92)(97, 145, 99, 147, 110, 158, 125, 173, 104, 152, 123, 171, 106, 154, 102, 150)(98, 146, 105, 153, 100, 148, 114, 162, 101, 149, 117, 165, 124, 172, 107, 155)(103, 151, 120, 168, 136, 184, 144, 192, 126, 174, 143, 191, 131, 179, 121, 169)(108, 156, 134, 182, 115, 163, 138, 186, 116, 164, 139, 187, 122, 170, 135, 183)(109, 157, 132, 180, 111, 159, 133, 181, 112, 160, 130, 178, 141, 189, 137, 185)(113, 161, 128, 176, 142, 190, 129, 177, 118, 166, 140, 188, 119, 167, 127, 175)
	L = (1, 100)(2, 106)(3, 111)(4, 115)(5, 110)(6, 119)(7, 97)(8, 124)(9, 128)(10, 131)(11, 133)(12, 98)(13, 102)(14, 136)(15, 134)(16, 125)(17, 99)(18, 137)(19, 126)(20, 101)(21, 140)(22, 123)(23, 138)(24, 130)(25, 129)(26, 103)(27, 141)(28, 122)(29, 142)(30, 104)(31, 107)(32, 143)(33, 114)(34, 105)(35, 116)(36, 117)(37, 121)(38, 118)(39, 109)(40, 108)(41, 144)(42, 112)(43, 113)(44, 120)(45, 139)(46, 135)(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) :: { ( 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 E26.443
Graph:: bipartite
	v = 18 e = 96 f = 28
	degree seq :: [ 8^12, 16^6 ]

E26.455 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 8})
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, Y3^2, R^2, (R * Y2)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, Y2^6, Y2 * Y1 * Y3 * Y1 * Y3 * Y2^2 * Y1 * Y3 * Y1 * Y3, (Y3 * Y1)^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 11, 59)(5, 53, 8, 56)(7, 55, 16, 64)(9, 57, 14, 62)(10, 58, 21, 69)(12, 60, 23, 71)(13, 61, 18, 66)(15, 63, 27, 75)(17, 65, 29, 77)(19, 67, 25, 73)(20, 68, 32, 80)(22, 70, 34, 82)(24, 72, 36, 84)(26, 74, 38, 86)(28, 76, 40, 88)(30, 78, 42, 90)(31, 79, 43, 91)(33, 81, 45, 93)(35, 83, 47, 95)(37, 85, 46, 94)(39, 87, 48, 96)(41, 89, 44, 92)(97, 145, 99, 147, 105, 153, 115, 163, 109, 157, 101, 149)(98, 146, 102, 150, 110, 158, 121, 169, 114, 162, 104, 152)(100, 148, 106, 154, 116, 164, 127, 175, 120, 168, 108, 156)(103, 151, 111, 159, 122, 170, 133, 181, 126, 174, 113, 161)(107, 155, 117, 165, 128, 176, 139, 187, 132, 180, 119, 167)(112, 160, 123, 171, 134, 182, 142, 190, 138, 186, 125, 173)(118, 166, 129, 177, 140, 188, 136, 184, 144, 192, 131, 179)(124, 172, 135, 183, 143, 191, 130, 178, 141, 189, 137, 185)
	L = (1, 100)(2, 103)(3, 106)(4, 97)(5, 108)(6, 111)(7, 98)(8, 113)(9, 116)(10, 99)(11, 118)(12, 101)(13, 120)(14, 122)(15, 102)(16, 124)(17, 104)(18, 126)(19, 127)(20, 105)(21, 129)(22, 107)(23, 131)(24, 109)(25, 133)(26, 110)(27, 135)(28, 112)(29, 137)(30, 114)(31, 115)(32, 140)(33, 117)(34, 142)(35, 119)(36, 144)(37, 121)(38, 143)(39, 123)(40, 139)(41, 125)(42, 141)(43, 136)(44, 128)(45, 138)(46, 130)(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) :: { ( 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E26.465
Graph:: simple bipartite
	v = 32 e = 96 f = 14
	degree seq :: [ 4^24, 12^8 ]

E26.456 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 8})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y2)^2, Y3 * Y2 * Y3 * Y2^-1, (Y2^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^6, Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 8, 56)(4, 52, 11, 59)(5, 53, 6, 54)(7, 55, 16, 64)(9, 57, 18, 66)(10, 58, 21, 69)(12, 60, 22, 70)(13, 61, 14, 62)(15, 63, 27, 75)(17, 65, 28, 76)(19, 67, 25, 73)(20, 68, 32, 80)(23, 71, 36, 84)(24, 72, 34, 82)(26, 74, 38, 86)(29, 77, 42, 90)(30, 78, 40, 88)(31, 79, 43, 91)(33, 81, 45, 93)(35, 83, 47, 95)(37, 85, 48, 96)(39, 87, 44, 92)(41, 89, 46, 94)(97, 145, 99, 147, 105, 153, 115, 163, 109, 157, 101, 149)(98, 146, 102, 150, 110, 158, 121, 169, 114, 162, 104, 152)(100, 148, 106, 154, 116, 164, 127, 175, 120, 168, 108, 156)(103, 151, 111, 159, 122, 170, 133, 181, 126, 174, 113, 161)(107, 155, 118, 166, 130, 178, 139, 187, 128, 176, 117, 165)(112, 160, 124, 172, 136, 184, 144, 192, 134, 182, 123, 171)(119, 167, 131, 179, 142, 190, 138, 186, 140, 188, 129, 177)(125, 173, 137, 185, 143, 191, 132, 180, 141, 189, 135, 183)
	L = (1, 100)(2, 103)(3, 106)(4, 97)(5, 108)(6, 111)(7, 98)(8, 113)(9, 116)(10, 99)(11, 119)(12, 101)(13, 120)(14, 122)(15, 102)(16, 125)(17, 104)(18, 126)(19, 127)(20, 105)(21, 129)(22, 131)(23, 107)(24, 109)(25, 133)(26, 110)(27, 135)(28, 137)(29, 112)(30, 114)(31, 115)(32, 140)(33, 117)(34, 142)(35, 118)(36, 144)(37, 121)(38, 141)(39, 123)(40, 143)(41, 124)(42, 139)(43, 138)(44, 128)(45, 134)(46, 130)(47, 136)(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) :: { ( 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E26.468
Graph:: simple bipartite
	v = 32 e = 96 f = 14
	degree seq :: [ 4^24, 12^8 ]

E26.457 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 8})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3^-1), Y2^-2 * Y3^-2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2^-1 * Y1)^2, (Y3^-2 * Y1)^2, Y2^6, Y1 * Y3 * Y2^-1 * Y1 * Y3 * Y1 * Y3 * 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, 17, 65)(8, 56, 21, 69)(10, 58, 24, 72)(11, 59, 22, 70)(12, 60, 27, 75)(13, 61, 28, 76)(15, 63, 18, 66)(16, 64, 29, 77)(19, 67, 35, 83)(20, 68, 36, 84)(23, 71, 37, 85)(25, 73, 33, 81)(26, 74, 41, 89)(30, 78, 45, 93)(31, 79, 46, 94)(32, 80, 47, 95)(34, 82, 48, 96)(38, 86, 44, 92)(39, 87, 43, 91)(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, 125, 173, 137, 185, 124, 172, 113, 161, 123, 171)(117, 165, 133, 181, 144, 192, 132, 180, 120, 168, 131, 179)(126, 174, 139, 187, 127, 175, 140, 188, 128, 176, 138, 186)(134, 182, 142, 190, 135, 183, 141, 189, 136, 184, 143, 191)
	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, 126)(15, 122)(16, 121)(17, 128)(18, 106)(19, 105)(20, 103)(21, 134)(22, 130)(23, 129)(24, 136)(25, 109)(26, 107)(27, 138)(28, 140)(29, 139)(30, 113)(31, 110)(32, 137)(33, 116)(34, 114)(35, 143)(36, 141)(37, 142)(38, 120)(39, 117)(40, 144)(41, 127)(42, 124)(43, 123)(44, 125)(45, 133)(46, 131)(47, 132)(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) :: { ( 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E26.470
Graph:: simple bipartite
	v = 32 e = 96 f = 14
	degree seq :: [ 4^24, 12^8 ]

E26.458 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 8})
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, Y3^2, R^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y1 * Y2 * Y3 * Y1 * Y2^-1, Y2^2 * Y1 * Y2^-2 * Y1, Y2^6, Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1, (Y3 * Y1)^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 12, 60)(5, 53, 14, 62)(6, 54, 16, 64)(7, 55, 19, 67)(8, 56, 21, 69)(10, 58, 17, 65)(11, 59, 18, 66)(13, 61, 20, 68)(15, 63, 22, 70)(23, 71, 36, 84)(24, 72, 38, 86)(25, 73, 41, 89)(26, 74, 39, 87)(27, 75, 40, 88)(28, 76, 31, 79)(29, 77, 43, 91)(30, 78, 32, 80)(33, 81, 46, 94)(34, 82, 44, 92)(35, 83, 45, 93)(37, 85, 48, 96)(42, 90, 47, 95)(97, 145, 99, 147, 106, 154, 122, 170, 111, 159, 101, 149)(98, 146, 102, 150, 113, 161, 130, 178, 118, 166, 104, 152)(100, 148, 107, 155, 123, 171, 138, 186, 125, 173, 109, 157)(103, 151, 114, 162, 131, 179, 143, 191, 133, 181, 116, 164)(105, 153, 119, 167, 135, 183, 126, 174, 110, 158, 121, 169)(108, 156, 120, 168, 136, 184, 142, 190, 139, 187, 124, 172)(112, 160, 127, 175, 140, 188, 134, 182, 117, 165, 129, 177)(115, 163, 128, 176, 141, 189, 137, 185, 144, 192, 132, 180)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 109)(6, 114)(7, 98)(8, 116)(9, 120)(10, 123)(11, 99)(12, 121)(13, 101)(14, 124)(15, 125)(16, 128)(17, 131)(18, 102)(19, 129)(20, 104)(21, 132)(22, 133)(23, 136)(24, 105)(25, 108)(26, 138)(27, 106)(28, 110)(29, 111)(30, 139)(31, 141)(32, 112)(33, 115)(34, 143)(35, 113)(36, 117)(37, 118)(38, 144)(39, 142)(40, 119)(41, 140)(42, 122)(43, 126)(44, 137)(45, 127)(46, 135)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.464
Graph:: simple bipartite
	v = 32 e = 96 f = 14
	degree seq :: [ 4^24, 12^8 ]

E26.459 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 8})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2^-1 * Y3 * Y1 * Y3, Y2^6, Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2^-1 * Y1, (Y2 * Y1)^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 12, 60)(5, 53, 14, 62)(6, 54, 16, 64)(7, 55, 19, 67)(8, 56, 21, 69)(10, 58, 22, 70)(11, 59, 20, 68)(13, 61, 18, 66)(15, 63, 17, 65)(23, 71, 39, 87)(24, 72, 33, 81)(25, 73, 32, 80)(26, 74, 41, 89)(27, 75, 40, 88)(28, 76, 38, 86)(29, 77, 43, 91)(30, 78, 36, 84)(31, 79, 44, 92)(34, 82, 46, 94)(35, 83, 45, 93)(37, 85, 48, 96)(42, 90, 47, 95)(97, 145, 99, 147, 106, 154, 122, 170, 111, 159, 101, 149)(98, 146, 102, 150, 113, 161, 130, 178, 118, 166, 104, 152)(100, 148, 107, 155, 123, 171, 138, 186, 125, 173, 109, 157)(103, 151, 114, 162, 131, 179, 143, 191, 133, 181, 116, 164)(105, 153, 119, 167, 110, 158, 126, 174, 137, 185, 121, 169)(108, 156, 124, 172, 139, 187, 140, 188, 136, 184, 120, 168)(112, 160, 127, 175, 117, 165, 134, 182, 142, 190, 129, 177)(115, 163, 132, 180, 144, 192, 135, 183, 141, 189, 128, 176)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 109)(6, 114)(7, 98)(8, 116)(9, 120)(10, 123)(11, 99)(12, 119)(13, 101)(14, 124)(15, 125)(16, 128)(17, 131)(18, 102)(19, 127)(20, 104)(21, 132)(22, 133)(23, 108)(24, 105)(25, 136)(26, 138)(27, 106)(28, 110)(29, 111)(30, 139)(31, 115)(32, 112)(33, 141)(34, 143)(35, 113)(36, 117)(37, 118)(38, 144)(39, 142)(40, 121)(41, 140)(42, 122)(43, 126)(44, 137)(45, 129)(46, 135)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.467
Graph:: simple bipartite
	v = 32 e = 96 f = 14
	degree seq :: [ 4^24, 12^8 ]

E26.460 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 8})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y2^-1)^2, (R * Y2)^2, (R * Y3)^2, Y3^-1 * Y2^-2 * Y3^-1, (R * Y1)^2, Y3^-2 * Y2^4, Y3 * Y1 * Y3 * Y2 * Y1 * Y2, (Y2^-1 * Y1 * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^6, Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-2 * Y1 ]
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, 25, 73)(13, 61, 22, 70)(14, 62, 26, 74)(16, 64, 21, 69)(17, 65, 23, 71)(29, 77, 40, 88)(30, 78, 44, 92)(31, 79, 43, 91)(32, 80, 37, 85)(33, 81, 45, 93)(34, 82, 46, 94)(35, 83, 39, 87)(36, 84, 38, 86)(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, 114, 162, 132, 180, 141, 189, 127, 175)(111, 159, 131, 179, 142, 190, 126, 174, 115, 163, 128, 176)(116, 164, 133, 181, 123, 171, 140, 188, 143, 191, 135, 183)(120, 168, 139, 187, 144, 192, 134, 182, 124, 172, 136, 184)
	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, 125)(16, 130)(17, 129)(18, 128)(19, 127)(20, 134)(21, 106)(22, 105)(23, 103)(24, 133)(25, 138)(26, 137)(27, 136)(28, 135)(29, 115)(30, 141)(31, 142)(32, 107)(33, 110)(34, 108)(35, 114)(36, 111)(37, 124)(38, 143)(39, 144)(40, 116)(41, 119)(42, 117)(43, 123)(44, 120)(45, 131)(46, 132)(47, 139)(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) :: { ( 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E26.469
Graph:: simple bipartite
	v = 32 e = 96 f = 14
	degree seq :: [ 4^24, 12^8 ]

E26.461 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 8})
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, (R * Y1)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, Y3 * Y1 * Y3^-1 * Y1, Y1 * Y3^4, Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2, (R * Y2 * Y3^-1)^2, Y2^6 ]
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, 19, 67)(12, 60, 20, 68)(13, 61, 21, 69)(14, 62, 18, 66)(15, 63, 22, 70)(16, 64, 23, 71)(17, 65, 24, 72)(25, 73, 34, 82)(26, 74, 35, 83)(27, 75, 36, 84)(28, 76, 29, 77)(30, 78, 32, 80)(31, 79, 37, 85)(33, 81, 38, 86)(39, 87, 45, 93)(40, 88, 46, 94)(41, 89, 42, 90)(43, 91, 44, 92)(47, 95, 48, 96)(97, 145, 99, 147, 107, 155, 121, 169, 113, 161, 101, 149)(98, 146, 103, 151, 115, 163, 130, 178, 120, 168, 105, 153)(100, 148, 109, 157, 122, 170, 136, 184, 127, 175, 111, 159)(102, 150, 108, 156, 123, 171, 135, 183, 129, 177, 112, 160)(104, 152, 117, 165, 131, 179, 142, 190, 133, 181, 118, 166)(106, 154, 116, 164, 132, 180, 141, 189, 134, 182, 119, 167)(110, 158, 125, 173, 137, 185, 144, 192, 139, 187, 126, 174)(114, 162, 124, 172, 138, 186, 143, 191, 140, 188, 128, 176)
	L = (1, 100)(2, 104)(3, 108)(4, 110)(5, 112)(6, 97)(7, 116)(8, 114)(9, 119)(10, 98)(11, 122)(12, 124)(13, 99)(14, 106)(15, 101)(16, 128)(17, 127)(18, 102)(19, 131)(20, 125)(21, 103)(22, 105)(23, 126)(24, 133)(25, 135)(26, 137)(27, 107)(28, 117)(29, 109)(30, 111)(31, 139)(32, 118)(33, 113)(34, 141)(35, 138)(36, 115)(37, 140)(38, 120)(39, 143)(40, 121)(41, 132)(42, 123)(43, 134)(44, 129)(45, 144)(46, 130)(47, 142)(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, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E26.466
Graph:: simple bipartite
	v = 32 e = 96 f = 14
	degree seq :: [ 4^24, 12^8 ]

E26.462 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 8})
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, (Y2^-1, Y1^-1), (R * Y1)^2, (Y2, Y3^-1), (Y3^-1 * Y1^-1)^2, (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y3^4, Y3 * Y1 * Y2^-2 * Y3 * Y1^-1, Y1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y3, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, Y3 * Y2^2 * Y1^-1 * Y3 * Y1^-1, Y2^6, Y1^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 25, 73, 13, 61, 5, 53)(3, 51, 9, 57, 6, 54, 11, 59, 27, 75, 15, 63)(4, 52, 17, 65, 26, 74, 12, 60, 35, 83, 19, 67)(7, 55, 23, 71, 28, 76, 21, 69, 32, 80, 10, 58)(14, 62, 37, 85, 20, 68, 30, 78, 45, 93, 34, 82)(16, 64, 33, 81, 22, 70, 39, 87, 46, 94, 29, 77)(18, 66, 41, 89, 43, 91, 40, 88, 48, 96, 36, 84)(24, 72, 42, 90, 47, 95, 31, 79, 38, 86, 44, 92)(97, 145, 99, 147, 109, 157, 123, 171, 104, 152, 102, 150)(98, 146, 105, 153, 101, 149, 111, 159, 121, 169, 107, 155)(100, 148, 110, 158, 131, 179, 141, 189, 122, 170, 116, 164)(103, 151, 112, 160, 128, 176, 142, 190, 124, 172, 118, 166)(106, 154, 125, 173, 117, 165, 135, 183, 119, 167, 129, 177)(108, 156, 126, 174, 113, 161, 133, 181, 115, 163, 130, 178)(114, 162, 134, 182, 144, 192, 143, 191, 139, 187, 120, 168)(127, 175, 136, 184, 138, 186, 137, 185, 140, 188, 132, 180)
	L = (1, 100)(2, 106)(3, 110)(4, 114)(5, 117)(6, 116)(7, 97)(8, 122)(9, 125)(10, 127)(11, 129)(12, 98)(13, 131)(14, 134)(15, 135)(16, 99)(17, 101)(18, 112)(19, 121)(20, 120)(21, 138)(22, 102)(23, 140)(24, 103)(25, 119)(26, 139)(27, 141)(28, 104)(29, 136)(30, 105)(31, 126)(32, 109)(33, 132)(34, 107)(35, 144)(36, 108)(37, 111)(38, 128)(39, 137)(40, 113)(41, 115)(42, 133)(43, 118)(44, 130)(45, 143)(46, 123)(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, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E26.463
Graph:: bipartite
	v = 16 e = 96 f = 30
	degree seq :: [ 12^16 ]

E26.463 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 8})
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, (R * Y2)^2, (R * Y3)^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y1)^2, Y3^-1 * Y2 * Y3 * Y2, (Y2 * Y1)^2, Y1 * Y2 * Y3 * Y1^-1 * Y2 * Y3^-1, Y3^6, Y3^2 * Y2 * Y3 * Y1^4, Y1^-1 * Y3^2 * Y2 * Y3 * Y1^-3, Y3 * Y2 * Y1^-1 * Y3^2 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 19, 67, 38, 86, 35, 83, 16, 64, 5, 53)(3, 51, 11, 59, 27, 75, 48, 96, 34, 82, 39, 87, 20, 68, 8, 56)(4, 52, 14, 62, 32, 80, 47, 95, 31, 79, 40, 88, 21, 69, 9, 57)(6, 54, 17, 65, 36, 84, 46, 94, 30, 78, 41, 89, 22, 70, 10, 58)(12, 60, 23, 71, 42, 90, 37, 85, 18, 66, 26, 74, 45, 93, 28, 76)(13, 61, 24, 72, 43, 91, 33, 81, 15, 63, 25, 73, 44, 92, 29, 77)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 108, 156)(101, 149, 107, 155)(102, 150, 109, 157)(103, 151, 116, 164)(105, 153, 119, 167)(106, 154, 120, 168)(110, 158, 124, 172)(111, 159, 126, 174)(112, 160, 123, 171)(113, 161, 125, 173)(114, 162, 127, 175)(115, 163, 135, 183)(117, 165, 138, 186)(118, 166, 139, 187)(121, 169, 142, 190)(122, 170, 143, 191)(128, 176, 141, 189)(129, 177, 137, 185)(130, 178, 134, 182)(131, 179, 144, 192)(132, 180, 140, 188)(133, 181, 136, 184)
	L = (1, 100)(2, 105)(3, 108)(4, 111)(5, 110)(6, 97)(7, 117)(8, 119)(9, 121)(10, 98)(11, 124)(12, 126)(13, 99)(14, 129)(15, 130)(16, 128)(17, 101)(18, 102)(19, 136)(20, 138)(21, 140)(22, 103)(23, 142)(24, 104)(25, 144)(26, 106)(27, 141)(28, 137)(29, 107)(30, 134)(31, 109)(32, 139)(33, 135)(34, 114)(35, 143)(36, 112)(37, 113)(38, 127)(39, 133)(40, 125)(41, 115)(42, 132)(43, 116)(44, 123)(45, 118)(46, 131)(47, 120)(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) :: { ( 12^4 ), ( 12^16 ) }
Outer automorphisms :: reflexible
Dual of E26.462
Graph:: simple bipartite
	v = 30 e = 96 f = 16
	degree seq :: [ 4^24, 16^6 ]

E26.464 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 8})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y3^2, R^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (Y2^-1 * Y3)^2, Y3 * Y1 * Y3 * Y1^-1, (Y2, Y1^-1), (R * Y3)^2, Y1^6, Y2^4 * Y1^3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 19, 67, 16, 64, 5, 53)(3, 51, 8, 56, 20, 68, 37, 85, 31, 79, 13, 61)(4, 52, 9, 57, 21, 69, 38, 86, 34, 82, 15, 63)(6, 54, 10, 58, 22, 70, 27, 75, 35, 83, 17, 65)(11, 59, 23, 71, 36, 84, 18, 66, 26, 74, 29, 77)(12, 60, 24, 72, 39, 87, 46, 94, 45, 93, 30, 78)(14, 62, 25, 73, 40, 88, 43, 91, 48, 96, 33, 81)(28, 76, 41, 89, 47, 95, 32, 80, 42, 90, 44, 92)(97, 145, 99, 147, 107, 155, 123, 171, 115, 163, 133, 181, 114, 162, 102, 150)(98, 146, 104, 152, 119, 167, 131, 179, 112, 160, 127, 175, 122, 170, 106, 154)(100, 148, 110, 158, 128, 176, 142, 190, 134, 182, 139, 187, 124, 172, 108, 156)(101, 149, 109, 157, 125, 173, 118, 166, 103, 151, 116, 164, 132, 180, 113, 161)(105, 153, 121, 169, 138, 186, 141, 189, 130, 178, 144, 192, 137, 185, 120, 168)(111, 159, 129, 177, 143, 191, 135, 183, 117, 165, 136, 184, 140, 188, 126, 174)
	L = (1, 100)(2, 105)(3, 108)(4, 97)(5, 111)(6, 110)(7, 117)(8, 120)(9, 98)(10, 121)(11, 124)(12, 99)(13, 126)(14, 102)(15, 101)(16, 130)(17, 129)(18, 128)(19, 134)(20, 135)(21, 103)(22, 136)(23, 137)(24, 104)(25, 106)(26, 138)(27, 139)(28, 107)(29, 140)(30, 109)(31, 141)(32, 114)(33, 113)(34, 112)(35, 144)(36, 143)(37, 142)(38, 115)(39, 116)(40, 118)(41, 119)(42, 122)(43, 123)(44, 125)(45, 127)(46, 133)(47, 132)(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, 12, 4, 12, 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 E26.458
Graph:: bipartite
	v = 14 e = 96 f = 32
	degree seq :: [ 12^8, 16^6 ]

E26.465 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 8})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y3^2, R^2, R * Y2 * R * Y2^-1, (Y2^-1 * Y3)^2, Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y1^-1 * Y3 * Y1 * Y3, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y3 * Y2 * Y1^-1 * Y3, Y1^6, Y2 * Y1^-1 * Y3 * Y2^3 * Y1^-2, Y1^-1 * Y3 * Y2 * Y1^-1 * Y2^-3 * Y1^-1, Y2^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 19, 67, 17, 65, 5, 53)(3, 51, 10, 58, 20, 68, 40, 88, 31, 79, 13, 61)(4, 52, 9, 57, 21, 69, 39, 87, 34, 82, 15, 63)(6, 54, 8, 56, 22, 70, 38, 86, 36, 84, 16, 64)(11, 59, 26, 74, 41, 89, 32, 80, 46, 94, 29, 77)(12, 60, 25, 73, 42, 90, 37, 85, 45, 93, 30, 78)(14, 62, 24, 72, 43, 91, 27, 75, 48, 96, 33, 81)(18, 66, 23, 71, 44, 92, 28, 76, 47, 95, 35, 83)(97, 145, 99, 147, 107, 155, 123, 171, 135, 183, 133, 181, 114, 162, 102, 150)(98, 146, 104, 152, 119, 167, 141, 189, 130, 178, 144, 192, 122, 170, 106, 154)(100, 148, 110, 158, 128, 176, 136, 184, 115, 163, 134, 182, 124, 172, 108, 156)(101, 149, 112, 160, 131, 179, 138, 186, 117, 165, 139, 187, 125, 173, 109, 157)(103, 151, 116, 164, 137, 185, 129, 177, 111, 159, 126, 174, 140, 188, 118, 166)(105, 153, 121, 169, 143, 191, 132, 180, 113, 161, 127, 175, 142, 190, 120, 168)
	L = (1, 100)(2, 105)(3, 108)(4, 97)(5, 111)(6, 110)(7, 117)(8, 120)(9, 98)(10, 121)(11, 124)(12, 99)(13, 126)(14, 102)(15, 101)(16, 129)(17, 130)(18, 128)(19, 135)(20, 138)(21, 103)(22, 139)(23, 142)(24, 104)(25, 106)(26, 143)(27, 134)(28, 107)(29, 140)(30, 109)(31, 141)(32, 114)(33, 112)(34, 113)(35, 137)(36, 144)(37, 136)(38, 123)(39, 115)(40, 133)(41, 131)(42, 116)(43, 118)(44, 125)(45, 127)(46, 119)(47, 122)(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, 12, 4, 12, 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 E26.455
Graph:: bipartite
	v = 14 e = 96 f = 32
	degree seq :: [ 12^8, 16^6 ]

E26.466 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 8})
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, Y2^-2 * Y3^-1 * Y2^-1, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y3)^2, (R * Y2)^2, Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y1^-1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2, Y1^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 21, 69, 20, 68, 5, 53)(3, 51, 11, 59, 22, 70, 38, 86, 32, 80, 15, 63)(4, 52, 12, 60, 23, 71, 39, 87, 33, 81, 17, 65)(6, 54, 9, 57, 24, 72, 36, 84, 34, 82, 18, 66)(7, 55, 10, 58, 25, 73, 37, 85, 35, 83, 19, 67)(13, 61, 27, 75, 40, 88, 47, 95, 43, 91, 29, 77)(14, 62, 26, 74, 41, 89, 46, 94, 44, 92, 30, 78)(16, 64, 28, 76, 42, 90, 48, 96, 45, 93, 31, 79)(97, 145, 99, 147, 109, 157, 103, 151, 112, 160, 100, 148, 110, 158, 102, 150)(98, 146, 105, 153, 122, 170, 108, 156, 124, 172, 106, 154, 123, 171, 107, 155)(101, 149, 114, 162, 126, 174, 113, 161, 127, 175, 115, 163, 125, 173, 111, 159)(104, 152, 118, 166, 136, 184, 121, 169, 138, 186, 119, 167, 137, 185, 120, 168)(116, 164, 128, 176, 139, 187, 131, 179, 141, 189, 129, 177, 140, 188, 130, 178)(117, 165, 132, 180, 142, 190, 135, 183, 144, 192, 133, 181, 143, 191, 134, 182)
	L = (1, 100)(2, 106)(3, 110)(4, 109)(5, 115)(6, 112)(7, 97)(8, 119)(9, 123)(10, 122)(11, 124)(12, 98)(13, 102)(14, 103)(15, 127)(16, 99)(17, 101)(18, 125)(19, 126)(20, 129)(21, 133)(22, 137)(23, 136)(24, 138)(25, 104)(26, 107)(27, 108)(28, 105)(29, 113)(30, 111)(31, 114)(32, 140)(33, 139)(34, 141)(35, 116)(36, 143)(37, 142)(38, 144)(39, 117)(40, 120)(41, 121)(42, 118)(43, 130)(44, 131)(45, 128)(46, 134)(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, 12, 4, 12, 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 E26.461
Graph:: bipartite
	v = 14 e = 96 f = 32
	degree seq :: [ 12^8, 16^6 ]

E26.467 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 8})
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, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y3 * Y1 * Y3, (Y2^-1 * Y3)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y2^-1 * Y1 * Y3)^2, Y1^6, Y1 * Y2 * Y1^-1 * Y2^3 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 19, 67, 16, 64, 5, 53)(3, 51, 11, 59, 27, 75, 37, 85, 20, 68, 8, 56)(4, 52, 9, 57, 21, 69, 38, 86, 34, 82, 15, 63)(6, 54, 17, 65, 35, 83, 30, 78, 22, 70, 10, 58)(12, 60, 23, 71, 36, 84, 18, 66, 26, 74, 28, 76)(13, 61, 29, 77, 43, 91, 48, 96, 39, 87, 24, 72)(14, 62, 32, 80, 46, 94, 45, 93, 40, 88, 25, 73)(31, 79, 41, 89, 47, 95, 33, 81, 42, 90, 44, 92)(97, 145, 99, 147, 108, 156, 126, 174, 115, 163, 133, 181, 114, 162, 102, 150)(98, 146, 104, 152, 119, 167, 131, 179, 112, 160, 123, 171, 122, 170, 106, 154)(100, 148, 110, 158, 129, 177, 144, 192, 134, 182, 141, 189, 127, 175, 109, 157)(101, 149, 107, 155, 124, 172, 118, 166, 103, 151, 116, 164, 132, 180, 113, 161)(105, 153, 121, 169, 138, 186, 139, 187, 130, 178, 142, 190, 137, 185, 120, 168)(111, 159, 128, 176, 143, 191, 135, 183, 117, 165, 136, 184, 140, 188, 125, 173)
	L = (1, 100)(2, 105)(3, 109)(4, 97)(5, 111)(6, 110)(7, 117)(8, 120)(9, 98)(10, 121)(11, 125)(12, 127)(13, 99)(14, 102)(15, 101)(16, 130)(17, 128)(18, 129)(19, 134)(20, 135)(21, 103)(22, 136)(23, 137)(24, 104)(25, 106)(26, 138)(27, 139)(28, 140)(29, 107)(30, 141)(31, 108)(32, 113)(33, 114)(34, 112)(35, 142)(36, 143)(37, 144)(38, 115)(39, 116)(40, 118)(41, 119)(42, 122)(43, 123)(44, 124)(45, 126)(46, 131)(47, 132)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.459
Graph:: bipartite
	v = 14 e = 96 f = 32
	degree seq :: [ 12^8, 16^6 ]

E26.468 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 8})
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, R * Y2 * R * Y2^-1, (Y2^-1 * Y1^-1)^2, (Y2^-1 * Y3)^2, (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y3, (Y2 * Y1^-1)^2, (R * Y1)^2, Y1^6, Y2^2 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y3 * Y1^-1, Y2 * Y3 * Y1 * Y2^3 * Y1^-2, Y1^-1 * Y2^-2 * Y3 * Y2 * Y1 * Y2^-1 * Y1^-1, Y2^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 19, 67, 17, 65, 5, 53)(3, 51, 11, 59, 27, 75, 40, 88, 20, 68, 10, 58)(4, 52, 9, 57, 21, 69, 39, 87, 34, 82, 15, 63)(6, 54, 16, 64, 35, 83, 38, 86, 22, 70, 8, 56)(12, 60, 26, 74, 41, 89, 33, 81, 46, 94, 29, 77)(13, 61, 28, 76, 45, 93, 37, 85, 42, 90, 25, 73)(14, 62, 32, 80, 48, 96, 30, 78, 43, 91, 24, 72)(18, 66, 23, 71, 44, 92, 31, 79, 47, 95, 36, 84)(97, 145, 99, 147, 108, 156, 126, 174, 135, 183, 133, 181, 114, 162, 102, 150)(98, 146, 104, 152, 119, 167, 141, 189, 130, 178, 144, 192, 122, 170, 106, 154)(100, 148, 110, 158, 129, 177, 136, 184, 115, 163, 134, 182, 127, 175, 109, 157)(101, 149, 112, 160, 132, 180, 138, 186, 117, 165, 139, 187, 125, 173, 107, 155)(103, 151, 116, 164, 137, 185, 128, 176, 111, 159, 124, 172, 140, 188, 118, 166)(105, 153, 121, 169, 143, 191, 131, 179, 113, 161, 123, 171, 142, 190, 120, 168)
	L = (1, 100)(2, 105)(3, 109)(4, 97)(5, 111)(6, 110)(7, 117)(8, 120)(9, 98)(10, 121)(11, 124)(12, 127)(13, 99)(14, 102)(15, 101)(16, 128)(17, 130)(18, 129)(19, 135)(20, 138)(21, 103)(22, 139)(23, 142)(24, 104)(25, 106)(26, 143)(27, 141)(28, 107)(29, 140)(30, 134)(31, 108)(32, 112)(33, 114)(34, 113)(35, 144)(36, 137)(37, 136)(38, 126)(39, 115)(40, 133)(41, 132)(42, 116)(43, 118)(44, 125)(45, 123)(46, 119)(47, 122)(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, 12, 4, 12, 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 E26.456
Graph:: bipartite
	v = 14 e = 96 f = 32
	degree seq :: [ 12^8, 16^6 ]

E26.469 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 8})
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 * Y1^-2, (Y3, Y1^-1), (R * Y1)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^2, (R * Y3)^2, (Y2^-1 * Y3^-1)^2, (R * Y2 * Y3^-1)^2, Y1^-6, Y3^6, (Y3^-1 * Y2 * Y1)^2, Y2 * Y3 * Y2^-1 * Y1^-1 * Y2^-2 * Y3^-1, Y3^2 * Y1 * Y2^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 23, 71, 18, 66, 5, 53)(3, 51, 13, 61, 33, 81, 44, 92, 24, 72, 9, 57)(4, 52, 10, 58, 25, 73, 20, 68, 7, 55, 12, 60)(6, 54, 19, 67, 40, 88, 36, 84, 26, 74, 11, 59)(14, 62, 27, 75, 42, 90, 22, 70, 32, 80, 34, 82)(15, 63, 35, 83, 45, 93, 29, 77, 16, 64, 28, 76)(17, 65, 31, 79, 21, 69, 41, 89, 46, 94, 30, 78)(37, 85, 43, 91, 48, 96, 39, 87, 38, 86, 47, 95)(97, 145, 99, 147, 110, 158, 132, 180, 119, 167, 140, 188, 118, 166, 102, 150)(98, 146, 105, 153, 123, 171, 136, 184, 114, 162, 129, 177, 128, 176, 107, 155)(100, 148, 113, 161, 135, 183, 131, 179, 116, 164, 137, 185, 133, 181, 112, 160)(101, 149, 109, 157, 130, 178, 122, 170, 104, 152, 120, 168, 138, 186, 115, 163)(103, 151, 117, 165, 139, 187, 125, 173, 106, 154, 126, 174, 134, 182, 111, 159)(108, 156, 127, 175, 144, 192, 141, 189, 121, 169, 142, 190, 143, 191, 124, 172)
	L = (1, 100)(2, 106)(3, 111)(4, 104)(5, 108)(6, 117)(7, 97)(8, 121)(9, 124)(10, 119)(11, 127)(12, 98)(13, 131)(14, 133)(15, 129)(16, 99)(17, 102)(18, 103)(19, 137)(20, 101)(21, 136)(22, 135)(23, 116)(24, 112)(25, 114)(26, 113)(27, 139)(28, 109)(29, 105)(30, 107)(31, 115)(32, 134)(33, 141)(34, 143)(35, 140)(36, 126)(37, 138)(38, 110)(39, 130)(40, 142)(41, 132)(42, 144)(43, 118)(44, 125)(45, 120)(46, 122)(47, 123)(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, 12, 4, 12, 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 E26.460
Graph:: bipartite
	v = 14 e = 96 f = 32
	degree seq :: [ 12^8, 16^6 ]

E26.470 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 8})
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 * Y1^-2, (Y3, Y1^-1), (Y1^-1 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y3^-1)^2, (Y2^-1 * Y1)^2, (Y3 * Y2^-1)^2, Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3, Y3 * Y1^-1 * Y2^4, Y1^-6, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^-3 * Y3, Y2^2 * Y3 * Y2^-2 * Y1^-1, Y3^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 23, 71, 19, 67, 5, 53)(3, 51, 13, 61, 33, 81, 40, 88, 24, 72, 11, 59)(4, 52, 10, 58, 25, 73, 20, 68, 7, 55, 12, 60)(6, 54, 18, 66, 37, 85, 39, 87, 26, 74, 9, 57)(14, 62, 32, 80, 41, 89, 48, 96, 45, 93, 35, 83)(15, 63, 34, 82, 42, 90, 30, 78, 16, 64, 31, 79)(17, 65, 28, 76, 21, 69, 38, 86, 43, 91, 29, 77)(22, 70, 27, 75, 44, 92, 47, 95, 46, 94, 36, 84)(97, 145, 99, 147, 110, 158, 124, 172, 108, 156, 127, 175, 118, 166, 102, 150)(98, 146, 105, 153, 123, 171, 112, 160, 100, 148, 113, 161, 128, 176, 107, 155)(101, 149, 114, 162, 132, 180, 111, 159, 103, 151, 117, 165, 131, 179, 109, 157)(104, 152, 120, 168, 137, 185, 125, 173, 106, 154, 126, 174, 140, 188, 122, 170)(115, 163, 129, 177, 141, 189, 134, 182, 116, 164, 130, 178, 142, 190, 133, 181)(119, 167, 135, 183, 143, 191, 138, 186, 121, 169, 139, 187, 144, 192, 136, 184)
	L = (1, 100)(2, 106)(3, 111)(4, 104)(5, 108)(6, 117)(7, 97)(8, 121)(9, 124)(10, 119)(11, 127)(12, 98)(13, 130)(14, 123)(15, 129)(16, 99)(17, 102)(18, 134)(19, 103)(20, 101)(21, 133)(22, 128)(23, 116)(24, 112)(25, 115)(26, 113)(27, 137)(28, 114)(29, 105)(30, 107)(31, 109)(32, 140)(33, 138)(34, 136)(35, 118)(36, 110)(37, 139)(38, 135)(39, 125)(40, 126)(41, 143)(42, 120)(43, 122)(44, 144)(45, 132)(46, 131)(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, 12, 4, 12, 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 E26.457
Graph:: bipartite
	v = 14 e = 96 f = 32
	degree seq :: [ 12^8, 16^6 ]

E26.471 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 6, 6, 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 * Y3)^2, Y2 * Y1 * Y3^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2^-1 * Y3^-1 * Y1, Y1 * Y2^-1 * Y3^2 * Y1, Y1 * Y2 * Y1 * Y2^-2, Y2^6, Y3 * Y1^-1 * Y3 * Y2^-1 * Y1^-2, (Y2^-1 * Y3 * Y2^-1)^2, Y3 * Y1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y1^6 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52, 19, 67, 46, 94, 29, 77, 39, 87, 13, 61, 7, 55)(2, 50, 10, 58, 6, 54, 25, 73, 23, 71, 41, 89, 14, 62, 12, 60)(3, 51, 15, 63, 24, 72, 36, 84, 27, 75, 47, 95, 40, 88, 17, 65)(5, 53, 21, 69, 33, 81, 32, 80, 8, 56, 31, 79, 11, 59, 18, 66)(9, 57, 34, 82, 37, 85, 45, 93, 26, 74, 44, 92, 43, 91, 35, 83)(16, 64, 20, 68, 30, 78, 48, 96, 38, 86, 28, 76, 22, 70, 42, 90)(97, 98, 104, 125, 119, 101)(99, 109, 134, 123, 115, 112)(100, 114, 124, 135, 128, 116)(102, 120, 105, 110, 136, 122)(103, 113, 137, 142, 132, 106)(107, 133, 126, 129, 139, 118)(108, 131, 117, 121, 141, 127)(111, 138, 140, 143, 144, 130)(145, 147, 158, 173, 171, 150)(146, 153, 177, 167, 170, 155)(148, 154, 175, 183, 185, 165)(149, 166, 157, 152, 174, 163)(151, 172, 191, 190, 164, 159)(156, 161, 188, 169, 180, 178)(160, 187, 184, 182, 181, 168)(162, 189, 192, 176, 179, 186)
	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 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E26.477
Graph:: bipartite
	v = 22 e = 96 f = 24
	degree seq :: [ 6^16, 16^6 ]

E26.472 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 6, 6, 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 * Y3^-1 * Y2 * Y3, Y3^2 * Y1^-1 * Y2^-1, (Y3^-1 * Y1)^2, R * Y1 * R * Y2, (R * Y3)^2, Y3^2 * Y2 * Y1^-2, Y3 * Y2^-2 * Y1 * Y3, Y1^6, Y2^6, (Y3^-1 * Y2^-2)^2, (Y2 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52, 13, 61, 39, 87, 29, 77, 47, 95, 22, 70, 7, 55)(2, 50, 10, 58, 14, 62, 41, 89, 21, 69, 27, 75, 6, 54, 12, 60)(3, 51, 15, 63, 40, 88, 45, 93, 26, 74, 37, 85, 24, 72, 17, 65)(5, 53, 20, 68, 11, 59, 32, 80, 8, 56, 31, 79, 33, 81, 23, 71)(9, 57, 34, 82, 43, 91, 42, 90, 25, 73, 46, 94, 36, 84, 35, 83)(16, 64, 44, 92, 19, 67, 18, 66, 38, 86, 48, 96, 30, 78, 28, 76)(97, 98, 104, 125, 117, 101)(99, 109, 134, 122, 118, 112)(100, 111, 137, 143, 133, 108)(102, 120, 105, 110, 136, 121)(103, 116, 114, 135, 127, 124)(106, 130, 119, 123, 142, 128)(107, 132, 126, 129, 139, 115)(113, 140, 138, 141, 144, 131)(145, 147, 158, 173, 170, 150)(146, 153, 177, 165, 169, 155)(148, 162, 189, 191, 172, 161)(149, 163, 157, 152, 174, 166)(151, 156, 176, 183, 185, 167)(154, 159, 186, 171, 181, 179)(160, 187, 184, 182, 180, 168)(164, 190, 192, 175, 178, 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) :: { ( 8^6 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E26.478
Graph:: bipartite
	v = 22 e = 96 f = 24
	degree seq :: [ 6^16, 16^6 ]

E26.473 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 6, 6, 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, R * Y2 * R * Y1, (R * Y3)^2, (Y1 * Y3)^2, (Y3 * Y2)^2, Y1^2 * Y2^-1 * Y1^-1 * Y2^-1, Y1 * Y2 * Y1 * Y2^-2, Y1^6, Y2^6, Y2 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52)(2, 50, 9, 57)(3, 51, 13, 61)(5, 53, 15, 63)(6, 54, 16, 64)(7, 55, 25, 73)(8, 56, 27, 75)(10, 58, 28, 76)(11, 59, 31, 79)(12, 60, 33, 81)(14, 62, 34, 82)(17, 65, 38, 86)(18, 66, 36, 84)(19, 67, 37, 85)(20, 68, 41, 89)(21, 69, 39, 87)(22, 70, 40, 88)(23, 71, 42, 90)(24, 72, 43, 91)(26, 74, 44, 92)(29, 77, 45, 93)(30, 78, 46, 94)(32, 80, 47, 95)(35, 83, 48, 96)(97, 98, 103, 119, 114, 101)(99, 107, 126, 118, 115, 110)(100, 111, 132, 138, 121, 105)(102, 116, 104, 108, 128, 117)(106, 125, 120, 122, 131, 113)(109, 130, 133, 136, 142, 127)(112, 135, 143, 129, 123, 137)(124, 134, 144, 140, 139, 141)(145, 147, 156, 167, 166, 150)(146, 152, 170, 162, 165, 154)(148, 160, 184, 186, 177, 157)(149, 161, 155, 151, 168, 163)(153, 172, 183, 180, 188, 171)(158, 179, 176, 174, 173, 164)(159, 181, 187, 169, 175, 182)(178, 185, 189, 190, 191, 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) :: { ( 32^4 ), ( 32^6 ) }
Outer automorphisms :: reflexible
Dual of E26.475
Graph:: simple bipartite
	v = 40 e = 96 f = 6
	degree seq :: [ 4^24, 6^16 ]

E26.474 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 6, 6, 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, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y1 * Y3 * Y2^-1, Y1^-2 * Y2 * Y1 * Y2, Y1 * Y2 * Y1 * Y2^-2, Y1^6, Y2^6, Y2^-2 * 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^-2 ]
Map:: non-degenerate
	R = (1, 49, 4, 52)(2, 50, 9, 57)(3, 51, 13, 61)(5, 53, 16, 64)(6, 54, 15, 63)(7, 55, 25, 73)(8, 56, 27, 75)(10, 58, 28, 76)(11, 59, 31, 79)(12, 60, 33, 81)(14, 62, 34, 82)(17, 65, 39, 87)(18, 66, 41, 89)(19, 67, 40, 88)(20, 68, 36, 84)(21, 69, 38, 86)(22, 70, 37, 85)(23, 71, 42, 90)(24, 72, 43, 91)(26, 74, 44, 92)(29, 77, 45, 93)(30, 78, 46, 94)(32, 80, 47, 95)(35, 83, 48, 96)(97, 98, 103, 119, 114, 101)(99, 107, 126, 118, 115, 110)(100, 109, 129, 138, 133, 111)(102, 116, 104, 108, 128, 117)(105, 123, 140, 137, 134, 124)(106, 125, 120, 122, 131, 113)(112, 135, 127, 121, 139, 136)(130, 144, 143, 142, 141, 132)(145, 147, 156, 167, 166, 150)(146, 152, 170, 162, 165, 154)(148, 153, 169, 186, 185, 160)(149, 161, 155, 151, 168, 163)(157, 175, 190, 181, 184, 178)(158, 179, 176, 174, 173, 164)(159, 180, 171, 177, 191, 182)(172, 189, 187, 188, 192, 183)
	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 ), ( 32^6 ) }
Outer automorphisms :: reflexible
Dual of E26.476
Graph:: simple bipartite
	v = 40 e = 96 f = 6
	degree seq :: [ 4^24, 6^16 ]

E26.475 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 6, 6, 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 * Y3)^2, Y2 * Y1 * Y3^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2^-1 * Y3^-1 * Y1, Y1 * Y2^-1 * Y3^2 * Y1, Y1 * Y2 * Y1 * Y2^-2, Y2^6, Y3 * Y1^-1 * Y3 * Y2^-1 * Y1^-2, (Y2^-1 * Y3 * Y2^-1)^2, Y3 * Y1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y1^6 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 19, 67, 115, 163, 46, 94, 142, 190, 29, 77, 125, 173, 39, 87, 135, 183, 13, 61, 109, 157, 7, 55, 103, 151)(2, 50, 98, 146, 10, 58, 106, 154, 6, 54, 102, 150, 25, 73, 121, 169, 23, 71, 119, 167, 41, 89, 137, 185, 14, 62, 110, 158, 12, 60, 108, 156)(3, 51, 99, 147, 15, 63, 111, 159, 24, 72, 120, 168, 36, 84, 132, 180, 27, 75, 123, 171, 47, 95, 143, 191, 40, 88, 136, 184, 17, 65, 113, 161)(5, 53, 101, 149, 21, 69, 117, 165, 33, 81, 129, 177, 32, 80, 128, 176, 8, 56, 104, 152, 31, 79, 127, 175, 11, 59, 107, 155, 18, 66, 114, 162)(9, 57, 105, 153, 34, 82, 130, 178, 37, 85, 133, 181, 45, 93, 141, 189, 26, 74, 122, 170, 44, 92, 140, 188, 43, 91, 139, 187, 35, 83, 131, 179)(16, 64, 112, 160, 20, 68, 116, 164, 30, 78, 126, 174, 48, 96, 144, 192, 38, 86, 134, 182, 28, 76, 124, 172, 22, 70, 118, 166, 42, 90, 138, 186)
	L = (1, 50)(2, 56)(3, 61)(4, 66)(5, 49)(6, 72)(7, 65)(8, 77)(9, 62)(10, 55)(11, 85)(12, 83)(13, 86)(14, 88)(15, 90)(16, 51)(17, 89)(18, 76)(19, 64)(20, 52)(21, 73)(22, 59)(23, 53)(24, 57)(25, 93)(26, 54)(27, 67)(28, 87)(29, 71)(30, 81)(31, 60)(32, 68)(33, 91)(34, 63)(35, 69)(36, 58)(37, 78)(38, 75)(39, 80)(40, 74)(41, 94)(42, 92)(43, 70)(44, 95)(45, 79)(46, 84)(47, 96)(48, 82)(97, 147)(98, 153)(99, 158)(100, 154)(101, 166)(102, 145)(103, 172)(104, 174)(105, 177)(106, 175)(107, 146)(108, 161)(109, 152)(110, 173)(111, 151)(112, 187)(113, 188)(114, 189)(115, 149)(116, 159)(117, 148)(118, 157)(119, 170)(120, 160)(121, 180)(122, 155)(123, 150)(124, 191)(125, 171)(126, 163)(127, 183)(128, 179)(129, 167)(130, 156)(131, 186)(132, 178)(133, 168)(134, 181)(135, 185)(136, 182)(137, 165)(138, 162)(139, 184)(140, 169)(141, 192)(142, 164)(143, 190)(144, 176)
	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 E26.473
Transitivity :: VT+
Graph::
	v = 6 e = 96 f = 40
	degree seq :: [ 32^6 ]

E26.476 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 6, 6, 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 * Y3^-1 * Y2 * Y3, Y3^2 * Y1^-1 * Y2^-1, (Y3^-1 * Y1)^2, R * Y1 * R * Y2, (R * Y3)^2, Y3^2 * Y2 * Y1^-2, Y3 * Y2^-2 * Y1 * Y3, Y1^6, Y2^6, (Y3^-1 * Y2^-2)^2, (Y2 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 13, 61, 109, 157, 39, 87, 135, 183, 29, 77, 125, 173, 47, 95, 143, 191, 22, 70, 118, 166, 7, 55, 103, 151)(2, 50, 98, 146, 10, 58, 106, 154, 14, 62, 110, 158, 41, 89, 137, 185, 21, 69, 117, 165, 27, 75, 123, 171, 6, 54, 102, 150, 12, 60, 108, 156)(3, 51, 99, 147, 15, 63, 111, 159, 40, 88, 136, 184, 45, 93, 141, 189, 26, 74, 122, 170, 37, 85, 133, 181, 24, 72, 120, 168, 17, 65, 113, 161)(5, 53, 101, 149, 20, 68, 116, 164, 11, 59, 107, 155, 32, 80, 128, 176, 8, 56, 104, 152, 31, 79, 127, 175, 33, 81, 129, 177, 23, 71, 119, 167)(9, 57, 105, 153, 34, 82, 130, 178, 43, 91, 139, 187, 42, 90, 138, 186, 25, 73, 121, 169, 46, 94, 142, 190, 36, 84, 132, 180, 35, 83, 131, 179)(16, 64, 112, 160, 44, 92, 140, 188, 19, 67, 115, 163, 18, 66, 114, 162, 38, 86, 134, 182, 48, 96, 144, 192, 30, 78, 126, 174, 28, 76, 124, 172)
	L = (1, 50)(2, 56)(3, 61)(4, 63)(5, 49)(6, 72)(7, 68)(8, 77)(9, 62)(10, 82)(11, 84)(12, 52)(13, 86)(14, 88)(15, 89)(16, 51)(17, 92)(18, 87)(19, 59)(20, 66)(21, 53)(22, 64)(23, 75)(24, 57)(25, 54)(26, 70)(27, 94)(28, 55)(29, 69)(30, 81)(31, 76)(32, 58)(33, 91)(34, 71)(35, 65)(36, 78)(37, 60)(38, 74)(39, 79)(40, 73)(41, 95)(42, 93)(43, 67)(44, 90)(45, 96)(46, 80)(47, 85)(48, 83)(97, 147)(98, 153)(99, 158)(100, 162)(101, 163)(102, 145)(103, 156)(104, 174)(105, 177)(106, 159)(107, 146)(108, 176)(109, 152)(110, 173)(111, 186)(112, 187)(113, 148)(114, 189)(115, 157)(116, 190)(117, 169)(118, 149)(119, 151)(120, 160)(121, 155)(122, 150)(123, 181)(124, 161)(125, 170)(126, 166)(127, 178)(128, 183)(129, 165)(130, 188)(131, 154)(132, 168)(133, 179)(134, 180)(135, 185)(136, 182)(137, 167)(138, 171)(139, 184)(140, 164)(141, 191)(142, 192)(143, 172)(144, 175)
	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 E26.474
Transitivity :: VT+
Graph::
	v = 6 e = 96 f = 40
	degree seq :: [ 32^6 ]

E26.477 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 6, 6, 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, R * Y2 * R * Y1, (R * Y3)^2, (Y1 * Y3)^2, (Y3 * Y2)^2, Y1^2 * Y2^-1 * Y1^-1 * Y2^-1, Y1 * Y2 * Y1 * Y2^-2, Y1^6, Y2^6, Y2 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 9, 57, 105, 153)(3, 51, 99, 147, 13, 61, 109, 157)(5, 53, 101, 149, 15, 63, 111, 159)(6, 54, 102, 150, 16, 64, 112, 160)(7, 55, 103, 151, 25, 73, 121, 169)(8, 56, 104, 152, 27, 75, 123, 171)(10, 58, 106, 154, 28, 76, 124, 172)(11, 59, 107, 155, 31, 79, 127, 175)(12, 60, 108, 156, 33, 81, 129, 177)(14, 62, 110, 158, 34, 82, 130, 178)(17, 65, 113, 161, 38, 86, 134, 182)(18, 66, 114, 162, 36, 84, 132, 180)(19, 67, 115, 163, 37, 85, 133, 181)(20, 68, 116, 164, 41, 89, 137, 185)(21, 69, 117, 165, 39, 87, 135, 183)(22, 70, 118, 166, 40, 88, 136, 184)(23, 71, 119, 167, 42, 90, 138, 186)(24, 72, 120, 168, 43, 91, 139, 187)(26, 74, 122, 170, 44, 92, 140, 188)(29, 77, 125, 173, 45, 93, 141, 189)(30, 78, 126, 174, 46, 94, 142, 190)(32, 80, 128, 176, 47, 95, 143, 191)(35, 83, 131, 179, 48, 96, 144, 192)
	L = (1, 50)(2, 55)(3, 59)(4, 63)(5, 49)(6, 68)(7, 71)(8, 60)(9, 52)(10, 77)(11, 78)(12, 80)(13, 82)(14, 51)(15, 84)(16, 87)(17, 58)(18, 53)(19, 62)(20, 56)(21, 54)(22, 67)(23, 66)(24, 74)(25, 57)(26, 83)(27, 89)(28, 86)(29, 72)(30, 70)(31, 61)(32, 69)(33, 75)(34, 85)(35, 65)(36, 90)(37, 88)(38, 96)(39, 95)(40, 94)(41, 64)(42, 73)(43, 93)(44, 91)(45, 76)(46, 79)(47, 81)(48, 92)(97, 147)(98, 152)(99, 156)(100, 160)(101, 161)(102, 145)(103, 168)(104, 170)(105, 172)(106, 146)(107, 151)(108, 167)(109, 148)(110, 179)(111, 181)(112, 184)(113, 155)(114, 165)(115, 149)(116, 158)(117, 154)(118, 150)(119, 166)(120, 163)(121, 175)(122, 162)(123, 153)(124, 183)(125, 164)(126, 173)(127, 182)(128, 174)(129, 157)(130, 185)(131, 176)(132, 188)(133, 187)(134, 159)(135, 180)(136, 186)(137, 189)(138, 177)(139, 169)(140, 171)(141, 190)(142, 191)(143, 192)(144, 178)
	local type(s) :: { ( 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E26.471
Transitivity :: VT+
Graph::
	v = 24 e = 96 f = 22
	degree seq :: [ 8^24 ]

E26.478 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 6, 6, 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, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y1 * Y3 * Y2^-1, Y1^-2 * Y2 * Y1 * Y2, Y1 * Y2 * Y1 * Y2^-2, Y1^6, Y2^6, Y2^-2 * 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^-2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 9, 57, 105, 153)(3, 51, 99, 147, 13, 61, 109, 157)(5, 53, 101, 149, 16, 64, 112, 160)(6, 54, 102, 150, 15, 63, 111, 159)(7, 55, 103, 151, 25, 73, 121, 169)(8, 56, 104, 152, 27, 75, 123, 171)(10, 58, 106, 154, 28, 76, 124, 172)(11, 59, 107, 155, 31, 79, 127, 175)(12, 60, 108, 156, 33, 81, 129, 177)(14, 62, 110, 158, 34, 82, 130, 178)(17, 65, 113, 161, 39, 87, 135, 183)(18, 66, 114, 162, 41, 89, 137, 185)(19, 67, 115, 163, 40, 88, 136, 184)(20, 68, 116, 164, 36, 84, 132, 180)(21, 69, 117, 165, 38, 86, 134, 182)(22, 70, 118, 166, 37, 85, 133, 181)(23, 71, 119, 167, 42, 90, 138, 186)(24, 72, 120, 168, 43, 91, 139, 187)(26, 74, 122, 170, 44, 92, 140, 188)(29, 77, 125, 173, 45, 93, 141, 189)(30, 78, 126, 174, 46, 94, 142, 190)(32, 80, 128, 176, 47, 95, 143, 191)(35, 83, 131, 179, 48, 96, 144, 192)
	L = (1, 50)(2, 55)(3, 59)(4, 61)(5, 49)(6, 68)(7, 71)(8, 60)(9, 75)(10, 77)(11, 78)(12, 80)(13, 81)(14, 51)(15, 52)(16, 87)(17, 58)(18, 53)(19, 62)(20, 56)(21, 54)(22, 67)(23, 66)(24, 74)(25, 91)(26, 83)(27, 92)(28, 57)(29, 72)(30, 70)(31, 73)(32, 69)(33, 90)(34, 96)(35, 65)(36, 82)(37, 63)(38, 76)(39, 79)(40, 64)(41, 86)(42, 85)(43, 88)(44, 89)(45, 84)(46, 93)(47, 94)(48, 95)(97, 147)(98, 152)(99, 156)(100, 153)(101, 161)(102, 145)(103, 168)(104, 170)(105, 169)(106, 146)(107, 151)(108, 167)(109, 175)(110, 179)(111, 180)(112, 148)(113, 155)(114, 165)(115, 149)(116, 158)(117, 154)(118, 150)(119, 166)(120, 163)(121, 186)(122, 162)(123, 177)(124, 189)(125, 164)(126, 173)(127, 190)(128, 174)(129, 191)(130, 157)(131, 176)(132, 171)(133, 184)(134, 159)(135, 172)(136, 178)(137, 160)(138, 185)(139, 188)(140, 192)(141, 187)(142, 181)(143, 182)(144, 183)
	local type(s) :: { ( 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E26.472
Transitivity :: VT+
Graph::
	v = 24 e = 96 f = 22
	degree seq :: [ 8^24 ]

E26.479 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 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, Y3^3, (R * Y1)^2, (Y2^-1 * Y3^-1)^2, (R * Y2)^2, (R * Y3)^2, Y1 * Y3 * Y2 * Y1 * Y3^-1 * Y2^-1, Y1 * Y3 * Y1 * Y3 * Y1 * Y2^-1 * Y1 * Y3, Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 13, 61)(5, 53, 14, 62)(6, 54, 15, 63)(7, 55, 16, 64)(8, 56, 18, 66)(9, 57, 19, 67)(10, 58, 20, 68)(12, 60, 17, 65)(21, 69, 35, 83)(22, 70, 37, 85)(23, 71, 38, 86)(24, 72, 34, 82)(25, 73, 39, 87)(26, 74, 32, 80)(27, 75, 29, 77)(28, 76, 40, 88)(30, 78, 41, 89)(31, 79, 42, 90)(33, 81, 43, 91)(36, 84, 44, 92)(45, 93, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147, 100, 148, 108, 156, 102, 150, 101, 149)(98, 146, 103, 151, 104, 152, 113, 161, 106, 154, 105, 153)(107, 155, 117, 165, 118, 166, 111, 159, 120, 168, 119, 167)(109, 157, 121, 169, 122, 170, 110, 158, 124, 172, 123, 171)(112, 160, 125, 173, 126, 174, 116, 164, 128, 176, 127, 175)(114, 162, 129, 177, 130, 178, 115, 163, 132, 180, 131, 179)(133, 181, 141, 189, 136, 184, 134, 182, 142, 190, 135, 183)(137, 185, 143, 191, 140, 188, 138, 186, 144, 192, 139, 187)
	L = (1, 100)(2, 104)(3, 108)(4, 102)(5, 99)(6, 97)(7, 113)(8, 106)(9, 103)(10, 98)(11, 118)(12, 101)(13, 122)(14, 123)(15, 119)(16, 126)(17, 105)(18, 130)(19, 131)(20, 127)(21, 111)(22, 120)(23, 117)(24, 107)(25, 110)(26, 124)(27, 121)(28, 109)(29, 116)(30, 128)(31, 125)(32, 112)(33, 115)(34, 132)(35, 129)(36, 114)(37, 136)(38, 135)(39, 141)(40, 142)(41, 140)(42, 139)(43, 143)(44, 144)(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) :: { ( 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E26.481
Graph:: bipartite
	v = 32 e = 96 f = 14
	degree seq :: [ 4^24, 12^8 ]

E26.480 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 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, (R * Y1)^2, (Y2^-1 * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y3^-1 * Y1 * Y3, Y3^-1 * Y2 * R * Y2^-1 * R, Y2^2 * Y3^-1 * Y2^-1 * Y3^-1, Y2^-1 * Y3^-1 * Y2^-1 * Y3^2, Y3^-3 * Y2^-3, Y2 * Y1 * Y3^2 * Y1 * Y3 * Y2, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 14, 62)(5, 53, 7, 55)(6, 54, 21, 69)(8, 56, 17, 65)(10, 58, 13, 61)(11, 59, 30, 78)(12, 60, 37, 85)(15, 63, 31, 79)(16, 64, 41, 89)(18, 66, 32, 80)(19, 67, 25, 73)(20, 68, 27, 75)(22, 70, 29, 77)(23, 71, 44, 92)(24, 72, 45, 93)(26, 74, 43, 91)(28, 76, 38, 86)(33, 81, 39, 87)(34, 82, 40, 88)(35, 83, 46, 94)(36, 84, 48, 96)(42, 90, 47, 95)(97, 145, 99, 147, 107, 155, 131, 179, 115, 163, 101, 149)(98, 146, 103, 151, 121, 169, 142, 190, 126, 174, 105, 153)(100, 148, 111, 159, 136, 184, 120, 168, 116, 164, 113, 161)(102, 150, 118, 166, 108, 156, 112, 160, 138, 186, 119, 167)(104, 152, 123, 171, 141, 189, 130, 178, 127, 175, 110, 158)(106, 154, 128, 176, 122, 170, 124, 172, 144, 192, 129, 177)(109, 157, 135, 183, 132, 180, 134, 182, 139, 187, 114, 162)(117, 165, 140, 188, 143, 191, 137, 185, 133, 181, 125, 173)
	L = (1, 100)(2, 104)(3, 108)(4, 112)(5, 114)(6, 97)(7, 122)(8, 124)(9, 125)(10, 98)(11, 132)(12, 134)(13, 99)(14, 133)(15, 107)(16, 131)(17, 139)(18, 111)(19, 119)(20, 101)(21, 103)(22, 113)(23, 109)(24, 102)(25, 143)(26, 137)(27, 121)(28, 142)(29, 123)(30, 129)(31, 105)(32, 110)(33, 117)(34, 106)(35, 120)(36, 116)(37, 144)(38, 115)(39, 118)(40, 135)(41, 126)(42, 136)(43, 138)(44, 128)(45, 140)(46, 130)(47, 127)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.482
Graph:: simple bipartite
	v = 32 e = 96 f = 14
	degree seq :: [ 4^24, 12^8 ]

E26.481 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 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, Y1^-2 * Y3^-1, Y3^3, (Y2^-1 * Y1)^2, (Y1 * Y3^-1)^2, (Y2^-1 * Y3)^2, (Y2 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2^-4 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1^-1 * Y2^2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 10, 58, 4, 52, 5, 53)(3, 51, 11, 59, 14, 62, 26, 74, 13, 61, 9, 57)(6, 54, 16, 64, 21, 69, 28, 76, 18, 66, 19, 67)(8, 56, 23, 71, 17, 65, 15, 63, 25, 73, 22, 70)(12, 60, 31, 79, 33, 81, 20, 68, 32, 80, 30, 78)(24, 72, 29, 77, 41, 89, 27, 75, 34, 82, 40, 88)(35, 83, 42, 90, 37, 85, 36, 84, 39, 87, 38, 86)(43, 91, 45, 93, 48, 96, 44, 92, 46, 94, 47, 95)(97, 145, 99, 147, 108, 156, 124, 172, 106, 154, 122, 170, 116, 164, 102, 150)(98, 146, 104, 152, 120, 168, 110, 158, 100, 148, 111, 159, 123, 171, 105, 153)(101, 149, 112, 160, 131, 179, 118, 166, 103, 151, 114, 162, 132, 180, 113, 161)(107, 155, 125, 173, 139, 187, 129, 177, 109, 157, 130, 178, 140, 188, 126, 174)(115, 163, 128, 176, 142, 190, 134, 182, 117, 165, 127, 175, 141, 189, 133, 181)(119, 167, 135, 183, 143, 191, 137, 185, 121, 169, 138, 186, 144, 192, 136, 184)
	L = (1, 100)(2, 101)(3, 109)(4, 103)(5, 106)(6, 114)(7, 97)(8, 121)(9, 122)(10, 98)(11, 105)(12, 128)(13, 110)(14, 99)(15, 119)(16, 115)(17, 104)(18, 117)(19, 124)(20, 127)(21, 102)(22, 111)(23, 118)(24, 130)(25, 113)(26, 107)(27, 125)(28, 112)(29, 136)(30, 116)(31, 126)(32, 129)(33, 108)(34, 137)(35, 135)(36, 138)(37, 131)(38, 132)(39, 133)(40, 123)(41, 120)(42, 134)(43, 142)(44, 141)(45, 143)(46, 144)(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) :: { ( 4, 12, 4, 12, 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 E26.479
Graph:: bipartite
	v = 14 e = 96 f = 32
	degree seq :: [ 12^8, 16^6 ]

E26.482 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 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, (Y1^-1 * Y2^-1)^2, (Y3 * Y2^-1)^2, Y2^-1 * Y1^-1 * Y3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y1^2 * Y3 * Y1^-1 * Y3, Y1^-1 * Y3 * Y1^-1 * Y3^-2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * R * Y2 * R * Y3, (Y1^-1 * Y2 * Y1^-1)^2, Y1^6, Y1^-1 * Y3 * Y2^6, (Y3^-1 * Y1^-1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 29, 77, 21, 69, 5, 53)(3, 51, 13, 61, 26, 74, 47, 95, 31, 79, 16, 64)(4, 52, 17, 65, 12, 60, 28, 76, 45, 93, 20, 68)(6, 54, 23, 71, 41, 89, 40, 88, 33, 81, 9, 57)(7, 55, 25, 73, 44, 92, 19, 67, 14, 62, 27, 75)(10, 58, 34, 82, 32, 80, 37, 85, 46, 94, 22, 70)(11, 59, 35, 83, 15, 63, 18, 66, 39, 87, 30, 78)(24, 72, 38, 86, 42, 90, 43, 91, 48, 96, 36, 84)(97, 145, 99, 147, 110, 158, 136, 184, 125, 173, 143, 191, 121, 169, 102, 150)(98, 146, 105, 153, 100, 148, 114, 162, 117, 165, 137, 185, 124, 172, 107, 155)(101, 149, 111, 159, 133, 181, 127, 175, 104, 152, 126, 174, 106, 154, 109, 157)(103, 151, 120, 168, 113, 161, 129, 177, 115, 163, 139, 187, 141, 189, 119, 167)(108, 156, 132, 180, 130, 178, 135, 183, 116, 164, 138, 186, 142, 190, 131, 179)(112, 160, 128, 176, 144, 192, 140, 188, 122, 170, 118, 166, 134, 182, 123, 171)
	L = (1, 100)(2, 106)(3, 111)(4, 115)(5, 110)(6, 120)(7, 97)(8, 121)(9, 99)(10, 116)(11, 132)(12, 98)(13, 134)(14, 128)(15, 137)(16, 136)(17, 130)(18, 138)(19, 125)(20, 117)(21, 133)(22, 101)(23, 107)(24, 112)(25, 118)(26, 102)(27, 113)(28, 103)(29, 124)(30, 105)(31, 144)(32, 104)(33, 114)(34, 140)(35, 127)(36, 129)(37, 108)(38, 131)(39, 109)(40, 139)(41, 143)(42, 119)(43, 122)(44, 141)(45, 142)(46, 123)(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) :: { ( 4, 12, 4, 12, 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 E26.480
Graph:: bipartite
	v = 14 e = 96 f = 32
	degree seq :: [ 12^8, 16^6 ]

E26.483 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 12})
Quotient :: dipole
Aut^+ = C3 : Q16 (small group id <48, 18>)
Aut   = (C8 x S3) : C2 (small group id <96, 123>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y1 * Y2, Y3 * Y1 * Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2 * Y3^-2 * Y2^-1, Y3^-6 * Y1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 ]
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, 33, 81)(24, 72, 25, 73)(26, 74, 30, 78)(27, 75, 31, 79)(28, 76, 32, 80)(29, 77, 36, 84)(34, 82, 35, 83)(37, 85, 40, 88)(38, 86, 41, 89)(39, 87, 44, 92)(42, 90, 43, 91)(45, 93, 46, 94)(47, 95, 48, 96)(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, 122, 170, 115, 163, 126, 174)(114, 162, 118, 166, 116, 164, 129, 177)(123, 171, 136, 184, 127, 175, 133, 181)(124, 172, 139, 187, 128, 176, 138, 186)(125, 173, 141, 189, 132, 180, 142, 190)(130, 178, 137, 185, 131, 179, 134, 182)(135, 183, 143, 191, 140, 188, 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, 125)(13, 127)(14, 129)(15, 101)(16, 130)(17, 131)(18, 102)(19, 132)(20, 104)(21, 133)(22, 135)(23, 136)(24, 138)(25, 139)(26, 106)(27, 112)(28, 107)(29, 116)(30, 111)(31, 113)(32, 109)(33, 140)(34, 142)(35, 141)(36, 114)(37, 120)(38, 117)(39, 126)(40, 121)(41, 119)(42, 144)(43, 143)(44, 122)(45, 124)(46, 128)(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) :: { ( 16, 24, 16, 24 ), ( 16, 24, 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E26.490
Graph:: bipartite
	v = 36 e = 96 f = 10
	degree seq :: [ 4^24, 8^12 ]

E26.484 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 12})
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^-2 * Y2 * Y3^-1, (Y2 * Y1^-1)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1^-1)^2, (Y2, Y3^-1), (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (Y3 * Y1^-1)^2, Y1^-1 * Y2^-4 * 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, 31, 79, 21, 69, 27, 75)(15, 63, 32, 80, 41, 89, 34, 82)(16, 64, 30, 78, 42, 90, 33, 81)(18, 66, 29, 77, 43, 91, 37, 85)(22, 70, 28, 76, 44, 92, 39, 87)(35, 83, 46, 94, 38, 86, 48, 96)(36, 84, 45, 93, 40, 88, 47, 95)(97, 145, 99, 147, 110, 158, 121, 169, 104, 152, 119, 167, 117, 165, 102, 150)(98, 146, 105, 153, 123, 171, 109, 157, 101, 149, 115, 163, 127, 175, 107, 155)(100, 148, 111, 159, 131, 179, 139, 187, 120, 168, 137, 185, 134, 182, 114, 162)(103, 151, 112, 160, 132, 180, 140, 188, 122, 170, 138, 186, 136, 184, 118, 166)(106, 154, 124, 172, 141, 189, 129, 177, 116, 164, 135, 183, 143, 191, 126, 174)(108, 156, 125, 173, 142, 190, 130, 178, 113, 161, 133, 181, 144, 192, 128, 176)
	L = (1, 100)(2, 106)(3, 111)(4, 112)(5, 116)(6, 114)(7, 97)(8, 120)(9, 124)(10, 125)(11, 126)(12, 98)(13, 129)(14, 131)(15, 132)(16, 99)(17, 101)(18, 103)(19, 135)(20, 133)(21, 134)(22, 102)(23, 137)(24, 138)(25, 139)(26, 104)(27, 141)(28, 142)(29, 105)(30, 108)(31, 143)(32, 107)(33, 113)(34, 109)(35, 140)(36, 110)(37, 115)(38, 118)(39, 144)(40, 117)(41, 136)(42, 119)(43, 122)(44, 121)(45, 130)(46, 123)(47, 128)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.487
Graph:: bipartite
	v = 18 e = 96 f = 28
	degree seq :: [ 8^12, 16^6 ]

E26.485 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 12})
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^-1 * Y3^-1)^2, (Y2 * Y1^-1)^2, (R * Y2)^2, (Y1^-1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, (Y3, Y2), Y1^4, Y3 * Y1^-1 * Y3^-2 * Y1^-1 * Y2^-1, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, Y2^3 * Y1 * Y2^-1 * Y1^-1, Y3^-1 * Y2 * Y1^-1 * Y3^2 * Y1^-1, Y3 * Y2^-1 * Y3^2 * Y1^-2, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-2 * Y2^-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^-2 ]
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, 22, 70, 29, 77)(15, 63, 35, 83, 43, 91, 37, 85)(16, 64, 33, 81, 18, 66, 36, 84)(19, 67, 31, 79, 24, 72, 32, 80)(23, 71, 30, 78, 44, 92, 42, 90)(38, 86, 46, 94, 41, 89, 47, 95)(39, 87, 45, 93, 40, 88, 48, 96)(97, 145, 99, 147, 110, 158, 123, 171, 104, 152, 121, 169, 118, 166, 102, 150)(98, 146, 105, 153, 125, 173, 109, 157, 101, 149, 116, 164, 130, 178, 107, 155)(100, 148, 111, 159, 134, 182, 120, 168, 122, 170, 139, 187, 137, 185, 115, 163)(103, 151, 112, 160, 135, 183, 140, 188, 124, 172, 114, 162, 136, 184, 119, 167)(106, 154, 126, 174, 141, 189, 132, 180, 117, 165, 138, 186, 144, 192, 129, 177)(108, 156, 127, 175, 142, 190, 133, 181, 113, 161, 128, 176, 143, 191, 131, 179)
	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, 132)(14, 134)(15, 136)(16, 99)(17, 101)(18, 121)(19, 124)(20, 138)(21, 127)(22, 137)(23, 102)(24, 103)(25, 139)(26, 112)(27, 120)(28, 104)(29, 141)(30, 143)(31, 105)(32, 116)(33, 113)(34, 144)(35, 107)(36, 108)(37, 109)(38, 119)(39, 110)(40, 118)(41, 140)(42, 142)(43, 135)(44, 123)(45, 131)(46, 125)(47, 130)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.488
Graph:: bipartite
	v = 18 e = 96 f = 28
	degree seq :: [ 8^12, 16^6 ]

E26.486 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 12})
Quotient :: dipole
Aut^+ = C3 : Q16 (small group id <48, 18>)
Aut   = (C8 x S3) : C2 (small group id <96, 123>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, Y3 * Y1^2 * Y3, (Y3^-1 * Y1^-1)^2, Y1^4, (R * Y3)^2, (R * Y1)^2, R * Y2 * R * Y1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^4 * Y3^-1 * Y1^-1, Y1^-1 * Y2 * Y1^-2 * Y2^-1 * Y3^-1, Y2^-1 * R * Y2^2 * R * Y2^-1, Y2^-1 * Y1 * Y2^-2 * Y3^-1 * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (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, 24, 72, 16, 64, 20, 68)(25, 73, 33, 81, 27, 75, 34, 82)(26, 74, 35, 83, 28, 76, 36, 84)(29, 77, 37, 85, 31, 79, 38, 86)(30, 78, 39, 87, 32, 80, 40, 88)(41, 89, 46, 94, 43, 91, 48, 96)(42, 90, 45, 93, 44, 92, 47, 95)(97, 145, 99, 147, 106, 154, 114, 162, 102, 150, 113, 161, 112, 160, 101, 149)(98, 146, 103, 151, 116, 164, 109, 157, 100, 148, 108, 156, 120, 168, 104, 152)(105, 153, 121, 169, 110, 158, 124, 172, 107, 155, 123, 171, 111, 159, 122, 170)(115, 163, 125, 173, 118, 166, 128, 176, 117, 165, 127, 175, 119, 167, 126, 174)(129, 177, 137, 185, 131, 179, 140, 188, 130, 178, 139, 187, 132, 180, 138, 186)(133, 181, 141, 189, 135, 183, 144, 192, 134, 182, 143, 191, 136, 184, 142, 190)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 115)(8, 118)(9, 113)(10, 120)(11, 99)(12, 117)(13, 119)(14, 114)(15, 101)(16, 116)(17, 107)(18, 111)(19, 108)(20, 106)(21, 103)(22, 109)(23, 104)(24, 112)(25, 129)(26, 131)(27, 130)(28, 132)(29, 133)(30, 135)(31, 134)(32, 136)(33, 123)(34, 121)(35, 124)(36, 122)(37, 127)(38, 125)(39, 128)(40, 126)(41, 142)(42, 141)(43, 144)(44, 143)(45, 140)(46, 139)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.489
Graph:: bipartite
	v = 18 e = 96 f = 28
	degree seq :: [ 8^12, 16^6 ]

E26.487 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 12})
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 * Y3^-2, (Y2 * Y1)^2, (Y2 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1, Y1 * Y2 * Y1^-3 * Y3^-1 * Y2 * Y3 * Y1, Y1^3 * Y3 * Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y2, (Y3^-1 * Y1^-1)^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 17, 65, 32, 80, 43, 91, 42, 90, 44, 92, 45, 93, 28, 76, 14, 62, 5, 53)(3, 51, 10, 58, 22, 70, 39, 87, 38, 86, 27, 75, 26, 74, 31, 79, 48, 96, 33, 81, 18, 66, 8, 56)(4, 52, 9, 57, 19, 67, 34, 82, 41, 89, 24, 72, 25, 73, 37, 85, 46, 94, 29, 77, 15, 63, 6, 54)(11, 59, 23, 71, 40, 88, 36, 84, 21, 69, 13, 61, 16, 64, 30, 78, 47, 95, 35, 83, 20, 68, 12, 60)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 109, 157)(101, 149, 106, 154)(102, 150, 112, 160)(103, 151, 114, 162)(105, 153, 117, 165)(107, 155, 120, 168)(108, 156, 121, 169)(110, 158, 118, 166)(111, 159, 126, 174)(113, 161, 129, 177)(115, 163, 132, 180)(116, 164, 133, 181)(119, 167, 137, 185)(122, 170, 138, 186)(123, 171, 140, 188)(124, 172, 135, 183)(125, 173, 143, 191)(127, 175, 139, 187)(128, 176, 144, 192)(130, 178, 136, 184)(131, 179, 142, 190)(134, 182, 141, 189)
	L = (1, 100)(2, 105)(3, 107)(4, 98)(5, 102)(6, 97)(7, 115)(8, 108)(9, 103)(10, 119)(11, 106)(12, 99)(13, 122)(14, 111)(15, 101)(16, 127)(17, 130)(18, 116)(19, 113)(20, 104)(21, 123)(22, 136)(23, 118)(24, 138)(25, 140)(26, 112)(27, 109)(28, 125)(29, 110)(30, 144)(31, 126)(32, 137)(33, 131)(34, 128)(35, 114)(36, 134)(37, 141)(38, 117)(39, 132)(40, 135)(41, 139)(42, 121)(43, 120)(44, 133)(45, 142)(46, 124)(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) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E26.484
Graph:: simple bipartite
	v = 28 e = 96 f = 18
	degree seq :: [ 4^24, 24^4 ]

E26.488 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 12})
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, (Y2 * Y1)^2, (R * Y1)^2, Y1^-1 * Y2 * Y3^-1 * Y2 * Y3, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^3 * Y1^-1 * Y3, (Y2 * Y3^-2)^2, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-3, Y1 * Y3 * Y1 * Y3 * Y1^3, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 21, 69, 38, 86, 20, 68, 28, 76, 15, 63, 27, 75, 35, 83, 17, 65, 5, 53)(3, 51, 11, 59, 29, 77, 44, 92, 43, 91, 32, 80, 33, 81, 31, 79, 46, 94, 39, 87, 22, 70, 8, 56)(4, 52, 9, 57, 23, 71, 36, 84, 18, 66, 6, 54, 10, 58, 24, 72, 40, 88, 47, 95, 34, 82, 16, 64)(12, 60, 30, 78, 45, 93, 41, 89, 25, 73, 13, 61, 19, 67, 37, 85, 48, 96, 42, 90, 26, 74, 14, 62)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 110, 158)(101, 149, 107, 155)(102, 150, 115, 163)(103, 151, 118, 166)(105, 153, 122, 170)(106, 154, 109, 157)(108, 156, 112, 160)(111, 159, 128, 176)(113, 161, 125, 173)(114, 162, 133, 181)(116, 164, 127, 175)(117, 165, 135, 183)(119, 167, 138, 186)(120, 168, 121, 169)(123, 171, 139, 187)(124, 172, 129, 177)(126, 174, 130, 178)(131, 179, 140, 188)(132, 180, 144, 192)(134, 182, 142, 190)(136, 184, 137, 185)(141, 189, 143, 191)
	L = (1, 100)(2, 105)(3, 108)(4, 111)(5, 112)(6, 97)(7, 119)(8, 110)(9, 123)(10, 98)(11, 126)(12, 127)(13, 99)(14, 129)(15, 120)(16, 124)(17, 130)(18, 101)(19, 107)(20, 102)(21, 132)(22, 122)(23, 131)(24, 103)(25, 104)(26, 128)(27, 136)(28, 106)(29, 141)(30, 142)(31, 133)(32, 109)(33, 115)(34, 116)(35, 143)(36, 113)(37, 125)(38, 114)(39, 138)(40, 117)(41, 118)(42, 139)(43, 121)(44, 137)(45, 135)(46, 144)(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, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E26.485
Graph:: simple bipartite
	v = 28 e = 96 f = 18
	degree seq :: [ 4^24, 24^4 ]

E26.489 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 12})
Quotient :: dipole
Aut^+ = C3 : Q16 (small group id <48, 18>)
Aut   = (C8 x S3) : C2 (small group id <96, 123>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y3^2, Y1^-1 * Y2 * Y1 * Y2, (Y3 * R)^2, (R * Y1)^2, (R * Y2)^2, Y1^-2 * Y3^-1 * Y1^-2 * Y3, Y1^-6 * Y2, Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1, (Y3^-1 * Y1)^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 19, 67, 27, 75, 11, 59, 3, 51, 8, 56, 20, 68, 34, 82, 15, 63, 5, 53)(4, 52, 12, 60, 28, 76, 40, 88, 22, 70, 18, 66, 6, 54, 17, 65, 35, 83, 39, 87, 21, 69, 13, 61)(9, 57, 23, 71, 14, 62, 33, 81, 38, 86, 26, 74, 10, 58, 25, 73, 16, 64, 36, 84, 37, 85, 24, 72)(29, 77, 42, 90, 31, 79, 44, 92, 47, 95, 46, 94, 30, 78, 41, 89, 32, 80, 43, 91, 48, 96, 45, 93)(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, 130, 178)(117, 165, 118, 166)(119, 167, 121, 169)(120, 168, 122, 170)(124, 172, 131, 179)(125, 173, 126, 174)(127, 175, 128, 176)(129, 177, 132, 180)(133, 181, 134, 182)(135, 183, 136, 184)(137, 185, 138, 186)(139, 187, 140, 188)(141, 189, 142, 190)(143, 191, 144, 192)
	L = (1, 100)(2, 105)(3, 102)(4, 99)(5, 110)(6, 97)(7, 117)(8, 106)(9, 104)(10, 98)(11, 112)(12, 125)(13, 127)(14, 107)(15, 124)(16, 101)(17, 126)(18, 128)(19, 133)(20, 118)(21, 116)(22, 103)(23, 137)(24, 139)(25, 138)(26, 140)(27, 131)(28, 123)(29, 113)(30, 108)(31, 114)(32, 109)(33, 142)(34, 134)(35, 111)(36, 141)(37, 130)(38, 115)(39, 143)(40, 144)(41, 121)(42, 119)(43, 122)(44, 120)(45, 129)(46, 132)(47, 136)(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, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E26.486
Graph:: bipartite
	v = 28 e = 96 f = 18
	degree seq :: [ 4^24, 24^4 ]

E26.490 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 12})
Quotient :: dipole
Aut^+ = C3 : Q16 (small group id <48, 18>)
Aut   = (C8 x S3) : C2 (small group id <96, 123>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y2)^2, Y2^-1 * Y3^2 * Y2^-1, (R * Y1)^2, (R * Y2)^2, (Y3, Y2), Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1, (R * Y3)^2, Y3 * Y1^-1 * Y2 * Y1^-1, Y2^-2 * Y1^-1 * Y2^-2 * Y1, Y3^-1 * Y1^2 * Y2 * Y1^-2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, Y3^2 * Y2^3 * Y3, Y1^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 23, 71, 16, 64, 30, 78, 20, 68, 5, 53)(3, 51, 13, 61, 25, 73, 11, 59, 4, 52, 17, 65, 24, 72, 12, 60)(6, 54, 19, 67, 27, 75, 9, 57, 7, 55, 18, 66, 26, 74, 10, 58)(14, 62, 31, 79, 39, 87, 33, 81, 15, 63, 32, 80, 40, 88, 34, 82)(21, 69, 28, 76, 41, 89, 38, 86, 22, 70, 29, 77, 42, 90, 37, 85)(35, 83, 45, 93, 48, 96, 44, 92, 36, 84, 46, 94, 47, 95, 43, 91)(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, 114, 162, 133, 181, 141, 189, 129, 177, 109, 157, 119, 167, 115, 163, 134, 182, 142, 190, 130, 178, 113, 161)(104, 152, 120, 168, 135, 183, 143, 191, 138, 186, 123, 171, 116, 164, 121, 169, 136, 184, 144, 192, 137, 185, 122, 170)
	L = (1, 100)(2, 106)(3, 111)(4, 110)(5, 115)(6, 112)(7, 97)(8, 121)(9, 125)(10, 124)(11, 126)(12, 98)(13, 101)(14, 132)(15, 131)(16, 99)(17, 119)(18, 134)(19, 133)(20, 120)(21, 103)(22, 102)(23, 114)(24, 136)(25, 135)(26, 116)(27, 104)(28, 140)(29, 139)(30, 105)(31, 108)(32, 107)(33, 113)(34, 109)(35, 117)(36, 118)(37, 142)(38, 141)(39, 144)(40, 143)(41, 123)(42, 122)(43, 127)(44, 128)(45, 130)(46, 129)(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, 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 E26.483
Graph:: bipartite
	v = 10 e = 96 f = 36
	degree seq :: [ 16^6, 24^4 ]

E26.491 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 12})
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, Y3^2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^2)^2, Y2^-1 * Y3 * Y2 * Y3 * Y2^-2, Y3 * Y1 * Y2 * Y1 * Y3 * Y2^-1, (Y2^2 * Y1)^2, (R * Y2 * Y3)^2, (Y1 * Y2)^4, Y3 * Y2^2 * Y1 * Y3 * Y1 * Y3 * Y1, Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 12, 60)(5, 53, 15, 63)(6, 54, 18, 66)(7, 55, 21, 69)(8, 56, 24, 72)(10, 58, 26, 74)(11, 59, 29, 77)(13, 61, 34, 82)(14, 62, 35, 83)(16, 64, 33, 81)(17, 65, 19, 67)(20, 68, 38, 86)(22, 70, 43, 91)(23, 71, 44, 92)(25, 73, 42, 90)(27, 75, 36, 84)(28, 76, 45, 93)(30, 78, 46, 94)(31, 79, 41, 89)(32, 80, 40, 88)(37, 85, 47, 95)(39, 87, 48, 96)(97, 145, 99, 147, 106, 154, 114, 162, 132, 180, 120, 168, 113, 161, 101, 149)(98, 146, 102, 150, 115, 163, 105, 153, 123, 171, 111, 159, 122, 170, 104, 152)(100, 148, 109, 157, 127, 175, 107, 155, 126, 174, 112, 160, 124, 172, 110, 158)(103, 151, 118, 166, 136, 184, 116, 164, 135, 183, 121, 169, 133, 181, 119, 167)(108, 156, 125, 173, 141, 189, 130, 178, 142, 190, 131, 179, 137, 185, 129, 177)(117, 165, 134, 182, 143, 191, 139, 187, 144, 192, 140, 188, 128, 176, 138, 186)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 112)(6, 116)(7, 98)(8, 121)(9, 118)(10, 124)(11, 99)(12, 128)(13, 114)(14, 120)(15, 119)(16, 101)(17, 127)(18, 109)(19, 133)(20, 102)(21, 137)(22, 105)(23, 111)(24, 110)(25, 104)(26, 136)(27, 135)(28, 106)(29, 134)(30, 132)(31, 113)(32, 108)(33, 139)(34, 138)(35, 140)(36, 126)(37, 115)(38, 125)(39, 123)(40, 122)(41, 117)(42, 130)(43, 129)(44, 131)(45, 144)(46, 143)(47, 142)(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) :: { ( 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 E26.497
Graph:: simple bipartite
	v = 30 e = 96 f = 16
	degree seq :: [ 4^24, 16^6 ]

E26.492 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 12})
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, Y3^2, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, Y2^-1 * Y1 * Y2 * Y1 * Y2^-2, Y1 * Y2^-1 * Y1 * Y3 * Y2 * Y3, (Y2^-2 * Y1)^2, (Y3 * Y2^-2)^2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y2^-2 * Y1 * Y3 * Y1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 12, 60)(5, 53, 15, 63)(6, 54, 18, 66)(7, 55, 21, 69)(8, 56, 24, 72)(10, 58, 26, 74)(11, 59, 29, 77)(13, 61, 34, 82)(14, 62, 35, 83)(16, 64, 33, 81)(17, 65, 19, 67)(20, 68, 38, 86)(22, 70, 43, 91)(23, 71, 44, 92)(25, 73, 42, 90)(27, 75, 36, 84)(28, 76, 41, 89)(30, 78, 45, 93)(31, 79, 46, 94)(32, 80, 37, 85)(39, 87, 47, 95)(40, 88, 48, 96)(97, 145, 99, 147, 106, 154, 114, 162, 132, 180, 120, 168, 113, 161, 101, 149)(98, 146, 102, 150, 115, 163, 105, 153, 123, 171, 111, 159, 122, 170, 104, 152)(100, 148, 109, 157, 127, 175, 107, 155, 126, 174, 112, 160, 124, 172, 110, 158)(103, 151, 118, 166, 136, 184, 116, 164, 135, 183, 121, 169, 133, 181, 119, 167)(108, 156, 125, 173, 137, 185, 130, 178, 141, 189, 131, 179, 142, 190, 129, 177)(117, 165, 134, 182, 128, 176, 139, 187, 143, 191, 140, 188, 144, 192, 138, 186)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 112)(6, 116)(7, 98)(8, 121)(9, 118)(10, 124)(11, 99)(12, 128)(13, 114)(14, 120)(15, 119)(16, 101)(17, 127)(18, 109)(19, 133)(20, 102)(21, 137)(22, 105)(23, 111)(24, 110)(25, 104)(26, 136)(27, 135)(28, 106)(29, 140)(30, 132)(31, 113)(32, 108)(33, 138)(34, 139)(35, 134)(36, 126)(37, 115)(38, 131)(39, 123)(40, 122)(41, 117)(42, 129)(43, 130)(44, 125)(45, 144)(46, 143)(47, 142)(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) :: { ( 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 E26.496
Graph:: simple bipartite
	v = 30 e = 96 f = 16
	degree seq :: [ 4^24, 16^6 ]

E26.493 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 12})
Quotient :: dipole
Aut^+ = (C3 : C8) : C2 (small group id <48, 16>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^-1 * Y3^-3, Y2 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1, Y3 * Y1 * Y2 * Y1 * Y3 * Y2^-1, Y2^2 * Y3^3 * Y1, Y2 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1, Y3 * Y1 * Y2 * Y3 * Y2 * Y1, Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y1, Y3^-1 * Y2^-2 * Y3^-2 * Y1, Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y1, Y3^-2 * Y1 * Y3^2 * Y1, Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y3, (Y2^-1 * Y1 * Y2^-1)^2, Y2^2 * Y3^-3 * Y1, Y1 * Y2^3 * Y1 * Y2^-1, (Y3 * Y2^-1)^4, (Y1 * Y2)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 15, 63)(5, 53, 19, 67)(6, 54, 23, 71)(7, 55, 27, 75)(8, 56, 31, 79)(9, 57, 35, 83)(10, 58, 39, 87)(12, 60, 37, 85)(13, 61, 36, 84)(14, 62, 38, 86)(16, 64, 34, 82)(17, 65, 33, 81)(18, 66, 32, 80)(20, 68, 29, 77)(21, 69, 28, 76)(22, 70, 30, 78)(24, 72, 41, 89)(25, 73, 40, 88)(26, 74, 42, 90)(43, 91, 46, 94)(44, 92, 47, 95)(45, 93, 48, 96)(97, 145, 99, 147, 108, 156, 123, 171, 142, 190, 131, 179, 117, 165, 101, 149)(98, 146, 103, 151, 124, 172, 107, 155, 139, 187, 115, 163, 133, 181, 105, 153)(100, 148, 112, 160, 141, 189, 110, 158, 127, 175, 118, 166, 138, 186, 114, 162)(102, 150, 120, 168, 140, 188, 109, 157, 135, 183, 116, 164, 129, 177, 121, 169)(104, 152, 128, 176, 144, 192, 126, 174, 111, 159, 134, 182, 122, 170, 130, 178)(106, 154, 136, 184, 143, 191, 125, 173, 119, 167, 132, 180, 113, 161, 137, 185)
	L = (1, 100)(2, 104)(3, 109)(4, 113)(5, 116)(6, 97)(7, 125)(8, 129)(9, 132)(10, 98)(11, 136)(12, 138)(13, 130)(14, 99)(15, 140)(16, 123)(17, 124)(18, 131)(19, 137)(20, 134)(21, 141)(22, 101)(23, 139)(24, 128)(25, 126)(26, 102)(27, 120)(28, 122)(29, 114)(30, 103)(31, 143)(32, 107)(33, 108)(34, 115)(35, 121)(36, 118)(37, 144)(38, 105)(39, 142)(40, 112)(41, 110)(42, 106)(43, 111)(44, 117)(45, 119)(46, 127)(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) :: { ( 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 E26.498
Graph:: simple bipartite
	v = 30 e = 96 f = 16
	degree seq :: [ 4^24, 16^6 ]

E26.494 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 12})
Quotient :: dipole
Aut^+ = (C3 : C8) : C2 (small group id <48, 16>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y2^-1 * Y1 * Y3 * Y2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2 * Y1 * Y3 * Y2, Y2 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1, Y3^2 * Y2^-2 * Y3 * Y1, Y3^-1 * Y1 * Y2^-2 * Y3^-2, Y3 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y1, Y3^-3 * Y2^2 * Y1, Y3^-2 * Y2^-2 * Y3^-1 * Y1, Y2 * Y3^3 * Y2^-1 * Y1, Y2^-1 * Y3 * Y2 * Y3 * Y2^-2, Y3 * Y2^-2 * Y3^-1 * Y2^-2, (Y3^-1 * Y1)^12 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 15, 63)(5, 53, 19, 67)(6, 54, 23, 71)(7, 55, 27, 75)(8, 56, 31, 79)(9, 57, 35, 83)(10, 58, 39, 87)(12, 60, 37, 85)(13, 61, 36, 84)(14, 62, 38, 86)(16, 64, 34, 82)(17, 65, 33, 81)(18, 66, 32, 80)(20, 68, 29, 77)(21, 69, 28, 76)(22, 70, 30, 78)(24, 72, 41, 89)(25, 73, 40, 88)(26, 74, 42, 90)(43, 91, 46, 94)(44, 92, 47, 95)(45, 93, 48, 96)(97, 145, 99, 147, 108, 156, 123, 171, 142, 190, 131, 179, 117, 165, 101, 149)(98, 146, 103, 151, 124, 172, 107, 155, 139, 187, 115, 163, 133, 181, 105, 153)(100, 148, 112, 160, 138, 186, 110, 158, 127, 175, 118, 166, 140, 188, 114, 162)(102, 150, 120, 168, 129, 177, 109, 157, 135, 183, 116, 164, 141, 189, 121, 169)(104, 152, 128, 176, 122, 170, 126, 174, 111, 159, 134, 182, 143, 191, 130, 178)(106, 154, 136, 184, 113, 161, 125, 173, 119, 167, 132, 180, 144, 192, 137, 185)
	L = (1, 100)(2, 104)(3, 109)(4, 113)(5, 116)(6, 97)(7, 125)(8, 129)(9, 132)(10, 98)(11, 136)(12, 140)(13, 126)(14, 99)(15, 141)(16, 123)(17, 133)(18, 131)(19, 137)(20, 128)(21, 138)(22, 101)(23, 139)(24, 134)(25, 130)(26, 102)(27, 120)(28, 143)(29, 110)(30, 103)(31, 144)(32, 107)(33, 117)(34, 115)(35, 121)(36, 112)(37, 122)(38, 105)(39, 142)(40, 118)(41, 114)(42, 106)(43, 111)(44, 119)(45, 108)(46, 127)(47, 135)(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) :: { ( 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 E26.499
Graph:: simple bipartite
	v = 30 e = 96 f = 16
	degree seq :: [ 4^24, 16^6 ]

E26.495 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 12})
Quotient :: dipole
Aut^+ = C3 : Q16 (small group id <48, 18>)
Aut   = (C8 x S3) : C2 (small group id <96, 123>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y1 * Y3 * Y1 * Y3^-1, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y3)^2, Y3 * Y1 * Y2 * Y3 * Y2, Y2 * Y1 * Y3^-1 * Y2 * Y3^-1, Y1 * Y2^4, (R * Y2 * Y3^-1)^2, Y2 * R * Y2^-2 * R * Y2, Y1 * Y3^-6, Y3^3 * Y2^-1 * Y3^-3 * 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, 18, 66)(12, 60, 21, 69)(13, 61, 16, 64)(14, 62, 19, 67)(15, 63, 23, 71)(17, 65, 20, 68)(22, 70, 24, 72)(25, 73, 29, 77)(26, 74, 28, 76)(27, 75, 37, 85)(30, 78, 34, 82)(31, 79, 33, 81)(32, 80, 38, 86)(35, 83, 36, 84)(39, 87, 43, 91)(40, 88, 42, 90)(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, 125, 173, 109, 157, 104, 152, 115, 163, 121, 169, 112, 160)(102, 150, 116, 164, 124, 172, 108, 156, 106, 154, 113, 161, 122, 170, 117, 165)(111, 159, 126, 174, 135, 183, 127, 175, 119, 167, 130, 178, 139, 187, 129, 177)(118, 166, 123, 171, 136, 184, 132, 180, 120, 168, 133, 181, 138, 186, 131, 179)(128, 176, 141, 189, 144, 192, 140, 188, 134, 182, 142, 190, 143, 191, 137, 185)
	L = (1, 100)(2, 104)(3, 108)(4, 111)(5, 113)(6, 97)(7, 117)(8, 119)(9, 116)(10, 98)(11, 121)(12, 123)(13, 99)(14, 105)(15, 128)(16, 103)(17, 131)(18, 125)(19, 101)(20, 132)(21, 133)(22, 102)(23, 134)(24, 106)(25, 135)(26, 107)(27, 137)(28, 114)(29, 139)(30, 109)(31, 110)(32, 120)(33, 115)(34, 112)(35, 141)(36, 142)(37, 140)(38, 118)(39, 143)(40, 122)(41, 130)(42, 124)(43, 144)(44, 126)(45, 127)(46, 129)(47, 138)(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, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E26.500
Graph:: bipartite
	v = 30 e = 96 f = 16
	degree seq :: [ 4^24, 16^6 ]

E26.496 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 12})
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 * Y3^2, (Y3 * Y1^-1)^2, Y1 * Y2 * Y1^-1 * Y2, (R * Y2^-1)^2, (Y3 * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y1^4, Y2^4 * Y1^-1 * Y2^-2 * Y1^-1, (Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 11, 59, 21, 69, 14, 62)(4, 52, 16, 64, 22, 70, 12, 60)(6, 54, 9, 57, 23, 71, 18, 66)(7, 55, 19, 67, 24, 72, 10, 58)(13, 61, 28, 76, 37, 85, 30, 78)(15, 63, 32, 80, 38, 86, 27, 75)(17, 65, 33, 81, 39, 87, 26, 74)(20, 68, 25, 73, 40, 88, 35, 83)(29, 77, 44, 92, 36, 84, 41, 89)(31, 79, 46, 94, 48, 96, 43, 91)(34, 82, 47, 95, 45, 93, 42, 90)(97, 145, 99, 147, 109, 157, 125, 173, 136, 184, 119, 167, 104, 152, 117, 165, 133, 181, 132, 180, 116, 164, 102, 150)(98, 146, 105, 153, 121, 169, 137, 185, 126, 174, 110, 158, 101, 149, 114, 162, 131, 179, 140, 188, 124, 172, 107, 155)(100, 148, 103, 151, 111, 159, 127, 175, 141, 189, 135, 183, 118, 166, 120, 168, 134, 182, 144, 192, 130, 178, 113, 161)(106, 154, 108, 156, 122, 170, 138, 186, 142, 190, 128, 176, 115, 163, 112, 160, 129, 177, 143, 191, 139, 187, 123, 171)
	L = (1, 100)(2, 106)(3, 103)(4, 102)(5, 115)(6, 113)(7, 97)(8, 118)(9, 108)(10, 107)(11, 123)(12, 98)(13, 111)(14, 128)(15, 99)(16, 101)(17, 116)(18, 112)(19, 110)(20, 130)(21, 120)(22, 119)(23, 135)(24, 104)(25, 122)(26, 105)(27, 124)(28, 139)(29, 127)(30, 142)(31, 109)(32, 126)(33, 114)(34, 132)(35, 129)(36, 144)(37, 134)(38, 117)(39, 136)(40, 141)(41, 138)(42, 121)(43, 140)(44, 143)(45, 125)(46, 137)(47, 131)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.492
Graph:: bipartite
	v = 16 e = 96 f = 30
	degree seq :: [ 8^12, 24^4 ]

E26.497 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 12})
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, (R * Y1)^2, (Y1 * Y3)^2, Y1 * Y2 * Y1^-1 * Y2, (Y3, Y2), (R * Y2^-1)^2, Y1^4, (R * Y3)^2, (Y3 * Y1^-1)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y1^-2, Y2^-1 * Y1^2 * Y3^-2, Y3 * Y1^-1 * Y2^-1 * Y3^-1 * Y1, Y2 * Y1^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2^3 * Y3^-1 * Y2 * Y3^-1 * Y2, Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 11, 59, 24, 72, 15, 63)(4, 52, 17, 65, 23, 71, 12, 60)(6, 54, 9, 57, 18, 66, 20, 68)(7, 55, 21, 69, 14, 62, 10, 58)(13, 61, 28, 76, 34, 82, 31, 79)(16, 64, 33, 81, 30, 78, 27, 75)(19, 67, 35, 83, 36, 84, 26, 74)(22, 70, 25, 73, 37, 85, 39, 87)(29, 77, 44, 92, 40, 88, 41, 89)(32, 80, 46, 94, 45, 93, 43, 91)(38, 86, 47, 95, 48, 96, 42, 90)(97, 145, 99, 147, 109, 157, 125, 173, 133, 181, 114, 162, 104, 152, 120, 168, 130, 178, 136, 184, 118, 166, 102, 150)(98, 146, 105, 153, 121, 169, 137, 185, 127, 175, 111, 159, 101, 149, 116, 164, 135, 183, 140, 188, 124, 172, 107, 155)(100, 148, 110, 158, 126, 174, 141, 189, 144, 192, 132, 180, 119, 167, 103, 151, 112, 160, 128, 176, 134, 182, 115, 163)(106, 154, 113, 161, 131, 179, 143, 191, 142, 190, 129, 177, 117, 165, 108, 156, 122, 170, 138, 186, 139, 187, 123, 171)
	L = (1, 100)(2, 106)(3, 110)(4, 114)(5, 117)(6, 115)(7, 97)(8, 119)(9, 113)(10, 111)(11, 123)(12, 98)(13, 126)(14, 104)(15, 129)(16, 99)(17, 101)(18, 132)(19, 133)(20, 108)(21, 107)(22, 134)(23, 102)(24, 103)(25, 131)(26, 105)(27, 127)(28, 139)(29, 141)(30, 120)(31, 142)(32, 109)(33, 124)(34, 112)(35, 116)(36, 118)(37, 144)(38, 125)(39, 122)(40, 128)(41, 143)(42, 121)(43, 137)(44, 138)(45, 130)(46, 140)(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, 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 E26.491
Graph:: bipartite
	v = 16 e = 96 f = 30
	degree seq :: [ 8^12, 24^4 ]

E26.498 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 12})
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^-1 * Y2^-1 * Y1, Y1^4, (Y3 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y2^3 * Y3^2, Y2^2 * Y3^-1 * Y2^-1 * Y3^-1, Y3^-1 * Y1 * Y2 * Y3^-1 * Y2 * Y1^-1, Y1^-1 * Y2 * Y1^-1 * Y3 * Y2^-1 * Y3^-1, Y1^-1 * R * Y2^-1 * R * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3^-4, Y2 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1^-1, Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 11, 59, 29, 77, 15, 63)(4, 52, 17, 65, 30, 78, 12, 60)(6, 54, 9, 57, 31, 79, 21, 69)(7, 55, 22, 70, 32, 80, 10, 58)(13, 61, 40, 88, 47, 95, 45, 93)(14, 62, 42, 90, 20, 68, 41, 89)(16, 64, 36, 84, 27, 75, 39, 87)(18, 66, 35, 83, 23, 71, 43, 91)(19, 67, 44, 92, 28, 76, 37, 85)(24, 72, 33, 81, 46, 94, 48, 96)(25, 73, 38, 86, 26, 74, 34, 82)(97, 145, 99, 147, 109, 157, 124, 172, 142, 190, 127, 175, 104, 152, 125, 173, 143, 191, 115, 163, 120, 168, 102, 150)(98, 146, 105, 153, 129, 177, 140, 188, 141, 189, 111, 159, 101, 149, 117, 165, 144, 192, 133, 181, 136, 184, 107, 155)(100, 148, 114, 162, 123, 171, 103, 151, 122, 170, 110, 158, 126, 174, 119, 167, 112, 160, 128, 176, 121, 169, 116, 164)(106, 154, 132, 180, 139, 187, 108, 156, 138, 186, 130, 178, 118, 166, 135, 183, 131, 179, 113, 161, 137, 185, 134, 182)
	L = (1, 100)(2, 106)(3, 110)(4, 115)(5, 118)(6, 119)(7, 97)(8, 126)(9, 130)(10, 133)(11, 135)(12, 98)(13, 121)(14, 120)(15, 132)(16, 99)(17, 101)(18, 109)(19, 128)(20, 142)(21, 134)(22, 140)(23, 143)(24, 123)(25, 102)(26, 127)(27, 125)(28, 103)(29, 116)(30, 124)(31, 114)(32, 104)(33, 137)(34, 136)(35, 105)(36, 129)(37, 113)(38, 141)(39, 144)(40, 139)(41, 107)(42, 111)(43, 117)(44, 108)(45, 131)(46, 112)(47, 122)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.493
Graph:: bipartite
	v = 16 e = 96 f = 30
	degree seq :: [ 8^12, 24^4 ]

E26.499 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 12})
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 * Y1)^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y3)^2, (Y3 * Y1^-1)^2, Y1^4, (R * Y1)^2, Y2^2 * Y3 * Y2^-1 * Y3, Y2^2 * Y3^-2 * Y2, Y1^-2 * Y2^-1 * Y3^-1 * Y2^-1 * Y3, Y1^-1 * R * Y2^-1 * R * Y2 * Y1^-1, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, Y1^-1 * Y2 * Y1^-2 * Y2^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y3^3 * Y1^-1 * Y3^-1 * Y1, Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 11, 59, 29, 77, 15, 63)(4, 52, 17, 65, 30, 78, 12, 60)(6, 54, 9, 57, 31, 79, 21, 69)(7, 55, 22, 70, 32, 80, 10, 58)(13, 61, 40, 88, 47, 95, 45, 93)(14, 62, 42, 90, 20, 68, 41, 89)(16, 64, 36, 84, 27, 75, 39, 87)(18, 66, 35, 83, 23, 71, 43, 91)(19, 67, 44, 92, 28, 76, 37, 85)(24, 72, 33, 81, 46, 94, 48, 96)(25, 73, 38, 86, 26, 74, 34, 82)(97, 145, 99, 147, 109, 157, 115, 163, 142, 190, 127, 175, 104, 152, 125, 173, 143, 191, 124, 172, 120, 168, 102, 150)(98, 146, 105, 153, 129, 177, 133, 181, 141, 189, 111, 159, 101, 149, 117, 165, 144, 192, 140, 188, 136, 184, 107, 155)(100, 148, 114, 162, 112, 160, 128, 176, 121, 169, 110, 158, 126, 174, 119, 167, 123, 171, 103, 151, 122, 170, 116, 164)(106, 154, 132, 180, 131, 179, 113, 161, 137, 185, 130, 178, 118, 166, 135, 183, 139, 187, 108, 156, 138, 186, 134, 182)
	L = (1, 100)(2, 106)(3, 110)(4, 115)(5, 118)(6, 119)(7, 97)(8, 126)(9, 130)(10, 133)(11, 135)(12, 98)(13, 122)(14, 142)(15, 132)(16, 99)(17, 101)(18, 143)(19, 128)(20, 120)(21, 134)(22, 140)(23, 109)(24, 112)(25, 102)(26, 127)(27, 125)(28, 103)(29, 116)(30, 124)(31, 114)(32, 104)(33, 138)(34, 141)(35, 105)(36, 144)(37, 113)(38, 136)(39, 129)(40, 131)(41, 107)(42, 111)(43, 117)(44, 108)(45, 139)(46, 123)(47, 121)(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, 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 E26.494
Graph:: bipartite
	v = 16 e = 96 f = 30
	degree seq :: [ 8^12, 24^4 ]

E26.500 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 12})
Quotient :: dipole
Aut^+ = C3 : Q16 (small group id <48, 18>)
Aut   = (C8 x S3) : C2 (small group id <96, 123>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, Y1 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y1^4, Y1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2 * Y3, Y2^-1 * R * Y2^2 * R * Y2^-1, Y2^-2 * Y1 * Y2^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2^-3 * Y1^2 * Y2^-3, (Y3 * Y2^-1)^8 ]
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, 24, 72, 35, 83, 28, 76)(16, 64, 20, 68, 36, 84, 31, 79)(25, 73, 40, 88, 29, 77, 37, 85)(26, 74, 43, 91, 30, 78, 42, 90)(27, 75, 45, 93, 34, 82, 46, 94)(32, 80, 41, 89, 33, 81, 38, 86)(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, 124, 172, 109, 157, 100, 148, 108, 156, 127, 175, 140, 188, 120, 168, 104, 152)(105, 153, 121, 169, 110, 158, 128, 176, 142, 190, 126, 174, 107, 155, 125, 173, 111, 159, 129, 177, 141, 189, 122, 170)(115, 163, 133, 181, 118, 166, 138, 186, 144, 192, 137, 185, 117, 165, 136, 184, 119, 167, 139, 187, 143, 191, 134, 182)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 115)(8, 118)(9, 113)(10, 120)(11, 99)(12, 117)(13, 119)(14, 114)(15, 101)(16, 116)(17, 107)(18, 111)(19, 108)(20, 132)(21, 103)(22, 109)(23, 104)(24, 131)(25, 136)(26, 139)(27, 141)(28, 106)(29, 133)(30, 138)(31, 112)(32, 137)(33, 134)(34, 142)(35, 124)(36, 127)(37, 121)(38, 128)(39, 143)(40, 125)(41, 129)(42, 122)(43, 126)(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, 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 E26.495
Graph:: bipartite
	v = 16 e = 96 f = 30
	degree seq :: [ 8^12, 24^4 ]

E26.501 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 12})
Quotient :: dipole
Aut^+ = (C3 : C8) : C2 (small group id <48, 16>)
Aut   = (C6 x D8) : C2 (small group id <96, 139>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, Y1^4, Y2^-2 * Y1^-1 * Y2^-2 * Y1, Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y3^-2 * Y1^-1 * Y2^-2 * Y1^-1, Y3 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y1^-1 * Y3^-1 * Y2^2 * Y3^-1 * Y1^-1, Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3^-1 * Y1^2 * Y3 * Y1^-2, Y3^2 * Y1^-2 * Y3^2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * R * Y2^-1 * R * Y2^-1, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1, Y3 * Y2^-1 * Y3 * Y1 * Y2 * Y1^-1, Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, (Y1 * Y2^-1 * Y1^-1 * Y2^-1)^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, 25, 73, 31, 79, 27, 75)(7, 55, 23, 71, 32, 80, 10, 58)(9, 57, 33, 81, 22, 70, 36, 84)(11, 59, 41, 89, 24, 72, 43, 91)(14, 62, 39, 87, 20, 68, 34, 82)(15, 63, 38, 86, 47, 95, 46, 94)(17, 65, 40, 88, 26, 74, 44, 92)(19, 67, 35, 83, 48, 96, 45, 93)(21, 69, 37, 85, 28, 76, 42, 90)(97, 145, 99, 147, 110, 158, 127, 175, 104, 152, 125, 173, 116, 164, 102, 150)(98, 146, 105, 153, 130, 178, 120, 168, 101, 149, 118, 166, 135, 183, 107, 155)(100, 148, 115, 163, 103, 151, 124, 172, 126, 174, 144, 192, 128, 176, 117, 165)(106, 154, 134, 182, 108, 156, 140, 188, 119, 167, 142, 190, 114, 162, 136, 184)(109, 157, 141, 189, 121, 169, 138, 186, 112, 160, 131, 179, 123, 171, 133, 181)(111, 159, 137, 185, 113, 161, 132, 180, 143, 191, 139, 187, 122, 170, 129, 177)
	L = (1, 100)(2, 106)(3, 111)(4, 116)(5, 119)(6, 122)(7, 97)(8, 126)(9, 131)(10, 135)(11, 138)(12, 98)(13, 140)(14, 103)(15, 102)(16, 136)(17, 99)(18, 101)(19, 129)(20, 128)(21, 139)(22, 141)(23, 130)(24, 133)(25, 142)(26, 125)(27, 134)(28, 137)(29, 143)(30, 110)(31, 113)(32, 104)(33, 117)(34, 108)(35, 107)(36, 124)(37, 105)(38, 112)(39, 114)(40, 121)(41, 115)(42, 118)(43, 144)(44, 123)(45, 120)(46, 109)(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) :: { ( 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 E26.503
Graph:: bipartite
	v = 18 e = 96 f = 28
	degree seq :: [ 8^12, 16^6 ]

E26.502 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 12})
Quotient :: dipole
Aut^+ = (C3 : C8) : C2 (small group id <48, 16>)
Aut   = (C6 x D8) : C2 (small group id <96, 139>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^2, (Y3 * Y1^-1)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * R * Y3^2 * R * Y2^-1, Y3 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y2^2 * Y3^-1 * Y1^-1, Y2 * Y3^-2 * Y2 * Y1^-2, Y2^-1 * Y3^-1 * Y2 * Y1 * Y2 * Y1^-1, Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y3^2 * Y1^-1 * Y3^-2 * Y1^-1, Y3^4 * Y1^-2, Y2 * Y1^-1 * Y3 * Y2 * Y3^-1 * Y1^-1, Y2^-1 * Y3^-1 * R * Y2^-1 * R * Y3, Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, R * Y2 * Y3 * R * Y2^-1 * Y3^-1, Y1^-1 * Y2^-4 * Y1^-1, Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, (Y3 * Y2^-1)^12 ]
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, 25, 73, 31, 79, 27, 75)(7, 55, 23, 71, 32, 80, 10, 58)(9, 57, 33, 81, 22, 70, 36, 84)(11, 59, 41, 89, 24, 72, 43, 91)(14, 62, 39, 87, 20, 68, 34, 82)(15, 63, 38, 86, 47, 95, 45, 93)(17, 65, 40, 88, 26, 74, 44, 92)(19, 67, 35, 83, 48, 96, 46, 94)(21, 69, 37, 85, 28, 76, 42, 90)(97, 145, 99, 147, 110, 158, 127, 175, 104, 152, 125, 173, 116, 164, 102, 150)(98, 146, 105, 153, 130, 178, 120, 168, 101, 149, 118, 166, 135, 183, 107, 155)(100, 148, 115, 163, 103, 151, 124, 172, 126, 174, 144, 192, 128, 176, 117, 165)(106, 154, 134, 182, 108, 156, 140, 188, 119, 167, 141, 189, 114, 162, 136, 184)(109, 157, 131, 179, 121, 169, 133, 181, 112, 160, 142, 190, 123, 171, 138, 186)(111, 159, 139, 187, 113, 161, 129, 177, 143, 191, 137, 185, 122, 170, 132, 180)
	L = (1, 100)(2, 106)(3, 111)(4, 116)(5, 119)(6, 122)(7, 97)(8, 126)(9, 131)(10, 135)(11, 138)(12, 98)(13, 140)(14, 103)(15, 102)(16, 136)(17, 99)(18, 101)(19, 129)(20, 128)(21, 139)(22, 142)(23, 130)(24, 133)(25, 141)(26, 125)(27, 134)(28, 137)(29, 143)(30, 110)(31, 113)(32, 104)(33, 117)(34, 108)(35, 107)(36, 124)(37, 105)(38, 112)(39, 114)(40, 121)(41, 115)(42, 118)(43, 144)(44, 123)(45, 109)(46, 120)(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) :: { ( 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 E26.504
Graph:: bipartite
	v = 18 e = 96 f = 28
	degree seq :: [ 8^12, 16^6 ]

E26.503 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 12})
Quotient :: dipole
Aut^+ = (C3 : C8) : C2 (small group id <48, 16>)
Aut   = (C6 x D8) : C2 (small group id <96, 139>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1^-3 * Y3, Y1 * Y3 * Y1^-1 * Y3 * Y1, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2, Y3 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y2 * Y3 * Y1 * Y2, Y1^-1 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y2, Y1 * Y3^3 * Y1 * Y3, Y1 * Y2 * Y1^-2 * Y2 * Y1, Y3^-3 * Y2 * Y3 * Y2, (Y3^2 * Y2)^2, (Y3^-1 * Y2)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 17, 65, 34, 82, 40, 88, 48, 96, 37, 85, 46, 94, 26, 74, 21, 69, 5, 53)(3, 51, 11, 59, 27, 75, 39, 87, 47, 95, 19, 67, 30, 78, 8, 56, 28, 76, 45, 93, 42, 90, 13, 61)(4, 52, 15, 63, 10, 58, 35, 83, 22, 70, 9, 57, 32, 80, 20, 68, 25, 73, 6, 54, 23, 71, 18, 66)(12, 60, 38, 86, 33, 81, 16, 64, 43, 91, 36, 84, 24, 72, 41, 89, 31, 79, 14, 62, 44, 92, 29, 77)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 112, 160)(101, 149, 115, 163)(102, 150, 120, 168)(103, 151, 123, 171)(105, 153, 129, 177)(106, 154, 132, 180)(107, 155, 133, 181)(108, 156, 131, 179)(109, 157, 136, 184)(110, 158, 128, 176)(111, 159, 140, 188)(113, 161, 141, 189)(114, 162, 127, 175)(116, 164, 139, 187)(117, 165, 138, 186)(118, 166, 137, 185)(119, 167, 134, 182)(121, 169, 125, 173)(122, 170, 135, 183)(124, 172, 142, 190)(126, 174, 144, 192)(130, 178, 143, 191)
	L = (1, 100)(2, 105)(3, 108)(4, 113)(5, 116)(6, 97)(7, 119)(8, 125)(9, 130)(10, 98)(11, 132)(12, 135)(13, 137)(14, 99)(15, 142)(16, 126)(17, 131)(18, 117)(19, 134)(20, 103)(21, 106)(22, 101)(23, 136)(24, 141)(25, 133)(26, 102)(27, 140)(28, 139)(29, 138)(30, 120)(31, 104)(32, 122)(33, 107)(34, 121)(35, 144)(36, 143)(37, 114)(38, 124)(39, 112)(40, 111)(41, 123)(42, 129)(43, 109)(44, 115)(45, 110)(46, 118)(47, 127)(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, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E26.501
Graph:: simple bipartite
	v = 28 e = 96 f = 18
	degree seq :: [ 4^24, 24^4 ]

E26.504 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 12})
Quotient :: dipole
Aut^+ = (C3 : C8) : C2 (small group id <48, 16>)
Aut   = (C6 x D8) : C2 (small group id <96, 139>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (R * Y3)^2, (R * Y1)^2, Y3^2 * Y1^3, Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y2, Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y2, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2, Y3^-1 * Y1 * Y3^-3 * Y1, Y1^-1 * Y3 * Y2 * Y3 * Y1 * Y2, Y1 * Y2 * Y1^-2 * Y2 * Y1, (Y1 * Y2 * Y1^-1 * Y2)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 26, 74, 36, 84, 40, 88, 48, 96, 37, 85, 46, 94, 17, 65, 21, 69, 5, 53)(3, 51, 11, 59, 27, 75, 45, 93, 47, 95, 19, 67, 30, 78, 8, 56, 28, 76, 39, 87, 42, 90, 13, 61)(4, 52, 15, 63, 25, 73, 6, 54, 23, 71, 9, 57, 32, 80, 20, 68, 10, 58, 34, 82, 22, 70, 18, 66)(12, 60, 38, 86, 31, 79, 14, 62, 44, 92, 35, 83, 24, 72, 41, 89, 33, 81, 16, 64, 43, 91, 29, 77)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 112, 160)(101, 149, 115, 163)(102, 150, 120, 168)(103, 151, 123, 171)(105, 153, 129, 177)(106, 154, 131, 179)(107, 155, 133, 181)(108, 156, 130, 178)(109, 157, 136, 184)(110, 158, 128, 176)(111, 159, 140, 188)(113, 161, 141, 189)(114, 162, 127, 175)(116, 164, 139, 187)(117, 165, 138, 186)(118, 166, 137, 185)(119, 167, 134, 182)(121, 169, 125, 173)(122, 170, 135, 183)(124, 172, 142, 190)(126, 174, 144, 192)(132, 180, 143, 191)
	L = (1, 100)(2, 105)(3, 108)(4, 113)(5, 116)(6, 97)(7, 118)(8, 125)(9, 117)(10, 98)(11, 131)(12, 135)(13, 137)(14, 99)(15, 103)(16, 126)(17, 130)(18, 132)(19, 134)(20, 142)(21, 121)(22, 101)(23, 136)(24, 141)(25, 133)(26, 102)(27, 139)(28, 140)(29, 143)(30, 120)(31, 104)(32, 122)(33, 107)(34, 144)(35, 138)(36, 106)(37, 114)(38, 123)(39, 112)(40, 111)(41, 124)(42, 127)(43, 109)(44, 115)(45, 110)(46, 119)(47, 129)(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, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E26.502
Graph:: simple bipartite
	v = 28 e = 96 f = 18
	degree seq :: [ 4^24, 24^4 ]

E26.505 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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 * Y3^2, (R * Y3)^2, (Y1 * Y2)^2, (R * Y1)^2, (R * Y2)^2, Y2^4, Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1, Y1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y2, (Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 13, 61)(5, 53, 7, 55)(6, 54, 15, 63)(8, 56, 18, 66)(10, 58, 20, 68)(11, 59, 16, 64)(12, 60, 21, 69)(14, 62, 22, 70)(17, 65, 26, 74)(19, 67, 27, 75)(23, 71, 32, 80)(24, 72, 33, 81)(25, 73, 34, 82)(28, 76, 36, 84)(29, 77, 37, 85)(30, 78, 38, 86)(31, 79, 39, 87)(35, 83, 44, 92)(40, 88, 47, 95)(41, 89, 48, 96)(42, 90, 45, 93)(43, 91, 46, 94)(97, 145, 99, 147, 107, 155, 101, 149)(98, 146, 103, 151, 112, 160, 105, 153)(100, 148, 102, 150, 108, 156, 110, 158)(104, 152, 106, 154, 113, 161, 115, 163)(109, 157, 118, 166, 117, 165, 111, 159)(114, 162, 123, 171, 122, 170, 116, 164)(119, 167, 120, 168, 127, 175, 121, 169)(124, 172, 125, 173, 131, 179, 126, 174)(128, 176, 130, 178, 135, 183, 129, 177)(132, 180, 134, 182, 140, 188, 133, 181)(136, 184, 137, 185, 139, 187, 138, 186)(141, 189, 142, 190, 144, 192, 143, 191)
	L = (1, 100)(2, 104)(3, 102)(4, 101)(5, 110)(6, 97)(7, 106)(8, 105)(9, 115)(10, 98)(11, 108)(12, 99)(13, 119)(14, 107)(15, 121)(16, 113)(17, 103)(18, 124)(19, 112)(20, 126)(21, 127)(22, 120)(23, 111)(24, 109)(25, 117)(26, 131)(27, 125)(28, 116)(29, 114)(30, 122)(31, 118)(32, 136)(33, 138)(34, 137)(35, 123)(36, 141)(37, 143)(38, 142)(39, 139)(40, 129)(41, 128)(42, 135)(43, 130)(44, 144)(45, 133)(46, 132)(47, 140)(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) :: { ( 16, 24, 16, 24 ), ( 16, 24, 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E26.512
Graph:: simple bipartite
	v = 36 e = 96 f = 10
	degree seq :: [ 4^24, 8^12 ]

E26.506 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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 * Y3^-2, (R * Y3)^2, (Y1 * Y2)^2, Y2^4, (R * Y2)^2, (R * Y1)^2, Y3 * Y1 * Y2^-2 * Y1 * Y3^-1 * Y2^-2, Y2 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y3, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 13, 61)(5, 53, 7, 55)(6, 54, 15, 63)(8, 56, 18, 66)(10, 58, 20, 68)(11, 59, 16, 64)(12, 60, 21, 69)(14, 62, 24, 72)(17, 65, 26, 74)(19, 67, 29, 77)(22, 70, 32, 80)(23, 71, 33, 81)(25, 73, 34, 82)(27, 75, 36, 84)(28, 76, 37, 85)(30, 78, 38, 86)(31, 79, 39, 87)(35, 83, 44, 92)(40, 88, 47, 95)(41, 89, 48, 96)(42, 90, 45, 93)(43, 91, 46, 94)(97, 145, 99, 147, 107, 155, 101, 149)(98, 146, 103, 151, 112, 160, 105, 153)(100, 148, 108, 156, 110, 158, 102, 150)(104, 152, 113, 161, 115, 163, 106, 154)(109, 157, 111, 159, 120, 168, 117, 165)(114, 162, 116, 164, 125, 173, 122, 170)(118, 166, 121, 169, 127, 175, 119, 167)(123, 171, 126, 174, 131, 179, 124, 172)(128, 176, 129, 177, 135, 183, 130, 178)(132, 180, 133, 181, 140, 188, 134, 182)(136, 184, 138, 186, 139, 187, 137, 185)(141, 189, 143, 191, 144, 192, 142, 190)
	L = (1, 100)(2, 104)(3, 108)(4, 99)(5, 102)(6, 97)(7, 113)(8, 103)(9, 106)(10, 98)(11, 110)(12, 107)(13, 118)(14, 101)(15, 121)(16, 115)(17, 112)(18, 123)(19, 105)(20, 126)(21, 119)(22, 111)(23, 109)(24, 127)(25, 120)(26, 124)(27, 116)(28, 114)(29, 131)(30, 125)(31, 117)(32, 136)(33, 138)(34, 137)(35, 122)(36, 141)(37, 143)(38, 142)(39, 139)(40, 129)(41, 128)(42, 135)(43, 130)(44, 144)(45, 133)(46, 132)(47, 140)(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) :: { ( 16, 24, 16, 24 ), ( 16, 24, 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E26.511
Graph:: simple bipartite
	v = 36 e = 96 f = 10
	degree seq :: [ 4^24, 8^12 ]

E26.507 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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, Y1^4, (Y2 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (Y3^-1 * Y1)^2, Y3^4 * Y1^-2, Y1^-1 * Y2^-4 * Y1^-1, Y3^-1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1, Y3^2 * Y1^-1 * Y3^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^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, 21, 69, 27, 75, 9, 57)(7, 55, 22, 70, 28, 76, 10, 58)(14, 62, 33, 81, 19, 67, 29, 77)(15, 63, 30, 78, 43, 91, 37, 85)(16, 64, 35, 83, 23, 71, 31, 79)(18, 66, 32, 80, 44, 92, 41, 89)(20, 68, 36, 84, 24, 72, 34, 82)(38, 86, 47, 95, 42, 90, 46, 94)(39, 87, 48, 96, 40, 88, 45, 93)(97, 145, 99, 147, 110, 158, 123, 171, 104, 152, 121, 169, 115, 163, 102, 150)(98, 146, 105, 153, 125, 173, 109, 157, 101, 149, 117, 165, 129, 177, 107, 155)(100, 148, 114, 162, 103, 151, 120, 168, 122, 170, 140, 188, 124, 172, 116, 164)(106, 154, 128, 176, 108, 156, 132, 180, 118, 166, 137, 185, 113, 161, 130, 178)(111, 159, 134, 182, 112, 160, 136, 184, 139, 187, 138, 186, 119, 167, 135, 183)(126, 174, 141, 189, 127, 175, 143, 191, 133, 181, 144, 192, 131, 179, 142, 190)
	L = (1, 100)(2, 106)(3, 111)(4, 115)(5, 118)(6, 119)(7, 97)(8, 122)(9, 126)(10, 129)(11, 131)(12, 98)(13, 127)(14, 103)(15, 102)(16, 99)(17, 101)(18, 135)(19, 124)(20, 138)(21, 133)(22, 125)(23, 121)(24, 134)(25, 139)(26, 110)(27, 112)(28, 104)(29, 108)(30, 107)(31, 105)(32, 142)(33, 113)(34, 144)(35, 117)(36, 141)(37, 109)(38, 114)(39, 116)(40, 120)(41, 143)(42, 140)(43, 123)(44, 136)(45, 128)(46, 130)(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) :: { ( 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 E26.509
Graph:: bipartite
	v = 18 e = 96 f = 28
	degree seq :: [ 8^12, 16^6 ]

E26.508 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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, Y1^4, (Y2^-1 * Y1^-1)^2, (Y2 * Y1^-1)^2, (Y3^-1 * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y3^2 * Y1^-1 * Y3^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^-4 * Y1^-1, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3^-1 * R * Y2 * Y3 * R * Y2^-1, Y1^-1 * Y3^4 * Y1^-1 ]
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, 21, 69, 27, 75, 9, 57)(7, 55, 22, 70, 28, 76, 10, 58)(14, 62, 33, 81, 19, 67, 29, 77)(15, 63, 30, 78, 43, 91, 37, 85)(16, 64, 35, 83, 23, 71, 31, 79)(18, 66, 32, 80, 44, 92, 41, 89)(20, 68, 36, 84, 24, 72, 34, 82)(38, 86, 47, 95, 42, 90, 46, 94)(39, 87, 48, 96, 40, 88, 45, 93)(97, 145, 99, 147, 110, 158, 123, 171, 104, 152, 121, 169, 115, 163, 102, 150)(98, 146, 105, 153, 125, 173, 109, 157, 101, 149, 117, 165, 129, 177, 107, 155)(100, 148, 114, 162, 103, 151, 120, 168, 122, 170, 140, 188, 124, 172, 116, 164)(106, 154, 128, 176, 108, 156, 132, 180, 118, 166, 137, 185, 113, 161, 130, 178)(111, 159, 134, 182, 112, 160, 136, 184, 139, 187, 138, 186, 119, 167, 135, 183)(126, 174, 141, 189, 127, 175, 143, 191, 133, 181, 144, 192, 131, 179, 142, 190)
	L = (1, 100)(2, 106)(3, 111)(4, 115)(5, 118)(6, 119)(7, 97)(8, 122)(9, 126)(10, 129)(11, 131)(12, 98)(13, 127)(14, 103)(15, 102)(16, 99)(17, 101)(18, 136)(19, 124)(20, 134)(21, 133)(22, 125)(23, 121)(24, 138)(25, 139)(26, 110)(27, 112)(28, 104)(29, 108)(30, 107)(31, 105)(32, 143)(33, 113)(34, 141)(35, 117)(36, 144)(37, 109)(38, 140)(39, 120)(40, 116)(41, 142)(42, 114)(43, 123)(44, 135)(45, 137)(46, 132)(47, 130)(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, 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 E26.510
Graph:: bipartite
	v = 18 e = 96 f = 28
	degree seq :: [ 8^12, 16^6 ]

E26.509 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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, (Y1^-1 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y3^-1 * Y1^-2 * Y3^-1, Y1^3 * Y3^-2, Y3^-1 * Y2 * Y3^3 * Y2, Y1 * Y3^3 * Y1 * Y3, (Y3^-2 * Y2)^2, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 16, 64, 30, 78, 41, 89, 45, 93, 43, 91, 40, 88, 24, 72, 19, 67, 5, 53)(3, 51, 11, 59, 33, 81, 36, 84, 47, 95, 46, 94, 42, 90, 48, 96, 44, 92, 39, 87, 25, 73, 8, 56)(4, 52, 14, 62, 10, 58, 31, 79, 20, 68, 9, 57, 28, 76, 18, 66, 23, 71, 6, 54, 21, 69, 17, 65)(12, 60, 32, 80, 35, 83, 15, 63, 27, 75, 34, 82, 22, 70, 26, 74, 38, 86, 13, 61, 29, 77, 37, 85)(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, 128, 176)(108, 156, 127, 175)(109, 157, 124, 172)(110, 158, 131, 179)(112, 160, 135, 183)(113, 161, 123, 171)(114, 162, 134, 182)(115, 163, 129, 177)(116, 164, 133, 181)(117, 165, 130, 178)(119, 167, 122, 170)(120, 168, 132, 180)(126, 174, 140, 188)(136, 184, 143, 191)(137, 185, 144, 192)(138, 186, 141, 189)(139, 187, 142, 190)
	L = (1, 100)(2, 105)(3, 108)(4, 112)(5, 114)(6, 97)(7, 117)(8, 122)(9, 126)(10, 98)(11, 130)(12, 132)(13, 99)(14, 136)(15, 138)(16, 127)(17, 115)(18, 103)(19, 106)(20, 101)(21, 137)(22, 135)(23, 139)(24, 102)(25, 131)(26, 129)(27, 104)(28, 120)(29, 142)(30, 119)(31, 141)(32, 140)(33, 125)(34, 143)(35, 107)(36, 111)(37, 121)(38, 144)(39, 109)(40, 116)(41, 110)(42, 118)(43, 113)(44, 123)(45, 124)(46, 128)(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) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E26.507
Graph:: simple bipartite
	v = 28 e = 96 f = 18
	degree seq :: [ 4^24, 24^4 ]

E26.510 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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, (Y1^-1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y3 * Y1^-2 * Y3, Y1^3 * Y3^2, Y1 * Y3 * Y1 * Y2 * Y3 * Y2, (R * Y2 * Y3^-1)^2, Y3^3 * Y2 * Y3^-1 * Y2, Y1 * Y3^-3 * Y1 * Y3^-1, (Y3^2 * Y2)^2, (Y3^-1 * Y2)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 24, 72, 32, 80, 40, 88, 45, 93, 43, 91, 42, 90, 16, 64, 19, 67, 5, 53)(3, 51, 11, 59, 33, 81, 39, 87, 47, 95, 46, 94, 41, 89, 48, 96, 44, 92, 36, 84, 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, 31, 79, 38, 86, 13, 61, 29, 77, 34, 82, 22, 70, 26, 74, 35, 83, 15, 63, 27, 75, 37, 85)(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, 127, 175)(108, 156, 126, 174)(109, 157, 124, 172)(110, 158, 131, 179)(112, 160, 135, 183)(113, 161, 123, 171)(114, 162, 134, 182)(115, 163, 129, 177)(116, 164, 133, 181)(117, 165, 130, 178)(119, 167, 122, 170)(120, 168, 132, 180)(128, 176, 140, 188)(136, 184, 144, 192)(137, 185, 141, 189)(138, 186, 143, 191)(139, 187, 142, 190)
	L = (1, 100)(2, 105)(3, 108)(4, 112)(5, 114)(6, 97)(7, 116)(8, 122)(9, 115)(10, 98)(11, 130)(12, 132)(13, 99)(14, 103)(15, 137)(16, 126)(17, 128)(18, 138)(19, 119)(20, 101)(21, 136)(22, 135)(23, 139)(24, 102)(25, 134)(26, 140)(27, 104)(28, 120)(29, 142)(30, 141)(31, 129)(32, 106)(33, 123)(34, 121)(35, 107)(36, 111)(37, 143)(38, 144)(39, 109)(40, 110)(41, 118)(42, 117)(43, 113)(44, 125)(45, 124)(46, 127)(47, 131)(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, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E26.508
Graph:: simple bipartite
	v = 28 e = 96 f = 18
	degree seq :: [ 4^24, 24^4 ]

E26.511 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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^-1, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y3)^2, (Y2 * Y1)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y2^-2 * Y1^2 * Y2^2, (Y3^-1 * Y1^-1)^4, Y1^8, Y1^-1 * Y2^-1 * Y1^2 * Y2^-5 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 14, 62, 26, 74, 24, 72, 12, 60, 4, 52)(3, 51, 9, 57, 19, 67, 33, 81, 41, 89, 28, 76, 15, 63, 8, 56)(5, 53, 11, 59, 22, 70, 37, 85, 42, 90, 27, 75, 16, 64, 7, 55)(10, 58, 18, 66, 29, 77, 44, 92, 40, 88, 47, 95, 34, 82, 20, 68)(13, 61, 17, 65, 30, 78, 43, 91, 36, 84, 48, 96, 38, 86, 23, 71)(21, 69, 35, 83, 46, 94, 31, 79, 25, 73, 39, 87, 45, 93, 32, 80)(97, 145, 99, 147, 106, 154, 117, 165, 132, 180, 138, 186, 122, 170, 137, 185, 136, 184, 121, 169, 109, 157, 101, 149)(98, 146, 103, 151, 113, 161, 127, 175, 143, 191, 129, 177, 120, 168, 133, 181, 144, 192, 128, 176, 114, 162, 104, 152)(100, 148, 107, 155, 119, 167, 135, 183, 140, 188, 124, 172, 110, 158, 123, 171, 139, 187, 131, 179, 116, 164, 105, 153)(102, 150, 111, 159, 125, 173, 141, 189, 134, 182, 118, 166, 108, 156, 115, 163, 130, 178, 142, 190, 126, 174, 112, 160)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 107)(6, 110)(7, 101)(8, 99)(9, 115)(10, 114)(11, 118)(12, 100)(13, 113)(14, 122)(15, 104)(16, 103)(17, 126)(18, 125)(19, 129)(20, 106)(21, 131)(22, 133)(23, 109)(24, 108)(25, 135)(26, 120)(27, 112)(28, 111)(29, 140)(30, 139)(31, 121)(32, 117)(33, 137)(34, 116)(35, 142)(36, 144)(37, 138)(38, 119)(39, 141)(40, 143)(41, 124)(42, 123)(43, 132)(44, 136)(45, 128)(46, 127)(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) :: { ( 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 E26.506
Graph:: bipartite
	v = 10 e = 96 f = 36
	degree seq :: [ 16^6, 24^4 ]

E26.512 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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^-1 * Y3^-1 * Y1^-2, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y2 * Y1^-1)^2, Y3^-3 * Y1^-1, (Y3 * Y2^-1)^2, (Y1^-1 * Y2^-1)^2, Y1^-1 * Y3^2 * Y1^-1, (Y3^-1 * Y2^-1)^2, (R * Y1)^2, Y2 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, (R * Y1 * Y2)^2, Y3 * Y2^6 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 7, 55, 12, 60, 4, 52, 10, 58, 5, 53)(3, 51, 13, 61, 26, 74, 16, 64, 27, 75, 15, 63, 21, 69, 11, 59)(6, 54, 18, 66, 25, 73, 17, 65, 24, 72, 19, 67, 22, 70, 9, 57)(14, 62, 28, 76, 37, 85, 32, 80, 43, 91, 31, 79, 42, 90, 29, 77)(20, 68, 23, 71, 38, 86, 35, 83, 41, 89, 33, 81, 40, 88, 34, 82)(30, 78, 45, 93, 48, 96, 39, 87, 36, 84, 46, 94, 47, 95, 44, 92)(97, 145, 99, 147, 110, 158, 126, 174, 137, 185, 120, 168, 108, 156, 123, 171, 139, 187, 132, 180, 116, 164, 102, 150)(98, 146, 105, 153, 119, 167, 135, 183, 127, 175, 112, 160, 100, 148, 113, 161, 129, 177, 140, 188, 124, 172, 107, 155)(101, 149, 114, 162, 130, 178, 142, 190, 128, 176, 111, 159, 103, 151, 115, 163, 131, 179, 141, 189, 125, 173, 109, 157)(104, 152, 117, 165, 133, 181, 143, 191, 136, 184, 121, 169, 106, 154, 122, 170, 138, 186, 144, 192, 134, 182, 118, 166)
	L = (1, 100)(2, 106)(3, 111)(4, 104)(5, 108)(6, 115)(7, 97)(8, 101)(9, 120)(10, 103)(11, 123)(12, 98)(13, 117)(14, 127)(15, 122)(16, 99)(17, 102)(18, 118)(19, 121)(20, 129)(21, 112)(22, 113)(23, 136)(24, 114)(25, 105)(26, 107)(27, 109)(28, 138)(29, 139)(30, 142)(31, 133)(32, 110)(33, 134)(34, 137)(35, 116)(36, 141)(37, 125)(38, 130)(39, 126)(40, 131)(41, 119)(42, 128)(43, 124)(44, 132)(45, 143)(46, 144)(47, 135)(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, 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 E26.505
Graph:: bipartite
	v = 10 e = 96 f = 36
	degree seq :: [ 16^6, 24^4 ]

E26.513 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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 * Y2, (R * Y1)^2, R * Y2 * R * Y3^-1, (Y2^2 * Y1)^2, Y3 * Y1 * Y2^-2 * Y1 * Y2^-1, (Y3 * Y2^-1)^4, Y2^8, Y3 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y1, Y3 * Y1 * Y2^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y1, (Y3^-1 * Y1)^12 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 9, 57)(5, 53, 11, 59)(6, 54, 13, 61)(8, 56, 14, 62)(10, 58, 12, 60)(15, 63, 25, 73)(16, 64, 26, 74)(17, 65, 27, 75)(18, 66, 29, 77)(19, 67, 30, 78)(20, 68, 31, 79)(21, 69, 32, 80)(22, 70, 33, 81)(23, 71, 35, 83)(24, 72, 36, 84)(28, 76, 34, 82)(37, 85, 44, 92)(38, 86, 46, 94)(39, 87, 42, 90)(40, 88, 47, 95)(41, 89, 43, 91)(45, 93, 48, 96)(97, 145, 99, 147, 104, 152, 113, 161, 124, 172, 115, 163, 106, 154, 100, 148)(98, 146, 101, 149, 108, 156, 118, 166, 130, 178, 120, 168, 110, 158, 102, 150)(103, 151, 111, 159, 105, 153, 114, 162, 126, 174, 136, 184, 123, 171, 112, 160)(107, 155, 116, 164, 109, 157, 119, 167, 132, 180, 141, 189, 129, 177, 117, 165)(121, 169, 133, 181, 122, 170, 135, 183, 143, 191, 137, 185, 125, 173, 134, 182)(127, 175, 138, 186, 128, 176, 140, 188, 144, 192, 142, 190, 131, 179, 139, 187)
	L = (1, 100)(2, 102)(3, 97)(4, 106)(5, 98)(6, 110)(7, 112)(8, 99)(9, 111)(10, 115)(11, 117)(12, 101)(13, 116)(14, 120)(15, 103)(16, 123)(17, 104)(18, 105)(19, 124)(20, 107)(21, 129)(22, 108)(23, 109)(24, 130)(25, 134)(26, 133)(27, 136)(28, 113)(29, 137)(30, 114)(31, 139)(32, 138)(33, 141)(34, 118)(35, 142)(36, 119)(37, 121)(38, 125)(39, 122)(40, 126)(41, 143)(42, 127)(43, 131)(44, 128)(45, 132)(46, 144)(47, 135)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.517
Graph:: bipartite
	v = 30 e = 96 f = 16
	degree seq :: [ 4^24, 16^6 ]

E26.514 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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^-2 * Y2^-1, (Y2^-1 * Y3^-1)^2, Y3 * Y2^-1 * Y3^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y1 * Y3 * Y2^-1 * Y1 * Y2^-1, Y2^-1 * Y1 * Y3^2 * Y1 * Y2^-1, (Y3^-1 * Y1 * Y2^-1)^2, Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 15, 63)(5, 53, 16, 64)(6, 54, 17, 65)(7, 55, 18, 66)(8, 56, 22, 70)(9, 57, 23, 71)(10, 58, 24, 72)(12, 60, 21, 69)(13, 61, 20, 68)(14, 62, 19, 67)(25, 73, 33, 81)(26, 74, 34, 82)(27, 75, 35, 83)(28, 76, 36, 84)(29, 77, 37, 85)(30, 78, 38, 86)(31, 79, 39, 87)(32, 80, 40, 88)(41, 89, 46, 94)(42, 90, 45, 93)(43, 91, 48, 96)(44, 92, 47, 95)(97, 145, 99, 147, 108, 156, 100, 148, 109, 157, 102, 150, 110, 158, 101, 149)(98, 146, 103, 151, 115, 163, 104, 152, 116, 164, 106, 154, 117, 165, 105, 153)(107, 155, 121, 169, 112, 160, 122, 170, 113, 161, 124, 172, 111, 159, 123, 171)(114, 162, 125, 173, 119, 167, 126, 174, 120, 168, 128, 176, 118, 166, 127, 175)(129, 177, 137, 185, 131, 179, 138, 186, 132, 180, 140, 188, 130, 178, 139, 187)(133, 181, 141, 189, 135, 183, 142, 190, 136, 184, 144, 192, 134, 182, 143, 191)
	L = (1, 100)(2, 104)(3, 109)(4, 110)(5, 108)(6, 97)(7, 116)(8, 117)(9, 115)(10, 98)(11, 122)(12, 102)(13, 101)(14, 99)(15, 121)(16, 124)(17, 123)(18, 126)(19, 106)(20, 105)(21, 103)(22, 125)(23, 128)(24, 127)(25, 113)(26, 111)(27, 112)(28, 107)(29, 120)(30, 118)(31, 119)(32, 114)(33, 138)(34, 137)(35, 140)(36, 139)(37, 142)(38, 141)(39, 144)(40, 143)(41, 132)(42, 130)(43, 131)(44, 129)(45, 136)(46, 134)(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) :: { ( 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 E26.518
Graph:: bipartite
	v = 30 e = 96 f = 16
	degree seq :: [ 4^24, 16^6 ]

E26.515 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 12})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (C2 x D24) : C2 (small group id <96, 156>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^2)^2, Y2^-1 * Y3 * Y2 * Y3 * Y2^-2, Y2 * Y1 * Y3 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3)^2, Y3 * Y1 * Y3 * Y2^-1 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 12, 60)(5, 53, 15, 63)(6, 54, 18, 66)(7, 55, 21, 69)(8, 56, 24, 72)(10, 58, 26, 74)(11, 59, 25, 73)(13, 61, 23, 71)(14, 62, 22, 70)(16, 64, 20, 68)(17, 65, 19, 67)(27, 75, 41, 89)(28, 76, 40, 88)(29, 77, 44, 92)(30, 78, 45, 93)(31, 79, 37, 85)(32, 80, 36, 84)(33, 81, 43, 91)(34, 82, 42, 90)(35, 83, 38, 86)(39, 87, 47, 95)(46, 94, 48, 96)(97, 145, 99, 147, 106, 154, 125, 173, 142, 190, 130, 178, 113, 161, 101, 149)(98, 146, 102, 150, 115, 163, 134, 182, 144, 192, 139, 187, 122, 170, 104, 152)(100, 148, 109, 157, 128, 176, 107, 155, 127, 175, 112, 160, 126, 174, 110, 158)(103, 151, 118, 166, 137, 185, 116, 164, 136, 184, 121, 169, 135, 183, 119, 167)(105, 153, 123, 171, 111, 159, 117, 165, 138, 186, 143, 191, 140, 188, 124, 172)(108, 156, 129, 177, 141, 189, 131, 179, 133, 181, 114, 162, 132, 180, 120, 168)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 112)(6, 116)(7, 98)(8, 121)(9, 114)(10, 126)(11, 99)(12, 123)(13, 125)(14, 130)(15, 131)(16, 101)(17, 128)(18, 105)(19, 135)(20, 102)(21, 132)(22, 134)(23, 139)(24, 140)(25, 104)(26, 137)(27, 108)(28, 141)(29, 109)(30, 106)(31, 142)(32, 113)(33, 138)(34, 110)(35, 111)(36, 117)(37, 143)(38, 118)(39, 115)(40, 144)(41, 122)(42, 129)(43, 119)(44, 120)(45, 124)(46, 127)(47, 133)(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, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E26.520
Graph:: simple bipartite
	v = 30 e = 96 f = 16
	degree seq :: [ 4^24, 16^6 ]

E26.516 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 12})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (C2 x D24) : C2 (small group id <96, 156>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y3 * Y2^-1)^2, Y2^-1 * Y3 * Y2 * Y3 * Y2^-2, Y3 * Y1 * Y3 * Y2^-1 * Y1 * Y2^-1, Y2 * Y1 * Y2^-1 * Y1 * Y3 * Y1, (R * Y2 * Y3)^2, (Y2 * R * Y2^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 12, 60)(5, 53, 15, 63)(6, 54, 18, 66)(7, 55, 21, 69)(8, 56, 24, 72)(10, 58, 26, 74)(11, 59, 25, 73)(13, 61, 23, 71)(14, 62, 22, 70)(16, 64, 20, 68)(17, 65, 19, 67)(27, 75, 39, 87)(28, 76, 43, 91)(29, 77, 42, 90)(30, 78, 36, 84)(31, 79, 44, 92)(32, 80, 45, 93)(33, 81, 38, 86)(34, 82, 37, 85)(35, 83, 40, 88)(41, 89, 47, 95)(46, 94, 48, 96)(97, 145, 99, 147, 106, 154, 125, 173, 142, 190, 130, 178, 113, 161, 101, 149)(98, 146, 102, 150, 115, 163, 134, 182, 144, 192, 139, 187, 122, 170, 104, 152)(100, 148, 109, 157, 128, 176, 107, 155, 127, 175, 112, 160, 126, 174, 110, 158)(103, 151, 118, 166, 137, 185, 116, 164, 136, 184, 121, 169, 135, 183, 119, 167)(105, 153, 123, 171, 111, 159, 131, 179, 133, 181, 143, 191, 138, 186, 117, 165)(108, 156, 114, 162, 132, 180, 120, 168, 140, 188, 124, 172, 141, 189, 129, 177)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 112)(6, 116)(7, 98)(8, 121)(9, 124)(10, 126)(11, 99)(12, 123)(13, 125)(14, 130)(15, 120)(16, 101)(17, 128)(18, 133)(19, 135)(20, 102)(21, 132)(22, 134)(23, 139)(24, 111)(25, 104)(26, 137)(27, 108)(28, 105)(29, 109)(30, 106)(31, 142)(32, 113)(33, 138)(34, 110)(35, 141)(36, 117)(37, 114)(38, 118)(39, 115)(40, 144)(41, 122)(42, 129)(43, 119)(44, 143)(45, 131)(46, 127)(47, 140)(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, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E26.519
Graph:: simple bipartite
	v = 30 e = 96 f = 16
	degree seq :: [ 4^24, 16^6 ]

E26.517 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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, (R * Y3)^2, Y1^4, (Y1 * Y3)^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1, (R * Y1)^2, R * Y2 * Y1 * R * Y2^-1, Y3 * Y1^-1 * Y2 * Y3 * Y2, Y1^-1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-2 * Y1^-1 * Y2^-3, Y2 * Y1^-1 * Y2^2 * Y3 * Y2^-3 * Y3 ]
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, 32, 80, 16, 64)(15, 63, 18, 66, 25, 73, 31, 79)(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, 129, 177, 143, 191, 136, 184, 120, 168, 117, 165, 121, 169, 137, 185, 141, 189, 125, 173, 112, 160)(105, 153, 114, 162, 131, 179, 144, 192, 139, 187, 128, 176, 110, 158, 127, 175, 142, 190, 140, 188, 126, 174, 109, 157)
	L = (1, 100)(2, 105)(3, 109)(4, 97)(5, 110)(6, 114)(7, 117)(8, 120)(9, 98)(10, 121)(11, 112)(12, 125)(13, 99)(14, 101)(15, 113)(16, 107)(17, 111)(18, 102)(19, 129)(20, 128)(21, 103)(22, 127)(23, 126)(24, 104)(25, 106)(26, 131)(27, 139)(28, 140)(29, 108)(30, 119)(31, 118)(32, 116)(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, 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 E26.513
Graph:: bipartite
	v = 16 e = 96 f = 30
	degree seq :: [ 8^12, 24^4 ]

E26.518 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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 :: [ Y3^2, R^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1, (Y1^-1 * Y3)^2, (R * Y3)^2, Y1^4, (R * Y1)^2, Y1^-1 * Y3 * Y2 * Y3 * Y2, R * Y2 * R * Y1 * Y2^-1, Y2^5 * Y1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2 * Y3 * Y2^-3 * Y3 * Y2 ]
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, 16, 64, 25, 73, 28, 76)(15, 63, 24, 72, 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, 128, 176, 142, 190, 139, 187, 124, 172, 117, 165, 129, 177, 143, 191, 141, 189, 126, 174, 112, 160)(105, 153, 120, 168, 137, 185, 140, 188, 127, 175, 109, 157, 110, 158, 114, 162, 131, 179, 144, 192, 136, 184, 121, 169)
	L = (1, 100)(2, 105)(3, 109)(4, 97)(5, 110)(6, 114)(7, 117)(8, 112)(9, 98)(10, 111)(11, 124)(12, 126)(13, 99)(14, 101)(15, 106)(16, 104)(17, 129)(18, 102)(19, 128)(20, 121)(21, 103)(22, 120)(23, 136)(24, 118)(25, 116)(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, 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 E26.514
Graph:: bipartite
	v = 16 e = 96 f = 30
	degree seq :: [ 8^12, 24^4 ]

E26.519 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 12})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (C2 x D24) : C2 (small group id <96, 156>)
|r| :: 2
Presentation :: [ R^2, Y1^4, (Y3 * Y1^-1)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y2 * Y3^-1 * Y2^-2 * Y3^-1, Y2^3 * Y3^-2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y1^-1, Y1^-2 * Y3^-4, (Y2 * Y1 * Y3^-1)^2, Y2^-1 * R * Y2 * R * Y1^2, Y2 * Y3^-1 * Y2 * Y3 * Y1^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 29, 77, 9, 57)(4, 52, 17, 65, 30, 78, 12, 60)(6, 54, 22, 70, 31, 79, 11, 59)(7, 55, 21, 69, 32, 80, 10, 58)(14, 62, 33, 81, 47, 95, 45, 93)(15, 63, 35, 83, 20, 68, 43, 91)(16, 64, 34, 82, 27, 75, 38, 86)(18, 66, 42, 90, 23, 71, 41, 89)(19, 67, 44, 92, 28, 76, 37, 85)(24, 72, 40, 88, 46, 94, 48, 96)(25, 73, 39, 87, 26, 74, 36, 84)(97, 145, 99, 147, 110, 158, 115, 163, 142, 190, 127, 175, 104, 152, 125, 173, 143, 191, 124, 172, 120, 168, 102, 150)(98, 146, 105, 153, 129, 177, 133, 181, 144, 192, 118, 166, 101, 149, 109, 157, 141, 189, 140, 188, 136, 184, 107, 155)(100, 148, 114, 162, 112, 160, 128, 176, 121, 169, 111, 159, 126, 174, 119, 167, 123, 171, 103, 151, 122, 170, 116, 164)(106, 154, 132, 180, 131, 179, 113, 161, 137, 185, 130, 178, 117, 165, 135, 183, 139, 187, 108, 156, 138, 186, 134, 182)
	L = (1, 100)(2, 106)(3, 111)(4, 115)(5, 117)(6, 119)(7, 97)(8, 126)(9, 130)(10, 133)(11, 135)(12, 98)(13, 134)(14, 122)(15, 142)(16, 99)(17, 101)(18, 143)(19, 128)(20, 120)(21, 140)(22, 132)(23, 110)(24, 112)(25, 102)(26, 127)(27, 125)(28, 103)(29, 116)(30, 124)(31, 114)(32, 104)(33, 138)(34, 144)(35, 105)(36, 141)(37, 113)(38, 136)(39, 129)(40, 131)(41, 107)(42, 118)(43, 109)(44, 108)(45, 137)(46, 123)(47, 121)(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, 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 E26.516
Graph:: bipartite
	v = 16 e = 96 f = 30
	degree seq :: [ 8^12, 24^4 ]

E26.520 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 12})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (C2 x D24) : C2 (small group id <96, 156>)
|r| :: 2
Presentation :: [ R^2, Y1^4, (R * Y1)^2, (Y3 * Y1^-1)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y2^3 * Y3^2, Y3 * Y2^-2 * Y3 * Y2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y2 * Y3^-1 * Y2 * Y3^-3, Y2 * Y3 * Y2 * Y1 * Y3 * Y1^-1, Y3 * R * Y2 * R * Y3^-1 * Y2, (Y2 * Y1 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y2 * Y3 * Y2 * Y1^-1, Y3 * Y1^-1 * Y2^2 * Y1^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 29, 77, 9, 57)(4, 52, 17, 65, 30, 78, 12, 60)(6, 54, 22, 70, 31, 79, 11, 59)(7, 55, 21, 69, 32, 80, 10, 58)(14, 62, 33, 81, 47, 95, 45, 93)(15, 63, 35, 83, 20, 68, 43, 91)(16, 64, 34, 82, 27, 75, 38, 86)(18, 66, 42, 90, 23, 71, 41, 89)(19, 67, 44, 92, 28, 76, 37, 85)(24, 72, 40, 88, 46, 94, 48, 96)(25, 73, 39, 87, 26, 74, 36, 84)(97, 145, 99, 147, 110, 158, 124, 172, 142, 190, 127, 175, 104, 152, 125, 173, 143, 191, 115, 163, 120, 168, 102, 150)(98, 146, 105, 153, 129, 177, 140, 188, 144, 192, 118, 166, 101, 149, 109, 157, 141, 189, 133, 181, 136, 184, 107, 155)(100, 148, 114, 162, 123, 171, 103, 151, 122, 170, 111, 159, 126, 174, 119, 167, 112, 160, 128, 176, 121, 169, 116, 164)(106, 154, 132, 180, 139, 187, 108, 156, 138, 186, 130, 178, 117, 165, 135, 183, 131, 179, 113, 161, 137, 185, 134, 182)
	L = (1, 100)(2, 106)(3, 111)(4, 115)(5, 117)(6, 119)(7, 97)(8, 126)(9, 130)(10, 133)(11, 135)(12, 98)(13, 134)(14, 121)(15, 120)(16, 99)(17, 101)(18, 110)(19, 128)(20, 142)(21, 140)(22, 132)(23, 143)(24, 123)(25, 102)(26, 127)(27, 125)(28, 103)(29, 116)(30, 124)(31, 114)(32, 104)(33, 137)(34, 136)(35, 105)(36, 129)(37, 113)(38, 144)(39, 141)(40, 139)(41, 107)(42, 118)(43, 109)(44, 108)(45, 138)(46, 112)(47, 122)(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, 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 E26.515
Graph:: bipartite
	v = 16 e = 96 f = 30
	degree seq :: [ 8^12, 24^4 ]

E26.521 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 16, 16})
Quotient :: dipole
Aut^+ = C3 : C16 (small group id <48, 1>)
Aut   = (C3 x D16) : C2 (small group id <96, 33>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, (Y3^-1 * Y1^-1)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, Y1 * Y2 * Y1 * Y2^-1, (R * Y1)^2, Y3^-1 * Y2^-1 * Y1 * Y3 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^3 * Y3 * Y2^5 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 11, 59, 8, 56)(4, 52, 9, 57, 7, 55)(6, 54, 16, 64, 10, 58)(12, 60, 19, 67, 23, 71)(13, 61, 20, 68, 14, 62)(15, 63, 17, 65, 21, 69)(18, 66, 22, 70, 28, 76)(24, 72, 35, 83, 31, 79)(25, 73, 32, 80, 26, 74)(27, 75, 33, 81, 29, 77)(30, 78, 40, 88, 34, 82)(36, 84, 43, 91, 47, 95)(37, 85, 44, 92, 38, 86)(39, 87, 41, 89, 45, 93)(42, 90, 46, 94, 48, 96)(97, 145, 99, 147, 108, 156, 120, 168, 132, 180, 141, 189, 129, 177, 117, 165, 105, 153, 116, 164, 128, 176, 140, 188, 138, 186, 126, 174, 114, 162, 102, 150)(98, 146, 104, 152, 115, 163, 127, 175, 139, 187, 137, 185, 125, 173, 113, 161, 103, 151, 109, 157, 122, 170, 133, 181, 142, 190, 130, 178, 118, 166, 106, 154)(100, 148, 110, 158, 121, 169, 134, 182, 144, 192, 136, 184, 124, 172, 112, 160, 101, 149, 107, 155, 119, 167, 131, 179, 143, 191, 135, 183, 123, 171, 111, 159)
	L = (1, 100)(2, 105)(3, 109)(4, 98)(5, 103)(6, 113)(7, 97)(8, 110)(9, 101)(10, 111)(11, 116)(12, 121)(13, 107)(14, 99)(15, 102)(16, 117)(17, 112)(18, 123)(19, 128)(20, 104)(21, 106)(22, 129)(23, 122)(24, 133)(25, 115)(26, 108)(27, 118)(28, 125)(29, 114)(30, 137)(31, 134)(32, 119)(33, 124)(34, 135)(35, 140)(36, 144)(37, 131)(38, 120)(39, 126)(40, 141)(41, 136)(42, 143)(43, 138)(44, 127)(45, 130)(46, 132)(47, 142)(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, 32, 4, 32, 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 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 E26.522
Graph:: bipartite
	v = 19 e = 96 f = 27
	degree seq :: [ 6^16, 32^3 ]

E26.522 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 16, 16})
Quotient :: dipole
Aut^+ = C3 : C16 (small group id <48, 1>)
Aut   = (C3 x D16) : C2 (small group id <96, 33>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^3 * Y2, Y3^-1 * Y1^-1 * Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y2 * Y3^-1 * Y2, Y2 * Y1 * Y2 * Y1^-1, Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1 * Y2, Y1^2 * Y2 * Y1^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 17, 65, 29, 77, 37, 85, 25, 73, 12, 60, 3, 51, 8, 56, 18, 66, 30, 78, 40, 88, 28, 76, 16, 64, 5, 53)(4, 52, 10, 58, 19, 67, 32, 80, 41, 89, 45, 93, 35, 83, 23, 71, 11, 59, 22, 70, 33, 81, 44, 92, 47, 95, 38, 86, 26, 74, 14, 62)(6, 54, 9, 57, 20, 68, 31, 79, 42, 90, 46, 94, 36, 84, 24, 72, 13, 61, 21, 69, 34, 82, 43, 91, 48, 96, 39, 87, 27, 75, 15, 63)(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, 136, 184)(127, 175, 139, 187)(128, 176, 140, 188)(134, 182, 141, 189)(135, 183, 142, 190)(137, 185, 143, 191)(138, 186, 144, 192)
	L = (1, 100)(2, 105)(3, 107)(4, 109)(5, 111)(6, 97)(7, 115)(8, 117)(9, 118)(10, 98)(11, 102)(12, 120)(13, 99)(14, 101)(15, 119)(16, 122)(17, 127)(18, 129)(19, 130)(20, 103)(21, 106)(22, 104)(23, 108)(24, 110)(25, 131)(26, 132)(27, 112)(28, 135)(29, 137)(30, 139)(31, 140)(32, 113)(33, 116)(34, 114)(35, 123)(36, 121)(37, 142)(38, 124)(39, 141)(40, 143)(41, 144)(42, 125)(43, 128)(44, 126)(45, 133)(46, 134)(47, 138)(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, 32, 6, 32 ), ( 6, 32, 6, 32, 6, 32, 6, 32, 6, 32, 6, 32, 6, 32, 6, 32, 6, 32, 6, 32, 6, 32, 6, 32, 6, 32, 6, 32, 6, 32, 6, 32 ) }
Outer automorphisms :: reflexible
Dual of E26.521
Graph:: bipartite
	v = 27 e = 96 f = 19
	degree seq :: [ 4^24, 32^3 ]

E26.523 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 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 * Y2^-1 * Y1^-1 * Y2^-1, (R * Y3)^2, (R * Y2)^2, (Y1^-1 * Y3)^2, (Y3^-1 * Y1^-1)^2, (Y3^-1, Y2^-1), (R * Y1)^2, Y2^3 * Y1^-2, Y2^3 * Y1^2, Y2^-1 * Y1 * Y2 * Y1 * Y2^-1, Y1^-1 * Y3^-4 * Y1^-1, Y2^6, Y1^-2 * Y3 * Y2^-3 * Y3^-1, Y1^-1 * Y3^-1 * Y2 * Y1^2 * Y3 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 11, 59, 22, 70, 15, 63)(4, 52, 17, 65, 25, 73, 12, 60)(6, 54, 9, 57, 13, 61, 20, 68)(7, 55, 21, 69, 26, 74, 10, 58)(14, 62, 35, 83, 41, 89, 31, 79)(16, 64, 37, 85, 43, 91, 30, 78)(18, 66, 32, 80, 24, 72, 29, 77)(19, 67, 39, 87, 33, 81, 28, 76)(23, 71, 42, 90, 34, 82, 27, 75)(36, 84, 48, 96, 38, 86, 47, 95)(40, 88, 46, 94, 44, 92, 45, 93)(97, 145, 99, 147, 109, 157, 104, 152, 118, 166, 102, 150)(98, 146, 105, 153, 111, 159, 101, 149, 116, 164, 107, 155)(100, 148, 110, 158, 129, 177, 121, 169, 137, 185, 115, 163)(103, 151, 112, 160, 130, 178, 122, 170, 139, 187, 119, 167)(106, 154, 123, 171, 133, 181, 117, 165, 138, 186, 126, 174)(108, 156, 124, 172, 131, 179, 113, 161, 135, 183, 127, 175)(114, 162, 132, 180, 140, 188, 120, 168, 134, 182, 136, 184)(125, 173, 141, 189, 144, 192, 128, 176, 142, 190, 143, 191)
	L = (1, 100)(2, 106)(3, 110)(4, 114)(5, 117)(6, 115)(7, 97)(8, 121)(9, 123)(10, 125)(11, 126)(12, 98)(13, 129)(14, 132)(15, 133)(16, 99)(17, 101)(18, 122)(19, 136)(20, 138)(21, 128)(22, 137)(23, 102)(24, 103)(25, 120)(26, 104)(27, 141)(28, 105)(29, 113)(30, 143)(31, 107)(32, 108)(33, 140)(34, 109)(35, 111)(36, 139)(37, 144)(38, 112)(39, 116)(40, 130)(41, 134)(42, 142)(43, 118)(44, 119)(45, 135)(46, 124)(47, 131)(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, 48, 4, 48, 4, 48, 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E26.525
Graph:: bipartite
	v = 20 e = 96 f = 26
	degree seq :: [ 8^12, 12^8 ]

E26.524 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 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 * Y1 * Y2 * Y1^-1, (R * Y2)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (Y3^-1, Y2^-1), Y1^4, Y2^-1 * Y3^-4, Y1^-2 * Y2^3, Y1 * Y3^-1 * Y2 * Y3^-2 * Y2 * Y3^-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 * Y1^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 11, 59, 22, 70, 15, 63)(4, 52, 17, 65, 25, 73, 12, 60)(6, 54, 9, 57, 13, 61, 20, 68)(7, 55, 21, 69, 26, 74, 10, 58)(14, 62, 35, 83, 41, 89, 31, 79)(16, 64, 36, 84, 44, 92, 30, 78)(18, 66, 32, 80, 45, 93, 39, 87)(19, 67, 38, 86, 33, 81, 28, 76)(23, 71, 42, 90, 34, 82, 27, 75)(24, 72, 29, 77, 46, 94, 43, 91)(37, 85, 48, 96, 40, 88, 47, 95)(97, 145, 99, 147, 109, 157, 104, 152, 118, 166, 102, 150)(98, 146, 105, 153, 111, 159, 101, 149, 116, 164, 107, 155)(100, 148, 110, 158, 129, 177, 121, 169, 137, 185, 115, 163)(103, 151, 112, 160, 130, 178, 122, 170, 140, 188, 119, 167)(106, 154, 123, 171, 132, 180, 117, 165, 138, 186, 126, 174)(108, 156, 124, 172, 131, 179, 113, 161, 134, 182, 127, 175)(114, 162, 120, 168, 133, 181, 141, 189, 142, 190, 136, 184)(125, 173, 128, 176, 143, 191, 139, 187, 135, 183, 144, 192)
	L = (1, 100)(2, 106)(3, 110)(4, 114)(5, 117)(6, 115)(7, 97)(8, 121)(9, 123)(10, 125)(11, 126)(12, 98)(13, 129)(14, 120)(15, 132)(16, 99)(17, 101)(18, 119)(19, 136)(20, 138)(21, 139)(22, 137)(23, 102)(24, 103)(25, 141)(26, 104)(27, 128)(28, 105)(29, 127)(30, 144)(31, 107)(32, 108)(33, 133)(34, 109)(35, 111)(36, 143)(37, 112)(38, 116)(39, 113)(40, 140)(41, 142)(42, 135)(43, 131)(44, 118)(45, 130)(46, 122)(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) :: { ( 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 E26.526
Graph:: bipartite
	v = 20 e = 96 f = 26
	degree seq :: [ 8^12, 12^8 ]

E26.525 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 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^-1), Y3 * Y1^-3, (R * Y1)^2, (R * Y3)^2, (Y2 * Y3 * Y1^-1)^2, (Y2 * Y3^2)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^3 * Y2, (Y1 * Y3 * Y2)^2, Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y1^-1, (Y2 * Y1^-1)^4, (Y1^-1 * Y3^-1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 4, 52, 9, 57, 22, 70, 16, 64, 28, 76, 42, 90, 33, 81, 44, 92, 31, 79, 43, 91, 35, 83, 46, 94, 36, 84, 47, 95, 39, 87, 20, 68, 30, 78, 18, 66, 6, 54, 10, 58, 5, 53)(3, 51, 11, 59, 29, 77, 12, 60, 32, 80, 48, 96, 34, 82, 41, 89, 26, 74, 15, 63, 25, 73, 8, 56, 23, 71, 17, 65, 24, 72, 19, 67, 38, 86, 45, 93, 37, 85, 40, 88, 27, 75, 14, 62, 21, 69, 13, 61)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 111, 159)(101, 149, 113, 161)(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)(114, 162, 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, 103)(6, 97)(7, 118)(8, 120)(9, 124)(10, 98)(11, 128)(12, 130)(13, 125)(14, 99)(15, 119)(16, 129)(17, 134)(18, 101)(19, 133)(20, 102)(21, 107)(22, 138)(23, 115)(24, 141)(25, 113)(26, 104)(27, 109)(28, 140)(29, 144)(30, 106)(31, 142)(32, 137)(33, 139)(34, 111)(35, 143)(36, 116)(37, 110)(38, 136)(39, 114)(40, 117)(41, 121)(42, 127)(43, 132)(44, 131)(45, 123)(46, 135)(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, 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 E26.523
Graph:: bipartite
	v = 26 e = 96 f = 20
	degree seq :: [ 4^24, 48^2 ]

E26.526 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 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), (R * Y3)^2, (R * Y1)^2, Y1^-3 * Y3^-1 * Y1^-2, Y1^-2 * R * Y2 * R * Y2, Y2 * Y3^-2 * Y1 * Y2 * Y1^-1, Y3^-1 * Y2 * Y3^-1 * Y1^-1 * Y2 * Y1^-1, Y2 * Y3^-1 * Y2 * Y1^-1 * Y3 * Y1^-1, Y3^-3 * Y1^-1 * Y3^-2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 23, 71, 20, 68, 6, 54, 10, 58, 26, 74, 43, 91, 40, 88, 22, 70, 34, 82, 48, 96, 39, 87, 16, 64, 32, 80, 47, 95, 37, 85, 17, 65, 4, 52, 9, 57, 25, 73, 19, 67, 5, 53)(3, 51, 11, 59, 35, 83, 45, 93, 31, 79, 14, 62, 28, 76, 21, 69, 41, 89, 42, 90, 29, 77, 8, 56, 27, 75, 18, 66, 38, 86, 46, 94, 30, 78, 15, 63, 33, 81, 12, 60, 36, 84, 44, 92, 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, 130, 178)(108, 156, 133, 181)(109, 157, 135, 183)(110, 158, 122, 170)(112, 160, 125, 173)(113, 161, 124, 172)(115, 163, 131, 179)(116, 164, 132, 180)(118, 166, 134, 182)(119, 167, 138, 186)(121, 169, 142, 190)(123, 171, 144, 192)(126, 174, 139, 187)(128, 176, 140, 188)(136, 184, 141, 189)(137, 185, 143, 191)
	L = (1, 100)(2, 105)(3, 108)(4, 112)(5, 113)(6, 97)(7, 121)(8, 124)(9, 128)(10, 98)(11, 132)(12, 134)(13, 129)(14, 99)(15, 123)(16, 136)(17, 135)(18, 137)(19, 133)(20, 101)(21, 131)(22, 102)(23, 115)(24, 111)(25, 143)(26, 103)(27, 117)(28, 107)(29, 110)(30, 104)(31, 109)(32, 118)(33, 114)(34, 106)(35, 140)(36, 142)(37, 144)(38, 138)(39, 139)(40, 116)(41, 141)(42, 127)(43, 119)(44, 126)(45, 120)(46, 125)(47, 130)(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, 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 E26.524
Graph:: bipartite
	v = 26 e = 96 f = 20
	degree seq :: [ 4^24, 48^2 ]

E26.527 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 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, (Y2 * Y1)^2, R * Y2 * R * Y2^-1, (R * Y3)^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y1)^2, Y3 * Y2^-2 * Y3 * Y2, (Y1 * Y3^-2)^2, Y2^-1 * Y3 * Y1 * Y2^-2 * Y1 * Y3, Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y1 * Y3 * Y2 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y3 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y3 * Y2 * 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, 23, 71)(10, 58, 28, 76)(11, 59, 26, 74)(12, 60, 29, 77)(13, 61, 30, 78)(15, 63, 32, 80)(16, 64, 25, 73)(17, 65, 20, 68)(18, 66, 34, 82)(21, 69, 35, 83)(22, 70, 36, 84)(24, 72, 38, 86)(27, 75, 40, 88)(31, 79, 43, 91)(33, 81, 46, 94)(37, 85, 41, 89)(39, 87, 42, 90)(44, 92, 48, 96)(45, 93, 47, 95)(97, 145, 99, 147, 107, 155, 112, 160, 113, 161, 101, 149)(98, 146, 103, 151, 116, 164, 121, 169, 122, 170, 105, 153)(100, 148, 111, 159, 109, 157, 102, 150, 114, 162, 108, 156)(104, 152, 120, 168, 118, 166, 106, 154, 123, 171, 117, 165)(110, 158, 125, 173, 130, 178, 115, 163, 126, 174, 128, 176)(119, 167, 131, 179, 136, 184, 124, 172, 132, 180, 134, 182)(127, 175, 140, 188, 138, 186, 129, 177, 141, 189, 137, 185)(133, 181, 143, 191, 142, 190, 135, 183, 144, 192, 139, 187)
	L = (1, 100)(2, 104)(3, 108)(4, 112)(5, 111)(6, 97)(7, 117)(8, 121)(9, 120)(10, 98)(11, 114)(12, 113)(13, 99)(14, 127)(15, 107)(16, 102)(17, 109)(18, 101)(19, 129)(20, 123)(21, 122)(22, 103)(23, 133)(24, 116)(25, 106)(26, 118)(27, 105)(28, 135)(29, 137)(30, 138)(31, 115)(32, 140)(33, 110)(34, 141)(35, 139)(36, 142)(37, 124)(38, 143)(39, 119)(40, 144)(41, 126)(42, 125)(43, 132)(44, 130)(45, 128)(46, 131)(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) :: { ( 8, 48, 8, 48 ), ( 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E26.529
Graph:: simple bipartite
	v = 32 e = 96 f = 14
	degree seq :: [ 4^24, 12^8 ]

E26.528 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 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 * Y3)^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (Y2 * Y1)^2, (R * Y1)^2, R * Y2 * R * Y2^-1, Y2^-3 * Y3^-2, Y2^2 * Y3^-1 * Y2^-1 * Y3^-1, Y2 * Y3^-2 * Y2^-1 * Y3^-2, (Y1 * Y3^2)^2, Y1 * Y3 * Y2 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1, Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y1, Y3^2 * Y2^-1 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3 * Y2^-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, 23, 71)(10, 58, 28, 76)(11, 59, 26, 74)(12, 60, 29, 77)(13, 61, 30, 78)(15, 63, 32, 80)(16, 64, 25, 73)(17, 65, 20, 68)(18, 66, 34, 82)(21, 69, 35, 83)(22, 70, 36, 84)(24, 72, 38, 86)(27, 75, 40, 88)(31, 79, 43, 91)(33, 81, 46, 94)(37, 85, 44, 92)(39, 87, 45, 93)(41, 89, 48, 96)(42, 90, 47, 95)(97, 145, 99, 147, 107, 155, 112, 160, 113, 161, 101, 149)(98, 146, 103, 151, 116, 164, 121, 169, 122, 170, 105, 153)(100, 148, 111, 159, 109, 157, 102, 150, 114, 162, 108, 156)(104, 152, 120, 168, 118, 166, 106, 154, 123, 171, 117, 165)(110, 158, 125, 173, 130, 178, 115, 163, 126, 174, 128, 176)(119, 167, 131, 179, 136, 184, 124, 172, 132, 180, 134, 182)(127, 175, 140, 188, 138, 186, 129, 177, 141, 189, 137, 185)(133, 181, 139, 187, 144, 192, 135, 183, 142, 190, 143, 191)
	L = (1, 100)(2, 104)(3, 108)(4, 112)(5, 111)(6, 97)(7, 117)(8, 121)(9, 120)(10, 98)(11, 114)(12, 113)(13, 99)(14, 127)(15, 107)(16, 102)(17, 109)(18, 101)(19, 129)(20, 123)(21, 122)(22, 103)(23, 133)(24, 116)(25, 106)(26, 118)(27, 105)(28, 135)(29, 137)(30, 138)(31, 115)(32, 140)(33, 110)(34, 141)(35, 143)(36, 144)(37, 124)(38, 139)(39, 119)(40, 142)(41, 126)(42, 125)(43, 136)(44, 130)(45, 128)(46, 134)(47, 132)(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, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E26.530
Graph:: simple bipartite
	v = 32 e = 96 f = 14
	degree seq :: [ 4^24, 12^8 ]

E26.529 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 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), (Y1 * Y3^-1)^2, Y2^-2 * Y3^-1 * Y2^-1, (R * Y2)^2, Y1^4, (R * Y1)^2, (Y2 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, Y3^-1 * Y1 * Y3^3 * Y1^-1, Y3 * Y1 * Y2^-2 * Y1^-1 * Y2, (Y3 * Y2^-1)^6 ]
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, 20, 68, 25, 73, 9, 57)(7, 55, 21, 69, 26, 74, 10, 58)(14, 62, 28, 76, 41, 89, 34, 82)(15, 63, 27, 75, 42, 90, 35, 83)(16, 64, 31, 79, 43, 91, 33, 81)(18, 66, 32, 80, 22, 70, 30, 78)(19, 67, 29, 77, 44, 92, 39, 87)(36, 84, 47, 95, 40, 88, 46, 94)(37, 85, 48, 96, 38, 86, 45, 93)(97, 145, 99, 147, 110, 158, 103, 151, 112, 160, 132, 180, 118, 166, 134, 182, 140, 188, 120, 168, 138, 186, 121, 169, 104, 152, 119, 167, 137, 185, 122, 170, 139, 187, 136, 184, 114, 162, 133, 181, 115, 163, 100, 148, 111, 159, 102, 150)(98, 146, 105, 153, 123, 171, 108, 156, 125, 173, 141, 189, 128, 176, 143, 191, 129, 177, 117, 165, 130, 178, 109, 157, 101, 149, 116, 164, 131, 179, 113, 161, 135, 183, 144, 192, 126, 174, 142, 190, 127, 175, 106, 154, 124, 172, 107, 155)
	L = (1, 100)(2, 106)(3, 111)(4, 114)(5, 117)(6, 115)(7, 97)(8, 120)(9, 124)(10, 126)(11, 127)(12, 98)(13, 129)(14, 102)(15, 133)(16, 99)(17, 101)(18, 122)(19, 136)(20, 130)(21, 128)(22, 103)(23, 138)(24, 118)(25, 140)(26, 104)(27, 107)(28, 142)(29, 105)(30, 113)(31, 144)(32, 108)(33, 141)(34, 143)(35, 109)(36, 110)(37, 139)(38, 112)(39, 116)(40, 137)(41, 121)(42, 134)(43, 119)(44, 132)(45, 123)(46, 135)(47, 125)(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, 12, 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 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 E26.527
Graph:: bipartite
	v = 14 e = 96 f = 32
	degree seq :: [ 8^12, 48^2 ]

E26.530 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 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, (R * Y1)^2, (Y2^-1, Y3^-1), (R * Y2)^2, (Y2 * Y1^-1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, Y1^4, (Y3^-1 * Y1)^2, (Y3^-1 * Y1^-1)^2, Y3 * Y1 * Y3^-1 * Y2^-2 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y1^-2, Y1^-1 * Y2^-2 * Y3^-2 * Y1^-1, Y3^3 * Y2^-1 * Y3^2, Y2^-1 * Y3 * Y2^-4, (Y2^3 * Y3)^3 ]
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, 24, 72, 32, 80)(15, 63, 35, 83, 23, 71, 30, 78)(16, 64, 33, 81, 43, 91, 37, 85)(18, 66, 36, 84, 22, 70, 29, 77)(19, 67, 31, 79, 44, 92, 41, 89)(38, 86, 48, 96, 40, 88, 46, 94)(39, 87, 47, 95, 42, 90, 45, 93)(97, 145, 99, 147, 110, 158, 134, 182, 115, 163, 100, 148, 111, 159, 124, 172, 139, 187, 138, 186, 114, 162, 123, 171, 104, 152, 121, 169, 120, 168, 136, 184, 140, 188, 122, 170, 119, 167, 103, 151, 112, 160, 135, 183, 118, 166, 102, 150)(98, 146, 105, 153, 125, 173, 141, 189, 129, 177, 106, 154, 126, 174, 113, 161, 137, 185, 144, 192, 128, 176, 109, 157, 101, 149, 116, 164, 132, 180, 143, 191, 133, 181, 117, 165, 131, 179, 108, 156, 127, 175, 142, 190, 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, 133)(14, 124)(15, 123)(16, 99)(17, 101)(18, 136)(19, 138)(20, 131)(21, 130)(22, 134)(23, 102)(24, 103)(25, 119)(26, 118)(27, 140)(28, 104)(29, 113)(30, 109)(31, 105)(32, 143)(33, 144)(34, 141)(35, 107)(36, 108)(37, 142)(38, 139)(39, 110)(40, 112)(41, 116)(42, 120)(43, 121)(44, 135)(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) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 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 E26.528
Graph:: bipartite
	v = 14 e = 96 f = 32
	degree seq :: [ 8^12, 48^2 ]

E26.531 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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, Y2^-1 * Y3 * Y2^-1 * Y3^-1, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y2^4, (Y2^-1 * Y1)^2, Y1 * Y3 * Y1 * Y2 * Y3^-1, Y3^6, Y1 * Y2^-1 * Y3^-1 * Y2 * Y1 * Y3 * Y2, Y2^-2 * Y3^2 * Y2^-1 * Y3^-1 * Y2 * Y3^-1, (Y3^-1 * Y2 * Y3^-1)^12 ]
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, 36, 84)(28, 76, 38, 86)(29, 77, 31, 79)(32, 80, 43, 91)(34, 82, 35, 83)(37, 85, 41, 89)(39, 87, 42, 90)(40, 88, 45, 93)(44, 92, 48, 96)(46, 94, 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, 135, 183, 127, 175)(115, 163, 124, 172, 136, 184, 130, 178)(118, 166, 125, 173, 138, 186, 132, 180)(120, 168, 131, 179, 141, 189, 134, 182)(128, 176, 140, 188, 143, 191, 137, 185)(133, 181, 142, 190, 144, 192, 139, 187)
	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, 132)(22, 133)(23, 105)(24, 106)(25, 135)(26, 107)(27, 137)(28, 109)(29, 139)(30, 138)(31, 140)(32, 115)(33, 116)(34, 113)(35, 114)(36, 142)(37, 120)(38, 119)(39, 143)(40, 122)(41, 124)(42, 144)(43, 131)(44, 130)(45, 129)(46, 134)(47, 136)(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, 48, 12, 48 ), ( 12, 48, 12, 48, 12, 48, 12, 48 ) }
Outer automorphisms :: reflexible
Dual of E26.538
Graph:: simple bipartite
	v = 36 e = 96 f = 10
	degree seq :: [ 4^24, 8^12 ]

E26.532 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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, R * Y2 * R * Y2^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y1)^2, Y2^4, Y1 * Y3^-1 * Y1 * Y2^-1 * Y3, Y3^6, 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, 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, 36, 84)(33, 81, 44, 92)(34, 82, 37, 85)(38, 86, 45, 93)(39, 87, 41, 89)(40, 88, 43, 91)(42, 90, 48, 96)(46, 94, 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, 110, 158, 123, 171, 117, 165)(106, 154, 114, 162, 125, 173, 118, 166)(112, 160, 124, 172, 135, 183, 128, 176)(115, 163, 126, 174, 136, 184, 130, 178)(119, 167, 132, 180, 137, 185, 127, 175)(120, 168, 133, 181, 139, 187, 131, 179)(129, 177, 141, 189, 143, 191, 138, 186)(134, 182, 140, 188, 144, 192, 142, 190)
	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, 132)(22, 103)(23, 134)(24, 106)(25, 135)(26, 107)(27, 137)(28, 138)(29, 116)(30, 109)(31, 140)(32, 141)(33, 115)(34, 113)(35, 114)(36, 142)(37, 118)(38, 120)(39, 143)(40, 122)(41, 144)(42, 126)(43, 125)(44, 131)(45, 130)(46, 133)(47, 136)(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, 48, 12, 48 ), ( 12, 48, 12, 48, 12, 48, 12, 48 ) }
Outer automorphisms :: reflexible
Dual of E26.537
Graph:: simple bipartite
	v = 36 e = 96 f = 10
	degree seq :: [ 4^24, 8^12 ]

E26.533 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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 :: [ Y3^2, R^2, (R * Y3)^2, (Y3 * Y1^-1)^2, Y1^4, Y2^-1 * Y1^-1 * Y2 * Y1^-1, (R * Y1)^2, Y1^-1 * Y3 * Y2^-1 * Y3 * Y2, R * Y1 * Y2 * R * Y2, Y2^6, Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^2 ]
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, 36, 84, 27, 75)(13, 61, 15, 63, 24, 72, 28, 76)(16, 64, 25, 73, 33, 81, 18, 66)(19, 67, 26, 74, 37, 85, 34, 82)(29, 77, 41, 89, 46, 94, 38, 86)(30, 78, 31, 79, 42, 90, 39, 87)(32, 80, 35, 83, 45, 93, 40, 88)(43, 91, 44, 92, 47, 95, 48, 96)(97, 145, 99, 147, 108, 156, 125, 173, 115, 163, 102, 150)(98, 146, 104, 152, 119, 167, 134, 182, 122, 170, 106, 154)(100, 148, 111, 159, 126, 174, 140, 188, 128, 176, 112, 160)(101, 149, 107, 155, 123, 171, 137, 185, 130, 178, 113, 161)(103, 151, 116, 164, 132, 180, 142, 190, 133, 181, 118, 166)(105, 153, 120, 168, 135, 183, 143, 191, 136, 184, 121, 169)(109, 157, 127, 175, 139, 187, 131, 179, 114, 162, 110, 158)(117, 165, 124, 172, 138, 186, 144, 192, 141, 189, 129, 177)
	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, 135)(24, 116)(25, 118)(26, 136)(27, 127)(28, 107)(29, 139)(30, 108)(31, 123)(32, 115)(33, 113)(34, 131)(35, 130)(36, 138)(37, 141)(38, 140)(39, 119)(40, 122)(41, 144)(42, 132)(43, 125)(44, 134)(45, 133)(46, 143)(47, 142)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.536
Graph:: simple bipartite
	v = 20 e = 96 f = 26
	degree seq :: [ 8^12, 12^8 ]

E26.534 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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, (R * Y3)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, Y1^4, Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y3 * Y1^-1 * Y2^-1 * Y3 * Y2, R * Y2 * R * Y1^-1 * Y2, Y2^6, 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 ]
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, 36, 84, 27, 75)(13, 61, 24, 72, 31, 79, 15, 63)(16, 64, 18, 66, 25, 73, 32, 80)(19, 67, 26, 74, 37, 85, 34, 82)(28, 76, 41, 89, 46, 94, 38, 86)(29, 77, 42, 90, 39, 87, 30, 78)(33, 81, 45, 93, 40, 88, 35, 83)(43, 91, 47, 95, 48, 96, 44, 92)(97, 145, 99, 147, 108, 156, 124, 172, 115, 163, 102, 150)(98, 146, 104, 152, 119, 167, 134, 182, 122, 170, 106, 154)(100, 148, 111, 159, 125, 173, 140, 188, 129, 177, 112, 160)(101, 149, 107, 155, 123, 171, 137, 185, 130, 178, 113, 161)(103, 151, 116, 164, 132, 180, 142, 190, 133, 181, 118, 166)(105, 153, 109, 157, 126, 174, 139, 187, 131, 179, 114, 162)(110, 158, 127, 175, 138, 186, 144, 192, 141, 189, 128, 176)(117, 165, 120, 168, 135, 183, 143, 191, 136, 184, 121, 169)
	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, 138)(28, 139)(29, 108)(30, 119)(31, 116)(32, 118)(33, 115)(34, 141)(35, 122)(36, 135)(37, 136)(38, 143)(39, 132)(40, 133)(41, 140)(42, 123)(43, 124)(44, 137)(45, 130)(46, 144)(47, 134)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.535
Graph:: simple bipartite
	v = 20 e = 96 f = 26
	degree seq :: [ 8^12, 12^8 ]

E26.535 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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 :: [ Y3^2, Y2^2, R^2, Y2 * Y1 * Y3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y2 * Y3 * Y2 * Y1 * Y2 * Y1^-1, (R * Y2 * Y3)^2, Y2 * Y3 * Y2 * Y1 * Y2 * Y1^-1, (Y3 * Y1 * Y2 * Y1^-1)^2, Y3 * Y2 * Y3 * Y1 * Y2 * Y3 * Y2 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y2 * Y3 * Y1^-2, Y1^-2 * Y3 * Y1^-4 * Y2, Y3 * Y1^2 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1, Y1^-3 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 16, 64, 34, 82, 29, 77, 12, 60, 22, 70, 40, 88, 47, 95, 46, 94, 24, 72, 41, 89, 27, 75, 44, 92, 48, 96, 45, 93, 23, 71, 9, 57, 19, 67, 37, 85, 33, 81, 15, 63, 5, 53)(3, 51, 8, 56, 21, 69, 43, 91, 32, 80, 42, 90, 20, 68, 7, 55, 18, 66, 39, 87, 31, 79, 14, 62, 28, 76, 38, 86, 17, 65, 36, 84, 30, 78, 13, 61, 4, 52, 11, 59, 26, 74, 35, 83, 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, 142, 190)(122, 170, 133, 181)(124, 172, 137, 185)(126, 174, 141, 189)(128, 176, 130, 178)(129, 177, 139, 187)(132, 180, 143, 191)(135, 183, 144, 192)
	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, 130)(26, 140)(27, 134)(28, 108)(29, 138)(30, 142)(31, 141)(32, 111)(33, 131)(34, 121)(35, 129)(36, 112)(37, 113)(38, 123)(39, 143)(40, 117)(41, 116)(42, 125)(43, 144)(44, 122)(45, 127)(46, 126)(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) :: { ( 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 E26.534
Graph:: bipartite
	v = 26 e = 96 f = 20
	degree seq :: [ 4^24, 48^2 ]

E26.536 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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, Y3^2, Y2 * Y1^-1 * Y3 * Y1, Y1^-1 * Y3 * Y1 * Y2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y3 * Y2 * Y3 * Y1 * Y3, (R * Y2 * Y3)^2, Y3 * Y2 * Y1 * Y2 * Y3 * Y1^-1, Y1^-1 * R * Y3 * Y1^-1 * R * Y2, (Y2 * Y1 * Y3 * Y1^-1)^2, Y3 * Y1^-2 * Y2 * Y1^-4, Y1^-1 * Y2 * Y3 * Y2 * Y1^2 * Y3 * Y1^-1, (Y3 * Y2)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 16, 64, 34, 82, 26, 74, 10, 58, 20, 68, 38, 86, 47, 95, 46, 94, 29, 77, 43, 91, 24, 72, 42, 90, 48, 96, 45, 93, 27, 75, 12, 60, 21, 69, 39, 87, 33, 81, 15, 63, 5, 53)(3, 51, 9, 57, 23, 71, 36, 84, 30, 78, 13, 61, 4, 52, 7, 55, 19, 67, 41, 89, 32, 80, 44, 92, 22, 70, 8, 56, 17, 65, 37, 85, 31, 79, 14, 62, 25, 73, 40, 88, 18, 66, 35, 83, 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, 130, 178)(127, 175, 141, 189)(129, 177, 132, 180)(133, 181, 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, 141)(29, 140)(30, 142)(31, 111)(32, 130)(33, 137)(34, 128)(35, 143)(36, 112)(37, 144)(38, 113)(39, 119)(40, 117)(41, 129)(42, 115)(43, 121)(44, 125)(45, 124)(46, 126)(47, 131)(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, 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 E26.533
Graph:: bipartite
	v = 26 e = 96 f = 20
	degree seq :: [ 4^24, 48^2 ]

E26.537 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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, Y1^2 * Y3^2, (Y3 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y3^-2 * Y1^-2, Y3 * Y1^-1 * Y2^-2, Y3 * Y2 * Y3^3 * Y2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-3 * Y2 * Y1^-1, Y1 * Y2 * Y1^-1 * Y3 * Y1 * Y2^-1, Y3 * Y2 * Y3^-2 * Y2 * Y1, Y2^-1 * Y3 * Y1 * Y2^-1 * Y1^-2, Y2 * R * Y2 * R * Y1^-1 * Y3^-1, (Y1^-1 * R * Y2^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, (Y3 * Y1)^4, Y3 * Y1^-1 * Y2^22 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 25, 73, 19, 67, 5, 53)(3, 51, 13, 61, 26, 74, 11, 59, 34, 82, 16, 64)(4, 52, 18, 66, 7, 55, 23, 71, 28, 76, 14, 62)(6, 54, 22, 70, 27, 75, 20, 68, 31, 79, 9, 57)(10, 58, 33, 81, 12, 60, 35, 83, 21, 69, 29, 77)(15, 63, 40, 88, 17, 65, 41, 89, 24, 72, 37, 85)(30, 78, 46, 94, 32, 80, 47, 95, 36, 84, 43, 91)(38, 86, 44, 92, 39, 87, 45, 93, 42, 90, 48, 96)(97, 145, 99, 147, 110, 158, 133, 181, 144, 192, 128, 176, 106, 154, 127, 175, 115, 163, 130, 178, 119, 167, 137, 185, 141, 189, 126, 174, 117, 165, 123, 171, 104, 152, 122, 170, 114, 162, 136, 184, 140, 188, 132, 180, 108, 156, 102, 150)(98, 146, 105, 153, 125, 173, 139, 187, 134, 182, 120, 168, 103, 151, 109, 157, 101, 149, 116, 164, 131, 179, 143, 191, 138, 186, 113, 161, 100, 148, 112, 160, 121, 169, 118, 166, 129, 177, 142, 190, 135, 183, 111, 159, 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, 134)(15, 130)(16, 123)(17, 99)(18, 135)(19, 124)(20, 132)(21, 121)(22, 128)(23, 138)(24, 122)(25, 108)(26, 113)(27, 107)(28, 104)(29, 140)(30, 116)(31, 112)(32, 105)(33, 141)(34, 120)(35, 144)(36, 118)(37, 143)(38, 119)(39, 110)(40, 139)(41, 142)(42, 114)(43, 133)(44, 131)(45, 125)(46, 136)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.532
Graph:: bipartite
	v = 10 e = 96 f = 36
	degree seq :: [ 12^8, 48^2 ]

E26.538 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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, Y1^-1 * Y2 * Y3^-1 * Y2^-1, Y2^-1 * Y1^-1 * Y3 * Y2^-1, (Y3 * Y2^-1)^2, (R * Y3)^2, (Y2 * Y1)^2, Y1^-2 * Y3^-2, (R * Y1)^2, Y3^2 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y1^-1 * Y2^-1 * Y3^-2 * Y2 * Y1^-1, Y1^2 * Y2 * Y3^-1 * Y1^-1 * Y2, (R * Y2 * Y3^-1)^2, Y2^2 * Y1^2 * Y3^-1 * Y1^-1, Y3^2 * Y1^-4, Y3^6, Y2^2 * Y3 * Y1^-1 * Y3^2, (Y3 * Y1)^4, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y2^20 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 25, 73, 19, 67, 5, 53)(3, 51, 13, 61, 26, 74, 11, 59, 33, 81, 16, 64)(4, 52, 17, 65, 7, 55, 23, 71, 28, 76, 20, 68)(6, 54, 21, 69, 27, 75, 15, 63, 29, 77, 9, 57)(10, 58, 30, 78, 12, 60, 35, 83, 14, 62, 32, 80)(18, 66, 40, 88, 22, 70, 38, 86, 24, 72, 42, 90)(31, 79, 46, 94, 34, 82, 44, 92, 36, 84, 48, 96)(37, 85, 43, 91, 39, 87, 45, 93, 41, 89, 47, 95)(97, 145, 99, 147, 110, 158, 132, 180, 141, 189, 134, 182, 113, 161, 125, 173, 115, 163, 129, 177, 108, 156, 130, 178, 139, 187, 136, 184, 116, 164, 123, 171, 104, 152, 122, 170, 106, 154, 127, 175, 143, 191, 138, 186, 119, 167, 102, 150)(98, 146, 105, 153, 100, 148, 114, 162, 137, 185, 140, 188, 126, 174, 109, 157, 101, 149, 111, 159, 124, 172, 120, 168, 135, 183, 142, 190, 128, 176, 112, 160, 121, 169, 117, 165, 103, 151, 118, 166, 133, 181, 144, 192, 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, 121)(15, 129)(16, 132)(17, 133)(18, 123)(19, 124)(20, 137)(21, 122)(22, 125)(23, 135)(24, 102)(25, 108)(26, 105)(27, 120)(28, 104)(29, 114)(30, 139)(31, 112)(32, 143)(33, 117)(34, 109)(35, 141)(36, 107)(37, 116)(38, 142)(39, 113)(40, 144)(41, 119)(42, 140)(43, 128)(44, 134)(45, 126)(46, 136)(47, 131)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.531
Graph:: bipartite
	v = 10 e = 96 f = 36
	degree seq :: [ 12^8, 48^2 ]

E26.539 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 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 * Y3^-3, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2 * Y1 * Y2^-1 * Y3 * Y1 * Y3^-1, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y2^-1 * Y1 * Y3 * Y2 * Y1 * Y3^-1, Y2^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y1, (Y3^-1 * Y1)^24 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 15, 63)(5, 53, 17, 65)(6, 54, 19, 67)(7, 55, 20, 68)(8, 56, 24, 72)(9, 57, 26, 74)(10, 58, 28, 76)(12, 60, 21, 69)(13, 61, 22, 70)(14, 62, 23, 71)(16, 64, 25, 73)(18, 66, 27, 75)(29, 77, 39, 87)(30, 78, 43, 91)(31, 79, 37, 85)(32, 80, 44, 92)(33, 81, 45, 93)(34, 82, 46, 94)(35, 83, 38, 86)(36, 84, 40, 88)(41, 89, 47, 95)(42, 90, 48, 96)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 117, 165, 105, 153)(100, 148, 109, 157, 129, 177, 112, 160)(102, 150, 110, 158, 130, 178, 114, 162)(104, 152, 118, 166, 137, 185, 121, 169)(106, 154, 119, 167, 138, 186, 123, 171)(107, 155, 125, 173, 113, 161, 127, 175)(111, 159, 126, 174, 141, 189, 131, 179)(115, 163, 128, 176, 142, 190, 132, 180)(116, 164, 133, 181, 122, 170, 135, 183)(120, 168, 134, 182, 143, 191, 139, 187)(124, 172, 136, 184, 144, 192, 140, 188)
	L = (1, 100)(2, 104)(3, 109)(4, 110)(5, 112)(6, 97)(7, 118)(8, 119)(9, 121)(10, 98)(11, 126)(12, 129)(13, 130)(14, 99)(15, 128)(16, 102)(17, 131)(18, 101)(19, 127)(20, 134)(21, 137)(22, 138)(23, 103)(24, 136)(25, 106)(26, 139)(27, 105)(28, 135)(29, 141)(30, 142)(31, 111)(32, 107)(33, 114)(34, 108)(35, 115)(36, 113)(37, 143)(38, 144)(39, 120)(40, 116)(41, 123)(42, 117)(43, 124)(44, 122)(45, 132)(46, 125)(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) :: { ( 12, 48, 12, 48 ), ( 12, 48, 12, 48, 12, 48, 12, 48 ) }
Outer automorphisms :: reflexible
Dual of E26.545
Graph:: simple bipartite
	v = 36 e = 96 f = 10
	degree seq :: [ 4^24, 8^12 ]

E26.540 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 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, Y1 * Y2^-2, Y3 * Y1 * Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^2 * Y2 * Y3^-2, Y3^-1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1, Y3^-3 * Y2 * Y3^-1 * Y2^-1 * Y3^-2, (Y3 * Y2^-1)^6 ]
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, 47, 95)(44, 92, 45, 93)(46, 94, 48, 96)(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, 144, 192, 133, 181, 142, 190)(130, 178, 140, 188, 131, 179, 141, 189)(132, 180, 143, 191, 134, 182, 137, 185)
	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, 142)(28, 107)(29, 143)(30, 141)(31, 144)(32, 109)(33, 111)(34, 112)(35, 113)(36, 114)(37, 140)(38, 116)(39, 134)(40, 117)(41, 130)(42, 132)(43, 119)(44, 120)(45, 121)(46, 122)(47, 131)(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, 48, 12, 48 ), ( 12, 48, 12, 48, 12, 48, 12, 48 ) }
Outer automorphisms :: reflexible
Dual of E26.546
Graph:: bipartite
	v = 36 e = 96 f = 10
	degree seq :: [ 4^24, 8^12 ]

E26.541 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 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, Y1^4, (Y3 * Y1^-1)^2, (Y1^-1, Y2^-1), (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, Y1^2 * Y2^-3, Y3^-4 * Y1^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-2 * Y2, Y3 * Y2 * Y3 * Y2 * Y3^2 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 9, 57, 22, 70, 15, 63)(4, 52, 17, 65, 25, 73, 12, 60)(6, 54, 11, 59, 13, 61, 21, 69)(7, 55, 20, 68, 26, 74, 10, 58)(14, 62, 35, 83, 41, 89, 28, 76)(16, 64, 37, 85, 43, 91, 27, 75)(18, 66, 32, 80, 24, 72, 29, 77)(19, 67, 39, 87, 33, 81, 31, 79)(23, 71, 42, 90, 34, 82, 30, 78)(36, 84, 46, 94, 38, 86, 45, 93)(40, 88, 48, 96, 44, 92, 47, 95)(97, 145, 99, 147, 109, 157, 104, 152, 118, 166, 102, 150)(98, 146, 105, 153, 117, 165, 101, 149, 111, 159, 107, 155)(100, 148, 110, 158, 129, 177, 121, 169, 137, 185, 115, 163)(103, 151, 112, 160, 130, 178, 122, 170, 139, 187, 119, 167)(106, 154, 123, 171, 138, 186, 116, 164, 133, 181, 126, 174)(108, 156, 124, 172, 135, 183, 113, 161, 131, 179, 127, 175)(114, 162, 132, 180, 140, 188, 120, 168, 134, 182, 136, 184)(125, 173, 141, 189, 144, 192, 128, 176, 142, 190, 143, 191)
	L = (1, 100)(2, 106)(3, 110)(4, 114)(5, 116)(6, 115)(7, 97)(8, 121)(9, 123)(10, 125)(11, 126)(12, 98)(13, 129)(14, 132)(15, 133)(16, 99)(17, 101)(18, 122)(19, 136)(20, 128)(21, 138)(22, 137)(23, 102)(24, 103)(25, 120)(26, 104)(27, 141)(28, 105)(29, 113)(30, 143)(31, 107)(32, 108)(33, 140)(34, 109)(35, 111)(36, 139)(37, 142)(38, 112)(39, 117)(40, 130)(41, 134)(42, 144)(43, 118)(44, 119)(45, 131)(46, 124)(47, 135)(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, 48, 4, 48, 4, 48, 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E26.544
Graph:: bipartite
	v = 20 e = 96 f = 26
	degree seq :: [ 8^12, 12^8 ]

E26.542 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 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 * Y1, Y3 * Y1^3, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y3^-1 * Y1^-2, Y2^-1 * Y1^2 * Y2 * Y1^-2, Y2 * Y1 * Y2^-2 * Y1^-1 * Y2, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y2 * Y3 * Y2^-2 * Y3^-1 * Y2, Y2^6, Y2^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y1^-1, Y2 * R * Y2 * Y1 * Y2^-1 * 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, 34, 82, 28, 76)(16, 64, 24, 72, 35, 83, 31, 79)(25, 73, 39, 87, 29, 77, 36, 84)(26, 74, 40, 88, 30, 78, 37, 85)(27, 75, 43, 91, 46, 94, 44, 92)(32, 80, 42, 90, 33, 81, 41, 89)(38, 86, 47, 95, 45, 93, 48, 96)(97, 145, 99, 147, 106, 154, 123, 171, 112, 160, 101, 149)(98, 146, 103, 151, 116, 164, 134, 182, 120, 168, 104, 152)(100, 148, 108, 156, 124, 172, 141, 189, 127, 175, 109, 157)(102, 150, 113, 161, 130, 178, 142, 190, 131, 179, 114, 162)(105, 153, 121, 169, 139, 187, 128, 176, 110, 158, 122, 170)(107, 155, 125, 173, 140, 188, 129, 177, 111, 159, 126, 174)(115, 163, 132, 180, 143, 191, 137, 185, 118, 166, 133, 181)(117, 165, 135, 183, 144, 192, 138, 186, 119, 167, 136, 184)
	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, 135)(26, 136)(27, 139)(28, 106)(29, 132)(30, 133)(31, 112)(32, 138)(33, 137)(34, 124)(35, 127)(36, 121)(37, 122)(38, 143)(39, 125)(40, 126)(41, 128)(42, 129)(43, 142)(44, 123)(45, 144)(46, 140)(47, 141)(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, 48, 4, 48, 4, 48, 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E26.543
Graph:: bipartite
	v = 20 e = 96 f = 26
	degree seq :: [ 8^12, 12^8 ]

E26.543 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 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, Y2 * Y3^-2, Y1 * Y2 * Y1^-1 * Y2, (Y3 * R)^2, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y1^-1 * Y2 * Y1 * Y3^-1, Y1^2 * Y3^-1 * Y1^-2 * Y3^-1, Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1^-2 * Y3^-1 * Y1^-1 * Y3 * Y1^-3, (Y3^-1 * Y1^-1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 19, 67, 37, 85, 32, 80, 46, 94, 28, 76, 43, 91, 47, 95, 27, 75, 11, 59, 3, 51, 8, 56, 20, 68, 38, 86, 48, 96, 30, 78, 45, 93, 29, 77, 44, 92, 35, 83, 15, 63, 5, 53)(4, 52, 12, 60, 22, 70, 42, 90, 33, 81, 14, 62, 26, 74, 10, 58, 25, 73, 39, 87, 34, 82, 18, 66, 6, 54, 17, 65, 21, 69, 41, 89, 36, 84, 16, 64, 24, 72, 9, 57, 23, 71, 40, 88, 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, 144)(34, 123)(35, 137)(36, 133)(37, 129)(38, 136)(39, 134)(40, 115)(41, 143)(42, 131)(43, 121)(44, 119)(45, 122)(46, 120)(47, 138)(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, 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 E26.542
Graph:: bipartite
	v = 26 e = 96 f = 20
	degree seq :: [ 4^24, 48^2 ]

E26.544 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 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), Y3 * Y1^-3, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y3 * Y1 * Y2 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y3^2 * Y2 * Y1, Y3^8, (Y3 * Y2)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 4, 52, 9, 57, 22, 70, 16, 64, 28, 76, 41, 89, 32, 80, 42, 90, 47, 95, 46, 94, 48, 96, 45, 93, 34, 82, 43, 91, 37, 85, 20, 68, 30, 78, 18, 66, 6, 54, 10, 58, 5, 53)(3, 51, 11, 59, 31, 79, 12, 60, 27, 75, 17, 65, 33, 81, 44, 92, 36, 84, 15, 63, 29, 77, 40, 88, 35, 83, 39, 87, 21, 69, 19, 67, 26, 74, 38, 86, 25, 73, 8, 56, 23, 71, 14, 62, 24, 72, 13, 61)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 111, 159)(101, 149, 113, 161)(102, 150, 115, 163)(103, 151, 117, 165)(105, 153, 123, 171)(106, 154, 125, 173)(107, 155, 126, 174)(108, 156, 128, 176)(109, 157, 118, 166)(110, 158, 130, 178)(112, 160, 121, 169)(114, 162, 119, 167)(116, 164, 129, 177)(120, 168, 138, 186)(122, 170, 139, 187)(124, 172, 135, 183)(127, 175, 141, 189)(131, 179, 142, 190)(132, 180, 137, 185)(133, 181, 136, 184)(134, 182, 143, 191)(140, 188, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 112)(5, 103)(6, 97)(7, 118)(8, 120)(9, 124)(10, 98)(11, 123)(12, 129)(13, 127)(14, 99)(15, 131)(16, 128)(17, 132)(18, 101)(19, 121)(20, 102)(21, 134)(22, 137)(23, 109)(24, 107)(25, 110)(26, 104)(27, 140)(28, 138)(29, 135)(30, 106)(31, 113)(32, 142)(33, 111)(34, 116)(35, 115)(36, 136)(37, 114)(38, 119)(39, 122)(40, 117)(41, 143)(42, 144)(43, 126)(44, 125)(45, 133)(46, 130)(47, 141)(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, 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 E26.541
Graph:: bipartite
	v = 26 e = 96 f = 20
	degree seq :: [ 4^24, 48^2 ]

E26.545 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 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 * Y3, (Y2 * Y3^-1)^2, (Y1, Y2), (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2^-4, R * Y2 * R * Y1 * Y2^-1, Y1^6, (Y3^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 24, 72, 17, 65, 5, 53)(3, 51, 9, 57, 25, 73, 43, 91, 34, 82, 14, 62)(4, 52, 10, 58, 26, 74, 38, 86, 19, 67, 7, 55)(6, 54, 11, 59, 27, 75, 44, 92, 37, 85, 18, 66)(12, 60, 21, 69, 30, 78, 47, 95, 48, 96, 32, 80)(13, 61, 28, 76, 45, 93, 40, 88, 23, 71, 15, 63)(16, 64, 29, 77, 46, 94, 39, 87, 22, 70, 20, 68)(31, 79, 42, 90, 41, 89, 36, 84, 35, 83, 33, 81)(97, 145, 99, 147, 108, 156, 114, 162, 101, 149, 110, 158, 128, 176, 133, 181, 113, 161, 130, 178, 144, 192, 140, 188, 120, 168, 139, 187, 143, 191, 123, 171, 104, 152, 121, 169, 126, 174, 107, 155, 98, 146, 105, 153, 117, 165, 102, 150)(100, 148, 112, 160, 132, 180, 119, 167, 103, 151, 116, 164, 137, 185, 136, 184, 115, 163, 118, 166, 138, 186, 141, 189, 134, 182, 135, 183, 127, 175, 124, 172, 122, 170, 142, 190, 129, 177, 109, 157, 106, 154, 125, 173, 131, 179, 111, 159)
	L = (1, 100)(2, 106)(3, 109)(4, 98)(5, 103)(6, 116)(7, 97)(8, 122)(9, 124)(10, 104)(11, 112)(12, 127)(13, 105)(14, 111)(15, 99)(16, 123)(17, 115)(18, 118)(19, 101)(20, 107)(21, 138)(22, 102)(23, 110)(24, 134)(25, 141)(26, 120)(27, 125)(28, 121)(29, 140)(30, 137)(31, 117)(32, 129)(33, 108)(34, 119)(35, 128)(36, 144)(37, 135)(38, 113)(39, 114)(40, 130)(41, 143)(42, 126)(43, 136)(44, 142)(45, 139)(46, 133)(47, 132)(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, 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 E26.539
Graph:: bipartite
	v = 10 e = 96 f = 36
	degree seq :: [ 12^8, 48^2 ]

E26.546 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 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^-1 * Y3)^2, (R * Y2)^2, (Y2, Y3), (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y1 * Y2^-2 * Y1 * Y3^-2, Y3^-1 * Y1 * Y2^-1 * Y1^-3, Y3 * Y2^3 * Y1^-2, Y1 * Y3^-3 * Y2^-1 * Y1, (Y2^-1 * Y3^-1 * Y1)^2, Y2 * Y1^-1 * Y3 * Y1^-3, (Y3^-1 * Y1^-1 * Y2 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 27, 75, 22, 70, 5, 53)(3, 51, 13, 61, 28, 76, 12, 60, 40, 88, 16, 64)(4, 52, 18, 66, 29, 77, 11, 59, 37, 85, 19, 67)(6, 54, 23, 71, 30, 78, 21, 69, 36, 84, 10, 58)(7, 55, 26, 74, 31, 79, 20, 68, 34, 82, 9, 57)(14, 62, 33, 81, 45, 93, 43, 91, 25, 73, 38, 86)(15, 63, 32, 80, 46, 94, 42, 90, 24, 72, 39, 87)(17, 65, 35, 83, 47, 95, 44, 92, 48, 96, 41, 89)(97, 145, 99, 147, 110, 158, 127, 175, 143, 191, 125, 173, 142, 190, 132, 180, 118, 166, 136, 184, 121, 169, 103, 151, 113, 161, 100, 148, 111, 159, 126, 174, 104, 152, 124, 172, 141, 189, 130, 178, 144, 192, 133, 181, 120, 168, 102, 150)(98, 146, 105, 153, 128, 176, 112, 160, 140, 188, 119, 167, 139, 187, 114, 162, 101, 149, 116, 164, 135, 183, 108, 156, 131, 179, 106, 154, 129, 177, 115, 163, 123, 171, 122, 170, 138, 186, 109, 157, 137, 185, 117, 165, 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, 126)(15, 127)(16, 123)(17, 99)(18, 137)(19, 140)(20, 134)(21, 135)(22, 133)(23, 138)(24, 103)(25, 102)(26, 139)(27, 119)(28, 142)(29, 141)(30, 143)(31, 104)(32, 115)(33, 112)(34, 118)(35, 105)(36, 144)(37, 121)(38, 108)(39, 107)(40, 120)(41, 116)(42, 114)(43, 109)(44, 122)(45, 132)(46, 130)(47, 124)(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, 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 E26.540
Graph:: bipartite
	v = 10 e = 96 f = 36
	degree seq :: [ 12^8, 48^2 ]

E26.547 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 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 * Y3^2, Y1 * Y2 * Y1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^6, (Y2^-1 * Y3)^4, Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 13, 61)(5, 53, 9, 57)(6, 54, 16, 64)(8, 56, 19, 67)(10, 58, 22, 70)(11, 59, 17, 65)(12, 60, 25, 73)(14, 62, 27, 75)(15, 63, 21, 69)(18, 66, 33, 81)(20, 68, 35, 83)(23, 71, 31, 79)(24, 72, 39, 87)(26, 74, 41, 89)(28, 76, 44, 92)(29, 77, 43, 91)(30, 78, 45, 93)(32, 80, 46, 94)(34, 82, 40, 88)(36, 84, 48, 96)(37, 85, 47, 95)(38, 86, 42, 90)(97, 145, 99, 147, 107, 155, 119, 167, 111, 159, 101, 149)(98, 146, 103, 151, 113, 161, 127, 175, 117, 165, 105, 153)(100, 148, 102, 150, 108, 156, 120, 168, 125, 173, 110, 158)(104, 152, 106, 154, 114, 162, 128, 176, 133, 181, 116, 164)(109, 157, 112, 160, 121, 169, 135, 183, 139, 187, 123, 171)(115, 163, 118, 166, 129, 177, 142, 190, 143, 191, 131, 179)(122, 170, 124, 172, 126, 174, 136, 184, 144, 192, 138, 186)(130, 178, 132, 180, 134, 182, 137, 185, 140, 188, 141, 189)
	L = (1, 100)(2, 104)(3, 102)(4, 101)(5, 110)(6, 97)(7, 106)(8, 105)(9, 116)(10, 98)(11, 108)(12, 99)(13, 122)(14, 111)(15, 125)(16, 124)(17, 114)(18, 103)(19, 130)(20, 117)(21, 133)(22, 132)(23, 120)(24, 107)(25, 126)(26, 123)(27, 138)(28, 109)(29, 119)(30, 112)(31, 128)(32, 113)(33, 134)(34, 131)(35, 141)(36, 115)(37, 127)(38, 118)(39, 136)(40, 121)(41, 129)(42, 139)(43, 144)(44, 142)(45, 143)(46, 137)(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) :: { ( 8, 48, 8, 48 ), ( 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E26.550
Graph:: simple bipartite
	v = 32 e = 96 f = 14
	degree seq :: [ 4^24, 12^8 ]

E26.548 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 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, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y1, Y1 * Y2^-1 * Y1 * Y2, Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, Y2 * Y3 * Y2^-2 * Y3^-1 * Y2, Y2 * Y3 * Y2^-2 * Y3^-1 * Y2, Y2^6, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3^-2)^2, Y3^-1 * Y2^-1 * Y3^3 * Y2^-1, Y2^2 * Y3^-1 * Y2^-2 * Y3, Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3^-2 * Y1 * Y3^-1 * Y2^-2 * 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, 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, 46, 94)(33, 81, 36, 84)(34, 82, 45, 93)(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, 114, 162, 101, 149)(98, 146, 103, 151, 119, 167, 135, 183, 123, 171, 105, 153)(100, 148, 110, 158, 128, 176, 124, 172, 139, 187, 112, 160)(102, 150, 116, 164, 129, 177, 120, 168, 141, 189, 117, 165)(104, 152, 121, 169, 142, 190, 115, 163, 133, 181, 109, 157)(106, 154, 113, 161, 132, 180, 108, 156, 130, 178, 125, 173)(111, 159, 137, 185, 126, 174, 134, 182, 144, 192, 138, 186)(118, 166, 140, 188, 143, 191, 136, 184, 122, 170, 131, 179)
	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, 142)(24, 137)(25, 127)(26, 141)(27, 133)(28, 105)(29, 140)(30, 106)(31, 125)(32, 126)(33, 107)(34, 123)(35, 124)(36, 119)(37, 143)(38, 109)(39, 117)(40, 110)(41, 115)(42, 121)(43, 144)(44, 112)(45, 114)(46, 118)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.549
Graph:: simple bipartite
	v = 32 e = 96 f = 14
	degree seq :: [ 4^24, 12^8 ]

E26.549 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 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 * Y1, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y1^4, (R * Y3)^2, Y2^2 * Y1^-1 * Y2^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y1^2 * Y2 * Y1, Y2^2 * Y1^-1 * Y2^-2 * Y1^-1, Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y2^3 * Y1^-1)^2, (Y3 * Y2^-1)^6 ]
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, 46, 94, 47, 95, 44, 92)(32, 80, 42, 90, 33, 81, 43, 91)(34, 82, 45, 93, 48, 96, 39, 87)(97, 145, 99, 147, 106, 154, 124, 172, 139, 187, 119, 167, 134, 182, 115, 163, 133, 181, 144, 192, 132, 180, 114, 162, 102, 150, 113, 161, 131, 179, 143, 191, 138, 186, 118, 166, 137, 185, 117, 165, 136, 184, 130, 178, 112, 160, 101, 149)(98, 146, 103, 151, 116, 164, 135, 183, 128, 176, 110, 158, 126, 174, 107, 155, 125, 173, 142, 190, 127, 175, 109, 157, 100, 148, 108, 156, 123, 171, 141, 189, 129, 177, 111, 159, 122, 170, 105, 153, 121, 169, 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, 142)(29, 136)(30, 134)(31, 132)(32, 138)(33, 139)(34, 141)(35, 116)(36, 120)(37, 125)(38, 122)(39, 130)(40, 121)(41, 126)(42, 129)(43, 128)(44, 124)(45, 144)(46, 143)(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, 12, 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 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 E26.548
Graph:: bipartite
	v = 14 e = 96 f = 32
	degree seq :: [ 8^12, 48^2 ]

E26.550 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 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, (Y2^-1, Y3), Y1^4, (R * Y3)^2, (R * Y2)^2, Y2^-3 * Y3^-1, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y2^-1 * Y3^-2 * Y1 * Y2 * Y1^-1, Y2 * Y3 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y1^-2 * Y3^-4, Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, Y2 * Y1^-2 * Y2^-1 * Y1^-2, (Y3 * Y2 * Y3^2)^3 ]
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, 24, 72, 29, 77, 25, 73)(7, 55, 22, 70, 30, 78, 10, 58)(9, 57, 31, 79, 21, 69, 34, 82)(11, 59, 38, 86, 23, 71, 39, 87)(14, 62, 42, 90, 45, 93, 32, 80)(15, 63, 43, 91, 46, 94, 33, 81)(17, 65, 35, 83, 47, 95, 41, 89)(19, 67, 40, 88, 26, 74, 36, 84)(20, 68, 37, 85, 48, 96, 44, 92)(97, 145, 99, 147, 110, 158, 103, 151, 113, 161, 135, 183, 122, 170, 127, 175, 144, 192, 124, 172, 142, 190, 125, 173, 104, 152, 123, 171, 141, 189, 126, 174, 143, 191, 134, 182, 115, 163, 130, 178, 116, 164, 100, 148, 111, 159, 102, 150)(98, 146, 105, 153, 128, 176, 108, 156, 131, 179, 120, 168, 136, 184, 112, 160, 140, 188, 118, 166, 139, 187, 119, 167, 101, 149, 117, 165, 138, 186, 114, 162, 137, 185, 121, 169, 132, 180, 109, 157, 133, 181, 106, 154, 129, 177, 107, 155)
	L = (1, 100)(2, 106)(3, 111)(4, 115)(5, 118)(6, 116)(7, 97)(8, 124)(9, 129)(10, 132)(11, 133)(12, 98)(13, 137)(14, 102)(15, 130)(16, 131)(17, 99)(18, 101)(19, 126)(20, 134)(21, 139)(22, 136)(23, 140)(24, 128)(25, 138)(26, 103)(27, 142)(28, 122)(29, 144)(30, 104)(31, 113)(32, 107)(33, 109)(34, 143)(35, 105)(36, 114)(37, 121)(38, 141)(39, 110)(40, 108)(41, 117)(42, 119)(43, 112)(44, 120)(45, 125)(46, 127)(47, 123)(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, 12, 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 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 E26.547
Graph:: bipartite
	v = 14 e = 96 f = 32
	degree seq :: [ 8^12, 48^2 ]

E26.551 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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, Y2^3, Y2^-1 * Y1 * Y2 * Y1, (Y2, Y3^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2 * Y3^4, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, (Y2 * Y3^-2 * Y1)^2, Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3 * Y2^-1, Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * 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^-1 * Y1)^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 13, 61)(5, 53, 9, 57)(6, 54, 17, 65)(8, 56, 21, 69)(10, 58, 25, 73)(11, 59, 27, 75)(12, 60, 28, 76)(14, 62, 22, 70)(15, 63, 31, 79)(16, 64, 33, 81)(18, 66, 26, 74)(19, 67, 35, 83)(20, 68, 36, 84)(23, 71, 39, 87)(24, 72, 41, 89)(29, 77, 37, 85)(30, 78, 45, 93)(32, 80, 47, 95)(34, 82, 48, 96)(38, 86, 43, 91)(40, 88, 44, 92)(42, 90, 46, 94)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 107, 155, 111, 159)(102, 150, 108, 156, 112, 160)(104, 152, 115, 163, 119, 167)(106, 154, 116, 164, 120, 168)(109, 157, 123, 171, 127, 175)(110, 158, 114, 162, 125, 173)(113, 161, 124, 172, 129, 177)(117, 165, 131, 179, 135, 183)(118, 166, 122, 170, 133, 181)(121, 169, 132, 180, 137, 185)(126, 174, 130, 178, 140, 188)(128, 176, 139, 187, 142, 190)(134, 182, 138, 186, 143, 191)(136, 184, 141, 189, 144, 192)
	L = (1, 100)(2, 104)(3, 107)(4, 110)(5, 111)(6, 97)(7, 115)(8, 118)(9, 119)(10, 98)(11, 114)(12, 99)(13, 126)(14, 112)(15, 125)(16, 101)(17, 128)(18, 102)(19, 122)(20, 103)(21, 134)(22, 120)(23, 133)(24, 105)(25, 136)(26, 106)(27, 130)(28, 139)(29, 108)(30, 129)(31, 140)(32, 109)(33, 142)(34, 113)(35, 138)(36, 141)(37, 116)(38, 137)(39, 143)(40, 117)(41, 144)(42, 121)(43, 123)(44, 124)(45, 131)(46, 127)(47, 132)(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) :: { ( 24, 48, 24, 48 ), ( 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E26.554
Graph:: simple bipartite
	v = 40 e = 96 f = 6
	degree seq :: [ 4^24, 6^16 ]

E26.552 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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, Y1^3, Y1 * Y3^-2, (Y2^-1, Y1), (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y2^4 * Y1^-1, Y3^-1 * Y2^2 * Y3 * Y2^-2, (Y2 * R * Y2)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y3^-1 * Y2)^2, (Y2^2 * Y1)^2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 ]
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, 17, 65)(11, 59, 23, 71, 19, 67)(12, 60, 24, 72, 14, 62)(15, 63, 25, 73, 21, 69)(16, 64, 26, 74, 22, 70)(18, 66, 27, 75, 20, 68)(28, 76, 38, 86, 29, 77)(30, 78, 39, 87, 32, 80)(31, 79, 42, 90, 33, 81)(34, 82, 40, 88, 35, 83)(36, 84, 41, 89, 37, 85)(43, 91, 47, 95, 44, 92)(45, 93, 48, 96, 46, 94)(97, 145, 99, 147, 107, 155, 106, 154, 98, 146, 104, 152, 119, 167, 113, 161, 101, 149, 109, 157, 115, 163, 102, 150)(100, 148, 111, 159, 124, 172, 122, 170, 105, 153, 121, 169, 134, 182, 118, 166, 103, 151, 117, 165, 125, 173, 112, 160)(108, 156, 126, 174, 123, 171, 138, 186, 120, 168, 135, 183, 116, 164, 129, 177, 110, 158, 128, 176, 114, 162, 127, 175)(130, 178, 142, 190, 137, 185, 140, 188, 136, 184, 141, 189, 133, 181, 139, 187, 131, 179, 144, 192, 132, 180, 143, 191)
	L = (1, 100)(2, 105)(3, 108)(4, 98)(5, 103)(6, 114)(7, 97)(8, 120)(9, 101)(10, 123)(11, 124)(12, 104)(13, 110)(14, 99)(15, 130)(16, 132)(17, 116)(18, 106)(19, 125)(20, 102)(21, 131)(22, 133)(23, 134)(24, 109)(25, 136)(26, 137)(27, 113)(28, 119)(29, 107)(30, 139)(31, 141)(32, 140)(33, 142)(34, 121)(35, 111)(36, 122)(37, 112)(38, 115)(39, 143)(40, 117)(41, 118)(42, 144)(43, 135)(44, 126)(45, 138)(46, 127)(47, 128)(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, 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 E26.553
Graph:: bipartite
	v = 20 e = 96 f = 26
	degree seq :: [ 6^16, 24^4 ]

E26.553 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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, Y3^3 * Y2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3 * Y1^-1 * Y3^-2 * Y1 * Y3, Y3^-1 * Y1 * Y2 * Y1^-3, Y3 * Y1^-1 * Y2 * Y3^-1 * Y1 * Y2, (Y1^-1 * Y3^-1 * Y1^-1)^2, Y1^-1 * Y3 * Y1^-2 * Y2 * Y1^-1, Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y1^16 * Y3^-1 * Y2, (Y3^-1 * Y1 * Y3 * Y1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 23, 71, 42, 90, 38, 86, 47, 95, 41, 89, 14, 62, 30, 78, 44, 92, 36, 84, 46, 94, 40, 88, 48, 96, 37, 85, 12, 60, 28, 76, 43, 91, 35, 83, 45, 93, 39, 87, 19, 67, 5, 53)(3, 51, 11, 59, 34, 82, 10, 58, 33, 81, 17, 65, 25, 73, 22, 70, 6, 54, 21, 69, 32, 80, 9, 57, 31, 79, 20, 68, 24, 72, 16, 64, 4, 52, 15, 63, 29, 77, 8, 56, 27, 75, 18, 66, 26, 74, 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, 134, 182)(111, 159, 132, 180)(112, 160, 135, 183)(114, 162, 133, 181)(115, 163, 128, 176)(116, 164, 137, 185)(117, 165, 119, 167)(118, 166, 136, 184)(121, 169, 139, 187)(122, 170, 140, 188)(123, 171, 141, 189)(125, 173, 143, 191)(127, 175, 142, 190)(129, 177, 138, 186)(130, 178, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 110)(5, 114)(6, 97)(7, 121)(8, 124)(9, 126)(10, 98)(11, 132)(12, 102)(13, 135)(14, 99)(15, 119)(16, 136)(17, 133)(18, 137)(19, 130)(20, 101)(21, 131)(22, 134)(23, 107)(24, 139)(25, 140)(26, 103)(27, 142)(28, 106)(29, 115)(30, 104)(31, 138)(32, 144)(33, 141)(34, 143)(35, 111)(36, 117)(37, 116)(38, 112)(39, 118)(40, 109)(41, 113)(42, 123)(43, 122)(44, 120)(45, 127)(46, 129)(47, 128)(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, 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 E26.552
Graph:: bipartite
	v = 26 e = 96 f = 20
	degree seq :: [ 4^24, 48^2 ]

E26.554 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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^-2 * Y3^2, (Y1, Y3), (Y2 * Y1^-1)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y3)^2, Y1^-1 * Y3^-1 * Y2 * Y3 * Y2 * Y1^-1, Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y1 * Y2^-3, Y2 * Y3^2 * Y2^-1 * Y1^-2, Y1^-1 * Y3^-2 * Y2 * Y1 * Y2, (Y2^-1 * Y1^-1 * R)^2, Y2^2 * Y3 * Y2^-2 * Y1^-1, Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-2, Y3^12 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 27, 75, 21, 69, 7, 55, 12, 60, 4, 52, 10, 58, 29, 77, 19, 67, 5, 53)(3, 51, 13, 61, 28, 76, 26, 74, 39, 87, 16, 64, 36, 84, 15, 63, 35, 83, 20, 68, 37, 85, 11, 59)(6, 54, 18, 66, 30, 78, 9, 57, 31, 79, 25, 73, 40, 88, 22, 70, 34, 82, 17, 65, 33, 81, 23, 71)(14, 62, 42, 90, 24, 72, 44, 92, 45, 93, 43, 91, 46, 94, 32, 80, 47, 95, 38, 86, 48, 96, 41, 89)(97, 145, 99, 147, 110, 158, 129, 177, 115, 163, 133, 181, 144, 192, 130, 178, 106, 154, 131, 179, 143, 191, 136, 184, 108, 156, 132, 180, 142, 190, 127, 175, 117, 165, 135, 183, 141, 189, 126, 174, 104, 152, 124, 172, 120, 168, 102, 150)(98, 146, 105, 153, 128, 176, 116, 164, 101, 149, 114, 162, 139, 187, 111, 159, 125, 173, 119, 167, 140, 188, 112, 160, 100, 148, 113, 161, 138, 186, 122, 170, 103, 151, 118, 166, 137, 185, 109, 157, 123, 171, 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, 115)(28, 116)(29, 117)(30, 113)(31, 119)(32, 120)(33, 121)(34, 105)(35, 122)(36, 109)(37, 112)(38, 141)(39, 107)(40, 114)(41, 142)(42, 143)(43, 110)(44, 144)(45, 137)(46, 138)(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) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 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 E26.551
Graph:: bipartite
	v = 6 e = 96 f = 40
	degree seq :: [ 24^4, 48^2 ]

E26.555 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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^-1)^2, (Y2^-1, Y3), (Y3^-1 * Y2^-1)^2, Y3^-2 * Y2^-2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2^-1, (Y3^-1 * Y2^-1 * Y1)^2, (Y3 * Y2^-1)^3, Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y2^-1, Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2^-1 * Y1, Y3^-2 * Y2^10, Y1 * Y2 * Y3^-1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * 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, 113, 161, 100, 148, 109, 157, 102, 150, 110, 158, 130, 178, 112, 160, 101, 149)(98, 146, 103, 151, 117, 165, 137, 185, 122, 170, 104, 152, 118, 166, 106, 154, 119, 167, 138, 186, 121, 169, 105, 153)(107, 155, 125, 173, 141, 189, 132, 180, 111, 159, 126, 174, 115, 163, 128, 176, 142, 190, 131, 179, 114, 162, 127, 175)(116, 164, 133, 181, 143, 191, 140, 188, 120, 168, 134, 182, 124, 172, 136, 184, 144, 192, 139, 187, 123, 171, 135, 183)
	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, 129)(17, 130)(18, 132)(19, 127)(20, 134)(21, 106)(22, 105)(23, 103)(24, 139)(25, 137)(26, 138)(27, 140)(28, 135)(29, 115)(30, 114)(31, 111)(32, 107)(33, 110)(34, 108)(35, 141)(36, 142)(37, 124)(38, 123)(39, 120)(40, 116)(41, 119)(42, 117)(43, 143)(44, 144)(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) :: { ( 6, 48, 6, 48 ), ( 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48 ) }
Outer automorphisms :: reflexible
Dual of E26.556
Graph:: bipartite
	v = 28 e = 96 f = 18
	degree seq :: [ 4^24, 24^4 ]

E26.556 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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, Y1^3, Y1 * Y3^-2, (Y1^-1, Y2^-1), (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^3 * Y3 * Y2^-1 * Y3, (Y3 * Y2^-2)^2, Y2^-1 * Y1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, Y2 * Y1^-1 * R * Y2^-2 * R * Y2, (Y3 * Y2)^4, Y1 * Y2^8 ]
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, 17, 65)(11, 59, 23, 71, 31, 79)(12, 60, 24, 72, 14, 62)(15, 63, 25, 73, 21, 69)(16, 64, 26, 74, 22, 70)(18, 66, 27, 75, 20, 68)(19, 67, 28, 76, 41, 89)(29, 77, 38, 86, 37, 85)(30, 78, 42, 90, 32, 80)(33, 81, 44, 92, 35, 83)(34, 82, 43, 91, 36, 84)(39, 87, 45, 93, 40, 88)(46, 94, 48, 96, 47, 95)(97, 145, 99, 147, 107, 155, 125, 173, 142, 190, 136, 184, 137, 185, 113, 161, 101, 149, 109, 157, 127, 175, 133, 181, 143, 191, 141, 189, 124, 172, 106, 154, 98, 146, 104, 152, 119, 167, 134, 182, 144, 192, 135, 183, 115, 163, 102, 150)(100, 148, 111, 159, 132, 180, 110, 158, 131, 179, 114, 162, 138, 186, 118, 166, 103, 151, 117, 165, 139, 187, 120, 168, 140, 188, 116, 164, 126, 174, 122, 170, 105, 153, 121, 169, 130, 178, 108, 156, 129, 177, 123, 171, 128, 176, 112, 160)
	L = (1, 100)(2, 105)(3, 108)(4, 98)(5, 103)(6, 114)(7, 97)(8, 120)(9, 101)(10, 123)(11, 126)(12, 104)(13, 110)(14, 99)(15, 133)(16, 135)(17, 116)(18, 106)(19, 139)(20, 102)(21, 134)(22, 136)(23, 138)(24, 109)(25, 125)(26, 141)(27, 113)(28, 132)(29, 117)(30, 119)(31, 128)(32, 107)(33, 143)(34, 115)(35, 144)(36, 137)(37, 121)(38, 111)(39, 122)(40, 112)(41, 130)(42, 127)(43, 124)(44, 142)(45, 118)(46, 131)(47, 140)(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, 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 E26.555
Graph:: bipartite
	v = 18 e = 96 f = 28
	degree seq :: [ 6^16, 48^2 ]

E26.557 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 5, 5, 10})
Quotient :: edge^2
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-1 * Y3 * Y1, (R * Y3)^2, (Y1^-1, Y2^-1), R * Y1 * R * Y2, Y3 * Y2^-1 * Y3^-1 * Y1, Y1^5, Y2^5, Y3 * Y2^-1 * Y3^3 * Y2^-1, (Y3 * Y1^2)^2, Y2 * Y3^-1 * Y2 * Y1^-1 * Y3 * Y1^-1, Y2^-1 * Y1^-2 * Y3^-2 * Y2^-1, Y1 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 51, 4, 54, 17, 67, 32, 82, 9, 59, 31, 81, 21, 71, 47, 97, 25, 75, 7, 57)(2, 52, 10, 60, 33, 83, 49, 99, 26, 76, 24, 74, 6, 56, 18, 68, 37, 87, 12, 62)(3, 53, 14, 64, 41, 91, 50, 100, 30, 80, 22, 72, 5, 55, 19, 69, 45, 95, 16, 66)(8, 58, 27, 77, 23, 73, 46, 96, 43, 93, 36, 86, 11, 61, 34, 84, 39, 89, 29, 79)(13, 63, 38, 88, 20, 70, 48, 98, 35, 85, 44, 94, 15, 65, 42, 92, 28, 78, 40, 90)(101, 102, 108, 120, 105)(103, 109, 126, 143, 115)(104, 114, 138, 146, 118)(106, 111, 128, 141, 121)(107, 116, 140, 127, 124)(110, 131, 122, 144, 134)(112, 132, 150, 148, 136)(113, 130, 125, 137, 139)(117, 133, 123, 135, 145)(119, 142, 129, 149, 147)(151, 153, 163, 173, 156)(152, 159, 180, 185, 161)(154, 160, 177, 198, 169)(155, 165, 189, 183, 171)(157, 162, 179, 188, 172)(158, 176, 175, 195, 178)(164, 181, 174, 186, 192)(166, 182, 199, 196, 194)(167, 191, 170, 193, 187)(168, 184, 190, 200, 197)
	L = (1, 101)(2, 102)(3, 103)(4, 104)(5, 105)(6, 106)(7, 107)(8, 108)(9, 109)(10, 110)(11, 111)(12, 112)(13, 113)(14, 114)(15, 115)(16, 116)(17, 117)(18, 118)(19, 119)(20, 120)(21, 121)(22, 122)(23, 123)(24, 124)(25, 125)(26, 126)(27, 127)(28, 128)(29, 129)(30, 130)(31, 131)(32, 132)(33, 133)(34, 134)(35, 135)(36, 136)(37, 137)(38, 138)(39, 139)(40, 140)(41, 141)(42, 142)(43, 143)(44, 144)(45, 145)(46, 146)(47, 147)(48, 148)(49, 149)(50, 150)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 8^5 ), ( 8^20 ) }
Outer automorphisms :: reflexible
Dual of E26.560
Graph:: simple bipartite
	v = 25 e = 100 f = 25
	degree seq :: [ 5^20, 20^5 ]

E26.558 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 5, 5, 10})
Quotient :: edge^2
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y3 * Y2^-1 * Y3, (Y2, Y1), R * Y1 * R * Y2, (R * Y3)^2, Y2^5, Y1^5, Y1^-1 * Y2^-1 * Y3 * Y2 * Y1 * 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 * Y3 * Y1^-1 * Y2^-2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 51, 4, 54)(2, 52, 9, 59)(3, 53, 12, 62)(5, 55, 15, 65)(6, 56, 14, 64)(7, 57, 20, 70)(8, 58, 23, 73)(10, 60, 24, 74)(11, 61, 26, 76)(13, 63, 28, 78)(16, 66, 32, 82)(17, 67, 31, 81)(18, 68, 30, 80)(19, 69, 36, 86)(21, 71, 37, 87)(22, 72, 39, 89)(25, 75, 40, 90)(27, 77, 41, 91)(29, 79, 43, 93)(33, 83, 45, 95)(34, 84, 44, 94)(35, 85, 47, 97)(38, 88, 48, 98)(42, 92, 49, 99)(46, 96, 50, 100)(101, 102, 107, 116, 105)(103, 108, 119, 129, 113)(104, 112, 126, 130, 114)(106, 110, 121, 133, 117)(109, 123, 139, 140, 124)(111, 122, 135, 142, 127)(115, 128, 141, 144, 131)(118, 125, 138, 146, 134)(120, 136, 147, 148, 137)(132, 143, 149, 150, 145)(151, 153, 161, 168, 156)(152, 158, 172, 175, 160)(154, 159, 170, 182, 165)(155, 163, 177, 184, 167)(157, 169, 185, 188, 171)(162, 173, 186, 193, 178)(164, 174, 187, 195, 181)(166, 179, 192, 196, 183)(176, 189, 197, 199, 191)(180, 190, 198, 200, 194)
	L = (1, 101)(2, 102)(3, 103)(4, 104)(5, 105)(6, 106)(7, 107)(8, 108)(9, 109)(10, 110)(11, 111)(12, 112)(13, 113)(14, 114)(15, 115)(16, 116)(17, 117)(18, 118)(19, 119)(20, 120)(21, 121)(22, 122)(23, 123)(24, 124)(25, 125)(26, 126)(27, 127)(28, 128)(29, 129)(30, 130)(31, 131)(32, 132)(33, 133)(34, 134)(35, 135)(36, 136)(37, 137)(38, 138)(39, 139)(40, 140)(41, 141)(42, 142)(43, 143)(44, 144)(45, 145)(46, 146)(47, 147)(48, 148)(49, 149)(50, 150)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 40^4 ), ( 40^5 ) }
Outer automorphisms :: reflexible
Dual of E26.559
Graph:: simple bipartite
	v = 45 e = 100 f = 5
	degree seq :: [ 4^25, 5^20 ]

E26.559 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 5, 5, 10})
Quotient :: loop^2
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-1 * Y3 * Y1, (R * Y3)^2, (Y1^-1, Y2^-1), R * Y1 * R * Y2, Y3 * Y2^-1 * Y3^-1 * Y1, Y1^5, Y2^5, Y3 * Y2^-1 * Y3^3 * Y2^-1, (Y3 * Y1^2)^2, Y2 * Y3^-1 * Y2 * Y1^-1 * Y3 * Y1^-1, Y2^-1 * Y1^-2 * Y3^-2 * Y2^-1, Y1 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 51, 101, 151, 4, 54, 104, 154, 17, 67, 117, 167, 32, 82, 132, 182, 9, 59, 109, 159, 31, 81, 131, 181, 21, 71, 121, 171, 47, 97, 147, 197, 25, 75, 125, 175, 7, 57, 107, 157)(2, 52, 102, 152, 10, 60, 110, 160, 33, 83, 133, 183, 49, 99, 149, 199, 26, 76, 126, 176, 24, 74, 124, 174, 6, 56, 106, 156, 18, 68, 118, 168, 37, 87, 137, 187, 12, 62, 112, 162)(3, 53, 103, 153, 14, 64, 114, 164, 41, 91, 141, 191, 50, 100, 150, 200, 30, 80, 130, 180, 22, 72, 122, 172, 5, 55, 105, 155, 19, 69, 119, 169, 45, 95, 145, 195, 16, 66, 116, 166)(8, 58, 108, 158, 27, 77, 127, 177, 23, 73, 123, 173, 46, 96, 146, 196, 43, 93, 143, 193, 36, 86, 136, 186, 11, 61, 111, 161, 34, 84, 134, 184, 39, 89, 139, 189, 29, 79, 129, 179)(13, 63, 113, 163, 38, 88, 138, 188, 20, 70, 120, 170, 48, 98, 148, 198, 35, 85, 135, 185, 44, 94, 144, 194, 15, 65, 115, 165, 42, 92, 142, 192, 28, 78, 128, 178, 40, 90, 140, 190)
	L = (1, 52)(2, 58)(3, 59)(4, 64)(5, 51)(6, 61)(7, 66)(8, 70)(9, 76)(10, 81)(11, 78)(12, 82)(13, 80)(14, 88)(15, 53)(16, 90)(17, 83)(18, 54)(19, 92)(20, 55)(21, 56)(22, 94)(23, 85)(24, 57)(25, 87)(26, 93)(27, 74)(28, 91)(29, 99)(30, 75)(31, 72)(32, 100)(33, 73)(34, 60)(35, 95)(36, 62)(37, 89)(38, 96)(39, 63)(40, 77)(41, 71)(42, 79)(43, 65)(44, 84)(45, 67)(46, 68)(47, 69)(48, 86)(49, 97)(50, 98)(101, 153)(102, 159)(103, 163)(104, 160)(105, 165)(106, 151)(107, 162)(108, 176)(109, 180)(110, 177)(111, 152)(112, 179)(113, 173)(114, 181)(115, 189)(116, 182)(117, 191)(118, 184)(119, 154)(120, 193)(121, 155)(122, 157)(123, 156)(124, 186)(125, 195)(126, 175)(127, 198)(128, 158)(129, 188)(130, 185)(131, 174)(132, 199)(133, 171)(134, 190)(135, 161)(136, 192)(137, 167)(138, 172)(139, 183)(140, 200)(141, 170)(142, 164)(143, 187)(144, 166)(145, 178)(146, 194)(147, 168)(148, 169)(149, 196)(150, 197)
	local type(s) :: { ( 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 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 E26.558
Transitivity :: VT+
Graph::
	v = 5 e = 100 f = 45
	degree seq :: [ 40^5 ]

E26.560 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 5, 5, 10})
Quotient :: loop^2
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y3 * Y2^-1 * Y3, (Y2, Y1), R * Y1 * R * Y2, (R * Y3)^2, Y2^5, Y1^5, Y1^-1 * Y2^-1 * Y3 * Y2 * Y1 * 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 * Y3 * Y1^-1 * Y2^-2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 51, 101, 151, 4, 54, 104, 154)(2, 52, 102, 152, 9, 59, 109, 159)(3, 53, 103, 153, 12, 62, 112, 162)(5, 55, 105, 155, 15, 65, 115, 165)(6, 56, 106, 156, 14, 64, 114, 164)(7, 57, 107, 157, 20, 70, 120, 170)(8, 58, 108, 158, 23, 73, 123, 173)(10, 60, 110, 160, 24, 74, 124, 174)(11, 61, 111, 161, 26, 76, 126, 176)(13, 63, 113, 163, 28, 78, 128, 178)(16, 66, 116, 166, 32, 82, 132, 182)(17, 67, 117, 167, 31, 81, 131, 181)(18, 68, 118, 168, 30, 80, 130, 180)(19, 69, 119, 169, 36, 86, 136, 186)(21, 71, 121, 171, 37, 87, 137, 187)(22, 72, 122, 172, 39, 89, 139, 189)(25, 75, 125, 175, 40, 90, 140, 190)(27, 77, 127, 177, 41, 91, 141, 191)(29, 79, 129, 179, 43, 93, 143, 193)(33, 83, 133, 183, 45, 95, 145, 195)(34, 84, 134, 184, 44, 94, 144, 194)(35, 85, 135, 185, 47, 97, 147, 197)(38, 88, 138, 188, 48, 98, 148, 198)(42, 92, 142, 192, 49, 99, 149, 199)(46, 96, 146, 196, 50, 100, 150, 200)
	L = (1, 52)(2, 57)(3, 58)(4, 62)(5, 51)(6, 60)(7, 66)(8, 69)(9, 73)(10, 71)(11, 72)(12, 76)(13, 53)(14, 54)(15, 78)(16, 55)(17, 56)(18, 75)(19, 79)(20, 86)(21, 83)(22, 85)(23, 89)(24, 59)(25, 88)(26, 80)(27, 61)(28, 91)(29, 63)(30, 64)(31, 65)(32, 93)(33, 67)(34, 68)(35, 92)(36, 97)(37, 70)(38, 96)(39, 90)(40, 74)(41, 94)(42, 77)(43, 99)(44, 81)(45, 82)(46, 84)(47, 98)(48, 87)(49, 100)(50, 95)(101, 153)(102, 158)(103, 161)(104, 159)(105, 163)(106, 151)(107, 169)(108, 172)(109, 170)(110, 152)(111, 168)(112, 173)(113, 177)(114, 174)(115, 154)(116, 179)(117, 155)(118, 156)(119, 185)(120, 182)(121, 157)(122, 175)(123, 186)(124, 187)(125, 160)(126, 189)(127, 184)(128, 162)(129, 192)(130, 190)(131, 164)(132, 165)(133, 166)(134, 167)(135, 188)(136, 193)(137, 195)(138, 171)(139, 197)(140, 198)(141, 176)(142, 196)(143, 178)(144, 180)(145, 181)(146, 183)(147, 199)(148, 200)(149, 191)(150, 194)
	local type(s) :: { ( 5, 20, 5, 20, 5, 20, 5, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.557
Transitivity :: VT+
Graph::
	v = 25 e = 100 f = 25
	degree seq :: [ 8^25 ]

E26.561 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y2)^2, (R * Y3)^2, Y1 * Y3 * Y1 * Y3^-1, (R * Y1)^2, (Y3, Y2), (Y2 * Y1)^2, Y2^5, Y3^5, Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 51, 2, 52)(3, 53, 9, 59)(4, 54, 8, 58)(5, 55, 7, 57)(6, 56, 10, 60)(11, 61, 24, 74)(12, 62, 23, 73)(13, 63, 25, 75)(14, 64, 22, 72)(15, 65, 20, 70)(16, 66, 19, 69)(17, 67, 21, 71)(18, 68, 26, 76)(27, 77, 40, 90)(28, 78, 41, 91)(29, 79, 39, 89)(30, 80, 42, 92)(31, 81, 37, 87)(32, 82, 35, 85)(33, 83, 36, 86)(34, 84, 38, 88)(43, 93, 49, 99)(44, 94, 50, 100)(45, 95, 47, 97)(46, 96, 48, 98)(101, 151, 103, 153, 111, 161, 116, 166, 105, 155)(102, 152, 107, 157, 119, 169, 124, 174, 109, 159)(104, 154, 112, 162, 127, 177, 132, 182, 115, 165)(106, 156, 113, 163, 128, 178, 133, 183, 117, 167)(108, 158, 120, 170, 135, 185, 140, 190, 123, 173)(110, 160, 121, 171, 136, 186, 141, 191, 125, 175)(114, 164, 129, 179, 143, 193, 145, 195, 131, 181)(118, 168, 130, 180, 144, 194, 146, 196, 134, 184)(122, 172, 137, 187, 147, 197, 149, 199, 139, 189)(126, 176, 138, 188, 148, 198, 150, 200, 142, 192)
	L = (1, 104)(2, 108)(3, 112)(4, 114)(5, 115)(6, 101)(7, 120)(8, 122)(9, 123)(10, 102)(11, 127)(12, 129)(13, 103)(14, 118)(15, 131)(16, 132)(17, 105)(18, 106)(19, 135)(20, 137)(21, 107)(22, 126)(23, 139)(24, 140)(25, 109)(26, 110)(27, 143)(28, 111)(29, 130)(30, 113)(31, 134)(32, 145)(33, 116)(34, 117)(35, 147)(36, 119)(37, 138)(38, 121)(39, 142)(40, 149)(41, 124)(42, 125)(43, 144)(44, 128)(45, 146)(46, 133)(47, 148)(48, 136)(49, 150)(50, 141)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.599
Graph:: simple bipartite
	v = 35 e = 100 f = 15
	degree seq :: [ 4^25, 10^10 ]

E26.562 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y1 * Y2 * Y1, (Y2^-1, Y3), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^5, Y3^5, Y3^-1 * Y2^2 * Y1 * Y3^-1 * Y1, Y3 * Y1 * Y3^2 * Y1 * Y3 * Y2, Y2 * Y1 * Y3 * Y2^2 * Y1 * Y3, Y3^-1 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 51, 2, 52)(3, 53, 7, 57)(4, 54, 14, 64)(5, 55, 9, 59)(6, 56, 19, 69)(8, 58, 24, 74)(10, 60, 29, 79)(11, 61, 21, 71)(12, 62, 32, 82)(13, 63, 26, 76)(15, 65, 36, 86)(16, 66, 23, 73)(17, 67, 27, 77)(18, 68, 39, 89)(20, 70, 42, 92)(22, 72, 38, 88)(25, 75, 40, 90)(28, 78, 31, 81)(30, 80, 33, 83)(34, 84, 49, 99)(35, 85, 46, 96)(37, 87, 48, 98)(41, 91, 44, 94)(43, 93, 47, 97)(45, 95, 50, 100)(101, 151, 103, 153, 111, 161, 117, 167, 105, 155)(102, 152, 107, 157, 121, 171, 127, 177, 109, 159)(104, 154, 112, 162, 131, 181, 129, 179, 116, 166)(106, 156, 113, 163, 124, 174, 138, 188, 118, 168)(108, 158, 122, 172, 139, 189, 119, 169, 126, 176)(110, 160, 123, 173, 114, 164, 132, 182, 128, 178)(115, 165, 133, 183, 147, 197, 146, 196, 137, 187)(120, 170, 134, 184, 144, 194, 150, 200, 140, 190)(125, 175, 142, 192, 149, 199, 141, 191, 145, 195)(130, 180, 143, 193, 135, 185, 148, 198, 136, 186)
	L = (1, 104)(2, 108)(3, 112)(4, 115)(5, 116)(6, 101)(7, 122)(8, 125)(9, 126)(10, 102)(11, 131)(12, 133)(13, 103)(14, 121)(15, 120)(16, 137)(17, 129)(18, 105)(19, 141)(20, 106)(21, 139)(22, 142)(23, 107)(24, 111)(25, 130)(26, 145)(27, 119)(28, 109)(29, 146)(30, 110)(31, 147)(32, 127)(33, 134)(34, 113)(35, 114)(36, 128)(37, 140)(38, 117)(39, 149)(40, 118)(41, 148)(42, 143)(43, 123)(44, 124)(45, 136)(46, 150)(47, 144)(48, 132)(49, 135)(50, 138)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.607
Graph:: simple bipartite
	v = 35 e = 100 f = 15
	degree seq :: [ 4^25, 10^10 ]

E26.563 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2^-1), (R * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, (R * Y3)^2, Y3^5, Y2^5, Y2^-1 * Y3 * Y2^-1 * Y1 * Y3^-1 * Y1, Y1 * Y3^2 * Y1 * Y2^-1 * Y3^-2, Y1 * Y2 * Y3 * Y1 * Y2^-2 * Y3^-1, Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 51, 2, 52)(3, 53, 9, 59)(4, 54, 14, 64)(5, 55, 7, 57)(6, 56, 19, 69)(8, 58, 24, 74)(10, 60, 29, 79)(11, 61, 27, 77)(12, 62, 32, 82)(13, 63, 23, 73)(15, 65, 36, 86)(16, 66, 26, 76)(17, 67, 21, 71)(18, 68, 39, 89)(20, 70, 42, 92)(22, 72, 31, 81)(25, 75, 33, 83)(28, 78, 38, 88)(30, 80, 40, 90)(34, 84, 49, 99)(35, 85, 44, 94)(37, 87, 48, 98)(41, 91, 46, 96)(43, 93, 50, 100)(45, 95, 47, 97)(101, 151, 103, 153, 111, 161, 117, 167, 105, 155)(102, 152, 107, 157, 121, 171, 127, 177, 109, 159)(104, 154, 112, 162, 131, 181, 124, 174, 116, 166)(106, 156, 113, 163, 129, 179, 138, 188, 118, 168)(108, 158, 122, 172, 132, 182, 114, 164, 126, 176)(110, 160, 123, 173, 119, 169, 139, 189, 128, 178)(115, 165, 133, 183, 147, 197, 144, 194, 137, 187)(120, 170, 134, 184, 146, 196, 150, 200, 140, 190)(125, 175, 136, 186, 148, 198, 135, 185, 145, 195)(130, 180, 143, 193, 141, 191, 149, 199, 142, 192)
	L = (1, 104)(2, 108)(3, 112)(4, 115)(5, 116)(6, 101)(7, 122)(8, 125)(9, 126)(10, 102)(11, 131)(12, 133)(13, 103)(14, 135)(15, 120)(16, 137)(17, 124)(18, 105)(19, 121)(20, 106)(21, 132)(22, 136)(23, 107)(24, 144)(25, 130)(26, 145)(27, 114)(28, 109)(29, 111)(30, 110)(31, 147)(32, 148)(33, 134)(34, 113)(35, 149)(36, 143)(37, 140)(38, 117)(39, 127)(40, 118)(41, 119)(42, 128)(43, 123)(44, 150)(45, 142)(46, 129)(47, 146)(48, 141)(49, 139)(50, 138)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.603
Graph:: simple bipartite
	v = 35 e = 100 f = 15
	degree seq :: [ 4^25, 10^10 ]

E26.564 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y1 * Y2^-1 * Y1, (Y3, Y2), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^5, Y3^5, Y2^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2^-1, (Y3 * Y2 * Y1)^2, Y2^2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 51, 2, 52)(3, 53, 7, 57)(4, 54, 14, 64)(5, 55, 9, 59)(6, 56, 19, 69)(8, 58, 24, 74)(10, 60, 29, 79)(11, 61, 21, 71)(12, 62, 28, 78)(13, 63, 33, 83)(15, 65, 37, 87)(16, 66, 35, 85)(17, 67, 27, 77)(18, 68, 22, 72)(20, 70, 42, 92)(23, 73, 39, 89)(25, 75, 34, 84)(26, 76, 31, 81)(30, 80, 38, 88)(32, 82, 48, 98)(36, 86, 46, 96)(40, 90, 49, 99)(41, 91, 44, 94)(43, 93, 47, 97)(45, 95, 50, 100)(101, 151, 103, 153, 111, 161, 117, 167, 105, 155)(102, 152, 107, 157, 121, 171, 127, 177, 109, 159)(104, 154, 112, 162, 129, 179, 139, 189, 116, 166)(106, 156, 113, 163, 131, 181, 124, 174, 118, 168)(108, 158, 122, 172, 119, 169, 133, 183, 126, 176)(110, 160, 123, 173, 135, 185, 114, 164, 128, 178)(115, 165, 132, 182, 146, 196, 150, 200, 138, 188)(120, 170, 134, 184, 147, 197, 144, 194, 140, 190)(125, 175, 143, 193, 141, 191, 149, 199, 142, 192)(130, 180, 137, 187, 148, 198, 136, 186, 145, 195)
	L = (1, 104)(2, 108)(3, 112)(4, 115)(5, 116)(6, 101)(7, 122)(8, 125)(9, 126)(10, 102)(11, 129)(12, 132)(13, 103)(14, 127)(15, 120)(16, 138)(17, 139)(18, 105)(19, 141)(20, 106)(21, 119)(22, 143)(23, 107)(24, 117)(25, 130)(26, 142)(27, 133)(28, 109)(29, 146)(30, 110)(31, 111)(32, 134)(33, 149)(34, 113)(35, 121)(36, 114)(37, 123)(38, 140)(39, 150)(40, 118)(41, 148)(42, 145)(43, 137)(44, 124)(45, 128)(46, 147)(47, 131)(48, 135)(49, 136)(50, 144)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.620
Graph:: simple bipartite
	v = 35 e = 100 f = 15
	degree seq :: [ 4^25, 10^10 ]

E26.565 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y1 * Y2^-1)^2, (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y3), (R * Y1)^2, Y3^5, Y2^5, Y1 * Y3 * Y2^2 * Y1 * Y3^-1, Y2^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y2^-1, Y1 * Y2^2 * Y3^-1 * Y1 * Y2^-1 * Y3, Y3^-2 * Y1 * Y3^-2 * 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, 51, 2, 52)(3, 53, 9, 59)(4, 54, 14, 64)(5, 55, 7, 57)(6, 56, 19, 69)(8, 58, 24, 74)(10, 60, 29, 79)(11, 61, 27, 77)(12, 62, 22, 72)(13, 63, 33, 83)(15, 65, 37, 87)(16, 66, 35, 85)(17, 67, 21, 71)(18, 68, 28, 78)(20, 70, 42, 92)(23, 73, 31, 81)(25, 75, 38, 88)(26, 76, 39, 89)(30, 80, 34, 84)(32, 82, 48, 98)(36, 86, 44, 94)(40, 90, 49, 99)(41, 91, 46, 96)(43, 93, 50, 100)(45, 95, 47, 97)(101, 151, 103, 153, 111, 161, 117, 167, 105, 155)(102, 152, 107, 157, 121, 171, 127, 177, 109, 159)(104, 154, 112, 162, 124, 174, 139, 189, 116, 166)(106, 156, 113, 163, 131, 181, 129, 179, 118, 168)(108, 158, 122, 172, 114, 164, 135, 185, 126, 176)(110, 160, 123, 173, 133, 183, 119, 169, 128, 178)(115, 165, 132, 182, 144, 194, 150, 200, 138, 188)(120, 170, 134, 184, 147, 197, 146, 196, 140, 190)(125, 175, 143, 193, 136, 186, 148, 198, 137, 187)(130, 180, 142, 192, 149, 199, 141, 191, 145, 195)
	L = (1, 104)(2, 108)(3, 112)(4, 115)(5, 116)(6, 101)(7, 122)(8, 125)(9, 126)(10, 102)(11, 124)(12, 132)(13, 103)(14, 136)(15, 120)(16, 138)(17, 139)(18, 105)(19, 127)(20, 106)(21, 114)(22, 143)(23, 107)(24, 144)(25, 130)(26, 137)(27, 135)(28, 109)(29, 117)(30, 110)(31, 111)(32, 134)(33, 121)(34, 113)(35, 148)(36, 149)(37, 145)(38, 140)(39, 150)(40, 118)(41, 119)(42, 123)(43, 142)(44, 147)(45, 128)(46, 129)(47, 131)(48, 141)(49, 133)(50, 146)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.622
Graph:: simple bipartite
	v = 35 e = 100 f = 15
	degree seq :: [ 4^25, 10^10 ]

E26.566 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, Y1 * Y2^-1 * Y3^-1 * Y1 * Y3^-1, Y3^5, Y2^5 ]
Map:: non-degenerate
	R = (1, 51, 2, 52)(3, 53, 7, 57)(4, 54, 14, 64)(5, 55, 9, 59)(6, 56, 19, 69)(8, 58, 18, 68)(10, 60, 12, 62)(11, 61, 21, 71)(13, 63, 30, 80)(15, 65, 34, 84)(16, 66, 32, 82)(17, 67, 25, 75)(20, 70, 40, 90)(22, 72, 27, 77)(23, 73, 43, 93)(24, 74, 37, 87)(26, 76, 46, 96)(28, 78, 45, 95)(29, 79, 33, 83)(31, 81, 48, 98)(35, 85, 49, 99)(36, 86, 41, 91)(38, 88, 39, 89)(42, 92, 50, 100)(44, 94, 47, 97)(101, 151, 103, 153, 111, 161, 117, 167, 105, 155)(102, 152, 107, 157, 121, 171, 125, 175, 109, 159)(104, 154, 112, 162, 127, 177, 136, 186, 116, 166)(106, 156, 113, 163, 128, 178, 137, 187, 118, 168)(108, 158, 119, 169, 130, 180, 145, 195, 124, 174)(110, 160, 122, 172, 141, 191, 132, 182, 114, 164)(115, 165, 129, 179, 146, 196, 150, 200, 135, 185)(120, 170, 131, 181, 147, 197, 143, 193, 138, 188)(123, 173, 139, 189, 140, 190, 148, 198, 144, 194)(126, 176, 142, 192, 149, 199, 134, 184, 133, 183)
	L = (1, 104)(2, 108)(3, 112)(4, 115)(5, 116)(6, 101)(7, 119)(8, 123)(9, 124)(10, 102)(11, 127)(12, 129)(13, 103)(14, 109)(15, 120)(16, 135)(17, 136)(18, 105)(19, 139)(20, 106)(21, 130)(22, 107)(23, 126)(24, 144)(25, 145)(26, 110)(27, 146)(28, 111)(29, 131)(30, 140)(31, 113)(32, 125)(33, 114)(34, 132)(35, 138)(36, 150)(37, 117)(38, 118)(39, 142)(40, 149)(41, 121)(42, 122)(43, 137)(44, 133)(45, 148)(46, 147)(47, 128)(48, 134)(49, 141)(50, 143)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.618
Graph:: simple bipartite
	v = 35 e = 100 f = 15
	degree seq :: [ 4^25, 10^10 ]

E26.567 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y2)^2, (Y3, Y2^-1), (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y1)^2, Y1 * Y2^-1 * Y3^-1 * Y1 * Y3, Y2^5, Y3^5, Y2^2 * Y3^2 * Y1 * Y3^-2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 51, 2, 52)(3, 53, 9, 59)(4, 54, 14, 64)(5, 55, 7, 57)(6, 56, 19, 69)(8, 58, 12, 62)(10, 60, 18, 68)(11, 61, 25, 75)(13, 63, 30, 80)(15, 65, 34, 84)(16, 66, 32, 82)(17, 67, 21, 71)(20, 70, 40, 90)(22, 72, 37, 87)(23, 73, 43, 93)(24, 74, 27, 77)(26, 76, 46, 96)(28, 78, 41, 91)(29, 79, 33, 83)(31, 81, 48, 98)(35, 85, 49, 99)(36, 86, 45, 95)(38, 88, 39, 89)(42, 92, 47, 97)(44, 94, 50, 100)(101, 151, 103, 153, 111, 161, 117, 167, 105, 155)(102, 152, 107, 157, 121, 171, 125, 175, 109, 159)(104, 154, 112, 162, 127, 177, 136, 186, 116, 166)(106, 156, 113, 163, 128, 178, 137, 187, 118, 168)(108, 158, 114, 164, 132, 182, 145, 195, 124, 174)(110, 160, 122, 172, 141, 191, 130, 180, 119, 169)(115, 165, 129, 179, 143, 193, 150, 200, 135, 185)(120, 170, 131, 181, 147, 197, 146, 196, 138, 188)(123, 173, 133, 183, 134, 184, 149, 199, 144, 194)(126, 176, 142, 192, 148, 198, 140, 190, 139, 189)
	L = (1, 104)(2, 108)(3, 112)(4, 115)(5, 116)(6, 101)(7, 114)(8, 123)(9, 124)(10, 102)(11, 127)(12, 129)(13, 103)(14, 133)(15, 120)(16, 135)(17, 136)(18, 105)(19, 109)(20, 106)(21, 132)(22, 107)(23, 126)(24, 144)(25, 145)(26, 110)(27, 143)(28, 111)(29, 131)(30, 125)(31, 113)(32, 134)(33, 142)(34, 148)(35, 138)(36, 150)(37, 117)(38, 118)(39, 119)(40, 130)(41, 121)(42, 122)(43, 147)(44, 139)(45, 149)(46, 137)(47, 128)(48, 141)(49, 140)(50, 146)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.621
Graph:: simple bipartite
	v = 35 e = 100 f = 15
	degree seq :: [ 4^25, 10^10 ]

E26.568 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (Y3, Y2), (R * Y3)^2, (R * Y2)^2, Y2^-1 * Y1 * Y2 * Y1, Y1 * Y3 * Y1 * Y2^-1 * Y3, Y2^5, Y3^5 ]
Map:: non-degenerate
	R = (1, 51, 2, 52)(3, 53, 7, 57)(4, 54, 14, 64)(5, 55, 9, 59)(6, 56, 19, 69)(8, 58, 13, 63)(10, 60, 16, 66)(11, 61, 21, 71)(12, 62, 29, 79)(15, 65, 33, 83)(17, 67, 24, 74)(18, 68, 37, 87)(20, 70, 40, 90)(22, 72, 28, 78)(23, 73, 43, 93)(25, 75, 35, 85)(26, 76, 46, 96)(27, 77, 44, 94)(30, 80, 48, 98)(31, 81, 39, 89)(32, 82, 34, 84)(36, 86, 41, 91)(38, 88, 49, 99)(42, 92, 50, 100)(45, 95, 47, 97)(101, 151, 103, 153, 111, 161, 117, 167, 105, 155)(102, 152, 107, 157, 121, 171, 124, 174, 109, 159)(104, 154, 112, 162, 127, 177, 135, 185, 116, 166)(106, 156, 113, 163, 128, 178, 136, 186, 118, 168)(108, 158, 122, 172, 141, 191, 137, 187, 119, 169)(110, 160, 114, 164, 129, 179, 144, 194, 125, 175)(115, 165, 130, 180, 147, 197, 146, 196, 134, 184)(120, 170, 131, 181, 143, 193, 150, 200, 138, 188)(123, 173, 142, 192, 149, 199, 140, 190, 139, 189)(126, 176, 132, 182, 133, 183, 148, 198, 145, 195)
	L = (1, 104)(2, 108)(3, 112)(4, 115)(5, 116)(6, 101)(7, 122)(8, 123)(9, 119)(10, 102)(11, 127)(12, 130)(13, 103)(14, 107)(15, 120)(16, 134)(17, 135)(18, 105)(19, 139)(20, 106)(21, 141)(22, 142)(23, 126)(24, 137)(25, 109)(26, 110)(27, 147)(28, 111)(29, 121)(30, 131)(31, 113)(32, 114)(33, 129)(34, 138)(35, 146)(36, 117)(37, 140)(38, 118)(39, 145)(40, 148)(41, 149)(42, 132)(43, 128)(44, 124)(45, 125)(46, 150)(47, 143)(48, 144)(49, 133)(50, 136)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.611
Graph:: simple bipartite
	v = 35 e = 100 f = 15
	degree seq :: [ 4^25, 10^10 ]

E26.569 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (Y3, Y2), (R * Y3)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, Y1 * Y3^-1 * Y1 * Y2^-1 * Y3, Y3^5, Y2^5 ]
Map:: polytopal non-degenerate
	R = (1, 51, 2, 52)(3, 53, 9, 59)(4, 54, 14, 64)(5, 55, 7, 57)(6, 56, 19, 69)(8, 58, 16, 66)(10, 60, 13, 63)(11, 61, 24, 74)(12, 62, 29, 79)(15, 65, 33, 83)(17, 67, 21, 71)(18, 68, 37, 87)(20, 70, 40, 90)(22, 72, 35, 85)(23, 73, 43, 93)(25, 75, 28, 78)(26, 76, 46, 96)(27, 77, 41, 91)(30, 80, 48, 98)(31, 81, 39, 89)(32, 82, 34, 84)(36, 86, 44, 94)(38, 88, 49, 99)(42, 92, 47, 97)(45, 95, 50, 100)(101, 151, 103, 153, 111, 161, 117, 167, 105, 155)(102, 152, 107, 157, 121, 171, 124, 174, 109, 159)(104, 154, 112, 162, 127, 177, 135, 185, 116, 166)(106, 156, 113, 163, 128, 178, 136, 186, 118, 168)(108, 158, 122, 172, 141, 191, 129, 179, 114, 164)(110, 160, 119, 169, 137, 187, 144, 194, 125, 175)(115, 165, 130, 180, 147, 197, 143, 193, 134, 184)(120, 170, 131, 181, 146, 196, 150, 200, 138, 188)(123, 173, 142, 192, 148, 198, 133, 183, 132, 182)(126, 176, 139, 189, 140, 190, 149, 199, 145, 195)
	L = (1, 104)(2, 108)(3, 112)(4, 115)(5, 116)(6, 101)(7, 122)(8, 123)(9, 114)(10, 102)(11, 127)(12, 130)(13, 103)(14, 132)(15, 120)(16, 134)(17, 135)(18, 105)(19, 107)(20, 106)(21, 141)(22, 142)(23, 126)(24, 129)(25, 109)(26, 110)(27, 147)(28, 111)(29, 133)(30, 131)(31, 113)(32, 145)(33, 149)(34, 138)(35, 143)(36, 117)(37, 121)(38, 118)(39, 119)(40, 137)(41, 148)(42, 139)(43, 150)(44, 124)(45, 125)(46, 128)(47, 146)(48, 140)(49, 144)(50, 136)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.612
Graph:: simple bipartite
	v = 35 e = 100 f = 15
	degree seq :: [ 4^25, 10^10 ]

E26.570 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2^-1, Y3^-1), Y3 * Y1 * Y3^-1 * Y1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^5, Y2^5, (Y2^-1 * Y3 * Y1)^2, Y1 * Y2 * Y3^-2 * Y1 * Y2, Y3^2 * Y2 * Y3 * Y1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 51, 2, 52)(3, 53, 11, 61)(4, 54, 8, 58)(5, 55, 17, 67)(6, 56, 10, 60)(7, 57, 21, 71)(9, 59, 27, 77)(12, 62, 33, 83)(13, 63, 31, 81)(14, 64, 26, 76)(15, 65, 25, 75)(16, 66, 24, 74)(18, 68, 40, 90)(19, 69, 39, 89)(20, 70, 30, 80)(22, 72, 41, 91)(23, 73, 42, 92)(28, 78, 34, 84)(29, 79, 36, 86)(32, 82, 46, 96)(35, 85, 47, 97)(37, 87, 48, 98)(38, 88, 43, 93)(44, 94, 50, 100)(45, 95, 49, 99)(101, 151, 103, 153, 112, 162, 118, 168, 105, 155)(102, 152, 107, 157, 122, 172, 128, 178, 109, 159)(104, 154, 113, 163, 134, 184, 137, 187, 116, 166)(106, 156, 114, 164, 135, 185, 141, 191, 119, 169)(108, 158, 123, 173, 140, 190, 145, 195, 126, 176)(110, 160, 124, 174, 144, 194, 133, 183, 129, 179)(111, 161, 125, 175, 139, 189, 148, 198, 132, 182)(115, 165, 136, 186, 149, 199, 143, 193, 121, 171)(117, 167, 138, 188, 147, 197, 131, 181, 130, 180)(120, 170, 127, 177, 146, 196, 150, 200, 142, 192)
	L = (1, 104)(2, 108)(3, 113)(4, 115)(5, 116)(6, 101)(7, 123)(8, 125)(9, 126)(10, 102)(11, 131)(12, 134)(13, 136)(14, 103)(15, 120)(16, 121)(17, 124)(18, 137)(19, 105)(20, 106)(21, 142)(22, 140)(23, 139)(24, 107)(25, 130)(26, 111)(27, 114)(28, 145)(29, 109)(30, 110)(31, 129)(32, 147)(33, 128)(34, 149)(35, 112)(36, 127)(37, 143)(38, 144)(39, 117)(40, 148)(41, 118)(42, 119)(43, 150)(44, 122)(45, 132)(46, 135)(47, 133)(48, 138)(49, 146)(50, 141)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.597
Graph:: simple bipartite
	v = 35 e = 100 f = 15
	degree seq :: [ 4^25, 10^10 ]

E26.571 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2^-1, Y3^-1), Y3^-1 * Y1 * Y3 * Y1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^5, Y3^5, Y2 * Y1 * Y2 * Y3^2 * Y1, Y2^-1 * Y3^-2 * Y1 * Y2^-1 * Y1, Y3^2 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1, Y1 * Y2 * Y3^-1 * Y1 * Y3^-2 * Y2 ]
Map:: non-degenerate
	R = (1, 51, 2, 52)(3, 53, 11, 61)(4, 54, 8, 58)(5, 55, 17, 67)(6, 56, 10, 60)(7, 57, 21, 71)(9, 59, 27, 77)(12, 62, 33, 83)(13, 63, 29, 79)(14, 64, 32, 82)(15, 65, 25, 75)(16, 66, 38, 88)(18, 68, 41, 91)(19, 69, 23, 73)(20, 70, 30, 80)(22, 72, 39, 89)(24, 74, 37, 87)(26, 76, 36, 86)(28, 78, 35, 85)(31, 81, 45, 95)(34, 84, 48, 98)(40, 90, 43, 93)(42, 92, 47, 97)(44, 94, 50, 100)(46, 96, 49, 99)(101, 151, 103, 153, 112, 162, 118, 168, 105, 155)(102, 152, 107, 157, 122, 172, 128, 178, 109, 159)(104, 154, 113, 163, 134, 184, 139, 189, 116, 166)(106, 156, 114, 164, 135, 185, 142, 192, 119, 169)(108, 158, 123, 173, 144, 194, 133, 183, 126, 176)(110, 160, 124, 174, 141, 191, 146, 196, 129, 179)(111, 161, 130, 180, 138, 188, 147, 197, 131, 181)(115, 165, 127, 177, 145, 195, 150, 200, 137, 187)(117, 167, 140, 190, 148, 198, 132, 182, 125, 175)(120, 170, 136, 186, 149, 199, 143, 193, 121, 171)
	L = (1, 104)(2, 108)(3, 113)(4, 115)(5, 116)(6, 101)(7, 123)(8, 125)(9, 126)(10, 102)(11, 129)(12, 134)(13, 127)(14, 103)(15, 120)(16, 137)(17, 138)(18, 139)(19, 105)(20, 106)(21, 119)(22, 144)(23, 117)(24, 107)(25, 130)(26, 132)(27, 136)(28, 133)(29, 109)(30, 110)(31, 146)(32, 111)(33, 148)(34, 145)(35, 112)(36, 114)(37, 121)(38, 124)(39, 150)(40, 147)(41, 122)(42, 118)(43, 142)(44, 140)(45, 149)(46, 128)(47, 141)(48, 131)(49, 135)(50, 143)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.601
Graph:: simple bipartite
	v = 35 e = 100 f = 15
	degree seq :: [ 4^25, 10^10 ]

E26.572 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3, Y2), Y3^-1 * Y1 * Y3 * Y1, Y1 * Y3^-1 * Y2 * Y1 * Y2, Y3^5, Y2^5, (Y3 * Y2 * Y1 * Y3)^2 ]
Map:: non-degenerate
	R = (1, 51, 2, 52)(3, 53, 11, 61)(4, 54, 8, 58)(5, 55, 17, 67)(6, 56, 10, 60)(7, 57, 16, 66)(9, 59, 14, 64)(12, 62, 29, 79)(13, 63, 27, 77)(15, 65, 23, 73)(18, 68, 38, 88)(19, 69, 37, 87)(20, 70, 26, 76)(21, 71, 41, 91)(22, 72, 34, 84)(24, 74, 44, 94)(25, 75, 33, 83)(28, 78, 31, 81)(30, 80, 47, 97)(32, 82, 46, 96)(35, 85, 36, 86)(39, 89, 48, 98)(40, 90, 43, 93)(42, 92, 50, 100)(45, 95, 49, 99)(101, 151, 103, 153, 112, 162, 118, 168, 105, 155)(102, 152, 107, 157, 121, 171, 124, 174, 109, 159)(104, 154, 113, 163, 130, 180, 135, 185, 116, 166)(106, 156, 114, 164, 131, 181, 139, 189, 119, 169)(108, 158, 122, 172, 142, 192, 128, 178, 111, 161)(110, 160, 117, 167, 136, 186, 145, 195, 125, 175)(115, 165, 132, 182, 149, 199, 141, 191, 134, 184)(120, 170, 133, 183, 144, 194, 150, 200, 140, 190)(123, 173, 143, 193, 148, 198, 129, 179, 127, 177)(126, 176, 137, 187, 138, 188, 147, 197, 146, 196)
	L = (1, 104)(2, 108)(3, 113)(4, 115)(5, 116)(6, 101)(7, 122)(8, 123)(9, 111)(10, 102)(11, 127)(12, 130)(13, 132)(14, 103)(15, 120)(16, 134)(17, 107)(18, 135)(19, 105)(20, 106)(21, 142)(22, 143)(23, 126)(24, 128)(25, 109)(26, 110)(27, 146)(28, 129)(29, 147)(30, 149)(31, 112)(32, 133)(33, 114)(34, 140)(35, 141)(36, 121)(37, 117)(38, 136)(39, 118)(40, 119)(41, 150)(42, 148)(43, 137)(44, 131)(45, 124)(46, 125)(47, 145)(48, 138)(49, 144)(50, 139)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.600
Graph:: simple bipartite
	v = 35 e = 100 f = 15
	degree seq :: [ 4^25, 10^10 ]

E26.573 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (Y3, Y2^-1), (R * Y3)^2, (R * Y2)^2, Y3^-1 * Y1 * Y3 * Y1, Y1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1, Y2^5, Y3^5, Y3^-1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-2 * Y1 ]
Map:: non-degenerate
	R = (1, 51, 2, 52)(3, 53, 11, 61)(4, 54, 8, 58)(5, 55, 17, 67)(6, 56, 10, 60)(7, 57, 19, 69)(9, 59, 13, 63)(12, 62, 29, 79)(14, 64, 28, 78)(15, 65, 23, 73)(16, 66, 35, 85)(18, 68, 38, 88)(20, 70, 26, 76)(21, 71, 41, 91)(22, 72, 40, 90)(24, 74, 32, 82)(25, 75, 46, 96)(27, 77, 30, 80)(31, 81, 48, 98)(33, 83, 44, 94)(34, 84, 43, 93)(36, 86, 47, 97)(37, 87, 39, 89)(42, 92, 50, 100)(45, 95, 49, 99)(101, 151, 103, 153, 112, 162, 118, 168, 105, 155)(102, 152, 107, 157, 121, 171, 125, 175, 109, 159)(104, 154, 113, 163, 130, 180, 136, 186, 116, 166)(106, 156, 114, 164, 131, 181, 139, 189, 119, 169)(108, 158, 117, 167, 137, 187, 145, 195, 124, 174)(110, 160, 122, 172, 142, 192, 127, 177, 111, 161)(115, 165, 132, 182, 146, 196, 150, 200, 134, 184)(120, 170, 133, 183, 149, 199, 141, 191, 140, 190)(123, 173, 135, 185, 138, 188, 148, 198, 144, 194)(126, 176, 143, 193, 147, 197, 129, 179, 128, 178)
	L = (1, 104)(2, 108)(3, 113)(4, 115)(5, 116)(6, 101)(7, 117)(8, 123)(9, 124)(10, 102)(11, 109)(12, 130)(13, 132)(14, 103)(15, 120)(16, 134)(17, 135)(18, 136)(19, 105)(20, 106)(21, 137)(22, 107)(23, 126)(24, 144)(25, 145)(26, 110)(27, 125)(28, 111)(29, 127)(30, 146)(31, 112)(32, 133)(33, 114)(34, 140)(35, 143)(36, 150)(37, 138)(38, 147)(39, 118)(40, 119)(41, 139)(42, 121)(43, 122)(44, 128)(45, 148)(46, 149)(47, 142)(48, 129)(49, 131)(50, 141)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.598
Graph:: simple bipartite
	v = 35 e = 100 f = 15
	degree seq :: [ 4^25, 10^10 ]

E26.574 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y2)^2, Y2 * Y1 * Y3^-1 * Y1, (R * Y1)^2, (Y3, Y2), (R * Y3)^2, Y3^5, Y2^5, Y2 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 51, 2, 52)(3, 53, 8, 58)(4, 54, 7, 57)(5, 55, 10, 60)(6, 56, 9, 59)(11, 61, 22, 72)(12, 62, 20, 70)(13, 63, 23, 73)(14, 64, 19, 69)(15, 65, 21, 71)(16, 66, 26, 76)(17, 67, 25, 75)(18, 68, 24, 74)(27, 77, 37, 87)(28, 78, 39, 89)(29, 79, 35, 85)(30, 80, 40, 90)(31, 81, 36, 86)(32, 82, 38, 88)(33, 83, 42, 92)(34, 84, 41, 91)(43, 93, 47, 97)(44, 94, 49, 99)(45, 95, 48, 98)(46, 96, 50, 100)(101, 151, 103, 153, 111, 161, 116, 166, 105, 155)(102, 152, 107, 157, 119, 169, 124, 174, 109, 159)(104, 154, 112, 162, 127, 177, 132, 182, 115, 165)(106, 156, 113, 163, 128, 178, 133, 183, 117, 167)(108, 158, 120, 170, 135, 185, 140, 190, 123, 173)(110, 160, 121, 171, 136, 186, 141, 191, 125, 175)(114, 164, 129, 179, 143, 193, 145, 195, 131, 181)(118, 168, 130, 180, 144, 194, 146, 196, 134, 184)(122, 172, 137, 187, 147, 197, 149, 199, 139, 189)(126, 176, 138, 188, 148, 198, 150, 200, 142, 192)
	L = (1, 104)(2, 108)(3, 112)(4, 114)(5, 115)(6, 101)(7, 120)(8, 122)(9, 123)(10, 102)(11, 127)(12, 129)(13, 103)(14, 118)(15, 131)(16, 132)(17, 105)(18, 106)(19, 135)(20, 137)(21, 107)(22, 126)(23, 139)(24, 140)(25, 109)(26, 110)(27, 143)(28, 111)(29, 130)(30, 113)(31, 134)(32, 145)(33, 116)(34, 117)(35, 147)(36, 119)(37, 138)(38, 121)(39, 142)(40, 149)(41, 124)(42, 125)(43, 144)(44, 128)(45, 146)(46, 133)(47, 148)(48, 136)(49, 150)(50, 141)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.609
Graph:: simple bipartite
	v = 35 e = 100 f = 15
	degree seq :: [ 4^25, 10^10 ]

E26.575 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y2)^2, Y2^-1 * Y1 * Y3^-1 * Y1, (R * Y1)^2, (Y3, Y2), (R * Y3)^2, Y2^5, Y3^5, Y2 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 51, 2, 52)(3, 53, 10, 60)(4, 54, 9, 59)(5, 55, 8, 58)(6, 56, 7, 57)(11, 61, 26, 76)(12, 62, 25, 75)(13, 63, 21, 71)(14, 64, 24, 74)(15, 65, 23, 73)(16, 66, 22, 72)(17, 67, 20, 70)(18, 68, 19, 69)(27, 77, 42, 92)(28, 78, 38, 88)(29, 79, 41, 91)(30, 80, 36, 86)(31, 81, 40, 90)(32, 82, 39, 89)(33, 83, 37, 87)(34, 84, 35, 85)(43, 93, 50, 100)(44, 94, 48, 98)(45, 95, 49, 99)(46, 96, 47, 97)(101, 151, 103, 153, 111, 161, 116, 166, 105, 155)(102, 152, 107, 157, 119, 169, 124, 174, 109, 159)(104, 154, 112, 162, 127, 177, 132, 182, 115, 165)(106, 156, 113, 163, 128, 178, 133, 183, 117, 167)(108, 158, 120, 170, 135, 185, 140, 190, 123, 173)(110, 160, 121, 171, 136, 186, 141, 191, 125, 175)(114, 164, 129, 179, 143, 193, 145, 195, 131, 181)(118, 168, 130, 180, 144, 194, 146, 196, 134, 184)(122, 172, 137, 187, 147, 197, 149, 199, 139, 189)(126, 176, 138, 188, 148, 198, 150, 200, 142, 192)
	L = (1, 104)(2, 108)(3, 112)(4, 114)(5, 115)(6, 101)(7, 120)(8, 122)(9, 123)(10, 102)(11, 127)(12, 129)(13, 103)(14, 118)(15, 131)(16, 132)(17, 105)(18, 106)(19, 135)(20, 137)(21, 107)(22, 126)(23, 139)(24, 140)(25, 109)(26, 110)(27, 143)(28, 111)(29, 130)(30, 113)(31, 134)(32, 145)(33, 116)(34, 117)(35, 147)(36, 119)(37, 138)(38, 121)(39, 142)(40, 149)(41, 124)(42, 125)(43, 144)(44, 128)(45, 146)(46, 133)(47, 148)(48, 136)(49, 150)(50, 141)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.605
Graph:: simple bipartite
	v = 35 e = 100 f = 15
	degree seq :: [ 4^25, 10^10 ]

E26.576 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2, R * Y2 * R * Y3^-1, (R * Y1)^2, Y2^5, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2 * Y1 * Y3 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y1, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, (Y3 * Y2^-1)^5, Y2^2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1, Y3^-2 * Y1 * Y3^-3 * Y1 * Y3^-3 * Y1 * Y3^-2 * Y1 ]
Map:: non-degenerate
	R = (1, 51, 2, 52)(3, 53, 7, 57)(4, 54, 9, 59)(5, 55, 11, 61)(6, 56, 13, 63)(8, 58, 17, 67)(10, 60, 20, 70)(12, 62, 23, 73)(14, 64, 26, 76)(15, 65, 21, 71)(16, 66, 24, 74)(18, 68, 22, 72)(19, 69, 25, 75)(27, 77, 37, 87)(28, 78, 41, 91)(29, 79, 35, 85)(30, 80, 39, 89)(31, 81, 38, 88)(32, 82, 42, 92)(33, 83, 36, 86)(34, 84, 40, 90)(43, 93, 47, 97)(44, 94, 49, 99)(45, 95, 48, 98)(46, 96, 50, 100)(101, 151, 103, 153, 108, 158, 110, 160, 104, 154)(102, 152, 105, 155, 112, 162, 114, 164, 106, 156)(107, 157, 115, 165, 127, 177, 128, 178, 116, 166)(109, 159, 118, 168, 131, 181, 132, 182, 119, 169)(111, 161, 121, 171, 135, 185, 136, 186, 122, 172)(113, 163, 124, 174, 139, 189, 140, 190, 125, 175)(117, 167, 129, 179, 143, 193, 144, 194, 130, 180)(120, 170, 133, 183, 145, 195, 146, 196, 134, 184)(123, 173, 137, 187, 147, 197, 148, 198, 138, 188)(126, 176, 141, 191, 149, 199, 150, 200, 142, 192)
	L = (1, 104)(2, 106)(3, 101)(4, 110)(5, 102)(6, 114)(7, 116)(8, 103)(9, 119)(10, 108)(11, 122)(12, 105)(13, 125)(14, 112)(15, 107)(16, 128)(17, 130)(18, 109)(19, 132)(20, 134)(21, 111)(22, 136)(23, 138)(24, 113)(25, 140)(26, 142)(27, 115)(28, 127)(29, 117)(30, 144)(31, 118)(32, 131)(33, 120)(34, 146)(35, 121)(36, 135)(37, 123)(38, 148)(39, 124)(40, 139)(41, 126)(42, 150)(43, 129)(44, 143)(45, 133)(46, 145)(47, 137)(48, 147)(49, 141)(50, 149)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.616
Graph:: bipartite
	v = 35 e = 100 f = 15
	degree seq :: [ 4^25, 10^10 ]

E26.577 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^2, Y2 * Y3^-1 * Y2, (Y2 * R)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2, Y2 * Y1 * Y3 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y1, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 51, 2, 52)(3, 53, 11, 61)(4, 54, 12, 62)(5, 55, 13, 63)(6, 56, 14, 64)(7, 57, 15, 65)(8, 58, 16, 66)(9, 59, 17, 67)(10, 60, 18, 68)(19, 69, 35, 85)(20, 70, 39, 89)(21, 71, 43, 93)(22, 72, 47, 97)(23, 73, 36, 86)(24, 74, 40, 90)(25, 75, 44, 94)(26, 76, 48, 98)(27, 77, 37, 87)(28, 78, 41, 91)(29, 79, 45, 95)(30, 80, 49, 99)(31, 81, 38, 88)(32, 82, 42, 92)(33, 83, 46, 96)(34, 84, 50, 100)(101, 151, 103, 153, 104, 154, 106, 156, 105, 155)(102, 152, 107, 157, 108, 158, 110, 160, 109, 159)(111, 161, 119, 169, 120, 170, 122, 172, 121, 171)(112, 162, 123, 173, 124, 174, 126, 176, 125, 175)(113, 163, 127, 177, 128, 178, 130, 180, 129, 179)(114, 164, 131, 181, 132, 182, 134, 184, 133, 183)(115, 165, 135, 185, 136, 186, 138, 188, 137, 187)(116, 166, 139, 189, 140, 190, 142, 192, 141, 191)(117, 167, 143, 193, 144, 194, 146, 196, 145, 195)(118, 168, 147, 197, 148, 198, 150, 200, 149, 199)
	L = (1, 104)(2, 108)(3, 106)(4, 105)(5, 103)(6, 101)(7, 110)(8, 109)(9, 107)(10, 102)(11, 120)(12, 124)(13, 128)(14, 132)(15, 136)(16, 140)(17, 144)(18, 148)(19, 122)(20, 121)(21, 119)(22, 111)(23, 126)(24, 125)(25, 123)(26, 112)(27, 130)(28, 129)(29, 127)(30, 113)(31, 134)(32, 133)(33, 131)(34, 114)(35, 138)(36, 137)(37, 135)(38, 115)(39, 142)(40, 141)(41, 139)(42, 116)(43, 146)(44, 145)(45, 143)(46, 117)(47, 150)(48, 149)(49, 147)(50, 118)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.613
Graph:: bipartite
	v = 35 e = 100 f = 15
	degree seq :: [ 4^25, 10^10 ]

E26.578 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, Y2^5, Y3^5, Y1 * Y2^-2 * Y1 * Y3, Y1 * Y2^2 * Y1 * Y3^-1, Y1 * Y2^-1 * Y1 * Y3^-2, Y1 * Y3^2 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 51, 2, 52)(3, 53, 11, 61)(4, 54, 15, 65)(5, 55, 18, 68)(6, 56, 21, 71)(7, 57, 22, 72)(8, 58, 12, 62)(9, 59, 16, 66)(10, 60, 19, 69)(13, 63, 31, 81)(14, 64, 33, 83)(17, 67, 38, 88)(20, 70, 43, 93)(23, 73, 47, 97)(24, 74, 48, 98)(25, 75, 49, 99)(26, 76, 50, 100)(27, 77, 34, 84)(28, 78, 32, 82)(29, 79, 35, 85)(30, 80, 45, 95)(36, 86, 39, 89)(37, 87, 41, 91)(40, 90, 44, 94)(42, 92, 46, 96)(101, 151, 103, 153, 112, 162, 119, 169, 105, 155)(102, 152, 107, 157, 115, 165, 121, 171, 109, 159)(104, 154, 113, 163, 129, 179, 139, 189, 117, 167)(106, 156, 114, 164, 130, 180, 142, 192, 120, 170)(108, 158, 123, 173, 135, 185, 145, 195, 125, 175)(110, 160, 124, 174, 136, 186, 146, 196, 126, 176)(111, 161, 127, 177, 131, 181, 133, 183, 128, 178)(116, 166, 132, 182, 149, 199, 150, 200, 137, 187)(118, 168, 140, 190, 138, 188, 143, 193, 141, 191)(122, 172, 134, 184, 147, 197, 148, 198, 144, 194)
	L = (1, 104)(2, 108)(3, 113)(4, 116)(5, 117)(6, 101)(7, 123)(8, 118)(9, 125)(10, 102)(11, 110)(12, 129)(13, 132)(14, 103)(15, 135)(16, 122)(17, 137)(18, 111)(19, 139)(20, 105)(21, 145)(22, 106)(23, 140)(24, 107)(25, 141)(26, 109)(27, 124)(28, 126)(29, 149)(30, 112)(31, 136)(32, 134)(33, 146)(34, 114)(35, 138)(36, 115)(37, 144)(38, 131)(39, 150)(40, 127)(41, 128)(42, 119)(43, 133)(44, 120)(45, 143)(46, 121)(47, 130)(48, 142)(49, 147)(50, 148)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.617
Graph:: simple bipartite
	v = 35 e = 100 f = 15
	degree seq :: [ 4^25, 10^10 ]

E26.579 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, Y1 * Y2^2 * Y1 * Y3, Y1 * Y2 * Y1 * Y3^-2, Y2^5, Y1 * Y2^-2 * Y1 * Y3^-1, Y3^5, Y1 * Y3^2 * Y1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 51, 2, 52)(3, 53, 11, 61)(4, 54, 15, 65)(5, 55, 18, 68)(6, 56, 21, 71)(7, 57, 16, 66)(8, 58, 19, 69)(9, 59, 22, 72)(10, 60, 12, 62)(13, 63, 31, 81)(14, 64, 33, 83)(17, 67, 38, 88)(20, 70, 43, 93)(23, 73, 47, 97)(24, 74, 48, 98)(25, 75, 49, 99)(26, 76, 50, 100)(27, 77, 32, 82)(28, 78, 34, 84)(29, 79, 36, 86)(30, 80, 46, 96)(35, 85, 39, 89)(37, 87, 40, 90)(41, 91, 44, 94)(42, 92, 45, 95)(101, 151, 103, 153, 112, 162, 119, 169, 105, 155)(102, 152, 107, 157, 121, 171, 115, 165, 109, 159)(104, 154, 113, 163, 129, 179, 139, 189, 117, 167)(106, 156, 114, 164, 130, 180, 142, 192, 120, 170)(108, 158, 123, 173, 145, 195, 135, 185, 125, 175)(110, 160, 124, 174, 146, 196, 136, 186, 126, 176)(111, 161, 127, 177, 133, 183, 131, 181, 128, 178)(116, 166, 132, 182, 148, 198, 147, 197, 137, 187)(118, 168, 140, 190, 143, 193, 138, 188, 141, 191)(122, 172, 134, 184, 150, 200, 149, 199, 144, 194)
	L = (1, 104)(2, 108)(3, 113)(4, 116)(5, 117)(6, 101)(7, 123)(8, 111)(9, 125)(10, 102)(11, 118)(12, 129)(13, 132)(14, 103)(15, 135)(16, 122)(17, 137)(18, 110)(19, 139)(20, 105)(21, 145)(22, 106)(23, 127)(24, 107)(25, 128)(26, 109)(27, 140)(28, 141)(29, 148)(30, 112)(31, 138)(32, 134)(33, 143)(34, 114)(35, 131)(36, 115)(37, 144)(38, 136)(39, 147)(40, 124)(41, 126)(42, 119)(43, 146)(44, 120)(45, 133)(46, 121)(47, 149)(48, 150)(49, 142)(50, 130)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.623
Graph:: simple bipartite
	v = 35 e = 100 f = 15
	degree seq :: [ 4^25, 10^10 ]

E26.580 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3 * Y2, Y2 * Y3^-2, (Y2 * R)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1, Y2 * Y1 * Y3 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y1, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 51, 2, 52)(3, 53, 11, 61)(4, 54, 12, 62)(5, 55, 13, 63)(6, 56, 14, 64)(7, 57, 15, 65)(8, 58, 16, 66)(9, 59, 17, 67)(10, 60, 18, 68)(19, 69, 35, 85)(20, 70, 39, 89)(21, 71, 43, 93)(22, 72, 47, 97)(23, 73, 36, 86)(24, 74, 40, 90)(25, 75, 44, 94)(26, 76, 48, 98)(27, 77, 37, 87)(28, 78, 41, 91)(29, 79, 45, 95)(30, 80, 49, 99)(31, 81, 38, 88)(32, 82, 42, 92)(33, 83, 46, 96)(34, 84, 50, 100)(101, 151, 103, 153, 106, 156, 104, 154, 105, 155)(102, 152, 107, 157, 110, 160, 108, 158, 109, 159)(111, 161, 119, 169, 122, 172, 120, 170, 121, 171)(112, 162, 123, 173, 126, 176, 124, 174, 125, 175)(113, 163, 127, 177, 130, 180, 128, 178, 129, 179)(114, 164, 131, 181, 134, 184, 132, 182, 133, 183)(115, 165, 135, 185, 138, 188, 136, 186, 137, 187)(116, 166, 139, 189, 142, 192, 140, 190, 141, 191)(117, 167, 143, 193, 146, 196, 144, 194, 145, 195)(118, 168, 147, 197, 150, 200, 148, 198, 149, 199)
	L = (1, 104)(2, 108)(3, 105)(4, 103)(5, 106)(6, 101)(7, 109)(8, 107)(9, 110)(10, 102)(11, 120)(12, 124)(13, 128)(14, 132)(15, 136)(16, 140)(17, 144)(18, 148)(19, 121)(20, 119)(21, 122)(22, 111)(23, 125)(24, 123)(25, 126)(26, 112)(27, 129)(28, 127)(29, 130)(30, 113)(31, 133)(32, 131)(33, 134)(34, 114)(35, 137)(36, 135)(37, 138)(38, 115)(39, 141)(40, 139)(41, 142)(42, 116)(43, 145)(44, 143)(45, 146)(46, 117)(47, 149)(48, 147)(49, 150)(50, 118)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.610
Graph:: bipartite
	v = 35 e = 100 f = 15
	degree seq :: [ 4^25, 10^10 ]

E26.581 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2), Y2^5, Y3^5, Y1 * Y2^2 * Y1 * Y2 * Y3, Y3 * Y1 * Y3^2 * Y2^-1 * Y1, Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1, Y3^-1 * Y2 * Y1 * Y2^-1 * Y3 * Y1, Y1 * Y3^2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1, Y1 * Y3^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 51, 2, 52)(3, 53, 11, 61)(4, 54, 15, 65)(5, 55, 18, 68)(6, 56, 21, 71)(7, 57, 23, 73)(8, 58, 27, 77)(9, 59, 30, 80)(10, 60, 33, 83)(12, 62, 32, 82)(13, 63, 31, 81)(14, 64, 26, 76)(16, 66, 38, 88)(17, 67, 29, 79)(19, 69, 25, 75)(20, 70, 24, 74)(22, 72, 44, 94)(28, 78, 39, 89)(34, 84, 45, 95)(35, 85, 47, 97)(36, 86, 48, 98)(37, 87, 46, 96)(40, 90, 50, 100)(41, 91, 43, 93)(42, 92, 49, 99)(101, 151, 103, 153, 112, 162, 119, 169, 105, 155)(102, 152, 107, 157, 124, 174, 131, 181, 109, 159)(104, 154, 113, 163, 139, 189, 142, 192, 117, 167)(106, 156, 114, 164, 140, 190, 145, 195, 120, 170)(108, 158, 125, 175, 138, 188, 150, 200, 129, 179)(110, 160, 126, 176, 149, 199, 144, 194, 132, 182)(111, 161, 135, 185, 121, 171, 128, 178, 137, 187)(115, 165, 136, 186, 118, 168, 143, 193, 134, 184)(116, 166, 141, 191, 123, 173, 147, 197, 133, 183)(122, 172, 127, 177, 148, 198, 130, 180, 146, 196)
	L = (1, 104)(2, 108)(3, 113)(4, 116)(5, 117)(6, 101)(7, 125)(8, 128)(9, 129)(10, 102)(11, 136)(12, 139)(13, 141)(14, 103)(15, 126)(16, 122)(17, 133)(18, 144)(19, 142)(20, 105)(21, 143)(22, 106)(23, 148)(24, 138)(25, 137)(26, 107)(27, 114)(28, 134)(29, 121)(30, 145)(31, 150)(32, 109)(33, 146)(34, 110)(35, 118)(36, 149)(37, 115)(38, 111)(39, 123)(40, 112)(41, 127)(42, 147)(43, 132)(44, 131)(45, 119)(46, 120)(47, 130)(48, 140)(49, 124)(50, 135)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.604
Graph:: simple bipartite
	v = 35 e = 100 f = 15
	degree seq :: [ 4^25, 10^10 ]

E26.582 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^5, Y3^5, Y1 * Y2^2 * Y1 * Y3^-1 * Y2^-1, Y2^-1 * Y1 * Y2 * Y3 * Y1 * Y2^-1, Y3^-1 * Y2 * Y1 * Y2 * Y3^-1 * Y1, Y1 * Y3 * Y2^-1 * Y3 * Y1 * Y3^-1, Y1 * Y3 * Y1 * Y3 * Y2 * Y3^2, Y2^-1 * Y1 * Y3 * Y1 * Y2^-1 * Y1 * Y3 * Y1 * Y2^-1 * Y3, (Y2^-1 * Y1)^10 ]
Map:: polytopal non-degenerate
	R = (1, 51, 2, 52)(3, 53, 11, 61)(4, 54, 15, 65)(5, 55, 18, 68)(6, 56, 21, 71)(7, 57, 23, 73)(8, 58, 27, 77)(9, 59, 30, 80)(10, 60, 33, 83)(12, 62, 25, 75)(13, 63, 24, 74)(14, 64, 29, 79)(16, 66, 36, 86)(17, 67, 26, 76)(19, 69, 32, 82)(20, 70, 31, 81)(22, 72, 44, 94)(28, 78, 45, 95)(34, 84, 39, 89)(35, 85, 46, 96)(37, 87, 48, 98)(38, 88, 47, 97)(40, 90, 49, 99)(41, 91, 43, 93)(42, 92, 50, 100)(101, 151, 103, 153, 112, 162, 119, 169, 105, 155)(102, 152, 107, 157, 124, 174, 131, 181, 109, 159)(104, 154, 113, 163, 139, 189, 142, 192, 117, 167)(106, 156, 114, 164, 140, 190, 145, 195, 120, 170)(108, 158, 125, 175, 144, 194, 150, 200, 129, 179)(110, 160, 126, 176, 149, 199, 136, 186, 132, 182)(111, 161, 135, 185, 134, 184, 121, 171, 137, 187)(115, 165, 128, 178, 143, 193, 118, 168, 138, 188)(116, 166, 141, 191, 130, 180, 148, 198, 127, 177)(122, 172, 133, 183, 147, 197, 123, 173, 146, 196)
	L = (1, 104)(2, 108)(3, 113)(4, 116)(5, 117)(6, 101)(7, 125)(8, 128)(9, 129)(10, 102)(11, 136)(12, 139)(13, 141)(14, 103)(15, 135)(16, 122)(17, 127)(18, 137)(19, 142)(20, 105)(21, 126)(22, 106)(23, 145)(24, 144)(25, 143)(26, 107)(27, 146)(28, 134)(29, 115)(30, 147)(31, 150)(32, 109)(33, 114)(34, 110)(35, 132)(36, 131)(37, 149)(38, 111)(39, 130)(40, 112)(41, 133)(42, 148)(43, 121)(44, 118)(45, 119)(46, 120)(47, 140)(48, 123)(49, 124)(50, 138)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.608
Graph:: simple bipartite
	v = 35 e = 100 f = 15
	degree seq :: [ 4^25, 10^10 ]

E26.583 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), (Y2^-1, Y3), (R * Y1)^2, (R * Y2)^2, (Y3, Y2^-1), (R * Y3)^2, Y2^5, Y3^5, Y1 * Y2^-1 * Y3 * Y1 * Y3^2, Y2 * Y1 * Y2 * Y3 * Y2 * Y1, Y1 * Y2^2 * Y3^-2 * Y1 * Y3, Y3^2 * Y1 * Y3^-1 * Y1 * Y2^-2, (Y2^-1 * Y1 * Y3 * Y1)^5 ]
Map:: polytopal non-degenerate
	R = (1, 51, 2, 52)(3, 53, 11, 61)(4, 54, 15, 65)(5, 55, 18, 68)(6, 56, 21, 71)(7, 57, 23, 73)(8, 58, 27, 77)(9, 59, 30, 80)(10, 60, 33, 83)(12, 62, 37, 87)(13, 63, 25, 75)(14, 64, 28, 78)(16, 66, 26, 76)(17, 67, 34, 84)(19, 69, 41, 91)(20, 70, 32, 82)(22, 72, 29, 79)(24, 74, 40, 90)(31, 81, 44, 94)(35, 85, 45, 95)(36, 86, 47, 97)(38, 88, 43, 93)(39, 89, 50, 100)(42, 92, 49, 99)(46, 96, 48, 98)(101, 151, 103, 153, 112, 162, 119, 169, 105, 155)(102, 152, 107, 157, 124, 174, 131, 181, 109, 159)(104, 154, 113, 163, 130, 180, 145, 195, 117, 167)(106, 156, 114, 164, 138, 188, 123, 173, 120, 170)(108, 158, 125, 175, 118, 168, 143, 193, 129, 179)(110, 160, 126, 176, 135, 185, 111, 161, 132, 182)(115, 165, 141, 191, 128, 178, 148, 198, 142, 192)(116, 166, 139, 189, 149, 199, 127, 177, 144, 194)(121, 171, 136, 186, 150, 200, 134, 184, 137, 187)(122, 172, 140, 190, 133, 183, 147, 197, 146, 196)
	L = (1, 104)(2, 108)(3, 113)(4, 116)(5, 117)(6, 101)(7, 125)(8, 128)(9, 129)(10, 102)(11, 131)(12, 130)(13, 139)(14, 103)(15, 136)(16, 122)(17, 144)(18, 142)(19, 145)(20, 105)(21, 135)(22, 106)(23, 119)(24, 118)(25, 148)(26, 107)(27, 147)(28, 134)(29, 141)(30, 149)(31, 143)(32, 109)(33, 138)(34, 110)(35, 124)(36, 111)(37, 126)(38, 112)(39, 140)(40, 114)(41, 150)(42, 121)(43, 115)(44, 146)(45, 127)(46, 120)(47, 123)(48, 137)(49, 133)(50, 132)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.614
Graph:: simple bipartite
	v = 35 e = 100 f = 15
	degree seq :: [ 4^25, 10^10 ]

E26.584 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^5, Y2^5, Y1 * Y3^-2 * Y1 * Y3 * Y2^-1, Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2, Y2 * Y1 * Y3^-1 * Y1 * Y3^-2 * Y2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 51, 2, 52)(3, 53, 11, 61)(4, 54, 15, 65)(5, 55, 18, 68)(6, 56, 21, 71)(7, 57, 23, 73)(8, 58, 27, 77)(9, 59, 30, 80)(10, 60, 33, 83)(12, 62, 37, 87)(13, 63, 32, 82)(14, 64, 34, 84)(16, 66, 29, 79)(17, 67, 28, 78)(19, 69, 43, 93)(20, 70, 25, 75)(22, 72, 26, 76)(24, 74, 44, 94)(31, 81, 40, 90)(35, 85, 45, 95)(36, 86, 49, 99)(38, 88, 42, 92)(39, 89, 48, 98)(41, 91, 47, 97)(46, 96, 50, 100)(101, 151, 103, 153, 112, 162, 119, 169, 105, 155)(102, 152, 107, 157, 124, 174, 131, 181, 109, 159)(104, 154, 113, 163, 123, 173, 145, 195, 117, 167)(106, 156, 114, 164, 138, 188, 130, 180, 120, 170)(108, 158, 125, 175, 111, 161, 135, 185, 129, 179)(110, 160, 126, 176, 142, 192, 118, 168, 132, 182)(115, 165, 141, 191, 150, 200, 134, 184, 143, 193)(116, 166, 139, 189, 147, 197, 133, 183, 144, 194)(121, 171, 137, 187, 128, 178, 148, 198, 136, 186)(122, 172, 140, 190, 127, 177, 149, 199, 146, 196)
	L = (1, 104)(2, 108)(3, 113)(4, 116)(5, 117)(6, 101)(7, 125)(8, 128)(9, 129)(10, 102)(11, 136)(12, 123)(13, 139)(14, 103)(15, 142)(16, 122)(17, 144)(18, 131)(19, 145)(20, 105)(21, 141)(22, 106)(23, 147)(24, 111)(25, 148)(26, 107)(27, 138)(28, 134)(29, 137)(30, 119)(31, 135)(32, 109)(33, 149)(34, 110)(35, 121)(36, 115)(37, 150)(38, 112)(39, 140)(40, 114)(41, 118)(42, 124)(43, 126)(44, 146)(45, 133)(46, 120)(47, 127)(48, 143)(49, 130)(50, 132)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.615
Graph:: simple bipartite
	v = 35 e = 100 f = 15
	degree seq :: [ 4^25, 10^10 ]

E26.585 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^5, Y2^5, Y1 * Y3^2 * Y1 * Y3 * Y2, Y3^-1 * Y1 * Y2 * Y1 * Y2^2, Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y2^-1, Y3^-2 * Y1 * Y2^2 * Y1 * Y2^-1, Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y2^-1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 51, 2, 52)(3, 53, 11, 61)(4, 54, 15, 65)(5, 55, 18, 68)(6, 56, 21, 71)(7, 57, 23, 73)(8, 58, 27, 77)(9, 59, 30, 80)(10, 60, 33, 83)(12, 62, 37, 87)(13, 63, 34, 84)(14, 64, 26, 76)(16, 66, 32, 82)(17, 67, 29, 79)(19, 69, 44, 94)(20, 70, 28, 78)(22, 72, 25, 75)(24, 74, 39, 89)(31, 81, 46, 96)(35, 85, 47, 97)(36, 86, 45, 95)(38, 88, 43, 93)(40, 90, 50, 100)(41, 91, 49, 99)(42, 92, 48, 98)(101, 151, 103, 153, 112, 162, 119, 169, 105, 155)(102, 152, 107, 157, 124, 174, 131, 181, 109, 159)(104, 154, 113, 163, 138, 188, 123, 173, 117, 167)(106, 156, 114, 164, 130, 180, 145, 195, 120, 170)(108, 158, 125, 175, 136, 186, 111, 161, 129, 179)(110, 160, 126, 176, 118, 168, 143, 193, 132, 182)(115, 165, 135, 185, 150, 200, 128, 178, 137, 187)(116, 166, 139, 189, 127, 177, 147, 197, 142, 192)(121, 171, 144, 194, 134, 184, 148, 198, 141, 191)(122, 172, 140, 190, 149, 199, 133, 183, 146, 196)
	L = (1, 104)(2, 108)(3, 113)(4, 116)(5, 117)(6, 101)(7, 125)(8, 128)(9, 129)(10, 102)(11, 135)(12, 138)(13, 139)(14, 103)(15, 141)(16, 122)(17, 142)(18, 124)(19, 123)(20, 105)(21, 143)(22, 106)(23, 147)(24, 136)(25, 137)(26, 107)(27, 149)(28, 134)(29, 150)(30, 112)(31, 111)(32, 109)(33, 145)(34, 110)(35, 121)(36, 115)(37, 148)(38, 127)(39, 140)(40, 114)(41, 118)(42, 146)(43, 131)(44, 132)(45, 119)(46, 120)(47, 133)(48, 126)(49, 130)(50, 144)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.602
Graph:: simple bipartite
	v = 35 e = 100 f = 15
	degree seq :: [ 4^25, 10^10 ]

E26.586 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^5, Y2^5, Y1 * Y2^-2 * Y3 * Y1 * Y2, Y3^-1 * Y1 * Y3^2 * Y1 * Y2^-1, Y2^-1 * Y1 * Y2 * Y1 * Y3 * Y2^-1, Y1 * Y2^-2 * Y1 * Y3^-1 * Y2^-1 * Y3^-1, Y2 * Y1 * Y3 * Y1 * Y2 * Y3^2, Y2^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 51, 2, 52)(3, 53, 11, 61)(4, 54, 15, 65)(5, 55, 18, 68)(6, 56, 21, 71)(7, 57, 23, 73)(8, 58, 27, 77)(9, 59, 30, 80)(10, 60, 33, 83)(12, 62, 37, 87)(13, 63, 28, 78)(14, 64, 29, 79)(16, 66, 25, 75)(17, 67, 26, 76)(19, 69, 44, 94)(20, 70, 34, 84)(22, 72, 32, 82)(24, 74, 46, 96)(31, 81, 39, 89)(35, 85, 45, 95)(36, 86, 49, 99)(38, 88, 43, 93)(40, 90, 48, 98)(41, 91, 47, 97)(42, 92, 50, 100)(101, 151, 103, 153, 112, 162, 119, 169, 105, 155)(102, 152, 107, 157, 124, 174, 131, 181, 109, 159)(104, 154, 113, 163, 138, 188, 130, 180, 117, 167)(106, 156, 114, 164, 123, 173, 145, 195, 120, 170)(108, 158, 125, 175, 143, 193, 118, 168, 129, 179)(110, 160, 126, 176, 111, 161, 135, 185, 132, 182)(115, 165, 137, 187, 134, 184, 148, 198, 136, 186)(116, 166, 139, 189, 133, 183, 149, 199, 142, 192)(121, 171, 141, 191, 150, 200, 128, 178, 144, 194)(122, 172, 140, 190, 147, 197, 127, 177, 146, 196)
	L = (1, 104)(2, 108)(3, 113)(4, 116)(5, 117)(6, 101)(7, 125)(8, 128)(9, 129)(10, 102)(11, 124)(12, 138)(13, 139)(14, 103)(15, 135)(16, 122)(17, 142)(18, 141)(19, 130)(20, 105)(21, 136)(22, 106)(23, 112)(24, 143)(25, 144)(26, 107)(27, 145)(28, 134)(29, 150)(30, 149)(31, 118)(32, 109)(33, 147)(34, 110)(35, 131)(36, 111)(37, 132)(38, 133)(39, 140)(40, 114)(41, 115)(42, 146)(43, 121)(44, 148)(45, 119)(46, 120)(47, 123)(48, 126)(49, 127)(50, 137)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.606
Graph:: simple bipartite
	v = 35 e = 100 f = 15
	degree seq :: [ 4^25, 10^10 ]

E26.587 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^5, Y2^5, Y2 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y1, Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y3^-1, Y1 * Y3^-1 * Y2 * Y1 * Y2^2, Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-2, Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 51, 2, 52)(3, 53, 11, 61)(4, 54, 15, 65)(5, 55, 18, 68)(6, 56, 21, 71)(7, 57, 23, 73)(8, 58, 27, 77)(9, 59, 30, 80)(10, 60, 33, 83)(12, 62, 29, 79)(13, 63, 25, 75)(14, 64, 31, 81)(16, 66, 43, 93)(17, 67, 24, 74)(19, 69, 26, 76)(20, 70, 32, 82)(22, 72, 36, 86)(28, 78, 45, 95)(34, 84, 40, 90)(35, 85, 47, 97)(37, 87, 44, 94)(38, 88, 48, 98)(39, 89, 50, 100)(41, 91, 42, 92)(46, 96, 49, 99)(101, 151, 103, 153, 112, 162, 119, 169, 105, 155)(102, 152, 107, 157, 124, 174, 131, 181, 109, 159)(104, 154, 113, 163, 139, 189, 145, 195, 117, 167)(106, 156, 114, 164, 140, 190, 146, 196, 120, 170)(108, 158, 125, 175, 149, 199, 143, 193, 129, 179)(110, 160, 126, 176, 136, 186, 150, 200, 132, 182)(111, 161, 135, 185, 115, 165, 134, 184, 137, 187)(116, 166, 133, 183, 148, 198, 130, 180, 144, 194)(118, 168, 142, 192, 128, 178, 121, 171, 138, 188)(122, 172, 141, 191, 123, 173, 147, 197, 127, 177)
	L = (1, 104)(2, 108)(3, 113)(4, 116)(5, 117)(6, 101)(7, 125)(8, 128)(9, 129)(10, 102)(11, 136)(12, 139)(13, 133)(14, 103)(15, 132)(16, 122)(17, 144)(18, 135)(19, 145)(20, 105)(21, 137)(22, 106)(23, 140)(24, 149)(25, 121)(26, 107)(27, 120)(28, 134)(29, 142)(30, 147)(31, 143)(32, 109)(33, 141)(34, 110)(35, 150)(36, 124)(37, 126)(38, 111)(39, 148)(40, 112)(41, 114)(42, 115)(43, 118)(44, 127)(45, 130)(46, 119)(47, 146)(48, 123)(49, 138)(50, 131)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.624
Graph:: simple bipartite
	v = 35 e = 100 f = 15
	degree seq :: [ 4^25, 10^10 ]

E26.588 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^5, Y3^5, Y1 * Y2^-1 * Y3^-2 * Y1 * Y3, (Y3^-1 * Y1 * Y2^-1)^2, Y2^-1 * Y1 * Y3^-1 * Y2 * Y1 * Y2^-1, Y3 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y3, Y1 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2^-2 ]
Map:: polytopal non-degenerate
	R = (1, 51, 2, 52)(3, 53, 11, 61)(4, 54, 15, 65)(5, 55, 18, 68)(6, 56, 21, 71)(7, 57, 23, 73)(8, 58, 27, 77)(9, 59, 30, 80)(10, 60, 33, 83)(12, 62, 26, 76)(13, 63, 32, 82)(14, 64, 24, 74)(16, 66, 43, 93)(17, 67, 31, 81)(19, 69, 29, 79)(20, 70, 25, 75)(22, 72, 38, 88)(28, 78, 40, 90)(34, 84, 45, 95)(35, 85, 44, 94)(36, 86, 48, 98)(37, 87, 47, 97)(39, 89, 49, 99)(41, 91, 42, 92)(46, 96, 50, 100)(101, 151, 103, 153, 112, 162, 119, 169, 105, 155)(102, 152, 107, 157, 124, 174, 131, 181, 109, 159)(104, 154, 113, 163, 139, 189, 145, 195, 117, 167)(106, 156, 114, 164, 140, 190, 146, 196, 120, 170)(108, 158, 125, 175, 149, 199, 138, 188, 129, 179)(110, 160, 126, 176, 143, 193, 150, 200, 132, 182)(111, 161, 135, 185, 128, 178, 115, 165, 137, 187)(116, 166, 127, 177, 148, 198, 123, 173, 144, 194)(118, 168, 136, 186, 121, 171, 134, 184, 142, 192)(122, 172, 141, 191, 130, 180, 147, 197, 133, 183)
	L = (1, 104)(2, 108)(3, 113)(4, 116)(5, 117)(6, 101)(7, 125)(8, 128)(9, 129)(10, 102)(11, 136)(12, 139)(13, 127)(14, 103)(15, 142)(16, 122)(17, 144)(18, 143)(19, 145)(20, 105)(21, 132)(22, 106)(23, 147)(24, 149)(25, 115)(26, 107)(27, 141)(28, 134)(29, 135)(30, 140)(31, 138)(32, 109)(33, 120)(34, 110)(35, 121)(36, 150)(37, 118)(38, 111)(39, 148)(40, 112)(41, 114)(42, 126)(43, 124)(44, 133)(45, 123)(46, 119)(47, 146)(48, 130)(49, 137)(50, 131)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.619
Graph:: simple bipartite
	v = 35 e = 100 f = 15
	degree seq :: [ 4^25, 10^10 ]

E26.589 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ Y3^2, R^2, (Y1^-1 * Y3)^2, (Y2^-1, Y1^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, Y1^5, Y2^5 ]
Map:: non-degenerate
	R = (1, 51, 2, 52, 7, 57, 16, 66, 5, 55)(3, 53, 8, 58, 19, 69, 29, 79, 13, 63)(4, 54, 14, 64, 30, 80, 20, 70, 9, 59)(6, 56, 10, 60, 21, 71, 33, 83, 17, 67)(11, 61, 22, 72, 35, 85, 42, 92, 27, 77)(12, 62, 28, 78, 43, 93, 36, 86, 23, 73)(15, 65, 31, 81, 44, 94, 37, 87, 24, 74)(18, 68, 25, 75, 38, 88, 46, 96, 34, 84)(26, 76, 41, 91, 49, 99, 47, 97, 39, 89)(32, 82, 45, 95, 50, 100, 48, 98, 40, 90)(101, 151, 103, 153, 111, 161, 118, 168, 106, 156)(102, 152, 108, 158, 122, 172, 125, 175, 110, 160)(104, 154, 112, 162, 126, 176, 132, 182, 115, 165)(105, 155, 113, 163, 127, 177, 134, 184, 117, 167)(107, 157, 119, 169, 135, 185, 138, 188, 121, 171)(109, 159, 123, 173, 139, 189, 140, 190, 124, 174)(114, 164, 128, 178, 141, 191, 145, 195, 131, 181)(116, 166, 129, 179, 142, 192, 146, 196, 133, 183)(120, 170, 136, 186, 147, 197, 148, 198, 137, 187)(130, 180, 143, 193, 149, 199, 150, 200, 144, 194)
	L = (1, 104)(2, 109)(3, 112)(4, 101)(5, 114)(6, 115)(7, 120)(8, 123)(9, 102)(10, 124)(11, 126)(12, 103)(13, 128)(14, 105)(15, 106)(16, 130)(17, 131)(18, 132)(19, 136)(20, 107)(21, 137)(22, 139)(23, 108)(24, 110)(25, 140)(26, 111)(27, 141)(28, 113)(29, 143)(30, 116)(31, 117)(32, 118)(33, 144)(34, 145)(35, 147)(36, 119)(37, 121)(38, 148)(39, 122)(40, 125)(41, 127)(42, 149)(43, 129)(44, 133)(45, 134)(46, 150)(47, 135)(48, 138)(49, 142)(50, 146)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.593
Graph:: simple bipartite
	v = 20 e = 100 f = 30
	degree seq :: [ 10^20 ]

E26.590 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y2^-2, (Y2^-1, Y3^-1), (R * Y2^-1)^2, (Y2^-1, Y1^-1), (R * Y1)^2, (Y2^-1 * Y3^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y2^-1 * Y3^4, Y2 * Y1 * Y3^-1 * Y1 * Y3^-1, Y2^5, Y1^5, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 51, 2, 52, 8, 58, 22, 72, 5, 55)(3, 53, 9, 59, 25, 75, 37, 87, 15, 65)(4, 54, 17, 67, 38, 88, 40, 90, 19, 69)(6, 56, 11, 61, 27, 77, 43, 93, 23, 73)(7, 57, 24, 74, 44, 94, 32, 82, 10, 60)(12, 62, 20, 70, 36, 86, 47, 97, 26, 76)(13, 63, 29, 79, 45, 95, 49, 99, 34, 84)(14, 64, 35, 85, 42, 92, 28, 78, 33, 83)(16, 66, 21, 71, 41, 91, 48, 98, 30, 80)(18, 68, 31, 81, 46, 96, 50, 100, 39, 89)(101, 151, 103, 153, 113, 163, 118, 168, 106, 156)(102, 152, 109, 159, 129, 179, 131, 181, 111, 161)(104, 154, 114, 164, 107, 157, 116, 166, 120, 170)(105, 155, 115, 165, 134, 184, 139, 189, 123, 173)(108, 158, 125, 175, 145, 195, 146, 196, 127, 177)(110, 160, 130, 180, 112, 162, 119, 169, 133, 183)(117, 167, 135, 185, 124, 174, 121, 171, 136, 186)(122, 172, 137, 187, 149, 199, 150, 200, 143, 193)(126, 176, 140, 190, 128, 178, 132, 182, 148, 198)(138, 188, 142, 192, 144, 194, 141, 191, 147, 197)
	L = (1, 104)(2, 110)(3, 114)(4, 118)(5, 121)(6, 120)(7, 101)(8, 126)(9, 130)(10, 131)(11, 133)(12, 102)(13, 107)(14, 106)(15, 136)(16, 103)(17, 105)(18, 116)(19, 109)(20, 113)(21, 139)(22, 142)(23, 124)(24, 134)(25, 140)(26, 146)(27, 148)(28, 108)(29, 112)(30, 111)(31, 119)(32, 125)(33, 129)(34, 117)(35, 115)(36, 123)(37, 144)(38, 149)(39, 135)(40, 127)(41, 122)(42, 150)(43, 138)(44, 143)(45, 128)(46, 132)(47, 137)(48, 145)(49, 141)(50, 147)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.595
Graph:: simple bipartite
	v = 20 e = 100 f = 30
	degree seq :: [ 10^20 ]

E26.591 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-2, (Y1^-1, Y2), (R * Y2^-1)^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^5, Y1^5, Y2 * Y3 * Y1^-2 * Y3 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 51, 2, 52, 8, 58, 19, 69, 5, 55)(3, 53, 9, 59, 24, 74, 36, 86, 15, 65)(4, 54, 16, 66, 37, 87, 38, 88, 17, 67)(6, 56, 11, 61, 26, 76, 41, 91, 20, 70)(7, 57, 23, 73, 44, 94, 29, 79, 10, 60)(12, 62, 22, 72, 43, 93, 46, 96, 25, 75)(13, 63, 28, 78, 45, 95, 49, 99, 33, 83)(14, 64, 18, 68, 39, 89, 48, 98, 34, 84)(21, 71, 30, 80, 47, 97, 50, 100, 42, 92)(27, 77, 31, 81, 32, 82, 35, 85, 40, 90)(101, 151, 103, 153, 113, 163, 121, 171, 106, 156)(102, 152, 109, 159, 128, 178, 130, 180, 111, 161)(104, 154, 114, 164, 132, 182, 122, 172, 107, 157)(105, 155, 115, 165, 133, 183, 142, 192, 120, 170)(108, 158, 124, 174, 145, 195, 147, 197, 126, 176)(110, 160, 117, 167, 134, 184, 131, 181, 112, 162)(116, 166, 118, 168, 135, 185, 143, 193, 123, 173)(119, 169, 136, 186, 149, 199, 150, 200, 141, 191)(125, 175, 129, 179, 138, 188, 148, 198, 127, 177)(137, 187, 139, 189, 140, 190, 146, 196, 144, 194)
	L = (1, 104)(2, 110)(3, 114)(4, 103)(5, 118)(6, 107)(7, 101)(8, 125)(9, 117)(10, 109)(11, 112)(12, 102)(13, 132)(14, 113)(15, 135)(16, 105)(17, 128)(18, 115)(19, 140)(20, 116)(21, 122)(22, 106)(23, 120)(24, 129)(25, 124)(26, 127)(27, 108)(28, 134)(29, 145)(30, 131)(31, 111)(32, 121)(33, 143)(34, 130)(35, 133)(36, 146)(37, 141)(38, 147)(39, 119)(40, 136)(41, 139)(42, 123)(43, 142)(44, 150)(45, 138)(46, 149)(47, 148)(48, 126)(49, 144)(50, 137)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.596
Graph:: simple bipartite
	v = 20 e = 100 f = 30
	degree seq :: [ 10^20 ]

E26.592 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^2, (Y1 * Y3)^2, (R * Y2)^2, (Y3 * Y1)^2, (R * Y1)^2, (Y1^-1, Y2^-1), (R * Y3)^2, Y1^5, Y2^5, Y2^2 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1, (Y3 * Y2^-1)^10 ]
Map:: non-degenerate
	R = (1, 51, 2, 52, 8, 58, 20, 70, 5, 55)(3, 53, 9, 59, 24, 74, 34, 84, 14, 64)(4, 54, 16, 66, 36, 86, 37, 87, 17, 67)(6, 56, 11, 61, 26, 76, 42, 92, 21, 71)(7, 57, 23, 73, 44, 94, 30, 80, 10, 60)(12, 62, 15, 65, 35, 85, 47, 97, 25, 75)(13, 63, 28, 78, 45, 95, 49, 99, 32, 82)(18, 68, 19, 69, 39, 89, 46, 96, 38, 88)(22, 72, 31, 81, 48, 98, 50, 100, 43, 93)(27, 77, 29, 79, 33, 83, 40, 90, 41, 91)(101, 151, 103, 153, 113, 163, 122, 172, 106, 156)(102, 152, 109, 159, 128, 178, 131, 181, 111, 161)(104, 154, 107, 157, 115, 165, 133, 183, 118, 168)(105, 155, 114, 164, 132, 182, 143, 193, 121, 171)(108, 158, 124, 174, 145, 195, 148, 198, 126, 176)(110, 160, 112, 162, 129, 179, 138, 188, 117, 167)(116, 166, 123, 173, 135, 185, 140, 190, 119, 169)(120, 170, 134, 184, 149, 199, 150, 200, 142, 192)(125, 175, 127, 177, 146, 196, 137, 187, 130, 180)(136, 186, 144, 194, 147, 197, 141, 191, 139, 189)
	L = (1, 104)(2, 110)(3, 107)(4, 106)(5, 119)(6, 118)(7, 101)(8, 125)(9, 112)(10, 111)(11, 117)(12, 102)(13, 115)(14, 116)(15, 103)(16, 105)(17, 131)(18, 122)(19, 121)(20, 141)(21, 140)(22, 133)(23, 114)(24, 127)(25, 126)(26, 130)(27, 108)(28, 129)(29, 109)(30, 148)(31, 138)(32, 123)(33, 113)(34, 139)(35, 132)(36, 134)(37, 145)(38, 128)(39, 120)(40, 143)(41, 142)(42, 147)(43, 135)(44, 149)(45, 146)(46, 124)(47, 150)(48, 137)(49, 136)(50, 144)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.594
Graph:: simple bipartite
	v = 20 e = 100 f = 30
	degree seq :: [ 10^20 ]

E26.593 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y3 * Y1^-5, Y1^-1 * Y2 * Y1 * Y3 * Y2 * Y3, (R * Y2 * Y3)^2, Y3 * Y2 * Y3 * Y1 * Y2 * Y1^-1, Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y3, (Y2 * Y1^-1)^5 ]
Map:: non-degenerate
	R = (1, 51, 2, 52, 6, 56, 16, 66, 13, 63, 4, 54, 8, 58, 18, 68, 15, 65, 5, 55)(3, 53, 9, 59, 17, 67, 31, 81, 25, 75, 10, 60, 22, 72, 32, 82, 27, 77, 11, 61)(7, 57, 19, 69, 30, 80, 28, 78, 12, 62, 20, 70, 33, 83, 29, 79, 14, 64, 21, 71)(23, 73, 37, 87, 44, 94, 40, 90, 24, 74, 38, 88, 45, 95, 41, 91, 26, 76, 39, 89)(34, 84, 46, 96, 42, 92, 49, 99, 35, 85, 47, 97, 43, 93, 50, 100, 36, 86, 48, 98)(101, 151, 103, 153)(102, 152, 107, 157)(104, 154, 112, 162)(105, 155, 114, 164)(106, 156, 117, 167)(108, 158, 122, 172)(109, 159, 123, 173)(110, 160, 124, 174)(111, 161, 126, 176)(113, 163, 125, 175)(115, 165, 127, 177)(116, 166, 130, 180)(118, 168, 133, 183)(119, 169, 134, 184)(120, 170, 135, 185)(121, 171, 136, 186)(128, 178, 142, 192)(129, 179, 143, 193)(131, 181, 144, 194)(132, 182, 145, 195)(137, 187, 147, 197)(138, 188, 148, 198)(139, 189, 149, 199)(140, 190, 150, 200)(141, 191, 146, 196)
	L = (1, 104)(2, 108)(3, 110)(4, 101)(5, 113)(6, 118)(7, 120)(8, 102)(9, 122)(10, 103)(11, 125)(12, 121)(13, 105)(14, 128)(15, 116)(16, 115)(17, 132)(18, 106)(19, 133)(20, 107)(21, 112)(22, 109)(23, 138)(24, 139)(25, 111)(26, 140)(27, 131)(28, 114)(29, 130)(30, 129)(31, 127)(32, 117)(33, 119)(34, 147)(35, 148)(36, 149)(37, 145)(38, 123)(39, 124)(40, 126)(41, 144)(42, 150)(43, 146)(44, 141)(45, 137)(46, 143)(47, 134)(48, 135)(49, 136)(50, 142)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 10^4 ), ( 10^20 ) }
Outer automorphisms :: reflexible
Dual of E26.589
Graph:: bipartite
	v = 30 e = 100 f = 20
	degree seq :: [ 4^25, 20^5 ]

E26.594 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2 * Y1^-2, Y3 * Y2 * Y3^-1 * Y2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^4 * Y3 * Y2, Y3^2 * Y2 * Y1^-2 * Y2, Y3^-1 * Y1 * Y3^-1 * Y2 * Y1 * Y2, Y3 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y2 * Y1^-1, (Y3^-1 * Y1^-1)^5 ]
Map:: non-degenerate
	R = (1, 51, 2, 52, 7, 57, 21, 71, 14, 64, 27, 77, 12, 62, 25, 75, 18, 68, 5, 55)(3, 53, 11, 61, 22, 72, 20, 70, 6, 56, 16, 66, 4, 54, 15, 65, 23, 73, 13, 63)(8, 58, 24, 74, 19, 69, 30, 80, 10, 60, 29, 79, 9, 59, 28, 78, 17, 67, 26, 76)(31, 81, 41, 91, 35, 85, 45, 95, 33, 83, 44, 94, 32, 82, 43, 93, 34, 84, 42, 92)(36, 86, 46, 96, 40, 90, 50, 100, 38, 88, 49, 99, 37, 87, 48, 98, 39, 89, 47, 97)(101, 151, 103, 153)(102, 152, 108, 158)(104, 154, 112, 162)(105, 155, 117, 167)(106, 156, 114, 164)(107, 157, 122, 172)(109, 159, 125, 175)(110, 160, 127, 177)(111, 161, 131, 181)(113, 163, 134, 184)(115, 165, 132, 182)(116, 166, 133, 183)(118, 168, 123, 173)(119, 169, 121, 171)(120, 170, 135, 185)(124, 174, 136, 186)(126, 176, 139, 189)(128, 178, 137, 187)(129, 179, 138, 188)(130, 180, 140, 190)(141, 191, 149, 199)(142, 192, 150, 200)(143, 193, 146, 196)(144, 194, 147, 197)(145, 195, 148, 198)
	L = (1, 104)(2, 109)(3, 112)(4, 107)(5, 110)(6, 101)(7, 123)(8, 125)(9, 121)(10, 102)(11, 132)(12, 122)(13, 133)(14, 103)(15, 135)(16, 131)(17, 127)(18, 106)(19, 105)(20, 134)(21, 117)(22, 118)(23, 114)(24, 137)(25, 119)(26, 138)(27, 108)(28, 140)(29, 136)(30, 139)(31, 115)(32, 120)(33, 111)(34, 116)(35, 113)(36, 128)(37, 130)(38, 124)(39, 129)(40, 126)(41, 146)(42, 147)(43, 148)(44, 149)(45, 150)(46, 145)(47, 141)(48, 142)(49, 143)(50, 144)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 10^4 ), ( 10^20 ) }
Outer automorphisms :: reflexible
Dual of E26.592
Graph:: bipartite
	v = 30 e = 100 f = 20
	degree seq :: [ 4^25, 20^5 ]

E26.595 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^2 * Y2 * Y3^-1, Y3^-1 * Y1^2 * Y2, Y1^-1 * Y2 * Y3 * Y1^-1, (R * Y1)^2, Y2 * Y3 * Y2 * Y3^-1, (R * Y2)^2, (R * Y3)^2, Y1 * Y3 * Y2 * Y1 * Y3^-2, Y2 * Y3^5, (Y3^-1 * Y1^-1 * Y3^-1)^2, Y3 * Y1^-1 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 51, 2, 52, 7, 57, 19, 69, 15, 65, 24, 74, 18, 68, 26, 76, 13, 63, 5, 55)(3, 53, 11, 61, 4, 54, 14, 64, 20, 70, 35, 85, 31, 81, 17, 67, 6, 56, 12, 62)(8, 58, 21, 71, 9, 59, 23, 73, 34, 84, 33, 83, 16, 66, 25, 75, 10, 60, 22, 72)(27, 77, 41, 91, 28, 78, 43, 93, 32, 82, 45, 95, 30, 80, 44, 94, 29, 79, 42, 92)(36, 86, 46, 96, 37, 87, 48, 98, 40, 90, 50, 100, 39, 89, 49, 99, 38, 88, 47, 97)(101, 151, 103, 153)(102, 152, 108, 158)(104, 154, 107, 157)(105, 155, 110, 160)(106, 156, 113, 163)(109, 159, 119, 169)(111, 161, 127, 177)(112, 162, 129, 179)(114, 164, 128, 178)(115, 165, 120, 170)(116, 166, 126, 176)(117, 167, 130, 180)(118, 168, 131, 181)(121, 171, 136, 186)(122, 172, 138, 188)(123, 173, 137, 187)(124, 174, 134, 184)(125, 175, 139, 189)(132, 182, 135, 185)(133, 183, 140, 190)(141, 191, 150, 200)(142, 192, 148, 198)(143, 193, 149, 199)(144, 194, 146, 196)(145, 195, 147, 197)
	L = (1, 104)(2, 109)(3, 107)(4, 115)(5, 108)(6, 101)(7, 120)(8, 119)(9, 124)(10, 102)(11, 128)(12, 127)(13, 103)(14, 132)(15, 131)(16, 105)(17, 129)(18, 106)(19, 134)(20, 118)(21, 137)(22, 136)(23, 140)(24, 116)(25, 138)(26, 110)(27, 114)(28, 135)(29, 111)(30, 112)(31, 113)(32, 117)(33, 139)(34, 126)(35, 130)(36, 123)(37, 133)(38, 121)(39, 122)(40, 125)(41, 149)(42, 150)(43, 147)(44, 148)(45, 146)(46, 142)(47, 144)(48, 141)(49, 145)(50, 143)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 10^4 ), ( 10^20 ) }
Outer automorphisms :: reflexible
Dual of E26.590
Graph:: bipartite
	v = 30 e = 100 f = 20
	degree seq :: [ 4^25, 20^5 ]

E26.596 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^2 * Y2 * Y3, Y3^-1 * Y1^-2 * Y2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y3, (Y3^2 * Y1^-1)^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 51, 2, 52, 7, 57, 19, 69, 18, 68, 26, 76, 14, 64, 23, 73, 12, 62, 5, 55)(3, 53, 11, 61, 6, 56, 17, 67, 20, 70, 35, 85, 30, 80, 15, 65, 4, 54, 13, 63)(8, 58, 21, 71, 10, 60, 25, 75, 34, 84, 33, 83, 16, 66, 24, 74, 9, 59, 22, 72)(27, 77, 41, 91, 29, 79, 44, 94, 32, 82, 45, 95, 31, 81, 43, 93, 28, 78, 42, 92)(36, 86, 46, 96, 38, 88, 49, 99, 40, 90, 50, 100, 39, 89, 48, 98, 37, 87, 47, 97)(101, 151, 103, 153)(102, 152, 108, 158)(104, 154, 112, 162)(105, 155, 109, 159)(106, 156, 107, 157)(110, 160, 119, 169)(111, 161, 127, 177)(113, 163, 128, 178)(114, 164, 130, 180)(115, 165, 131, 181)(116, 166, 123, 173)(117, 167, 129, 179)(118, 168, 120, 170)(121, 171, 136, 186)(122, 172, 137, 187)(124, 174, 139, 189)(125, 175, 138, 188)(126, 176, 134, 184)(132, 182, 135, 185)(133, 183, 140, 190)(141, 191, 150, 200)(142, 192, 149, 199)(143, 193, 146, 196)(144, 194, 148, 198)(145, 195, 147, 197)
	L = (1, 104)(2, 109)(3, 112)(4, 114)(5, 116)(6, 101)(7, 103)(8, 105)(9, 123)(10, 102)(11, 128)(12, 130)(13, 131)(14, 120)(15, 132)(16, 126)(17, 127)(18, 106)(19, 108)(20, 107)(21, 137)(22, 139)(23, 134)(24, 140)(25, 136)(26, 110)(27, 113)(28, 115)(29, 111)(30, 118)(31, 135)(32, 117)(33, 138)(34, 119)(35, 129)(36, 122)(37, 124)(38, 121)(39, 133)(40, 125)(41, 149)(42, 146)(43, 147)(44, 150)(45, 148)(46, 145)(47, 144)(48, 141)(49, 143)(50, 142)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 10^4 ), ( 10^20 ) }
Outer automorphisms :: reflexible
Dual of E26.591
Graph:: bipartite
	v = 30 e = 100 f = 20
	degree seq :: [ 4^25, 20^5 ]

E26.597 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^-2, (Y3, Y2^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y3, Y1^-1), Y3 * Y2^4, Y3^5, Y1^5, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 51, 2, 52, 8, 58, 18, 68, 5, 55)(3, 53, 13, 63, 32, 82, 23, 73, 9, 59)(4, 54, 10, 60, 24, 74, 36, 86, 17, 67)(6, 56, 19, 69, 37, 87, 25, 75, 11, 61)(7, 57, 12, 62, 26, 76, 38, 88, 20, 70)(14, 64, 27, 77, 41, 91, 46, 96, 33, 83)(15, 65, 34, 84, 47, 97, 42, 92, 28, 78)(16, 66, 35, 85, 48, 98, 43, 93, 29, 79)(21, 71, 30, 80, 44, 94, 49, 99, 39, 89)(22, 72, 40, 90, 50, 100, 45, 95, 31, 81)(101, 151, 103, 153, 114, 164, 122, 172, 107, 157, 116, 166, 104, 154, 115, 165, 121, 171, 106, 156)(102, 152, 109, 159, 127, 177, 131, 181, 112, 162, 129, 179, 110, 160, 128, 178, 130, 180, 111, 161)(105, 155, 113, 163, 133, 183, 140, 190, 120, 170, 135, 185, 117, 167, 134, 184, 139, 189, 119, 169)(108, 158, 123, 173, 141, 191, 145, 195, 126, 176, 143, 193, 124, 174, 142, 192, 144, 194, 125, 175)(118, 168, 132, 182, 146, 196, 150, 200, 138, 188, 148, 198, 136, 186, 147, 197, 149, 199, 137, 187)
	L = (1, 104)(2, 110)(3, 115)(4, 114)(5, 117)(6, 116)(7, 101)(8, 124)(9, 128)(10, 127)(11, 129)(12, 102)(13, 134)(14, 121)(15, 122)(16, 103)(17, 133)(18, 136)(19, 135)(20, 105)(21, 107)(22, 106)(23, 142)(24, 141)(25, 143)(26, 108)(27, 130)(28, 131)(29, 109)(30, 112)(31, 111)(32, 147)(33, 139)(34, 140)(35, 113)(36, 146)(37, 148)(38, 118)(39, 120)(40, 119)(41, 144)(42, 145)(43, 123)(44, 126)(45, 125)(46, 149)(47, 150)(48, 132)(49, 138)(50, 137)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.570
Graph:: bipartite
	v = 15 e = 100 f = 35
	degree seq :: [ 10^10, 20^5 ]

E26.598 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^2 * Y2^-1, (Y2^-1 * Y3)^2, (Y3^-1, Y2^-1), (Y2 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1, Y3^-1), (R * Y2)^2, Y1 * Y3 * Y2 * Y1 * Y2, Y3^3 * Y2^2, Y1^5, Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2^-1, Y3^2 * Y1 * Y2^-2 * Y1^-1, Y2^-1 * Y1^-2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 51, 2, 52, 8, 58, 19, 69, 5, 55)(3, 53, 13, 63, 34, 84, 31, 81, 11, 61)(4, 54, 10, 60, 26, 76, 37, 87, 17, 67)(6, 56, 18, 68, 39, 89, 44, 94, 22, 72)(7, 57, 12, 62, 28, 78, 42, 92, 21, 71)(9, 59, 24, 74, 38, 88, 46, 96, 27, 77)(14, 64, 29, 79, 45, 95, 49, 99, 35, 85)(15, 65, 20, 70, 40, 90, 48, 98, 30, 80)(16, 66, 36, 86, 41, 91, 25, 75, 33, 83)(23, 73, 32, 82, 47, 97, 50, 100, 43, 93)(101, 151, 103, 153, 114, 164, 124, 174, 107, 157, 116, 166, 104, 154, 115, 165, 123, 173, 106, 156)(102, 152, 109, 159, 129, 179, 133, 183, 112, 162, 130, 180, 110, 160, 122, 172, 132, 182, 111, 161)(105, 155, 118, 168, 135, 185, 113, 163, 121, 171, 138, 188, 117, 167, 136, 186, 143, 193, 120, 170)(108, 158, 125, 175, 145, 195, 148, 198, 128, 178, 144, 194, 126, 176, 131, 181, 147, 197, 127, 177)(119, 169, 140, 190, 149, 199, 139, 189, 142, 192, 134, 184, 137, 187, 146, 196, 150, 200, 141, 191)
	L = (1, 104)(2, 110)(3, 115)(4, 114)(5, 117)(6, 116)(7, 101)(8, 126)(9, 122)(10, 129)(11, 130)(12, 102)(13, 120)(14, 123)(15, 124)(16, 103)(17, 135)(18, 136)(19, 137)(20, 138)(21, 105)(22, 133)(23, 107)(24, 106)(25, 131)(26, 145)(27, 144)(28, 108)(29, 132)(30, 109)(31, 148)(32, 112)(33, 111)(34, 140)(35, 143)(36, 113)(37, 149)(38, 118)(39, 141)(40, 146)(41, 134)(42, 119)(43, 121)(44, 125)(45, 147)(46, 139)(47, 128)(48, 127)(49, 150)(50, 142)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.573
Graph:: bipartite
	v = 15 e = 100 f = 35
	degree seq :: [ 10^10, 20^5 ]

E26.599 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^-2, (Y3, Y2^-1), (Y3, Y1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, Y3^-1 * Y1 * Y2^-1 * Y1 * Y2^-1, Y2^-4 * Y3^-1, Y3^5, Y1^5, Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3, (Y1^-1 * Y3^-1)^5 ]
Map:: non-degenerate
	R = (1, 51, 2, 52, 8, 58, 20, 70, 5, 55)(3, 53, 13, 63, 34, 84, 39, 89, 16, 66)(4, 54, 10, 60, 26, 76, 40, 90, 18, 68)(6, 56, 22, 72, 44, 94, 31, 81, 9, 59)(7, 57, 12, 62, 28, 78, 43, 93, 21, 71)(11, 61, 15, 65, 35, 85, 47, 97, 25, 75)(14, 64, 29, 79, 45, 95, 50, 100, 38, 88)(17, 67, 37, 87, 42, 92, 27, 77, 30, 80)(19, 69, 41, 91, 46, 96, 32, 82, 24, 74)(23, 73, 33, 83, 48, 98, 49, 99, 36, 86)(101, 151, 103, 153, 114, 164, 124, 174, 107, 157, 117, 167, 104, 154, 115, 165, 123, 173, 106, 156)(102, 152, 109, 159, 129, 179, 116, 166, 112, 162, 132, 182, 110, 160, 130, 180, 133, 183, 111, 161)(105, 155, 119, 169, 138, 188, 137, 187, 121, 171, 135, 185, 118, 168, 122, 172, 136, 186, 113, 163)(108, 158, 125, 175, 145, 195, 131, 181, 128, 178, 139, 189, 126, 176, 146, 196, 148, 198, 127, 177)(120, 170, 142, 192, 150, 200, 147, 197, 143, 193, 144, 194, 140, 190, 134, 184, 149, 199, 141, 191)
	L = (1, 104)(2, 110)(3, 115)(4, 114)(5, 118)(6, 117)(7, 101)(8, 126)(9, 130)(10, 129)(11, 132)(12, 102)(13, 135)(14, 123)(15, 124)(16, 111)(17, 103)(18, 138)(19, 122)(20, 140)(21, 105)(22, 137)(23, 107)(24, 106)(25, 146)(26, 145)(27, 139)(28, 108)(29, 133)(30, 116)(31, 127)(32, 109)(33, 112)(34, 147)(35, 119)(36, 121)(37, 113)(38, 136)(39, 125)(40, 150)(41, 144)(42, 134)(43, 120)(44, 142)(45, 148)(46, 131)(47, 141)(48, 128)(49, 143)(50, 149)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.561
Graph:: bipartite
	v = 15 e = 100 f = 35
	degree seq :: [ 10^10, 20^5 ]

E26.600 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-2, (Y2^-1 * Y3)^2, (Y2, Y3), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3, Y1), Y3^-1 * Y2^-4, Y1 * Y3^-1 * Y2 * Y1 * Y2, Y1 * Y3 * Y2 * Y1 * Y2^-1, Y1^5, Y3^5, (Y3^-1 * Y1 * Y2^-1)^2, (Y1^-1 * Y3^-1)^5 ]
Map:: non-degenerate
	R = (1, 51, 2, 52, 8, 58, 20, 70, 5, 55)(3, 53, 13, 63, 36, 86, 38, 88, 16, 66)(4, 54, 10, 60, 28, 78, 40, 90, 18, 68)(6, 56, 23, 73, 46, 96, 27, 77, 24, 74)(7, 57, 12, 62, 30, 80, 43, 93, 22, 72)(9, 59, 17, 67, 21, 71, 44, 94, 32, 82)(11, 61, 26, 76, 39, 89, 42, 92, 33, 83)(14, 64, 31, 81, 47, 97, 50, 100, 37, 87)(15, 65, 19, 69, 41, 91, 29, 79, 35, 85)(25, 75, 34, 84, 48, 98, 49, 99, 45, 95)(101, 151, 103, 153, 114, 164, 126, 176, 107, 157, 117, 167, 104, 154, 115, 165, 125, 175, 106, 156)(102, 152, 109, 159, 131, 181, 135, 185, 112, 162, 124, 174, 110, 160, 116, 166, 134, 184, 111, 161)(105, 155, 119, 169, 137, 187, 123, 173, 122, 172, 113, 163, 118, 168, 139, 189, 145, 195, 121, 171)(108, 158, 127, 177, 147, 197, 138, 188, 130, 180, 133, 183, 128, 178, 132, 182, 148, 198, 129, 179)(120, 170, 142, 192, 150, 200, 144, 194, 143, 193, 141, 191, 140, 190, 146, 196, 149, 199, 136, 186)
	L = (1, 104)(2, 110)(3, 115)(4, 114)(5, 118)(6, 117)(7, 101)(8, 128)(9, 116)(10, 131)(11, 124)(12, 102)(13, 119)(14, 125)(15, 126)(16, 135)(17, 103)(18, 137)(19, 139)(20, 140)(21, 113)(22, 105)(23, 121)(24, 109)(25, 107)(26, 106)(27, 132)(28, 147)(29, 133)(30, 108)(31, 134)(32, 138)(33, 127)(34, 112)(35, 111)(36, 141)(37, 145)(38, 129)(39, 123)(40, 150)(41, 142)(42, 146)(43, 120)(44, 136)(45, 122)(46, 144)(47, 148)(48, 130)(49, 143)(50, 149)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.572
Graph:: bipartite
	v = 15 e = 100 f = 35
	degree seq :: [ 10^10, 20^5 ]

E26.601 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^2 * Y2^-1, (Y2 * Y3^-1)^2, (Y3^-1, Y1^-1), (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, Y2^-3 * Y3^-1 * Y2^-1, Y1 * Y2 * Y3^-1 * Y1 * Y2^-1, Y1^5, Y1 * Y3 * Y2 * Y1 * Y2 * Y3, Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 51, 2, 52, 8, 58, 20, 70, 5, 55)(3, 53, 13, 63, 36, 86, 29, 79, 16, 66)(4, 54, 10, 60, 28, 78, 40, 90, 18, 68)(6, 56, 23, 73, 42, 92, 46, 96, 24, 74)(7, 57, 12, 62, 30, 80, 44, 94, 22, 72)(9, 59, 15, 65, 38, 88, 43, 93, 33, 83)(11, 61, 17, 67, 19, 69, 41, 91, 34, 84)(14, 64, 31, 81, 47, 97, 49, 99, 39, 89)(21, 71, 45, 95, 27, 77, 32, 82, 26, 76)(25, 75, 35, 85, 48, 98, 50, 100, 37, 87)(101, 151, 103, 153, 114, 164, 126, 176, 107, 157, 117, 167, 104, 154, 115, 165, 125, 175, 106, 156)(102, 152, 109, 159, 131, 181, 124, 174, 112, 162, 116, 166, 110, 160, 132, 182, 135, 185, 111, 161)(105, 155, 119, 169, 139, 189, 138, 188, 122, 172, 123, 173, 118, 168, 113, 163, 137, 187, 121, 171)(108, 158, 127, 177, 147, 197, 134, 184, 130, 180, 133, 183, 128, 178, 146, 196, 148, 198, 129, 179)(120, 170, 142, 192, 149, 199, 136, 186, 144, 194, 145, 195, 140, 190, 141, 191, 150, 200, 143, 193)
	L = (1, 104)(2, 110)(3, 115)(4, 114)(5, 118)(6, 117)(7, 101)(8, 128)(9, 132)(10, 131)(11, 116)(12, 102)(13, 138)(14, 125)(15, 126)(16, 109)(17, 103)(18, 139)(19, 113)(20, 140)(21, 123)(22, 105)(23, 119)(24, 111)(25, 107)(26, 106)(27, 146)(28, 147)(29, 133)(30, 108)(31, 135)(32, 124)(33, 127)(34, 129)(35, 112)(36, 143)(37, 122)(38, 121)(39, 137)(40, 149)(41, 136)(42, 141)(43, 145)(44, 120)(45, 142)(46, 134)(47, 148)(48, 130)(49, 150)(50, 144)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.571
Graph:: bipartite
	v = 15 e = 100 f = 35
	degree seq :: [ 10^10, 20^5 ]

E26.602 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^-2, (R * Y3)^2, (Y1, Y3^-1), (R * Y1)^2, (Y2, Y1), (Y3 * Y2^-1)^2, Y1^-5, Y1^-1 * Y2^-4, Y3 * Y1 * Y2 * Y3 * Y2, Y3^5, (R * Y2 * Y3^-1)^2, R * Y3^-2 * Y1 * Y2^-1 * R * Y3^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 51, 2, 52, 8, 58, 18, 68, 5, 55)(3, 53, 9, 59, 19, 69, 6, 56, 11, 61)(4, 54, 10, 60, 25, 75, 34, 84, 17, 67)(7, 57, 12, 62, 26, 76, 39, 89, 20, 70)(13, 63, 23, 73, 31, 81, 21, 71, 29, 79)(14, 64, 27, 77, 15, 65, 22, 72, 30, 80)(16, 66, 28, 78, 45, 95, 49, 99, 38, 88)(24, 74, 32, 82, 46, 96, 50, 100, 40, 90)(33, 83, 43, 93, 48, 98, 41, 91, 44, 94)(35, 85, 47, 97, 36, 86, 42, 92, 37, 87)(101, 151, 103, 153, 108, 158, 119, 169, 105, 155, 111, 161, 102, 152, 109, 159, 118, 168, 106, 156)(104, 154, 115, 165, 125, 175, 130, 180, 117, 167, 127, 177, 110, 160, 122, 172, 134, 184, 114, 164)(107, 157, 121, 171, 126, 176, 113, 163, 120, 170, 131, 181, 112, 162, 129, 179, 139, 189, 123, 173)(116, 166, 137, 187, 145, 195, 147, 197, 138, 188, 142, 192, 128, 178, 135, 185, 149, 199, 136, 186)(124, 174, 143, 193, 146, 196, 141, 191, 140, 190, 133, 183, 132, 182, 148, 198, 150, 200, 144, 194)
	L = (1, 104)(2, 110)(3, 113)(4, 116)(5, 117)(6, 121)(7, 101)(8, 125)(9, 123)(10, 128)(11, 129)(12, 102)(13, 133)(14, 103)(15, 119)(16, 124)(17, 138)(18, 134)(19, 131)(20, 105)(21, 141)(22, 106)(23, 143)(24, 107)(25, 145)(26, 108)(27, 109)(28, 132)(29, 144)(30, 111)(31, 148)(32, 112)(33, 135)(34, 149)(35, 114)(36, 115)(37, 130)(38, 140)(39, 118)(40, 120)(41, 142)(42, 122)(43, 147)(44, 137)(45, 146)(46, 126)(47, 127)(48, 136)(49, 150)(50, 139)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.585
Graph:: bipartite
	v = 15 e = 100 f = 35
	degree seq :: [ 10^10, 20^5 ]

E26.603 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y2^-2, (Y1^-1 * Y2^-1)^2, (R * Y1)^2, (Y1^-1, Y2), (R * Y3)^2, (Y3 * Y2^-1)^2, (Y3^-1, Y1), Y1^-1 * Y2^4, Y3^5, Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1, Y1^5, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 51, 2, 52, 8, 58, 13, 63, 5, 55)(3, 53, 9, 59, 6, 56, 11, 61, 15, 65)(4, 54, 10, 60, 25, 75, 33, 83, 19, 69)(7, 57, 12, 62, 26, 76, 34, 84, 20, 70)(14, 64, 27, 77, 21, 71, 31, 81, 23, 73)(16, 66, 28, 78, 22, 72, 17, 67, 29, 79)(18, 68, 30, 80, 45, 95, 49, 99, 39, 89)(24, 74, 32, 82, 46, 96, 50, 100, 40, 90)(35, 85, 44, 94, 41, 91, 48, 98, 43, 93)(36, 86, 38, 88, 42, 92, 37, 87, 47, 97)(101, 151, 103, 153, 113, 163, 111, 161, 102, 152, 109, 159, 105, 155, 115, 165, 108, 158, 106, 156)(104, 154, 117, 167, 133, 183, 128, 178, 110, 160, 129, 179, 119, 169, 122, 172, 125, 175, 116, 166)(107, 157, 121, 171, 134, 184, 114, 164, 112, 162, 131, 181, 120, 170, 127, 177, 126, 176, 123, 173)(118, 168, 138, 188, 149, 199, 147, 197, 130, 180, 142, 192, 139, 189, 136, 186, 145, 195, 137, 187)(124, 174, 143, 193, 150, 200, 141, 191, 132, 182, 135, 185, 140, 190, 148, 198, 146, 196, 144, 194)
	L = (1, 104)(2, 110)(3, 114)(4, 118)(5, 119)(6, 121)(7, 101)(8, 125)(9, 127)(10, 130)(11, 131)(12, 102)(13, 133)(14, 135)(15, 123)(16, 103)(17, 111)(18, 124)(19, 139)(20, 105)(21, 141)(22, 106)(23, 143)(24, 107)(25, 145)(26, 108)(27, 144)(28, 109)(29, 115)(30, 132)(31, 148)(32, 112)(33, 149)(34, 113)(35, 136)(36, 116)(37, 117)(38, 128)(39, 140)(40, 120)(41, 142)(42, 122)(43, 147)(44, 138)(45, 146)(46, 126)(47, 129)(48, 137)(49, 150)(50, 134)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.563
Graph:: bipartite
	v = 15 e = 100 f = 35
	degree seq :: [ 10^10, 20^5 ]

E26.604 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^-1, (Y3^-1, Y1^-1), (Y2 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3^5, Y1^5, (R * Y2 * Y3^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 51, 2, 52, 8, 58, 17, 67, 5, 55)(3, 53, 9, 59, 24, 74, 18, 68, 6, 56)(4, 54, 10, 60, 25, 75, 36, 86, 16, 66)(7, 57, 11, 61, 26, 76, 37, 87, 19, 69)(12, 62, 27, 77, 39, 89, 22, 72, 20, 70)(13, 63, 14, 64, 28, 78, 38, 88, 21, 71)(15, 65, 29, 79, 45, 95, 50, 100, 35, 85)(23, 73, 30, 80, 46, 96, 49, 99, 40, 90)(31, 81, 47, 97, 44, 94, 43, 93, 41, 91)(32, 82, 33, 83, 34, 84, 48, 98, 42, 92)(101, 151, 103, 153, 102, 152, 109, 159, 108, 158, 124, 174, 117, 167, 118, 168, 105, 155, 106, 156)(104, 154, 114, 164, 110, 160, 128, 178, 125, 175, 138, 188, 136, 186, 121, 171, 116, 166, 113, 163)(107, 157, 120, 170, 111, 161, 112, 162, 126, 176, 127, 177, 137, 187, 139, 189, 119, 169, 122, 172)(115, 165, 134, 184, 129, 179, 148, 198, 145, 195, 142, 192, 150, 200, 132, 182, 135, 185, 133, 183)(123, 173, 143, 193, 130, 180, 141, 191, 146, 196, 131, 181, 149, 199, 147, 197, 140, 190, 144, 194)
	L = (1, 104)(2, 110)(3, 112)(4, 115)(5, 116)(6, 120)(7, 101)(8, 125)(9, 127)(10, 129)(11, 102)(12, 131)(13, 103)(14, 109)(15, 123)(16, 135)(17, 136)(18, 122)(19, 105)(20, 141)(21, 106)(22, 143)(23, 107)(24, 139)(25, 145)(26, 108)(27, 147)(28, 124)(29, 130)(30, 111)(31, 132)(32, 113)(33, 114)(34, 128)(35, 140)(36, 150)(37, 117)(38, 118)(39, 144)(40, 119)(41, 142)(42, 121)(43, 148)(44, 134)(45, 146)(46, 126)(47, 133)(48, 138)(49, 137)(50, 149)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.581
Graph:: bipartite
	v = 15 e = 100 f = 35
	degree seq :: [ 10^10, 20^5 ]

E26.605 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1, (Y3^-1 * Y2)^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1^-1)^2, Y3^5, Y1^5, Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1^2)^2, R * Y3^-2 * Y1 * Y3^-1 * Y2^-1 * R * Y2^-1, (Y1^-1 * Y3^-1)^5 ]
Map:: polytopal non-degenerate
	R = (1, 51, 2, 52, 8, 58, 18, 68, 5, 55)(3, 53, 6, 56, 10, 60, 25, 75, 13, 63)(4, 54, 9, 59, 24, 74, 39, 89, 17, 67)(7, 57, 11, 61, 26, 76, 31, 81, 19, 69)(12, 62, 20, 70, 22, 72, 29, 79, 33, 83)(14, 64, 21, 71, 28, 78, 35, 85, 15, 65)(16, 66, 27, 77, 45, 95, 50, 100, 38, 88)(23, 73, 30, 80, 46, 96, 49, 99, 40, 90)(32, 82, 41, 91, 43, 93, 44, 94, 48, 98)(34, 84, 42, 92, 47, 97, 37, 87, 36, 86)(101, 151, 103, 153, 105, 155, 113, 163, 118, 168, 125, 175, 108, 158, 110, 160, 102, 152, 106, 156)(104, 154, 115, 165, 117, 167, 135, 185, 139, 189, 128, 178, 124, 174, 121, 171, 109, 159, 114, 164)(107, 157, 120, 170, 119, 169, 112, 162, 131, 181, 133, 183, 126, 176, 129, 179, 111, 161, 122, 172)(116, 166, 137, 187, 138, 188, 147, 197, 150, 200, 142, 192, 145, 195, 134, 184, 127, 177, 136, 186)(123, 173, 143, 193, 140, 190, 141, 191, 149, 199, 132, 182, 146, 196, 148, 198, 130, 180, 144, 194)
	L = (1, 104)(2, 109)(3, 112)(4, 116)(5, 117)(6, 120)(7, 101)(8, 124)(9, 127)(10, 122)(11, 102)(12, 132)(13, 133)(14, 103)(15, 113)(16, 123)(17, 138)(18, 139)(19, 105)(20, 141)(21, 106)(22, 143)(23, 107)(24, 145)(25, 129)(26, 108)(27, 130)(28, 110)(29, 144)(30, 111)(31, 118)(32, 134)(33, 148)(34, 114)(35, 125)(36, 115)(37, 135)(38, 140)(39, 150)(40, 119)(41, 142)(42, 121)(43, 147)(44, 137)(45, 146)(46, 126)(47, 128)(48, 136)(49, 131)(50, 149)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.575
Graph:: bipartite
	v = 15 e = 100 f = 35
	degree seq :: [ 10^10, 20^5 ]

E26.606 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1^-1), Y2^-1 * Y1^-1 * Y2 * Y1^-1, (R * Y3)^2, (Y2 * Y3^-1)^2, (R * Y1)^2, Y1^5, Y3^5, Y2^4 * Y1^-1 * Y3, Y3^-2 * Y2^2 * Y1^2, Y1^-2 * R * Y2^-1 * R * Y2^-1, Y1 * Y2^-1 * Y3 * Y2 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2^-3 * Y3, Y3^2 * Y2 * Y3 * Y1 * Y2, Y3 * Y1^-2 * Y3 * Y2^-2 ]
Map:: polytopal non-degenerate
	R = (1, 51, 2, 52, 8, 58, 20, 70, 5, 55)(3, 53, 13, 63, 42, 92, 28, 78, 9, 59)(4, 54, 10, 60, 29, 79, 45, 95, 19, 69)(6, 56, 21, 71, 47, 97, 30, 80, 11, 61)(7, 57, 12, 62, 31, 81, 48, 98, 22, 72)(14, 64, 32, 82, 18, 68, 36, 86, 43, 93)(15, 65, 44, 94, 35, 85, 17, 67, 33, 83)(16, 66, 37, 87, 23, 73, 49, 99, 34, 84)(24, 74, 38, 88, 50, 100, 27, 77, 41, 91)(25, 75, 40, 90, 26, 76, 46, 96, 39, 89)(101, 151, 103, 153, 114, 164, 140, 190, 112, 162, 137, 187, 119, 169, 133, 183, 124, 174, 106, 156)(102, 152, 109, 159, 132, 182, 125, 175, 131, 181, 116, 166, 104, 154, 117, 167, 138, 188, 111, 161)(105, 155, 113, 163, 143, 193, 126, 176, 107, 157, 123, 173, 145, 195, 115, 165, 141, 191, 121, 171)(108, 158, 128, 178, 118, 168, 139, 189, 148, 198, 134, 184, 110, 160, 135, 185, 150, 200, 130, 180)(120, 170, 142, 192, 136, 186, 146, 196, 122, 172, 149, 199, 129, 179, 144, 194, 127, 177, 147, 197)
	L = (1, 104)(2, 110)(3, 115)(4, 118)(5, 119)(6, 123)(7, 101)(8, 129)(9, 133)(10, 136)(11, 137)(12, 102)(13, 144)(14, 138)(15, 146)(16, 103)(17, 140)(18, 127)(19, 132)(20, 145)(21, 149)(22, 105)(23, 142)(24, 131)(25, 106)(26, 147)(27, 107)(28, 117)(29, 143)(30, 116)(31, 108)(32, 150)(33, 126)(34, 109)(35, 125)(36, 141)(37, 113)(38, 148)(39, 111)(40, 121)(41, 112)(42, 135)(43, 124)(44, 139)(45, 114)(46, 130)(47, 134)(48, 120)(49, 128)(50, 122)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.586
Graph:: bipartite
	v = 15 e = 100 f = 35
	degree seq :: [ 10^10, 20^5 ]

E26.607 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y1^-1), Y2 * Y1 * Y2^-1 * Y1, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y1)^2, Y1^5, Y3^5, Y1^-1 * Y2^2 * Y3^-2 * Y1^-1, Y2 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, Y2 * Y3^2 * Y2 * Y1^-1 * Y3, Y1 * Y2^-1 * Y3^-1 * Y2^-3, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^2, Y3^-1 * Y2^-2 * Y3^-1 * Y1^2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 51, 2, 52, 8, 58, 20, 70, 5, 55)(3, 53, 13, 63, 42, 92, 28, 78, 9, 59)(4, 54, 10, 60, 29, 79, 50, 100, 19, 69)(6, 56, 21, 71, 46, 96, 30, 80, 11, 61)(7, 57, 12, 62, 31, 81, 45, 95, 22, 72)(14, 64, 32, 82, 49, 99, 18, 68, 36, 86)(15, 65, 35, 85, 17, 67, 47, 97, 33, 83)(16, 66, 43, 93, 37, 87, 23, 73, 34, 84)(24, 74, 38, 88, 27, 77, 41, 91, 44, 94)(25, 75, 48, 98, 40, 90, 26, 76, 39, 89)(101, 151, 103, 153, 114, 164, 139, 189, 122, 172, 134, 184, 110, 160, 135, 185, 124, 174, 106, 156)(102, 152, 109, 159, 132, 182, 126, 176, 107, 157, 123, 173, 129, 179, 115, 165, 138, 188, 111, 161)(104, 154, 117, 167, 144, 194, 121, 171, 105, 155, 113, 163, 136, 186, 125, 175, 145, 195, 116, 166)(108, 158, 128, 178, 149, 199, 140, 190, 112, 162, 137, 187, 150, 200, 133, 183, 127, 177, 130, 180)(118, 168, 148, 198, 131, 181, 143, 193, 119, 169, 147, 197, 141, 191, 146, 196, 120, 170, 142, 192)
	L = (1, 104)(2, 110)(3, 115)(4, 118)(5, 119)(6, 123)(7, 101)(8, 129)(9, 133)(10, 136)(11, 137)(12, 102)(13, 135)(14, 144)(15, 140)(16, 103)(17, 139)(18, 127)(19, 149)(20, 150)(21, 134)(22, 105)(23, 128)(24, 145)(25, 106)(26, 130)(27, 107)(28, 147)(29, 114)(30, 143)(31, 108)(32, 124)(33, 148)(34, 109)(35, 126)(36, 141)(37, 142)(38, 122)(39, 111)(40, 146)(41, 112)(42, 117)(43, 113)(44, 131)(45, 120)(46, 116)(47, 125)(48, 121)(49, 138)(50, 132)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.562
Graph:: bipartite
	v = 15 e = 100 f = 35
	degree seq :: [ 10^10, 20^5 ]

E26.608 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (Y1^-1, Y3), (R * Y3)^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y1 * Y3^-2 * Y2^2, Y2 * Y3 * Y2^-1 * Y1 * Y3^-1, Y3^-1 * Y1 * Y2^-1 * Y3 * Y2, R * Y2 * Y1^-1 * R * Y2, Y1^5, Y3^5, Y2^-1 * Y1^-1 * Y3^2 * Y2^-1, Y3 * Y1 * Y3 * Y2^2 * Y3, Y1^-1 * Y2^2 * Y1^-2 * Y3^-1 * Y1^-1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 51, 2, 52, 8, 58, 20, 70, 5, 55)(3, 53, 13, 63, 37, 87, 28, 78, 9, 59)(4, 54, 10, 60, 29, 79, 44, 94, 19, 69)(6, 56, 21, 71, 45, 95, 30, 80, 11, 61)(7, 57, 12, 62, 31, 81, 46, 96, 22, 72)(14, 64, 18, 68, 34, 84, 49, 99, 38, 88)(15, 65, 39, 89, 48, 98, 33, 83, 17, 67)(16, 66, 23, 73, 47, 97, 50, 100, 32, 82)(24, 74, 35, 85, 42, 92, 41, 91, 27, 77)(25, 75, 26, 76, 43, 93, 40, 90, 36, 86)(101, 151, 103, 153, 114, 164, 140, 190, 146, 196, 150, 200, 129, 179, 148, 198, 124, 174, 106, 156)(102, 152, 109, 159, 118, 168, 143, 193, 122, 172, 147, 197, 144, 194, 139, 189, 135, 185, 111, 161)(104, 154, 117, 167, 141, 191, 145, 195, 120, 170, 137, 187, 149, 199, 125, 175, 112, 162, 116, 166)(105, 155, 113, 163, 138, 188, 136, 186, 131, 181, 132, 182, 110, 160, 133, 183, 127, 177, 121, 171)(107, 157, 123, 173, 119, 169, 115, 165, 142, 192, 130, 180, 108, 158, 128, 178, 134, 184, 126, 176)
	L = (1, 104)(2, 110)(3, 115)(4, 118)(5, 119)(6, 123)(7, 101)(8, 129)(9, 117)(10, 134)(11, 116)(12, 102)(13, 139)(14, 141)(15, 136)(16, 103)(17, 140)(18, 127)(19, 114)(20, 144)(21, 147)(22, 105)(23, 113)(24, 112)(25, 106)(26, 121)(27, 107)(28, 133)(29, 149)(30, 132)(31, 108)(32, 109)(33, 143)(34, 124)(35, 131)(36, 111)(37, 148)(38, 142)(39, 125)(40, 130)(41, 122)(42, 146)(43, 145)(44, 138)(45, 150)(46, 120)(47, 137)(48, 126)(49, 135)(50, 128)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.582
Graph:: bipartite
	v = 15 e = 100 f = 35
	degree seq :: [ 10^10, 20^5 ]

E26.609 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, (Y1, Y3), (Y2 * Y3^-1)^2, (R * Y1)^2, Y1 * Y2 * Y1 * Y2^-1, (R * Y3)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y3^2, R * Y2 * Y1 * R * Y2, Y2 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, Y1^5, Y3^5, Y2 * Y1^-2 * Y3^-2 * Y1 * Y2, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-2 * Y1^-1, Y2^10 ]
Map:: polytopal non-degenerate
	R = (1, 51, 2, 52, 8, 58, 20, 70, 5, 55)(3, 53, 13, 63, 37, 87, 28, 78, 9, 59)(4, 54, 10, 60, 29, 79, 44, 94, 19, 69)(6, 56, 21, 71, 45, 95, 30, 80, 11, 61)(7, 57, 12, 62, 31, 81, 46, 96, 22, 72)(14, 64, 32, 82, 49, 99, 43, 93, 18, 68)(15, 65, 17, 67, 42, 92, 48, 98, 33, 83)(16, 66, 38, 88, 50, 100, 34, 84, 23, 73)(24, 74, 27, 77, 36, 86, 40, 90, 47, 97)(25, 75, 41, 91, 39, 89, 35, 85, 26, 76)(101, 151, 103, 153, 114, 164, 139, 189, 131, 181, 150, 200, 144, 194, 148, 198, 124, 174, 106, 156)(102, 152, 109, 159, 132, 182, 141, 191, 146, 196, 138, 188, 119, 169, 142, 192, 127, 177, 111, 161)(104, 154, 117, 167, 136, 186, 130, 180, 108, 158, 128, 178, 149, 199, 125, 175, 122, 172, 116, 166)(105, 155, 113, 163, 118, 168, 135, 185, 112, 162, 134, 184, 129, 179, 133, 183, 147, 197, 121, 171)(107, 157, 123, 173, 110, 160, 115, 165, 140, 190, 145, 195, 120, 170, 137, 187, 143, 193, 126, 176)
	L = (1, 104)(2, 110)(3, 115)(4, 118)(5, 119)(6, 123)(7, 101)(8, 129)(9, 133)(10, 114)(11, 134)(12, 102)(13, 117)(14, 136)(15, 141)(16, 103)(17, 139)(18, 127)(19, 143)(20, 144)(21, 116)(22, 105)(23, 109)(24, 122)(25, 106)(26, 111)(27, 107)(28, 148)(29, 132)(30, 150)(31, 108)(32, 140)(33, 125)(34, 128)(35, 130)(36, 112)(37, 142)(38, 113)(39, 145)(40, 131)(41, 121)(42, 135)(43, 124)(44, 149)(45, 138)(46, 120)(47, 146)(48, 126)(49, 147)(50, 137)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.574
Graph:: bipartite
	v = 15 e = 100 f = 35
	degree seq :: [ 10^10, 20^5 ]

E26.610 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, (Y2 * Y1^-1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y1)^2, Y1^5, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1^-1, (Y3^-1 * Y1^-1)^5, Y2^10 ]
Map:: non-degenerate
	R = (1, 51, 2, 52, 6, 56, 12, 62, 4, 54)(3, 53, 9, 59, 22, 72, 20, 70, 8, 58)(5, 55, 11, 61, 25, 75, 30, 80, 14, 64)(7, 57, 18, 68, 36, 86, 34, 84, 17, 67)(10, 60, 19, 69, 33, 83, 41, 91, 24, 74)(13, 63, 26, 76, 42, 92, 45, 95, 28, 78)(15, 65, 21, 71, 35, 85, 44, 94, 29, 79)(16, 66, 32, 82, 48, 98, 43, 93, 27, 77)(23, 73, 37, 87, 49, 99, 47, 97, 40, 90)(31, 81, 38, 88, 39, 89, 50, 100, 46, 96)(101, 151, 103, 153, 110, 160, 118, 168, 137, 187, 148, 198, 146, 196, 128, 178, 115, 165, 105, 155)(102, 152, 107, 157, 119, 169, 132, 182, 149, 199, 145, 195, 131, 181, 114, 164, 121, 171, 108, 158)(104, 154, 111, 161, 124, 174, 109, 159, 123, 173, 136, 186, 150, 200, 143, 193, 129, 179, 113, 163)(106, 156, 116, 166, 133, 183, 142, 192, 147, 197, 130, 180, 138, 188, 120, 170, 135, 185, 117, 167)(112, 162, 126, 176, 141, 191, 125, 175, 140, 190, 122, 172, 139, 189, 134, 184, 144, 194, 127, 177)
	L = (1, 102)(2, 106)(3, 109)(4, 101)(5, 111)(6, 112)(7, 118)(8, 103)(9, 122)(10, 119)(11, 125)(12, 104)(13, 126)(14, 105)(15, 121)(16, 132)(17, 107)(18, 136)(19, 133)(20, 108)(21, 135)(22, 120)(23, 137)(24, 110)(25, 130)(26, 142)(27, 116)(28, 113)(29, 115)(30, 114)(31, 138)(32, 148)(33, 141)(34, 117)(35, 144)(36, 134)(37, 149)(38, 139)(39, 150)(40, 123)(41, 124)(42, 145)(43, 127)(44, 129)(45, 128)(46, 131)(47, 140)(48, 143)(49, 147)(50, 146)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.580
Graph:: bipartite
	v = 15 e = 100 f = 35
	degree seq :: [ 10^10, 20^5 ]

E26.611 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2 * Y3^-1, (Y3^-1 * Y2)^2, Y3 * Y1 * Y2^-2, (R * Y1)^2, Y3 * Y2 * Y1^-1 * Y2^-1, (R * Y3)^2, Y1^5, Y3^5, Y2^-1 * Y1^2 * Y2 * Y3^-2, Y1^2 * Y3 * Y1^-2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2^10 ]
Map:: non-degenerate
	R = (1, 51, 2, 52, 8, 58, 17, 67, 5, 55)(3, 53, 13, 63, 30, 80, 28, 78, 11, 61)(4, 54, 10, 60, 23, 73, 34, 84, 16, 66)(6, 56, 14, 64, 31, 81, 39, 89, 20, 70)(7, 57, 12, 62, 25, 75, 36, 86, 19, 69)(9, 59, 26, 76, 44, 94, 42, 92, 24, 74)(15, 65, 27, 77, 41, 91, 46, 96, 33, 83)(18, 68, 32, 82, 45, 95, 49, 99, 37, 87)(21, 71, 29, 79, 43, 93, 48, 98, 38, 88)(22, 72, 40, 90, 50, 100, 47, 97, 35, 85)(101, 151, 103, 153, 110, 160, 126, 176, 141, 191, 150, 200, 148, 198, 137, 187, 119, 169, 106, 156)(102, 152, 109, 159, 123, 173, 140, 190, 146, 196, 149, 199, 138, 188, 120, 170, 107, 157, 111, 161)(104, 154, 113, 163, 127, 177, 144, 194, 143, 193, 147, 197, 136, 186, 118, 168, 105, 155, 114, 164)(108, 158, 122, 172, 134, 184, 145, 195, 133, 183, 139, 189, 121, 171, 128, 178, 112, 162, 124, 174)(115, 165, 130, 180, 129, 179, 142, 192, 125, 175, 135, 185, 117, 167, 132, 182, 116, 166, 131, 181)
	L = (1, 104)(2, 110)(3, 109)(4, 115)(5, 116)(6, 111)(7, 101)(8, 123)(9, 122)(10, 127)(11, 124)(12, 102)(13, 126)(14, 103)(15, 121)(16, 133)(17, 134)(18, 106)(19, 105)(20, 128)(21, 107)(22, 132)(23, 141)(24, 135)(25, 108)(26, 140)(27, 129)(28, 142)(29, 112)(30, 144)(31, 113)(32, 114)(33, 138)(34, 146)(35, 118)(36, 117)(37, 120)(38, 119)(39, 130)(40, 145)(41, 143)(42, 147)(43, 125)(44, 150)(45, 131)(46, 148)(47, 137)(48, 136)(49, 139)(50, 149)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.568
Graph:: bipartite
	v = 15 e = 100 f = 35
	degree seq :: [ 10^10, 20^5 ]

E26.612 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2 * Y3^-1 * Y2^-1, (Y1^-1, Y3^-1), Y3 * Y2 * Y1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y2^2 * Y3^-1 * Y1, Y3^5, Y1^5, Y1^-2 * R * Y2 * R * Y2^-1, (R * Y2 * Y3^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 51, 2, 52, 8, 58, 18, 68, 5, 55)(3, 53, 13, 63, 30, 80, 36, 86, 16, 66)(4, 54, 10, 60, 23, 73, 34, 84, 14, 64)(6, 56, 20, 70, 39, 89, 26, 76, 9, 59)(7, 57, 12, 62, 25, 75, 37, 87, 19, 69)(11, 61, 28, 78, 44, 94, 40, 90, 22, 72)(15, 65, 31, 81, 45, 95, 48, 98, 32, 82)(17, 67, 27, 77, 41, 91, 46, 96, 33, 83)(21, 71, 29, 79, 43, 93, 49, 99, 38, 88)(24, 74, 42, 92, 50, 100, 47, 97, 35, 85)(101, 151, 103, 153, 114, 164, 132, 182, 146, 196, 150, 200, 143, 193, 128, 178, 112, 162, 106, 156)(102, 152, 109, 159, 104, 154, 116, 166, 133, 183, 148, 198, 149, 199, 142, 192, 125, 175, 111, 161)(105, 155, 115, 165, 134, 184, 147, 197, 141, 191, 144, 194, 129, 179, 120, 170, 107, 157, 113, 163)(108, 158, 122, 172, 110, 160, 126, 176, 117, 167, 136, 186, 138, 188, 145, 195, 137, 187, 124, 174)(118, 168, 135, 185, 123, 173, 140, 190, 127, 177, 139, 189, 121, 171, 130, 180, 119, 169, 131, 181)
	L = (1, 104)(2, 110)(3, 115)(4, 117)(5, 114)(6, 113)(7, 101)(8, 123)(9, 103)(10, 127)(11, 106)(12, 102)(13, 131)(14, 133)(15, 135)(16, 132)(17, 121)(18, 134)(19, 105)(20, 130)(21, 107)(22, 109)(23, 141)(24, 111)(25, 108)(26, 116)(27, 129)(28, 120)(29, 112)(30, 145)(31, 124)(32, 147)(33, 138)(34, 146)(35, 122)(36, 148)(37, 118)(38, 119)(39, 136)(40, 126)(41, 143)(42, 128)(43, 125)(44, 139)(45, 142)(46, 149)(47, 140)(48, 150)(49, 137)(50, 144)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.569
Graph:: bipartite
	v = 15 e = 100 f = 35
	degree seq :: [ 10^10, 20^5 ]

E26.613 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3 * Y1, Y1 * Y3^-2, (Y2^-1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y2^-2 * Y1^-1 * Y2^2, Y2^2 * Y3^-1 * Y2^-2 * Y3, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y1 * Y2^-3, Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2, Y2^-3 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 51, 2, 52, 7, 57, 4, 54, 5, 55)(3, 53, 10, 60, 14, 64, 12, 62, 13, 63)(6, 56, 18, 68, 22, 72, 19, 69, 20, 70)(8, 58, 24, 74, 17, 67, 26, 76, 27, 77)(9, 59, 28, 78, 31, 81, 15, 65, 29, 79)(11, 61, 25, 75, 36, 86, 34, 84, 35, 85)(16, 66, 40, 90, 23, 73, 41, 91, 42, 92)(21, 71, 30, 80, 45, 95, 39, 89, 43, 93)(32, 82, 47, 97, 38, 88, 50, 100, 46, 96)(33, 83, 48, 98, 44, 94, 37, 87, 49, 99)(101, 151, 103, 153, 111, 161, 128, 178, 148, 198, 124, 174, 147, 197, 142, 192, 121, 171, 106, 156)(102, 152, 108, 158, 125, 175, 141, 191, 144, 194, 120, 170, 138, 188, 113, 163, 130, 180, 109, 159)(104, 154, 115, 165, 134, 184, 126, 176, 149, 199, 140, 190, 146, 196, 122, 172, 139, 189, 114, 164)(105, 155, 116, 166, 135, 185, 118, 168, 133, 183, 110, 160, 132, 182, 131, 181, 143, 193, 117, 167)(107, 157, 119, 169, 136, 186, 112, 162, 137, 187, 129, 179, 150, 200, 127, 177, 145, 195, 123, 173)
	L = (1, 104)(2, 105)(3, 112)(4, 102)(5, 107)(6, 119)(7, 101)(8, 126)(9, 115)(10, 113)(11, 134)(12, 110)(13, 114)(14, 103)(15, 128)(16, 141)(17, 108)(18, 120)(19, 118)(20, 122)(21, 139)(22, 106)(23, 116)(24, 127)(25, 135)(26, 124)(27, 117)(28, 129)(29, 131)(30, 143)(31, 109)(32, 150)(33, 137)(34, 125)(35, 136)(36, 111)(37, 148)(38, 132)(39, 130)(40, 142)(41, 140)(42, 123)(43, 145)(44, 133)(45, 121)(46, 138)(47, 146)(48, 149)(49, 144)(50, 147)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.577
Graph:: bipartite
	v = 15 e = 100 f = 35
	degree seq :: [ 10^10, 20^5 ]

E26.614 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y1, Y3^-1), Y1^2 * Y2^2 * Y3^-1, Y1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3^5, Y1^2 * Y3^-1 * Y2^2, Y1^5, Y2 * Y1^-1 * Y2^3 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2, Y1 * Y2^-1 * Y1^2 * Y2^-1 * Y1^2 * Y2^-1 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 51, 2, 52, 8, 58, 22, 72, 5, 55)(3, 53, 13, 63, 26, 76, 18, 68, 16, 66)(4, 54, 10, 60, 32, 82, 14, 64, 20, 70)(6, 56, 25, 75, 30, 80, 17, 67, 27, 77)(7, 57, 12, 62, 28, 78, 39, 89, 24, 74)(9, 59, 33, 83, 23, 73, 35, 85, 34, 84)(11, 61, 37, 87, 40, 90, 15, 65, 38, 88)(19, 69, 36, 86, 49, 99, 43, 93, 44, 94)(21, 71, 46, 96, 29, 79, 45, 95, 47, 97)(31, 81, 41, 91, 50, 100, 42, 92, 48, 98)(101, 151, 103, 153, 114, 164, 137, 187, 136, 186, 133, 183, 148, 198, 147, 197, 128, 178, 106, 156)(102, 152, 109, 159, 120, 170, 145, 195, 149, 199, 127, 177, 131, 181, 116, 166, 139, 189, 111, 161)(104, 154, 118, 168, 143, 193, 138, 188, 141, 191, 134, 184, 124, 174, 129, 179, 108, 158, 117, 167)(105, 155, 121, 171, 132, 182, 125, 175, 119, 169, 113, 163, 142, 192, 140, 190, 112, 162, 123, 173)(107, 157, 126, 176, 122, 172, 115, 165, 110, 160, 135, 185, 144, 194, 146, 196, 150, 200, 130, 180)
	L = (1, 104)(2, 110)(3, 115)(4, 119)(5, 120)(6, 126)(7, 101)(8, 132)(9, 121)(10, 136)(11, 123)(12, 102)(13, 138)(14, 143)(15, 109)(16, 140)(17, 103)(18, 137)(19, 131)(20, 144)(21, 117)(22, 114)(23, 129)(24, 105)(25, 118)(26, 111)(27, 113)(28, 108)(29, 106)(30, 116)(31, 107)(32, 149)(33, 146)(34, 147)(35, 145)(36, 141)(37, 135)(38, 133)(39, 122)(40, 134)(41, 112)(42, 139)(43, 142)(44, 148)(45, 125)(46, 127)(47, 130)(48, 124)(49, 150)(50, 128)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.583
Graph:: bipartite
	v = 15 e = 100 f = 35
	degree seq :: [ 10^10, 20^5 ]

E26.615 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y1, Y3^-1), Y3^-1 * Y2^2 * Y1^-2, Y1 * Y3 * Y2^-2 * Y1, Y1^5, Y1 * Y2 * Y3 * Y2 * Y3^-1, Y3^5, Y1^-1 * Y3 * Y1^-1 * Y2^-2 * Y1^-1, Y1 * Y2 * Y1 * Y2^3, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1 * Y2^-1)^2, Y3^-1 * Y2^-2 * Y3^-1 * Y2 * Y1 * Y2 * Y3^-1, Y1^-1 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 51, 2, 52, 8, 58, 22, 72, 5, 55)(3, 53, 13, 63, 18, 68, 26, 76, 16, 66)(4, 54, 10, 60, 14, 64, 34, 84, 20, 70)(6, 56, 25, 75, 17, 67, 30, 80, 27, 77)(7, 57, 12, 62, 32, 82, 28, 78, 24, 74)(9, 59, 33, 83, 36, 86, 29, 79, 35, 85)(11, 61, 38, 88, 21, 71, 40, 90, 39, 89)(15, 65, 42, 92, 43, 93, 23, 73, 45, 95)(19, 69, 37, 87, 44, 94, 49, 99, 47, 97)(31, 81, 41, 91, 46, 96, 50, 100, 48, 98)(101, 151, 103, 153, 114, 164, 143, 193, 147, 197, 138, 188, 141, 191, 133, 183, 128, 178, 106, 156)(102, 152, 109, 159, 134, 184, 127, 177, 119, 169, 116, 166, 146, 196, 142, 192, 124, 174, 111, 161)(104, 154, 118, 168, 144, 194, 145, 195, 148, 198, 140, 190, 112, 162, 129, 179, 122, 172, 117, 167)(105, 155, 121, 171, 110, 160, 136, 186, 149, 199, 125, 175, 131, 181, 113, 163, 132, 182, 123, 173)(107, 157, 126, 176, 108, 158, 115, 165, 120, 170, 139, 189, 137, 187, 135, 185, 150, 200, 130, 180)
	L = (1, 104)(2, 110)(3, 115)(4, 119)(5, 120)(6, 126)(7, 101)(8, 114)(9, 117)(10, 137)(11, 129)(12, 102)(13, 142)(14, 144)(15, 121)(16, 145)(17, 103)(18, 143)(19, 131)(20, 147)(21, 109)(22, 134)(23, 111)(24, 105)(25, 116)(26, 123)(27, 118)(28, 122)(29, 106)(30, 113)(31, 107)(32, 108)(33, 130)(34, 149)(35, 125)(36, 127)(37, 141)(38, 135)(39, 136)(40, 133)(41, 112)(42, 140)(43, 139)(44, 146)(45, 138)(46, 132)(47, 148)(48, 124)(49, 150)(50, 128)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.584
Graph:: bipartite
	v = 15 e = 100 f = 35
	degree seq :: [ 10^10, 20^5 ]

E26.616 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-1 * Y1, Y1 * Y3^2, (Y3 * Y2^-1)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y3^-1 * Y2^-2 * Y3 * Y2, Y1 * Y2 * Y1 * Y2^3, Y2^2 * Y3 * Y2^-2 * Y3^-1, Y1^-1 * Y2^-2 * Y1 * Y2^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-2, (R * Y2 * Y3^-1)^2, (Y2 * R * Y2^-1 * Y1^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^4 ]
Map:: non-degenerate
	R = (1, 51, 2, 52, 4, 54, 7, 57, 5, 55)(3, 53, 10, 60, 12, 62, 14, 64, 13, 63)(6, 56, 18, 68, 19, 69, 22, 72, 20, 70)(8, 58, 24, 74, 26, 76, 23, 73, 27, 77)(9, 59, 28, 78, 16, 66, 31, 81, 29, 79)(11, 61, 25, 75, 35, 85, 37, 87, 36, 86)(15, 65, 42, 92, 34, 84, 17, 67, 43, 93)(21, 71, 30, 80, 41, 91, 45, 95, 32, 82)(33, 83, 47, 97, 39, 89, 46, 96, 50, 100)(38, 88, 44, 94, 49, 99, 40, 90, 48, 98)(101, 151, 103, 153, 111, 161, 134, 184, 149, 199, 128, 178, 147, 197, 124, 174, 121, 171, 106, 156)(102, 152, 108, 158, 125, 175, 120, 170, 140, 190, 113, 163, 139, 189, 142, 192, 130, 180, 109, 159)(104, 154, 115, 165, 135, 185, 129, 179, 148, 198, 127, 177, 146, 196, 122, 172, 141, 191, 114, 164)(105, 155, 116, 166, 136, 186, 126, 176, 144, 194, 118, 168, 133, 183, 110, 160, 132, 182, 117, 167)(107, 157, 119, 169, 137, 187, 112, 162, 138, 188, 143, 193, 150, 200, 131, 181, 145, 195, 123, 173)
	L = (1, 104)(2, 107)(3, 112)(4, 105)(5, 102)(6, 119)(7, 101)(8, 126)(9, 116)(10, 114)(11, 135)(12, 113)(13, 110)(14, 103)(15, 134)(16, 129)(17, 115)(18, 122)(19, 120)(20, 118)(21, 141)(22, 106)(23, 108)(24, 123)(25, 137)(26, 127)(27, 124)(28, 131)(29, 128)(30, 145)(31, 109)(32, 130)(33, 139)(34, 143)(35, 136)(36, 125)(37, 111)(38, 149)(39, 150)(40, 138)(41, 132)(42, 117)(43, 142)(44, 140)(45, 121)(46, 133)(47, 146)(48, 144)(49, 148)(50, 147)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.576
Graph:: bipartite
	v = 15 e = 100 f = 35
	degree seq :: [ 10^10, 20^5 ]

E26.617 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, (Y3, Y1^-1), (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y1)^2, Y1^5, Y3^5, Y3^-1 * Y2^-1 * Y3^-2 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1, Y2 * Y1^-1 * Y2^-2 * Y1 * Y2, Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3^-1 * Y2 * Y1^-2 * Y2 * Y1^-1, Y2 * Y3 * Y1^-2 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 51, 2, 52, 8, 58, 22, 72, 5, 55)(3, 53, 13, 63, 42, 92, 35, 85, 16, 66)(4, 54, 10, 60, 29, 79, 44, 94, 20, 70)(6, 56, 24, 74, 46, 96, 28, 78, 18, 68)(7, 57, 12, 62, 31, 81, 49, 99, 23, 73)(9, 59, 32, 82, 15, 65, 43, 93, 34, 84)(11, 61, 38, 88, 25, 75, 48, 98, 36, 86)(14, 64, 33, 83, 50, 100, 27, 77, 41, 91)(17, 67, 39, 89, 21, 71, 47, 97, 30, 80)(19, 69, 37, 87, 45, 95, 26, 76, 40, 90)(101, 151, 103, 153, 114, 164, 138, 188, 120, 170, 132, 182, 112, 162, 139, 189, 126, 176, 106, 156)(102, 152, 109, 159, 133, 183, 117, 167, 104, 154, 118, 168, 131, 181, 116, 166, 140, 190, 111, 161)(105, 155, 121, 171, 141, 191, 124, 174, 144, 194, 113, 163, 107, 157, 125, 175, 145, 195, 115, 165)(108, 158, 128, 178, 150, 200, 135, 185, 110, 160, 136, 186, 149, 199, 134, 184, 119, 169, 130, 180)(122, 172, 148, 198, 127, 177, 143, 193, 129, 179, 147, 197, 123, 173, 146, 196, 137, 187, 142, 192)
	L = (1, 104)(2, 110)(3, 115)(4, 119)(5, 120)(6, 125)(7, 101)(8, 129)(9, 106)(10, 137)(11, 139)(12, 102)(13, 143)(14, 131)(15, 146)(16, 132)(17, 103)(18, 138)(19, 127)(20, 140)(21, 142)(22, 144)(23, 105)(24, 148)(25, 147)(26, 133)(27, 107)(28, 111)(29, 145)(30, 116)(31, 108)(32, 124)(33, 149)(34, 118)(35, 109)(36, 117)(37, 141)(38, 121)(39, 113)(40, 150)(41, 112)(42, 134)(43, 128)(44, 126)(45, 114)(46, 136)(47, 135)(48, 130)(49, 122)(50, 123)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.578
Graph:: bipartite
	v = 15 e = 100 f = 35
	degree seq :: [ 10^10, 20^5 ]

E26.618 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1), Y2^2 * Y3 * Y1, (R * Y1)^2, Y1^-1 * Y2^-2 * Y3^-1, (R * Y3)^2, (Y3 * Y2^-1)^2, Y1^5, Y3^5, (Y1^-1 * Y3 * Y2)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y1^-2 * Y2 * Y1^-1, Y3^-1 * Y2 * Y1^-1 * Y2 * Y1^-2, Y1 * Y2 * Y1^-1 * Y3^2 * Y1^-1 * Y2^-1, Y2 * Y3^-1 * Y2^-1 * Y3^2 * Y1^-1 * Y3, Y2^10 ]
Map:: non-degenerate
	R = (1, 51, 2, 52, 8, 58, 22, 72, 5, 55)(3, 53, 13, 63, 38, 88, 36, 86, 16, 66)(4, 54, 10, 60, 27, 77, 48, 98, 20, 70)(6, 56, 23, 73, 46, 96, 26, 76, 15, 65)(7, 57, 12, 62, 29, 79, 41, 91, 14, 64)(9, 59, 30, 80, 18, 68, 44, 94, 32, 82)(11, 61, 35, 85, 17, 67, 40, 90, 31, 81)(19, 69, 34, 84, 49, 99, 43, 93, 47, 97)(21, 71, 45, 95, 28, 78, 24, 74, 33, 83)(25, 75, 37, 87, 39, 89, 50, 100, 42, 92)(101, 151, 103, 153, 114, 164, 135, 185, 150, 200, 130, 180, 149, 199, 133, 183, 110, 160, 106, 156)(102, 152, 109, 159, 107, 157, 124, 174, 142, 192, 115, 165, 143, 193, 116, 166, 127, 177, 111, 161)(104, 154, 118, 168, 105, 155, 121, 171, 141, 191, 123, 173, 139, 189, 113, 163, 134, 184, 117, 167)(108, 158, 126, 176, 112, 162, 136, 186, 125, 175, 131, 181, 147, 197, 132, 182, 148, 198, 128, 178)(119, 169, 146, 196, 120, 170, 138, 188, 122, 172, 140, 190, 129, 179, 144, 194, 137, 187, 145, 195)
	L = (1, 104)(2, 110)(3, 115)(4, 119)(5, 120)(6, 124)(7, 101)(8, 127)(9, 131)(10, 134)(11, 136)(12, 102)(13, 106)(14, 105)(15, 128)(16, 126)(17, 103)(18, 135)(19, 125)(20, 147)(21, 130)(22, 148)(23, 133)(24, 132)(25, 107)(26, 145)(27, 149)(28, 144)(29, 108)(30, 111)(31, 138)(32, 140)(33, 109)(34, 137)(35, 116)(36, 146)(37, 112)(38, 123)(39, 129)(40, 113)(41, 122)(42, 114)(43, 150)(44, 117)(45, 118)(46, 121)(47, 142)(48, 143)(49, 139)(50, 141)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.566
Graph:: bipartite
	v = 15 e = 100 f = 35
	degree seq :: [ 10^10, 20^5 ]

E26.619 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2 * Y3, (Y3^-1, Y1), (Y3^-1 * Y2)^2, (R * Y3)^2, Y2^-2 * Y3^-1 * Y1, (R * Y1)^2, Y1^5, Y3^5, Y2^-1 * Y1^-2 * Y2^-1 * Y3^-2, (Y2^-1 * Y1^-1 * R)^2, Y1^-2 * Y3 * Y2^-1 * Y1^-1 * Y2^-1, Y3 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y3, (R * Y2 * Y3^-1)^2, Y3^2 * Y2^-1 * Y1^-1 * Y3^-2 * Y2^-1, Y1 * Y2^-1 * Y1 * Y2^5 ]
Map:: polytopal non-degenerate
	R = (1, 51, 2, 52, 8, 58, 20, 70, 5, 55)(3, 53, 13, 63, 38, 88, 28, 78, 15, 65)(4, 54, 10, 60, 27, 77, 39, 89, 18, 68)(6, 56, 14, 64, 40, 90, 33, 83, 24, 74)(7, 57, 12, 62, 29, 79, 47, 97, 22, 72)(9, 59, 30, 80, 23, 73, 42, 92, 32, 82)(11, 61, 31, 81, 19, 69, 45, 95, 36, 86)(16, 66, 35, 85, 21, 71, 46, 96, 26, 76)(17, 67, 34, 84, 41, 91, 50, 100, 43, 93)(25, 75, 37, 87, 49, 99, 44, 94, 48, 98)(101, 151, 103, 153, 112, 162, 135, 185, 149, 199, 131, 181, 150, 200, 130, 180, 118, 168, 106, 156)(102, 152, 109, 159, 129, 179, 124, 174, 144, 194, 115, 165, 143, 193, 116, 166, 104, 154, 111, 161)(105, 155, 119, 169, 107, 157, 123, 173, 137, 187, 114, 164, 141, 191, 113, 163, 139, 189, 121, 171)(108, 158, 126, 176, 147, 197, 136, 186, 148, 198, 132, 182, 117, 167, 133, 183, 110, 160, 128, 178)(120, 170, 140, 190, 122, 172, 138, 188, 125, 175, 146, 196, 134, 184, 145, 195, 127, 177, 142, 192)
	L = (1, 104)(2, 110)(3, 114)(4, 117)(5, 118)(6, 123)(7, 101)(8, 127)(9, 131)(10, 134)(11, 135)(12, 102)(13, 140)(14, 142)(15, 106)(16, 103)(17, 125)(18, 143)(19, 146)(20, 139)(21, 138)(22, 105)(23, 145)(24, 130)(25, 107)(26, 115)(27, 141)(28, 124)(29, 108)(30, 119)(31, 121)(32, 111)(33, 109)(34, 137)(35, 113)(36, 116)(37, 112)(38, 133)(39, 150)(40, 132)(41, 149)(42, 136)(43, 148)(44, 147)(45, 126)(46, 128)(47, 120)(48, 122)(49, 129)(50, 144)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.588
Graph:: bipartite
	v = 15 e = 100 f = 35
	degree seq :: [ 10^10, 20^5 ]

E26.620 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, (Y1, Y3), Y1 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y1)^2, Y1^5, Y3^5, Y1 * Y2^2 * Y1 * Y3^2, Y1^-1 * Y3 * Y2^-1 * Y1^-2 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^4 * Y1^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y3^-1, Y3 * Y1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1, Y3^-1 * Y1^2 * Y2^-2 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 51, 2, 52, 8, 58, 21, 71, 5, 55)(3, 53, 13, 63, 42, 92, 30, 80, 15, 65)(4, 54, 10, 60, 29, 79, 50, 100, 19, 69)(6, 56, 17, 67, 47, 97, 38, 88, 25, 75)(7, 57, 12, 62, 31, 81, 43, 93, 23, 73)(9, 59, 32, 82, 16, 66, 44, 94, 34, 84)(11, 61, 36, 86, 20, 70, 48, 98, 39, 89)(14, 64, 33, 83, 27, 77, 41, 91, 45, 95)(18, 68, 37, 87, 26, 76, 40, 90, 49, 99)(22, 72, 46, 96, 28, 78, 24, 74, 35, 85)(101, 151, 103, 153, 114, 164, 135, 185, 110, 160, 136, 186, 123, 173, 132, 182, 126, 176, 106, 156)(102, 152, 109, 159, 133, 183, 125, 175, 129, 179, 115, 165, 107, 157, 124, 174, 140, 190, 111, 161)(104, 154, 117, 167, 143, 193, 113, 163, 137, 187, 122, 172, 105, 155, 120, 170, 145, 195, 116, 166)(108, 158, 128, 178, 127, 177, 139, 189, 150, 200, 134, 184, 112, 162, 138, 188, 149, 199, 130, 180)(118, 168, 144, 194, 121, 171, 147, 197, 141, 191, 142, 192, 119, 169, 146, 196, 131, 181, 148, 198)
	L = (1, 104)(2, 110)(3, 111)(4, 118)(5, 119)(6, 124)(7, 101)(8, 129)(9, 130)(10, 137)(11, 138)(12, 102)(13, 136)(14, 143)(15, 139)(16, 103)(17, 135)(18, 127)(19, 149)(20, 106)(21, 150)(22, 132)(23, 105)(24, 134)(25, 128)(26, 145)(27, 107)(28, 144)(29, 126)(30, 148)(31, 108)(32, 115)(33, 123)(34, 142)(35, 109)(36, 125)(37, 141)(38, 146)(39, 147)(40, 114)(41, 112)(42, 120)(43, 121)(44, 113)(45, 131)(46, 116)(47, 122)(48, 117)(49, 133)(50, 140)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.564
Graph:: bipartite
	v = 15 e = 100 f = 35
	degree seq :: [ 10^10, 20^5 ]

E26.621 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (Y2^-1 * Y3)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, (Y3^-1, Y1^-1), Y3 * Y1^-1 * Y3 * Y2^2, Y3^5, Y1^5, Y1^2 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^2 * Y1 * Y2 * Y3^-1 * Y2^-1, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y2^10 ]
Map:: polytopal non-degenerate
	R = (1, 51, 2, 52, 8, 58, 22, 72, 5, 55)(3, 53, 13, 63, 40, 90, 28, 78, 16, 66)(4, 54, 10, 60, 31, 81, 44, 94, 20, 70)(6, 56, 24, 74, 18, 68, 35, 85, 9, 59)(7, 57, 12, 62, 32, 82, 47, 97, 23, 73)(11, 61, 39, 89, 37, 87, 17, 67, 30, 80)(14, 64, 33, 83, 48, 98, 45, 95, 29, 79)(15, 65, 41, 91, 49, 99, 36, 86, 27, 77)(19, 69, 38, 88, 50, 100, 42, 92, 26, 76)(21, 71, 34, 84, 25, 75, 46, 96, 43, 93)(101, 151, 103, 153, 114, 164, 143, 193, 131, 181, 149, 199, 147, 197, 139, 189, 126, 176, 106, 156)(102, 152, 109, 159, 133, 183, 116, 166, 144, 194, 146, 196, 123, 173, 141, 191, 119, 169, 111, 161)(104, 154, 118, 168, 112, 162, 140, 190, 150, 200, 134, 184, 122, 172, 127, 177, 145, 195, 117, 167)(105, 155, 121, 171, 129, 179, 136, 186, 110, 160, 137, 187, 132, 182, 124, 174, 142, 192, 113, 163)(107, 157, 125, 175, 138, 188, 115, 165, 108, 158, 130, 180, 148, 198, 135, 185, 120, 170, 128, 178)
	L = (1, 104)(2, 110)(3, 115)(4, 119)(5, 120)(6, 125)(7, 101)(8, 131)(9, 134)(10, 138)(11, 140)(12, 102)(13, 141)(14, 112)(15, 124)(16, 127)(17, 103)(18, 143)(19, 129)(20, 126)(21, 111)(22, 144)(23, 105)(24, 146)(25, 137)(26, 145)(27, 106)(28, 136)(29, 107)(30, 113)(31, 150)(32, 108)(33, 132)(34, 139)(35, 121)(36, 109)(37, 116)(38, 114)(39, 128)(40, 149)(41, 118)(42, 148)(43, 130)(44, 142)(45, 123)(46, 117)(47, 122)(48, 147)(49, 135)(50, 133)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.567
Graph:: bipartite
	v = 15 e = 100 f = 35
	degree seq :: [ 10^10, 20^5 ]

E26.622 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, (Y1^-1, Y3^-1), (Y3 * Y2^-1)^2, Y1 * Y2^-2 * Y1 * Y3^-1, Y3^5, Y1^5, Y2 * Y1^-1 * Y2 * Y3^2, Y3^-1 * Y2^2 * Y3 * Y2^-2, Y1^-1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^2 * Y2^-1 * Y3^-1 * Y2^-1, Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2^10 ]
Map:: polytopal non-degenerate
	R = (1, 51, 2, 52, 8, 58, 22, 72, 5, 55)(3, 53, 13, 63, 35, 85, 27, 77, 16, 66)(4, 54, 10, 60, 31, 81, 26, 76, 20, 70)(6, 56, 24, 74, 15, 65, 34, 84, 9, 59)(7, 57, 12, 62, 14, 64, 32, 82, 23, 73)(11, 61, 38, 88, 33, 83, 25, 75, 30, 80)(17, 67, 41, 91, 42, 92, 21, 71, 36, 86)(18, 68, 46, 96, 48, 98, 39, 89, 28, 78)(19, 69, 37, 87, 49, 99, 45, 95, 44, 94)(29, 79, 40, 90, 43, 93, 50, 100, 47, 97)(101, 151, 103, 153, 114, 164, 142, 192, 147, 197, 148, 198, 137, 187, 138, 188, 126, 176, 106, 156)(102, 152, 109, 159, 132, 182, 116, 166, 129, 179, 141, 191, 149, 199, 146, 196, 120, 170, 111, 161)(104, 154, 118, 168, 108, 158, 130, 180, 123, 173, 134, 184, 140, 190, 127, 177, 145, 195, 117, 167)(105, 155, 121, 171, 112, 162, 139, 189, 150, 200, 133, 183, 119, 169, 124, 174, 131, 181, 113, 163)(107, 157, 125, 175, 143, 193, 115, 165, 144, 194, 135, 185, 110, 160, 136, 186, 122, 172, 128, 178)
	L = (1, 104)(2, 110)(3, 115)(4, 119)(5, 120)(6, 125)(7, 101)(8, 131)(9, 133)(10, 137)(11, 139)(12, 102)(13, 134)(14, 108)(15, 111)(16, 124)(17, 103)(18, 142)(19, 129)(20, 144)(21, 127)(22, 126)(23, 105)(24, 130)(25, 146)(26, 145)(27, 106)(28, 141)(29, 107)(30, 148)(31, 149)(32, 122)(33, 118)(34, 138)(35, 109)(36, 116)(37, 140)(38, 128)(39, 117)(40, 112)(41, 113)(42, 135)(43, 114)(44, 147)(45, 150)(46, 121)(47, 123)(48, 136)(49, 143)(50, 132)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.565
Graph:: bipartite
	v = 15 e = 100 f = 35
	degree seq :: [ 10^10, 20^5 ]

E26.623 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (Y2 * Y1^-1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y3^-1, Y1^-1), Y1 * Y2^2 * Y1 * Y3, Y3^5, Y1 * Y2 * Y3^2 * Y2, Y1^5, Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y2 * Y3, Y1^-1 * Y3 * Y1^-1 * Y2^2 * Y1^-1, Y3^-1 * Y2^2 * Y3 * Y2^-2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3 * Y1^-1 * Y2^-1 * Y1^-1, Y2^10 ]
Map:: polytopal non-degenerate
	R = (1, 51, 2, 52, 8, 58, 21, 71, 5, 55)(3, 53, 13, 63, 27, 77, 36, 86, 11, 61)(4, 54, 10, 60, 26, 76, 37, 87, 19, 69)(6, 56, 20, 70, 35, 85, 15, 65, 25, 75)(7, 57, 12, 62, 31, 81, 14, 64, 23, 73)(9, 59, 32, 82, 38, 88, 16, 66, 30, 80)(17, 67, 28, 78, 43, 93, 48, 98, 33, 83)(18, 68, 34, 84, 42, 92, 50, 100, 45, 95)(22, 72, 39, 89, 24, 74, 44, 94, 46, 96)(29, 79, 40, 90, 49, 99, 41, 91, 47, 97)(101, 151, 103, 153, 114, 164, 132, 182, 140, 190, 148, 198, 145, 195, 146, 196, 126, 176, 106, 156)(102, 152, 109, 159, 123, 173, 143, 193, 149, 199, 144, 194, 118, 168, 125, 175, 137, 187, 111, 161)(104, 154, 117, 167, 121, 171, 139, 189, 112, 162, 135, 185, 147, 197, 127, 177, 142, 192, 116, 166)(105, 155, 120, 170, 131, 181, 113, 163, 129, 179, 138, 188, 150, 200, 133, 183, 110, 160, 122, 172)(107, 157, 124, 174, 141, 191, 115, 165, 134, 184, 136, 186, 119, 169, 130, 180, 108, 158, 128, 178)
	L = (1, 104)(2, 110)(3, 115)(4, 118)(5, 119)(6, 124)(7, 101)(8, 126)(9, 127)(10, 134)(11, 135)(12, 102)(13, 125)(14, 121)(15, 122)(16, 103)(17, 132)(18, 129)(19, 145)(20, 144)(21, 137)(22, 143)(23, 105)(24, 133)(25, 139)(26, 142)(27, 106)(28, 138)(29, 107)(30, 113)(31, 108)(32, 136)(33, 109)(34, 140)(35, 146)(36, 120)(37, 150)(38, 111)(39, 148)(40, 112)(41, 114)(42, 149)(43, 116)(44, 117)(45, 147)(46, 128)(47, 123)(48, 130)(49, 131)(50, 141)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.579
Graph:: bipartite
	v = 15 e = 100 f = 35
	degree seq :: [ 10^10, 20^5 ]

E26.624 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = D10 x D10 (small group id <100, 13>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y3)^2, (Y1^-1, Y3), (Y2 * Y1^-1)^2, Y3 * Y2^2 * Y1 * Y3, Y2^-2 * Y1^-1 * Y3^-2, Y1^5, Y1 * Y2 * Y3 * Y2 * Y1, Y3^5, R * Y3^-1 * Y1 * Y2^-1 * R * Y2^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y2^10 ]
Map:: polytopal non-degenerate
	R = (1, 51, 2, 52, 8, 58, 21, 71, 5, 55)(3, 53, 13, 63, 28, 78, 36, 86, 11, 61)(4, 54, 10, 60, 30, 80, 44, 94, 19, 69)(6, 56, 20, 70, 34, 84, 17, 67, 25, 75)(7, 57, 12, 62, 32, 82, 46, 96, 23, 73)(9, 59, 33, 83, 39, 89, 24, 74, 31, 81)(14, 64, 29, 79, 40, 90, 50, 100, 41, 91)(15, 65, 27, 77, 45, 95, 49, 99, 35, 85)(16, 66, 42, 92, 47, 97, 22, 72, 38, 88)(18, 68, 26, 76, 37, 87, 48, 98, 43, 93)(101, 151, 103, 153, 114, 164, 133, 183, 144, 194, 149, 199, 132, 182, 147, 197, 126, 176, 106, 156)(102, 152, 109, 159, 129, 179, 145, 195, 119, 169, 142, 192, 146, 196, 125, 175, 137, 187, 111, 161)(104, 154, 117, 167, 123, 173, 136, 186, 148, 198, 131, 181, 108, 158, 127, 177, 140, 190, 116, 166)(105, 155, 120, 170, 141, 191, 113, 163, 130, 180, 139, 189, 112, 162, 135, 185, 118, 168, 122, 172)(107, 157, 124, 174, 143, 193, 115, 165, 121, 171, 138, 188, 150, 200, 134, 184, 110, 160, 128, 178)
	L = (1, 104)(2, 110)(3, 115)(4, 118)(5, 119)(6, 124)(7, 101)(8, 130)(9, 122)(10, 126)(11, 135)(12, 102)(13, 127)(14, 123)(15, 125)(16, 103)(17, 133)(18, 129)(19, 143)(20, 131)(21, 144)(22, 136)(23, 105)(24, 142)(25, 139)(26, 140)(27, 106)(28, 145)(29, 107)(30, 137)(31, 147)(32, 108)(33, 138)(34, 109)(35, 117)(36, 149)(37, 150)(38, 111)(39, 116)(40, 112)(41, 146)(42, 113)(43, 114)(44, 148)(45, 120)(46, 121)(47, 128)(48, 141)(49, 134)(50, 132)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.587
Graph:: bipartite
	v = 15 e = 100 f = 35
	degree seq :: [ 10^10, 20^5 ]

E26.625 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C10 x C5 (small group id <50, 5>)
Aut   = C2 x ((C5 x C5) : C2) (small group id <100, 15>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y2)^2, (R * Y3)^2, (Y3, Y2), (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, Y2 * Y1 * Y2^-1 * Y1, Y2^5, Y3^5 ]
Map:: non-degenerate
	R = (1, 51, 2, 52)(3, 53, 7, 57)(4, 54, 8, 58)(5, 55, 9, 59)(6, 56, 10, 60)(11, 61, 19, 69)(12, 62, 20, 70)(13, 63, 21, 71)(14, 64, 22, 72)(15, 65, 23, 73)(16, 66, 24, 74)(17, 67, 25, 75)(18, 68, 26, 76)(27, 77, 35, 85)(28, 78, 36, 86)(29, 79, 37, 87)(30, 80, 38, 88)(31, 81, 39, 89)(32, 82, 40, 90)(33, 83, 41, 91)(34, 84, 42, 92)(43, 93, 47, 97)(44, 94, 48, 98)(45, 95, 49, 99)(46, 96, 50, 100)(101, 151, 103, 153, 111, 161, 116, 166, 105, 155)(102, 152, 107, 157, 119, 169, 124, 174, 109, 159)(104, 154, 112, 162, 127, 177, 132, 182, 115, 165)(106, 156, 113, 163, 128, 178, 133, 183, 117, 167)(108, 158, 120, 170, 135, 185, 140, 190, 123, 173)(110, 160, 121, 171, 136, 186, 141, 191, 125, 175)(114, 164, 129, 179, 143, 193, 145, 195, 131, 181)(118, 168, 130, 180, 144, 194, 146, 196, 134, 184)(122, 172, 137, 187, 147, 197, 149, 199, 139, 189)(126, 176, 138, 188, 148, 198, 150, 200, 142, 192)
	L = (1, 104)(2, 108)(3, 112)(4, 114)(5, 115)(6, 101)(7, 120)(8, 122)(9, 123)(10, 102)(11, 127)(12, 129)(13, 103)(14, 118)(15, 131)(16, 132)(17, 105)(18, 106)(19, 135)(20, 137)(21, 107)(22, 126)(23, 139)(24, 140)(25, 109)(26, 110)(27, 143)(28, 111)(29, 130)(30, 113)(31, 134)(32, 145)(33, 116)(34, 117)(35, 147)(36, 119)(37, 138)(38, 121)(39, 142)(40, 149)(41, 124)(42, 125)(43, 144)(44, 128)(45, 146)(46, 133)(47, 148)(48, 136)(49, 150)(50, 141)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.626
Graph:: simple bipartite
	v = 35 e = 100 f = 15
	degree seq :: [ 4^25, 10^10 ]

E26.626 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 10})
Quotient :: dipole
Aut^+ = C10 x C5 (small group id <50, 5>)
Aut   = C2 x ((C5 x C5) : C2) (small group id <100, 15>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y2)^2, Y2^-1 * Y3^2 * Y2^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2^-1), (Y3, Y1^-1), (Y2^-1, Y1^-1), Y3^-5, Y1^5, Y3^2 * Y1^-2 * Y2^-2 * Y1^2 ]
Map:: non-degenerate
	R = (1, 51, 2, 52, 8, 58, 18, 68, 5, 55)(3, 53, 9, 59, 23, 73, 34, 84, 15, 65)(4, 54, 10, 60, 24, 74, 36, 86, 17, 67)(6, 56, 11, 61, 25, 75, 37, 87, 19, 69)(7, 57, 12, 62, 26, 76, 38, 88, 20, 70)(13, 63, 27, 77, 41, 91, 46, 96, 32, 82)(14, 64, 28, 78, 42, 92, 47, 97, 33, 83)(16, 66, 29, 79, 43, 93, 48, 98, 35, 85)(21, 71, 30, 80, 44, 94, 49, 99, 39, 89)(22, 72, 31, 81, 45, 95, 50, 100, 40, 90)(101, 151, 103, 153, 113, 163, 122, 172, 107, 157, 116, 166, 104, 154, 114, 164, 121, 171, 106, 156)(102, 152, 109, 159, 127, 177, 131, 181, 112, 162, 129, 179, 110, 160, 128, 178, 130, 180, 111, 161)(105, 155, 115, 165, 132, 182, 140, 190, 120, 170, 135, 185, 117, 167, 133, 183, 139, 189, 119, 169)(108, 158, 123, 173, 141, 191, 145, 195, 126, 176, 143, 193, 124, 174, 142, 192, 144, 194, 125, 175)(118, 168, 134, 184, 146, 196, 150, 200, 138, 188, 148, 198, 136, 186, 147, 197, 149, 199, 137, 187)
	L = (1, 104)(2, 110)(3, 114)(4, 113)(5, 117)(6, 116)(7, 101)(8, 124)(9, 128)(10, 127)(11, 129)(12, 102)(13, 121)(14, 122)(15, 133)(16, 103)(17, 132)(18, 136)(19, 135)(20, 105)(21, 107)(22, 106)(23, 142)(24, 141)(25, 143)(26, 108)(27, 130)(28, 131)(29, 109)(30, 112)(31, 111)(32, 139)(33, 140)(34, 147)(35, 115)(36, 146)(37, 148)(38, 118)(39, 120)(40, 119)(41, 144)(42, 145)(43, 123)(44, 126)(45, 125)(46, 149)(47, 150)(48, 134)(49, 138)(50, 137)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.625
Graph:: bipartite
	v = 15 e = 100 f = 35
	degree seq :: [ 10^10, 20^5 ]

E26.627 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 26})
Quotient :: dipole
Aut^+ = C13 : C4 (small group id <52, 1>)
Aut   = (C26 x C2) : C2 (small group id <104, 8>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y1 * Y2, Y3 * Y1 * Y3^-1 * Y1, (R * Y3)^2, Y2 * Y3^-1 * Y2^-1 * Y3^-1, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^13 ]
Map:: non-degenerate
	R = (1, 53, 2, 54)(3, 55, 5, 57)(4, 56, 7, 59)(6, 58, 8, 60)(9, 61, 13, 65)(10, 62, 12, 64)(11, 63, 15, 67)(14, 66, 16, 68)(17, 69, 21, 73)(18, 70, 20, 72)(19, 71, 23, 75)(22, 74, 24, 76)(25, 77, 29, 81)(26, 78, 28, 80)(27, 79, 31, 83)(30, 82, 32, 84)(33, 85, 37, 89)(34, 86, 36, 88)(35, 87, 39, 91)(38, 90, 40, 92)(41, 93, 45, 97)(42, 94, 44, 96)(43, 95, 47, 99)(46, 98, 48, 100)(49, 101, 52, 104)(50, 102, 51, 103)(105, 157, 107, 159, 106, 158, 109, 161)(108, 160, 114, 166, 111, 163, 116, 168)(110, 162, 113, 165, 112, 164, 117, 169)(115, 167, 122, 174, 119, 171, 124, 176)(118, 170, 121, 173, 120, 172, 125, 177)(123, 175, 130, 182, 127, 179, 132, 184)(126, 178, 129, 181, 128, 180, 133, 185)(131, 183, 138, 190, 135, 187, 140, 192)(134, 186, 137, 189, 136, 188, 141, 193)(139, 191, 146, 198, 143, 195, 148, 200)(142, 194, 145, 197, 144, 196, 149, 201)(147, 199, 154, 206, 151, 203, 155, 207)(150, 202, 153, 205, 152, 204, 156, 208)
	L = (1, 108)(2, 111)(3, 113)(4, 115)(5, 117)(6, 105)(7, 119)(8, 106)(9, 121)(10, 107)(11, 123)(12, 109)(13, 125)(14, 110)(15, 127)(16, 112)(17, 129)(18, 114)(19, 131)(20, 116)(21, 133)(22, 118)(23, 135)(24, 120)(25, 137)(26, 122)(27, 139)(28, 124)(29, 141)(30, 126)(31, 143)(32, 128)(33, 145)(34, 130)(35, 147)(36, 132)(37, 149)(38, 134)(39, 151)(40, 136)(41, 153)(42, 138)(43, 150)(44, 140)(45, 156)(46, 142)(47, 152)(48, 144)(49, 154)(50, 146)(51, 148)(52, 155)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 8, 52, 8, 52 ), ( 8, 52, 8, 52, 8, 52, 8, 52 ) }
Outer automorphisms :: reflexible
Dual of E26.628
Graph:: bipartite
	v = 39 e = 104 f = 15
	degree seq :: [ 4^26, 8^13 ]

E26.628 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 26})
Quotient :: dipole
Aut^+ = C13 : C4 (small group id <52, 1>)
Aut   = (C26 x C2) : C2 (small group id <104, 8>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y2^-1), Y2^-1 * Y3 * Y1^-2, (R * Y3)^2, Y2 * Y1^-1 * Y2 * Y1, Y2^-1 * Y1^2 * Y3, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y1^4, Y3^-1 * Y2^2 * Y3^-1, (R * Y2)^2, (R * Y1)^2, Y3^6 * Y2 * Y3^5 * Y2 ]
Map:: non-degenerate
	R = (1, 53, 2, 54, 8, 60, 5, 57)(3, 55, 11, 63, 4, 56, 12, 64)(6, 58, 9, 61, 7, 59, 10, 62)(13, 65, 19, 71, 14, 66, 20, 72)(15, 67, 17, 69, 16, 68, 18, 70)(21, 73, 27, 79, 22, 74, 28, 80)(23, 75, 25, 77, 24, 76, 26, 78)(29, 81, 35, 87, 30, 82, 36, 88)(31, 83, 33, 85, 32, 84, 34, 86)(37, 89, 43, 95, 38, 90, 44, 96)(39, 91, 41, 93, 40, 92, 42, 94)(45, 97, 51, 103, 46, 98, 52, 104)(47, 99, 49, 101, 48, 100, 50, 102)(105, 157, 107, 159, 117, 169, 125, 177, 133, 185, 141, 193, 149, 201, 152, 204, 144, 196, 136, 188, 128, 180, 120, 172, 111, 163, 112, 164, 108, 160, 118, 170, 126, 178, 134, 186, 142, 194, 150, 202, 151, 203, 143, 195, 135, 187, 127, 179, 119, 171, 110, 162)(106, 158, 113, 165, 121, 173, 129, 181, 137, 189, 145, 197, 153, 205, 156, 208, 148, 200, 140, 192, 132, 184, 124, 176, 116, 168, 109, 161, 114, 166, 122, 174, 130, 182, 138, 190, 146, 198, 154, 206, 155, 207, 147, 199, 139, 191, 131, 183, 123, 175, 115, 167)
	L = (1, 108)(2, 114)(3, 118)(4, 117)(5, 113)(6, 112)(7, 105)(8, 107)(9, 122)(10, 121)(11, 109)(12, 106)(13, 126)(14, 125)(15, 111)(16, 110)(17, 130)(18, 129)(19, 116)(20, 115)(21, 134)(22, 133)(23, 120)(24, 119)(25, 138)(26, 137)(27, 124)(28, 123)(29, 142)(30, 141)(31, 128)(32, 127)(33, 146)(34, 145)(35, 132)(36, 131)(37, 150)(38, 149)(39, 136)(40, 135)(41, 154)(42, 153)(43, 140)(44, 139)(45, 151)(46, 152)(47, 144)(48, 143)(49, 155)(50, 156)(51, 148)(52, 147)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.627
Graph:: bipartite
	v = 15 e = 104 f = 39
	degree seq :: [ 8^13, 52^2 ]

E26.629 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 52, 52})
Quotient :: dipole
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 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, Y1^2, R^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^26 * Y1, (Y3 * Y2^-1)^52 ]
Map::
	R = (1, 53, 2, 54)(3, 55, 5, 57)(4, 56, 6, 58)(7, 59, 9, 61)(8, 60, 10, 62)(11, 63, 13, 65)(12, 64, 14, 66)(15, 67, 17, 69)(16, 68, 18, 70)(19, 71, 21, 73)(20, 72, 22, 74)(23, 75, 25, 77)(24, 76, 26, 78)(27, 79, 29, 81)(28, 80, 30, 82)(31, 83, 33, 85)(32, 84, 34, 86)(35, 87, 37, 89)(36, 88, 38, 90)(39, 91, 41, 93)(40, 92, 42, 94)(43, 95, 45, 97)(44, 96, 46, 98)(47, 99, 49, 101)(48, 100, 50, 102)(51, 103, 52, 104)(105, 157, 107, 159, 111, 163, 115, 167, 119, 171, 123, 175, 127, 179, 131, 183, 135, 187, 139, 191, 143, 195, 147, 199, 151, 203, 155, 207, 154, 206, 150, 202, 146, 198, 142, 194, 138, 190, 134, 186, 130, 182, 126, 178, 122, 174, 118, 170, 114, 166, 110, 162, 106, 158, 109, 161, 113, 165, 117, 169, 121, 173, 125, 177, 129, 181, 133, 185, 137, 189, 141, 193, 145, 197, 149, 201, 153, 205, 156, 208, 152, 204, 148, 200, 144, 196, 140, 192, 136, 188, 132, 184, 128, 180, 124, 176, 120, 172, 116, 168, 112, 164, 108, 160)
	L = (1, 105)(2, 106)(3, 107)(4, 108)(5, 109)(6, 110)(7, 111)(8, 112)(9, 113)(10, 114)(11, 115)(12, 116)(13, 117)(14, 118)(15, 119)(16, 120)(17, 121)(18, 122)(19, 123)(20, 124)(21, 125)(22, 126)(23, 127)(24, 128)(25, 129)(26, 130)(27, 131)(28, 132)(29, 133)(30, 134)(31, 135)(32, 136)(33, 137)(34, 138)(35, 139)(36, 140)(37, 141)(38, 142)(39, 143)(40, 144)(41, 145)(42, 146)(43, 147)(44, 148)(45, 149)(46, 150)(47, 151)(48, 152)(49, 153)(50, 154)(51, 155)(52, 156)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 4, 104, 4, 104 ), ( 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 27 e = 104 f = 27
	degree seq :: [ 4^26, 104 ]

E26.630 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {53, 53, 53})
Quotient :: edge
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-2, (F * T2)^2, (F * T1)^2, T1 * T2^26, (T2^-1 * T1^-1)^53 ]
Map:: non-degenerate
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 43, 47, 51, 52, 48, 44, 40, 36, 32, 28, 24, 20, 16, 12, 8, 4, 2, 6, 10, 14, 18, 22, 26, 30, 34, 38, 42, 46, 50, 53, 49, 45, 41, 37, 33, 29, 25, 21, 17, 13, 9, 5)(54, 55, 56, 59, 60, 63, 64, 67, 68, 71, 72, 75, 76, 79, 80, 83, 84, 87, 88, 91, 92, 95, 96, 99, 100, 103, 104, 106, 105, 102, 101, 98, 97, 94, 93, 90, 89, 86, 85, 82, 81, 78, 77, 74, 73, 70, 69, 66, 65, 62, 61, 58, 57)
	L = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)
	local type(s) :: { ( 106^53 ) }
Outer automorphisms :: reflexible
Dual of E26.658
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 53 f = 1
	degree seq :: [ 53^2 ]

E26.631 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {53, 53, 53})
Quotient :: edge
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^2, (F * T1)^2, (F * T2)^2, T1 * T2^-26 ]
Map:: non-degenerate
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 43, 47, 51, 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, 53, 49, 45, 41, 37, 33, 29, 25, 21, 17, 13, 9, 5)(54, 55, 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, 104, 105, 100, 101, 96, 97, 92, 93, 88, 89, 84, 85, 80, 81, 76, 77, 72, 73, 68, 69, 64, 65, 60, 61, 56, 57)
	L = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)
	local type(s) :: { ( 106^53 ) }
Outer automorphisms :: reflexible
Dual of E26.655
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 53 f = 1
	degree seq :: [ 53^2 ]

E26.632 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {53, 53, 53})
Quotient :: edge
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2 * T1^-1 * T2^17, (T1^-1 * T2^-1)^53 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 27, 33, 39, 45, 51, 50, 44, 38, 32, 26, 20, 14, 8, 2, 7, 13, 19, 25, 31, 37, 43, 49, 52, 46, 40, 34, 28, 22, 16, 10, 4, 6, 12, 18, 24, 30, 36, 42, 48, 53, 47, 41, 35, 29, 23, 17, 11, 5)(54, 55, 59, 56, 60, 65, 62, 66, 71, 68, 72, 77, 74, 78, 83, 80, 84, 89, 86, 90, 95, 92, 96, 101, 98, 102, 106, 104, 105, 100, 103, 99, 94, 97, 93, 88, 91, 87, 82, 85, 81, 76, 79, 75, 70, 73, 69, 64, 67, 63, 58, 61, 57)
	L = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)
	local type(s) :: { ( 106^53 ) }
Outer automorphisms :: reflexible
Dual of E26.660
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 53 f = 1
	degree seq :: [ 53^2 ]

E26.633 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {53, 53, 53})
Quotient :: edge
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, T1^-3 * T2^-1, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-1 * T2^-17 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 27, 33, 39, 45, 51, 48, 42, 36, 30, 24, 18, 12, 6, 4, 10, 16, 22, 28, 34, 40, 46, 52, 50, 44, 38, 32, 26, 20, 14, 8, 2, 7, 13, 19, 25, 31, 37, 43, 49, 53, 47, 41, 35, 29, 23, 17, 11, 5)(54, 55, 59, 58, 61, 65, 64, 67, 71, 70, 73, 77, 76, 79, 83, 82, 85, 89, 88, 91, 95, 94, 97, 101, 100, 103, 104, 106, 105, 98, 102, 99, 92, 96, 93, 86, 90, 87, 80, 84, 81, 74, 78, 75, 68, 72, 69, 62, 66, 63, 56, 60, 57)
	L = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)
	local type(s) :: { ( 106^53 ) }
Outer automorphisms :: reflexible
Dual of E26.656
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 53 f = 1
	degree seq :: [ 53^2 ]

E26.634 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {53, 53, 53})
Quotient :: edge
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-1 * T2 * T1^-3, T2 * T1 * T2^12, (T1^-1 * T2^-1)^53 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 49, 44, 36, 28, 20, 12, 4, 10, 18, 26, 34, 42, 50, 53, 51, 43, 35, 27, 19, 11, 6, 14, 22, 30, 38, 46, 52, 48, 40, 32, 24, 16, 8, 2, 7, 15, 23, 31, 39, 47, 45, 37, 29, 21, 13, 5)(54, 55, 59, 63, 56, 60, 67, 71, 62, 68, 75, 79, 70, 76, 83, 87, 78, 84, 91, 95, 86, 92, 99, 103, 94, 100, 105, 106, 102, 98, 101, 104, 97, 90, 93, 96, 89, 82, 85, 88, 81, 74, 77, 80, 73, 66, 69, 72, 65, 58, 61, 64, 57)
	L = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)
	local type(s) :: { ( 106^53 ) }
Outer automorphisms :: reflexible
Dual of E26.662
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 53 f = 1
	degree seq :: [ 53^2 ]

E26.635 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {53, 53, 53})
Quotient :: edge
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1^-1), T1 * T2 * T1^3, T2^-1 * T1 * T2^-12, 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^-2 * T1^2 * T2^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 48, 40, 32, 24, 16, 8, 2, 7, 15, 23, 31, 39, 47, 52, 46, 38, 30, 22, 14, 6, 11, 19, 27, 35, 43, 50, 53, 51, 44, 36, 28, 20, 12, 4, 10, 18, 26, 34, 42, 49, 45, 37, 29, 21, 13, 5)(54, 55, 59, 65, 58, 61, 67, 73, 66, 69, 75, 81, 74, 77, 83, 89, 82, 85, 91, 97, 90, 93, 99, 104, 98, 101, 105, 106, 102, 94, 100, 103, 95, 86, 92, 96, 87, 78, 84, 88, 79, 70, 76, 80, 71, 62, 68, 72, 63, 56, 60, 64, 57)
	L = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)
	local type(s) :: { ( 106^53 ) }
Outer automorphisms :: reflexible
Dual of E26.657
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 53 f = 1
	degree seq :: [ 53^2 ]

E26.636 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {53, 53, 53})
Quotient :: edge
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2 * T1^-2 * T2^-1 * T1^2, T1^-1 * T2 * T1^-4, T2^2 * T1^-1 * T2^-5 * T1 * T2^3, T2^-5 * T1 * T2^-6 * T1, (T1^-1 * T2^-1)^53 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 29, 39, 49, 46, 36, 26, 16, 6, 15, 25, 35, 45, 52, 42, 32, 22, 12, 4, 10, 20, 30, 40, 50, 48, 38, 28, 18, 8, 2, 7, 17, 27, 37, 47, 51, 41, 31, 21, 11, 14, 24, 34, 44, 53, 43, 33, 23, 13, 5)(54, 55, 59, 67, 63, 56, 60, 68, 77, 73, 62, 70, 78, 87, 83, 72, 80, 88, 97, 93, 82, 90, 98, 106, 103, 92, 100, 105, 96, 101, 102, 104, 95, 86, 91, 99, 94, 85, 76, 81, 89, 84, 75, 66, 71, 79, 74, 65, 58, 61, 69, 64, 57)
	L = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)
	local type(s) :: { ( 106^53 ) }
Outer automorphisms :: reflexible
Dual of E26.664
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 53 f = 1
	degree seq :: [ 53^2 ]

E26.637 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {53, 53, 53})
Quotient :: edge
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (F * T1)^2, T2 * T1^2 * T2^-1 * T1^-2, T2^-1 * T1^-5, T1^-1 * T2^4 * T1 * T2^-4, T2^5 * T1 * T2^6 * T1, T1^-1 * T2^-4 * 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 * T1^2 * T2^-2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 29, 39, 49, 44, 34, 24, 14, 11, 21, 31, 41, 51, 48, 38, 28, 18, 8, 2, 7, 17, 27, 37, 47, 52, 42, 32, 22, 12, 4, 10, 20, 30, 40, 50, 46, 36, 26, 16, 6, 15, 25, 35, 45, 53, 43, 33, 23, 13, 5)(54, 55, 59, 67, 65, 58, 61, 69, 77, 75, 66, 71, 79, 87, 85, 76, 81, 89, 97, 95, 86, 91, 99, 102, 105, 96, 101, 103, 92, 100, 106, 104, 93, 82, 90, 98, 94, 83, 72, 80, 88, 84, 73, 62, 70, 78, 74, 63, 56, 60, 68, 64, 57)
	L = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)
	local type(s) :: { ( 106^53 ) }
Outer automorphisms :: reflexible
Dual of E26.659
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 53 f = 1
	degree seq :: [ 53^2 ]

E26.638 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {53, 53, 53})
Quotient :: edge
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-1 * T1^6, T2^8 * T1^-1 * T2, (T1^-1 * T2^-1)^53 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 31, 42, 30, 18, 8, 2, 7, 17, 29, 41, 50, 40, 28, 16, 6, 15, 27, 39, 49, 52, 45, 34, 22, 14, 26, 38, 48, 53, 46, 35, 23, 11, 21, 33, 44, 51, 47, 36, 24, 12, 4, 10, 20, 32, 43, 37, 25, 13, 5)(54, 55, 59, 67, 74, 63, 56, 60, 68, 79, 86, 73, 62, 70, 80, 91, 97, 85, 72, 82, 92, 101, 104, 96, 84, 94, 102, 106, 100, 90, 95, 103, 105, 99, 89, 78, 83, 93, 98, 88, 77, 66, 71, 81, 87, 76, 65, 58, 61, 69, 75, 64, 57)
	L = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)
	local type(s) :: { ( 106^53 ) }
Outer automorphisms :: reflexible
Dual of E26.666
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 53 f = 1
	degree seq :: [ 53^2 ]

E26.639 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {53, 53, 53})
Quotient :: edge
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^3 * T2 * T1^3, T2^-1 * T1^-1 * T2^-8, T1 * T2^-1 * T1 * T2^-3 * T1^2 * T2^-4 * T1, T1 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-1 * T1 * T2^-2 * T1^-1 * T2^-3, T1^-3 * T2^4 * 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 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 31, 43, 36, 24, 12, 4, 10, 20, 32, 44, 51, 47, 35, 23, 11, 21, 33, 45, 52, 48, 38, 26, 14, 22, 34, 46, 53, 50, 40, 28, 16, 6, 15, 27, 39, 49, 42, 30, 18, 8, 2, 7, 17, 29, 41, 37, 25, 13, 5)(54, 55, 59, 67, 76, 65, 58, 61, 69, 79, 88, 77, 66, 71, 81, 91, 100, 89, 78, 83, 93, 101, 104, 96, 90, 95, 103, 105, 97, 84, 94, 102, 106, 98, 85, 72, 82, 92, 99, 86, 73, 62, 70, 80, 87, 74, 63, 56, 60, 68, 75, 64, 57)
	L = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)
	local type(s) :: { ( 106^53 ) }
Outer automorphisms :: reflexible
Dual of E26.661
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 53 f = 1
	degree seq :: [ 53^2 ]

E26.640 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {53, 53, 53})
Quotient :: edge
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (F * T1)^2, T1^-3 * T2 * T1^-4, T2 * T1 * T2 * T1 * T2^3 * T1 * T2^2 * T1, T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-5, T1^-1 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^-2 * T2^2 * T1^-1 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 47, 42, 28, 14, 27, 41, 52, 38, 24, 12, 4, 10, 20, 34, 48, 44, 30, 16, 6, 15, 29, 43, 51, 37, 23, 11, 21, 35, 49, 46, 32, 18, 8, 2, 7, 17, 31, 45, 50, 36, 22, 26, 40, 53, 39, 25, 13, 5)(54, 55, 59, 67, 79, 74, 63, 56, 60, 68, 80, 93, 88, 73, 62, 70, 82, 94, 106, 102, 87, 72, 84, 96, 105, 92, 99, 101, 86, 98, 104, 91, 78, 85, 97, 100, 103, 90, 77, 66, 71, 83, 95, 89, 76, 65, 58, 61, 69, 81, 75, 64, 57)
	L = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)
	local type(s) :: { ( 106^53 ) }
Outer automorphisms :: reflexible
Dual of E26.667
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 53 f = 1
	degree seq :: [ 53^2 ]

E26.641 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {53, 53, 53})
Quotient :: edge
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1 * T2^2 * T1^-2 * T2^-2 * T1, T1^-1 * T2^-1 * T1^-6, T1^2 * T2^-1 * T1 * T2^-6 * T1, T2^2 * T1 * T2^3 * T1^2 * T2^3, T2^-1 * T1^-1 * T2^-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 * T2^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 47, 40, 26, 22, 36, 50, 46, 32, 18, 8, 2, 7, 17, 31, 45, 51, 37, 23, 11, 21, 35, 49, 44, 30, 16, 6, 15, 29, 43, 52, 38, 24, 12, 4, 10, 20, 34, 48, 42, 28, 14, 27, 41, 53, 39, 25, 13, 5)(54, 55, 59, 67, 79, 76, 65, 58, 61, 69, 81, 93, 90, 77, 66, 71, 83, 95, 100, 104, 91, 78, 85, 97, 101, 86, 98, 105, 92, 99, 102, 87, 72, 84, 96, 106, 103, 88, 73, 62, 70, 82, 94, 89, 74, 63, 56, 60, 68, 80, 75, 64, 57)
	L = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)
	local type(s) :: { ( 106^53 ) }
Outer automorphisms :: reflexible
Dual of E26.663
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 53 f = 1
	degree seq :: [ 53^2 ]

E26.642 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {53, 53, 53})
Quotient :: edge
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1 * T2^-1 * T1^7, T2^6 * T1^-1 * T2 * T1^-2, T1^2 * T2 * T1 * T2 * T1 * T2^4 * T1, T1^-1 * 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^-1 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 44, 28, 14, 27, 43, 52, 39, 23, 11, 21, 35, 48, 32, 18, 8, 2, 7, 17, 31, 47, 50, 37, 26, 42, 53, 40, 24, 12, 4, 10, 20, 34, 46, 30, 16, 6, 15, 29, 45, 51, 38, 22, 36, 49, 41, 25, 13, 5)(54, 55, 59, 67, 79, 89, 74, 63, 56, 60, 68, 80, 95, 102, 88, 73, 62, 70, 82, 96, 106, 94, 101, 87, 72, 84, 98, 105, 93, 78, 85, 99, 86, 100, 104, 92, 77, 66, 71, 83, 97, 103, 91, 76, 65, 58, 61, 69, 81, 90, 75, 64, 57)
	L = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)
	local type(s) :: { ( 106^53 ) }
Outer automorphisms :: reflexible
Dual of E26.669
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 53 f = 1
	degree seq :: [ 53^2 ]

E26.643 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {53, 53, 53})
Quotient :: edge
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^4 * T2 * T1^4, T1 * T2^3 * T1^-2 * T2^-3 * T1, T1^-1 * T2^-2 * T1^-2 * T2^-5, T1 * T2^-1 * T1 * T2^-1 * T1^2 * T2^-3 * T1 * T2^-1, T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-2 * T2^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 49, 38, 22, 36, 52, 46, 30, 16, 6, 15, 29, 45, 40, 24, 12, 4, 10, 20, 34, 50, 42, 26, 37, 53, 48, 32, 18, 8, 2, 7, 17, 31, 47, 39, 23, 11, 21, 35, 51, 44, 28, 14, 27, 43, 41, 25, 13, 5)(54, 55, 59, 67, 79, 91, 76, 65, 58, 61, 69, 81, 95, 102, 92, 77, 66, 71, 83, 97, 103, 86, 100, 93, 78, 85, 99, 104, 87, 72, 84, 98, 94, 101, 105, 88, 73, 62, 70, 82, 96, 106, 89, 74, 63, 56, 60, 68, 80, 90, 75, 64, 57)
	L = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)
	local type(s) :: { ( 106^53 ) }
Outer automorphisms :: reflexible
Dual of E26.665
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 53 f = 1
	degree seq :: [ 53^2 ]

E26.644 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {53, 53, 53})
Quotient :: edge
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^2 * T2 * T1 * T2^4, T1^2 * T2^-1 * T1^-4 * T2 * T1^2, T1^3 * T2^-1 * T1^7, 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 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 22, 36, 45, 52, 49, 40, 26, 39, 32, 18, 8, 2, 7, 17, 31, 23, 11, 21, 35, 44, 51, 47, 38, 48, 42, 30, 16, 6, 15, 29, 24, 12, 4, 10, 20, 34, 43, 37, 46, 53, 50, 41, 28, 14, 27, 25, 13, 5)(54, 55, 59, 67, 79, 91, 99, 89, 74, 63, 56, 60, 68, 80, 92, 101, 106, 98, 88, 73, 62, 70, 82, 78, 85, 95, 103, 105, 97, 87, 72, 84, 77, 66, 71, 83, 94, 102, 104, 96, 86, 76, 65, 58, 61, 69, 81, 93, 100, 90, 75, 64, 57)
	L = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)
	local type(s) :: { ( 106^53 ) }
Outer automorphisms :: reflexible
Dual of E26.672
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 53 f = 1
	degree seq :: [ 53^2 ]

E26.645 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {53, 53, 53})
Quotient :: edge
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1), T2^3 * T1^-1 * T2 * T1^-2 * T2, T1^4 * T2 * T1^6, 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 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 28, 14, 27, 41, 50, 52, 45, 34, 43, 37, 24, 12, 4, 10, 20, 30, 16, 6, 15, 29, 42, 48, 38, 44, 51, 47, 36, 23, 11, 21, 32, 18, 8, 2, 7, 17, 31, 40, 26, 39, 49, 53, 46, 35, 22, 33, 25, 13, 5)(54, 55, 59, 67, 79, 91, 98, 88, 76, 65, 58, 61, 69, 81, 93, 101, 105, 99, 89, 77, 66, 71, 83, 72, 84, 95, 103, 106, 100, 90, 78, 85, 73, 62, 70, 82, 94, 102, 104, 96, 86, 74, 63, 56, 60, 68, 80, 92, 97, 87, 75, 64, 57)
	L = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)
	local type(s) :: { ( 106^53 ) }
Outer automorphisms :: reflexible
Dual of E26.668
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 53 f = 1
	degree seq :: [ 53^2 ]

E26.646 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {53, 53, 53})
Quotient :: edge
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|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^-7, (T1^-1 * T2^-1)^53 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 16, 6, 15, 29, 40, 38, 26, 37, 49, 51, 42, 46, 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, 52, 43, 32, 41, 45, 34, 23, 11, 21, 25, 13, 5)(54, 55, 59, 67, 79, 89, 99, 94, 84, 74, 63, 56, 60, 68, 80, 90, 100, 106, 98, 88, 78, 73, 62, 70, 82, 92, 102, 105, 97, 87, 77, 66, 71, 72, 83, 93, 103, 104, 96, 86, 76, 65, 58, 61, 69, 81, 91, 101, 95, 85, 75, 64, 57)
	L = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)
	local type(s) :: { ( 106^53 ) }
Outer automorphisms :: reflexible
Dual of E26.673
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 53 f = 1
	degree seq :: [ 53^2 ]

E26.647 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {53, 53, 53})
Quotient :: edge
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2 * T1 * T2^4 * T1, T1^-3 * T2^-1 * T1^-8, T1^4 * T2^-1 * T1^4 * T2^-3 * T1, T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-3 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 23, 11, 21, 32, 41, 45, 34, 43, 52, 48, 36, 47, 50, 39, 28, 14, 27, 30, 18, 8, 2, 7, 17, 24, 12, 4, 10, 20, 31, 35, 22, 33, 42, 51, 46, 44, 53, 49, 38, 26, 37, 40, 29, 16, 6, 15, 25, 13, 5)(54, 55, 59, 67, 79, 89, 99, 98, 88, 76, 65, 58, 61, 69, 81, 91, 101, 104, 94, 84, 72, 77, 66, 71, 82, 92, 102, 105, 95, 85, 73, 62, 70, 78, 83, 93, 103, 106, 96, 86, 74, 63, 56, 60, 68, 80, 90, 100, 97, 87, 75, 64, 57)
	L = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)
	local type(s) :: { ( 106^53 ) }
Outer automorphisms :: reflexible
Dual of E26.670
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 53 f = 1
	degree seq :: [ 53^2 ]

E26.648 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {53, 53, 53})
Quotient :: edge
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^4 * T1^5, T2^-5 * T1 * T2^-4 * T1, T2^2 * T1^-1 * T2 * T1^-2 * T2^2 * T1^-4, T2^-8 * T1^-1 * T2^4 * T1^2 * T2^4 * T1^-1, T2^53, T2^53, (T1^-1 * T2^-1)^53 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 46, 44, 30, 16, 6, 15, 29, 38, 22, 36, 49, 52, 42, 26, 40, 24, 12, 4, 10, 20, 34, 47, 45, 32, 18, 8, 2, 7, 17, 31, 37, 50, 53, 43, 28, 14, 27, 39, 23, 11, 21, 35, 48, 51, 41, 25, 13, 5)(54, 55, 59, 67, 79, 94, 98, 99, 103, 89, 74, 63, 56, 60, 68, 80, 93, 78, 85, 97, 106, 102, 88, 73, 62, 70, 82, 92, 77, 66, 71, 83, 96, 105, 101, 87, 72, 84, 91, 76, 65, 58, 61, 69, 81, 95, 104, 100, 86, 90, 75, 64, 57)
	L = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)
	local type(s) :: { ( 106^53 ) }
Outer automorphisms :: reflexible
Dual of E26.675
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 53 f = 1
	degree seq :: [ 53^2 ]

E26.649 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {53, 53, 53})
Quotient :: edge
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (F * T1)^2, T1^-1 * T2 * T1^-1 * T2^3 * T1^-3, T2^-2 * T1^-1 * T2^-7 * T1^-1, T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^-2 * T2^-2 * T1^-3, 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 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 46, 49, 39, 23, 11, 21, 35, 28, 14, 27, 43, 53, 47, 37, 32, 18, 8, 2, 7, 17, 31, 45, 50, 40, 24, 12, 4, 10, 20, 34, 26, 42, 52, 48, 38, 22, 36, 30, 16, 6, 15, 29, 44, 51, 41, 25, 13, 5)(54, 55, 59, 67, 79, 86, 98, 104, 100, 91, 76, 65, 58, 61, 69, 81, 87, 72, 84, 97, 106, 101, 92, 77, 66, 71, 83, 88, 73, 62, 70, 82, 96, 105, 102, 93, 78, 85, 89, 74, 63, 56, 60, 68, 80, 95, 99, 103, 94, 90, 75, 64, 57)
	L = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)
	local type(s) :: { ( 106^53 ) }
Outer automorphisms :: reflexible
Dual of E26.671
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 53 f = 1
	degree seq :: [ 53^2 ]

E26.650 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {53, 53, 53})
Quotient :: edge
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2, T1), (F * T1)^2, T1^-1 * T2 * T1^-2 * T2^3, T2^-1 * T1^-1 * T2^-1 * T1^-10 * T2^-1, (T1^-1 * T2^-1)^53 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 14, 27, 36, 45, 42, 51, 47, 38, 41, 32, 23, 11, 21, 18, 8, 2, 7, 17, 29, 26, 35, 44, 53, 50, 48, 39, 30, 33, 24, 12, 4, 10, 20, 16, 6, 15, 28, 37, 34, 43, 52, 46, 49, 40, 31, 22, 25, 13, 5)(54, 55, 59, 67, 79, 87, 95, 103, 102, 94, 86, 78, 74, 63, 56, 60, 68, 80, 88, 96, 104, 101, 93, 85, 77, 66, 71, 73, 62, 70, 81, 89, 97, 105, 100, 92, 84, 76, 65, 58, 61, 69, 72, 82, 90, 98, 106, 99, 91, 83, 75, 64, 57)
	L = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)
	local type(s) :: { ( 106^53 ) }
Outer automorphisms :: reflexible
Dual of E26.676
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 53 f = 1
	degree seq :: [ 53^2 ]

E26.651 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {53, 53, 53})
Quotient :: edge
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^2 * T1 * T2 * T1^2 * T2, T1^-11 * T2^3, T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-7, T2^-1 * T1^3 * T2^-1 * T1 * T2^-2 * T1^3 * T2^-1 * T1 * T2^-2, T1^29 * T2 * T1^-1 * T2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 22, 32, 39, 46, 49, 52, 43, 34, 37, 28, 16, 6, 15, 24, 12, 4, 10, 20, 30, 33, 40, 47, 50, 53, 44, 35, 26, 29, 18, 8, 2, 7, 17, 23, 11, 21, 31, 38, 41, 48, 51, 42, 45, 36, 27, 14, 25, 13, 5)(54, 55, 59, 67, 79, 87, 95, 103, 99, 91, 83, 72, 76, 65, 58, 61, 69, 80, 88, 96, 104, 100, 92, 84, 73, 62, 70, 77, 66, 71, 81, 89, 97, 105, 101, 93, 85, 74, 63, 56, 60, 68, 78, 82, 90, 98, 106, 102, 94, 86, 75, 64, 57)
	L = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)
	local type(s) :: { ( 106^53 ) }
Outer automorphisms :: reflexible
Dual of E26.674
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 53 f = 1
	degree seq :: [ 53^2 ]

E26.652 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {53, 53, 53})
Quotient :: edge
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1^-1), T2 * T1 * T2^2 * T1, T1^-8 * T2 * T1^-9, T1^-1 * T2^25 ]
Map:: non-degenerate
	R = (1, 3, 9, 11, 18, 23, 25, 30, 35, 37, 42, 47, 49, 50, 52, 45, 38, 40, 33, 26, 28, 21, 14, 16, 8, 2, 7, 12, 4, 10, 17, 19, 24, 29, 31, 36, 41, 43, 48, 53, 51, 44, 46, 39, 32, 34, 27, 20, 22, 15, 6, 13, 5)(54, 55, 59, 67, 73, 79, 85, 91, 97, 103, 101, 95, 89, 83, 77, 71, 63, 56, 60, 66, 69, 75, 81, 87, 93, 99, 105, 106, 100, 94, 88, 82, 76, 70, 62, 65, 58, 61, 68, 74, 80, 86, 92, 98, 104, 102, 96, 90, 84, 78, 72, 64, 57)
	L = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)
	local type(s) :: { ( 106^53 ) }
Outer automorphisms :: reflexible
Dual of E26.678
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 53 f = 1
	degree seq :: [ 53^2 ]

E26.653 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {53, 53, 53})
Quotient :: edge
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^-1 * T1 * T2^-2 * T1, T1^-8 * T2^-1 * T1^-9, (T1^-1 * T2^-1)^53 ]
Map:: non-degenerate
	R = (1, 3, 9, 6, 15, 22, 20, 27, 34, 32, 39, 46, 44, 51, 53, 48, 41, 43, 36, 29, 31, 24, 17, 19, 12, 4, 10, 8, 2, 7, 16, 14, 21, 28, 26, 33, 40, 38, 45, 52, 50, 47, 49, 42, 35, 37, 30, 23, 25, 18, 11, 13, 5)(54, 55, 59, 67, 73, 79, 85, 91, 97, 103, 101, 95, 89, 83, 77, 71, 65, 58, 61, 62, 69, 75, 81, 87, 93, 99, 105, 106, 102, 96, 90, 84, 78, 72, 66, 63, 56, 60, 68, 74, 80, 86, 92, 98, 104, 100, 94, 88, 82, 76, 70, 64, 57)
	L = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)
	local type(s) :: { ( 106^53 ) }
Outer automorphisms :: reflexible
Dual of E26.677
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 53 f = 1
	degree seq :: [ 53^2 ]

E26.654 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {53, 53, 53})
Quotient :: edge
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T1 * T2^-2 * T1^-1 * T2^2, T2^-7 * T1^2, T1^4 * T2 * T1 * T2 * T1^2, T2^2 * T1 * T2^2 * T1 * T2^2 * T1 * T2^2 * T1 * T2 * T1, T2^-2 * T1^3 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^-2 * T2^-1 * T1^-1 * T2^2 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 30, 16, 6, 15, 29, 44, 51, 50, 42, 26, 38, 22, 36, 46, 49, 40, 24, 12, 4, 10, 20, 34, 32, 18, 8, 2, 7, 17, 31, 45, 43, 28, 14, 27, 37, 47, 52, 53, 48, 39, 23, 11, 21, 35, 41, 25, 13, 5)(54, 55, 59, 67, 79, 92, 77, 66, 71, 83, 96, 103, 106, 102, 94, 87, 72, 84, 97, 100, 89, 74, 63, 56, 60, 68, 80, 91, 76, 65, 58, 61, 69, 81, 95, 101, 93, 78, 85, 86, 98, 104, 105, 99, 88, 73, 62, 70, 82, 90, 75, 64, 57)
	L = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)
	local type(s) :: { ( 106^53 ) }
Outer automorphisms :: reflexible
Dual of E26.679
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 53 f = 1
	degree seq :: [ 53^2 ]

E26.655 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {53, 53, 53})
Quotient :: loop
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, T2^-1 * T1, (F * T1)^2, (F * T2)^2, T2^53, T1^53, (T2^-1 * T1^-1)^53 ]
Map:: non-degenerate
	R = (1, 54, 2, 55, 6, 59, 14, 67, 26, 79, 36, 89, 46, 99, 41, 94, 31, 84, 21, 74, 10, 63, 3, 56, 7, 60, 15, 68, 27, 80, 37, 90, 47, 100, 53, 106, 45, 98, 35, 88, 25, 78, 20, 73, 9, 62, 17, 70, 29, 82, 39, 92, 49, 102, 52, 105, 44, 97, 34, 87, 24, 77, 13, 66, 18, 71, 19, 72, 30, 83, 40, 93, 50, 103, 51, 104, 43, 96, 33, 86, 23, 76, 12, 65, 5, 58, 8, 61, 16, 69, 28, 81, 38, 91, 48, 101, 42, 95, 32, 85, 22, 75, 11, 64, 4, 57)
	L = (1, 55)(2, 59)(3, 60)(4, 54)(5, 61)(6, 67)(7, 68)(8, 69)(9, 70)(10, 56)(11, 57)(12, 58)(13, 71)(14, 79)(15, 80)(16, 81)(17, 82)(18, 72)(19, 83)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 73)(26, 89)(27, 90)(28, 91)(29, 92)(30, 93)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 99)(37, 100)(38, 101)(39, 102)(40, 103)(41, 84)(42, 85)(43, 86)(44, 87)(45, 88)(46, 94)(47, 106)(48, 95)(49, 105)(50, 104)(51, 96)(52, 97)(53, 98)
	local type(s) :: { ( 53^106 ) }
Outer automorphisms :: reflexible
Dual of E26.631
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 53 f = 2
	degree seq :: [ 106 ]

E26.656 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {53, 53, 53})
Quotient :: loop
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-2, (F * T2)^2, (F * T1)^2, T1 * T2^26, (T2^-1 * T1^-1)^53 ]
Map:: non-degenerate
	R = (1, 54, 3, 56, 7, 60, 11, 64, 15, 68, 19, 72, 23, 76, 27, 80, 31, 84, 35, 88, 39, 92, 43, 96, 47, 100, 51, 104, 52, 105, 48, 101, 44, 97, 40, 93, 36, 89, 32, 85, 28, 81, 24, 77, 20, 73, 16, 69, 12, 65, 8, 61, 4, 57, 2, 55, 6, 59, 10, 63, 14, 67, 18, 71, 22, 75, 26, 79, 30, 83, 34, 87, 38, 91, 42, 95, 46, 99, 50, 103, 53, 106, 49, 102, 45, 98, 41, 94, 37, 90, 33, 86, 29, 82, 25, 78, 21, 74, 17, 70, 13, 66, 9, 62, 5, 58)
	L = (1, 55)(2, 56)(3, 59)(4, 54)(5, 57)(6, 60)(7, 63)(8, 58)(9, 61)(10, 64)(11, 67)(12, 62)(13, 65)(14, 68)(15, 71)(16, 66)(17, 69)(18, 72)(19, 75)(20, 70)(21, 73)(22, 76)(23, 79)(24, 74)(25, 77)(26, 80)(27, 83)(28, 78)(29, 81)(30, 84)(31, 87)(32, 82)(33, 85)(34, 88)(35, 91)(36, 86)(37, 89)(38, 92)(39, 95)(40, 90)(41, 93)(42, 96)(43, 99)(44, 94)(45, 97)(46, 100)(47, 103)(48, 98)(49, 101)(50, 104)(51, 106)(52, 102)(53, 105)
	local type(s) :: { ( 53^106 ) }
Outer automorphisms :: reflexible
Dual of E26.633
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 53 f = 2
	degree seq :: [ 106 ]

E26.657 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {53, 53, 53})
Quotient :: loop
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2 * T1^-1 * T2^17, (T1^-1 * T2^-1)^53 ]
Map:: non-degenerate
	R = (1, 54, 3, 56, 9, 62, 15, 68, 21, 74, 27, 80, 33, 86, 39, 92, 45, 98, 51, 104, 50, 103, 44, 97, 38, 91, 32, 85, 26, 79, 20, 73, 14, 67, 8, 61, 2, 55, 7, 60, 13, 66, 19, 72, 25, 78, 31, 84, 37, 90, 43, 96, 49, 102, 52, 105, 46, 99, 40, 93, 34, 87, 28, 81, 22, 75, 16, 69, 10, 63, 4, 57, 6, 59, 12, 65, 18, 71, 24, 77, 30, 83, 36, 89, 42, 95, 48, 101, 53, 106, 47, 100, 41, 94, 35, 88, 29, 82, 23, 76, 17, 70, 11, 64, 5, 58)
	L = (1, 55)(2, 59)(3, 60)(4, 54)(5, 61)(6, 56)(7, 65)(8, 57)(9, 66)(10, 58)(11, 67)(12, 62)(13, 71)(14, 63)(15, 72)(16, 64)(17, 73)(18, 68)(19, 77)(20, 69)(21, 78)(22, 70)(23, 79)(24, 74)(25, 83)(26, 75)(27, 84)(28, 76)(29, 85)(30, 80)(31, 89)(32, 81)(33, 90)(34, 82)(35, 91)(36, 86)(37, 95)(38, 87)(39, 96)(40, 88)(41, 97)(42, 92)(43, 101)(44, 93)(45, 102)(46, 94)(47, 103)(48, 98)(49, 106)(50, 99)(51, 105)(52, 100)(53, 104)
	local type(s) :: { ( 53^106 ) }
Outer automorphisms :: reflexible
Dual of E26.635
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 53 f = 2
	degree seq :: [ 106 ]

E26.658 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {53, 53, 53})
Quotient :: loop
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, T1^-3 * T2^-1, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-1 * T2^-17 ]
Map:: non-degenerate
	R = (1, 54, 3, 56, 9, 62, 15, 68, 21, 74, 27, 80, 33, 86, 39, 92, 45, 98, 51, 104, 48, 101, 42, 95, 36, 89, 30, 83, 24, 77, 18, 71, 12, 65, 6, 59, 4, 57, 10, 63, 16, 69, 22, 75, 28, 81, 34, 87, 40, 93, 46, 99, 52, 105, 50, 103, 44, 97, 38, 91, 32, 85, 26, 79, 20, 73, 14, 67, 8, 61, 2, 55, 7, 60, 13, 66, 19, 72, 25, 78, 31, 84, 37, 90, 43, 96, 49, 102, 53, 106, 47, 100, 41, 94, 35, 88, 29, 82, 23, 76, 17, 70, 11, 64, 5, 58)
	L = (1, 55)(2, 59)(3, 60)(4, 54)(5, 61)(6, 58)(7, 57)(8, 65)(9, 66)(10, 56)(11, 67)(12, 64)(13, 63)(14, 71)(15, 72)(16, 62)(17, 73)(18, 70)(19, 69)(20, 77)(21, 78)(22, 68)(23, 79)(24, 76)(25, 75)(26, 83)(27, 84)(28, 74)(29, 85)(30, 82)(31, 81)(32, 89)(33, 90)(34, 80)(35, 91)(36, 88)(37, 87)(38, 95)(39, 96)(40, 86)(41, 97)(42, 94)(43, 93)(44, 101)(45, 102)(46, 92)(47, 103)(48, 100)(49, 99)(50, 104)(51, 106)(52, 98)(53, 105)
	local type(s) :: { ( 53^106 ) }
Outer automorphisms :: reflexible
Dual of E26.630
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 53 f = 2
	degree seq :: [ 106 ]

E26.659 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {53, 53, 53})
Quotient :: loop
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-1 * T2 * T1^-3, T2 * T1 * T2^12, (T1^-1 * T2^-1)^53 ]
Map:: non-degenerate
	R = (1, 54, 3, 56, 9, 62, 17, 70, 25, 78, 33, 86, 41, 94, 49, 102, 44, 97, 36, 89, 28, 81, 20, 73, 12, 65, 4, 57, 10, 63, 18, 71, 26, 79, 34, 87, 42, 95, 50, 103, 53, 106, 51, 104, 43, 96, 35, 88, 27, 80, 19, 72, 11, 64, 6, 59, 14, 67, 22, 75, 30, 83, 38, 91, 46, 99, 52, 105, 48, 101, 40, 93, 32, 85, 24, 77, 16, 69, 8, 61, 2, 55, 7, 60, 15, 68, 23, 76, 31, 84, 39, 92, 47, 100, 45, 98, 37, 90, 29, 82, 21, 74, 13, 66, 5, 58)
	L = (1, 55)(2, 59)(3, 60)(4, 54)(5, 61)(6, 63)(7, 67)(8, 64)(9, 68)(10, 56)(11, 57)(12, 58)(13, 69)(14, 71)(15, 75)(16, 72)(17, 76)(18, 62)(19, 65)(20, 66)(21, 77)(22, 79)(23, 83)(24, 80)(25, 84)(26, 70)(27, 73)(28, 74)(29, 85)(30, 87)(31, 91)(32, 88)(33, 92)(34, 78)(35, 81)(36, 82)(37, 93)(38, 95)(39, 99)(40, 96)(41, 100)(42, 86)(43, 89)(44, 90)(45, 101)(46, 103)(47, 105)(48, 104)(49, 98)(50, 94)(51, 97)(52, 106)(53, 102)
	local type(s) :: { ( 53^106 ) }
Outer automorphisms :: reflexible
Dual of E26.637
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 53 f = 2
	degree seq :: [ 106 ]

E26.660 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {53, 53, 53})
Quotient :: loop
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1^-1), T1 * T2 * T1^3, T2^-1 * T1 * T2^-12, 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^-2 * T1^2 * T2^-1 ]
Map:: non-degenerate
	R = (1, 54, 3, 56, 9, 62, 17, 70, 25, 78, 33, 86, 41, 94, 48, 101, 40, 93, 32, 85, 24, 77, 16, 69, 8, 61, 2, 55, 7, 60, 15, 68, 23, 76, 31, 84, 39, 92, 47, 100, 52, 105, 46, 99, 38, 91, 30, 83, 22, 75, 14, 67, 6, 59, 11, 64, 19, 72, 27, 80, 35, 88, 43, 96, 50, 103, 53, 106, 51, 104, 44, 97, 36, 89, 28, 81, 20, 73, 12, 65, 4, 57, 10, 63, 18, 71, 26, 79, 34, 87, 42, 95, 49, 102, 45, 98, 37, 90, 29, 82, 21, 74, 13, 66, 5, 58)
	L = (1, 55)(2, 59)(3, 60)(4, 54)(5, 61)(6, 65)(7, 64)(8, 67)(9, 68)(10, 56)(11, 57)(12, 58)(13, 69)(14, 73)(15, 72)(16, 75)(17, 76)(18, 62)(19, 63)(20, 66)(21, 77)(22, 81)(23, 80)(24, 83)(25, 84)(26, 70)(27, 71)(28, 74)(29, 85)(30, 89)(31, 88)(32, 91)(33, 92)(34, 78)(35, 79)(36, 82)(37, 93)(38, 97)(39, 96)(40, 99)(41, 100)(42, 86)(43, 87)(44, 90)(45, 101)(46, 104)(47, 103)(48, 105)(49, 94)(50, 95)(51, 98)(52, 106)(53, 102)
	local type(s) :: { ( 53^106 ) }
Outer automorphisms :: reflexible
Dual of E26.632
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 53 f = 2
	degree seq :: [ 106 ]

E26.661 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {53, 53, 53})
Quotient :: loop
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2 * T1^-2 * T2^-1 * T1^2, T1^-1 * T2 * T1^-4, T2^2 * T1^-1 * T2^-5 * T1 * T2^3, T2^-5 * T1 * T2^-6 * T1, (T1^-1 * T2^-1)^53 ]
Map:: non-degenerate
	R = (1, 54, 3, 56, 9, 62, 19, 72, 29, 82, 39, 92, 49, 102, 46, 99, 36, 89, 26, 79, 16, 69, 6, 59, 15, 68, 25, 78, 35, 88, 45, 98, 52, 105, 42, 95, 32, 85, 22, 75, 12, 65, 4, 57, 10, 63, 20, 73, 30, 83, 40, 93, 50, 103, 48, 101, 38, 91, 28, 81, 18, 71, 8, 61, 2, 55, 7, 60, 17, 70, 27, 80, 37, 90, 47, 100, 51, 104, 41, 94, 31, 84, 21, 74, 11, 64, 14, 67, 24, 77, 34, 87, 44, 97, 53, 106, 43, 96, 33, 86, 23, 76, 13, 66, 5, 58)
	L = (1, 55)(2, 59)(3, 60)(4, 54)(5, 61)(6, 67)(7, 68)(8, 69)(9, 70)(10, 56)(11, 57)(12, 58)(13, 71)(14, 63)(15, 77)(16, 64)(17, 78)(18, 79)(19, 80)(20, 62)(21, 65)(22, 66)(23, 81)(24, 73)(25, 87)(26, 74)(27, 88)(28, 89)(29, 90)(30, 72)(31, 75)(32, 76)(33, 91)(34, 83)(35, 97)(36, 84)(37, 98)(38, 99)(39, 100)(40, 82)(41, 85)(42, 86)(43, 101)(44, 93)(45, 106)(46, 94)(47, 105)(48, 102)(49, 104)(50, 92)(51, 95)(52, 96)(53, 103)
	local type(s) :: { ( 53^106 ) }
Outer automorphisms :: reflexible
Dual of E26.639
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 53 f = 2
	degree seq :: [ 106 ]

E26.662 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {53, 53, 53})
Quotient :: loop
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (F * T1)^2, T2 * T1^2 * T2^-1 * T1^-2, T2^-1 * T1^-5, T1^-1 * T2^4 * T1 * T2^-4, T2^5 * T1 * T2^6 * T1, T1^-1 * T2^-4 * 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 * T1^2 * T2^-2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 54, 3, 56, 9, 62, 19, 72, 29, 82, 39, 92, 49, 102, 44, 97, 34, 87, 24, 77, 14, 67, 11, 64, 21, 74, 31, 84, 41, 94, 51, 104, 48, 101, 38, 91, 28, 81, 18, 71, 8, 61, 2, 55, 7, 60, 17, 70, 27, 80, 37, 90, 47, 100, 52, 105, 42, 95, 32, 85, 22, 75, 12, 65, 4, 57, 10, 63, 20, 73, 30, 83, 40, 93, 50, 103, 46, 99, 36, 89, 26, 79, 16, 69, 6, 59, 15, 68, 25, 78, 35, 88, 45, 98, 53, 106, 43, 96, 33, 86, 23, 76, 13, 66, 5, 58)
	L = (1, 55)(2, 59)(3, 60)(4, 54)(5, 61)(6, 67)(7, 68)(8, 69)(9, 70)(10, 56)(11, 57)(12, 58)(13, 71)(14, 65)(15, 64)(16, 77)(17, 78)(18, 79)(19, 80)(20, 62)(21, 63)(22, 66)(23, 81)(24, 75)(25, 74)(26, 87)(27, 88)(28, 89)(29, 90)(30, 72)(31, 73)(32, 76)(33, 91)(34, 85)(35, 84)(36, 97)(37, 98)(38, 99)(39, 100)(40, 82)(41, 83)(42, 86)(43, 101)(44, 95)(45, 94)(46, 102)(47, 106)(48, 103)(49, 105)(50, 92)(51, 93)(52, 96)(53, 104)
	local type(s) :: { ( 53^106 ) }
Outer automorphisms :: reflexible
Dual of E26.634
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 53 f = 2
	degree seq :: [ 106 ]

E26.663 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {53, 53, 53})
Quotient :: loop
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-1 * T1^6, T2^8 * T1^-1 * T2, (T1^-1 * T2^-1)^53 ]
Map:: non-degenerate
	R = (1, 54, 3, 56, 9, 62, 19, 72, 31, 84, 42, 95, 30, 83, 18, 71, 8, 61, 2, 55, 7, 60, 17, 70, 29, 82, 41, 94, 50, 103, 40, 93, 28, 81, 16, 69, 6, 59, 15, 68, 27, 80, 39, 92, 49, 102, 52, 105, 45, 98, 34, 87, 22, 75, 14, 67, 26, 79, 38, 91, 48, 101, 53, 106, 46, 99, 35, 88, 23, 76, 11, 64, 21, 74, 33, 86, 44, 97, 51, 104, 47, 100, 36, 89, 24, 77, 12, 65, 4, 57, 10, 63, 20, 73, 32, 85, 43, 96, 37, 90, 25, 78, 13, 66, 5, 58)
	L = (1, 55)(2, 59)(3, 60)(4, 54)(5, 61)(6, 67)(7, 68)(8, 69)(9, 70)(10, 56)(11, 57)(12, 58)(13, 71)(14, 74)(15, 79)(16, 75)(17, 80)(18, 81)(19, 82)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 83)(26, 86)(27, 91)(28, 87)(29, 92)(30, 93)(31, 94)(32, 72)(33, 73)(34, 76)(35, 77)(36, 78)(37, 95)(38, 97)(39, 101)(40, 98)(41, 102)(42, 103)(43, 84)(44, 85)(45, 88)(46, 89)(47, 90)(48, 104)(49, 106)(50, 105)(51, 96)(52, 99)(53, 100)
	local type(s) :: { ( 53^106 ) }
Outer automorphisms :: reflexible
Dual of E26.641
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 53 f = 2
	degree seq :: [ 106 ]

E26.664 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {53, 53, 53})
Quotient :: loop
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^3 * T2 * T1^3, T2^-1 * T1^-1 * T2^-8, T1 * T2^-1 * T1 * T2^-3 * T1^2 * T2^-4 * T1, T1 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-1 * T1 * T2^-2 * T1^-1 * T2^-3, T1^-3 * T2^4 * 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 ]
Map:: non-degenerate
	R = (1, 54, 3, 56, 9, 62, 19, 72, 31, 84, 43, 96, 36, 89, 24, 77, 12, 65, 4, 57, 10, 63, 20, 73, 32, 85, 44, 97, 51, 104, 47, 100, 35, 88, 23, 76, 11, 64, 21, 74, 33, 86, 45, 98, 52, 105, 48, 101, 38, 91, 26, 79, 14, 67, 22, 75, 34, 87, 46, 99, 53, 106, 50, 103, 40, 93, 28, 81, 16, 69, 6, 59, 15, 68, 27, 80, 39, 92, 49, 102, 42, 95, 30, 83, 18, 71, 8, 61, 2, 55, 7, 60, 17, 70, 29, 82, 41, 94, 37, 90, 25, 78, 13, 66, 5, 58)
	L = (1, 55)(2, 59)(3, 60)(4, 54)(5, 61)(6, 67)(7, 68)(8, 69)(9, 70)(10, 56)(11, 57)(12, 58)(13, 71)(14, 76)(15, 75)(16, 79)(17, 80)(18, 81)(19, 82)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 83)(26, 88)(27, 87)(28, 91)(29, 92)(30, 93)(31, 94)(32, 72)(33, 73)(34, 74)(35, 77)(36, 78)(37, 95)(38, 100)(39, 99)(40, 101)(41, 102)(42, 103)(43, 90)(44, 84)(45, 85)(46, 86)(47, 89)(48, 104)(49, 106)(50, 105)(51, 96)(52, 97)(53, 98)
	local type(s) :: { ( 53^106 ) }
Outer automorphisms :: reflexible
Dual of E26.636
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 53 f = 2
	degree seq :: [ 106 ]

E26.665 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {53, 53, 53})
Quotient :: loop
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (F * T1)^2, T1^-3 * T2 * T1^-4, T2 * T1 * T2 * T1 * T2^3 * T1 * T2^2 * T1, T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-5, T1^-1 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^-2 * T2^2 * T1^-1 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 54, 3, 56, 9, 62, 19, 72, 33, 86, 47, 100, 42, 95, 28, 81, 14, 67, 27, 80, 41, 94, 52, 105, 38, 91, 24, 77, 12, 65, 4, 57, 10, 63, 20, 73, 34, 87, 48, 101, 44, 97, 30, 83, 16, 69, 6, 59, 15, 68, 29, 82, 43, 96, 51, 104, 37, 90, 23, 76, 11, 64, 21, 74, 35, 88, 49, 102, 46, 99, 32, 85, 18, 71, 8, 61, 2, 55, 7, 60, 17, 70, 31, 84, 45, 98, 50, 103, 36, 89, 22, 75, 26, 79, 40, 93, 53, 106, 39, 92, 25, 78, 13, 66, 5, 58)
	L = (1, 55)(2, 59)(3, 60)(4, 54)(5, 61)(6, 67)(7, 68)(8, 69)(9, 70)(10, 56)(11, 57)(12, 58)(13, 71)(14, 79)(15, 80)(16, 81)(17, 82)(18, 83)(19, 84)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 85)(26, 74)(27, 93)(28, 75)(29, 94)(30, 95)(31, 96)(32, 97)(33, 98)(34, 72)(35, 73)(36, 76)(37, 77)(38, 78)(39, 99)(40, 88)(41, 106)(42, 89)(43, 105)(44, 100)(45, 104)(46, 101)(47, 103)(48, 86)(49, 87)(50, 90)(51, 91)(52, 92)(53, 102)
	local type(s) :: { ( 53^106 ) }
Outer automorphisms :: reflexible
Dual of E26.643
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 53 f = 2
	degree seq :: [ 106 ]

E26.666 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {53, 53, 53})
Quotient :: loop
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1 * T2^2 * T1^-2 * T2^-2 * T1, T1^-1 * T2^-1 * T1^-6, T1^2 * T2^-1 * T1 * T2^-6 * T1, T2^2 * T1 * T2^3 * T1^2 * T2^3, T2^-1 * T1^-1 * T2^-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 * T2^-1 ]
Map:: non-degenerate
	R = (1, 54, 3, 56, 9, 62, 19, 72, 33, 86, 47, 100, 40, 93, 26, 79, 22, 75, 36, 89, 50, 103, 46, 99, 32, 85, 18, 71, 8, 61, 2, 55, 7, 60, 17, 70, 31, 84, 45, 98, 51, 104, 37, 90, 23, 76, 11, 64, 21, 74, 35, 88, 49, 102, 44, 97, 30, 83, 16, 69, 6, 59, 15, 68, 29, 82, 43, 96, 52, 105, 38, 91, 24, 77, 12, 65, 4, 57, 10, 63, 20, 73, 34, 87, 48, 101, 42, 95, 28, 81, 14, 67, 27, 80, 41, 94, 53, 106, 39, 92, 25, 78, 13, 66, 5, 58)
	L = (1, 55)(2, 59)(3, 60)(4, 54)(5, 61)(6, 67)(7, 68)(8, 69)(9, 70)(10, 56)(11, 57)(12, 58)(13, 71)(14, 79)(15, 80)(16, 81)(17, 82)(18, 83)(19, 84)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 85)(26, 76)(27, 75)(28, 93)(29, 94)(30, 95)(31, 96)(32, 97)(33, 98)(34, 72)(35, 73)(36, 74)(37, 77)(38, 78)(39, 99)(40, 90)(41, 89)(42, 100)(43, 106)(44, 101)(45, 105)(46, 102)(47, 104)(48, 86)(49, 87)(50, 88)(51, 91)(52, 92)(53, 103)
	local type(s) :: { ( 53^106 ) }
Outer automorphisms :: reflexible
Dual of E26.638
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 53 f = 2
	degree seq :: [ 106 ]

E26.667 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {53, 53, 53})
Quotient :: loop
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^4 * T2 * T1^4, T1 * T2^3 * T1^-2 * T2^-3 * T1, T1^-1 * T2^-2 * T1^-2 * T2^-5, T1 * T2^-1 * T1 * T2^-1 * T1^2 * T2^-3 * T1 * T2^-1, T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-2 * T2^2 ]
Map:: non-degenerate
	R = (1, 54, 3, 56, 9, 62, 19, 72, 33, 86, 49, 102, 38, 91, 22, 75, 36, 89, 52, 105, 46, 99, 30, 83, 16, 69, 6, 59, 15, 68, 29, 82, 45, 98, 40, 93, 24, 77, 12, 65, 4, 57, 10, 63, 20, 73, 34, 87, 50, 103, 42, 95, 26, 79, 37, 90, 53, 106, 48, 101, 32, 85, 18, 71, 8, 61, 2, 55, 7, 60, 17, 70, 31, 84, 47, 100, 39, 92, 23, 76, 11, 64, 21, 74, 35, 88, 51, 104, 44, 97, 28, 81, 14, 67, 27, 80, 43, 96, 41, 94, 25, 78, 13, 66, 5, 58)
	L = (1, 55)(2, 59)(3, 60)(4, 54)(5, 61)(6, 67)(7, 68)(8, 69)(9, 70)(10, 56)(11, 57)(12, 58)(13, 71)(14, 79)(15, 80)(16, 81)(17, 82)(18, 83)(19, 84)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 85)(26, 91)(27, 90)(28, 95)(29, 96)(30, 97)(31, 98)(32, 99)(33, 100)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)(39, 77)(40, 78)(41, 101)(42, 102)(43, 106)(44, 103)(45, 94)(46, 104)(47, 93)(48, 105)(49, 92)(50, 86)(51, 87)(52, 88)(53, 89)
	local type(s) :: { ( 53^106 ) }
Outer automorphisms :: reflexible
Dual of E26.640
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 53 f = 2
	degree seq :: [ 106 ]

E26.668 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {53, 53, 53})
Quotient :: loop
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^5 * T1^-1 * T2, T1^7 * T2^-1 * T1^2, 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 ]
Map:: non-degenerate
	R = (1, 54, 3, 56, 9, 62, 19, 72, 18, 71, 8, 61, 2, 55, 7, 60, 17, 70, 31, 84, 30, 83, 16, 69, 6, 59, 15, 68, 29, 82, 43, 96, 42, 95, 28, 81, 14, 67, 27, 80, 41, 94, 51, 104, 50, 103, 40, 93, 26, 79, 39, 92, 49, 102, 52, 105, 45, 98, 34, 87, 38, 91, 48, 101, 53, 106, 46, 99, 35, 88, 22, 75, 33, 86, 44, 97, 47, 100, 36, 89, 23, 76, 11, 64, 21, 74, 32, 85, 37, 90, 24, 77, 12, 65, 4, 57, 10, 63, 20, 73, 25, 78, 13, 66, 5, 58)
	L = (1, 55)(2, 59)(3, 60)(4, 54)(5, 61)(6, 67)(7, 68)(8, 69)(9, 70)(10, 56)(11, 57)(12, 58)(13, 71)(14, 79)(15, 80)(16, 81)(17, 82)(18, 83)(19, 84)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 72)(26, 91)(27, 92)(28, 93)(29, 94)(30, 95)(31, 96)(32, 73)(33, 74)(34, 75)(35, 76)(36, 77)(37, 78)(38, 86)(39, 101)(40, 87)(41, 102)(42, 103)(43, 104)(44, 85)(45, 88)(46, 89)(47, 90)(48, 97)(49, 106)(50, 98)(51, 105)(52, 99)(53, 100)
	local type(s) :: { ( 53^106 ) }
Outer automorphisms :: reflexible
Dual of E26.645
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 53 f = 2
	degree seq :: [ 106 ]

E26.669 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {53, 53, 53})
Quotient :: loop
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-4 * T1^-1 * T2^-2, T1^-2 * T2^-1 * T1^-7, T1^2 * T2^-1 * T1 * T2^-1 * T1^4 * T2^-3 * T1, (T1^-1 * T2^-1)^53 ]
Map:: non-degenerate
	R = (1, 54, 3, 56, 9, 62, 19, 72, 24, 77, 12, 65, 4, 57, 10, 63, 20, 73, 32, 85, 37, 90, 23, 76, 11, 64, 21, 74, 33, 86, 44, 97, 47, 100, 36, 89, 22, 75, 34, 87, 45, 98, 52, 105, 48, 101, 38, 91, 35, 88, 46, 99, 53, 106, 50, 103, 40, 93, 26, 79, 39, 92, 49, 102, 51, 104, 42, 95, 28, 81, 14, 67, 27, 80, 41, 94, 43, 96, 30, 83, 16, 69, 6, 59, 15, 68, 29, 82, 31, 84, 18, 71, 8, 61, 2, 55, 7, 60, 17, 70, 25, 78, 13, 66, 5, 58)
	L = (1, 55)(2, 59)(3, 60)(4, 54)(5, 61)(6, 67)(7, 68)(8, 69)(9, 70)(10, 56)(11, 57)(12, 58)(13, 71)(14, 79)(15, 80)(16, 81)(17, 82)(18, 83)(19, 78)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 84)(26, 91)(27, 92)(28, 93)(29, 94)(30, 95)(31, 96)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 89)(39, 88)(40, 101)(41, 102)(42, 103)(43, 104)(44, 85)(45, 86)(46, 87)(47, 90)(48, 100)(49, 99)(50, 105)(51, 106)(52, 97)(53, 98)
	local type(s) :: { ( 53^106 ) }
Outer automorphisms :: reflexible
Dual of E26.642
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 53 f = 2
	degree seq :: [ 106 ]

E26.670 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {53, 53, 53})
Quotient :: loop
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^2 * T2 * T1 * T2^4, T1^2 * T2^-1 * T1^-4 * T2 * T1^2, T1^3 * T2^-1 * T1^7, 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 ]
Map:: non-degenerate
	R = (1, 54, 3, 56, 9, 62, 19, 72, 33, 86, 22, 75, 36, 89, 45, 98, 52, 105, 49, 102, 40, 93, 26, 79, 39, 92, 32, 85, 18, 71, 8, 61, 2, 55, 7, 60, 17, 70, 31, 84, 23, 76, 11, 64, 21, 74, 35, 88, 44, 97, 51, 104, 47, 100, 38, 91, 48, 101, 42, 95, 30, 83, 16, 69, 6, 59, 15, 68, 29, 82, 24, 77, 12, 65, 4, 57, 10, 63, 20, 73, 34, 87, 43, 96, 37, 90, 46, 99, 53, 106, 50, 103, 41, 94, 28, 81, 14, 67, 27, 80, 25, 78, 13, 66, 5, 58)
	L = (1, 55)(2, 59)(3, 60)(4, 54)(5, 61)(6, 67)(7, 68)(8, 69)(9, 70)(10, 56)(11, 57)(12, 58)(13, 71)(14, 79)(15, 80)(16, 81)(17, 82)(18, 83)(19, 84)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 85)(26, 91)(27, 92)(28, 93)(29, 78)(30, 94)(31, 77)(32, 95)(33, 76)(34, 72)(35, 73)(36, 74)(37, 75)(38, 99)(39, 101)(40, 100)(41, 102)(42, 103)(43, 86)(44, 87)(45, 88)(46, 89)(47, 90)(48, 106)(49, 104)(50, 105)(51, 96)(52, 97)(53, 98)
	local type(s) :: { ( 53^106 ) }
Outer automorphisms :: reflexible
Dual of E26.647
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 53 f = 2
	degree seq :: [ 106 ]

E26.671 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {53, 53, 53})
Quotient :: loop
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|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^-7, (T1^-1 * T2^-1)^53 ]
Map:: non-degenerate
	R = (1, 54, 3, 56, 9, 62, 19, 72, 16, 69, 6, 59, 15, 68, 29, 82, 40, 93, 38, 91, 26, 79, 37, 90, 49, 102, 51, 104, 42, 95, 46, 99, 53, 106, 44, 97, 33, 86, 22, 75, 31, 84, 35, 88, 24, 77, 12, 65, 4, 57, 10, 63, 20, 73, 18, 71, 8, 61, 2, 55, 7, 60, 17, 70, 30, 83, 28, 81, 14, 67, 27, 80, 39, 92, 50, 103, 48, 101, 36, 89, 47, 100, 52, 105, 43, 96, 32, 85, 41, 94, 45, 98, 34, 87, 23, 76, 11, 64, 21, 74, 25, 78, 13, 66, 5, 58)
	L = (1, 55)(2, 59)(3, 60)(4, 54)(5, 61)(6, 67)(7, 68)(8, 69)(9, 70)(10, 56)(11, 57)(12, 58)(13, 71)(14, 79)(15, 80)(16, 81)(17, 82)(18, 72)(19, 83)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 73)(26, 89)(27, 90)(28, 91)(29, 92)(30, 93)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 99)(37, 100)(38, 101)(39, 102)(40, 103)(41, 84)(42, 85)(43, 86)(44, 87)(45, 88)(46, 94)(47, 106)(48, 95)(49, 105)(50, 104)(51, 96)(52, 97)(53, 98)
	local type(s) :: { ( 53^106 ) }
Outer automorphisms :: reflexible
Dual of E26.649
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 53 f = 2
	degree seq :: [ 106 ]

E26.672 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {53, 53, 53})
Quotient :: loop
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2 * T1 * T2^4 * T1, T1^-3 * T2^-1 * T1^-8, T1^4 * T2^-1 * T1^4 * T2^-3 * T1, T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-3 ]
Map:: non-degenerate
	R = (1, 54, 3, 56, 9, 62, 19, 72, 23, 76, 11, 64, 21, 74, 32, 85, 41, 94, 45, 98, 34, 87, 43, 96, 52, 105, 48, 101, 36, 89, 47, 100, 50, 103, 39, 92, 28, 81, 14, 67, 27, 80, 30, 83, 18, 71, 8, 61, 2, 55, 7, 60, 17, 70, 24, 77, 12, 65, 4, 57, 10, 63, 20, 73, 31, 84, 35, 88, 22, 75, 33, 86, 42, 95, 51, 104, 46, 99, 44, 97, 53, 106, 49, 102, 38, 91, 26, 79, 37, 90, 40, 93, 29, 82, 16, 69, 6, 59, 15, 68, 25, 78, 13, 66, 5, 58)
	L = (1, 55)(2, 59)(3, 60)(4, 54)(5, 61)(6, 67)(7, 68)(8, 69)(9, 70)(10, 56)(11, 57)(12, 58)(13, 71)(14, 79)(15, 80)(16, 81)(17, 78)(18, 82)(19, 77)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 83)(26, 89)(27, 90)(28, 91)(29, 92)(30, 93)(31, 72)(32, 73)(33, 74)(34, 75)(35, 76)(36, 99)(37, 100)(38, 101)(39, 102)(40, 103)(41, 84)(42, 85)(43, 86)(44, 87)(45, 88)(46, 98)(47, 97)(48, 104)(49, 105)(50, 106)(51, 94)(52, 95)(53, 96)
	local type(s) :: { ( 53^106 ) }
Outer automorphisms :: reflexible
Dual of E26.644
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 53 f = 2
	degree seq :: [ 106 ]

E26.673 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {53, 53, 53})
Quotient :: loop
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (F * T1)^2, T1^-1 * T2 * T1^-1 * T2^3 * T1^-3, T2^-2 * T1^-1 * T2^-7 * T1^-1, T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^-2 * T2^-2 * T1^-3, 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 ]
Map:: non-degenerate
	R = (1, 54, 3, 56, 9, 62, 19, 72, 33, 86, 46, 99, 49, 102, 39, 92, 23, 76, 11, 64, 21, 74, 35, 88, 28, 81, 14, 67, 27, 80, 43, 96, 53, 106, 47, 100, 37, 90, 32, 85, 18, 71, 8, 61, 2, 55, 7, 60, 17, 70, 31, 84, 45, 98, 50, 103, 40, 93, 24, 77, 12, 65, 4, 57, 10, 63, 20, 73, 34, 87, 26, 79, 42, 95, 52, 105, 48, 101, 38, 91, 22, 75, 36, 89, 30, 83, 16, 69, 6, 59, 15, 68, 29, 82, 44, 97, 51, 104, 41, 94, 25, 78, 13, 66, 5, 58)
	L = (1, 55)(2, 59)(3, 60)(4, 54)(5, 61)(6, 67)(7, 68)(8, 69)(9, 70)(10, 56)(11, 57)(12, 58)(13, 71)(14, 79)(15, 80)(16, 81)(17, 82)(18, 83)(19, 84)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 85)(26, 86)(27, 95)(28, 87)(29, 96)(30, 88)(31, 97)(32, 89)(33, 98)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)(39, 77)(40, 78)(41, 90)(42, 99)(43, 105)(44, 106)(45, 104)(46, 103)(47, 91)(48, 92)(49, 93)(50, 94)(51, 100)(52, 102)(53, 101)
	local type(s) :: { ( 53^106 ) }
Outer automorphisms :: reflexible
Dual of E26.646
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 53 f = 2
	degree seq :: [ 106 ]

E26.674 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {53, 53, 53})
Quotient :: loop
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1), T2 * T1 * T2^3, T1^-1 * T2 * T1^-12, 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 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-2 * T2^2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 54, 3, 56, 9, 62, 12, 65, 4, 57, 10, 63, 18, 71, 21, 74, 11, 64, 19, 72, 26, 79, 29, 82, 20, 73, 27, 80, 34, 87, 37, 90, 28, 81, 35, 88, 42, 95, 45, 98, 36, 89, 43, 96, 50, 103, 51, 104, 44, 97, 46, 99, 52, 105, 53, 106, 48, 101, 38, 91, 47, 100, 49, 102, 40, 93, 30, 83, 39, 92, 41, 94, 32, 85, 22, 75, 31, 84, 33, 86, 24, 77, 14, 67, 23, 76, 25, 78, 16, 69, 6, 59, 15, 68, 17, 70, 8, 61, 2, 55, 7, 60, 13, 66, 5, 58)
	L = (1, 55)(2, 59)(3, 60)(4, 54)(5, 61)(6, 67)(7, 68)(8, 69)(9, 66)(10, 56)(11, 57)(12, 58)(13, 70)(14, 75)(15, 76)(16, 77)(17, 78)(18, 62)(19, 63)(20, 64)(21, 65)(22, 83)(23, 84)(24, 85)(25, 86)(26, 71)(27, 72)(28, 73)(29, 74)(30, 91)(31, 92)(32, 93)(33, 94)(34, 79)(35, 80)(36, 81)(37, 82)(38, 99)(39, 100)(40, 101)(41, 102)(42, 87)(43, 88)(44, 89)(45, 90)(46, 96)(47, 105)(48, 97)(49, 106)(50, 95)(51, 98)(52, 103)(53, 104)
	local type(s) :: { ( 53^106 ) }
Outer automorphisms :: reflexible
Dual of E26.651
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 53 f = 2
	degree seq :: [ 106 ]

E26.675 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {53, 53, 53})
Quotient :: loop
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^4 * T1^-1, T1^13 * T2, (T1^-1 * T2^-1)^53 ]
Map:: non-degenerate
	R = (1, 54, 3, 56, 9, 62, 8, 61, 2, 55, 7, 60, 17, 70, 16, 69, 6, 59, 15, 68, 25, 78, 24, 77, 14, 67, 23, 76, 33, 86, 32, 85, 22, 75, 31, 84, 41, 94, 40, 93, 30, 83, 39, 92, 49, 102, 48, 101, 38, 91, 47, 100, 53, 106, 52, 105, 46, 99, 43, 96, 50, 103, 51, 104, 44, 97, 35, 88, 42, 95, 45, 98, 36, 89, 27, 80, 34, 87, 37, 90, 28, 81, 19, 72, 26, 79, 29, 82, 20, 73, 11, 64, 18, 71, 21, 74, 12, 65, 4, 57, 10, 63, 13, 66, 5, 58)
	L = (1, 55)(2, 59)(3, 60)(4, 54)(5, 61)(6, 67)(7, 68)(8, 69)(9, 70)(10, 56)(11, 57)(12, 58)(13, 62)(14, 75)(15, 76)(16, 77)(17, 78)(18, 63)(19, 64)(20, 65)(21, 66)(22, 83)(23, 84)(24, 85)(25, 86)(26, 71)(27, 72)(28, 73)(29, 74)(30, 91)(31, 92)(32, 93)(33, 94)(34, 79)(35, 80)(36, 81)(37, 82)(38, 99)(39, 100)(40, 101)(41, 102)(42, 87)(43, 88)(44, 89)(45, 90)(46, 97)(47, 96)(48, 105)(49, 106)(50, 95)(51, 98)(52, 104)(53, 103)
	local type(s) :: { ( 53^106 ) }
Outer automorphisms :: reflexible
Dual of E26.648
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 53 f = 2
	degree seq :: [ 106 ]

E26.676 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {53, 53, 53})
Quotient :: loop
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T1)^2, (F * T2)^2, T2^6 * T1^-1 * T2, T2 * T1^3 * T2 * T1 * T2^2 * T1^3, T2^2 * T1 * T2 * T1^6 * T2, T1^2 * T2^-1 * T1 * T2^-1 * T1^4 * T2^-1 * T1, (T1^-1 * T2^-1)^53 ]
Map:: non-degenerate
	R = (1, 54, 3, 56, 9, 62, 19, 72, 32, 85, 18, 71, 8, 61, 2, 55, 7, 60, 17, 70, 31, 84, 46, 99, 30, 83, 16, 69, 6, 59, 15, 68, 29, 82, 45, 98, 50, 103, 44, 97, 28, 81, 14, 67, 27, 80, 43, 96, 51, 104, 36, 89, 49, 102, 42, 95, 26, 79, 41, 94, 52, 105, 37, 90, 22, 75, 35, 88, 48, 101, 40, 93, 53, 106, 38, 91, 23, 76, 11, 64, 21, 74, 34, 87, 47, 100, 39, 92, 24, 77, 12, 65, 4, 57, 10, 63, 20, 73, 33, 86, 25, 78, 13, 66, 5, 58)
	L = (1, 55)(2, 59)(3, 60)(4, 54)(5, 61)(6, 67)(7, 68)(8, 69)(9, 70)(10, 56)(11, 57)(12, 58)(13, 71)(14, 79)(15, 80)(16, 81)(17, 82)(18, 83)(19, 84)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 85)(26, 93)(27, 94)(28, 95)(29, 96)(30, 97)(31, 98)(32, 99)(33, 72)(34, 73)(35, 74)(36, 75)(37, 76)(38, 77)(39, 78)(40, 100)(41, 106)(42, 101)(43, 105)(44, 102)(45, 104)(46, 103)(47, 86)(48, 87)(49, 88)(50, 89)(51, 90)(52, 91)(53, 92)
	local type(s) :: { ( 53^106 ) }
Outer automorphisms :: reflexible
Dual of E26.650
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 53 f = 2
	degree seq :: [ 106 ]

E26.677 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {53, 53, 53})
Quotient :: loop
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T2)^2, (F * T1)^2, T2^-1 * T1^-1 * T2^-1 * T1^-4 * T2^-1, T2^4 * T1^-1 * T2^6, T1 * T2^-1 * T1 * T2^-2 * T1^3 * T2^-4 * T1, T1^2 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^3 ]
Map:: non-degenerate
	R = (1, 54, 3, 56, 9, 62, 19, 72, 33, 86, 43, 96, 42, 95, 32, 85, 18, 71, 8, 61, 2, 55, 7, 60, 17, 70, 31, 84, 41, 94, 51, 104, 50, 103, 40, 93, 30, 83, 16, 69, 6, 59, 15, 68, 29, 82, 22, 75, 36, 89, 46, 99, 53, 106, 49, 102, 39, 92, 28, 81, 14, 67, 27, 80, 23, 76, 11, 64, 21, 74, 35, 88, 45, 98, 52, 105, 48, 101, 38, 91, 26, 79, 24, 77, 12, 65, 4, 57, 10, 63, 20, 73, 34, 87, 44, 97, 47, 100, 37, 90, 25, 78, 13, 66, 5, 58)
	L = (1, 55)(2, 59)(3, 60)(4, 54)(5, 61)(6, 67)(7, 68)(8, 69)(9, 70)(10, 56)(11, 57)(12, 58)(13, 71)(14, 79)(15, 80)(16, 81)(17, 82)(18, 83)(19, 84)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 85)(26, 78)(27, 77)(28, 91)(29, 76)(30, 92)(31, 75)(32, 93)(33, 94)(34, 72)(35, 73)(36, 74)(37, 95)(38, 90)(39, 101)(40, 102)(41, 89)(42, 103)(43, 104)(44, 86)(45, 87)(46, 88)(47, 96)(48, 100)(49, 105)(50, 106)(51, 99)(52, 97)(53, 98)
	local type(s) :: { ( 53^106 ) }
Outer automorphisms :: reflexible
Dual of E26.653
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 53 f = 2
	degree seq :: [ 106 ]

E26.678 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {53, 53, 53})
Quotient :: loop
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, T2^-3 * T1^-1, (F * T1)^2, (F * T2)^2, T1^-1 * T2^-1 * T1^-17 ]
Map:: non-degenerate
	R = (1, 54, 3, 56, 9, 62, 4, 57, 10, 63, 15, 68, 11, 64, 16, 69, 21, 74, 17, 70, 22, 75, 27, 80, 23, 76, 28, 81, 33, 86, 29, 82, 34, 87, 39, 92, 35, 88, 40, 93, 45, 98, 41, 94, 46, 99, 51, 104, 47, 100, 52, 105, 48, 101, 53, 106, 50, 103, 42, 95, 49, 102, 44, 97, 36, 89, 43, 96, 38, 91, 30, 83, 37, 90, 32, 85, 24, 77, 31, 84, 26, 79, 18, 71, 25, 78, 20, 73, 12, 65, 19, 72, 14, 67, 6, 59, 13, 66, 8, 61, 2, 55, 7, 60, 5, 58)
	L = (1, 55)(2, 59)(3, 60)(4, 54)(5, 61)(6, 65)(7, 66)(8, 67)(9, 58)(10, 56)(11, 57)(12, 71)(13, 72)(14, 73)(15, 62)(16, 63)(17, 64)(18, 77)(19, 78)(20, 79)(21, 68)(22, 69)(23, 70)(24, 83)(25, 84)(26, 85)(27, 74)(28, 75)(29, 76)(30, 89)(31, 90)(32, 91)(33, 80)(34, 81)(35, 82)(36, 95)(37, 96)(38, 97)(39, 86)(40, 87)(41, 88)(42, 101)(43, 102)(44, 103)(45, 92)(46, 93)(47, 94)(48, 104)(49, 106)(50, 105)(51, 98)(52, 99)(53, 100)
	local type(s) :: { ( 53^106 ) }
Outer automorphisms :: reflexible
Dual of E26.652
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 53 f = 2
	degree seq :: [ 106 ]

E26.679 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {53, 53, 53})
Quotient :: loop
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ F^2, (T1, T2), (F * T2)^2, (F * T1)^2, T1^3 * T2^-1 * T1 * T2^-4, T2^-1 * T1^-1 * T2^-1 * T1^-8, 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 * T1^5 ]
Map:: non-degenerate
	R = (1, 54, 3, 56, 9, 62, 19, 72, 33, 86, 26, 79, 43, 96, 47, 100, 51, 104, 40, 93, 24, 77, 12, 65, 4, 57, 10, 63, 20, 73, 34, 87, 28, 81, 14, 67, 27, 80, 44, 97, 52, 105, 50, 103, 39, 92, 23, 76, 11, 64, 21, 74, 35, 88, 30, 83, 16, 69, 6, 59, 15, 68, 29, 82, 45, 98, 53, 106, 49, 102, 38, 91, 22, 75, 36, 89, 32, 85, 18, 71, 8, 61, 2, 55, 7, 60, 17, 70, 31, 84, 46, 99, 42, 95, 48, 101, 37, 90, 41, 94, 25, 78, 13, 66, 5, 58)
	L = (1, 55)(2, 59)(3, 60)(4, 54)(5, 61)(6, 67)(7, 68)(8, 69)(9, 70)(10, 56)(11, 57)(12, 58)(13, 71)(14, 79)(15, 80)(16, 81)(17, 82)(18, 83)(19, 84)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 85)(26, 95)(27, 96)(28, 86)(29, 97)(30, 87)(31, 98)(32, 88)(33, 99)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)(39, 77)(40, 78)(41, 89)(42, 102)(43, 101)(44, 100)(45, 105)(46, 106)(47, 90)(48, 91)(49, 92)(50, 93)(51, 94)(52, 104)(53, 103)
	local type(s) :: { ( 53^106 ) }
Outer automorphisms :: reflexible
Dual of E26.654
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 53 f = 2
	degree seq :: [ 106 ]

E26.680 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^2 * Y3^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^26 * Y2, Y2 * Y1^-26 ]
Map::
	R = (1, 54, 2, 55, 6, 59, 10, 63, 14, 67, 18, 71, 22, 75, 26, 79, 30, 83, 34, 87, 38, 91, 42, 95, 46, 99, 50, 103, 52, 105, 48, 101, 44, 97, 40, 93, 36, 89, 32, 85, 28, 81, 24, 77, 20, 73, 16, 69, 12, 65, 8, 61, 3, 56, 5, 58, 7, 60, 11, 64, 15, 68, 19, 72, 23, 76, 27, 80, 31, 84, 35, 88, 39, 92, 43, 96, 47, 100, 51, 104, 53, 106, 49, 102, 45, 98, 41, 94, 37, 90, 33, 86, 29, 82, 25, 78, 21, 74, 17, 70, 13, 66, 9, 62, 4, 57)(107, 160, 109, 162, 110, 163, 114, 167, 115, 168, 118, 171, 119, 172, 122, 175, 123, 176, 126, 179, 127, 180, 130, 183, 131, 184, 134, 187, 135, 188, 138, 191, 139, 192, 142, 195, 143, 196, 146, 199, 147, 200, 150, 203, 151, 204, 154, 207, 155, 208, 158, 211, 159, 212, 156, 209, 157, 210, 152, 205, 153, 206, 148, 201, 149, 202, 144, 197, 145, 198, 140, 193, 141, 194, 136, 189, 137, 190, 132, 185, 133, 186, 128, 181, 129, 182, 124, 177, 125, 178, 120, 173, 121, 174, 116, 169, 117, 170, 112, 165, 113, 166, 108, 161, 111, 164)
	L = (1, 110)(2, 107)(3, 114)(4, 115)(5, 109)(6, 108)(7, 111)(8, 118)(9, 119)(10, 112)(11, 113)(12, 122)(13, 123)(14, 116)(15, 117)(16, 126)(17, 127)(18, 120)(19, 121)(20, 130)(21, 131)(22, 124)(23, 125)(24, 134)(25, 135)(26, 128)(27, 129)(28, 138)(29, 139)(30, 132)(31, 133)(32, 142)(33, 143)(34, 136)(35, 137)(36, 146)(37, 147)(38, 140)(39, 141)(40, 150)(41, 151)(42, 144)(43, 145)(44, 154)(45, 155)(46, 148)(47, 149)(48, 158)(49, 159)(50, 152)(51, 153)(52, 156)(53, 157)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106 ) }
Outer automorphisms :: reflexible
Dual of E26.705
Graph:: bipartite
	v = 2 e = 106 f = 54
	degree seq :: [ 106^2 ]

E26.681 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3 * Y2^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y1^-1), Y2^-1 * Y3^12 * Y2^-1 * Y3^-13, Y1^13 * Y2 * Y1 * Y3^-12, Y2 * Y3^-26, (Y3 * Y2^-1)^53 ]
Map::
	R = (1, 54, 2, 55, 6, 59, 10, 63, 14, 67, 18, 71, 22, 75, 26, 79, 30, 83, 34, 87, 38, 91, 42, 95, 46, 99, 50, 103, 53, 106, 49, 102, 45, 98, 41, 94, 37, 90, 33, 86, 29, 82, 25, 78, 21, 74, 17, 70, 13, 66, 9, 62, 5, 58, 3, 56, 7, 60, 11, 64, 15, 68, 19, 72, 23, 76, 27, 80, 31, 84, 35, 88, 39, 92, 43, 96, 47, 100, 51, 104, 52, 105, 48, 101, 44, 97, 40, 93, 36, 89, 32, 85, 28, 81, 24, 77, 20, 73, 16, 69, 12, 65, 8, 61, 4, 57)(107, 160, 109, 162, 108, 161, 113, 166, 112, 165, 117, 170, 116, 169, 121, 174, 120, 173, 125, 178, 124, 177, 129, 182, 128, 181, 133, 186, 132, 185, 137, 190, 136, 189, 141, 194, 140, 193, 145, 198, 144, 197, 149, 202, 148, 201, 153, 206, 152, 205, 157, 210, 156, 209, 158, 211, 159, 212, 154, 207, 155, 208, 150, 203, 151, 204, 146, 199, 147, 200, 142, 195, 143, 196, 138, 191, 139, 192, 134, 187, 135, 188, 130, 183, 131, 184, 126, 179, 127, 180, 122, 175, 123, 176, 118, 171, 119, 172, 114, 167, 115, 168, 110, 163, 111, 164)
	L = (1, 110)(2, 107)(3, 111)(4, 114)(5, 115)(6, 108)(7, 109)(8, 118)(9, 119)(10, 112)(11, 113)(12, 122)(13, 123)(14, 116)(15, 117)(16, 126)(17, 127)(18, 120)(19, 121)(20, 130)(21, 131)(22, 124)(23, 125)(24, 134)(25, 135)(26, 128)(27, 129)(28, 138)(29, 139)(30, 132)(31, 133)(32, 142)(33, 143)(34, 136)(35, 137)(36, 146)(37, 147)(38, 140)(39, 141)(40, 150)(41, 151)(42, 144)(43, 145)(44, 154)(45, 155)(46, 148)(47, 149)(48, 158)(49, 159)(50, 152)(51, 153)(52, 157)(53, 156)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106 ) }
Outer automorphisms :: reflexible
Dual of E26.721
Graph:: bipartite
	v = 2 e = 106 f = 54
	degree seq :: [ 106^2 ]

E26.682 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y2^-1 * Y1^-1 * Y2^-2, (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, (Y3^-1, Y2^-1), Y1^-9 * Y3^-9, Y1^8 * Y2 * Y1 * Y3^-9, Y2^-1 * Y1^-1 * Y3^7 * Y2^2 * Y3^7 * Y2^2 * Y3^7 * Y2^2 * Y3^7 * Y2^2 * 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 ]
Map::
	R = (1, 54, 2, 55, 6, 59, 12, 65, 18, 71, 24, 77, 30, 83, 36, 89, 42, 95, 48, 101, 51, 104, 45, 98, 39, 92, 33, 86, 27, 80, 21, 74, 15, 68, 9, 62, 5, 58, 8, 61, 14, 67, 20, 73, 26, 79, 32, 85, 38, 91, 44, 97, 50, 103, 52, 105, 46, 99, 40, 93, 34, 87, 28, 81, 22, 75, 16, 69, 10, 63, 3, 56, 7, 60, 13, 66, 19, 72, 25, 78, 31, 84, 37, 90, 43, 96, 49, 102, 53, 106, 47, 100, 41, 94, 35, 88, 29, 82, 23, 76, 17, 70, 11, 64, 4, 57)(107, 160, 109, 162, 115, 168, 110, 163, 116, 169, 121, 174, 117, 170, 122, 175, 127, 180, 123, 176, 128, 181, 133, 186, 129, 182, 134, 187, 139, 192, 135, 188, 140, 193, 145, 198, 141, 194, 146, 199, 151, 204, 147, 200, 152, 205, 157, 210, 153, 206, 158, 211, 154, 207, 159, 212, 156, 209, 148, 201, 155, 208, 150, 203, 142, 195, 149, 202, 144, 197, 136, 189, 143, 196, 138, 191, 130, 183, 137, 190, 132, 185, 124, 177, 131, 184, 126, 179, 118, 171, 125, 178, 120, 173, 112, 165, 119, 172, 114, 167, 108, 161, 113, 166, 111, 164)
	L = (1, 110)(2, 107)(3, 116)(4, 117)(5, 115)(6, 108)(7, 109)(8, 111)(9, 121)(10, 122)(11, 123)(12, 112)(13, 113)(14, 114)(15, 127)(16, 128)(17, 129)(18, 118)(19, 119)(20, 120)(21, 133)(22, 134)(23, 135)(24, 124)(25, 125)(26, 126)(27, 139)(28, 140)(29, 141)(30, 130)(31, 131)(32, 132)(33, 145)(34, 146)(35, 147)(36, 136)(37, 137)(38, 138)(39, 151)(40, 152)(41, 153)(42, 142)(43, 143)(44, 144)(45, 157)(46, 158)(47, 159)(48, 148)(49, 149)(50, 150)(51, 154)(52, 156)(53, 155)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106 ) }
Outer automorphisms :: reflexible
Dual of E26.729
Graph:: bipartite
	v = 2 e = 106 f = 54
	degree seq :: [ 106^2 ]

E26.683 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y1)^2, Y2^-2 * Y3^-1 * Y2^-1, (Y2^-1, Y1^-1), (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y1^7 * Y3^-2 * Y1^9, Y3^-1 * Y1 * Y2 * Y3^8 * Y2 * Y3^8 * Y2 * Y3^5 * Y2, (Y3 * Y2^-1)^53 ]
Map::
	R = (1, 54, 2, 55, 6, 59, 12, 65, 18, 71, 24, 77, 30, 83, 36, 89, 42, 95, 48, 101, 51, 104, 45, 98, 39, 92, 33, 86, 27, 80, 21, 74, 15, 68, 9, 62, 3, 56, 7, 60, 13, 66, 19, 72, 25, 78, 31, 84, 37, 90, 43, 96, 49, 102, 53, 106, 47, 100, 41, 94, 35, 88, 29, 82, 23, 76, 17, 70, 11, 64, 5, 58, 8, 61, 14, 67, 20, 73, 26, 79, 32, 85, 38, 91, 44, 97, 50, 103, 52, 105, 46, 99, 40, 93, 34, 87, 28, 81, 22, 75, 16, 69, 10, 63, 4, 57)(107, 160, 109, 162, 114, 167, 108, 161, 113, 166, 120, 173, 112, 165, 119, 172, 126, 179, 118, 171, 125, 178, 132, 185, 124, 177, 131, 184, 138, 191, 130, 183, 137, 190, 144, 197, 136, 189, 143, 196, 150, 203, 142, 195, 149, 202, 156, 209, 148, 201, 155, 208, 158, 211, 154, 207, 159, 212, 152, 205, 157, 210, 153, 206, 146, 199, 151, 204, 147, 200, 140, 193, 145, 198, 141, 194, 134, 187, 139, 192, 135, 188, 128, 181, 133, 186, 129, 182, 122, 175, 127, 180, 123, 176, 116, 169, 121, 174, 117, 170, 110, 163, 115, 168, 111, 164)
	L = (1, 110)(2, 107)(3, 115)(4, 116)(5, 117)(6, 108)(7, 109)(8, 111)(9, 121)(10, 122)(11, 123)(12, 112)(13, 113)(14, 114)(15, 127)(16, 128)(17, 129)(18, 118)(19, 119)(20, 120)(21, 133)(22, 134)(23, 135)(24, 124)(25, 125)(26, 126)(27, 139)(28, 140)(29, 141)(30, 130)(31, 131)(32, 132)(33, 145)(34, 146)(35, 147)(36, 136)(37, 137)(38, 138)(39, 151)(40, 152)(41, 153)(42, 142)(43, 143)(44, 144)(45, 157)(46, 158)(47, 159)(48, 148)(49, 149)(50, 150)(51, 154)(52, 156)(53, 155)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106 ) }
Outer automorphisms :: reflexible
Dual of E26.717
Graph:: bipartite
	v = 2 e = 106 f = 54
	degree seq :: [ 106^2 ]

E26.684 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y2)^2, (Y2, Y3^-1), (R * Y3)^2, (Y2, Y1^-1), (R * Y1)^2, Y2^4 * Y1, Y1^-13 * Y2, Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2^2 * Y3 ]
Map::
	R = (1, 54, 2, 55, 6, 59, 14, 67, 22, 75, 30, 83, 38, 91, 46, 99, 43, 96, 35, 88, 27, 80, 19, 72, 10, 63, 3, 56, 7, 60, 15, 68, 23, 76, 31, 84, 39, 92, 47, 100, 52, 105, 50, 103, 42, 95, 34, 87, 26, 79, 18, 71, 9, 62, 13, 66, 17, 70, 25, 78, 33, 86, 41, 94, 49, 102, 53, 106, 51, 104, 45, 98, 37, 90, 29, 82, 21, 74, 12, 65, 5, 58, 8, 61, 16, 69, 24, 77, 32, 85, 40, 93, 48, 101, 44, 97, 36, 89, 28, 81, 20, 73, 11, 64, 4, 57)(107, 160, 109, 162, 115, 168, 118, 171, 110, 163, 116, 169, 124, 177, 127, 180, 117, 170, 125, 178, 132, 185, 135, 188, 126, 179, 133, 186, 140, 193, 143, 196, 134, 187, 141, 194, 148, 201, 151, 204, 142, 195, 149, 202, 156, 209, 157, 210, 150, 203, 152, 205, 158, 211, 159, 212, 154, 207, 144, 197, 153, 206, 155, 208, 146, 199, 136, 189, 145, 198, 147, 200, 138, 191, 128, 181, 137, 190, 139, 192, 130, 183, 120, 173, 129, 182, 131, 184, 122, 175, 112, 165, 121, 174, 123, 176, 114, 167, 108, 161, 113, 166, 119, 172, 111, 164)
	L = (1, 110)(2, 107)(3, 116)(4, 117)(5, 118)(6, 108)(7, 109)(8, 111)(9, 124)(10, 125)(11, 126)(12, 127)(13, 115)(14, 112)(15, 113)(16, 114)(17, 119)(18, 132)(19, 133)(20, 134)(21, 135)(22, 120)(23, 121)(24, 122)(25, 123)(26, 140)(27, 141)(28, 142)(29, 143)(30, 128)(31, 129)(32, 130)(33, 131)(34, 148)(35, 149)(36, 150)(37, 151)(38, 136)(39, 137)(40, 138)(41, 139)(42, 156)(43, 152)(44, 154)(45, 157)(46, 144)(47, 145)(48, 146)(49, 147)(50, 158)(51, 159)(52, 153)(53, 155)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106 ) }
Outer automorphisms :: reflexible
Dual of E26.722
Graph:: bipartite
	v = 2 e = 106 f = 54
	degree seq :: [ 106^2 ]

E26.685 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y2)^2, (R * Y1)^2, (Y2, Y3^-1), (Y2, Y1^-1), (R * Y3)^2, Y2^-1 * Y1 * Y2^-3, Y2 * Y3^6 * Y2^-1 * Y1^6, Y1 * Y2 * Y1^12, 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 ]
Map::
	R = (1, 54, 2, 55, 6, 59, 14, 67, 22, 75, 30, 83, 38, 91, 46, 99, 44, 97, 36, 89, 28, 81, 20, 73, 12, 65, 5, 58, 8, 61, 16, 69, 24, 77, 32, 85, 40, 93, 48, 101, 52, 105, 51, 104, 45, 98, 37, 90, 29, 82, 21, 74, 13, 66, 9, 62, 17, 70, 25, 78, 33, 86, 41, 94, 49, 102, 53, 106, 50, 103, 42, 95, 34, 87, 26, 79, 18, 71, 10, 63, 3, 56, 7, 60, 15, 68, 23, 76, 31, 84, 39, 92, 47, 100, 43, 96, 35, 88, 27, 80, 19, 72, 11, 64, 4, 57)(107, 160, 109, 162, 115, 168, 114, 167, 108, 161, 113, 166, 123, 176, 122, 175, 112, 165, 121, 174, 131, 184, 130, 183, 120, 173, 129, 182, 139, 192, 138, 191, 128, 181, 137, 190, 147, 200, 146, 199, 136, 189, 145, 198, 155, 208, 154, 207, 144, 197, 153, 206, 159, 212, 158, 211, 152, 205, 149, 202, 156, 209, 157, 210, 150, 203, 141, 194, 148, 201, 151, 204, 142, 195, 133, 186, 140, 193, 143, 196, 134, 187, 125, 178, 132, 185, 135, 188, 126, 179, 117, 170, 124, 177, 127, 180, 118, 171, 110, 163, 116, 169, 119, 172, 111, 164)
	L = (1, 110)(2, 107)(3, 116)(4, 117)(5, 118)(6, 108)(7, 109)(8, 111)(9, 119)(10, 124)(11, 125)(12, 126)(13, 127)(14, 112)(15, 113)(16, 114)(17, 115)(18, 132)(19, 133)(20, 134)(21, 135)(22, 120)(23, 121)(24, 122)(25, 123)(26, 140)(27, 141)(28, 142)(29, 143)(30, 128)(31, 129)(32, 130)(33, 131)(34, 148)(35, 149)(36, 150)(37, 151)(38, 136)(39, 137)(40, 138)(41, 139)(42, 156)(43, 153)(44, 152)(45, 157)(46, 144)(47, 145)(48, 146)(49, 147)(50, 159)(51, 158)(52, 154)(53, 155)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106 ) }
Outer automorphisms :: reflexible
Dual of E26.725
Graph:: bipartite
	v = 2 e = 106 f = 54
	degree seq :: [ 106^2 ]

E26.686 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1 * Y3, (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y2 * Y3^-1 * Y2^4, Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^2 * Y3, Y2^2 * Y1^-1 * Y2 * Y1^-9, Y1^5 * Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-2, Y2^-1 * Y3^2 * Y2 * 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 ]
Map::
	R = (1, 54, 2, 55, 6, 59, 14, 67, 24, 77, 34, 87, 44, 97, 49, 102, 39, 92, 29, 82, 19, 72, 13, 66, 18, 71, 28, 81, 38, 91, 48, 101, 51, 104, 41, 94, 31, 84, 21, 74, 10, 63, 3, 56, 7, 60, 15, 68, 25, 78, 35, 88, 45, 98, 53, 106, 43, 96, 33, 86, 23, 76, 12, 65, 5, 58, 8, 61, 16, 69, 26, 79, 36, 89, 46, 99, 50, 103, 40, 93, 30, 83, 20, 73, 9, 62, 17, 70, 27, 80, 37, 90, 47, 100, 52, 105, 42, 95, 32, 85, 22, 75, 11, 64, 4, 57)(107, 160, 109, 162, 115, 168, 125, 178, 118, 171, 110, 163, 116, 169, 126, 179, 135, 188, 129, 182, 117, 170, 127, 180, 136, 189, 145, 198, 139, 192, 128, 181, 137, 190, 146, 199, 155, 208, 149, 202, 138, 191, 147, 200, 156, 209, 150, 203, 159, 212, 148, 201, 157, 210, 152, 205, 140, 193, 151, 204, 158, 211, 154, 207, 142, 195, 130, 183, 141, 194, 153, 206, 144, 197, 132, 185, 120, 173, 131, 184, 143, 196, 134, 187, 122, 175, 112, 165, 121, 174, 133, 186, 124, 177, 114, 167, 108, 161, 113, 166, 123, 176, 119, 172, 111, 164)
	L = (1, 110)(2, 107)(3, 116)(4, 117)(5, 118)(6, 108)(7, 109)(8, 111)(9, 126)(10, 127)(11, 128)(12, 129)(13, 125)(14, 112)(15, 113)(16, 114)(17, 115)(18, 119)(19, 135)(20, 136)(21, 137)(22, 138)(23, 139)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 145)(30, 146)(31, 147)(32, 148)(33, 149)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 155)(40, 156)(41, 157)(42, 158)(43, 159)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 150)(50, 152)(51, 154)(52, 153)(53, 151)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106 ) }
Outer automorphisms :: reflexible
Dual of E26.716
Graph:: bipartite
	v = 2 e = 106 f = 54
	degree seq :: [ 106^2 ]

E26.687 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y3^-1, Y2^-1), (R * Y2)^2, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y2^4 * Y1^-1 * Y2, Y2^5 * Y3, Y1^4 * Y2^-1 * Y1^2 * Y3^-5 * Y2^-1, Y2 * Y1 * Y2 * Y1^9 * 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 ]
Map::
	R = (1, 54, 2, 55, 6, 59, 14, 67, 24, 77, 34, 87, 44, 97, 49, 102, 39, 92, 29, 82, 19, 72, 9, 62, 17, 70, 27, 80, 37, 90, 47, 100, 52, 105, 42, 95, 32, 85, 22, 75, 12, 65, 5, 58, 8, 61, 16, 69, 26, 79, 36, 89, 46, 99, 50, 103, 40, 93, 30, 83, 20, 73, 10, 63, 3, 56, 7, 60, 15, 68, 25, 78, 35, 88, 45, 98, 53, 106, 43, 96, 33, 86, 23, 76, 13, 66, 18, 71, 28, 81, 38, 91, 48, 101, 51, 104, 41, 94, 31, 84, 21, 74, 11, 64, 4, 57)(107, 160, 109, 162, 115, 168, 124, 177, 114, 167, 108, 161, 113, 166, 123, 176, 134, 187, 122, 175, 112, 165, 121, 174, 133, 186, 144, 197, 132, 185, 120, 173, 131, 184, 143, 196, 154, 207, 142, 195, 130, 183, 141, 194, 153, 206, 157, 210, 152, 205, 140, 193, 151, 204, 158, 211, 147, 200, 156, 209, 150, 203, 159, 212, 148, 201, 137, 190, 146, 199, 155, 208, 149, 202, 138, 191, 127, 180, 136, 189, 145, 198, 139, 192, 128, 181, 117, 170, 126, 179, 135, 188, 129, 182, 118, 171, 110, 163, 116, 169, 125, 178, 119, 172, 111, 164)
	L = (1, 110)(2, 107)(3, 116)(4, 117)(5, 118)(6, 108)(7, 109)(8, 111)(9, 125)(10, 126)(11, 127)(12, 128)(13, 129)(14, 112)(15, 113)(16, 114)(17, 115)(18, 119)(19, 135)(20, 136)(21, 137)(22, 138)(23, 139)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 145)(30, 146)(31, 147)(32, 148)(33, 149)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 155)(40, 156)(41, 157)(42, 158)(43, 159)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 150)(50, 152)(51, 154)(52, 153)(53, 151)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106 ) }
Outer automorphisms :: reflexible
Dual of E26.712
Graph:: bipartite
	v = 2 e = 106 f = 54
	degree seq :: [ 106^2 ]

E26.688 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y1)^2, (Y2, Y1^-1), (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), Y2^4 * Y3^-1 * Y2^2, Y1^-4 * Y3^4 * Y2^-1 * Y3, Y3^2 * Y2^-1 * Y3^6 * Y1^-1, Y3^-4 * Y2^-1 * Y1 * Y2^-1 * Y3^-3 * Y2^-3, Y1^44 * 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 * Y2^3 ]
Map::
	R = (1, 54, 2, 55, 6, 59, 14, 67, 26, 79, 38, 91, 36, 89, 23, 76, 12, 65, 5, 58, 8, 61, 16, 69, 28, 81, 40, 93, 48, 101, 47, 100, 37, 90, 24, 77, 13, 66, 18, 71, 30, 83, 42, 95, 50, 103, 52, 105, 44, 97, 32, 85, 19, 72, 25, 78, 31, 84, 43, 96, 51, 104, 53, 106, 45, 98, 33, 86, 20, 73, 9, 62, 17, 70, 29, 82, 41, 94, 49, 102, 46, 99, 34, 87, 21, 74, 10, 63, 3, 56, 7, 60, 15, 68, 27, 80, 39, 92, 35, 88, 22, 75, 11, 64, 4, 57)(107, 160, 109, 162, 115, 168, 125, 178, 130, 183, 118, 171, 110, 163, 116, 169, 126, 179, 138, 191, 143, 196, 129, 182, 117, 170, 127, 180, 139, 192, 150, 203, 153, 206, 142, 195, 128, 181, 140, 193, 151, 204, 158, 211, 154, 207, 144, 197, 141, 194, 152, 205, 159, 212, 156, 209, 146, 199, 132, 185, 145, 198, 155, 208, 157, 210, 148, 201, 134, 187, 120, 173, 133, 186, 147, 200, 149, 202, 136, 189, 122, 175, 112, 165, 121, 174, 135, 188, 137, 190, 124, 177, 114, 167, 108, 161, 113, 166, 123, 176, 131, 184, 119, 172, 111, 164)
	L = (1, 110)(2, 107)(3, 116)(4, 117)(5, 118)(6, 108)(7, 109)(8, 111)(9, 126)(10, 127)(11, 128)(12, 129)(13, 130)(14, 112)(15, 113)(16, 114)(17, 115)(18, 119)(19, 138)(20, 139)(21, 140)(22, 141)(23, 142)(24, 143)(25, 125)(26, 120)(27, 121)(28, 122)(29, 123)(30, 124)(31, 131)(32, 150)(33, 151)(34, 152)(35, 145)(36, 144)(37, 153)(38, 132)(39, 133)(40, 134)(41, 135)(42, 136)(43, 137)(44, 158)(45, 159)(46, 155)(47, 154)(48, 146)(49, 147)(50, 148)(51, 149)(52, 156)(53, 157)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106 ) }
Outer automorphisms :: reflexible
Dual of E26.724
Graph:: bipartite
	v = 2 e = 106 f = 54
	degree seq :: [ 106^2 ]

E26.689 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2, Y1^-1), Y2 * Y3 * Y2^5, Y1^5 * Y2^-1 * Y3^-4, Y3 * Y2 * Y3^4 * Y2 * Y3^4 * Y2 * Y3^4 * Y2 * Y3^4 * Y2 * Y3^4 * Y2 * Y3^4 * Y2 * Y3^4 * Y2 * Y3^4 * Y2 * Y3^4 * 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 ]
Map::
	R = (1, 54, 2, 55, 6, 59, 14, 67, 26, 79, 38, 91, 33, 86, 21, 74, 10, 63, 3, 56, 7, 60, 15, 68, 27, 80, 39, 92, 48, 101, 44, 97, 32, 85, 20, 73, 9, 62, 17, 70, 29, 82, 41, 94, 49, 102, 53, 106, 47, 100, 37, 90, 25, 78, 19, 72, 31, 84, 43, 96, 51, 104, 52, 105, 46, 99, 36, 89, 24, 77, 13, 66, 18, 71, 30, 83, 42, 95, 50, 103, 45, 98, 35, 88, 23, 76, 12, 65, 5, 58, 8, 61, 16, 69, 28, 81, 40, 93, 34, 87, 22, 75, 11, 64, 4, 57)(107, 160, 109, 162, 115, 168, 125, 178, 124, 177, 114, 167, 108, 161, 113, 166, 123, 176, 137, 190, 136, 189, 122, 175, 112, 165, 121, 174, 135, 188, 149, 202, 148, 201, 134, 187, 120, 173, 133, 186, 147, 200, 157, 210, 156, 209, 146, 199, 132, 185, 145, 198, 155, 208, 158, 211, 151, 204, 140, 193, 144, 197, 154, 207, 159, 212, 152, 205, 141, 194, 128, 181, 139, 192, 150, 203, 153, 206, 142, 195, 129, 182, 117, 170, 127, 180, 138, 191, 143, 196, 130, 183, 118, 171, 110, 163, 116, 169, 126, 179, 131, 184, 119, 172, 111, 164)
	L = (1, 110)(2, 107)(3, 116)(4, 117)(5, 118)(6, 108)(7, 109)(8, 111)(9, 126)(10, 127)(11, 128)(12, 129)(13, 130)(14, 112)(15, 113)(16, 114)(17, 115)(18, 119)(19, 131)(20, 138)(21, 139)(22, 140)(23, 141)(24, 142)(25, 143)(26, 120)(27, 121)(28, 122)(29, 123)(30, 124)(31, 125)(32, 150)(33, 144)(34, 146)(35, 151)(36, 152)(37, 153)(38, 132)(39, 133)(40, 134)(41, 135)(42, 136)(43, 137)(44, 154)(45, 156)(46, 158)(47, 159)(48, 145)(49, 147)(50, 148)(51, 149)(52, 157)(53, 155)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106 ) }
Outer automorphisms :: reflexible
Dual of E26.719
Graph:: bipartite
	v = 2 e = 106 f = 54
	degree seq :: [ 106^2 ]

E26.690 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1^-1 * Y3^-1, Y3^-1 * Y2 * Y1^-1 * Y2^-1, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y1^-1, Y2), (R * Y1)^2, Y3^-1 * Y2^-3 * Y1^-1 * Y2^3, Y2^-5 * Y1^-1 * Y2^-2, Y1^-2 * Y2^-3 * Y3^3 * Y1^-3, Y1^5 * Y2^3 * Y3^-3, Y2^3 * Y1^-1 * Y2 * Y1^-6, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^2 * Y3^-3 * Y2^-2, Y2^-1 * Y3 * 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 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 54, 2, 55, 6, 59, 14, 67, 26, 79, 40, 93, 47, 100, 33, 86, 25, 78, 32, 85, 46, 99, 50, 103, 36, 89, 21, 74, 10, 63, 3, 56, 7, 60, 15, 68, 27, 80, 41, 94, 53, 106, 39, 92, 24, 77, 13, 66, 18, 71, 30, 83, 44, 97, 49, 102, 35, 88, 20, 73, 9, 62, 17, 70, 29, 82, 43, 96, 52, 105, 38, 91, 23, 76, 12, 65, 5, 58, 8, 61, 16, 69, 28, 81, 42, 95, 48, 101, 34, 87, 19, 72, 31, 84, 45, 98, 51, 104, 37, 90, 22, 75, 11, 64, 4, 57)(107, 160, 109, 162, 115, 168, 125, 178, 139, 192, 130, 183, 118, 171, 110, 163, 116, 169, 126, 179, 140, 193, 153, 206, 145, 198, 129, 182, 117, 170, 127, 180, 141, 194, 154, 207, 146, 199, 159, 212, 144, 197, 128, 181, 142, 195, 155, 208, 148, 201, 132, 185, 147, 200, 158, 211, 143, 196, 156, 209, 150, 203, 134, 187, 120, 173, 133, 186, 149, 202, 157, 210, 152, 205, 136, 189, 122, 175, 112, 165, 121, 174, 135, 188, 151, 204, 138, 191, 124, 177, 114, 167, 108, 161, 113, 166, 123, 176, 137, 190, 131, 184, 119, 172, 111, 164)
	L = (1, 110)(2, 107)(3, 116)(4, 117)(5, 118)(6, 108)(7, 109)(8, 111)(9, 126)(10, 127)(11, 128)(12, 129)(13, 130)(14, 112)(15, 113)(16, 114)(17, 115)(18, 119)(19, 140)(20, 141)(21, 142)(22, 143)(23, 144)(24, 145)(25, 139)(26, 120)(27, 121)(28, 122)(29, 123)(30, 124)(31, 125)(32, 131)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 132)(41, 133)(42, 134)(43, 135)(44, 136)(45, 137)(46, 138)(47, 146)(48, 148)(49, 150)(50, 152)(51, 151)(52, 149)(53, 147)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106 ) }
Outer automorphisms :: reflexible
Dual of E26.713
Graph:: bipartite
	v = 2 e = 106 f = 54
	degree seq :: [ 106^2 ]

E26.691 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (Y1^-1, Y2), (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y3)^2, Y2 * Y3 * Y2^-3 * Y3^-1 * Y2^2, Y2^6 * Y1^-1 * Y2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^5 * Y3^-1 * Y2^-1, Y1^2 * Y2^-1 * Y3^-6 * Y2^-2, Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2 * Y1^3 * Y3^-1, Y2^-2 * Y3 * Y2^-1 * Y3^2 * Y2^-1 * Y3^3 * 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 ]
Map::
	R = (1, 54, 2, 55, 6, 59, 14, 67, 26, 79, 40, 93, 47, 100, 33, 86, 19, 72, 31, 84, 45, 98, 51, 104, 37, 90, 23, 76, 12, 65, 5, 58, 8, 61, 16, 69, 28, 81, 42, 95, 48, 101, 34, 87, 20, 73, 9, 62, 17, 70, 29, 82, 43, 96, 52, 105, 38, 91, 24, 77, 13, 66, 18, 71, 30, 83, 44, 97, 49, 102, 35, 88, 21, 74, 10, 63, 3, 56, 7, 60, 15, 68, 27, 80, 41, 94, 53, 106, 39, 92, 25, 78, 32, 85, 46, 99, 50, 103, 36, 89, 22, 75, 11, 64, 4, 57)(107, 160, 109, 162, 115, 168, 125, 178, 138, 191, 124, 177, 114, 167, 108, 161, 113, 166, 123, 176, 137, 190, 152, 205, 136, 189, 122, 175, 112, 165, 121, 174, 135, 188, 151, 204, 156, 209, 150, 203, 134, 187, 120, 173, 133, 186, 149, 202, 157, 210, 142, 195, 155, 208, 148, 201, 132, 185, 147, 200, 158, 211, 143, 196, 128, 181, 141, 194, 154, 207, 146, 199, 159, 212, 144, 197, 129, 182, 117, 170, 127, 180, 140, 193, 153, 206, 145, 198, 130, 183, 118, 171, 110, 163, 116, 169, 126, 179, 139, 192, 131, 184, 119, 172, 111, 164)
	L = (1, 110)(2, 107)(3, 116)(4, 117)(5, 118)(6, 108)(7, 109)(8, 111)(9, 126)(10, 127)(11, 128)(12, 129)(13, 130)(14, 112)(15, 113)(16, 114)(17, 115)(18, 119)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 120)(27, 121)(28, 122)(29, 123)(30, 124)(31, 125)(32, 131)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 132)(41, 133)(42, 134)(43, 135)(44, 136)(45, 137)(46, 138)(47, 146)(48, 148)(49, 150)(50, 152)(51, 151)(52, 149)(53, 147)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106 ) }
Outer automorphisms :: reflexible
Dual of E26.723
Graph:: bipartite
	v = 2 e = 106 f = 54
	degree seq :: [ 106^2 ]

E26.692 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3 * Y1, (R * Y1)^2, (Y2, Y1^-1), (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2^-1), Y2^8 * Y1, Y1^-5 * Y2^-1 * Y1^-1 * Y2^-2 * Y1^-1, Y1^2 * Y2^-1 * Y1 * Y2^-2 * Y3^-3 * Y2^-2, Y1^4 * Y2^-1 * Y1 * Y3^-1 * Y2^-4, Y3 * Y2^-1 * Y3 * Y2^-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 ]
Map::
	R = (1, 54, 2, 55, 6, 59, 14, 67, 26, 79, 42, 95, 40, 93, 25, 78, 32, 85, 48, 101, 52, 105, 35, 88, 20, 73, 9, 62, 17, 70, 29, 82, 45, 98, 38, 91, 23, 76, 12, 65, 5, 58, 8, 61, 16, 69, 28, 81, 44, 97, 50, 103, 33, 86, 41, 94, 49, 102, 53, 106, 36, 89, 21, 74, 10, 63, 3, 56, 7, 60, 15, 68, 27, 80, 43, 96, 39, 92, 24, 77, 13, 66, 18, 71, 30, 83, 46, 99, 51, 104, 34, 87, 19, 72, 31, 84, 47, 100, 37, 90, 22, 75, 11, 64, 4, 57)(107, 160, 109, 162, 115, 168, 125, 178, 139, 192, 146, 199, 130, 183, 118, 171, 110, 163, 116, 169, 126, 179, 140, 193, 156, 209, 148, 201, 145, 198, 129, 182, 117, 170, 127, 180, 141, 194, 157, 210, 150, 203, 132, 185, 149, 202, 144, 197, 128, 181, 142, 195, 158, 211, 152, 205, 134, 187, 120, 173, 133, 186, 151, 204, 143, 196, 159, 212, 154, 207, 136, 189, 122, 175, 112, 165, 121, 174, 135, 188, 153, 206, 155, 208, 138, 191, 124, 177, 114, 167, 108, 161, 113, 166, 123, 176, 137, 190, 147, 200, 131, 184, 119, 172, 111, 164)
	L = (1, 110)(2, 107)(3, 116)(4, 117)(5, 118)(6, 108)(7, 109)(8, 111)(9, 126)(10, 127)(11, 128)(12, 129)(13, 130)(14, 112)(15, 113)(16, 114)(17, 115)(18, 119)(19, 140)(20, 141)(21, 142)(22, 143)(23, 144)(24, 145)(25, 146)(26, 120)(27, 121)(28, 122)(29, 123)(30, 124)(31, 125)(32, 131)(33, 156)(34, 157)(35, 158)(36, 159)(37, 153)(38, 151)(39, 149)(40, 148)(41, 139)(42, 132)(43, 133)(44, 134)(45, 135)(46, 136)(47, 137)(48, 138)(49, 147)(50, 150)(51, 152)(52, 154)(53, 155)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106 ) }
Outer automorphisms :: reflexible
Dual of E26.718
Graph:: bipartite
	v = 2 e = 106 f = 54
	degree seq :: [ 106^2 ]

E26.693 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y1)^2, (Y3^-1, Y2^-1), (Y2, Y1^-1), (R * Y3)^2, (R * Y2)^2, Y2^3 * Y3 * Y2^5, Y2 * Y3 * Y2 * Y3^2 * Y2 * Y1^-4, Y1^2 * Y2^-3 * Y3^-5, Y1^2 * Y2 * Y1^2 * Y2^4 * Y1 * Y3^-1, Y2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y3^-3, Y1 * Y2 * Y1 * Y2 * Y1 * Y2^3 * Y1 * Y3^-2, Y1^53, 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 ]
Map::
	R = (1, 54, 2, 55, 6, 59, 14, 67, 26, 79, 42, 95, 34, 87, 19, 72, 31, 84, 47, 100, 51, 104, 39, 92, 24, 77, 13, 66, 18, 71, 30, 83, 46, 99, 36, 89, 21, 74, 10, 63, 3, 56, 7, 60, 15, 68, 27, 80, 43, 96, 53, 106, 41, 94, 33, 86, 49, 102, 50, 103, 38, 91, 23, 76, 12, 65, 5, 58, 8, 61, 16, 69, 28, 81, 44, 97, 35, 88, 20, 73, 9, 62, 17, 70, 29, 82, 45, 98, 52, 105, 40, 93, 25, 78, 32, 85, 48, 101, 37, 90, 22, 75, 11, 64, 4, 57)(107, 160, 109, 162, 115, 168, 125, 178, 139, 192, 138, 191, 124, 177, 114, 167, 108, 161, 113, 166, 123, 176, 137, 190, 155, 208, 154, 207, 136, 189, 122, 175, 112, 165, 121, 174, 135, 188, 153, 206, 156, 209, 143, 196, 152, 205, 134, 187, 120, 173, 133, 186, 151, 204, 157, 210, 144, 197, 128, 181, 142, 195, 150, 203, 132, 185, 149, 202, 158, 211, 145, 198, 129, 182, 117, 170, 127, 180, 141, 194, 148, 201, 159, 212, 146, 199, 130, 183, 118, 171, 110, 163, 116, 169, 126, 179, 140, 193, 147, 200, 131, 184, 119, 172, 111, 164)
	L = (1, 110)(2, 107)(3, 116)(4, 117)(5, 118)(6, 108)(7, 109)(8, 111)(9, 126)(10, 127)(11, 128)(12, 129)(13, 130)(14, 112)(15, 113)(16, 114)(17, 115)(18, 119)(19, 140)(20, 141)(21, 142)(22, 143)(23, 144)(24, 145)(25, 146)(26, 120)(27, 121)(28, 122)(29, 123)(30, 124)(31, 125)(32, 131)(33, 147)(34, 148)(35, 150)(36, 152)(37, 154)(38, 156)(39, 157)(40, 158)(41, 159)(42, 132)(43, 133)(44, 134)(45, 135)(46, 136)(47, 137)(48, 138)(49, 139)(50, 155)(51, 153)(52, 151)(53, 149)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106 ) }
Outer automorphisms :: reflexible
Dual of E26.709
Graph:: bipartite
	v = 2 e = 106 f = 54
	degree seq :: [ 106^2 ]

E26.694 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|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, Y3^2 * Y2 * Y3 * Y2^2 * Y3 * Y1^-1, Y2^2 * Y3 * Y2 * Y1^-4, Y2^10 * Y1, Y2^2 * Y3 * Y2 * Y1^49, 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 ]
Map::
	R = (1, 54, 2, 55, 6, 59, 14, 67, 26, 79, 19, 72, 31, 84, 40, 93, 49, 102, 53, 106, 46, 99, 37, 90, 42, 95, 34, 87, 23, 76, 12, 65, 5, 58, 8, 61, 16, 69, 28, 81, 20, 73, 9, 62, 17, 70, 29, 82, 39, 92, 48, 101, 43, 96, 47, 100, 51, 104, 44, 97, 35, 88, 24, 77, 13, 66, 18, 71, 30, 83, 21, 74, 10, 63, 3, 56, 7, 60, 15, 68, 27, 80, 38, 91, 33, 86, 41, 94, 50, 103, 52, 105, 45, 98, 36, 89, 25, 78, 32, 85, 22, 75, 11, 64, 4, 57)(107, 160, 109, 162, 115, 168, 125, 178, 139, 192, 149, 202, 152, 205, 142, 195, 130, 183, 118, 171, 110, 163, 116, 169, 126, 179, 132, 185, 144, 197, 154, 207, 159, 212, 151, 204, 141, 194, 129, 182, 117, 170, 127, 180, 134, 187, 120, 173, 133, 186, 145, 198, 155, 208, 158, 211, 150, 203, 140, 193, 128, 181, 136, 189, 122, 175, 112, 165, 121, 174, 135, 188, 146, 199, 156, 209, 157, 210, 148, 201, 138, 191, 124, 177, 114, 167, 108, 161, 113, 166, 123, 176, 137, 190, 147, 200, 153, 206, 143, 196, 131, 184, 119, 172, 111, 164)
	L = (1, 110)(2, 107)(3, 116)(4, 117)(5, 118)(6, 108)(7, 109)(8, 111)(9, 126)(10, 127)(11, 128)(12, 129)(13, 130)(14, 112)(15, 113)(16, 114)(17, 115)(18, 119)(19, 132)(20, 134)(21, 136)(22, 138)(23, 140)(24, 141)(25, 142)(26, 120)(27, 121)(28, 122)(29, 123)(30, 124)(31, 125)(32, 131)(33, 144)(34, 148)(35, 150)(36, 151)(37, 152)(38, 133)(39, 135)(40, 137)(41, 139)(42, 143)(43, 154)(44, 157)(45, 158)(46, 159)(47, 149)(48, 145)(49, 146)(50, 147)(51, 153)(52, 156)(53, 155)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106 ) }
Outer automorphisms :: reflexible
Dual of E26.710
Graph:: bipartite
	v = 2 e = 106 f = 54
	degree seq :: [ 106^2 ]

E26.695 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y2, Y1^-1), (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y1)^2, Y2 * Y3^-1 * Y2 * Y3^-4 * Y2, Y3 * Y2^-1 * Y3^2 * Y2^-2 * Y1^-2, Y2^-1 * Y3^-3 * Y2 * Y1^-3, Y2^3 * Y3 * Y2^7, Y3^-3 * Y1 * Y2^-2 * Y3^-1 * Y2^5, Y1^2 * Y2^-1 * Y1 * Y2^-2 * Y1^3 * Y2^-4, Y3^-4 * Y1^49, Y1^2 * 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^-2 ]
Map::
	R = (1, 54, 2, 55, 6, 59, 14, 67, 26, 79, 25, 78, 32, 85, 40, 93, 49, 102, 52, 105, 44, 97, 33, 86, 41, 94, 36, 89, 21, 74, 10, 63, 3, 56, 7, 60, 15, 68, 27, 80, 24, 77, 13, 66, 18, 71, 30, 83, 39, 92, 48, 101, 47, 100, 43, 96, 51, 104, 46, 99, 35, 88, 20, 73, 9, 62, 17, 70, 29, 82, 23, 76, 12, 65, 5, 58, 8, 61, 16, 69, 28, 81, 38, 91, 37, 90, 42, 95, 50, 103, 53, 106, 45, 98, 34, 87, 19, 72, 31, 84, 22, 75, 11, 64, 4, 57)(107, 160, 109, 162, 115, 168, 125, 178, 139, 192, 149, 202, 148, 201, 138, 191, 124, 177, 114, 167, 108, 161, 113, 166, 123, 176, 137, 190, 147, 200, 157, 210, 156, 209, 146, 199, 136, 189, 122, 175, 112, 165, 121, 174, 135, 188, 128, 181, 142, 195, 152, 205, 159, 212, 155, 208, 145, 198, 134, 187, 120, 173, 133, 186, 129, 182, 117, 170, 127, 180, 141, 194, 151, 204, 158, 211, 154, 207, 144, 197, 132, 185, 130, 183, 118, 171, 110, 163, 116, 169, 126, 179, 140, 193, 150, 203, 153, 206, 143, 196, 131, 184, 119, 172, 111, 164)
	L = (1, 110)(2, 107)(3, 116)(4, 117)(5, 118)(6, 108)(7, 109)(8, 111)(9, 126)(10, 127)(11, 128)(12, 129)(13, 130)(14, 112)(15, 113)(16, 114)(17, 115)(18, 119)(19, 140)(20, 141)(21, 142)(22, 137)(23, 135)(24, 133)(25, 132)(26, 120)(27, 121)(28, 122)(29, 123)(30, 124)(31, 125)(32, 131)(33, 150)(34, 151)(35, 152)(36, 147)(37, 144)(38, 134)(39, 136)(40, 138)(41, 139)(42, 143)(43, 153)(44, 158)(45, 159)(46, 157)(47, 154)(48, 145)(49, 146)(50, 148)(51, 149)(52, 155)(53, 156)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106 ) }
Outer automorphisms :: reflexible
Dual of E26.728
Graph:: bipartite
	v = 2 e = 106 f = 54
	degree seq :: [ 106^2 ]

E26.696 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y1)^2, Y1 * Y2^-1 * Y3 * Y2, (R * Y2)^2, (R * Y3)^2, Y2^2 * Y3^-1 * Y2^-2 * Y1^-1, Y1^-4 * Y2^-2 * Y1^-1, Y1^2 * Y3^-1 * Y2^2 * Y3^-2, Y2 * Y3^-1 * Y2 * Y3^-3 * Y1, Y2^-3 * Y1 * Y2^3 * Y3, Y2^-1 * Y3 * Y2^-10, Y2^-1 * Y3^-1 * Y2^-3 * Y1 * Y2^-1 * Y3^-2 * Y2^-4, Y1 * Y2^-1 * Y3^-1 * Y2^-3 * Y1 * Y3^-1 * Y2^-5, Y1^2 * Y2^-1 * Y3^-2 * Y2^-2 * Y3^-3 * Y2^-2 * Y3^-3 * Y2^-2 * Y3^-3 * Y2^-2 * Y3^-3 * Y2^-2 * Y3^-2 * Y2^-3, 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 * 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 * 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 * 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 * 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 * 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 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y3^-2 * Y1 ]
Map::
	R = (1, 54, 2, 55, 6, 59, 14, 67, 24, 77, 13, 66, 18, 71, 27, 80, 36, 89, 44, 97, 35, 88, 39, 92, 47, 100, 51, 104, 40, 93, 48, 101, 53, 106, 42, 95, 31, 84, 19, 72, 28, 81, 33, 86, 21, 74, 10, 63, 3, 56, 7, 60, 15, 68, 23, 76, 12, 65, 5, 58, 8, 61, 16, 69, 26, 79, 34, 87, 25, 78, 29, 82, 37, 90, 46, 99, 50, 103, 45, 98, 49, 102, 52, 105, 41, 94, 30, 83, 38, 91, 43, 96, 32, 85, 20, 73, 9, 62, 17, 70, 22, 75, 11, 64, 4, 57)(107, 160, 109, 162, 115, 168, 125, 178, 136, 189, 146, 199, 156, 209, 150, 203, 140, 193, 130, 183, 118, 171, 110, 163, 116, 169, 126, 179, 137, 190, 147, 200, 157, 210, 152, 205, 142, 195, 132, 185, 120, 173, 129, 182, 117, 170, 127, 180, 138, 191, 148, 201, 158, 211, 153, 206, 143, 196, 133, 186, 122, 175, 112, 165, 121, 174, 128, 181, 139, 192, 149, 202, 159, 212, 155, 208, 145, 198, 135, 188, 124, 177, 114, 167, 108, 161, 113, 166, 123, 176, 134, 187, 144, 197, 154, 207, 151, 204, 141, 194, 131, 184, 119, 172, 111, 164)
	L = (1, 110)(2, 107)(3, 116)(4, 117)(5, 118)(6, 108)(7, 109)(8, 111)(9, 126)(10, 127)(11, 128)(12, 129)(13, 130)(14, 112)(15, 113)(16, 114)(17, 115)(18, 119)(19, 137)(20, 138)(21, 139)(22, 123)(23, 121)(24, 120)(25, 140)(26, 122)(27, 124)(28, 125)(29, 131)(30, 147)(31, 148)(32, 149)(33, 134)(34, 132)(35, 150)(36, 133)(37, 135)(38, 136)(39, 141)(40, 157)(41, 158)(42, 159)(43, 144)(44, 142)(45, 156)(46, 143)(47, 145)(48, 146)(49, 151)(50, 152)(51, 153)(52, 155)(53, 154)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106 ) }
Outer automorphisms :: reflexible
Dual of E26.720
Graph:: bipartite
	v = 2 e = 106 f = 54
	degree seq :: [ 106^2 ]

E26.697 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y1^-1, Y2), (Y3^-1, Y2^-1), Y1^2 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-1, Y2^-2 * Y1^2 * Y3^-3, Y2^8 * Y3 * Y2^3, Y1 * Y2 * Y1 * Y2^3 * Y1 * Y2^5 * Y3^-1, Y2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * 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 ]
Map::
	R = (1, 54, 2, 55, 6, 59, 14, 67, 20, 73, 9, 62, 17, 70, 27, 80, 36, 89, 41, 94, 30, 83, 38, 91, 47, 100, 53, 106, 45, 98, 49, 102, 51, 104, 43, 96, 34, 87, 25, 78, 29, 82, 32, 85, 23, 76, 12, 65, 5, 58, 8, 61, 16, 69, 21, 74, 10, 63, 3, 56, 7, 60, 15, 68, 26, 79, 31, 84, 19, 72, 28, 81, 37, 90, 46, 99, 50, 103, 40, 93, 48, 101, 52, 105, 44, 97, 35, 88, 39, 92, 42, 95, 33, 86, 24, 77, 13, 66, 18, 71, 22, 75, 11, 64, 4, 57)(107, 160, 109, 162, 115, 168, 125, 178, 136, 189, 146, 199, 155, 208, 145, 198, 135, 188, 124, 177, 114, 167, 108, 161, 113, 166, 123, 176, 134, 187, 144, 197, 154, 207, 157, 210, 148, 201, 138, 191, 128, 181, 122, 175, 112, 165, 121, 174, 133, 186, 143, 196, 153, 206, 158, 211, 149, 202, 139, 192, 129, 182, 117, 170, 127, 180, 120, 173, 132, 185, 142, 195, 152, 205, 159, 212, 150, 203, 140, 193, 130, 183, 118, 171, 110, 163, 116, 169, 126, 179, 137, 190, 147, 200, 156, 209, 151, 204, 141, 194, 131, 184, 119, 172, 111, 164)
	L = (1, 110)(2, 107)(3, 116)(4, 117)(5, 118)(6, 108)(7, 109)(8, 111)(9, 126)(10, 127)(11, 128)(12, 129)(13, 130)(14, 112)(15, 113)(16, 114)(17, 115)(18, 119)(19, 137)(20, 120)(21, 122)(22, 124)(23, 138)(24, 139)(25, 140)(26, 121)(27, 123)(28, 125)(29, 131)(30, 147)(31, 132)(32, 135)(33, 148)(34, 149)(35, 150)(36, 133)(37, 134)(38, 136)(39, 141)(40, 156)(41, 142)(42, 145)(43, 157)(44, 158)(45, 159)(46, 143)(47, 144)(48, 146)(49, 151)(50, 152)(51, 155)(52, 154)(53, 153)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106 ) }
Outer automorphisms :: reflexible
Dual of E26.726
Graph:: bipartite
	v = 2 e = 106 f = 54
	degree seq :: [ 106^2 ]

E26.698 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), (Y3^-1, Y2^-1), (R * Y2)^2, Y3^3 * Y2 * Y3 * Y2^4, Y3^-1 * Y2^-1 * Y1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1, Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y3^-2 * Y2^-1, Y1^-2 * Y3 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y1^-2, Y1^-1 * Y2^-2 * Y1^-2 * Y2^-2 * Y1^-2 * Y2^-3, Y1^47 * Y3 * Y2^-1 * Y3^2 * Y2^-1, Y3^2 * 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 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 54, 2, 55, 6, 59, 14, 67, 26, 79, 42, 95, 49, 102, 39, 92, 24, 77, 13, 66, 18, 71, 30, 83, 34, 87, 19, 72, 31, 84, 45, 98, 52, 105, 51, 104, 41, 94, 36, 89, 21, 74, 10, 63, 3, 56, 7, 60, 15, 68, 27, 80, 43, 96, 48, 101, 38, 91, 23, 76, 12, 65, 5, 58, 8, 61, 16, 69, 28, 81, 33, 86, 46, 99, 53, 106, 50, 103, 40, 93, 25, 78, 32, 85, 35, 88, 20, 73, 9, 62, 17, 70, 29, 82, 44, 97, 47, 100, 37, 90, 22, 75, 11, 64, 4, 57)(107, 160, 109, 162, 115, 168, 125, 178, 139, 192, 132, 185, 149, 202, 153, 206, 157, 210, 146, 199, 130, 183, 118, 171, 110, 163, 116, 169, 126, 179, 140, 193, 134, 187, 120, 173, 133, 186, 150, 203, 158, 211, 156, 209, 145, 198, 129, 182, 117, 170, 127, 180, 141, 194, 136, 189, 122, 175, 112, 165, 121, 174, 135, 188, 151, 204, 159, 212, 155, 208, 144, 197, 128, 181, 142, 195, 138, 191, 124, 177, 114, 167, 108, 161, 113, 166, 123, 176, 137, 190, 152, 205, 148, 201, 154, 207, 143, 196, 147, 200, 131, 184, 119, 172, 111, 164)
	L = (1, 110)(2, 107)(3, 116)(4, 117)(5, 118)(6, 108)(7, 109)(8, 111)(9, 126)(10, 127)(11, 128)(12, 129)(13, 130)(14, 112)(15, 113)(16, 114)(17, 115)(18, 119)(19, 140)(20, 141)(21, 142)(22, 143)(23, 144)(24, 145)(25, 146)(26, 120)(27, 121)(28, 122)(29, 123)(30, 124)(31, 125)(32, 131)(33, 134)(34, 136)(35, 138)(36, 147)(37, 153)(38, 154)(39, 155)(40, 156)(41, 157)(42, 132)(43, 133)(44, 135)(45, 137)(46, 139)(47, 150)(48, 149)(49, 148)(50, 159)(51, 158)(52, 151)(53, 152)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106 ) }
Outer automorphisms :: reflexible
Dual of E26.727
Graph:: bipartite
	v = 2 e = 106 f = 54
	degree seq :: [ 106^2 ]

E26.699 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1 * Y2 * Y3 * Y2^-1, Y2^4 * Y1 * Y2 * Y3^-3, Y2 * Y3^-2 * Y2^2 * Y3^-1 * Y2^2 * Y3^-1, Y1^6 * Y3^-2 * Y2^-1 * Y1 * Y2^-1, Y1^3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-5, Y2^3 * Y1^-2 * Y2^4 * Y1^-3, Y2 * Y3^-2 * Y2 * 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, Y2^3 * 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 * Y3^3 * Y1^-1 * Y3^3 * Y1^-1 * Y3^3, (Y2^-1 * Y1^-1)^53 ]
Map::
	R = (1, 54, 2, 55, 6, 59, 14, 67, 26, 79, 42, 95, 49, 102, 35, 88, 20, 73, 9, 62, 17, 70, 29, 82, 40, 93, 25, 78, 32, 85, 45, 98, 52, 105, 47, 100, 33, 86, 38, 91, 23, 76, 12, 65, 5, 58, 8, 61, 16, 69, 28, 81, 43, 96, 50, 103, 36, 89, 21, 74, 10, 63, 3, 56, 7, 60, 15, 68, 27, 80, 41, 94, 46, 99, 53, 106, 48, 101, 34, 87, 19, 72, 31, 84, 39, 92, 24, 77, 13, 66, 18, 71, 30, 83, 44, 97, 51, 104, 37, 90, 22, 75, 11, 64, 4, 57)(107, 160, 109, 162, 115, 168, 125, 178, 139, 192, 143, 196, 156, 209, 148, 201, 152, 205, 138, 191, 124, 177, 114, 167, 108, 161, 113, 166, 123, 176, 137, 190, 144, 197, 128, 181, 142, 195, 155, 208, 159, 212, 151, 204, 136, 189, 122, 175, 112, 165, 121, 174, 135, 188, 145, 198, 129, 182, 117, 170, 127, 180, 141, 194, 154, 207, 158, 211, 150, 203, 134, 187, 120, 173, 133, 186, 146, 199, 130, 183, 118, 171, 110, 163, 116, 169, 126, 179, 140, 193, 153, 206, 157, 210, 149, 202, 132, 185, 147, 200, 131, 184, 119, 172, 111, 164)
	L = (1, 110)(2, 107)(3, 116)(4, 117)(5, 118)(6, 108)(7, 109)(8, 111)(9, 126)(10, 127)(11, 128)(12, 129)(13, 130)(14, 112)(15, 113)(16, 114)(17, 115)(18, 119)(19, 140)(20, 141)(21, 142)(22, 143)(23, 144)(24, 145)(25, 146)(26, 120)(27, 121)(28, 122)(29, 123)(30, 124)(31, 125)(32, 131)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 139)(39, 137)(40, 135)(41, 133)(42, 132)(43, 134)(44, 136)(45, 138)(46, 147)(47, 158)(48, 159)(49, 148)(50, 149)(51, 150)(52, 151)(53, 152)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106 ) }
Outer automorphisms :: reflexible
Dual of E26.708
Graph:: bipartite
	v = 2 e = 106 f = 54
	degree seq :: [ 106^2 ]

E26.700 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y1)^2, (Y2^-1, Y1), (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, Y1^2 * Y2 * Y1 * Y2^2 * Y1, Y1^2 * Y2^3 * Y3^2 * Y2^-3, Y2^4 * Y3 * Y2 * 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 ]
Map::
	R = (1, 54, 2, 55, 6, 59, 14, 67, 25, 78, 28, 81, 35, 88, 42, 95, 49, 102, 52, 105, 46, 99, 37, 90, 40, 93, 31, 84, 20, 73, 9, 62, 17, 70, 23, 76, 12, 65, 5, 58, 8, 61, 16, 69, 26, 79, 33, 86, 36, 89, 43, 96, 50, 103, 53, 106, 47, 100, 38, 91, 29, 82, 32, 85, 21, 74, 10, 63, 3, 56, 7, 60, 15, 68, 24, 77, 13, 66, 18, 71, 27, 80, 34, 87, 41, 94, 44, 97, 51, 104, 45, 98, 48, 101, 39, 92, 30, 83, 19, 72, 22, 75, 11, 64, 4, 57)(107, 160, 109, 162, 115, 168, 125, 178, 135, 188, 143, 196, 151, 204, 156, 209, 148, 201, 140, 193, 132, 185, 120, 173, 130, 183, 118, 171, 110, 163, 116, 169, 126, 179, 136, 189, 144, 197, 152, 205, 157, 210, 149, 202, 141, 194, 133, 186, 122, 175, 112, 165, 121, 174, 129, 182, 117, 170, 127, 180, 137, 190, 145, 198, 153, 206, 158, 211, 150, 203, 142, 195, 134, 187, 124, 177, 114, 167, 108, 161, 113, 166, 123, 176, 128, 181, 138, 191, 146, 199, 154, 207, 159, 212, 155, 208, 147, 200, 139, 192, 131, 184, 119, 172, 111, 164)
	L = (1, 110)(2, 107)(3, 116)(4, 117)(5, 118)(6, 108)(7, 109)(8, 111)(9, 126)(10, 127)(11, 128)(12, 129)(13, 130)(14, 112)(15, 113)(16, 114)(17, 115)(18, 119)(19, 136)(20, 137)(21, 138)(22, 125)(23, 123)(24, 121)(25, 120)(26, 122)(27, 124)(28, 131)(29, 144)(30, 145)(31, 146)(32, 135)(33, 132)(34, 133)(35, 134)(36, 139)(37, 152)(38, 153)(39, 154)(40, 143)(41, 140)(42, 141)(43, 142)(44, 147)(45, 157)(46, 158)(47, 159)(48, 151)(49, 148)(50, 149)(51, 150)(52, 155)(53, 156)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106 ) }
Outer automorphisms :: reflexible
Dual of E26.707
Graph:: bipartite
	v = 2 e = 106 f = 54
	degree seq :: [ 106^2 ]

E26.701 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (Y1, Y2^-1), Y3^-1 * Y2^-1 * Y1^-1 * Y2, (R * Y2)^2, (Y2, Y1^-1), (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2^-1), Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-2 * Y2^-1, Y3 * Y2^-3 * Y3^-2 * Y2^3 * Y1^-1, Y3^4 * Y1^-2 * Y2^4 * Y1 * Y2^-1 * Y1, Y3^2 * Y2^-1 * Y3 * Y2^-10, Y2^5 * 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 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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, 54, 2, 55, 6, 59, 14, 67, 19, 72, 28, 81, 35, 88, 42, 95, 45, 98, 52, 105, 48, 101, 41, 94, 38, 91, 31, 84, 24, 77, 13, 66, 18, 71, 21, 74, 10, 63, 3, 56, 7, 60, 15, 68, 26, 79, 29, 82, 36, 89, 43, 96, 50, 103, 53, 106, 47, 100, 40, 93, 33, 86, 30, 83, 23, 76, 12, 65, 5, 58, 8, 61, 16, 69, 20, 73, 9, 62, 17, 70, 27, 80, 34, 87, 37, 90, 44, 97, 51, 104, 49, 102, 46, 99, 39, 92, 32, 85, 25, 78, 22, 75, 11, 64, 4, 57)(107, 160, 109, 162, 115, 168, 125, 178, 135, 188, 143, 196, 151, 204, 159, 212, 152, 205, 144, 197, 136, 189, 128, 181, 124, 177, 114, 167, 108, 161, 113, 166, 123, 176, 134, 187, 142, 195, 150, 203, 158, 211, 153, 206, 145, 198, 137, 190, 129, 182, 117, 170, 127, 180, 122, 175, 112, 165, 121, 174, 133, 186, 141, 194, 149, 202, 157, 210, 154, 207, 146, 199, 138, 191, 130, 183, 118, 171, 110, 163, 116, 169, 126, 179, 120, 173, 132, 185, 140, 193, 148, 201, 156, 209, 155, 208, 147, 200, 139, 192, 131, 184, 119, 172, 111, 164)
	L = (1, 110)(2, 107)(3, 116)(4, 117)(5, 118)(6, 108)(7, 109)(8, 111)(9, 126)(10, 127)(11, 128)(12, 129)(13, 130)(14, 112)(15, 113)(16, 114)(17, 115)(18, 119)(19, 120)(20, 122)(21, 124)(22, 131)(23, 136)(24, 137)(25, 138)(26, 121)(27, 123)(28, 125)(29, 132)(30, 139)(31, 144)(32, 145)(33, 146)(34, 133)(35, 134)(36, 135)(37, 140)(38, 147)(39, 152)(40, 153)(41, 154)(42, 141)(43, 142)(44, 143)(45, 148)(46, 155)(47, 159)(48, 158)(49, 157)(50, 149)(51, 150)(52, 151)(53, 156)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106 ) }
Outer automorphisms :: reflexible
Dual of E26.711
Graph:: bipartite
	v = 2 e = 106 f = 54
	degree seq :: [ 106^2 ]

E26.702 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^-1 * Y1^2 * Y3^-1 * Y2^-1, Y2 * Y3 * Y2 * Y3^2, Y2^-1 * Y3 * Y2^-16, Y1^53, 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 ]
Map::
	R = (1, 54, 2, 55, 6, 59, 9, 62, 15, 68, 20, 73, 22, 75, 27, 80, 32, 85, 34, 87, 39, 92, 44, 97, 46, 99, 51, 104, 53, 106, 48, 101, 43, 96, 41, 94, 36, 89, 31, 84, 29, 82, 24, 77, 19, 72, 17, 70, 12, 65, 5, 58, 8, 61, 10, 63, 3, 56, 7, 60, 14, 67, 16, 69, 21, 74, 26, 79, 28, 81, 33, 86, 38, 91, 40, 93, 45, 98, 50, 103, 52, 105, 49, 102, 47, 100, 42, 95, 37, 90, 35, 88, 30, 83, 25, 78, 23, 76, 18, 71, 13, 66, 11, 64, 4, 57)(107, 160, 109, 162, 115, 168, 122, 175, 128, 181, 134, 187, 140, 193, 146, 199, 152, 205, 158, 211, 154, 207, 148, 201, 142, 195, 136, 189, 130, 183, 124, 177, 118, 171, 110, 163, 116, 169, 112, 165, 120, 173, 126, 179, 132, 185, 138, 191, 144, 197, 150, 203, 156, 209, 159, 212, 153, 206, 147, 200, 141, 194, 135, 188, 129, 182, 123, 176, 117, 170, 114, 167, 108, 161, 113, 166, 121, 174, 127, 180, 133, 186, 139, 192, 145, 198, 151, 204, 157, 210, 155, 208, 149, 202, 143, 196, 137, 190, 131, 184, 125, 178, 119, 172, 111, 164)
	L = (1, 110)(2, 107)(3, 116)(4, 117)(5, 118)(6, 108)(7, 109)(8, 111)(9, 112)(10, 114)(11, 119)(12, 123)(13, 124)(14, 113)(15, 115)(16, 120)(17, 125)(18, 129)(19, 130)(20, 121)(21, 122)(22, 126)(23, 131)(24, 135)(25, 136)(26, 127)(27, 128)(28, 132)(29, 137)(30, 141)(31, 142)(32, 133)(33, 134)(34, 138)(35, 143)(36, 147)(37, 148)(38, 139)(39, 140)(40, 144)(41, 149)(42, 153)(43, 154)(44, 145)(45, 146)(46, 150)(47, 155)(48, 159)(49, 158)(50, 151)(51, 152)(52, 156)(53, 157)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106 ) }
Outer automorphisms :: reflexible
Dual of E26.714
Graph:: bipartite
	v = 2 e = 106 f = 54
	degree seq :: [ 106^2 ]

E26.703 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (Y2, Y1^-1), (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^2, Y2^15 * Y1^-1 * Y2^2, Y3^-2 * Y2^-7 * Y1 * Y3^-1 * 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 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 54, 2, 55, 6, 59, 13, 66, 15, 68, 20, 73, 25, 78, 27, 80, 32, 85, 37, 90, 39, 92, 44, 97, 49, 102, 51, 104, 53, 106, 47, 100, 40, 93, 42, 95, 35, 88, 28, 81, 30, 83, 23, 76, 16, 69, 18, 71, 10, 63, 3, 56, 7, 60, 12, 65, 5, 58, 8, 61, 14, 67, 19, 72, 21, 74, 26, 79, 31, 84, 33, 86, 38, 91, 43, 96, 45, 98, 50, 103, 52, 105, 46, 99, 48, 101, 41, 94, 34, 87, 36, 89, 29, 82, 22, 75, 24, 77, 17, 70, 9, 62, 11, 64, 4, 57)(107, 160, 109, 162, 115, 168, 122, 175, 128, 181, 134, 187, 140, 193, 146, 199, 152, 205, 157, 210, 151, 204, 145, 198, 139, 192, 133, 186, 127, 180, 121, 174, 114, 167, 108, 161, 113, 166, 117, 170, 124, 177, 130, 183, 136, 189, 142, 195, 148, 201, 154, 207, 159, 212, 156, 209, 150, 203, 144, 197, 138, 191, 132, 185, 126, 179, 120, 173, 112, 165, 118, 171, 110, 163, 116, 169, 123, 176, 129, 182, 135, 188, 141, 194, 147, 200, 153, 206, 158, 211, 155, 208, 149, 202, 143, 196, 137, 190, 131, 184, 125, 178, 119, 172, 111, 164)
	L = (1, 110)(2, 107)(3, 116)(4, 117)(5, 118)(6, 108)(7, 109)(8, 111)(9, 123)(10, 124)(11, 115)(12, 113)(13, 112)(14, 114)(15, 119)(16, 129)(17, 130)(18, 122)(19, 120)(20, 121)(21, 125)(22, 135)(23, 136)(24, 128)(25, 126)(26, 127)(27, 131)(28, 141)(29, 142)(30, 134)(31, 132)(32, 133)(33, 137)(34, 147)(35, 148)(36, 140)(37, 138)(38, 139)(39, 143)(40, 153)(41, 154)(42, 146)(43, 144)(44, 145)(45, 149)(46, 158)(47, 159)(48, 152)(49, 150)(50, 151)(51, 155)(52, 156)(53, 157)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106 ) }
Outer automorphisms :: reflexible
Dual of E26.706
Graph:: bipartite
	v = 2 e = 106 f = 54
	degree seq :: [ 106^2 ]

E26.704 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y1^-1), (Y3^-1, Y2^-1), Y1 * Y2^-2 * Y1 * Y3 * Y2 * Y3 * Y2, Y1^3 * Y2 * Y1 * Y2 * Y1 * Y3^-2, Y2 * Y1 * Y2 * Y1^2 * Y3^-4, Y2^2 * Y3 * Y2 * Y3 * Y2^4, Y2^2 * Y3^-1 * Y2 * Y3^-9 * Y1^-2 * Y2^-1 * Y1^-1, Y3 * Y2^-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 * Y1^-1 * Y2 * 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 ]
Map::
	R = (1, 54, 2, 55, 6, 59, 14, 67, 26, 79, 39, 92, 24, 77, 13, 66, 18, 71, 30, 83, 43, 96, 50, 103, 53, 106, 49, 102, 41, 94, 34, 87, 19, 72, 31, 84, 44, 97, 47, 100, 36, 89, 21, 74, 10, 63, 3, 56, 7, 60, 15, 68, 27, 80, 38, 91, 23, 76, 12, 65, 5, 58, 8, 61, 16, 69, 28, 81, 42, 95, 48, 101, 40, 93, 25, 78, 32, 85, 33, 86, 45, 98, 51, 104, 52, 105, 46, 99, 35, 88, 20, 73, 9, 62, 17, 70, 29, 82, 37, 90, 22, 75, 11, 64, 4, 57)(107, 160, 109, 162, 115, 168, 125, 178, 139, 192, 136, 189, 122, 175, 112, 165, 121, 174, 135, 188, 150, 203, 157, 210, 156, 209, 148, 201, 132, 185, 144, 197, 128, 181, 142, 195, 152, 205, 155, 208, 146, 199, 130, 183, 118, 171, 110, 163, 116, 169, 126, 179, 140, 193, 138, 191, 124, 177, 114, 167, 108, 161, 113, 166, 123, 176, 137, 190, 151, 204, 149, 202, 134, 187, 120, 173, 133, 186, 143, 196, 153, 206, 158, 211, 159, 212, 154, 207, 145, 198, 129, 182, 117, 170, 127, 180, 141, 194, 147, 200, 131, 184, 119, 172, 111, 164)
	L = (1, 110)(2, 107)(3, 116)(4, 117)(5, 118)(6, 108)(7, 109)(8, 111)(9, 126)(10, 127)(11, 128)(12, 129)(13, 130)(14, 112)(15, 113)(16, 114)(17, 115)(18, 119)(19, 140)(20, 141)(21, 142)(22, 143)(23, 144)(24, 145)(25, 146)(26, 120)(27, 121)(28, 122)(29, 123)(30, 124)(31, 125)(32, 131)(33, 138)(34, 147)(35, 152)(36, 153)(37, 135)(38, 133)(39, 132)(40, 154)(41, 155)(42, 134)(43, 136)(44, 137)(45, 139)(46, 158)(47, 150)(48, 148)(49, 159)(50, 149)(51, 151)(52, 157)(53, 156)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106 ) }
Outer automorphisms :: reflexible
Dual of E26.715
Graph:: bipartite
	v = 2 e = 106 f = 54
	degree seq :: [ 106^2 ]

E26.705 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2 * Y3, (R * Y1)^2, (R * Y3)^2, Y2^53, (Y3 * Y2^-1)^53, (Y3^-1 * Y1^-1)^53 ]
Map::
	R = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)(107, 160, 108, 161, 110, 163, 112, 165, 114, 167, 116, 169, 118, 171, 120, 173, 128, 181, 126, 179, 124, 177, 122, 175, 123, 176, 125, 178, 127, 180, 129, 182, 130, 183, 131, 184, 132, 185, 140, 193, 138, 191, 136, 189, 134, 187, 135, 188, 137, 190, 139, 192, 141, 194, 142, 195, 143, 196, 144, 197, 152, 205, 150, 203, 148, 201, 147, 200, 146, 199, 149, 202, 151, 204, 153, 206, 154, 207, 155, 208, 156, 209, 159, 212, 158, 211, 157, 210, 145, 198, 133, 186, 121, 174, 119, 172, 117, 170, 115, 168, 113, 166, 111, 164, 109, 162)
	L = (1, 109)(2, 107)(3, 111)(4, 108)(5, 113)(6, 110)(7, 115)(8, 112)(9, 117)(10, 114)(11, 119)(12, 116)(13, 121)(14, 118)(15, 133)(16, 124)(17, 122)(18, 126)(19, 123)(20, 128)(21, 125)(22, 120)(23, 127)(24, 129)(25, 130)(26, 131)(27, 145)(28, 136)(29, 134)(30, 138)(31, 135)(32, 140)(33, 137)(34, 132)(35, 139)(36, 141)(37, 142)(38, 143)(39, 157)(40, 147)(41, 148)(42, 150)(43, 146)(44, 152)(45, 149)(46, 144)(47, 151)(48, 153)(49, 154)(50, 155)(51, 158)(52, 159)(53, 156)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 106, 106 ), ( 106^106 ) }
Outer automorphisms :: reflexible
Dual of E26.680
Graph:: bipartite
	v = 54 e = 106 f = 2
	degree seq :: [ 2^53, 106 ]

E26.706 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3 * Y2^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2 * Y3^-26, (Y3 * Y2^-1)^53, (Y3^-1 * Y1^-1)^53 ]
Map::
	R = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)(107, 160, 108, 161, 111, 164, 112, 165, 115, 168, 116, 169, 119, 172, 120, 173, 123, 176, 124, 177, 127, 180, 128, 181, 131, 184, 132, 185, 135, 188, 136, 189, 139, 192, 140, 193, 143, 196, 144, 197, 147, 200, 148, 201, 151, 204, 152, 205, 155, 208, 156, 209, 159, 212, 157, 210, 158, 211, 153, 206, 154, 207, 149, 202, 150, 203, 145, 198, 146, 199, 141, 194, 142, 195, 137, 190, 138, 191, 133, 186, 134, 187, 129, 182, 130, 183, 125, 178, 126, 179, 121, 174, 122, 175, 117, 170, 118, 171, 113, 166, 114, 167, 109, 162, 110, 163)
	L = (1, 109)(2, 110)(3, 113)(4, 114)(5, 107)(6, 108)(7, 117)(8, 118)(9, 111)(10, 112)(11, 121)(12, 122)(13, 115)(14, 116)(15, 125)(16, 126)(17, 119)(18, 120)(19, 129)(20, 130)(21, 123)(22, 124)(23, 133)(24, 134)(25, 127)(26, 128)(27, 137)(28, 138)(29, 131)(30, 132)(31, 141)(32, 142)(33, 135)(34, 136)(35, 145)(36, 146)(37, 139)(38, 140)(39, 149)(40, 150)(41, 143)(42, 144)(43, 153)(44, 154)(45, 147)(46, 148)(47, 157)(48, 158)(49, 151)(50, 152)(51, 156)(52, 159)(53, 155)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 106, 106 ), ( 106^106 ) }
Outer automorphisms :: reflexible
Dual of E26.703
Graph:: bipartite
	v = 54 e = 106 f = 2
	degree seq :: [ 2^53, 106 ]

E26.707 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3 * Y3, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^-7 * Y2^2 * Y3^-10, 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^-1 * Y1^-1)^53 ]
Map::
	R = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)(107, 160, 108, 161, 112, 165, 111, 164, 114, 167, 118, 171, 117, 170, 120, 173, 124, 177, 123, 176, 126, 179, 130, 183, 129, 182, 132, 185, 136, 189, 135, 188, 138, 191, 142, 195, 141, 194, 144, 197, 148, 201, 147, 200, 150, 203, 154, 207, 153, 206, 156, 209, 157, 210, 159, 212, 158, 211, 151, 204, 155, 208, 152, 205, 145, 198, 149, 202, 146, 199, 139, 192, 143, 196, 140, 193, 133, 186, 137, 190, 134, 187, 127, 180, 131, 184, 128, 181, 121, 174, 125, 178, 122, 175, 115, 168, 119, 172, 116, 169, 109, 162, 113, 166, 110, 163)
	L = (1, 109)(2, 113)(3, 115)(4, 116)(5, 107)(6, 110)(7, 119)(8, 108)(9, 121)(10, 122)(11, 111)(12, 112)(13, 125)(14, 114)(15, 127)(16, 128)(17, 117)(18, 118)(19, 131)(20, 120)(21, 133)(22, 134)(23, 123)(24, 124)(25, 137)(26, 126)(27, 139)(28, 140)(29, 129)(30, 130)(31, 143)(32, 132)(33, 145)(34, 146)(35, 135)(36, 136)(37, 149)(38, 138)(39, 151)(40, 152)(41, 141)(42, 142)(43, 155)(44, 144)(45, 157)(46, 158)(47, 147)(48, 148)(49, 159)(50, 150)(51, 154)(52, 156)(53, 153)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 106, 106 ), ( 106^106 ) }
Outer automorphisms :: reflexible
Dual of E26.700
Graph:: bipartite
	v = 54 e = 106 f = 2
	degree seq :: [ 2^53, 106 ]

E26.708 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|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^-12, (Y2^-1 * Y3)^53, (Y3^-1 * Y1^-1)^53 ]
Map::
	R = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)(107, 160, 108, 161, 112, 165, 118, 171, 111, 164, 114, 167, 120, 173, 126, 179, 119, 172, 122, 175, 128, 181, 134, 187, 127, 180, 130, 183, 136, 189, 142, 195, 135, 188, 138, 191, 144, 197, 150, 203, 143, 196, 146, 199, 152, 205, 157, 210, 151, 204, 154, 207, 158, 211, 159, 212, 155, 208, 147, 200, 153, 206, 156, 209, 148, 201, 139, 192, 145, 198, 149, 202, 140, 193, 131, 184, 137, 190, 141, 194, 132, 185, 123, 176, 129, 182, 133, 186, 124, 177, 115, 168, 121, 174, 125, 178, 116, 169, 109, 162, 113, 166, 117, 170, 110, 163)
	L = (1, 109)(2, 113)(3, 115)(4, 116)(5, 107)(6, 117)(7, 121)(8, 108)(9, 123)(10, 124)(11, 125)(12, 110)(13, 111)(14, 112)(15, 129)(16, 114)(17, 131)(18, 132)(19, 133)(20, 118)(21, 119)(22, 120)(23, 137)(24, 122)(25, 139)(26, 140)(27, 141)(28, 126)(29, 127)(30, 128)(31, 145)(32, 130)(33, 147)(34, 148)(35, 149)(36, 134)(37, 135)(38, 136)(39, 153)(40, 138)(41, 154)(42, 155)(43, 156)(44, 142)(45, 143)(46, 144)(47, 158)(48, 146)(49, 151)(50, 159)(51, 150)(52, 152)(53, 157)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 106, 106 ), ( 106^106 ) }
Outer automorphisms :: reflexible
Dual of E26.699
Graph:: bipartite
	v = 54 e = 106 f = 2
	degree seq :: [ 2^53, 106 ]

E26.709 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (Y2^-1, Y3^-1), (R * Y3)^2, (R * Y2)^2, Y3 * Y2^2 * Y3^-1 * Y2^-2, Y2^3 * Y3 * Y2^2, Y2^-1 * Y3^-2 * Y2^-1 * Y3^-9, (Y2^-1 * Y3)^53, (Y3^-1 * Y1^-1)^53 ]
Map::
	R = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)(107, 160, 108, 161, 112, 165, 120, 173, 118, 171, 111, 164, 114, 167, 122, 175, 130, 183, 128, 181, 119, 172, 124, 177, 132, 185, 140, 193, 138, 191, 129, 182, 134, 187, 142, 195, 150, 203, 148, 201, 139, 192, 144, 197, 152, 205, 155, 208, 158, 211, 149, 202, 154, 207, 156, 209, 145, 198, 153, 206, 159, 212, 157, 210, 146, 199, 135, 188, 143, 196, 151, 204, 147, 200, 136, 189, 125, 178, 133, 186, 141, 194, 137, 190, 126, 179, 115, 168, 123, 176, 131, 184, 127, 180, 116, 169, 109, 162, 113, 166, 121, 174, 117, 170, 110, 163)
	L = (1, 109)(2, 113)(3, 115)(4, 116)(5, 107)(6, 121)(7, 123)(8, 108)(9, 125)(10, 126)(11, 127)(12, 110)(13, 111)(14, 117)(15, 131)(16, 112)(17, 133)(18, 114)(19, 135)(20, 136)(21, 137)(22, 118)(23, 119)(24, 120)(25, 141)(26, 122)(27, 143)(28, 124)(29, 145)(30, 146)(31, 147)(32, 128)(33, 129)(34, 130)(35, 151)(36, 132)(37, 153)(38, 134)(39, 155)(40, 156)(41, 157)(42, 138)(43, 139)(44, 140)(45, 159)(46, 142)(47, 158)(48, 144)(49, 150)(50, 152)(51, 154)(52, 148)(53, 149)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 106, 106 ), ( 106^106 ) }
Outer automorphisms :: reflexible
Dual of E26.693
Graph:: bipartite
	v = 54 e = 106 f = 2
	degree seq :: [ 2^53, 106 ]

E26.710 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2, Y3^-1), Y2^3 * Y3 * Y2^3, Y3^-7 * Y2^-1 * Y3^-2, Y2 * Y3^-1 * Y2 * Y3^-2 * Y2^2 * Y3^2 * Y2 * Y3^2 * 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 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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 * Y2 * Y3^2 * Y2, (Y3^-1 * Y1^-1)^53 ]
Map::
	R = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)(107, 160, 108, 161, 112, 165, 120, 173, 129, 182, 118, 171, 111, 164, 114, 167, 122, 175, 132, 185, 141, 194, 130, 183, 119, 172, 124, 177, 134, 187, 144, 197, 153, 206, 142, 195, 131, 184, 136, 189, 146, 199, 154, 207, 157, 210, 149, 202, 143, 196, 148, 201, 156, 209, 158, 211, 150, 203, 137, 190, 147, 200, 155, 208, 159, 212, 151, 204, 138, 191, 125, 178, 135, 188, 145, 198, 152, 205, 139, 192, 126, 179, 115, 168, 123, 176, 133, 186, 140, 193, 127, 180, 116, 169, 109, 162, 113, 166, 121, 174, 128, 181, 117, 170, 110, 163)
	L = (1, 109)(2, 113)(3, 115)(4, 116)(5, 107)(6, 121)(7, 123)(8, 108)(9, 125)(10, 126)(11, 127)(12, 110)(13, 111)(14, 128)(15, 133)(16, 112)(17, 135)(18, 114)(19, 137)(20, 138)(21, 139)(22, 140)(23, 117)(24, 118)(25, 119)(26, 120)(27, 145)(28, 122)(29, 147)(30, 124)(31, 149)(32, 150)(33, 151)(34, 152)(35, 129)(36, 130)(37, 131)(38, 132)(39, 155)(40, 134)(41, 143)(42, 136)(43, 142)(44, 157)(45, 158)(46, 159)(47, 141)(48, 144)(49, 148)(50, 146)(51, 153)(52, 154)(53, 156)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 106, 106 ), ( 106^106 ) }
Outer automorphisms :: reflexible
Dual of E26.694
Graph:: bipartite
	v = 54 e = 106 f = 2
	degree seq :: [ 2^53, 106 ]

E26.711 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2, Y3^-1), Y2 * Y3^2 * Y2^-2 * Y3^-2 * Y2, Y2^5 * Y3 * Y2^2, Y2^2 * Y3^-1 * Y2 * Y3^-6 * 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^-1 * Y1^-1)^53 ]
Map::
	R = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)(107, 160, 108, 161, 112, 165, 120, 173, 132, 185, 129, 182, 118, 171, 111, 164, 114, 167, 122, 175, 134, 187, 146, 199, 143, 196, 130, 183, 119, 172, 124, 177, 136, 189, 148, 201, 153, 206, 157, 210, 144, 197, 131, 184, 138, 191, 150, 203, 154, 207, 139, 192, 151, 204, 158, 211, 145, 198, 152, 205, 155, 208, 140, 193, 125, 178, 137, 190, 149, 202, 159, 212, 156, 209, 141, 194, 126, 179, 115, 168, 123, 176, 135, 188, 147, 200, 142, 195, 127, 180, 116, 169, 109, 162, 113, 166, 121, 174, 133, 186, 128, 181, 117, 170, 110, 163)
	L = (1, 109)(2, 113)(3, 115)(4, 116)(5, 107)(6, 121)(7, 123)(8, 108)(9, 125)(10, 126)(11, 127)(12, 110)(13, 111)(14, 133)(15, 135)(16, 112)(17, 137)(18, 114)(19, 139)(20, 140)(21, 141)(22, 142)(23, 117)(24, 118)(25, 119)(26, 128)(27, 147)(28, 120)(29, 149)(30, 122)(31, 151)(32, 124)(33, 153)(34, 154)(35, 155)(36, 156)(37, 129)(38, 130)(39, 131)(40, 132)(41, 159)(42, 134)(43, 158)(44, 136)(45, 157)(46, 138)(47, 146)(48, 148)(49, 150)(50, 152)(51, 143)(52, 144)(53, 145)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 106, 106 ), ( 106^106 ) }
Outer automorphisms :: reflexible
Dual of E26.701
Graph:: bipartite
	v = 54 e = 106 f = 2
	degree seq :: [ 2^53, 106 ]

E26.712 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^4 * Y3 * Y2^4, Y2 * Y3^3 * Y2^-2 * Y3^-3 * Y2, Y2^-1 * Y3^-2 * Y2^-2 * Y3^-5, Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^2 * Y3^-3 * Y2 * Y3^-1, Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-1, (Y3^-1 * Y1^-1)^53 ]
Map::
	R = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)(107, 160, 108, 161, 112, 165, 120, 173, 132, 185, 144, 197, 129, 182, 118, 171, 111, 164, 114, 167, 122, 175, 134, 187, 148, 201, 155, 208, 145, 198, 130, 183, 119, 172, 124, 177, 136, 189, 150, 203, 156, 209, 139, 192, 153, 206, 146, 199, 131, 184, 138, 191, 152, 205, 157, 210, 140, 193, 125, 178, 137, 190, 151, 204, 147, 200, 154, 207, 158, 211, 141, 194, 126, 179, 115, 168, 123, 176, 135, 188, 149, 202, 159, 212, 142, 195, 127, 180, 116, 169, 109, 162, 113, 166, 121, 174, 133, 186, 143, 196, 128, 181, 117, 170, 110, 163)
	L = (1, 109)(2, 113)(3, 115)(4, 116)(5, 107)(6, 121)(7, 123)(8, 108)(9, 125)(10, 126)(11, 127)(12, 110)(13, 111)(14, 133)(15, 135)(16, 112)(17, 137)(18, 114)(19, 139)(20, 140)(21, 141)(22, 142)(23, 117)(24, 118)(25, 119)(26, 143)(27, 149)(28, 120)(29, 151)(30, 122)(31, 153)(32, 124)(33, 155)(34, 156)(35, 157)(36, 158)(37, 159)(38, 128)(39, 129)(40, 130)(41, 131)(42, 132)(43, 147)(44, 134)(45, 146)(46, 136)(47, 145)(48, 138)(49, 144)(50, 148)(51, 150)(52, 152)(53, 154)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 106, 106 ), ( 106^106 ) }
Outer automorphisms :: reflexible
Dual of E26.687
Graph:: bipartite
	v = 54 e = 106 f = 2
	degree seq :: [ 2^53, 106 ]

E26.713 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2, Y3^-1), Y3^-4 * Y2^-1 * Y3^-2, Y2^-2 * Y3^-1 * Y2^-7, Y2^3 * Y3^-1 * Y2 * Y3^-1 * Y2^3 * 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^-1 * Y1^-1)^53 ]
Map::
	R = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)(107, 160, 108, 161, 112, 165, 120, 173, 132, 185, 144, 197, 142, 195, 129, 182, 118, 171, 111, 164, 114, 167, 122, 175, 134, 187, 146, 199, 154, 207, 153, 206, 143, 196, 130, 183, 119, 172, 124, 177, 136, 189, 148, 201, 156, 209, 158, 211, 150, 203, 138, 191, 125, 178, 131, 184, 137, 190, 149, 202, 157, 210, 159, 212, 151, 204, 139, 192, 126, 179, 115, 168, 123, 176, 135, 188, 147, 200, 155, 208, 152, 205, 140, 193, 127, 180, 116, 169, 109, 162, 113, 166, 121, 174, 133, 186, 145, 198, 141, 194, 128, 181, 117, 170, 110, 163)
	L = (1, 109)(2, 113)(3, 115)(4, 116)(5, 107)(6, 121)(7, 123)(8, 108)(9, 125)(10, 126)(11, 127)(12, 110)(13, 111)(14, 133)(15, 135)(16, 112)(17, 131)(18, 114)(19, 130)(20, 138)(21, 139)(22, 140)(23, 117)(24, 118)(25, 119)(26, 145)(27, 147)(28, 120)(29, 137)(30, 122)(31, 124)(32, 143)(33, 150)(34, 151)(35, 152)(36, 128)(37, 129)(38, 141)(39, 155)(40, 132)(41, 149)(42, 134)(43, 136)(44, 153)(45, 158)(46, 159)(47, 142)(48, 144)(49, 157)(50, 146)(51, 148)(52, 154)(53, 156)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 106, 106 ), ( 106^106 ) }
Outer automorphisms :: reflexible
Dual of E26.690
Graph:: bipartite
	v = 54 e = 106 f = 2
	degree seq :: [ 2^53, 106 ]

E26.714 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2), Y3^3 * Y2^-1 * Y3 * Y2^-2 * Y3, Y2^4 * Y3 * Y2^6, 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^-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^-3 * Y2 * Y3^-3 * Y2 * Y3^-3 * Y2 * Y3^-3 * Y2 * Y3^-3 * Y2 * Y3^-2, (Y3^-1 * Y1^-1)^53 ]
Map::
	R = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)(107, 160, 108, 161, 112, 165, 120, 173, 132, 185, 144, 197, 151, 204, 141, 194, 129, 182, 118, 171, 111, 164, 114, 167, 122, 175, 134, 187, 146, 199, 154, 207, 158, 211, 152, 205, 142, 195, 130, 183, 119, 172, 124, 177, 136, 189, 125, 178, 137, 190, 148, 201, 156, 209, 159, 212, 153, 206, 143, 196, 131, 184, 138, 191, 126, 179, 115, 168, 123, 176, 135, 188, 147, 200, 155, 208, 157, 210, 149, 202, 139, 192, 127, 180, 116, 169, 109, 162, 113, 166, 121, 174, 133, 186, 145, 198, 150, 203, 140, 193, 128, 181, 117, 170, 110, 163)
	L = (1, 109)(2, 113)(3, 115)(4, 116)(5, 107)(6, 121)(7, 123)(8, 108)(9, 125)(10, 126)(11, 127)(12, 110)(13, 111)(14, 133)(15, 135)(16, 112)(17, 137)(18, 114)(19, 134)(20, 136)(21, 138)(22, 139)(23, 117)(24, 118)(25, 119)(26, 145)(27, 147)(28, 120)(29, 148)(30, 122)(31, 146)(32, 124)(33, 131)(34, 149)(35, 128)(36, 129)(37, 130)(38, 150)(39, 155)(40, 132)(41, 156)(42, 154)(43, 143)(44, 157)(45, 140)(46, 141)(47, 142)(48, 144)(49, 159)(50, 158)(51, 153)(52, 151)(53, 152)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 106, 106 ), ( 106^106 ) }
Outer automorphisms :: reflexible
Dual of E26.702
Graph:: bipartite
	v = 54 e = 106 f = 2
	degree seq :: [ 2^53, 106 ]

E26.715 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y3 * Y2 * Y3^4 * Y2, Y2^-3 * Y3^-1 * Y2^-8, Y2^4 * Y3^-1 * Y2^4 * 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^-1 * Y1^-1)^53 ]
Map::
	R = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)(107, 160, 108, 161, 112, 165, 120, 173, 132, 185, 142, 195, 152, 205, 151, 204, 141, 194, 129, 182, 118, 171, 111, 164, 114, 167, 122, 175, 134, 187, 144, 197, 154, 207, 157, 210, 147, 200, 137, 190, 125, 178, 130, 183, 119, 172, 124, 177, 135, 188, 145, 198, 155, 208, 158, 211, 148, 201, 138, 191, 126, 179, 115, 168, 123, 176, 131, 184, 136, 189, 146, 199, 156, 209, 159, 212, 149, 202, 139, 192, 127, 180, 116, 169, 109, 162, 113, 166, 121, 174, 133, 186, 143, 196, 153, 206, 150, 203, 140, 193, 128, 181, 117, 170, 110, 163)
	L = (1, 109)(2, 113)(3, 115)(4, 116)(5, 107)(6, 121)(7, 123)(8, 108)(9, 125)(10, 126)(11, 127)(12, 110)(13, 111)(14, 133)(15, 131)(16, 112)(17, 130)(18, 114)(19, 129)(20, 137)(21, 138)(22, 139)(23, 117)(24, 118)(25, 119)(26, 143)(27, 136)(28, 120)(29, 122)(30, 124)(31, 141)(32, 147)(33, 148)(34, 149)(35, 128)(36, 153)(37, 146)(38, 132)(39, 134)(40, 135)(41, 151)(42, 157)(43, 158)(44, 159)(45, 140)(46, 150)(47, 156)(48, 142)(49, 144)(50, 145)(51, 152)(52, 154)(53, 155)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 106, 106 ), ( 106^106 ) }
Outer automorphisms :: reflexible
Dual of E26.704
Graph:: bipartite
	v = 54 e = 106 f = 2
	degree seq :: [ 2^53, 106 ]

E26.716 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y2^-1, Y3^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2^-1 * Y3^3 * Y2^-3, Y3^-2 * Y2^-1 * Y3^-7 * Y2^-1, Y3^-1 * Y2^-1 * Y3^-2 * Y2^-2 * Y3^-2 * Y2^-4, (Y2^-1 * Y3)^53, (Y3^-1 * Y1^-1)^53 ]
Map::
	R = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)(107, 160, 108, 161, 112, 165, 120, 173, 132, 185, 139, 192, 151, 204, 157, 210, 153, 206, 144, 197, 129, 182, 118, 171, 111, 164, 114, 167, 122, 175, 134, 187, 140, 193, 125, 178, 137, 190, 150, 203, 159, 212, 154, 207, 145, 198, 130, 183, 119, 172, 124, 177, 136, 189, 141, 194, 126, 179, 115, 168, 123, 176, 135, 188, 149, 202, 158, 211, 155, 208, 146, 199, 131, 184, 138, 191, 142, 195, 127, 180, 116, 169, 109, 162, 113, 166, 121, 174, 133, 186, 148, 201, 152, 205, 156, 209, 147, 200, 143, 196, 128, 181, 117, 170, 110, 163)
	L = (1, 109)(2, 113)(3, 115)(4, 116)(5, 107)(6, 121)(7, 123)(8, 108)(9, 125)(10, 126)(11, 127)(12, 110)(13, 111)(14, 133)(15, 135)(16, 112)(17, 137)(18, 114)(19, 139)(20, 140)(21, 141)(22, 142)(23, 117)(24, 118)(25, 119)(26, 148)(27, 149)(28, 120)(29, 150)(30, 122)(31, 151)(32, 124)(33, 152)(34, 132)(35, 134)(36, 136)(37, 138)(38, 128)(39, 129)(40, 130)(41, 131)(42, 158)(43, 159)(44, 157)(45, 156)(46, 155)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 154)(53, 153)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 106, 106 ), ( 106^106 ) }
Outer automorphisms :: reflexible
Dual of E26.686
Graph:: bipartite
	v = 54 e = 106 f = 2
	degree seq :: [ 2^53, 106 ]

E26.717 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y2), Y3^4 * Y2^-1, Y2^-6 * Y3^-1 * Y2^-7, 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^-1 * Y2^-4, (Y3^-1 * Y1^-1)^53 ]
Map::
	R = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)(107, 160, 108, 161, 112, 165, 120, 173, 128, 181, 136, 189, 144, 197, 152, 205, 150, 203, 142, 195, 134, 187, 126, 179, 118, 171, 111, 164, 114, 167, 122, 175, 130, 183, 138, 191, 146, 199, 154, 207, 158, 211, 157, 210, 151, 204, 143, 196, 135, 188, 127, 180, 119, 172, 115, 168, 123, 176, 131, 184, 139, 192, 147, 200, 155, 208, 159, 212, 156, 209, 148, 201, 140, 193, 132, 185, 124, 177, 116, 169, 109, 162, 113, 166, 121, 174, 129, 182, 137, 190, 145, 198, 153, 206, 149, 202, 141, 194, 133, 186, 125, 178, 117, 170, 110, 163)
	L = (1, 109)(2, 113)(3, 115)(4, 116)(5, 107)(6, 121)(7, 123)(8, 108)(9, 114)(10, 119)(11, 124)(12, 110)(13, 111)(14, 129)(15, 131)(16, 112)(17, 122)(18, 127)(19, 132)(20, 117)(21, 118)(22, 137)(23, 139)(24, 120)(25, 130)(26, 135)(27, 140)(28, 125)(29, 126)(30, 145)(31, 147)(32, 128)(33, 138)(34, 143)(35, 148)(36, 133)(37, 134)(38, 153)(39, 155)(40, 136)(41, 146)(42, 151)(43, 156)(44, 141)(45, 142)(46, 149)(47, 159)(48, 144)(49, 154)(50, 157)(51, 150)(52, 152)(53, 158)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 106, 106 ), ( 106^106 ) }
Outer automorphisms :: reflexible
Dual of E26.683
Graph:: bipartite
	v = 54 e = 106 f = 2
	degree seq :: [ 2^53, 106 ]

E26.718 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y3^2 * Y2 * Y3 * Y2^2 * Y3, Y3^2 * Y2^-1 * Y3 * Y2^-10, Y2^5 * 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 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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)^53 ]
Map::
	R = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)(107, 160, 108, 161, 112, 165, 120, 173, 132, 185, 140, 193, 148, 201, 156, 209, 152, 205, 144, 197, 136, 189, 125, 178, 129, 182, 118, 171, 111, 164, 114, 167, 122, 175, 133, 186, 141, 194, 149, 202, 157, 210, 153, 206, 145, 198, 137, 190, 126, 179, 115, 168, 123, 176, 130, 183, 119, 172, 124, 177, 134, 187, 142, 195, 150, 203, 158, 211, 154, 207, 146, 199, 138, 191, 127, 180, 116, 169, 109, 162, 113, 166, 121, 174, 131, 184, 135, 188, 143, 196, 151, 204, 159, 212, 155, 208, 147, 200, 139, 192, 128, 181, 117, 170, 110, 163)
	L = (1, 109)(2, 113)(3, 115)(4, 116)(5, 107)(6, 121)(7, 123)(8, 108)(9, 125)(10, 126)(11, 127)(12, 110)(13, 111)(14, 131)(15, 130)(16, 112)(17, 129)(18, 114)(19, 128)(20, 136)(21, 137)(22, 138)(23, 117)(24, 118)(25, 119)(26, 135)(27, 120)(28, 122)(29, 124)(30, 139)(31, 144)(32, 145)(33, 146)(34, 143)(35, 132)(36, 133)(37, 134)(38, 147)(39, 152)(40, 153)(41, 154)(42, 151)(43, 140)(44, 141)(45, 142)(46, 155)(47, 156)(48, 157)(49, 158)(50, 159)(51, 148)(52, 149)(53, 150)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 106, 106 ), ( 106^106 ) }
Outer automorphisms :: reflexible
Dual of E26.692
Graph:: bipartite
	v = 54 e = 106 f = 2
	degree seq :: [ 2^53, 106 ]

E26.719 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, Y3^6 * Y2^-1 * Y3, Y2^2 * Y3 * Y2 * Y3 * Y2 * Y3^2 * Y2^3, Y2^2 * Y3^-1 * Y2^5 * Y3^-2 * Y2, Y2^-1 * Y3^-4 * Y2^-1 * Y3^-4 * Y2^-1 * Y3^-4 * Y2^-1 * Y3^-4 * Y2^-1 * Y3^-2, Y2^-1 * Y3^-3 * 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^-1 * Y1^-1)^53 ]
Map::
	R = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)(107, 160, 108, 161, 112, 165, 120, 173, 132, 185, 146, 199, 153, 206, 139, 192, 125, 178, 137, 190, 151, 204, 157, 210, 143, 196, 129, 182, 118, 171, 111, 164, 114, 167, 122, 175, 134, 187, 148, 201, 154, 207, 140, 193, 126, 179, 115, 168, 123, 176, 135, 188, 149, 202, 158, 211, 144, 197, 130, 183, 119, 172, 124, 177, 136, 189, 150, 203, 155, 208, 141, 194, 127, 180, 116, 169, 109, 162, 113, 166, 121, 174, 133, 186, 147, 200, 159, 212, 145, 198, 131, 184, 138, 191, 152, 205, 156, 209, 142, 195, 128, 181, 117, 170, 110, 163)
	L = (1, 109)(2, 113)(3, 115)(4, 116)(5, 107)(6, 121)(7, 123)(8, 108)(9, 125)(10, 126)(11, 127)(12, 110)(13, 111)(14, 133)(15, 135)(16, 112)(17, 137)(18, 114)(19, 138)(20, 139)(21, 140)(22, 141)(23, 117)(24, 118)(25, 119)(26, 147)(27, 149)(28, 120)(29, 151)(30, 122)(31, 152)(32, 124)(33, 131)(34, 153)(35, 154)(36, 155)(37, 128)(38, 129)(39, 130)(40, 159)(41, 158)(42, 132)(43, 157)(44, 134)(45, 156)(46, 136)(47, 145)(48, 146)(49, 148)(50, 150)(51, 142)(52, 143)(53, 144)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 106, 106 ), ( 106^106 ) }
Outer automorphisms :: reflexible
Dual of E26.689
Graph:: bipartite
	v = 54 e = 106 f = 2
	degree seq :: [ 2^53, 106 ]

E26.720 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y3^2 * Y2^-1 * Y3 * Y2^-4, Y3 * Y2 * Y3^9, 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 * Y2^3 * 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 * Y3 * Y2, (Y3^-1 * Y1^-1)^53 ]
Map::
	R = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)(107, 160, 108, 161, 112, 165, 120, 173, 132, 185, 125, 178, 137, 190, 146, 199, 155, 208, 159, 212, 152, 205, 143, 196, 148, 201, 140, 193, 129, 182, 118, 171, 111, 164, 114, 167, 122, 175, 134, 187, 126, 179, 115, 168, 123, 176, 135, 188, 145, 198, 154, 207, 149, 202, 153, 206, 157, 210, 150, 203, 141, 194, 130, 183, 119, 172, 124, 177, 136, 189, 127, 180, 116, 169, 109, 162, 113, 166, 121, 174, 133, 186, 144, 197, 139, 192, 147, 200, 156, 209, 158, 211, 151, 204, 142, 195, 131, 184, 138, 191, 128, 181, 117, 170, 110, 163)
	L = (1, 109)(2, 113)(3, 115)(4, 116)(5, 107)(6, 121)(7, 123)(8, 108)(9, 125)(10, 126)(11, 127)(12, 110)(13, 111)(14, 133)(15, 135)(16, 112)(17, 137)(18, 114)(19, 139)(20, 132)(21, 134)(22, 136)(23, 117)(24, 118)(25, 119)(26, 144)(27, 145)(28, 120)(29, 146)(30, 122)(31, 147)(32, 124)(33, 149)(34, 128)(35, 129)(36, 130)(37, 131)(38, 154)(39, 155)(40, 156)(41, 153)(42, 138)(43, 152)(44, 140)(45, 141)(46, 142)(47, 143)(48, 159)(49, 158)(50, 157)(51, 148)(52, 150)(53, 151)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 106, 106 ), ( 106^106 ) }
Outer automorphisms :: reflexible
Dual of E26.696
Graph:: bipartite
	v = 54 e = 106 f = 2
	degree seq :: [ 2^53, 106 ]

E26.721 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y3 * Y2^-1 * Y3^2 * Y2^-1, Y2^-6 * Y3^-1 * Y2^-11, Y2^-1 * Y3^-25, (Y3^-1 * Y1^-1)^53 ]
Map::
	R = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)(107, 160, 108, 161, 112, 165, 120, 173, 126, 179, 132, 185, 138, 191, 144, 197, 150, 203, 156, 209, 154, 207, 148, 201, 142, 195, 136, 189, 130, 183, 124, 177, 118, 171, 111, 164, 114, 167, 115, 168, 122, 175, 128, 181, 134, 187, 140, 193, 146, 199, 152, 205, 158, 211, 159, 212, 155, 208, 149, 202, 143, 196, 137, 190, 131, 184, 125, 178, 119, 172, 116, 169, 109, 162, 113, 166, 121, 174, 127, 180, 133, 186, 139, 192, 145, 198, 151, 204, 157, 210, 153, 206, 147, 200, 141, 194, 135, 188, 129, 182, 123, 176, 117, 170, 110, 163)
	L = (1, 109)(2, 113)(3, 115)(4, 116)(5, 107)(6, 121)(7, 122)(8, 108)(9, 112)(10, 114)(11, 119)(12, 110)(13, 111)(14, 127)(15, 128)(16, 120)(17, 125)(18, 117)(19, 118)(20, 133)(21, 134)(22, 126)(23, 131)(24, 123)(25, 124)(26, 139)(27, 140)(28, 132)(29, 137)(30, 129)(31, 130)(32, 145)(33, 146)(34, 138)(35, 143)(36, 135)(37, 136)(38, 151)(39, 152)(40, 144)(41, 149)(42, 141)(43, 142)(44, 157)(45, 158)(46, 150)(47, 155)(48, 147)(49, 148)(50, 153)(51, 159)(52, 156)(53, 154)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 106, 106 ), ( 106^106 ) }
Outer automorphisms :: reflexible
Dual of E26.681
Graph:: bipartite
	v = 54 e = 106 f = 2
	degree seq :: [ 2^53, 106 ]

E26.722 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3^-3 * Y2^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^8 * Y3^-1 * Y2^-8 * Y3, Y2^8 * Y3^-2 * Y2^9, (Y3^-1 * Y1^-1)^53, (Y3 * Y2^-1)^53 ]
Map::
	R = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)(107, 160, 108, 161, 112, 165, 118, 171, 124, 177, 130, 183, 136, 189, 142, 195, 148, 201, 154, 207, 157, 210, 151, 204, 145, 198, 139, 192, 133, 186, 127, 180, 121, 174, 115, 168, 111, 164, 114, 167, 120, 173, 126, 179, 132, 185, 138, 191, 144, 197, 150, 203, 156, 209, 158, 211, 152, 205, 146, 199, 140, 193, 134, 187, 128, 181, 122, 175, 116, 169, 109, 162, 113, 166, 119, 172, 125, 178, 131, 184, 137, 190, 143, 196, 149, 202, 155, 208, 159, 212, 153, 206, 147, 200, 141, 194, 135, 188, 129, 182, 123, 176, 117, 170, 110, 163)
	L = (1, 109)(2, 113)(3, 115)(4, 116)(5, 107)(6, 119)(7, 111)(8, 108)(9, 110)(10, 121)(11, 122)(12, 125)(13, 114)(14, 112)(15, 117)(16, 127)(17, 128)(18, 131)(19, 120)(20, 118)(21, 123)(22, 133)(23, 134)(24, 137)(25, 126)(26, 124)(27, 129)(28, 139)(29, 140)(30, 143)(31, 132)(32, 130)(33, 135)(34, 145)(35, 146)(36, 149)(37, 138)(38, 136)(39, 141)(40, 151)(41, 152)(42, 155)(43, 144)(44, 142)(45, 147)(46, 157)(47, 158)(48, 159)(49, 150)(50, 148)(51, 153)(52, 154)(53, 156)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 106, 106 ), ( 106^106 ) }
Outer automorphisms :: reflexible
Dual of E26.684
Graph:: bipartite
	v = 54 e = 106 f = 2
	degree seq :: [ 2^53, 106 ]

E26.723 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2), Y2^2 * Y3 * Y2 * Y3^2 * Y2, Y3^4 * Y2^-1 * Y3^6 * Y2^-2 * Y3, Y3^-7 * Y2^-2 * Y3^4 * Y2^-2, (Y2^-1 * Y3)^53, (Y3^-1 * Y1^-1)^53 ]
Map::
	R = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)(107, 160, 108, 161, 112, 165, 120, 173, 131, 184, 134, 187, 141, 194, 148, 201, 155, 208, 158, 211, 152, 205, 143, 196, 146, 199, 137, 190, 126, 179, 115, 168, 123, 176, 129, 182, 118, 171, 111, 164, 114, 167, 122, 175, 132, 185, 139, 192, 142, 195, 149, 202, 156, 209, 159, 212, 153, 206, 144, 197, 135, 188, 138, 191, 127, 180, 116, 169, 109, 162, 113, 166, 121, 174, 130, 183, 119, 172, 124, 177, 133, 186, 140, 193, 147, 200, 150, 203, 157, 210, 151, 204, 154, 207, 145, 198, 136, 189, 125, 178, 128, 181, 117, 170, 110, 163)
	L = (1, 109)(2, 113)(3, 115)(4, 116)(5, 107)(6, 121)(7, 123)(8, 108)(9, 125)(10, 126)(11, 127)(12, 110)(13, 111)(14, 130)(15, 129)(16, 112)(17, 128)(18, 114)(19, 135)(20, 136)(21, 137)(22, 138)(23, 117)(24, 118)(25, 119)(26, 120)(27, 122)(28, 124)(29, 143)(30, 144)(31, 145)(32, 146)(33, 131)(34, 132)(35, 133)(36, 134)(37, 151)(38, 152)(39, 153)(40, 154)(41, 139)(42, 140)(43, 141)(44, 142)(45, 156)(46, 157)(47, 158)(48, 159)(49, 147)(50, 148)(51, 149)(52, 150)(53, 155)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 106, 106 ), ( 106^106 ) }
Outer automorphisms :: reflexible
Dual of E26.691
Graph:: bipartite
	v = 54 e = 106 f = 2
	degree seq :: [ 2^53, 106 ]

E26.724 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3, Y2), Y3 * Y2 * Y3^7, Y2^-3 * Y3^-1 * Y2^-1 * Y3^-2 * Y2^-3, Y2^2 * Y3^-1 * Y2^3 * Y3^-4 * 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^-1 * Y1^-1)^53 ]
Map::
	R = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)(107, 160, 108, 161, 112, 165, 120, 173, 132, 185, 148, 201, 146, 199, 131, 184, 138, 191, 154, 207, 158, 211, 141, 194, 126, 179, 115, 168, 123, 176, 135, 188, 151, 204, 144, 197, 129, 182, 118, 171, 111, 164, 114, 167, 122, 175, 134, 187, 150, 203, 156, 209, 139, 192, 147, 200, 155, 208, 159, 212, 142, 195, 127, 180, 116, 169, 109, 162, 113, 166, 121, 174, 133, 186, 149, 202, 145, 198, 130, 183, 119, 172, 124, 177, 136, 189, 152, 205, 157, 210, 140, 193, 125, 178, 137, 190, 153, 206, 143, 196, 128, 181, 117, 170, 110, 163)
	L = (1, 109)(2, 113)(3, 115)(4, 116)(5, 107)(6, 121)(7, 123)(8, 108)(9, 125)(10, 126)(11, 127)(12, 110)(13, 111)(14, 133)(15, 135)(16, 112)(17, 137)(18, 114)(19, 139)(20, 140)(21, 141)(22, 142)(23, 117)(24, 118)(25, 119)(26, 149)(27, 151)(28, 120)(29, 153)(30, 122)(31, 147)(32, 124)(33, 146)(34, 156)(35, 157)(36, 158)(37, 159)(38, 128)(39, 129)(40, 130)(41, 131)(42, 145)(43, 144)(44, 132)(45, 143)(46, 134)(47, 155)(48, 136)(49, 138)(50, 148)(51, 150)(52, 152)(53, 154)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 106, 106 ), ( 106^106 ) }
Outer automorphisms :: reflexible
Dual of E26.688
Graph:: bipartite
	v = 54 e = 106 f = 2
	degree seq :: [ 2^53, 106 ]

E26.725 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2^-1, Y3), Y2^-1 * Y3^2 * Y2 * Y3^-2, Y3^-5 * Y2, Y2^5 * Y3^-1 * Y2^-5 * Y3, Y2^4 * Y3^-1 * Y2^6 * Y3^-1 * Y2, 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^-1, (Y3^-1 * Y1^-1)^53 ]
Map::
	R = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)(107, 160, 108, 161, 112, 165, 120, 173, 130, 183, 140, 193, 150, 203, 155, 208, 145, 198, 135, 188, 125, 178, 115, 168, 123, 176, 133, 186, 143, 196, 153, 206, 158, 211, 148, 201, 138, 191, 128, 181, 118, 171, 111, 164, 114, 167, 122, 175, 132, 185, 142, 195, 152, 205, 156, 209, 146, 199, 136, 189, 126, 179, 116, 169, 109, 162, 113, 166, 121, 174, 131, 184, 141, 194, 151, 204, 159, 212, 149, 202, 139, 192, 129, 182, 119, 172, 124, 177, 134, 187, 144, 197, 154, 207, 157, 210, 147, 200, 137, 190, 127, 180, 117, 170, 110, 163)
	L = (1, 109)(2, 113)(3, 115)(4, 116)(5, 107)(6, 121)(7, 123)(8, 108)(9, 124)(10, 125)(11, 126)(12, 110)(13, 111)(14, 131)(15, 133)(16, 112)(17, 134)(18, 114)(19, 119)(20, 135)(21, 136)(22, 117)(23, 118)(24, 141)(25, 143)(26, 120)(27, 144)(28, 122)(29, 129)(30, 145)(31, 146)(32, 127)(33, 128)(34, 151)(35, 153)(36, 130)(37, 154)(38, 132)(39, 139)(40, 155)(41, 156)(42, 137)(43, 138)(44, 159)(45, 158)(46, 140)(47, 157)(48, 142)(49, 149)(50, 150)(51, 152)(52, 147)(53, 148)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 106, 106 ), ( 106^106 ) }
Outer automorphisms :: reflexible
Dual of E26.685
Graph:: bipartite
	v = 54 e = 106 f = 2
	degree seq :: [ 2^53, 106 ]

E26.726 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y3^3 * Y2 * Y3 * Y2^3 * Y3, Y3 * Y2^-1 * Y3 * Y2^-8, Y3^3 * Y2^-1 * Y3 * Y2^-1 * Y3^3 * Y2^-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 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-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^-1 * Y1^-1)^53 ]
Map::
	R = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)(107, 160, 108, 161, 112, 165, 120, 173, 132, 185, 148, 201, 155, 208, 141, 194, 126, 179, 115, 168, 123, 176, 135, 188, 146, 199, 131, 184, 138, 191, 151, 204, 158, 211, 153, 206, 139, 192, 144, 197, 129, 182, 118, 171, 111, 164, 114, 167, 122, 175, 134, 187, 149, 202, 156, 209, 142, 195, 127, 180, 116, 169, 109, 162, 113, 166, 121, 174, 133, 186, 147, 200, 152, 205, 159, 212, 154, 207, 140, 193, 125, 178, 137, 190, 145, 198, 130, 183, 119, 172, 124, 177, 136, 189, 150, 203, 157, 210, 143, 196, 128, 181, 117, 170, 110, 163)
	L = (1, 109)(2, 113)(3, 115)(4, 116)(5, 107)(6, 121)(7, 123)(8, 108)(9, 125)(10, 126)(11, 127)(12, 110)(13, 111)(14, 133)(15, 135)(16, 112)(17, 137)(18, 114)(19, 139)(20, 140)(21, 141)(22, 142)(23, 117)(24, 118)(25, 119)(26, 147)(27, 146)(28, 120)(29, 145)(30, 122)(31, 144)(32, 124)(33, 143)(34, 153)(35, 154)(36, 155)(37, 156)(38, 128)(39, 129)(40, 130)(41, 131)(42, 152)(43, 132)(44, 134)(45, 136)(46, 138)(47, 157)(48, 158)(49, 159)(50, 148)(51, 149)(52, 150)(53, 151)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 106, 106 ), ( 106^106 ) }
Outer automorphisms :: reflexible
Dual of E26.697
Graph:: bipartite
	v = 54 e = 106 f = 2
	degree seq :: [ 2^53, 106 ]

E26.727 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y3 * Y2 * Y3^6 * Y2, Y3^-1 * Y2 * Y3^-1 * Y2^6, Y2^-1 * 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^-1, (Y3^-1 * Y1^-1)^53 ]
Map::
	R = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)(107, 160, 108, 161, 112, 165, 120, 173, 132, 185, 141, 194, 126, 179, 115, 168, 123, 176, 135, 188, 149, 202, 156, 209, 158, 211, 152, 205, 139, 192, 146, 199, 131, 184, 138, 191, 150, 203, 154, 207, 144, 197, 129, 182, 118, 171, 111, 164, 114, 167, 122, 175, 134, 187, 142, 195, 127, 180, 116, 169, 109, 162, 113, 166, 121, 174, 133, 186, 148, 201, 153, 206, 140, 193, 125, 178, 137, 190, 147, 200, 151, 204, 157, 210, 159, 212, 155, 208, 145, 198, 130, 183, 119, 172, 124, 177, 136, 189, 143, 196, 128, 181, 117, 170, 110, 163)
	L = (1, 109)(2, 113)(3, 115)(4, 116)(5, 107)(6, 121)(7, 123)(8, 108)(9, 125)(10, 126)(11, 127)(12, 110)(13, 111)(14, 133)(15, 135)(16, 112)(17, 137)(18, 114)(19, 139)(20, 140)(21, 141)(22, 142)(23, 117)(24, 118)(25, 119)(26, 148)(27, 149)(28, 120)(29, 147)(30, 122)(31, 146)(32, 124)(33, 145)(34, 152)(35, 153)(36, 132)(37, 134)(38, 128)(39, 129)(40, 130)(41, 131)(42, 156)(43, 151)(44, 136)(45, 138)(46, 155)(47, 158)(48, 143)(49, 144)(50, 157)(51, 150)(52, 159)(53, 154)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 106, 106 ), ( 106^106 ) }
Outer automorphisms :: reflexible
Dual of E26.698
Graph:: bipartite
	v = 54 e = 106 f = 2
	degree seq :: [ 2^53, 106 ]

E26.728 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y3^-2 * Y2^5, Y3^10 * Y2^-1 * Y3, Y2 * Y3 * Y2 * Y3^3 * Y2 * Y3^5 * 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 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-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^-1 * Y1^-1)^53 ]
Map::
	R = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)(107, 160, 108, 161, 112, 165, 120, 173, 126, 179, 115, 168, 123, 176, 133, 186, 142, 195, 147, 200, 136, 189, 144, 197, 153, 206, 159, 212, 151, 204, 155, 208, 157, 210, 149, 202, 140, 193, 131, 184, 135, 188, 138, 191, 129, 182, 118, 171, 111, 164, 114, 167, 122, 175, 127, 180, 116, 169, 109, 162, 113, 166, 121, 174, 132, 185, 137, 190, 125, 178, 134, 187, 143, 196, 152, 205, 156, 209, 146, 199, 154, 207, 158, 211, 150, 203, 141, 194, 145, 198, 148, 201, 139, 192, 130, 183, 119, 172, 124, 177, 128, 181, 117, 170, 110, 163)
	L = (1, 109)(2, 113)(3, 115)(4, 116)(5, 107)(6, 121)(7, 123)(8, 108)(9, 125)(10, 126)(11, 127)(12, 110)(13, 111)(14, 132)(15, 133)(16, 112)(17, 134)(18, 114)(19, 136)(20, 137)(21, 120)(22, 122)(23, 117)(24, 118)(25, 119)(26, 142)(27, 143)(28, 144)(29, 124)(30, 146)(31, 147)(32, 128)(33, 129)(34, 130)(35, 131)(36, 152)(37, 153)(38, 154)(39, 135)(40, 155)(41, 156)(42, 138)(43, 139)(44, 140)(45, 141)(46, 159)(47, 158)(48, 157)(49, 145)(50, 151)(51, 148)(52, 149)(53, 150)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 106, 106 ), ( 106^106 ) }
Outer automorphisms :: reflexible
Dual of E26.695
Graph:: bipartite
	v = 54 e = 106 f = 2
	degree seq :: [ 2^53, 106 ]

E26.729 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {53, 53, 53})
Quotient :: dipole
Aut^+ = C53 (small group id <53, 1>)
Aut   = D106 (small group id <106, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y2 * Y3^-1 * Y2 * Y3^-1 * Y2, Y3^15 * Y2 * Y3^2, (Y3^-1 * Y1^-1)^53 ]
Map::
	R = (1, 54)(2, 55)(3, 56)(4, 57)(5, 58)(6, 59)(7, 60)(8, 61)(9, 62)(10, 63)(11, 64)(12, 65)(13, 66)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 78)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 84)(32, 85)(33, 86)(34, 87)(35, 88)(36, 89)(37, 90)(38, 91)(39, 92)(40, 93)(41, 94)(42, 95)(43, 96)(44, 97)(45, 98)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 106)(107, 160, 108, 161, 112, 165, 115, 168, 121, 174, 126, 179, 128, 181, 133, 186, 138, 191, 140, 193, 145, 198, 150, 203, 152, 205, 157, 210, 159, 212, 154, 207, 149, 202, 147, 200, 142, 195, 137, 190, 135, 188, 130, 183, 125, 178, 123, 176, 118, 171, 111, 164, 114, 167, 116, 169, 109, 162, 113, 166, 120, 173, 122, 175, 127, 180, 132, 185, 134, 187, 139, 192, 144, 197, 146, 199, 151, 204, 156, 209, 158, 211, 155, 208, 153, 206, 148, 201, 143, 196, 141, 194, 136, 189, 131, 184, 129, 182, 124, 177, 119, 172, 117, 170, 110, 163)
	L = (1, 109)(2, 113)(3, 115)(4, 116)(5, 107)(6, 120)(7, 121)(8, 108)(9, 122)(10, 112)(11, 114)(12, 110)(13, 111)(14, 126)(15, 127)(16, 128)(17, 117)(18, 118)(19, 119)(20, 132)(21, 133)(22, 134)(23, 123)(24, 124)(25, 125)(26, 138)(27, 139)(28, 140)(29, 129)(30, 130)(31, 131)(32, 144)(33, 145)(34, 146)(35, 135)(36, 136)(37, 137)(38, 150)(39, 151)(40, 152)(41, 141)(42, 142)(43, 143)(44, 156)(45, 157)(46, 158)(47, 147)(48, 148)(49, 149)(50, 159)(51, 155)(52, 154)(53, 153)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 106, 106 ), ( 106^106 ) }
Outer automorphisms :: reflexible
Dual of E26.682
Graph:: bipartite
	v = 54 e = 106 f = 2
	degree seq :: [ 2^53, 106 ]

E26.730 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 27, 27})
Quotient :: halfedge^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y2 * Y3, Y1^-1 * Y3 * Y1^-1 * Y2, R * Y3 * R * Y2, (R * Y1)^2, Y1^27 ]
Map::
	R = (1, 56, 2, 59, 5, 63, 9, 67, 13, 71, 17, 75, 21, 79, 25, 83, 29, 87, 33, 91, 37, 95, 41, 99, 45, 103, 49, 106, 52, 102, 48, 98, 44, 94, 40, 90, 36, 86, 32, 82, 28, 78, 24, 74, 20, 70, 16, 66, 12, 62, 8, 58, 4, 55)(3, 61, 7, 65, 11, 69, 15, 73, 19, 77, 23, 81, 27, 85, 31, 89, 35, 93, 39, 97, 43, 101, 47, 105, 51, 108, 54, 107, 53, 104, 50, 100, 46, 96, 42, 92, 38, 88, 34, 84, 30, 80, 26, 76, 22, 72, 18, 68, 14, 64, 10, 60, 6, 57)
	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, 34)(32, 35)(33, 38)(36, 39)(37, 42)(40, 43)(41, 46)(44, 47)(45, 50)(48, 51)(49, 53)(52, 54)(55, 57)(56, 60)(58, 61)(59, 64)(62, 65)(63, 68)(66, 69)(67, 72)(70, 73)(71, 76)(74, 77)(75, 80)(78, 81)(79, 84)(82, 85)(83, 88)(86, 89)(87, 92)(90, 93)(91, 96)(94, 97)(95, 100)(98, 101)(99, 104)(102, 105)(103, 107)(106, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.731 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 27, 27})
Quotient :: halfedge^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y1^-1 * Y2)^2, (Y3 * Y1)^2, (R * Y1)^2, R * Y3 * R * Y2, Y3 * Y1^4 * Y2, Y1 * Y3 * Y1^-2 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2, (Y2 * Y1 * Y3)^27 ]
Map:: non-degenerate
	R = (1, 56, 2, 60, 6, 68, 14, 66, 12, 72, 18, 78, 24, 85, 31, 84, 30, 88, 34, 94, 40, 101, 47, 100, 46, 104, 50, 106, 52, 99, 45, 103, 49, 97, 43, 90, 36, 83, 29, 87, 33, 81, 27, 74, 20, 64, 10, 71, 17, 67, 13, 59, 5, 55)(3, 63, 9, 73, 19, 79, 25, 75, 21, 82, 28, 89, 35, 95, 41, 91, 37, 98, 44, 105, 51, 108, 54, 107, 53, 102, 48, 96, 42, 92, 38, 93, 39, 86, 32, 80, 26, 76, 22, 77, 23, 70, 16, 62, 8, 58, 4, 65, 11, 69, 15, 61, 7, 57)
	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, 52)(49, 54)(55, 58)(56, 62)(57, 64)(59, 65)(60, 70)(61, 71)(63, 74)(66, 76)(67, 69)(68, 77)(72, 80)(73, 81)(75, 83)(78, 86)(79, 87)(82, 90)(84, 92)(85, 93)(88, 96)(89, 97)(91, 99)(94, 102)(95, 103)(98, 106)(100, 108)(101, 107)(104, 105)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.732
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.732 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 27, 27})
Quotient :: halfedge^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y1)^2, (Y2 * Y1)^2, (R * Y1)^2, R * Y2 * R * Y3, (Y1^-2 * Y3)^2, Y1 * Y2 * Y1^-2 * Y3 * Y2 * Y3, Y1^-4 * Y2 * Y3 * Y1^-8, Y3 * Y1^-1 * Y2 * Y1^3 * Y3 * Y1^-1 * Y2 * Y1^3 * Y3 * Y1^-1 * 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 ]
Map:: non-degenerate
	R = (1, 56, 2, 60, 6, 68, 14, 80, 26, 88, 34, 96, 42, 104, 50, 101, 47, 93, 39, 85, 31, 74, 20, 64, 10, 71, 17, 77, 23, 66, 12, 72, 18, 82, 28, 90, 36, 98, 44, 106, 52, 103, 49, 95, 41, 87, 33, 79, 25, 67, 13, 59, 5, 55)(3, 63, 9, 73, 19, 84, 30, 92, 38, 100, 46, 105, 51, 97, 43, 89, 35, 81, 27, 70, 16, 62, 8, 58, 4, 65, 11, 76, 22, 75, 21, 86, 32, 94, 40, 102, 48, 108, 54, 107, 53, 99, 45, 91, 37, 83, 29, 78, 24, 69, 15, 61, 7, 57)
	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, 54)(49, 51)(50, 53)(55, 58)(56, 62)(57, 64)(59, 65)(60, 70)(61, 71)(63, 74)(66, 78)(67, 76)(68, 81)(69, 77)(72, 83)(73, 85)(75, 79)(80, 89)(82, 91)(84, 93)(86, 87)(88, 97)(90, 99)(92, 101)(94, 95)(96, 105)(98, 107)(100, 104)(102, 103)(106, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.731
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.733 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 27, 27})
Quotient :: halfedge^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y1)^2, (R * Y1)^2, (Y3 * Y1)^2, (Y3 * Y2)^3, Y1^3 * Y2 * Y1^-6 * Y3, Y1^3 * Y3 * Y1^-3 * Y2 * Y3 * Y1^-3 * Y2, Y1^3 * Y3 * Y1^3 * Y2 * Y3 * Y1^3 * Y2 * Y3 * Y1^3 * Y2 * Y3 * Y1^3 * 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^-3 ]
Map:: non-degenerate
	R = (1, 56, 2, 60, 6, 68, 14, 79, 25, 91, 37, 101, 47, 89, 35, 77, 23, 66, 12, 72, 18, 83, 29, 95, 41, 104, 50, 107, 53, 98, 44, 86, 32, 74, 20, 64, 10, 71, 17, 82, 28, 94, 40, 102, 48, 90, 36, 78, 24, 67, 13, 59, 5, 55)(3, 63, 9, 73, 19, 85, 31, 97, 43, 106, 52, 105, 51, 96, 42, 84, 30, 75, 21, 87, 33, 99, 45, 108, 54, 103, 49, 93, 39, 81, 27, 70, 16, 62, 8, 58, 4, 65, 11, 76, 22, 88, 34, 100, 46, 92, 38, 80, 26, 69, 15, 61, 7, 57)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 26)(16, 29)(17, 30)(20, 33)(22, 35)(24, 31)(25, 38)(27, 41)(28, 42)(32, 45)(34, 47)(36, 43)(37, 46)(39, 50)(40, 51)(44, 54)(48, 52)(49, 53)(55, 58)(56, 62)(57, 64)(59, 65)(60, 70)(61, 71)(63, 74)(66, 75)(67, 76)(68, 81)(69, 82)(72, 84)(73, 86)(77, 87)(78, 88)(79, 93)(80, 94)(83, 96)(85, 98)(89, 99)(90, 100)(91, 103)(92, 102)(95, 105)(97, 107)(101, 108)(104, 106)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.738
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.734 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 27, 27})
Quotient :: halfedge^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y1)^2, (R * Y1)^2, (Y3 * Y1)^2, Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-3 * Y3, (Y2 * Y1^-1 * Y3)^3, Y1 * Y2 * Y1^-2 * Y3 * Y2 * Y3 * Y2 * Y3, Y1^-2 * Y2 * 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 * 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, 56, 2, 60, 6, 68, 14, 80, 26, 96, 42, 88, 34, 74, 20, 64, 10, 71, 17, 83, 29, 94, 40, 101, 47, 107, 53, 108, 54, 103, 49, 90, 36, 92, 38, 77, 23, 66, 12, 72, 18, 84, 30, 99, 45, 95, 41, 79, 25, 67, 13, 59, 5, 55)(3, 63, 9, 73, 19, 87, 33, 98, 44, 82, 28, 70, 16, 62, 8, 58, 4, 65, 11, 76, 22, 91, 37, 104, 50, 106, 52, 100, 46, 86, 32, 78, 24, 93, 39, 85, 31, 75, 21, 89, 35, 102, 48, 105, 51, 97, 43, 81, 27, 69, 15, 61, 7, 57)
	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, 45)(29, 39)(32, 47)(34, 48)(36, 37)(41, 44)(42, 51)(46, 53)(49, 50)(52, 54)(55, 58)(56, 62)(57, 64)(59, 65)(60, 70)(61, 71)(63, 74)(66, 78)(67, 76)(68, 82)(69, 83)(72, 86)(73, 88)(75, 90)(77, 93)(79, 91)(80, 98)(81, 94)(84, 100)(85, 92)(87, 96)(89, 103)(95, 104)(97, 101)(99, 106)(102, 108)(105, 107)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.736
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.735 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 27, 27})
Quotient :: halfedge^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y1^-1)^2, (Y1^-1 * Y3)^2, (R * Y1)^2, R * Y2 * R * Y3, Y3 * Y1^-1 * Y2 * Y3 * Y2, Y1^-11 * Y3 * Y1^2 * Y2 ]
Map:: non-degenerate
	R = (1, 56, 2, 60, 6, 68, 14, 76, 22, 84, 30, 92, 38, 100, 46, 106, 52, 98, 44, 90, 36, 82, 28, 74, 20, 66, 12, 64, 10, 71, 17, 79, 25, 87, 33, 95, 41, 103, 49, 107, 53, 99, 45, 91, 37, 83, 29, 75, 21, 67, 13, 59, 5, 55)(3, 63, 9, 72, 18, 80, 26, 88, 34, 96, 42, 104, 50, 108, 54, 102, 48, 94, 40, 86, 32, 78, 24, 70, 16, 62, 8, 58, 4, 65, 11, 73, 19, 81, 27, 89, 35, 97, 43, 105, 51, 101, 47, 93, 39, 85, 31, 77, 23, 69, 15, 61, 7, 57)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 10)(11, 20)(13, 18)(14, 23)(16, 17)(19, 28)(21, 26)(22, 31)(24, 25)(27, 36)(29, 34)(30, 39)(32, 33)(35, 44)(37, 42)(38, 47)(40, 41)(43, 52)(45, 50)(46, 51)(48, 49)(53, 54)(55, 58)(56, 62)(57, 64)(59, 65)(60, 70)(61, 71)(63, 66)(67, 73)(68, 78)(69, 79)(72, 74)(75, 81)(76, 86)(77, 87)(80, 82)(83, 89)(84, 94)(85, 95)(88, 90)(91, 97)(92, 102)(93, 103)(96, 98)(99, 105)(100, 108)(101, 107)(104, 106)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.737
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.736 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 27, 27})
Quotient :: halfedge^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y2 * Y1)^2, Y1 * Y2 * Y1^-2 * Y3, (Y3 * Y2)^9, 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 ]
Map:: non-degenerate
	R = (1, 56, 2, 60, 6, 66, 12, 69, 15, 74, 20, 79, 25, 81, 27, 86, 32, 91, 37, 93, 39, 98, 44, 103, 49, 105, 51, 107, 53, 102, 48, 100, 46, 95, 41, 90, 36, 88, 34, 83, 29, 78, 24, 76, 22, 71, 17, 64, 10, 67, 13, 59, 5, 55)(3, 63, 9, 70, 16, 72, 18, 77, 23, 82, 28, 84, 30, 89, 35, 94, 40, 96, 42, 101, 47, 106, 52, 108, 54, 104, 50, 99, 45, 97, 43, 92, 38, 87, 33, 85, 31, 80, 26, 75, 21, 73, 19, 68, 14, 62, 8, 58, 4, 65, 11, 61, 7, 57)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 11)(8, 15)(10, 18)(13, 16)(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, 53)(55, 58)(56, 62)(57, 64)(59, 65)(60, 68)(61, 67)(63, 71)(66, 73)(69, 75)(70, 76)(72, 78)(74, 80)(77, 83)(79, 85)(81, 87)(82, 88)(84, 90)(86, 92)(89, 95)(91, 97)(93, 99)(94, 100)(96, 102)(98, 104)(101, 107)(103, 108)(105, 106)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.734
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.737 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 27, 27})
Quotient :: halfedge^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|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)^9, 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 * Y2 * Y3 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 56, 2, 60, 6, 64, 10, 69, 15, 74, 20, 76, 22, 81, 27, 86, 32, 88, 34, 93, 39, 98, 44, 100, 46, 105, 51, 108, 54, 103, 49, 101, 47, 96, 42, 91, 37, 89, 35, 84, 30, 79, 25, 77, 23, 72, 18, 66, 12, 67, 13, 59, 5, 55)(3, 63, 9, 62, 8, 58, 4, 65, 11, 71, 17, 73, 19, 78, 24, 83, 29, 85, 31, 90, 36, 95, 41, 97, 43, 102, 48, 107, 53, 106, 52, 104, 50, 99, 45, 94, 40, 92, 38, 87, 33, 82, 28, 80, 26, 75, 21, 70, 16, 68, 14, 61, 7, 57)
	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, 53)(55, 58)(56, 62)(57, 64)(59, 65)(60, 63)(61, 69)(66, 73)(67, 71)(68, 74)(70, 76)(72, 78)(75, 81)(77, 83)(79, 85)(80, 86)(82, 88)(84, 90)(87, 93)(89, 95)(91, 97)(92, 98)(94, 100)(96, 102)(99, 105)(101, 107)(103, 106)(104, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.735
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.738 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 27, 27})
Quotient :: halfedge^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y1^-1 * Y2)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, R * Y3 * R * Y2, (Y3 * Y2)^3, Y1^5 * Y3 * Y1^-4 * Y2, Y1^2 * Y3 * Y2 * Y1^3 * Y3 * Y1^-2 * Y3 * Y1^2, Y1^4 * Y2 * Y1^-2 * Y3 * Y1 * Y2 * Y1^-2 * Y3, (Y2 * Y1 * Y3)^27 ]
Map:: non-degenerate
	R = (1, 56, 2, 60, 6, 68, 14, 79, 25, 91, 37, 98, 44, 86, 32, 74, 20, 64, 10, 71, 17, 82, 28, 94, 40, 104, 50, 108, 54, 101, 47, 89, 35, 77, 23, 66, 12, 72, 18, 83, 29, 95, 41, 102, 48, 90, 36, 78, 24, 67, 13, 59, 5, 55)(3, 63, 9, 73, 19, 85, 31, 97, 43, 93, 39, 81, 27, 70, 16, 62, 8, 58, 4, 65, 11, 76, 22, 88, 34, 100, 46, 107, 53, 105, 51, 96, 42, 84, 30, 75, 21, 87, 33, 99, 45, 106, 52, 103, 49, 92, 38, 80, 26, 69, 15, 61, 7, 57)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 26)(16, 29)(17, 30)(20, 33)(22, 35)(24, 31)(25, 38)(27, 41)(28, 42)(32, 45)(34, 47)(36, 43)(37, 49)(39, 48)(40, 51)(44, 52)(46, 54)(50, 53)(55, 58)(56, 62)(57, 64)(59, 65)(60, 70)(61, 71)(63, 74)(66, 75)(67, 76)(68, 81)(69, 82)(72, 84)(73, 86)(77, 87)(78, 88)(79, 93)(80, 94)(83, 96)(85, 98)(89, 99)(90, 100)(91, 97)(92, 104)(95, 105)(101, 106)(102, 107)(103, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.733
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.739 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 27, 27})
Quotient :: edge^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 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, Y3^27 ]
Map::
	R = (1, 55, 3, 57, 7, 61, 11, 65, 15, 69, 19, 73, 23, 77, 27, 81, 31, 85, 35, 89, 39, 93, 43, 97, 47, 101, 51, 105, 52, 106, 48, 102, 44, 98, 40, 94, 36, 90, 32, 86, 28, 82, 24, 78, 20, 74, 16, 70, 12, 66, 8, 62, 4, 58)(2, 56, 5, 59, 9, 63, 13, 67, 17, 71, 21, 75, 25, 79, 29, 83, 33, 87, 37, 91, 41, 95, 45, 99, 49, 103, 53, 107, 54, 108, 50, 104, 46, 100, 42, 96, 38, 92, 34, 88, 30, 84, 26, 80, 22, 76, 18, 72, 14, 68, 10, 64, 6, 60)(109, 110)(111, 114)(112, 113)(115, 118)(116, 117)(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, 146)(144, 145)(147, 150)(148, 149)(151, 154)(152, 153)(155, 158)(156, 157)(159, 162)(160, 161)(163, 164)(165, 168)(166, 167)(169, 172)(170, 171)(173, 176)(174, 175)(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, 204)(202, 203)(205, 208)(206, 207)(209, 212)(210, 211)(213, 216)(214, 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) :: { ( 108, 108 ), ( 108^54 ) }
Outer automorphisms :: reflexible
Dual of E26.749
Graph:: simple bipartite
	v = 56 e = 108 f = 2
	degree seq :: [ 2^54, 54^2 ]

E26.740 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 27, 27})
Quotient :: edge^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 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 * Y3^3 * Y2 * Y3^-8, (Y3 * Y1 * Y2)^27 ]
Map::
	R = (1, 55, 4, 58, 12, 66, 24, 78, 32, 86, 40, 94, 48, 102, 51, 105, 43, 97, 35, 89, 27, 81, 16, 70, 6, 60, 15, 69, 21, 75, 9, 63, 20, 74, 30, 84, 38, 92, 46, 100, 54, 108, 49, 103, 41, 95, 33, 87, 25, 79, 13, 67, 5, 59)(2, 56, 7, 61, 17, 71, 28, 82, 36, 90, 44, 98, 52, 106, 47, 101, 39, 93, 31, 85, 23, 77, 11, 65, 3, 57, 10, 64, 22, 76, 14, 68, 26, 80, 34, 88, 42, 96, 50, 104, 53, 107, 45, 99, 37, 91, 29, 83, 19, 73, 18, 72, 8, 62)(109, 110)(111, 117)(112, 116)(113, 115)(114, 122)(118, 129)(119, 128)(120, 126)(121, 125)(123, 130)(124, 134)(127, 132)(131, 138)(133, 136)(135, 142)(137, 140)(139, 146)(141, 144)(143, 150)(145, 148)(147, 154)(149, 152)(151, 158)(153, 156)(155, 162)(157, 160)(159, 161)(163, 165)(164, 168)(166, 173)(167, 172)(169, 178)(170, 177)(171, 181)(174, 185)(175, 184)(176, 187)(179, 189)(180, 183)(182, 191)(186, 193)(188, 195)(190, 197)(192, 199)(194, 201)(196, 203)(198, 205)(200, 207)(202, 209)(204, 211)(206, 213)(208, 215)(210, 214)(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) :: { ( 108, 108 ), ( 108^54 ) }
Outer automorphisms :: reflexible
Dual of E26.755
Graph:: simple bipartite
	v = 56 e = 108 f = 2
	degree seq :: [ 2^54, 54^2 ]

E26.741 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 27, 27})
Quotient :: edge^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y1 * Y3)^2, (Y3 * Y2)^2, (Y2 * Y1)^3, Y3^7 * Y1 * Y3^-2 * Y2, Y1 * Y3 * Y2 * Y3^-3 * Y1 * Y3^5 * 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 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-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, 55, 4, 58, 12, 66, 23, 77, 35, 89, 47, 101, 44, 98, 32, 86, 20, 74, 9, 63, 19, 73, 31, 85, 43, 97, 53, 107, 51, 105, 40, 94, 28, 82, 16, 70, 6, 60, 15, 69, 27, 81, 39, 93, 48, 102, 36, 90, 24, 78, 13, 67, 5, 59)(2, 56, 7, 61, 17, 71, 29, 83, 41, 95, 52, 106, 50, 104, 38, 92, 26, 80, 14, 68, 25, 79, 37, 91, 49, 103, 54, 108, 46, 100, 34, 88, 22, 76, 11, 65, 3, 57, 10, 64, 21, 75, 33, 87, 45, 99, 42, 96, 30, 84, 18, 72, 8, 62)(109, 110)(111, 117)(112, 116)(113, 115)(114, 122)(118, 128)(119, 127)(120, 126)(121, 125)(123, 134)(124, 133)(129, 140)(130, 139)(131, 138)(132, 137)(135, 146)(136, 145)(141, 152)(142, 151)(143, 150)(144, 149)(147, 158)(148, 157)(153, 155)(154, 161)(156, 160)(159, 162)(163, 165)(164, 168)(166, 173)(167, 172)(169, 178)(170, 177)(171, 176)(174, 184)(175, 183)(179, 190)(180, 189)(181, 188)(182, 187)(185, 196)(186, 195)(191, 202)(192, 201)(193, 200)(194, 199)(197, 208)(198, 207)(203, 213)(204, 210)(205, 212)(206, 211)(209, 216)(214, 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) :: { ( 108, 108 ), ( 108^54 ) }
Outer automorphisms :: reflexible
Dual of E26.757
Graph:: simple bipartite
	v = 56 e = 108 f = 2
	degree seq :: [ 2^54, 54^2 ]

E26.742 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 27, 27})
Quotient :: edge^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y3)^2, (Y3 * Y2)^2, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y3 * Y2 * Y3^-3, Y3 * Y1 * Y3^-2 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * 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 ]
Map::
	R = (1, 55, 4, 58, 12, 66, 16, 70, 6, 60, 15, 69, 26, 80, 33, 87, 23, 77, 32, 86, 42, 96, 49, 103, 39, 93, 48, 102, 53, 107, 43, 97, 52, 106, 46, 100, 37, 91, 27, 81, 36, 90, 30, 84, 21, 75, 9, 63, 20, 74, 13, 67, 5, 59)(2, 56, 7, 61, 17, 71, 11, 65, 3, 57, 10, 64, 22, 76, 29, 83, 19, 73, 28, 82, 38, 92, 45, 99, 35, 89, 44, 98, 54, 108, 47, 101, 51, 105, 50, 104, 41, 95, 31, 85, 40, 94, 34, 88, 25, 79, 14, 68, 24, 78, 18, 72, 8, 62)(109, 110)(111, 117)(112, 116)(113, 115)(114, 122)(118, 129)(119, 128)(120, 126)(121, 125)(123, 133)(124, 132)(127, 135)(130, 138)(131, 139)(134, 142)(136, 145)(137, 144)(140, 149)(141, 148)(143, 151)(146, 154)(147, 155)(150, 158)(152, 161)(153, 160)(156, 162)(157, 159)(163, 165)(164, 168)(166, 173)(167, 172)(169, 178)(170, 177)(171, 181)(174, 179)(175, 184)(176, 185)(180, 188)(182, 191)(183, 190)(186, 195)(187, 194)(189, 197)(192, 200)(193, 201)(196, 204)(198, 207)(199, 206)(202, 211)(203, 210)(205, 213)(208, 216)(209, 214)(212, 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) :: { ( 108, 108 ), ( 108^54 ) }
Outer automorphisms :: reflexible
Dual of E26.754
Graph:: simple bipartite
	v = 56 e = 108 f = 2
	degree seq :: [ 2^54, 54^2 ]

E26.743 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 27, 27})
Quotient :: edge^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, Y3^-1 * Y1 * Y3^2 * Y2 * Y1 * Y2 * Y1 * Y2, Y3^-2 * Y2 * Y3^6 * Y1, (Y3 * Y1 * Y2)^27 ]
Map::
	R = (1, 55, 4, 58, 12, 66, 24, 78, 40, 94, 49, 103, 37, 91, 21, 75, 9, 63, 20, 74, 36, 90, 26, 80, 42, 96, 51, 105, 53, 107, 47, 101, 33, 87, 30, 84, 16, 70, 6, 60, 15, 69, 29, 83, 44, 98, 41, 95, 25, 79, 13, 67, 5, 59)(2, 56, 7, 61, 17, 71, 31, 85, 45, 99, 52, 106, 43, 97, 28, 82, 14, 68, 27, 81, 35, 89, 19, 73, 34, 88, 48, 102, 54, 108, 50, 104, 39, 93, 23, 77, 11, 65, 3, 57, 10, 64, 22, 76, 38, 92, 46, 100, 32, 86, 18, 72, 8, 62)(109, 110)(111, 117)(112, 116)(113, 115)(114, 122)(118, 129)(119, 128)(120, 126)(121, 125)(123, 136)(124, 135)(127, 141)(130, 145)(131, 144)(132, 140)(133, 139)(134, 147)(137, 151)(138, 143)(142, 155)(146, 157)(148, 154)(149, 153)(150, 158)(152, 160)(156, 161)(159, 162)(163, 165)(164, 168)(166, 173)(167, 172)(169, 178)(170, 177)(171, 181)(174, 185)(175, 184)(176, 188)(179, 192)(180, 191)(182, 197)(183, 196)(186, 201)(187, 200)(189, 198)(190, 204)(193, 195)(194, 206)(199, 210)(202, 212)(203, 208)(205, 213)(207, 209)(211, 216)(214, 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) :: { ( 108, 108 ), ( 108^54 ) }
Outer automorphisms :: reflexible
Dual of E26.756
Graph:: simple bipartite
	v = 56 e = 108 f = 2
	degree seq :: [ 2^54, 54^2 ]

E26.744 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 27, 27})
Quotient :: edge^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 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, Y3^4 * Y1 * Y2 * Y3^8, (Y3 * Y1 * Y2)^27 ]
Map::
	R = (1, 55, 4, 58, 12, 66, 24, 78, 32, 86, 40, 94, 48, 102, 54, 108, 46, 100, 38, 92, 30, 84, 21, 75, 9, 63, 20, 74, 16, 70, 6, 60, 15, 69, 27, 81, 35, 89, 43, 97, 51, 105, 49, 103, 41, 95, 33, 87, 25, 79, 13, 67, 5, 59)(2, 56, 7, 61, 17, 71, 19, 73, 29, 83, 37, 91, 45, 99, 53, 107, 50, 104, 42, 96, 34, 88, 26, 80, 14, 68, 23, 77, 11, 65, 3, 57, 10, 64, 22, 76, 31, 85, 39, 93, 47, 101, 52, 106, 44, 98, 36, 90, 28, 82, 18, 72, 8, 62)(109, 110)(111, 117)(112, 116)(113, 115)(114, 122)(118, 129)(119, 128)(120, 126)(121, 125)(123, 134)(124, 131)(127, 133)(130, 138)(132, 136)(135, 142)(137, 141)(139, 146)(140, 144)(143, 150)(145, 149)(147, 154)(148, 152)(151, 158)(153, 157)(155, 162)(156, 160)(159, 161)(163, 165)(164, 168)(166, 173)(167, 172)(169, 178)(170, 177)(171, 181)(174, 185)(175, 184)(176, 186)(179, 182)(180, 189)(183, 191)(187, 193)(188, 194)(190, 197)(192, 199)(195, 201)(196, 202)(198, 205)(200, 207)(203, 209)(204, 210)(206, 213)(208, 215)(211, 214)(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) :: { ( 108, 108 ), ( 108^54 ) }
Outer automorphisms :: reflexible
Dual of E26.752
Graph:: simple bipartite
	v = 56 e = 108 f = 2
	degree seq :: [ 2^54, 54^2 ]

E26.745 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 27, 27})
Quotient :: edge^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y3^-1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, Y3 * Y1 * Y3^-1 * Y2 * Y3, (Y2 * Y1)^9 ]
Map::
	R = (1, 55, 4, 58, 12, 66, 9, 63, 18, 72, 25, 79, 23, 77, 30, 84, 37, 91, 35, 89, 42, 96, 49, 103, 47, 101, 53, 107, 51, 105, 44, 98, 46, 100, 39, 93, 32, 86, 34, 88, 27, 81, 20, 74, 22, 76, 15, 69, 6, 60, 13, 67, 5, 59)(2, 56, 7, 61, 16, 70, 14, 68, 21, 75, 28, 82, 26, 80, 33, 87, 40, 94, 38, 92, 45, 99, 52, 106, 50, 104, 54, 108, 48, 102, 41, 95, 43, 97, 36, 90, 29, 83, 31, 85, 24, 78, 17, 71, 19, 73, 11, 65, 3, 57, 10, 64, 8, 62)(109, 110)(111, 117)(112, 116)(113, 115)(114, 122)(118, 120)(119, 126)(121, 124)(123, 129)(125, 131)(127, 133)(128, 134)(130, 136)(132, 138)(135, 141)(137, 143)(139, 145)(140, 146)(142, 148)(144, 150)(147, 153)(149, 155)(151, 157)(152, 158)(154, 160)(156, 161)(159, 162)(163, 165)(164, 168)(166, 173)(167, 172)(169, 177)(170, 175)(171, 179)(174, 181)(176, 182)(178, 184)(180, 186)(183, 189)(185, 191)(187, 193)(188, 194)(190, 196)(192, 198)(195, 201)(197, 203)(199, 205)(200, 206)(202, 208)(204, 210)(207, 213)(209, 212)(211, 216)(214, 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) :: { ( 108, 108 ), ( 108^54 ) }
Outer automorphisms :: reflexible
Dual of E26.750
Graph:: simple bipartite
	v = 56 e = 108 f = 2
	degree seq :: [ 2^54, 54^2 ]

E26.746 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 27, 27})
Quotient :: edge^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y3)^2, (R * Y3)^2, R * Y2 * R * Y1, (Y3^-1 * Y2)^2, Y3^-1 * Y1 * Y3 * Y2 * Y3^-1, (Y1 * Y2)^9, 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 ]
Map::
	R = (1, 55, 4, 58, 12, 66, 6, 60, 15, 69, 22, 76, 20, 74, 27, 81, 34, 88, 32, 86, 39, 93, 46, 100, 44, 98, 51, 105, 53, 107, 47, 101, 49, 103, 42, 96, 35, 89, 37, 91, 30, 84, 23, 77, 25, 79, 18, 72, 9, 63, 13, 67, 5, 59)(2, 56, 7, 61, 11, 65, 3, 57, 10, 64, 19, 73, 17, 71, 24, 78, 31, 85, 29, 83, 36, 90, 43, 97, 41, 95, 48, 102, 54, 108, 50, 104, 52, 106, 45, 99, 38, 92, 40, 94, 33, 87, 26, 80, 28, 82, 21, 75, 14, 68, 16, 70, 8, 62)(109, 110)(111, 117)(112, 116)(113, 115)(114, 122)(118, 126)(119, 121)(120, 124)(123, 129)(125, 131)(127, 133)(128, 134)(130, 136)(132, 138)(135, 141)(137, 143)(139, 145)(140, 146)(142, 148)(144, 150)(147, 153)(149, 155)(151, 157)(152, 158)(154, 160)(156, 161)(159, 162)(163, 165)(164, 168)(166, 173)(167, 172)(169, 174)(170, 177)(171, 179)(175, 181)(176, 182)(178, 184)(180, 186)(183, 189)(185, 191)(187, 193)(188, 194)(190, 196)(192, 198)(195, 201)(197, 203)(199, 205)(200, 206)(202, 208)(204, 210)(207, 213)(209, 212)(211, 216)(214, 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) :: { ( 108, 108 ), ( 108^54 ) }
Outer automorphisms :: reflexible
Dual of E26.753
Graph:: simple bipartite
	v = 56 e = 108 f = 2
	degree seq :: [ 2^54, 54^2 ]

E26.747 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 27, 27})
Quotient :: edge^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, (Y3 * Y2)^2, (Y2 * Y1)^3, Y2 * Y3^-9 * Y1, Y1 * Y3^-4 * Y2 * Y1 * Y3^-5 * 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 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-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, 55, 4, 58, 12, 66, 23, 77, 35, 89, 47, 101, 40, 94, 28, 82, 16, 70, 6, 60, 15, 69, 27, 81, 39, 93, 51, 105, 53, 107, 44, 98, 32, 86, 20, 74, 9, 63, 19, 73, 31, 85, 43, 97, 48, 102, 36, 90, 24, 78, 13, 67, 5, 59)(2, 56, 7, 61, 17, 71, 29, 83, 41, 95, 46, 100, 34, 88, 22, 76, 11, 65, 3, 57, 10, 64, 21, 75, 33, 87, 45, 99, 54, 108, 50, 104, 38, 92, 26, 80, 14, 68, 25, 79, 37, 91, 49, 103, 52, 106, 42, 96, 30, 84, 18, 72, 8, 62)(109, 110)(111, 117)(112, 116)(113, 115)(114, 122)(118, 128)(119, 127)(120, 126)(121, 125)(123, 134)(124, 133)(129, 140)(130, 139)(131, 138)(132, 137)(135, 146)(136, 145)(141, 152)(142, 151)(143, 150)(144, 149)(147, 158)(148, 157)(153, 161)(154, 156)(155, 160)(159, 162)(163, 165)(164, 168)(166, 173)(167, 172)(169, 178)(170, 177)(171, 176)(174, 184)(175, 183)(179, 190)(180, 189)(181, 188)(182, 187)(185, 196)(186, 195)(191, 202)(192, 201)(193, 200)(194, 199)(197, 208)(198, 207)(203, 209)(204, 213)(205, 212)(206, 211)(210, 216)(214, 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) :: { ( 108, 108 ), ( 108^54 ) }
Outer automorphisms :: reflexible
Dual of E26.751
Graph:: simple bipartite
	v = 56 e = 108 f = 2
	degree seq :: [ 2^54, 54^2 ]

E26.748 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 27, 27})
Quotient :: edge^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y2 * Y3 * Y1^-1, Y1^27, Y2^27 ]
Map:: non-degenerate
	R = (1, 55, 4, 58)(2, 56, 6, 60)(3, 57, 8, 62)(5, 59, 10, 64)(7, 61, 12, 66)(9, 63, 14, 68)(11, 65, 16, 70)(13, 67, 18, 72)(15, 69, 20, 74)(17, 71, 22, 76)(19, 73, 24, 78)(21, 75, 26, 80)(23, 77, 28, 82)(25, 79, 30, 84)(27, 81, 32, 86)(29, 83, 34, 88)(31, 85, 36, 90)(33, 87, 38, 92)(35, 89, 40, 94)(37, 91, 42, 96)(39, 93, 44, 98)(41, 95, 46, 100)(43, 97, 48, 102)(45, 99, 50, 104)(47, 101, 52, 106)(49, 103, 53, 107)(51, 105, 54, 108)(109, 110, 113, 117, 121, 125, 129, 133, 137, 141, 145, 149, 153, 157, 159, 155, 151, 147, 143, 139, 135, 131, 127, 123, 119, 115, 111)(112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 162, 161, 158, 154, 150, 146, 142, 138, 134, 130, 126, 122, 118, 114)(163, 165, 169, 173, 177, 181, 185, 189, 193, 197, 201, 205, 209, 213, 211, 207, 203, 199, 195, 191, 187, 183, 179, 175, 171, 167, 164)(166, 168, 172, 176, 180, 184, 188, 192, 196, 200, 204, 208, 212, 215, 216, 214, 210, 206, 202, 198, 194, 190, 186, 182, 178, 174, 170)
	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) :: { ( 8^4 ), ( 8^27 ) }
Outer automorphisms :: reflexible
Dual of E26.758
Graph:: simple bipartite
	v = 31 e = 108 f = 27
	degree seq :: [ 4^27, 27^4 ]

E26.749 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 27, 27})
Quotient :: loop^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 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, Y3^27 ]
Map::
	R = (1, 55, 109, 163, 3, 57, 111, 165, 7, 61, 115, 169, 11, 65, 119, 173, 15, 69, 123, 177, 19, 73, 127, 181, 23, 77, 131, 185, 27, 81, 135, 189, 31, 85, 139, 193, 35, 89, 143, 197, 39, 93, 147, 201, 43, 97, 151, 205, 47, 101, 155, 209, 51, 105, 159, 213, 52, 106, 160, 214, 48, 102, 156, 210, 44, 98, 152, 206, 40, 94, 148, 202, 36, 90, 144, 198, 32, 86, 140, 194, 28, 82, 136, 190, 24, 78, 132, 186, 20, 74, 128, 182, 16, 70, 124, 178, 12, 66, 120, 174, 8, 62, 116, 170, 4, 58, 112, 166)(2, 56, 110, 164, 5, 59, 113, 167, 9, 63, 117, 171, 13, 67, 121, 175, 17, 71, 125, 179, 21, 75, 129, 183, 25, 79, 133, 187, 29, 83, 137, 191, 33, 87, 141, 195, 37, 91, 145, 199, 41, 95, 149, 203, 45, 99, 153, 207, 49, 103, 157, 211, 53, 107, 161, 215, 54, 108, 162, 216, 50, 104, 158, 212, 46, 100, 154, 208, 42, 96, 150, 204, 38, 92, 146, 200, 34, 88, 142, 196, 30, 84, 138, 192, 26, 80, 134, 188, 22, 76, 130, 184, 18, 72, 126, 180, 14, 68, 122, 176, 10, 64, 118, 172, 6, 60, 114, 168)
	L = (1, 56)(2, 55)(3, 60)(4, 59)(5, 58)(6, 57)(7, 64)(8, 63)(9, 62)(10, 61)(11, 68)(12, 67)(13, 66)(14, 65)(15, 72)(16, 71)(17, 70)(18, 69)(19, 76)(20, 75)(21, 74)(22, 73)(23, 80)(24, 79)(25, 78)(26, 77)(27, 84)(28, 83)(29, 82)(30, 81)(31, 88)(32, 87)(33, 86)(34, 85)(35, 92)(36, 91)(37, 90)(38, 89)(39, 96)(40, 95)(41, 94)(42, 93)(43, 100)(44, 99)(45, 98)(46, 97)(47, 104)(48, 103)(49, 102)(50, 101)(51, 108)(52, 107)(53, 106)(54, 105)(109, 164)(110, 163)(111, 168)(112, 167)(113, 166)(114, 165)(115, 172)(116, 171)(117, 170)(118, 169)(119, 176)(120, 175)(121, 174)(122, 173)(123, 180)(124, 179)(125, 178)(126, 177)(127, 184)(128, 183)(129, 182)(130, 181)(131, 188)(132, 187)(133, 186)(134, 185)(135, 192)(136, 191)(137, 190)(138, 189)(139, 196)(140, 195)(141, 194)(142, 193)(143, 200)(144, 199)(145, 198)(146, 197)(147, 204)(148, 203)(149, 202)(150, 201)(151, 208)(152, 207)(153, 206)(154, 205)(155, 212)(156, 211)(157, 210)(158, 209)(159, 216)(160, 215)(161, 214)(162, 213)
	local type(s) :: { ( 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.739
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 108 f = 56
	degree seq :: [ 108^2 ]

E26.750 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 27, 27})
Quotient :: loop^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 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 * Y3^3 * Y2 * Y3^-8, (Y3 * Y1 * Y2)^27 ]
Map::
	R = (1, 55, 109, 163, 4, 58, 112, 166, 12, 66, 120, 174, 24, 78, 132, 186, 32, 86, 140, 194, 40, 94, 148, 202, 48, 102, 156, 210, 51, 105, 159, 213, 43, 97, 151, 205, 35, 89, 143, 197, 27, 81, 135, 189, 16, 70, 124, 178, 6, 60, 114, 168, 15, 69, 123, 177, 21, 75, 129, 183, 9, 63, 117, 171, 20, 74, 128, 182, 30, 84, 138, 192, 38, 92, 146, 200, 46, 100, 154, 208, 54, 108, 162, 216, 49, 103, 157, 211, 41, 95, 149, 203, 33, 87, 141, 195, 25, 79, 133, 187, 13, 67, 121, 175, 5, 59, 113, 167)(2, 56, 110, 164, 7, 61, 115, 169, 17, 71, 125, 179, 28, 82, 136, 190, 36, 90, 144, 198, 44, 98, 152, 206, 52, 106, 160, 214, 47, 101, 155, 209, 39, 93, 147, 201, 31, 85, 139, 193, 23, 77, 131, 185, 11, 65, 119, 173, 3, 57, 111, 165, 10, 64, 118, 172, 22, 76, 130, 184, 14, 68, 122, 176, 26, 80, 134, 188, 34, 88, 142, 196, 42, 96, 150, 204, 50, 104, 158, 212, 53, 107, 161, 215, 45, 99, 153, 207, 37, 91, 145, 199, 29, 83, 137, 191, 19, 73, 127, 181, 18, 72, 126, 180, 8, 62, 116, 170)
	L = (1, 56)(2, 55)(3, 63)(4, 62)(5, 61)(6, 68)(7, 59)(8, 58)(9, 57)(10, 75)(11, 74)(12, 72)(13, 71)(14, 60)(15, 76)(16, 80)(17, 67)(18, 66)(19, 78)(20, 65)(21, 64)(22, 69)(23, 84)(24, 73)(25, 82)(26, 70)(27, 88)(28, 79)(29, 86)(30, 77)(31, 92)(32, 83)(33, 90)(34, 81)(35, 96)(36, 87)(37, 94)(38, 85)(39, 100)(40, 91)(41, 98)(42, 89)(43, 104)(44, 95)(45, 102)(46, 93)(47, 108)(48, 99)(49, 106)(50, 97)(51, 107)(52, 103)(53, 105)(54, 101)(109, 165)(110, 168)(111, 163)(112, 173)(113, 172)(114, 164)(115, 178)(116, 177)(117, 181)(118, 167)(119, 166)(120, 185)(121, 184)(122, 187)(123, 170)(124, 169)(125, 189)(126, 183)(127, 171)(128, 191)(129, 180)(130, 175)(131, 174)(132, 193)(133, 176)(134, 195)(135, 179)(136, 197)(137, 182)(138, 199)(139, 186)(140, 201)(141, 188)(142, 203)(143, 190)(144, 205)(145, 192)(146, 207)(147, 194)(148, 209)(149, 196)(150, 211)(151, 198)(152, 213)(153, 200)(154, 215)(155, 202)(156, 214)(157, 204)(158, 216)(159, 206)(160, 210)(161, 208)(162, 212)
	local type(s) :: { ( 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.745
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 108 f = 56
	degree seq :: [ 108^2 ]

E26.751 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 27, 27})
Quotient :: loop^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y1 * Y3)^2, (Y3 * Y2)^2, (Y2 * Y1)^3, Y3^7 * Y1 * Y3^-2 * Y2, Y1 * Y3 * Y2 * Y3^-3 * Y1 * Y3^5 * 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 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-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, 55, 109, 163, 4, 58, 112, 166, 12, 66, 120, 174, 23, 77, 131, 185, 35, 89, 143, 197, 47, 101, 155, 209, 44, 98, 152, 206, 32, 86, 140, 194, 20, 74, 128, 182, 9, 63, 117, 171, 19, 73, 127, 181, 31, 85, 139, 193, 43, 97, 151, 205, 53, 107, 161, 215, 51, 105, 159, 213, 40, 94, 148, 202, 28, 82, 136, 190, 16, 70, 124, 178, 6, 60, 114, 168, 15, 69, 123, 177, 27, 81, 135, 189, 39, 93, 147, 201, 48, 102, 156, 210, 36, 90, 144, 198, 24, 78, 132, 186, 13, 67, 121, 175, 5, 59, 113, 167)(2, 56, 110, 164, 7, 61, 115, 169, 17, 71, 125, 179, 29, 83, 137, 191, 41, 95, 149, 203, 52, 106, 160, 214, 50, 104, 158, 212, 38, 92, 146, 200, 26, 80, 134, 188, 14, 68, 122, 176, 25, 79, 133, 187, 37, 91, 145, 199, 49, 103, 157, 211, 54, 108, 162, 216, 46, 100, 154, 208, 34, 88, 142, 196, 22, 76, 130, 184, 11, 65, 119, 173, 3, 57, 111, 165, 10, 64, 118, 172, 21, 75, 129, 183, 33, 87, 141, 195, 45, 99, 153, 207, 42, 96, 150, 204, 30, 84, 138, 192, 18, 72, 126, 180, 8, 62, 116, 170)
	L = (1, 56)(2, 55)(3, 63)(4, 62)(5, 61)(6, 68)(7, 59)(8, 58)(9, 57)(10, 74)(11, 73)(12, 72)(13, 71)(14, 60)(15, 80)(16, 79)(17, 67)(18, 66)(19, 65)(20, 64)(21, 86)(22, 85)(23, 84)(24, 83)(25, 70)(26, 69)(27, 92)(28, 91)(29, 78)(30, 77)(31, 76)(32, 75)(33, 98)(34, 97)(35, 96)(36, 95)(37, 82)(38, 81)(39, 104)(40, 103)(41, 90)(42, 89)(43, 88)(44, 87)(45, 101)(46, 107)(47, 99)(48, 106)(49, 94)(50, 93)(51, 108)(52, 102)(53, 100)(54, 105)(109, 165)(110, 168)(111, 163)(112, 173)(113, 172)(114, 164)(115, 178)(116, 177)(117, 176)(118, 167)(119, 166)(120, 184)(121, 183)(122, 171)(123, 170)(124, 169)(125, 190)(126, 189)(127, 188)(128, 187)(129, 175)(130, 174)(131, 196)(132, 195)(133, 182)(134, 181)(135, 180)(136, 179)(137, 202)(138, 201)(139, 200)(140, 199)(141, 186)(142, 185)(143, 208)(144, 207)(145, 194)(146, 193)(147, 192)(148, 191)(149, 213)(150, 210)(151, 212)(152, 211)(153, 198)(154, 197)(155, 216)(156, 204)(157, 206)(158, 205)(159, 203)(160, 215)(161, 214)(162, 209)
	local type(s) :: { ( 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.747
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 108 f = 56
	degree seq :: [ 108^2 ]

E26.752 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 27, 27})
Quotient :: loop^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y3)^2, (Y3 * Y2)^2, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y3 * Y2 * Y3^-3, Y3 * Y1 * Y3^-2 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * 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 ]
Map::
	R = (1, 55, 109, 163, 4, 58, 112, 166, 12, 66, 120, 174, 16, 70, 124, 178, 6, 60, 114, 168, 15, 69, 123, 177, 26, 80, 134, 188, 33, 87, 141, 195, 23, 77, 131, 185, 32, 86, 140, 194, 42, 96, 150, 204, 49, 103, 157, 211, 39, 93, 147, 201, 48, 102, 156, 210, 53, 107, 161, 215, 43, 97, 151, 205, 52, 106, 160, 214, 46, 100, 154, 208, 37, 91, 145, 199, 27, 81, 135, 189, 36, 90, 144, 198, 30, 84, 138, 192, 21, 75, 129, 183, 9, 63, 117, 171, 20, 74, 128, 182, 13, 67, 121, 175, 5, 59, 113, 167)(2, 56, 110, 164, 7, 61, 115, 169, 17, 71, 125, 179, 11, 65, 119, 173, 3, 57, 111, 165, 10, 64, 118, 172, 22, 76, 130, 184, 29, 83, 137, 191, 19, 73, 127, 181, 28, 82, 136, 190, 38, 92, 146, 200, 45, 99, 153, 207, 35, 89, 143, 197, 44, 98, 152, 206, 54, 108, 162, 216, 47, 101, 155, 209, 51, 105, 159, 213, 50, 104, 158, 212, 41, 95, 149, 203, 31, 85, 139, 193, 40, 94, 148, 202, 34, 88, 142, 196, 25, 79, 133, 187, 14, 68, 122, 176, 24, 78, 132, 186, 18, 72, 126, 180, 8, 62, 116, 170)
	L = (1, 56)(2, 55)(3, 63)(4, 62)(5, 61)(6, 68)(7, 59)(8, 58)(9, 57)(10, 75)(11, 74)(12, 72)(13, 71)(14, 60)(15, 79)(16, 78)(17, 67)(18, 66)(19, 81)(20, 65)(21, 64)(22, 84)(23, 85)(24, 70)(25, 69)(26, 88)(27, 73)(28, 91)(29, 90)(30, 76)(31, 77)(32, 95)(33, 94)(34, 80)(35, 97)(36, 83)(37, 82)(38, 100)(39, 101)(40, 87)(41, 86)(42, 104)(43, 89)(44, 107)(45, 106)(46, 92)(47, 93)(48, 108)(49, 105)(50, 96)(51, 103)(52, 99)(53, 98)(54, 102)(109, 165)(110, 168)(111, 163)(112, 173)(113, 172)(114, 164)(115, 178)(116, 177)(117, 181)(118, 167)(119, 166)(120, 179)(121, 184)(122, 185)(123, 170)(124, 169)(125, 174)(126, 188)(127, 171)(128, 191)(129, 190)(130, 175)(131, 176)(132, 195)(133, 194)(134, 180)(135, 197)(136, 183)(137, 182)(138, 200)(139, 201)(140, 187)(141, 186)(142, 204)(143, 189)(144, 207)(145, 206)(146, 192)(147, 193)(148, 211)(149, 210)(150, 196)(151, 213)(152, 199)(153, 198)(154, 216)(155, 214)(156, 203)(157, 202)(158, 215)(159, 205)(160, 209)(161, 212)(162, 208)
	local type(s) :: { ( 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.744
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 108 f = 56
	degree seq :: [ 108^2 ]

E26.753 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 27, 27})
Quotient :: loop^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, Y3^-1 * Y1 * Y3^2 * Y2 * Y1 * Y2 * Y1 * Y2, Y3^-2 * Y2 * Y3^6 * Y1, (Y3 * Y1 * Y2)^27 ]
Map::
	R = (1, 55, 109, 163, 4, 58, 112, 166, 12, 66, 120, 174, 24, 78, 132, 186, 40, 94, 148, 202, 49, 103, 157, 211, 37, 91, 145, 199, 21, 75, 129, 183, 9, 63, 117, 171, 20, 74, 128, 182, 36, 90, 144, 198, 26, 80, 134, 188, 42, 96, 150, 204, 51, 105, 159, 213, 53, 107, 161, 215, 47, 101, 155, 209, 33, 87, 141, 195, 30, 84, 138, 192, 16, 70, 124, 178, 6, 60, 114, 168, 15, 69, 123, 177, 29, 83, 137, 191, 44, 98, 152, 206, 41, 95, 149, 203, 25, 79, 133, 187, 13, 67, 121, 175, 5, 59, 113, 167)(2, 56, 110, 164, 7, 61, 115, 169, 17, 71, 125, 179, 31, 85, 139, 193, 45, 99, 153, 207, 52, 106, 160, 214, 43, 97, 151, 205, 28, 82, 136, 190, 14, 68, 122, 176, 27, 81, 135, 189, 35, 89, 143, 197, 19, 73, 127, 181, 34, 88, 142, 196, 48, 102, 156, 210, 54, 108, 162, 216, 50, 104, 158, 212, 39, 93, 147, 201, 23, 77, 131, 185, 11, 65, 119, 173, 3, 57, 111, 165, 10, 64, 118, 172, 22, 76, 130, 184, 38, 92, 146, 200, 46, 100, 154, 208, 32, 86, 140, 194, 18, 72, 126, 180, 8, 62, 116, 170)
	L = (1, 56)(2, 55)(3, 63)(4, 62)(5, 61)(6, 68)(7, 59)(8, 58)(9, 57)(10, 75)(11, 74)(12, 72)(13, 71)(14, 60)(15, 82)(16, 81)(17, 67)(18, 66)(19, 87)(20, 65)(21, 64)(22, 91)(23, 90)(24, 86)(25, 85)(26, 93)(27, 70)(28, 69)(29, 97)(30, 89)(31, 79)(32, 78)(33, 73)(34, 101)(35, 84)(36, 77)(37, 76)(38, 103)(39, 80)(40, 100)(41, 99)(42, 104)(43, 83)(44, 106)(45, 95)(46, 94)(47, 88)(48, 107)(49, 92)(50, 96)(51, 108)(52, 98)(53, 102)(54, 105)(109, 165)(110, 168)(111, 163)(112, 173)(113, 172)(114, 164)(115, 178)(116, 177)(117, 181)(118, 167)(119, 166)(120, 185)(121, 184)(122, 188)(123, 170)(124, 169)(125, 192)(126, 191)(127, 171)(128, 197)(129, 196)(130, 175)(131, 174)(132, 201)(133, 200)(134, 176)(135, 198)(136, 204)(137, 180)(138, 179)(139, 195)(140, 206)(141, 193)(142, 183)(143, 182)(144, 189)(145, 210)(146, 187)(147, 186)(148, 212)(149, 208)(150, 190)(151, 213)(152, 194)(153, 209)(154, 203)(155, 207)(156, 199)(157, 216)(158, 202)(159, 205)(160, 215)(161, 214)(162, 211)
	local type(s) :: { ( 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.746
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 108 f = 56
	degree seq :: [ 108^2 ]

E26.754 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 27, 27})
Quotient :: loop^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 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, Y3^4 * Y1 * Y2 * Y3^8, (Y3 * Y1 * Y2)^27 ]
Map::
	R = (1, 55, 109, 163, 4, 58, 112, 166, 12, 66, 120, 174, 24, 78, 132, 186, 32, 86, 140, 194, 40, 94, 148, 202, 48, 102, 156, 210, 54, 108, 162, 216, 46, 100, 154, 208, 38, 92, 146, 200, 30, 84, 138, 192, 21, 75, 129, 183, 9, 63, 117, 171, 20, 74, 128, 182, 16, 70, 124, 178, 6, 60, 114, 168, 15, 69, 123, 177, 27, 81, 135, 189, 35, 89, 143, 197, 43, 97, 151, 205, 51, 105, 159, 213, 49, 103, 157, 211, 41, 95, 149, 203, 33, 87, 141, 195, 25, 79, 133, 187, 13, 67, 121, 175, 5, 59, 113, 167)(2, 56, 110, 164, 7, 61, 115, 169, 17, 71, 125, 179, 19, 73, 127, 181, 29, 83, 137, 191, 37, 91, 145, 199, 45, 99, 153, 207, 53, 107, 161, 215, 50, 104, 158, 212, 42, 96, 150, 204, 34, 88, 142, 196, 26, 80, 134, 188, 14, 68, 122, 176, 23, 77, 131, 185, 11, 65, 119, 173, 3, 57, 111, 165, 10, 64, 118, 172, 22, 76, 130, 184, 31, 85, 139, 193, 39, 93, 147, 201, 47, 101, 155, 209, 52, 106, 160, 214, 44, 98, 152, 206, 36, 90, 144, 198, 28, 82, 136, 190, 18, 72, 126, 180, 8, 62, 116, 170)
	L = (1, 56)(2, 55)(3, 63)(4, 62)(5, 61)(6, 68)(7, 59)(8, 58)(9, 57)(10, 75)(11, 74)(12, 72)(13, 71)(14, 60)(15, 80)(16, 77)(17, 67)(18, 66)(19, 79)(20, 65)(21, 64)(22, 84)(23, 70)(24, 82)(25, 73)(26, 69)(27, 88)(28, 78)(29, 87)(30, 76)(31, 92)(32, 90)(33, 83)(34, 81)(35, 96)(36, 86)(37, 95)(38, 85)(39, 100)(40, 98)(41, 91)(42, 89)(43, 104)(44, 94)(45, 103)(46, 93)(47, 108)(48, 106)(49, 99)(50, 97)(51, 107)(52, 102)(53, 105)(54, 101)(109, 165)(110, 168)(111, 163)(112, 173)(113, 172)(114, 164)(115, 178)(116, 177)(117, 181)(118, 167)(119, 166)(120, 185)(121, 184)(122, 186)(123, 170)(124, 169)(125, 182)(126, 189)(127, 171)(128, 179)(129, 191)(130, 175)(131, 174)(132, 176)(133, 193)(134, 194)(135, 180)(136, 197)(137, 183)(138, 199)(139, 187)(140, 188)(141, 201)(142, 202)(143, 190)(144, 205)(145, 192)(146, 207)(147, 195)(148, 196)(149, 209)(150, 210)(151, 198)(152, 213)(153, 200)(154, 215)(155, 203)(156, 204)(157, 214)(158, 216)(159, 206)(160, 211)(161, 208)(162, 212)
	local type(s) :: { ( 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.742
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 108 f = 56
	degree seq :: [ 108^2 ]

E26.755 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 27, 27})
Quotient :: loop^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y3^-1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, Y3 * Y1 * Y3^-1 * Y2 * Y3, (Y2 * Y1)^9 ]
Map::
	R = (1, 55, 109, 163, 4, 58, 112, 166, 12, 66, 120, 174, 9, 63, 117, 171, 18, 72, 126, 180, 25, 79, 133, 187, 23, 77, 131, 185, 30, 84, 138, 192, 37, 91, 145, 199, 35, 89, 143, 197, 42, 96, 150, 204, 49, 103, 157, 211, 47, 101, 155, 209, 53, 107, 161, 215, 51, 105, 159, 213, 44, 98, 152, 206, 46, 100, 154, 208, 39, 93, 147, 201, 32, 86, 140, 194, 34, 88, 142, 196, 27, 81, 135, 189, 20, 74, 128, 182, 22, 76, 130, 184, 15, 69, 123, 177, 6, 60, 114, 168, 13, 67, 121, 175, 5, 59, 113, 167)(2, 56, 110, 164, 7, 61, 115, 169, 16, 70, 124, 178, 14, 68, 122, 176, 21, 75, 129, 183, 28, 82, 136, 190, 26, 80, 134, 188, 33, 87, 141, 195, 40, 94, 148, 202, 38, 92, 146, 200, 45, 99, 153, 207, 52, 106, 160, 214, 50, 104, 158, 212, 54, 108, 162, 216, 48, 102, 156, 210, 41, 95, 149, 203, 43, 97, 151, 205, 36, 90, 144, 198, 29, 83, 137, 191, 31, 85, 139, 193, 24, 78, 132, 186, 17, 71, 125, 179, 19, 73, 127, 181, 11, 65, 119, 173, 3, 57, 111, 165, 10, 64, 118, 172, 8, 62, 116, 170)
	L = (1, 56)(2, 55)(3, 63)(4, 62)(5, 61)(6, 68)(7, 59)(8, 58)(9, 57)(10, 66)(11, 72)(12, 64)(13, 70)(14, 60)(15, 75)(16, 67)(17, 77)(18, 65)(19, 79)(20, 80)(21, 69)(22, 82)(23, 71)(24, 84)(25, 73)(26, 74)(27, 87)(28, 76)(29, 89)(30, 78)(31, 91)(32, 92)(33, 81)(34, 94)(35, 83)(36, 96)(37, 85)(38, 86)(39, 99)(40, 88)(41, 101)(42, 90)(43, 103)(44, 104)(45, 93)(46, 106)(47, 95)(48, 107)(49, 97)(50, 98)(51, 108)(52, 100)(53, 102)(54, 105)(109, 165)(110, 168)(111, 163)(112, 173)(113, 172)(114, 164)(115, 177)(116, 175)(117, 179)(118, 167)(119, 166)(120, 181)(121, 170)(122, 182)(123, 169)(124, 184)(125, 171)(126, 186)(127, 174)(128, 176)(129, 189)(130, 178)(131, 191)(132, 180)(133, 193)(134, 194)(135, 183)(136, 196)(137, 185)(138, 198)(139, 187)(140, 188)(141, 201)(142, 190)(143, 203)(144, 192)(145, 205)(146, 206)(147, 195)(148, 208)(149, 197)(150, 210)(151, 199)(152, 200)(153, 213)(154, 202)(155, 212)(156, 204)(157, 216)(158, 209)(159, 207)(160, 215)(161, 214)(162, 211)
	local type(s) :: { ( 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.740
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 108 f = 56
	degree seq :: [ 108^2 ]

E26.756 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 27, 27})
Quotient :: loop^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y3)^2, (R * Y3)^2, R * Y2 * R * Y1, (Y3^-1 * Y2)^2, Y3^-1 * Y1 * Y3 * Y2 * Y3^-1, (Y1 * Y2)^9, 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 ]
Map::
	R = (1, 55, 109, 163, 4, 58, 112, 166, 12, 66, 120, 174, 6, 60, 114, 168, 15, 69, 123, 177, 22, 76, 130, 184, 20, 74, 128, 182, 27, 81, 135, 189, 34, 88, 142, 196, 32, 86, 140, 194, 39, 93, 147, 201, 46, 100, 154, 208, 44, 98, 152, 206, 51, 105, 159, 213, 53, 107, 161, 215, 47, 101, 155, 209, 49, 103, 157, 211, 42, 96, 150, 204, 35, 89, 143, 197, 37, 91, 145, 199, 30, 84, 138, 192, 23, 77, 131, 185, 25, 79, 133, 187, 18, 72, 126, 180, 9, 63, 117, 171, 13, 67, 121, 175, 5, 59, 113, 167)(2, 56, 110, 164, 7, 61, 115, 169, 11, 65, 119, 173, 3, 57, 111, 165, 10, 64, 118, 172, 19, 73, 127, 181, 17, 71, 125, 179, 24, 78, 132, 186, 31, 85, 139, 193, 29, 83, 137, 191, 36, 90, 144, 198, 43, 97, 151, 205, 41, 95, 149, 203, 48, 102, 156, 210, 54, 108, 162, 216, 50, 104, 158, 212, 52, 106, 160, 214, 45, 99, 153, 207, 38, 92, 146, 200, 40, 94, 148, 202, 33, 87, 141, 195, 26, 80, 134, 188, 28, 82, 136, 190, 21, 75, 129, 183, 14, 68, 122, 176, 16, 70, 124, 178, 8, 62, 116, 170)
	L = (1, 56)(2, 55)(3, 63)(4, 62)(5, 61)(6, 68)(7, 59)(8, 58)(9, 57)(10, 72)(11, 67)(12, 70)(13, 65)(14, 60)(15, 75)(16, 66)(17, 77)(18, 64)(19, 79)(20, 80)(21, 69)(22, 82)(23, 71)(24, 84)(25, 73)(26, 74)(27, 87)(28, 76)(29, 89)(30, 78)(31, 91)(32, 92)(33, 81)(34, 94)(35, 83)(36, 96)(37, 85)(38, 86)(39, 99)(40, 88)(41, 101)(42, 90)(43, 103)(44, 104)(45, 93)(46, 106)(47, 95)(48, 107)(49, 97)(50, 98)(51, 108)(52, 100)(53, 102)(54, 105)(109, 165)(110, 168)(111, 163)(112, 173)(113, 172)(114, 164)(115, 174)(116, 177)(117, 179)(118, 167)(119, 166)(120, 169)(121, 181)(122, 182)(123, 170)(124, 184)(125, 171)(126, 186)(127, 175)(128, 176)(129, 189)(130, 178)(131, 191)(132, 180)(133, 193)(134, 194)(135, 183)(136, 196)(137, 185)(138, 198)(139, 187)(140, 188)(141, 201)(142, 190)(143, 203)(144, 192)(145, 205)(146, 206)(147, 195)(148, 208)(149, 197)(150, 210)(151, 199)(152, 200)(153, 213)(154, 202)(155, 212)(156, 204)(157, 216)(158, 209)(159, 207)(160, 215)(161, 214)(162, 211)
	local type(s) :: { ( 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.743
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 108 f = 56
	degree seq :: [ 108^2 ]

E26.757 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 27, 27})
Quotient :: loop^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, (Y3 * Y2)^2, (Y2 * Y1)^3, Y2 * Y3^-9 * Y1, Y1 * Y3^-4 * Y2 * Y1 * Y3^-5 * 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 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-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, 55, 109, 163, 4, 58, 112, 166, 12, 66, 120, 174, 23, 77, 131, 185, 35, 89, 143, 197, 47, 101, 155, 209, 40, 94, 148, 202, 28, 82, 136, 190, 16, 70, 124, 178, 6, 60, 114, 168, 15, 69, 123, 177, 27, 81, 135, 189, 39, 93, 147, 201, 51, 105, 159, 213, 53, 107, 161, 215, 44, 98, 152, 206, 32, 86, 140, 194, 20, 74, 128, 182, 9, 63, 117, 171, 19, 73, 127, 181, 31, 85, 139, 193, 43, 97, 151, 205, 48, 102, 156, 210, 36, 90, 144, 198, 24, 78, 132, 186, 13, 67, 121, 175, 5, 59, 113, 167)(2, 56, 110, 164, 7, 61, 115, 169, 17, 71, 125, 179, 29, 83, 137, 191, 41, 95, 149, 203, 46, 100, 154, 208, 34, 88, 142, 196, 22, 76, 130, 184, 11, 65, 119, 173, 3, 57, 111, 165, 10, 64, 118, 172, 21, 75, 129, 183, 33, 87, 141, 195, 45, 99, 153, 207, 54, 108, 162, 216, 50, 104, 158, 212, 38, 92, 146, 200, 26, 80, 134, 188, 14, 68, 122, 176, 25, 79, 133, 187, 37, 91, 145, 199, 49, 103, 157, 211, 52, 106, 160, 214, 42, 96, 150, 204, 30, 84, 138, 192, 18, 72, 126, 180, 8, 62, 116, 170)
	L = (1, 56)(2, 55)(3, 63)(4, 62)(5, 61)(6, 68)(7, 59)(8, 58)(9, 57)(10, 74)(11, 73)(12, 72)(13, 71)(14, 60)(15, 80)(16, 79)(17, 67)(18, 66)(19, 65)(20, 64)(21, 86)(22, 85)(23, 84)(24, 83)(25, 70)(26, 69)(27, 92)(28, 91)(29, 78)(30, 77)(31, 76)(32, 75)(33, 98)(34, 97)(35, 96)(36, 95)(37, 82)(38, 81)(39, 104)(40, 103)(41, 90)(42, 89)(43, 88)(44, 87)(45, 107)(46, 102)(47, 106)(48, 100)(49, 94)(50, 93)(51, 108)(52, 101)(53, 99)(54, 105)(109, 165)(110, 168)(111, 163)(112, 173)(113, 172)(114, 164)(115, 178)(116, 177)(117, 176)(118, 167)(119, 166)(120, 184)(121, 183)(122, 171)(123, 170)(124, 169)(125, 190)(126, 189)(127, 188)(128, 187)(129, 175)(130, 174)(131, 196)(132, 195)(133, 182)(134, 181)(135, 180)(136, 179)(137, 202)(138, 201)(139, 200)(140, 199)(141, 186)(142, 185)(143, 208)(144, 207)(145, 194)(146, 193)(147, 192)(148, 191)(149, 209)(150, 213)(151, 212)(152, 211)(153, 198)(154, 197)(155, 203)(156, 216)(157, 206)(158, 205)(159, 204)(160, 215)(161, 214)(162, 210)
	local type(s) :: { ( 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.741
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 108 f = 56
	degree seq :: [ 108^2 ]

E26.758 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 27, 27})
Quotient :: loop^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y2 * Y3 * Y1^-1, Y1^27, Y2^27 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166)(2, 56, 110, 164, 6, 60, 114, 168)(3, 57, 111, 165, 8, 62, 116, 170)(5, 59, 113, 167, 10, 64, 118, 172)(7, 61, 115, 169, 12, 66, 120, 174)(9, 63, 117, 171, 14, 68, 122, 176)(11, 65, 119, 173, 16, 70, 124, 178)(13, 67, 121, 175, 18, 72, 126, 180)(15, 69, 123, 177, 20, 74, 128, 182)(17, 71, 125, 179, 22, 76, 130, 184)(19, 73, 127, 181, 24, 78, 132, 186)(21, 75, 129, 183, 26, 80, 134, 188)(23, 77, 131, 185, 28, 82, 136, 190)(25, 79, 133, 187, 30, 84, 138, 192)(27, 81, 135, 189, 32, 86, 140, 194)(29, 83, 137, 191, 34, 88, 142, 196)(31, 85, 139, 193, 36, 90, 144, 198)(33, 87, 141, 195, 38, 92, 146, 200)(35, 89, 143, 197, 40, 94, 148, 202)(37, 91, 145, 199, 42, 96, 150, 204)(39, 93, 147, 201, 44, 98, 152, 206)(41, 95, 149, 203, 46, 100, 154, 208)(43, 97, 151, 205, 48, 102, 156, 210)(45, 99, 153, 207, 50, 104, 158, 212)(47, 101, 155, 209, 52, 106, 160, 214)(49, 103, 157, 211, 53, 107, 161, 215)(51, 105, 159, 213, 54, 108, 162, 216)
	L = (1, 56)(2, 59)(3, 55)(4, 62)(5, 63)(6, 58)(7, 57)(8, 66)(9, 67)(10, 60)(11, 61)(12, 70)(13, 71)(14, 64)(15, 65)(16, 74)(17, 75)(18, 68)(19, 69)(20, 78)(21, 79)(22, 72)(23, 73)(24, 82)(25, 83)(26, 76)(27, 77)(28, 86)(29, 87)(30, 80)(31, 81)(32, 90)(33, 91)(34, 84)(35, 85)(36, 94)(37, 95)(38, 88)(39, 89)(40, 98)(41, 99)(42, 92)(43, 93)(44, 102)(45, 103)(46, 96)(47, 97)(48, 106)(49, 105)(50, 100)(51, 101)(52, 108)(53, 104)(54, 107)(109, 165)(110, 163)(111, 169)(112, 168)(113, 164)(114, 172)(115, 173)(116, 166)(117, 167)(118, 176)(119, 177)(120, 170)(121, 171)(122, 180)(123, 181)(124, 174)(125, 175)(126, 184)(127, 185)(128, 178)(129, 179)(130, 188)(131, 189)(132, 182)(133, 183)(134, 192)(135, 193)(136, 186)(137, 187)(138, 196)(139, 197)(140, 190)(141, 191)(142, 200)(143, 201)(144, 194)(145, 195)(146, 204)(147, 205)(148, 198)(149, 199)(150, 208)(151, 209)(152, 202)(153, 203)(154, 212)(155, 213)(156, 206)(157, 207)(158, 215)(159, 211)(160, 210)(161, 216)(162, 214)
	local type(s) :: { ( 4, 27, 4, 27, 4, 27, 4, 27 ) }
Outer automorphisms :: reflexible
Dual of E26.748
Transitivity :: VT+
Graph::
	v = 27 e = 108 f = 31
	degree seq :: [ 8^27 ]

E26.759 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 27, 27})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 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, Y1^2, R^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^27, (Y3 * Y2^-1)^27 ]
Map::
	R = (1, 55, 2, 56)(3, 57, 5, 59)(4, 58, 6, 60)(7, 61, 9, 63)(8, 62, 10, 64)(11, 65, 13, 67)(12, 66, 14, 68)(15, 69, 17, 71)(16, 70, 18, 72)(19, 73, 21, 75)(20, 74, 22, 76)(23, 77, 25, 79)(24, 78, 26, 80)(27, 81, 29, 83)(28, 82, 30, 84)(31, 85, 33, 87)(32, 86, 34, 88)(35, 89, 37, 91)(36, 90, 38, 92)(39, 93, 41, 95)(40, 94, 42, 96)(43, 97, 45, 99)(44, 98, 46, 100)(47, 101, 49, 103)(48, 102, 50, 104)(51, 105, 53, 107)(52, 106, 54, 108)(109, 163, 111, 165, 115, 169, 119, 173, 123, 177, 127, 181, 131, 185, 135, 189, 139, 193, 143, 197, 147, 201, 151, 205, 155, 209, 159, 213, 160, 214, 156, 210, 152, 206, 148, 202, 144, 198, 140, 194, 136, 190, 132, 186, 128, 182, 124, 178, 120, 174, 116, 170, 112, 166)(110, 164, 113, 167, 117, 171, 121, 175, 125, 179, 129, 183, 133, 187, 137, 191, 141, 195, 145, 199, 149, 203, 153, 207, 157, 211, 161, 215, 162, 216, 158, 212, 154, 208, 150, 204, 146, 200, 142, 196, 138, 192, 134, 188, 130, 184, 126, 180, 122, 176, 118, 172, 114, 168)
	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) :: { ( 4, 54, 4, 54 ), ( 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 29 e = 108 f = 29
	degree seq :: [ 4^27, 54^2 ]

E26.760 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 27, 27})
Quotient :: dipole
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 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, Y1^2, R^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (Y2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^27, (Y3 * Y2^-1)^27 ]
Map::
	R = (1, 55, 2, 56)(3, 57, 6, 60)(4, 58, 5, 59)(7, 61, 10, 64)(8, 62, 9, 63)(11, 65, 14, 68)(12, 66, 13, 67)(15, 69, 18, 72)(16, 70, 17, 71)(19, 73, 22, 76)(20, 74, 21, 75)(23, 77, 26, 80)(24, 78, 25, 79)(27, 81, 30, 84)(28, 82, 29, 83)(31, 85, 34, 88)(32, 86, 33, 87)(35, 89, 38, 92)(36, 90, 37, 91)(39, 93, 42, 96)(40, 94, 41, 95)(43, 97, 46, 100)(44, 98, 45, 99)(47, 101, 50, 104)(48, 102, 49, 103)(51, 105, 54, 108)(52, 106, 53, 107)(109, 163, 111, 165, 115, 169, 119, 173, 123, 177, 127, 181, 131, 185, 135, 189, 139, 193, 143, 197, 147, 201, 151, 205, 155, 209, 159, 213, 160, 214, 156, 210, 152, 206, 148, 202, 144, 198, 140, 194, 136, 190, 132, 186, 128, 182, 124, 178, 120, 174, 116, 170, 112, 166)(110, 164, 113, 167, 117, 171, 121, 175, 125, 179, 129, 183, 133, 187, 137, 191, 141, 195, 145, 199, 149, 203, 153, 207, 157, 211, 161, 215, 162, 216, 158, 212, 154, 208, 150, 204, 146, 200, 142, 196, 138, 192, 134, 188, 130, 184, 126, 180, 122, 176, 118, 172, 114, 168)
	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) :: { ( 4, 54, 4, 54 ), ( 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 29 e = 108 f = 29
	degree seq :: [ 4^27, 54^2 ]

E26.761 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 27, 27})
Quotient :: dipole
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2^-1), (Y2 * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, Y3^-1 * Y2^9, 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 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 9, 63)(4, 58, 10, 64)(5, 59, 7, 61)(6, 60, 8, 62)(11, 65, 21, 75)(12, 66, 22, 76)(13, 67, 20, 74)(14, 68, 19, 73)(15, 69, 17, 71)(16, 70, 18, 72)(23, 77, 33, 87)(24, 78, 34, 88)(25, 79, 32, 86)(26, 80, 31, 85)(27, 81, 29, 83)(28, 82, 30, 84)(35, 89, 45, 99)(36, 90, 46, 100)(37, 91, 44, 98)(38, 92, 43, 97)(39, 93, 41, 95)(40, 94, 42, 96)(47, 101, 53, 107)(48, 102, 54, 108)(49, 103, 51, 105)(50, 104, 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, 158, 212, 148, 202, 136, 190, 124, 178, 114, 168, 121, 175, 133, 187, 145, 199, 157, 211, 147, 201, 135, 189, 123, 177, 113, 167)(110, 164, 115, 169, 125, 179, 137, 191, 149, 203, 159, 213, 152, 206, 140, 194, 128, 182, 116, 170, 126, 180, 138, 192, 150, 204, 160, 214, 162, 216, 154, 208, 142, 196, 130, 184, 118, 172, 127, 181, 139, 193, 151, 205, 161, 215, 153, 207, 141, 195, 129, 183, 117, 171)
	L = (1, 112)(2, 116)(3, 120)(4, 114)(5, 122)(6, 109)(7, 126)(8, 118)(9, 128)(10, 110)(11, 132)(12, 121)(13, 111)(14, 124)(15, 134)(16, 113)(17, 138)(18, 127)(19, 115)(20, 130)(21, 140)(22, 117)(23, 144)(24, 133)(25, 119)(26, 136)(27, 146)(28, 123)(29, 150)(30, 139)(31, 125)(32, 142)(33, 152)(34, 129)(35, 156)(36, 145)(37, 131)(38, 148)(39, 155)(40, 135)(41, 160)(42, 151)(43, 137)(44, 154)(45, 159)(46, 141)(47, 158)(48, 157)(49, 143)(50, 147)(51, 162)(52, 161)(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) :: { ( 4, 54, 4, 54 ), ( 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.762
Graph:: bipartite
	v = 29 e = 108 f = 29
	degree seq :: [ 4^27, 54^2 ]

E26.762 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 27, 27})
Quotient :: dipole
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (R * Y3)^2, (Y3^-1, Y2^-1), (Y2^-1 * Y1)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y3^-1 * Y2^-9, 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 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 9, 63)(4, 58, 10, 64)(5, 59, 7, 61)(6, 60, 8, 62)(11, 65, 21, 75)(12, 66, 22, 76)(13, 67, 20, 74)(14, 68, 19, 73)(15, 69, 17, 71)(16, 70, 18, 72)(23, 77, 33, 87)(24, 78, 34, 88)(25, 79, 32, 86)(26, 80, 31, 85)(27, 81, 29, 83)(28, 82, 30, 84)(35, 89, 45, 99)(36, 90, 46, 100)(37, 91, 44, 98)(38, 92, 43, 97)(39, 93, 41, 95)(40, 94, 42, 96)(47, 101, 52, 106)(48, 102, 51, 105)(49, 103, 54, 108)(50, 104, 53, 107)(109, 163, 111, 165, 119, 173, 131, 185, 143, 197, 155, 209, 148, 202, 136, 190, 124, 178, 114, 168, 121, 175, 133, 187, 145, 199, 157, 211, 158, 212, 146, 200, 134, 188, 122, 176, 112, 166, 120, 174, 132, 186, 144, 198, 156, 210, 147, 201, 135, 189, 123, 177, 113, 167)(110, 164, 115, 169, 125, 179, 137, 191, 149, 203, 159, 213, 154, 208, 142, 196, 130, 184, 118, 172, 127, 181, 139, 193, 151, 205, 161, 215, 162, 216, 152, 206, 140, 194, 128, 182, 116, 170, 126, 180, 138, 192, 150, 204, 160, 214, 153, 207, 141, 195, 129, 183, 117, 171)
	L = (1, 112)(2, 116)(3, 120)(4, 114)(5, 122)(6, 109)(7, 126)(8, 118)(9, 128)(10, 110)(11, 132)(12, 121)(13, 111)(14, 124)(15, 134)(16, 113)(17, 138)(18, 127)(19, 115)(20, 130)(21, 140)(22, 117)(23, 144)(24, 133)(25, 119)(26, 136)(27, 146)(28, 123)(29, 150)(30, 139)(31, 125)(32, 142)(33, 152)(34, 129)(35, 156)(36, 145)(37, 131)(38, 148)(39, 158)(40, 135)(41, 160)(42, 151)(43, 137)(44, 154)(45, 162)(46, 141)(47, 147)(48, 157)(49, 143)(50, 155)(51, 153)(52, 161)(53, 149)(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, 54, 4, 54 ), ( 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.761
Graph:: bipartite
	v = 29 e = 108 f = 29
	degree seq :: [ 4^27, 54^2 ]

E26.763 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 27, 27})
Quotient :: dipole
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 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^-1 * Y1)^2, Y3^9 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 9, 63)(4, 58, 10, 64)(5, 59, 7, 61)(6, 60, 8, 62)(11, 65, 19, 73)(12, 66, 21, 75)(13, 67, 17, 71)(14, 68, 22, 76)(15, 69, 18, 72)(16, 70, 20, 74)(23, 77, 31, 85)(24, 78, 33, 87)(25, 79, 29, 83)(26, 80, 34, 88)(27, 81, 30, 84)(28, 82, 32, 86)(35, 89, 43, 97)(36, 90, 45, 99)(37, 91, 41, 95)(38, 92, 46, 100)(39, 93, 42, 96)(40, 94, 44, 98)(47, 101, 53, 107)(48, 102, 54, 108)(49, 103, 51, 105)(50, 104, 52, 106)(109, 163, 111, 165, 119, 173, 112, 166, 120, 174, 131, 185, 122, 176, 132, 186, 143, 197, 134, 188, 144, 198, 155, 209, 146, 200, 156, 210, 158, 212, 148, 202, 157, 211, 147, 201, 136, 190, 145, 199, 135, 189, 124, 178, 133, 187, 123, 177, 114, 168, 121, 175, 113, 167)(110, 164, 115, 169, 125, 179, 116, 170, 126, 180, 137, 191, 128, 182, 138, 192, 149, 203, 140, 194, 150, 204, 159, 213, 152, 206, 160, 214, 162, 216, 154, 208, 161, 215, 153, 207, 142, 196, 151, 205, 141, 195, 130, 184, 139, 193, 129, 183, 118, 172, 127, 181, 117, 171)
	L = (1, 112)(2, 116)(3, 120)(4, 122)(5, 119)(6, 109)(7, 126)(8, 128)(9, 125)(10, 110)(11, 131)(12, 132)(13, 111)(14, 134)(15, 113)(16, 114)(17, 137)(18, 138)(19, 115)(20, 140)(21, 117)(22, 118)(23, 143)(24, 144)(25, 121)(26, 146)(27, 123)(28, 124)(29, 149)(30, 150)(31, 127)(32, 152)(33, 129)(34, 130)(35, 155)(36, 156)(37, 133)(38, 148)(39, 135)(40, 136)(41, 159)(42, 160)(43, 139)(44, 154)(45, 141)(46, 142)(47, 158)(48, 157)(49, 145)(50, 147)(51, 162)(52, 161)(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, 54, 4, 54 ), ( 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.767
Graph:: bipartite
	v = 29 e = 108 f = 29
	degree seq :: [ 4^27, 54^2 ]

E26.764 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 27, 27})
Quotient :: dipole
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-3 * Y3^-1, (Y3^-1, Y2^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y2 * Y1)^2, (R * Y2)^2, 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 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 55, 2, 56)(3, 57, 9, 63)(4, 58, 10, 64)(5, 59, 7, 61)(6, 60, 8, 62)(11, 65, 18, 72)(12, 66, 17, 71)(13, 67, 21, 75)(14, 68, 22, 76)(15, 69, 19, 73)(16, 70, 20, 74)(23, 77, 30, 84)(24, 78, 29, 83)(25, 79, 33, 87)(26, 80, 34, 88)(27, 81, 31, 85)(28, 82, 32, 86)(35, 89, 42, 96)(36, 90, 41, 95)(37, 91, 45, 99)(38, 92, 46, 100)(39, 93, 43, 97)(40, 94, 44, 98)(47, 101, 52, 106)(48, 102, 51, 105)(49, 103, 54, 108)(50, 104, 53, 107)(109, 163, 111, 165, 119, 173, 114, 168, 121, 175, 131, 185, 124, 178, 133, 187, 143, 197, 136, 190, 145, 199, 155, 209, 148, 202, 157, 211, 158, 212, 146, 200, 156, 210, 147, 201, 134, 188, 144, 198, 135, 189, 122, 176, 132, 186, 123, 177, 112, 166, 120, 174, 113, 167)(110, 164, 115, 169, 125, 179, 118, 172, 127, 181, 137, 191, 130, 184, 139, 193, 149, 203, 142, 196, 151, 205, 159, 213, 154, 208, 161, 215, 162, 216, 152, 206, 160, 214, 153, 207, 140, 194, 150, 204, 141, 195, 128, 182, 138, 192, 129, 183, 116, 170, 126, 180, 117, 171)
	L = (1, 112)(2, 116)(3, 120)(4, 122)(5, 123)(6, 109)(7, 126)(8, 128)(9, 129)(10, 110)(11, 113)(12, 132)(13, 111)(14, 134)(15, 135)(16, 114)(17, 117)(18, 138)(19, 115)(20, 140)(21, 141)(22, 118)(23, 119)(24, 144)(25, 121)(26, 146)(27, 147)(28, 124)(29, 125)(30, 150)(31, 127)(32, 152)(33, 153)(34, 130)(35, 131)(36, 156)(37, 133)(38, 148)(39, 158)(40, 136)(41, 137)(42, 160)(43, 139)(44, 154)(45, 162)(46, 142)(47, 143)(48, 157)(49, 145)(50, 155)(51, 149)(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) :: { ( 4, 54, 4, 54 ), ( 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.765
Graph:: bipartite
	v = 29 e = 108 f = 29
	degree seq :: [ 4^27, 54^2 ]

E26.765 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 27, 27})
Quotient :: dipole
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, (Y2^-1, Y3^-1), (Y2^-1 * Y1)^2, (R * Y3)^2, Y2^-3 * Y3^4, Y2^-2 * Y3^-1 * Y2^-4, Y3^-2 * Y2^-1 * Y3^-3 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 9, 63)(4, 58, 10, 64)(5, 59, 7, 61)(6, 60, 8, 62)(11, 65, 24, 78)(12, 66, 25, 79)(13, 67, 23, 77)(14, 68, 26, 80)(15, 69, 21, 75)(16, 70, 19, 73)(17, 71, 20, 74)(18, 72, 22, 76)(27, 81, 47, 101)(28, 82, 48, 102)(29, 83, 46, 100)(30, 84, 49, 103)(31, 85, 45, 99)(32, 86, 50, 104)(33, 87, 43, 97)(34, 88, 41, 95)(35, 89, 39, 93)(36, 90, 40, 94)(37, 91, 42, 96)(38, 92, 44, 98)(51, 105, 54, 108)(52, 106, 53, 107)(109, 163, 111, 165, 119, 173, 135, 189, 144, 198, 125, 179, 114, 168, 121, 175, 137, 191, 140, 194, 160, 214, 145, 199, 126, 180, 139, 193, 141, 195, 122, 176, 138, 192, 159, 213, 146, 200, 142, 196, 123, 177, 112, 166, 120, 174, 136, 190, 143, 197, 124, 178, 113, 167)(110, 164, 115, 169, 127, 181, 147, 201, 156, 210, 133, 187, 118, 172, 129, 183, 149, 203, 152, 206, 162, 216, 157, 211, 134, 188, 151, 205, 153, 207, 130, 184, 150, 204, 161, 215, 158, 212, 154, 208, 131, 185, 116, 170, 128, 182, 148, 202, 155, 209, 132, 186, 117, 171)
	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, 140)(15, 141)(16, 142)(17, 113)(18, 114)(19, 148)(20, 150)(21, 115)(22, 152)(23, 153)(24, 154)(25, 117)(26, 118)(27, 143)(28, 159)(29, 119)(30, 160)(31, 121)(32, 135)(33, 137)(34, 139)(35, 146)(36, 124)(37, 125)(38, 126)(39, 155)(40, 161)(41, 127)(42, 162)(43, 129)(44, 147)(45, 149)(46, 151)(47, 158)(48, 132)(49, 133)(50, 134)(51, 145)(52, 144)(53, 157)(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, 54, 4, 54 ), ( 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.764
Graph:: bipartite
	v = 29 e = 108 f = 29
	degree seq :: [ 4^27, 54^2 ]

E26.766 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 27, 27})
Quotient :: dipole
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, (Y3^-1, Y2^-1), (Y2^-1 * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y2 * Y3^2 * Y2, Y2^4 * Y3^-1 * Y2^2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^3 * Y2^-1, 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^-2 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 9, 63)(4, 58, 10, 64)(5, 59, 7, 61)(6, 60, 8, 62)(11, 65, 24, 78)(12, 66, 25, 79)(13, 67, 23, 77)(14, 68, 26, 80)(15, 69, 21, 75)(16, 70, 19, 73)(17, 71, 20, 74)(18, 72, 22, 76)(27, 81, 47, 101)(28, 82, 48, 102)(29, 83, 46, 100)(30, 84, 49, 103)(31, 85, 45, 99)(32, 86, 50, 104)(33, 87, 43, 97)(34, 88, 41, 95)(35, 89, 39, 93)(36, 90, 40, 94)(37, 91, 42, 96)(38, 92, 44, 98)(51, 105, 54, 108)(52, 106, 53, 107)(109, 163, 111, 165, 119, 173, 135, 189, 142, 196, 123, 177, 112, 166, 120, 174, 136, 190, 146, 200, 160, 214, 141, 195, 122, 176, 138, 192, 145, 199, 126, 180, 139, 193, 159, 213, 140, 194, 144, 198, 125, 179, 114, 168, 121, 175, 137, 191, 143, 197, 124, 178, 113, 167)(110, 164, 115, 169, 127, 181, 147, 201, 154, 208, 131, 185, 116, 170, 128, 182, 148, 202, 158, 212, 162, 216, 153, 207, 130, 184, 150, 204, 157, 211, 134, 188, 151, 205, 161, 215, 152, 206, 156, 210, 133, 187, 118, 172, 129, 183, 149, 203, 155, 209, 132, 186, 117, 171)
	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, 140)(15, 141)(16, 142)(17, 113)(18, 114)(19, 148)(20, 150)(21, 115)(22, 152)(23, 153)(24, 154)(25, 117)(26, 118)(27, 146)(28, 145)(29, 119)(30, 144)(31, 121)(32, 143)(33, 159)(34, 160)(35, 135)(36, 124)(37, 125)(38, 126)(39, 158)(40, 157)(41, 127)(42, 156)(43, 129)(44, 155)(45, 161)(46, 162)(47, 147)(48, 132)(49, 133)(50, 134)(51, 137)(52, 139)(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) :: { ( 4, 54, 4, 54 ), ( 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.768
Graph:: bipartite
	v = 29 e = 108 f = 29
	degree seq :: [ 4^27, 54^2 ]

E26.767 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 27, 27})
Quotient :: dipole
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 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, Y3^-2 * Y2^3, Y3^-9, Y3^9, Y3^9, Y3^-3 * Y2^-1 * Y3^-4 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 9, 63)(4, 58, 10, 64)(5, 59, 7, 61)(6, 60, 8, 62)(11, 65, 24, 78)(12, 66, 25, 79)(13, 67, 23, 77)(14, 68, 26, 80)(15, 69, 21, 75)(16, 70, 19, 73)(17, 71, 20, 74)(18, 72, 22, 76)(27, 81, 36, 90)(28, 82, 37, 91)(29, 83, 38, 92)(30, 84, 33, 87)(31, 85, 34, 88)(32, 86, 35, 89)(39, 93, 48, 102)(40, 94, 49, 103)(41, 95, 50, 104)(42, 96, 45, 99)(43, 97, 46, 100)(44, 98, 47, 101)(51, 105, 54, 108)(52, 106, 53, 107)(109, 163, 111, 165, 119, 173, 122, 176, 136, 190, 147, 201, 149, 203, 160, 214, 151, 205, 140, 194, 138, 192, 125, 179, 114, 168, 121, 175, 123, 177, 112, 166, 120, 174, 135, 189, 137, 191, 148, 202, 159, 213, 152, 206, 150, 204, 139, 193, 126, 180, 124, 178, 113, 167)(110, 164, 115, 169, 127, 181, 130, 184, 142, 196, 153, 207, 155, 209, 162, 216, 157, 211, 146, 200, 144, 198, 133, 187, 118, 172, 129, 183, 131, 185, 116, 170, 128, 182, 141, 195, 143, 197, 154, 208, 161, 215, 158, 212, 156, 210, 145, 199, 134, 188, 132, 186, 117, 171)
	L = (1, 112)(2, 116)(3, 120)(4, 122)(5, 123)(6, 109)(7, 128)(8, 130)(9, 131)(10, 110)(11, 135)(12, 136)(13, 111)(14, 137)(15, 119)(16, 121)(17, 113)(18, 114)(19, 141)(20, 142)(21, 115)(22, 143)(23, 127)(24, 129)(25, 117)(26, 118)(27, 147)(28, 148)(29, 149)(30, 124)(31, 125)(32, 126)(33, 153)(34, 154)(35, 155)(36, 132)(37, 133)(38, 134)(39, 159)(40, 160)(41, 152)(42, 138)(43, 139)(44, 140)(45, 161)(46, 162)(47, 158)(48, 144)(49, 145)(50, 146)(51, 151)(52, 150)(53, 157)(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, 54, 4, 54 ), ( 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.763
Graph:: bipartite
	v = 29 e = 108 f = 29
	degree seq :: [ 4^27, 54^2 ]

E26.768 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 27, 27})
Quotient :: dipole
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|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, Y2^3 * Y3^2, Y3^9, Y3^9, Y3^3 * Y2^-1 * Y3^4 * Y2^-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 * Y3^2 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 9, 63)(4, 58, 10, 64)(5, 59, 7, 61)(6, 60, 8, 62)(11, 65, 24, 78)(12, 66, 25, 79)(13, 67, 23, 77)(14, 68, 26, 80)(15, 69, 21, 75)(16, 70, 19, 73)(17, 71, 20, 74)(18, 72, 22, 76)(27, 81, 37, 91)(28, 82, 36, 90)(29, 83, 38, 92)(30, 84, 34, 88)(31, 85, 33, 87)(32, 86, 35, 89)(39, 93, 49, 103)(40, 94, 48, 102)(41, 95, 50, 104)(42, 96, 46, 100)(43, 97, 45, 99)(44, 98, 47, 101)(51, 105, 54, 108)(52, 106, 53, 107)(109, 163, 111, 165, 119, 173, 126, 180, 136, 190, 147, 201, 152, 206, 160, 214, 150, 204, 137, 191, 139, 193, 123, 177, 112, 166, 120, 174, 125, 179, 114, 168, 121, 175, 135, 189, 140, 194, 148, 202, 159, 213, 149, 203, 151, 205, 138, 192, 122, 176, 124, 178, 113, 167)(110, 164, 115, 169, 127, 181, 134, 188, 142, 196, 153, 207, 158, 212, 162, 216, 156, 210, 143, 197, 145, 199, 131, 185, 116, 170, 128, 182, 133, 187, 118, 172, 129, 183, 141, 195, 146, 200, 154, 208, 161, 215, 155, 209, 157, 211, 144, 198, 130, 184, 132, 186, 117, 171)
	L = (1, 112)(2, 116)(3, 120)(4, 122)(5, 123)(6, 109)(7, 128)(8, 130)(9, 131)(10, 110)(11, 125)(12, 124)(13, 111)(14, 137)(15, 138)(16, 139)(17, 113)(18, 114)(19, 133)(20, 132)(21, 115)(22, 143)(23, 144)(24, 145)(25, 117)(26, 118)(27, 119)(28, 121)(29, 149)(30, 150)(31, 151)(32, 126)(33, 127)(34, 129)(35, 155)(36, 156)(37, 157)(38, 134)(39, 135)(40, 136)(41, 152)(42, 159)(43, 160)(44, 140)(45, 141)(46, 142)(47, 158)(48, 161)(49, 162)(50, 146)(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) :: { ( 4, 54, 4, 54 ), ( 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.766
Graph:: bipartite
	v = 29 e = 108 f = 29
	degree seq :: [ 4^27, 54^2 ]

E26.769 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 27, 27})
Quotient :: dipole
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, Y2^27, (Y3 * Y2^-1)^27 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 6, 60)(4, 58, 5, 59)(7, 61, 10, 64)(8, 62, 9, 63)(11, 65, 14, 68)(12, 66, 13, 67)(15, 69, 18, 72)(16, 70, 17, 71)(19, 73, 22, 76)(20, 74, 21, 75)(23, 77, 26, 80)(24, 78, 25, 79)(27, 81, 30, 84)(28, 82, 29, 83)(31, 85, 34, 88)(32, 86, 33, 87)(35, 89, 38, 92)(36, 90, 37, 91)(39, 93, 42, 96)(40, 94, 41, 95)(43, 97, 46, 100)(44, 98, 45, 99)(47, 101, 50, 104)(48, 102, 49, 103)(51, 105, 54, 108)(52, 106, 53, 107)(109, 163, 111, 165, 115, 169, 119, 173, 123, 177, 127, 181, 131, 185, 135, 189, 139, 193, 143, 197, 147, 201, 151, 205, 155, 209, 159, 213, 160, 214, 156, 210, 152, 206, 148, 202, 144, 198, 140, 194, 136, 190, 132, 186, 128, 182, 124, 178, 120, 174, 116, 170, 112, 166)(110, 164, 113, 167, 117, 171, 121, 175, 125, 179, 129, 183, 133, 187, 137, 191, 141, 195, 145, 199, 149, 203, 153, 207, 157, 211, 161, 215, 162, 216, 158, 212, 154, 208, 150, 204, 146, 200, 142, 196, 138, 192, 134, 188, 130, 184, 126, 180, 122, 176, 118, 172, 114, 168)
	L = (1, 112)(2, 114)(3, 109)(4, 116)(5, 110)(6, 118)(7, 111)(8, 120)(9, 113)(10, 122)(11, 115)(12, 124)(13, 117)(14, 126)(15, 119)(16, 128)(17, 121)(18, 130)(19, 123)(20, 132)(21, 125)(22, 134)(23, 127)(24, 136)(25, 129)(26, 138)(27, 131)(28, 140)(29, 133)(30, 142)(31, 135)(32, 144)(33, 137)(34, 146)(35, 139)(36, 148)(37, 141)(38, 150)(39, 143)(40, 152)(41, 145)(42, 154)(43, 147)(44, 156)(45, 149)(46, 158)(47, 151)(48, 160)(49, 153)(50, 162)(51, 155)(52, 159)(53, 157)(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, 54, 4, 54 ), ( 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.777
Graph:: bipartite
	v = 29 e = 108 f = 29
	degree seq :: [ 4^27, 54^2 ]

E26.770 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 27, 27})
Quotient :: dipole
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 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, Y3^13 * Y2 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 9, 63)(4, 58, 10, 64)(5, 59, 7, 61)(6, 60, 8, 62)(11, 65, 17, 71)(12, 66, 18, 72)(13, 67, 15, 69)(14, 68, 16, 70)(19, 73, 25, 79)(20, 74, 26, 80)(21, 75, 23, 77)(22, 76, 24, 78)(27, 81, 33, 87)(28, 82, 34, 88)(29, 83, 31, 85)(30, 84, 32, 86)(35, 89, 41, 95)(36, 90, 42, 96)(37, 91, 39, 93)(38, 92, 40, 94)(43, 97, 49, 103)(44, 98, 50, 104)(45, 99, 47, 101)(46, 100, 48, 102)(51, 105, 54, 108)(52, 106, 53, 107)(109, 163, 111, 165, 112, 166, 119, 173, 120, 174, 127, 181, 128, 182, 135, 189, 136, 190, 143, 197, 144, 198, 151, 205, 152, 206, 159, 213, 160, 214, 154, 208, 153, 207, 146, 200, 145, 199, 138, 192, 137, 191, 130, 184, 129, 183, 122, 176, 121, 175, 114, 168, 113, 167)(110, 164, 115, 169, 116, 170, 123, 177, 124, 178, 131, 185, 132, 186, 139, 193, 140, 194, 147, 201, 148, 202, 155, 209, 156, 210, 161, 215, 162, 216, 158, 212, 157, 211, 150, 204, 149, 203, 142, 196, 141, 195, 134, 188, 133, 187, 126, 180, 125, 179, 118, 172, 117, 171)
	L = (1, 112)(2, 116)(3, 119)(4, 120)(5, 111)(6, 109)(7, 123)(8, 124)(9, 115)(10, 110)(11, 127)(12, 128)(13, 113)(14, 114)(15, 131)(16, 132)(17, 117)(18, 118)(19, 135)(20, 136)(21, 121)(22, 122)(23, 139)(24, 140)(25, 125)(26, 126)(27, 143)(28, 144)(29, 129)(30, 130)(31, 147)(32, 148)(33, 133)(34, 134)(35, 151)(36, 152)(37, 137)(38, 138)(39, 155)(40, 156)(41, 141)(42, 142)(43, 159)(44, 160)(45, 145)(46, 146)(47, 161)(48, 162)(49, 149)(50, 150)(51, 154)(52, 153)(53, 158)(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, 54, 4, 54 ), ( 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 29 e = 108 f = 29
	degree seq :: [ 4^27, 54^2 ]

E26.771 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 27, 27})
Quotient :: dipole
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 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 * Y2^4, Y3^-5 * Y2^-1 * 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 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 9, 63)(4, 58, 10, 64)(5, 59, 7, 61)(6, 60, 8, 62)(11, 65, 24, 78)(12, 66, 25, 79)(13, 67, 23, 77)(14, 68, 26, 80)(15, 69, 21, 75)(16, 70, 19, 73)(17, 71, 20, 74)(18, 72, 22, 76)(27, 81, 40, 94)(28, 82, 41, 95)(29, 83, 39, 93)(30, 84, 42, 96)(31, 85, 37, 91)(32, 86, 35, 89)(33, 87, 36, 90)(34, 88, 38, 92)(43, 97, 54, 108)(44, 98, 52, 106)(45, 99, 53, 107)(46, 100, 50, 104)(47, 101, 51, 105)(48, 102, 49, 103)(109, 163, 111, 165, 119, 173, 125, 179, 114, 168, 121, 175, 135, 189, 141, 195, 126, 180, 137, 191, 151, 205, 154, 208, 142, 196, 153, 207, 155, 209, 138, 192, 152, 206, 156, 210, 139, 193, 122, 176, 136, 190, 140, 194, 123, 177, 112, 166, 120, 174, 124, 178, 113, 167)(110, 164, 115, 169, 127, 181, 133, 187, 118, 172, 129, 183, 143, 197, 149, 203, 134, 188, 145, 199, 157, 211, 160, 214, 150, 204, 159, 213, 161, 215, 146, 200, 158, 212, 162, 216, 147, 201, 130, 184, 144, 198, 148, 202, 131, 185, 116, 170, 128, 182, 132, 186, 117, 171)
	L = (1, 112)(2, 116)(3, 120)(4, 122)(5, 123)(6, 109)(7, 128)(8, 130)(9, 131)(10, 110)(11, 124)(12, 136)(13, 111)(14, 138)(15, 139)(16, 140)(17, 113)(18, 114)(19, 132)(20, 144)(21, 115)(22, 146)(23, 147)(24, 148)(25, 117)(26, 118)(27, 119)(28, 152)(29, 121)(30, 154)(31, 155)(32, 156)(33, 125)(34, 126)(35, 127)(36, 158)(37, 129)(38, 160)(39, 161)(40, 162)(41, 133)(42, 134)(43, 135)(44, 142)(45, 137)(46, 141)(47, 151)(48, 153)(49, 143)(50, 150)(51, 145)(52, 149)(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) :: { ( 4, 54, 4, 54 ), ( 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.775
Graph:: bipartite
	v = 29 e = 108 f = 29
	degree seq :: [ 4^27, 54^2 ]

E26.772 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 27, 27})
Quotient :: dipole
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 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^-2 * Y3 * Y2^-3, Y3^2 * Y2 * Y3^3 * Y2, 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 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 9, 63)(4, 58, 10, 64)(5, 59, 7, 61)(6, 60, 8, 62)(11, 65, 24, 78)(12, 66, 25, 79)(13, 67, 23, 77)(14, 68, 26, 80)(15, 69, 21, 75)(16, 70, 19, 73)(17, 71, 20, 74)(18, 72, 22, 76)(27, 81, 39, 93)(28, 82, 44, 98)(29, 83, 37, 91)(30, 84, 45, 99)(31, 85, 43, 97)(32, 86, 46, 100)(33, 87, 41, 95)(34, 88, 38, 92)(35, 89, 40, 94)(36, 90, 42, 96)(47, 101, 52, 106)(48, 102, 51, 105)(49, 103, 54, 108)(50, 104, 53, 107)(109, 163, 111, 165, 119, 173, 135, 189, 123, 177, 112, 166, 120, 174, 136, 190, 155, 209, 141, 195, 122, 176, 138, 192, 144, 198, 157, 211, 158, 212, 140, 194, 143, 197, 126, 180, 139, 193, 156, 210, 142, 196, 125, 179, 114, 168, 121, 175, 137, 191, 124, 178, 113, 167)(110, 164, 115, 169, 127, 181, 145, 199, 131, 185, 116, 170, 128, 182, 146, 200, 159, 213, 151, 205, 130, 184, 148, 202, 154, 208, 161, 215, 162, 216, 150, 204, 153, 207, 134, 188, 149, 203, 160, 214, 152, 206, 133, 187, 118, 172, 129, 183, 147, 201, 132, 186, 117, 171)
	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, 140)(15, 141)(16, 135)(17, 113)(18, 114)(19, 146)(20, 148)(21, 115)(22, 150)(23, 151)(24, 145)(25, 117)(26, 118)(27, 155)(28, 144)(29, 119)(30, 143)(31, 121)(32, 142)(33, 158)(34, 124)(35, 125)(36, 126)(37, 159)(38, 154)(39, 127)(40, 153)(41, 129)(42, 152)(43, 162)(44, 132)(45, 133)(46, 134)(47, 157)(48, 137)(49, 139)(50, 156)(51, 161)(52, 147)(53, 149)(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, 54, 4, 54 ), ( 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.774
Graph:: bipartite
	v = 29 e = 108 f = 29
	degree seq :: [ 4^27, 54^2 ]

E26.773 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 27, 27})
Quotient :: dipole
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (Y2 * Y1)^2, Y2 * Y3^4, Y2^-1 * Y3^-1 * Y2^-6, 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 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 9, 63)(4, 58, 10, 64)(5, 59, 7, 61)(6, 60, 8, 62)(11, 65, 24, 78)(12, 66, 25, 79)(13, 67, 23, 77)(14, 68, 26, 80)(15, 69, 21, 75)(16, 70, 19, 73)(17, 71, 20, 74)(18, 72, 22, 76)(27, 81, 41, 95)(28, 82, 42, 96)(29, 83, 40, 94)(30, 84, 39, 93)(31, 85, 38, 92)(32, 86, 37, 91)(33, 87, 35, 89)(34, 88, 36, 90)(43, 97, 50, 104)(44, 98, 49, 103)(45, 99, 54, 108)(46, 100, 53, 107)(47, 101, 52, 106)(48, 102, 51, 105)(109, 163, 111, 165, 119, 173, 135, 189, 151, 205, 142, 196, 125, 179, 114, 168, 121, 175, 137, 191, 153, 207, 155, 209, 139, 193, 122, 176, 126, 180, 138, 192, 154, 208, 156, 210, 140, 194, 123, 177, 112, 166, 120, 174, 136, 190, 152, 206, 141, 195, 124, 178, 113, 167)(110, 164, 115, 169, 127, 181, 143, 197, 157, 211, 150, 204, 133, 187, 118, 172, 129, 183, 145, 199, 159, 213, 161, 215, 147, 201, 130, 184, 134, 188, 146, 200, 160, 214, 162, 216, 148, 202, 131, 185, 116, 170, 128, 182, 144, 198, 158, 212, 149, 203, 132, 186, 117, 171)
	L = (1, 112)(2, 116)(3, 120)(4, 122)(5, 123)(6, 109)(7, 128)(8, 130)(9, 131)(10, 110)(11, 136)(12, 126)(13, 111)(14, 125)(15, 139)(16, 140)(17, 113)(18, 114)(19, 144)(20, 134)(21, 115)(22, 133)(23, 147)(24, 148)(25, 117)(26, 118)(27, 152)(28, 138)(29, 119)(30, 121)(31, 142)(32, 155)(33, 156)(34, 124)(35, 158)(36, 146)(37, 127)(38, 129)(39, 150)(40, 161)(41, 162)(42, 132)(43, 141)(44, 154)(45, 135)(46, 137)(47, 151)(48, 153)(49, 149)(50, 160)(51, 143)(52, 145)(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) :: { ( 4, 54, 4, 54 ), ( 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.776
Graph:: bipartite
	v = 29 e = 108 f = 29
	degree seq :: [ 4^27, 54^2 ]

E26.774 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 27, 27})
Quotient :: dipole
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), (Y2 * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-2 * Y3^-1, Y2^3 * Y3^-1 * Y2 * Y3^-3 * Y2, Y3^9 * Y2 * Y3, Y3^-1 * 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^-2 * Y2^2 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 9, 63)(4, 58, 10, 64)(5, 59, 7, 61)(6, 60, 8, 62)(11, 65, 24, 78)(12, 66, 25, 79)(13, 67, 23, 77)(14, 68, 26, 80)(15, 69, 21, 75)(16, 70, 19, 73)(17, 71, 20, 74)(18, 72, 22, 76)(27, 81, 40, 94)(28, 82, 38, 92)(29, 83, 42, 96)(30, 84, 36, 90)(31, 85, 41, 95)(32, 86, 35, 89)(33, 87, 39, 93)(34, 88, 37, 91)(43, 97, 53, 107)(44, 98, 52, 106)(45, 99, 54, 108)(46, 100, 50, 104)(47, 101, 49, 103)(48, 102, 51, 105)(109, 163, 111, 165, 119, 173, 135, 189, 151, 205, 154, 208, 142, 196, 123, 177, 112, 166, 120, 174, 136, 190, 126, 180, 139, 193, 153, 207, 156, 210, 141, 195, 122, 176, 138, 192, 125, 179, 114, 168, 121, 175, 137, 191, 152, 206, 155, 209, 140, 194, 124, 178, 113, 167)(110, 164, 115, 169, 127, 181, 143, 197, 157, 211, 160, 214, 150, 204, 131, 185, 116, 170, 128, 182, 144, 198, 134, 188, 147, 201, 159, 213, 162, 216, 149, 203, 130, 184, 146, 200, 133, 187, 118, 172, 129, 183, 145, 199, 158, 212, 161, 215, 148, 202, 132, 186, 117, 171)
	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, 140)(15, 141)(16, 142)(17, 113)(18, 114)(19, 144)(20, 146)(21, 115)(22, 148)(23, 149)(24, 150)(25, 117)(26, 118)(27, 126)(28, 125)(29, 119)(30, 124)(31, 121)(32, 154)(33, 155)(34, 156)(35, 134)(36, 133)(37, 127)(38, 132)(39, 129)(40, 160)(41, 161)(42, 162)(43, 139)(44, 135)(45, 137)(46, 153)(47, 151)(48, 152)(49, 147)(50, 143)(51, 145)(52, 159)(53, 157)(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, 54, 4, 54 ), ( 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.772
Graph:: bipartite
	v = 29 e = 108 f = 29
	degree seq :: [ 4^27, 54^2 ]

E26.775 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 27, 27})
Quotient :: dipole
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), (Y2 * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y3^-1 * Y2^-2 * Y3^-2, Y3^7 * Y2^-1 * Y3, Y2^5 * Y3^-1 * Y2 * Y3^-1 * Y2, Y3^2 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^3 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 9, 63)(4, 58, 10, 64)(5, 59, 7, 61)(6, 60, 8, 62)(11, 65, 24, 78)(12, 66, 25, 79)(13, 67, 23, 77)(14, 68, 26, 80)(15, 69, 21, 75)(16, 70, 19, 73)(17, 71, 20, 74)(18, 72, 22, 76)(27, 81, 40, 94)(28, 82, 38, 92)(29, 83, 42, 96)(30, 84, 36, 90)(31, 85, 41, 95)(32, 86, 35, 89)(33, 87, 39, 93)(34, 88, 37, 91)(43, 97, 53, 107)(44, 98, 52, 106)(45, 99, 54, 108)(46, 100, 50, 104)(47, 101, 49, 103)(48, 102, 51, 105)(109, 163, 111, 165, 119, 173, 135, 189, 151, 205, 156, 210, 141, 195, 122, 176, 138, 192, 125, 179, 114, 168, 121, 175, 137, 191, 152, 206, 154, 208, 142, 196, 123, 177, 112, 166, 120, 174, 136, 190, 126, 180, 139, 193, 153, 207, 155, 209, 140, 194, 124, 178, 113, 167)(110, 164, 115, 169, 127, 181, 143, 197, 157, 211, 162, 216, 149, 203, 130, 184, 146, 200, 133, 187, 118, 172, 129, 183, 145, 199, 158, 212, 160, 214, 150, 204, 131, 185, 116, 170, 128, 182, 144, 198, 134, 188, 147, 201, 159, 213, 161, 215, 148, 202, 132, 186, 117, 171)
	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, 140)(15, 141)(16, 142)(17, 113)(18, 114)(19, 144)(20, 146)(21, 115)(22, 148)(23, 149)(24, 150)(25, 117)(26, 118)(27, 126)(28, 125)(29, 119)(30, 124)(31, 121)(32, 154)(33, 155)(34, 156)(35, 134)(36, 133)(37, 127)(38, 132)(39, 129)(40, 160)(41, 161)(42, 162)(43, 139)(44, 135)(45, 137)(46, 151)(47, 152)(48, 153)(49, 147)(50, 143)(51, 145)(52, 157)(53, 158)(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, 54, 4, 54 ), ( 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.771
Graph:: bipartite
	v = 29 e = 108 f = 29
	degree seq :: [ 4^27, 54^2 ]

E26.776 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 27, 27})
Quotient :: dipole
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (Y3^-1, Y2^-1), (R * Y1)^2, (Y2 * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^4 * Y2^-1 * Y3, Y3 * Y2 * Y3 * 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^-2 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 9, 63)(4, 58, 10, 64)(5, 59, 7, 61)(6, 60, 8, 62)(11, 65, 24, 78)(12, 66, 25, 79)(13, 67, 23, 77)(14, 68, 26, 80)(15, 69, 21, 75)(16, 70, 19, 73)(17, 71, 20, 74)(18, 72, 22, 76)(27, 81, 44, 98)(28, 82, 45, 99)(29, 83, 43, 97)(30, 84, 46, 100)(31, 85, 42, 96)(32, 86, 41, 95)(33, 87, 39, 93)(34, 88, 37, 91)(35, 89, 38, 92)(36, 90, 40, 94)(47, 101, 54, 108)(48, 102, 53, 107)(49, 103, 52, 106)(50, 104, 51, 105)(109, 163, 111, 165, 119, 173, 135, 189, 144, 198, 126, 180, 139, 193, 156, 210, 158, 212, 141, 195, 123, 177, 112, 166, 120, 174, 136, 190, 143, 197, 125, 179, 114, 168, 121, 175, 137, 191, 155, 209, 157, 211, 140, 194, 122, 176, 138, 192, 142, 196, 124, 178, 113, 167)(110, 164, 115, 169, 127, 181, 145, 199, 154, 208, 134, 188, 149, 203, 160, 214, 162, 216, 151, 205, 131, 185, 116, 170, 128, 182, 146, 200, 153, 207, 133, 187, 118, 172, 129, 183, 147, 201, 159, 213, 161, 215, 150, 204, 130, 184, 148, 202, 152, 206, 132, 186, 117, 171)
	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, 139)(15, 140)(16, 141)(17, 113)(18, 114)(19, 146)(20, 148)(21, 115)(22, 149)(23, 150)(24, 151)(25, 117)(26, 118)(27, 143)(28, 142)(29, 119)(30, 156)(31, 121)(32, 126)(33, 157)(34, 158)(35, 124)(36, 125)(37, 153)(38, 152)(39, 127)(40, 160)(41, 129)(42, 134)(43, 161)(44, 162)(45, 132)(46, 133)(47, 135)(48, 137)(49, 144)(50, 155)(51, 145)(52, 147)(53, 154)(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, 54, 4, 54 ), ( 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.773
Graph:: bipartite
	v = 29 e = 108 f = 29
	degree seq :: [ 4^27, 54^2 ]

E26.777 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 27, 27})
Quotient :: dipole
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2 * Y1)^2, Y2^-7 * Y3^-1 * Y2^-6 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 9, 63)(4, 58, 10, 64)(5, 59, 7, 61)(6, 60, 8, 62)(11, 65, 17, 71)(12, 66, 18, 72)(13, 67, 15, 69)(14, 68, 16, 70)(19, 73, 25, 79)(20, 74, 26, 80)(21, 75, 23, 77)(22, 76, 24, 78)(27, 81, 33, 87)(28, 82, 34, 88)(29, 83, 31, 85)(30, 84, 32, 86)(35, 89, 41, 95)(36, 90, 42, 96)(37, 91, 39, 93)(38, 92, 40, 94)(43, 97, 49, 103)(44, 98, 50, 104)(45, 99, 47, 101)(46, 100, 48, 102)(51, 105, 54, 108)(52, 106, 53, 107)(109, 163, 111, 165, 119, 173, 127, 181, 135, 189, 143, 197, 151, 205, 159, 213, 154, 208, 146, 200, 138, 192, 130, 184, 122, 176, 114, 168, 112, 166, 120, 174, 128, 182, 136, 190, 144, 198, 152, 206, 160, 214, 153, 207, 145, 199, 137, 191, 129, 183, 121, 175, 113, 167)(110, 164, 115, 169, 123, 177, 131, 185, 139, 193, 147, 201, 155, 209, 161, 215, 158, 212, 150, 204, 142, 196, 134, 188, 126, 180, 118, 172, 116, 170, 124, 178, 132, 186, 140, 194, 148, 202, 156, 210, 162, 216, 157, 211, 149, 203, 141, 195, 133, 187, 125, 179, 117, 171)
	L = (1, 112)(2, 116)(3, 120)(4, 111)(5, 114)(6, 109)(7, 124)(8, 115)(9, 118)(10, 110)(11, 128)(12, 119)(13, 122)(14, 113)(15, 132)(16, 123)(17, 126)(18, 117)(19, 136)(20, 127)(21, 130)(22, 121)(23, 140)(24, 131)(25, 134)(26, 125)(27, 144)(28, 135)(29, 138)(30, 129)(31, 148)(32, 139)(33, 142)(34, 133)(35, 152)(36, 143)(37, 146)(38, 137)(39, 156)(40, 147)(41, 150)(42, 141)(43, 160)(44, 151)(45, 154)(46, 145)(47, 162)(48, 155)(49, 158)(50, 149)(51, 153)(52, 159)(53, 157)(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, 54, 4, 54 ), ( 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.769
Graph:: bipartite
	v = 29 e = 108 f = 29
	degree seq :: [ 4^27, 54^2 ]

E26.778 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {27, 54, 54})
Quotient :: edge
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1^-1)^2, (T2, T1^-1), (F * T2)^2, T1^2 * T2^-2, (F * T1)^2, T2^12 * T1 * T2^14, 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 ]
Map:: non-degenerate
	R = (1, 3, 6, 12, 15, 20, 23, 28, 31, 36, 39, 44, 47, 52, 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, 54, 49, 46, 41, 38, 33, 30, 25, 22, 17, 14, 9, 5)(55, 56, 60, 65, 69, 73, 77, 81, 85, 89, 93, 97, 101, 105, 107, 103, 99, 95, 91, 87, 83, 79, 75, 71, 67, 63, 58)(57, 61, 66, 70, 74, 78, 82, 86, 90, 94, 98, 102, 106, 108, 104, 100, 96, 92, 88, 84, 80, 76, 72, 68, 64, 59, 62)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 108^27 ), ( 108^54 ) }
Outer automorphisms :: reflexible
Dual of E26.799
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 54 f = 1
	degree seq :: [ 27^2, 54 ]

E26.779 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {27, 54, 54})
Quotient :: edge
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^3 * T2^6, T1^7 * T2^-4, T1^7 * T2^-4, T2^16 * T1^-1, T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-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 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 38, 22, 36, 50, 44, 26, 43, 47, 32, 18, 8, 2, 7, 17, 31, 39, 23, 11, 21, 35, 49, 42, 54, 52, 46, 30, 16, 6, 15, 29, 40, 24, 12, 4, 10, 20, 34, 48, 53, 37, 51, 45, 28, 14, 27, 41, 25, 13, 5)(55, 56, 60, 68, 80, 96, 102, 87, 93, 78, 67, 72, 84, 99, 104, 89, 74, 63, 71, 83, 95, 101, 106, 91, 76, 65, 58)(57, 61, 69, 81, 97, 108, 107, 92, 77, 66, 59, 62, 70, 82, 98, 103, 88, 73, 85, 94, 79, 86, 100, 105, 90, 75, 64)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 108^27 ), ( 108^54 ) }
Outer automorphisms :: reflexible
Dual of E26.798
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 54 f = 1
	degree seq :: [ 27^2, 54 ]

E26.780 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {27, 54, 54})
Quotient :: edge
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^4 * T1^-1, T1 * T2 * T1^12 * T2, (T1^-1 * T2^-1)^54 ]
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, 51, 54, 46, 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)(55, 56, 60, 68, 76, 84, 92, 100, 107, 99, 91, 83, 75, 67, 63, 71, 79, 87, 95, 103, 105, 97, 89, 81, 73, 65, 58)(57, 61, 69, 77, 85, 93, 101, 106, 98, 90, 82, 74, 66, 59, 62, 70, 78, 86, 94, 102, 108, 104, 96, 88, 80, 72, 64)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 108^27 ), ( 108^54 ) }
Outer automorphisms :: reflexible
Dual of E26.797
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 54 f = 1
	degree seq :: [ 27^2, 54 ]

E26.781 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {27, 54, 54})
Quotient :: edge
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-2 * T1^5, T2^-3 * T1^-1 * T2^-6 * T1^-1 * T2^-1, (T1^-1 * T2^-1)^54 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 30, 40, 50, 43, 33, 23, 11, 21, 14, 26, 36, 46, 53, 49, 39, 29, 18, 8, 2, 7, 17, 28, 38, 48, 44, 34, 24, 12, 4, 10, 20, 31, 41, 51, 54, 52, 42, 32, 22, 16, 6, 15, 27, 37, 47, 45, 35, 25, 13, 5)(55, 56, 60, 68, 74, 63, 71, 81, 90, 95, 84, 92, 101, 107, 108, 104, 98, 89, 93, 96, 87, 78, 67, 72, 76, 65, 58)(57, 61, 69, 80, 85, 73, 82, 91, 100, 105, 94, 102, 99, 103, 106, 97, 88, 79, 83, 86, 77, 66, 59, 62, 70, 75, 64)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 108^27 ), ( 108^54 ) }
Outer automorphisms :: reflexible
Dual of E26.796
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 54 f = 1
	degree seq :: [ 27^2, 54 ]

E26.782 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {27, 54, 54})
Quotient :: edge
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, T1 * T2^2, (F * T1)^2, (F * T2)^2, T1^27 ]
Map:: non-degenerate
	R = (1, 3, 4, 8, 9, 12, 13, 16, 17, 20, 21, 24, 25, 28, 29, 32, 33, 36, 37, 40, 41, 44, 45, 48, 49, 52, 53, 54, 50, 51, 46, 47, 42, 43, 38, 39, 34, 35, 30, 31, 26, 27, 22, 23, 18, 19, 14, 15, 10, 11, 6, 7, 2, 5)(55, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 107, 103, 99, 95, 91, 87, 83, 79, 75, 71, 67, 63, 58)(57, 59, 61, 65, 69, 73, 77, 81, 85, 89, 93, 97, 101, 105, 108, 106, 102, 98, 94, 90, 86, 82, 78, 74, 70, 66, 62)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 108^27 ), ( 108^54 ) }
Outer automorphisms :: reflexible
Dual of E26.795
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 54 f = 1
	degree seq :: [ 27^2, 54 ]

E26.783 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {27, 54, 54})
Quotient :: edge
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T2^6 * T1 * T2^2, T1^4 * T2 * T1 * T2 * T1^2, T2^2 * T1^-1 * T2 * T1^-1 * T2^3 * T1^-4, T1 * T2^-1 * T1^2 * T2^2 * T1^-1 * T2^2 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 40, 24, 12, 4, 10, 20, 34, 47, 51, 39, 23, 11, 21, 35, 48, 52, 42, 26, 38, 22, 36, 49, 53, 43, 28, 14, 27, 37, 50, 54, 45, 30, 16, 6, 15, 29, 44, 46, 32, 18, 8, 2, 7, 17, 31, 41, 25, 13, 5)(55, 56, 60, 68, 80, 93, 78, 67, 72, 84, 97, 106, 101, 87, 95, 100, 108, 103, 89, 74, 63, 71, 83, 91, 76, 65, 58)(57, 61, 69, 81, 92, 77, 66, 59, 62, 70, 82, 96, 105, 94, 79, 86, 99, 107, 102, 88, 73, 85, 98, 104, 90, 75, 64)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 108^27 ), ( 108^54 ) }
Outer automorphisms :: reflexible
Dual of E26.794
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 54 f = 1
	degree seq :: [ 27^2, 54 ]

E26.784 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {27, 54, 54})
Quotient :: edge
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T1^4 * T2 * T1 * T2^3, T2^4 * T1^-1 * T2^6, T2 * T1^-1 * T2 * T1^-2 * T2^4 * T1^-3, (T1^-1 * T2^-1)^54 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 46, 45, 32, 18, 8, 2, 7, 17, 31, 37, 50, 54, 44, 30, 16, 6, 15, 29, 38, 22, 36, 49, 53, 43, 28, 14, 27, 39, 23, 11, 21, 35, 48, 52, 42, 26, 40, 24, 12, 4, 10, 20, 34, 47, 51, 41, 25, 13, 5)(55, 56, 60, 68, 80, 95, 99, 108, 103, 89, 74, 63, 71, 83, 93, 78, 67, 72, 84, 97, 106, 101, 87, 91, 76, 65, 58)(57, 61, 69, 81, 94, 79, 86, 98, 107, 102, 88, 73, 85, 92, 77, 66, 59, 62, 70, 82, 96, 105, 100, 104, 90, 75, 64)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 108^27 ), ( 108^54 ) }
Outer automorphisms :: reflexible
Dual of E26.793
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 54 f = 1
	degree seq :: [ 27^2, 54 ]

E26.785 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {27, 54, 54})
Quotient :: edge
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T1^-1 * T2^-2 * T1^-2 * T2^-4, T1^-2 * T2 * T1^-1 * T2 * T1^-5, 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 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 38, 22, 36, 42, 51, 53, 46, 30, 16, 6, 15, 29, 40, 24, 12, 4, 10, 20, 34, 48, 50, 37, 44, 26, 43, 47, 32, 18, 8, 2, 7, 17, 31, 39, 23, 11, 21, 35, 49, 54, 52, 45, 28, 14, 27, 41, 25, 13, 5)(55, 56, 60, 68, 80, 96, 89, 74, 63, 71, 83, 95, 101, 107, 108, 102, 87, 93, 78, 67, 72, 84, 99, 91, 76, 65, 58)(57, 61, 69, 81, 97, 105, 103, 88, 73, 85, 94, 79, 86, 100, 106, 104, 92, 77, 66, 59, 62, 70, 82, 98, 90, 75, 64)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 108^27 ), ( 108^54 ) }
Outer automorphisms :: reflexible
Dual of E26.792
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 54 f = 1
	degree seq :: [ 27^2, 54 ]

E26.786 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {27, 54, 54})
Quotient :: edge
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1), T2^-2 * T1^-4, T2^-12 * T1^3 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 27, 35, 43, 51, 47, 39, 31, 23, 14, 12, 4, 10, 20, 28, 36, 44, 52, 48, 40, 32, 24, 16, 6, 15, 11, 21, 29, 37, 45, 53, 50, 42, 34, 26, 18, 8, 2, 7, 17, 25, 33, 41, 49, 54, 46, 38, 30, 22, 13, 5)(55, 56, 60, 68, 67, 72, 78, 85, 84, 88, 94, 101, 100, 104, 106, 97, 103, 99, 90, 81, 87, 83, 74, 63, 71, 65, 58)(57, 61, 69, 66, 59, 62, 70, 77, 76, 80, 86, 93, 92, 96, 102, 105, 108, 107, 98, 89, 95, 91, 82, 73, 79, 75, 64)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 108^27 ), ( 108^54 ) }
Outer automorphisms :: reflexible
Dual of E26.791
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 54 f = 1
	degree seq :: [ 27^2, 54 ]

E26.787 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {27, 54, 54})
Quotient :: edge
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|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^-9 * T1^-1 * T2^-2, T2^4 * T1^-1 * T2^5 * T1^-2 * T2 * 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 * T1^2 * T2^-4 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 29, 39, 49, 42, 32, 22, 12, 4, 10, 20, 30, 40, 50, 52, 44, 34, 24, 14, 11, 21, 31, 41, 51, 54, 46, 36, 26, 16, 6, 15, 25, 35, 45, 53, 48, 38, 28, 18, 8, 2, 7, 17, 27, 37, 47, 43, 33, 23, 13, 5)(55, 56, 60, 68, 66, 59, 62, 70, 78, 76, 67, 72, 80, 88, 86, 77, 82, 90, 98, 96, 87, 92, 100, 106, 103, 97, 102, 108, 104, 93, 101, 107, 105, 94, 83, 91, 99, 95, 84, 73, 81, 89, 85, 74, 63, 71, 79, 75, 64, 57, 61, 69, 65, 58)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.801
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.788 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {27, 54, 54})
Quotient :: edge
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1), (F * T1)^2, T2 * T1^-3 * T2^-1 * T1^3, T1^-3 * T2 * T1^-4, T1^2 * T2^-2 * T1^-1 * T2^3 * T1^-1 * T2^-1, T2^6 * T1^-1 * T2 * T1^-1 * T2, 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 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 44, 30, 16, 6, 15, 29, 43, 54, 48, 36, 22, 26, 40, 51, 50, 38, 24, 12, 4, 10, 20, 34, 46, 32, 18, 8, 2, 7, 17, 31, 45, 53, 42, 28, 14, 27, 41, 52, 49, 37, 23, 11, 21, 35, 47, 39, 25, 13, 5)(55, 56, 60, 68, 80, 75, 64, 57, 61, 69, 81, 94, 89, 74, 63, 71, 83, 95, 105, 101, 88, 73, 85, 97, 106, 104, 93, 100, 87, 99, 108, 103, 92, 79, 86, 98, 107, 102, 91, 78, 67, 72, 84, 96, 90, 77, 66, 59, 62, 70, 82, 76, 65, 58)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.802
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.789 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {27, 54, 54})
Quotient :: edge
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 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 * T2^2 * T1^3, T1^-4 * T2 * T1^-9, T1^-3 * T2^21 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 11, 21, 28, 35, 30, 37, 44, 51, 46, 47, 53, 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, 54, 49, 39, 48, 42, 33, 23, 32, 26, 16, 6, 15, 13, 5)(55, 56, 60, 68, 77, 85, 93, 101, 99, 91, 83, 75, 64, 57, 61, 69, 78, 86, 94, 102, 107, 106, 98, 90, 82, 74, 63, 71, 67, 72, 80, 88, 96, 104, 108, 105, 97, 89, 81, 73, 66, 59, 62, 70, 79, 87, 95, 103, 100, 92, 84, 76, 65, 58)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.800
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.790 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {27, 54, 54})
Quotient :: edge
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1), (F * T1)^2, T2^-3 * T1^3, T2^-1 * T1^-17, 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, T2^54 ]
Map:: non-degenerate
	R = (1, 3, 9, 14, 23, 30, 34, 41, 48, 52, 49, 45, 38, 31, 27, 20, 11, 18, 8, 2, 7, 17, 22, 29, 36, 40, 47, 54, 50, 43, 39, 32, 25, 21, 12, 4, 10, 16, 6, 15, 24, 28, 35, 42, 46, 53, 51, 44, 37, 33, 26, 19, 13, 5)(55, 56, 60, 68, 76, 82, 88, 94, 100, 106, 104, 98, 92, 86, 80, 74, 66, 59, 62, 70, 63, 71, 78, 84, 90, 96, 102, 108, 105, 99, 93, 87, 81, 75, 67, 72, 64, 57, 61, 69, 77, 83, 89, 95, 101, 107, 103, 97, 91, 85, 79, 73, 65, 58)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.803
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.791 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {27, 54, 54})
Quotient :: loop
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1^-1)^2, (T2, T1^-1), (F * T2)^2, T1^2 * T2^-2, (F * T1)^2, T2^12 * T1 * T2^14, 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 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 6, 60, 12, 66, 15, 69, 20, 74, 23, 77, 28, 82, 31, 85, 36, 90, 39, 93, 44, 98, 47, 101, 52, 106, 53, 107, 50, 104, 45, 99, 42, 96, 37, 91, 34, 88, 29, 83, 26, 80, 21, 75, 18, 72, 13, 67, 10, 64, 4, 58, 8, 62, 2, 56, 7, 61, 11, 65, 16, 70, 19, 73, 24, 78, 27, 81, 32, 86, 35, 89, 40, 94, 43, 97, 48, 102, 51, 105, 54, 108, 49, 103, 46, 100, 41, 95, 38, 92, 33, 87, 30, 84, 25, 79, 22, 76, 17, 71, 14, 68, 9, 63, 5, 59)
	L = (1, 56)(2, 60)(3, 61)(4, 55)(5, 62)(6, 65)(7, 66)(8, 57)(9, 58)(10, 59)(11, 69)(12, 70)(13, 63)(14, 64)(15, 73)(16, 74)(17, 67)(18, 68)(19, 77)(20, 78)(21, 71)(22, 72)(23, 81)(24, 82)(25, 75)(26, 76)(27, 85)(28, 86)(29, 79)(30, 80)(31, 89)(32, 90)(33, 83)(34, 84)(35, 93)(36, 94)(37, 87)(38, 88)(39, 97)(40, 98)(41, 91)(42, 92)(43, 101)(44, 102)(45, 95)(46, 96)(47, 105)(48, 106)(49, 99)(50, 100)(51, 107)(52, 108)(53, 103)(54, 104)
	local type(s) :: { ( 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.786
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 54 f = 3
	degree seq :: [ 108 ]

E26.792 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {27, 54, 54})
Quotient :: loop
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^3 * T2^6, T1^7 * T2^-4, T1^7 * T2^-4, T2^16 * T1^-1, T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-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 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 9, 63, 19, 73, 33, 87, 38, 92, 22, 76, 36, 90, 50, 104, 44, 98, 26, 80, 43, 97, 47, 101, 32, 86, 18, 72, 8, 62, 2, 56, 7, 61, 17, 71, 31, 85, 39, 93, 23, 77, 11, 65, 21, 75, 35, 89, 49, 103, 42, 96, 54, 108, 52, 106, 46, 100, 30, 84, 16, 70, 6, 60, 15, 69, 29, 83, 40, 94, 24, 78, 12, 66, 4, 58, 10, 64, 20, 74, 34, 88, 48, 102, 53, 107, 37, 91, 51, 105, 45, 99, 28, 82, 14, 68, 27, 81, 41, 95, 25, 79, 13, 67, 5, 59)
	L = (1, 56)(2, 60)(3, 61)(4, 55)(5, 62)(6, 68)(7, 69)(8, 70)(9, 71)(10, 57)(11, 58)(12, 59)(13, 72)(14, 80)(15, 81)(16, 82)(17, 83)(18, 84)(19, 85)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 86)(26, 96)(27, 97)(28, 98)(29, 95)(30, 99)(31, 94)(32, 100)(33, 93)(34, 73)(35, 74)(36, 75)(37, 76)(38, 77)(39, 78)(40, 79)(41, 101)(42, 102)(43, 108)(44, 103)(45, 104)(46, 105)(47, 106)(48, 87)(49, 88)(50, 89)(51, 90)(52, 91)(53, 92)(54, 107)
	local type(s) :: { ( 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.785
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 54 f = 3
	degree seq :: [ 108 ]

E26.793 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {27, 54, 54})
Quotient :: loop
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^4 * T1^-1, T1 * T2 * T1^12 * T2, (T1^-1 * T2^-1)^54 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 9, 63, 8, 62, 2, 56, 7, 61, 17, 71, 16, 70, 6, 60, 15, 69, 25, 79, 24, 78, 14, 68, 23, 77, 33, 87, 32, 86, 22, 76, 31, 85, 41, 95, 40, 94, 30, 84, 39, 93, 49, 103, 48, 102, 38, 92, 47, 101, 51, 105, 54, 108, 46, 100, 52, 106, 43, 97, 50, 104, 53, 107, 44, 98, 35, 89, 42, 96, 45, 99, 36, 90, 27, 81, 34, 88, 37, 91, 28, 82, 19, 73, 26, 80, 29, 83, 20, 74, 11, 65, 18, 72, 21, 75, 12, 66, 4, 58, 10, 64, 13, 67, 5, 59)
	L = (1, 56)(2, 60)(3, 61)(4, 55)(5, 62)(6, 68)(7, 69)(8, 70)(9, 71)(10, 57)(11, 58)(12, 59)(13, 63)(14, 76)(15, 77)(16, 78)(17, 79)(18, 64)(19, 65)(20, 66)(21, 67)(22, 84)(23, 85)(24, 86)(25, 87)(26, 72)(27, 73)(28, 74)(29, 75)(30, 92)(31, 93)(32, 94)(33, 95)(34, 80)(35, 81)(36, 82)(37, 83)(38, 100)(39, 101)(40, 102)(41, 103)(42, 88)(43, 89)(44, 90)(45, 91)(46, 107)(47, 106)(48, 108)(49, 105)(50, 96)(51, 97)(52, 98)(53, 99)(54, 104)
	local type(s) :: { ( 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.784
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 54 f = 3
	degree seq :: [ 108 ]

E26.794 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {27, 54, 54})
Quotient :: loop
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-2 * T1^5, T2^-3 * T1^-1 * T2^-6 * T1^-1 * T2^-1, (T1^-1 * T2^-1)^54 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 9, 63, 19, 73, 30, 84, 40, 94, 50, 104, 43, 97, 33, 87, 23, 77, 11, 65, 21, 75, 14, 68, 26, 80, 36, 90, 46, 100, 53, 107, 49, 103, 39, 93, 29, 83, 18, 72, 8, 62, 2, 56, 7, 61, 17, 71, 28, 82, 38, 92, 48, 102, 44, 98, 34, 88, 24, 78, 12, 66, 4, 58, 10, 64, 20, 74, 31, 85, 41, 95, 51, 105, 54, 108, 52, 106, 42, 96, 32, 86, 22, 76, 16, 70, 6, 60, 15, 69, 27, 81, 37, 91, 47, 101, 45, 99, 35, 89, 25, 79, 13, 67, 5, 59)
	L = (1, 56)(2, 60)(3, 61)(4, 55)(5, 62)(6, 68)(7, 69)(8, 70)(9, 71)(10, 57)(11, 58)(12, 59)(13, 72)(14, 74)(15, 80)(16, 75)(17, 81)(18, 76)(19, 82)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 83)(26, 85)(27, 90)(28, 91)(29, 86)(30, 92)(31, 73)(32, 77)(33, 78)(34, 79)(35, 93)(36, 95)(37, 100)(38, 101)(39, 96)(40, 102)(41, 84)(42, 87)(43, 88)(44, 89)(45, 103)(46, 105)(47, 107)(48, 99)(49, 106)(50, 98)(51, 94)(52, 97)(53, 108)(54, 104)
	local type(s) :: { ( 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.783
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 54 f = 3
	degree seq :: [ 108 ]

E26.795 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {27, 54, 54})
Quotient :: loop
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, T1 * T2^2, (F * T1)^2, (F * T2)^2, T1^27 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 4, 58, 8, 62, 9, 63, 12, 66, 13, 67, 16, 70, 17, 71, 20, 74, 21, 75, 24, 78, 25, 79, 28, 82, 29, 83, 32, 86, 33, 87, 36, 90, 37, 91, 40, 94, 41, 95, 44, 98, 45, 99, 48, 102, 49, 103, 52, 106, 53, 107, 54, 108, 50, 104, 51, 105, 46, 100, 47, 101, 42, 96, 43, 97, 38, 92, 39, 93, 34, 88, 35, 89, 30, 84, 31, 85, 26, 80, 27, 81, 22, 76, 23, 77, 18, 72, 19, 73, 14, 68, 15, 69, 10, 64, 11, 65, 6, 60, 7, 61, 2, 56, 5, 59)
	L = (1, 56)(2, 60)(3, 59)(4, 55)(5, 61)(6, 64)(7, 65)(8, 57)(9, 58)(10, 68)(11, 69)(12, 62)(13, 63)(14, 72)(15, 73)(16, 66)(17, 67)(18, 76)(19, 77)(20, 70)(21, 71)(22, 80)(23, 81)(24, 74)(25, 75)(26, 84)(27, 85)(28, 78)(29, 79)(30, 88)(31, 89)(32, 82)(33, 83)(34, 92)(35, 93)(36, 86)(37, 87)(38, 96)(39, 97)(40, 90)(41, 91)(42, 100)(43, 101)(44, 94)(45, 95)(46, 104)(47, 105)(48, 98)(49, 99)(50, 107)(51, 108)(52, 102)(53, 103)(54, 106)
	local type(s) :: { ( 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.782
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 54 f = 3
	degree seq :: [ 108 ]

E26.796 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {27, 54, 54})
Quotient :: loop
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T2^6 * T1 * T2^2, T1^4 * T2 * T1 * T2 * T1^2, T2^2 * T1^-1 * T2 * T1^-1 * T2^3 * T1^-4, T1 * T2^-1 * T1^2 * T2^2 * T1^-1 * T2^2 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 9, 63, 19, 73, 33, 87, 40, 94, 24, 78, 12, 66, 4, 58, 10, 64, 20, 74, 34, 88, 47, 101, 51, 105, 39, 93, 23, 77, 11, 65, 21, 75, 35, 89, 48, 102, 52, 106, 42, 96, 26, 80, 38, 92, 22, 76, 36, 90, 49, 103, 53, 107, 43, 97, 28, 82, 14, 68, 27, 81, 37, 91, 50, 104, 54, 108, 45, 99, 30, 84, 16, 70, 6, 60, 15, 69, 29, 83, 44, 98, 46, 100, 32, 86, 18, 72, 8, 62, 2, 56, 7, 61, 17, 71, 31, 85, 41, 95, 25, 79, 13, 67, 5, 59)
	L = (1, 56)(2, 60)(3, 61)(4, 55)(5, 62)(6, 68)(7, 69)(8, 70)(9, 71)(10, 57)(11, 58)(12, 59)(13, 72)(14, 80)(15, 81)(16, 82)(17, 83)(18, 84)(19, 85)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 86)(26, 93)(27, 92)(28, 96)(29, 91)(30, 97)(31, 98)(32, 99)(33, 95)(34, 73)(35, 74)(36, 75)(37, 76)(38, 77)(39, 78)(40, 79)(41, 100)(42, 105)(43, 106)(44, 104)(45, 107)(46, 108)(47, 87)(48, 88)(49, 89)(50, 90)(51, 94)(52, 101)(53, 102)(54, 103)
	local type(s) :: { ( 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.781
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 54 f = 3
	degree seq :: [ 108 ]

E26.797 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {27, 54, 54})
Quotient :: loop
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T1^4 * T2 * T1 * T2^3, T2^4 * T1^-1 * T2^6, T2 * T1^-1 * T2 * T1^-2 * T2^4 * T1^-3, (T1^-1 * T2^-1)^54 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 9, 63, 19, 73, 33, 87, 46, 100, 45, 99, 32, 86, 18, 72, 8, 62, 2, 56, 7, 61, 17, 71, 31, 85, 37, 91, 50, 104, 54, 108, 44, 98, 30, 84, 16, 70, 6, 60, 15, 69, 29, 83, 38, 92, 22, 76, 36, 90, 49, 103, 53, 107, 43, 97, 28, 82, 14, 68, 27, 81, 39, 93, 23, 77, 11, 65, 21, 75, 35, 89, 48, 102, 52, 106, 42, 96, 26, 80, 40, 94, 24, 78, 12, 66, 4, 58, 10, 64, 20, 74, 34, 88, 47, 101, 51, 105, 41, 95, 25, 79, 13, 67, 5, 59)
	L = (1, 56)(2, 60)(3, 61)(4, 55)(5, 62)(6, 68)(7, 69)(8, 70)(9, 71)(10, 57)(11, 58)(12, 59)(13, 72)(14, 80)(15, 81)(16, 82)(17, 83)(18, 84)(19, 85)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 86)(26, 95)(27, 94)(28, 96)(29, 93)(30, 97)(31, 92)(32, 98)(33, 91)(34, 73)(35, 74)(36, 75)(37, 76)(38, 77)(39, 78)(40, 79)(41, 99)(42, 105)(43, 106)(44, 107)(45, 108)(46, 104)(47, 87)(48, 88)(49, 89)(50, 90)(51, 100)(52, 101)(53, 102)(54, 103)
	local type(s) :: { ( 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.780
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 54 f = 3
	degree seq :: [ 108 ]

E26.798 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {27, 54, 54})
Quotient :: loop
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T1^-1 * T2^-2 * T1^-2 * T2^-4, T1^-2 * T2 * T1^-1 * T2 * T1^-5, 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 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 9, 63, 19, 73, 33, 87, 38, 92, 22, 76, 36, 90, 42, 96, 51, 105, 53, 107, 46, 100, 30, 84, 16, 70, 6, 60, 15, 69, 29, 83, 40, 94, 24, 78, 12, 66, 4, 58, 10, 64, 20, 74, 34, 88, 48, 102, 50, 104, 37, 91, 44, 98, 26, 80, 43, 97, 47, 101, 32, 86, 18, 72, 8, 62, 2, 56, 7, 61, 17, 71, 31, 85, 39, 93, 23, 77, 11, 65, 21, 75, 35, 89, 49, 103, 54, 108, 52, 106, 45, 99, 28, 82, 14, 68, 27, 81, 41, 95, 25, 79, 13, 67, 5, 59)
	L = (1, 56)(2, 60)(3, 61)(4, 55)(5, 62)(6, 68)(7, 69)(8, 70)(9, 71)(10, 57)(11, 58)(12, 59)(13, 72)(14, 80)(15, 81)(16, 82)(17, 83)(18, 84)(19, 85)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 86)(26, 96)(27, 97)(28, 98)(29, 95)(30, 99)(31, 94)(32, 100)(33, 93)(34, 73)(35, 74)(36, 75)(37, 76)(38, 77)(39, 78)(40, 79)(41, 101)(42, 89)(43, 105)(44, 90)(45, 91)(46, 106)(47, 107)(48, 87)(49, 88)(50, 92)(51, 103)(52, 104)(53, 108)(54, 102)
	local type(s) :: { ( 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.779
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 54 f = 3
	degree seq :: [ 108 ]

E26.799 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {27, 54, 54})
Quotient :: loop
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1), T2^-2 * T1^-4, T2^-12 * T1^3 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 9, 63, 19, 73, 27, 81, 35, 89, 43, 97, 51, 105, 47, 101, 39, 93, 31, 85, 23, 77, 14, 68, 12, 66, 4, 58, 10, 64, 20, 74, 28, 82, 36, 90, 44, 98, 52, 106, 48, 102, 40, 94, 32, 86, 24, 78, 16, 70, 6, 60, 15, 69, 11, 65, 21, 75, 29, 83, 37, 91, 45, 99, 53, 107, 50, 104, 42, 96, 34, 88, 26, 80, 18, 72, 8, 62, 2, 56, 7, 61, 17, 71, 25, 79, 33, 87, 41, 95, 49, 103, 54, 108, 46, 100, 38, 92, 30, 84, 22, 76, 13, 67, 5, 59)
	L = (1, 56)(2, 60)(3, 61)(4, 55)(5, 62)(6, 68)(7, 69)(8, 70)(9, 71)(10, 57)(11, 58)(12, 59)(13, 72)(14, 67)(15, 66)(16, 77)(17, 65)(18, 78)(19, 79)(20, 63)(21, 64)(22, 80)(23, 76)(24, 85)(25, 75)(26, 86)(27, 87)(28, 73)(29, 74)(30, 88)(31, 84)(32, 93)(33, 83)(34, 94)(35, 95)(36, 81)(37, 82)(38, 96)(39, 92)(40, 101)(41, 91)(42, 102)(43, 103)(44, 89)(45, 90)(46, 104)(47, 100)(48, 105)(49, 99)(50, 106)(51, 108)(52, 97)(53, 98)(54, 107)
	local type(s) :: { ( 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.778
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 54 f = 3
	degree seq :: [ 108 ]

E26.800 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {27, 54, 54})
Quotient :: loop
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, T1^2 * T2^-2, (T2, T1^-1), (F * T2)^2, (F * T1)^2, T2^-1 * T1^-26, T2^27, 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 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 6, 60, 12, 66, 15, 69, 20, 74, 23, 77, 28, 82, 31, 85, 36, 90, 39, 93, 44, 98, 47, 101, 52, 106, 54, 108, 49, 103, 46, 100, 41, 95, 38, 92, 33, 87, 30, 84, 25, 79, 22, 76, 17, 71, 14, 68, 9, 63, 5, 59)(2, 56, 7, 61, 11, 65, 16, 70, 19, 73, 24, 78, 27, 81, 32, 86, 35, 89, 40, 94, 43, 97, 48, 102, 51, 105, 53, 107, 50, 104, 45, 99, 42, 96, 37, 91, 34, 88, 29, 83, 26, 80, 21, 75, 18, 72, 13, 67, 10, 64, 4, 58, 8, 62)
	L = (1, 56)(2, 60)(3, 61)(4, 55)(5, 62)(6, 65)(7, 66)(8, 57)(9, 58)(10, 59)(11, 69)(12, 70)(13, 63)(14, 64)(15, 73)(16, 74)(17, 67)(18, 68)(19, 77)(20, 78)(21, 71)(22, 72)(23, 81)(24, 82)(25, 75)(26, 76)(27, 85)(28, 86)(29, 79)(30, 80)(31, 89)(32, 90)(33, 83)(34, 84)(35, 93)(36, 94)(37, 87)(38, 88)(39, 97)(40, 98)(41, 91)(42, 92)(43, 101)(44, 102)(45, 95)(46, 96)(47, 105)(48, 106)(49, 99)(50, 100)(51, 108)(52, 107)(53, 103)(54, 104)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.789
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.801 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {27, 54, 54})
Quotient :: loop
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-1 * T2 * T1^-3, T2^6 * T1^-2 * T2^-1 * T1^-1 * T2^-4 * T1^-1, T1 * T2 * T1 * T2^12, (T1^-1 * T2^-1)^54 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 9, 63, 17, 71, 25, 79, 33, 87, 41, 95, 49, 103, 51, 105, 43, 97, 35, 89, 27, 81, 19, 73, 11, 65, 6, 60, 14, 68, 22, 76, 30, 84, 38, 92, 46, 100, 53, 107, 45, 99, 37, 91, 29, 83, 21, 75, 13, 67, 5, 59)(2, 56, 7, 61, 15, 69, 23, 77, 31, 85, 39, 93, 47, 101, 52, 106, 44, 98, 36, 90, 28, 82, 20, 74, 12, 66, 4, 58, 10, 64, 18, 72, 26, 80, 34, 88, 42, 96, 50, 104, 54, 108, 48, 102, 40, 94, 32, 86, 24, 78, 16, 70, 8, 62)
	L = (1, 56)(2, 60)(3, 61)(4, 55)(5, 62)(6, 64)(7, 68)(8, 65)(9, 69)(10, 57)(11, 58)(12, 59)(13, 70)(14, 72)(15, 76)(16, 73)(17, 77)(18, 63)(19, 66)(20, 67)(21, 78)(22, 80)(23, 84)(24, 81)(25, 85)(26, 71)(27, 74)(28, 75)(29, 86)(30, 88)(31, 92)(32, 89)(33, 93)(34, 79)(35, 82)(36, 83)(37, 94)(38, 96)(39, 100)(40, 97)(41, 101)(42, 87)(43, 90)(44, 91)(45, 102)(46, 104)(47, 107)(48, 105)(49, 106)(50, 95)(51, 98)(52, 99)(53, 108)(54, 103)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.787
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.802 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {27, 54, 54})
Quotient :: loop
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T2)^2, (T2, T1), (F * T1)^2, T2 * T1^-1 * T2^4 * T1^-1, T1 * T2 * T1^9 * T2, (T1^-1 * T2^-1)^54 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 9, 63, 19, 73, 16, 70, 6, 60, 15, 69, 29, 83, 40, 94, 38, 92, 26, 80, 37, 91, 49, 103, 54, 108, 53, 107, 46, 100, 43, 97, 32, 86, 41, 95, 45, 99, 34, 88, 23, 77, 11, 65, 21, 75, 25, 79, 13, 67, 5, 59)(2, 56, 7, 61, 17, 71, 30, 84, 28, 82, 14, 68, 27, 81, 39, 93, 50, 104, 48, 102, 36, 90, 47, 101, 42, 96, 51, 105, 52, 106, 44, 98, 33, 87, 22, 76, 31, 85, 35, 89, 24, 78, 12, 66, 4, 58, 10, 64, 20, 74, 18, 72, 8, 62)
	L = (1, 56)(2, 60)(3, 61)(4, 55)(5, 62)(6, 68)(7, 69)(8, 70)(9, 71)(10, 57)(11, 58)(12, 59)(13, 72)(14, 80)(15, 81)(16, 82)(17, 83)(18, 73)(19, 84)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 74)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 85)(42, 86)(43, 87)(44, 88)(45, 89)(46, 98)(47, 97)(48, 107)(49, 96)(50, 108)(51, 95)(52, 99)(53, 106)(54, 105)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.788
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.803 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {27, 54, 54})
Quotient :: loop
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T2^-1 * T1^-1 * T2^-1 * T1^-5 * T2^-1, T2^7 * T1^-1 * T2 * T1^-1, T1^2 * T2^-1 * T1 * T2^-1 * T1^4 * T2^-3 * T1, (T1^-1 * T2^-1)^54 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 9, 63, 19, 73, 33, 87, 44, 98, 30, 84, 16, 70, 6, 60, 15, 69, 29, 83, 37, 91, 49, 103, 54, 108, 51, 105, 42, 96, 26, 80, 39, 93, 23, 77, 11, 65, 21, 75, 35, 89, 47, 101, 41, 95, 25, 79, 13, 67, 5, 59)(2, 56, 7, 61, 17, 71, 31, 85, 45, 99, 52, 106, 43, 97, 28, 82, 14, 68, 27, 81, 38, 92, 22, 76, 36, 90, 48, 102, 53, 107, 50, 104, 40, 94, 24, 78, 12, 66, 4, 58, 10, 64, 20, 74, 34, 88, 46, 100, 32, 86, 18, 72, 8, 62)
	L = (1, 56)(2, 60)(3, 61)(4, 55)(5, 62)(6, 68)(7, 69)(8, 70)(9, 71)(10, 57)(11, 58)(12, 59)(13, 72)(14, 80)(15, 81)(16, 82)(17, 83)(18, 84)(19, 85)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 86)(26, 94)(27, 93)(28, 96)(29, 92)(30, 97)(31, 91)(32, 98)(33, 99)(34, 73)(35, 74)(36, 75)(37, 76)(38, 77)(39, 78)(40, 79)(41, 100)(42, 104)(43, 105)(44, 106)(45, 103)(46, 87)(47, 88)(48, 89)(49, 90)(50, 95)(51, 107)(52, 108)(53, 101)(54, 102)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E26.790
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.804 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y2^-2 * Y3^-2, (R * Y1)^2, (Y2^-1 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2 * Y1^-1, (R * Y2)^2, (R * Y3)^2, Y3^-2 * Y1^11 * Y2^2 * Y3^-12, Y3^-2 * Y1^25, Y3^-2 * Y2^52, 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 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 11, 65, 15, 69, 19, 73, 23, 77, 27, 81, 31, 85, 35, 89, 39, 93, 43, 97, 47, 101, 51, 105, 53, 107, 49, 103, 45, 99, 41, 95, 37, 91, 33, 87, 29, 83, 25, 79, 21, 75, 17, 71, 13, 67, 9, 63, 4, 58)(3, 57, 7, 61, 12, 66, 16, 70, 20, 74, 24, 78, 28, 82, 32, 86, 36, 90, 40, 94, 44, 98, 48, 102, 52, 106, 54, 108, 50, 104, 46, 100, 42, 96, 38, 92, 34, 88, 30, 84, 26, 80, 22, 76, 18, 72, 14, 68, 10, 64, 5, 59, 8, 62)(109, 163, 111, 165, 114, 168, 120, 174, 123, 177, 128, 182, 131, 185, 136, 190, 139, 193, 144, 198, 147, 201, 152, 206, 155, 209, 160, 214, 161, 215, 158, 212, 153, 207, 150, 204, 145, 199, 142, 196, 137, 191, 134, 188, 129, 183, 126, 180, 121, 175, 118, 172, 112, 166, 116, 170, 110, 164, 115, 169, 119, 173, 124, 178, 127, 181, 132, 186, 135, 189, 140, 194, 143, 197, 148, 202, 151, 205, 156, 210, 159, 213, 162, 216, 157, 211, 154, 208, 149, 203, 146, 200, 141, 195, 138, 192, 133, 187, 130, 184, 125, 179, 122, 176, 117, 171, 113, 167)
	L = (1, 112)(2, 109)(3, 116)(4, 117)(5, 118)(6, 110)(7, 111)(8, 113)(9, 121)(10, 122)(11, 114)(12, 115)(13, 125)(14, 126)(15, 119)(16, 120)(17, 129)(18, 130)(19, 123)(20, 124)(21, 133)(22, 134)(23, 127)(24, 128)(25, 137)(26, 138)(27, 131)(28, 132)(29, 141)(30, 142)(31, 135)(32, 136)(33, 145)(34, 146)(35, 139)(36, 140)(37, 149)(38, 150)(39, 143)(40, 144)(41, 153)(42, 154)(43, 147)(44, 148)(45, 157)(46, 158)(47, 151)(48, 152)(49, 161)(50, 162)(51, 155)(52, 156)(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) :: { ( 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108 ), ( 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108 ) }
Outer automorphisms :: reflexible
Dual of E26.829
Graph:: bipartite
	v = 3 e = 108 f = 55
	degree seq :: [ 54^2, 108 ]

E26.805 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^2 * Y3^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^27, Y1^27 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 10, 64, 14, 68, 18, 72, 22, 76, 26, 80, 30, 84, 34, 88, 38, 92, 42, 96, 46, 100, 50, 104, 53, 107, 49, 103, 45, 99, 41, 95, 37, 91, 33, 87, 29, 83, 25, 79, 21, 75, 17, 71, 13, 67, 9, 63, 4, 58)(3, 57, 5, 59, 7, 61, 11, 65, 15, 69, 19, 73, 23, 77, 27, 81, 31, 85, 35, 89, 39, 93, 43, 97, 47, 101, 51, 105, 54, 108, 52, 106, 48, 102, 44, 98, 40, 94, 36, 90, 32, 86, 28, 82, 24, 78, 20, 74, 16, 70, 12, 66, 8, 62)(109, 163, 111, 165, 112, 166, 116, 170, 117, 171, 120, 174, 121, 175, 124, 178, 125, 179, 128, 182, 129, 183, 132, 186, 133, 187, 136, 190, 137, 191, 140, 194, 141, 195, 144, 198, 145, 199, 148, 202, 149, 203, 152, 206, 153, 207, 156, 210, 157, 211, 160, 214, 161, 215, 162, 216, 158, 212, 159, 213, 154, 208, 155, 209, 150, 204, 151, 205, 146, 200, 147, 201, 142, 196, 143, 197, 138, 192, 139, 193, 134, 188, 135, 189, 130, 184, 131, 185, 126, 180, 127, 181, 122, 176, 123, 177, 118, 172, 119, 173, 114, 168, 115, 169, 110, 164, 113, 167)
	L = (1, 112)(2, 109)(3, 116)(4, 117)(5, 111)(6, 110)(7, 113)(8, 120)(9, 121)(10, 114)(11, 115)(12, 124)(13, 125)(14, 118)(15, 119)(16, 128)(17, 129)(18, 122)(19, 123)(20, 132)(21, 133)(22, 126)(23, 127)(24, 136)(25, 137)(26, 130)(27, 131)(28, 140)(29, 141)(30, 134)(31, 135)(32, 144)(33, 145)(34, 138)(35, 139)(36, 148)(37, 149)(38, 142)(39, 143)(40, 152)(41, 153)(42, 146)(43, 147)(44, 156)(45, 157)(46, 150)(47, 151)(48, 160)(49, 161)(50, 154)(51, 155)(52, 162)(53, 158)(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) :: { ( 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108 ), ( 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108 ) }
Outer automorphisms :: reflexible
Dual of E26.825
Graph:: bipartite
	v = 3 e = 108 f = 55
	degree seq :: [ 54^2, 108 ]

E26.806 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (Y2, Y3^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2, Y1^-1), Y2^4 * Y3, Y2 * Y3^-3 * Y2^3 * Y1^-4, Y2 * Y1 * Y2 * Y1^12, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^5 * Y2^-2 * Y3^5 * 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 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 22, 76, 30, 84, 38, 92, 46, 100, 53, 107, 45, 99, 37, 91, 29, 83, 21, 75, 13, 67, 9, 63, 17, 71, 25, 79, 33, 87, 41, 95, 49, 103, 51, 105, 43, 97, 35, 89, 27, 81, 19, 73, 11, 65, 4, 58)(3, 57, 7, 61, 15, 69, 23, 77, 31, 85, 39, 93, 47, 101, 52, 106, 44, 98, 36, 90, 28, 82, 20, 74, 12, 66, 5, 59, 8, 62, 16, 70, 24, 78, 32, 86, 40, 94, 48, 102, 54, 108, 50, 104, 42, 96, 34, 88, 26, 80, 18, 72, 10, 64)(109, 163, 111, 165, 117, 171, 116, 170, 110, 164, 115, 169, 125, 179, 124, 178, 114, 168, 123, 177, 133, 187, 132, 186, 122, 176, 131, 185, 141, 195, 140, 194, 130, 184, 139, 193, 149, 203, 148, 202, 138, 192, 147, 201, 157, 211, 156, 210, 146, 200, 155, 209, 159, 213, 162, 216, 154, 208, 160, 214, 151, 205, 158, 212, 161, 215, 152, 206, 143, 197, 150, 204, 153, 207, 144, 198, 135, 189, 142, 196, 145, 199, 136, 190, 127, 181, 134, 188, 137, 191, 128, 182, 119, 173, 126, 180, 129, 183, 120, 174, 112, 166, 118, 172, 121, 175, 113, 167)
	L = (1, 112)(2, 109)(3, 118)(4, 119)(5, 120)(6, 110)(7, 111)(8, 113)(9, 121)(10, 126)(11, 127)(12, 128)(13, 129)(14, 114)(15, 115)(16, 116)(17, 117)(18, 134)(19, 135)(20, 136)(21, 137)(22, 122)(23, 123)(24, 124)(25, 125)(26, 142)(27, 143)(28, 144)(29, 145)(30, 130)(31, 131)(32, 132)(33, 133)(34, 150)(35, 151)(36, 152)(37, 153)(38, 138)(39, 139)(40, 140)(41, 141)(42, 158)(43, 159)(44, 160)(45, 161)(46, 146)(47, 147)(48, 148)(49, 149)(50, 162)(51, 157)(52, 155)(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) :: { ( 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108 ), ( 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108 ) }
Outer automorphisms :: reflexible
Dual of E26.827
Graph:: bipartite
	v = 3 e = 108 f = 55
	degree seq :: [ 54^2, 108 ]

E26.807 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (Y1^-1, Y2), (R * Y2)^2, Y1^4 * Y2^-2 * Y3^-1, Y2^-2 * Y1^2 * Y3^-3, Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y3, Y2^-1 * Y3 * Y2^-9 * Y1^-1, Y1 * Y2 * Y1 * Y2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * 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 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 20, 74, 9, 63, 17, 71, 27, 81, 36, 90, 41, 95, 30, 84, 38, 92, 47, 101, 53, 107, 54, 108, 50, 104, 44, 98, 35, 89, 39, 93, 42, 96, 33, 87, 24, 78, 13, 67, 18, 72, 22, 76, 11, 65, 4, 58)(3, 57, 7, 61, 15, 69, 26, 80, 31, 85, 19, 73, 28, 82, 37, 91, 46, 100, 51, 105, 40, 94, 48, 102, 45, 99, 49, 103, 52, 106, 43, 97, 34, 88, 25, 79, 29, 83, 32, 86, 23, 77, 12, 66, 5, 59, 8, 62, 16, 70, 21, 75, 10, 64)(109, 163, 111, 165, 117, 171, 127, 181, 138, 192, 148, 202, 158, 212, 151, 205, 141, 195, 131, 185, 119, 173, 129, 183, 122, 176, 134, 188, 144, 198, 154, 208, 161, 215, 157, 211, 147, 201, 137, 191, 126, 180, 116, 170, 110, 164, 115, 169, 125, 179, 136, 190, 146, 200, 156, 210, 152, 206, 142, 196, 132, 186, 120, 174, 112, 166, 118, 172, 128, 182, 139, 193, 149, 203, 159, 213, 162, 216, 160, 214, 150, 204, 140, 194, 130, 184, 124, 178, 114, 168, 123, 177, 135, 189, 145, 199, 155, 209, 153, 207, 143, 197, 133, 187, 121, 175, 113, 167)
	L = (1, 112)(2, 109)(3, 118)(4, 119)(5, 120)(6, 110)(7, 111)(8, 113)(9, 128)(10, 129)(11, 130)(12, 131)(13, 132)(14, 114)(15, 115)(16, 116)(17, 117)(18, 121)(19, 139)(20, 122)(21, 124)(22, 126)(23, 140)(24, 141)(25, 142)(26, 123)(27, 125)(28, 127)(29, 133)(30, 149)(31, 134)(32, 137)(33, 150)(34, 151)(35, 152)(36, 135)(37, 136)(38, 138)(39, 143)(40, 159)(41, 144)(42, 147)(43, 160)(44, 158)(45, 156)(46, 145)(47, 146)(48, 148)(49, 153)(50, 162)(51, 154)(52, 157)(53, 155)(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) :: { ( 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108 ), ( 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108 ) }
Outer automorphisms :: reflexible
Dual of E26.826
Graph:: bipartite
	v = 3 e = 108 f = 55
	degree seq :: [ 54^2, 108 ]

E26.808 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^-1 * Y3^-1, Y2^-1 * Y1^-1 * Y2 * Y3^-1, Y2 * Y1 * Y2^-1 * Y3, (R * Y2)^2, Y2 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y3^2 * Y2^-1 * Y3^-2 * Y2, Y2 * Y3^2 * Y2^-1 * Y3^-2, Y1^3 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y3, Y2^-1 * Y1^3 * Y2 * Y1^-3, Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2^4, Y1^-1 * Y2 * Y3^3 * Y2 * Y1^-4, Y2^2 * Y1^19, Y3^27, Y2^-1 * Y3 * 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 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 26, 80, 42, 96, 35, 89, 20, 74, 9, 63, 17, 71, 29, 83, 41, 95, 47, 101, 53, 107, 54, 108, 48, 102, 33, 87, 39, 93, 24, 78, 13, 67, 18, 72, 30, 84, 45, 99, 37, 91, 22, 76, 11, 65, 4, 58)(3, 57, 7, 61, 15, 69, 27, 81, 43, 97, 51, 105, 49, 103, 34, 88, 19, 73, 31, 85, 40, 94, 25, 79, 32, 86, 46, 100, 52, 106, 50, 104, 38, 92, 23, 77, 12, 66, 5, 59, 8, 62, 16, 70, 28, 82, 44, 98, 36, 90, 21, 75, 10, 64)(109, 163, 111, 165, 117, 171, 127, 181, 141, 195, 146, 200, 130, 184, 144, 198, 150, 204, 159, 213, 161, 215, 154, 208, 138, 192, 124, 178, 114, 168, 123, 177, 137, 191, 148, 202, 132, 186, 120, 174, 112, 166, 118, 172, 128, 182, 142, 196, 156, 210, 158, 212, 145, 199, 152, 206, 134, 188, 151, 205, 155, 209, 140, 194, 126, 180, 116, 170, 110, 164, 115, 169, 125, 179, 139, 193, 147, 201, 131, 185, 119, 173, 129, 183, 143, 197, 157, 211, 162, 216, 160, 214, 153, 207, 136, 190, 122, 176, 135, 189, 149, 203, 133, 187, 121, 175, 113, 167)
	L = (1, 112)(2, 109)(3, 118)(4, 119)(5, 120)(6, 110)(7, 111)(8, 113)(9, 128)(10, 129)(11, 130)(12, 131)(13, 132)(14, 114)(15, 115)(16, 116)(17, 117)(18, 121)(19, 142)(20, 143)(21, 144)(22, 145)(23, 146)(24, 147)(25, 148)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 133)(33, 156)(34, 157)(35, 150)(36, 152)(37, 153)(38, 158)(39, 141)(40, 139)(41, 137)(42, 134)(43, 135)(44, 136)(45, 138)(46, 140)(47, 149)(48, 162)(49, 159)(50, 160)(51, 151)(52, 154)(53, 155)(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) :: { ( 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108 ), ( 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108 ) }
Outer automorphisms :: reflexible
Dual of E26.822
Graph:: bipartite
	v = 3 e = 108 f = 55
	degree seq :: [ 54^2, 108 ]

E26.809 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y2)^2, Y2 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y3, (R * Y1)^2, Y1 * Y2^2 * Y1^-1 * Y3 * Y2^-2 * Y1, Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y2^-1 * Y1^-2, Y1^-1 * Y2^-1 * Y3^4 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y3^-1 * Y2^7, Y2 * Y3^-1 * Y2 * Y3^-4 * Y1^2, Y2^3 * Y1^-1 * Y2 * Y3 * Y2 * Y3^4 * Y2, Y2 * Y1^-1 * Y2^2 * Y1^-2 * Y2^3 * Y1^-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 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 26, 80, 39, 93, 24, 78, 13, 67, 18, 72, 30, 84, 43, 97, 52, 106, 47, 101, 33, 87, 41, 95, 46, 100, 54, 108, 49, 103, 35, 89, 20, 74, 9, 63, 17, 71, 29, 83, 37, 91, 22, 76, 11, 65, 4, 58)(3, 57, 7, 61, 15, 69, 27, 81, 38, 92, 23, 77, 12, 66, 5, 59, 8, 62, 16, 70, 28, 82, 42, 96, 51, 105, 40, 94, 25, 79, 32, 86, 45, 99, 53, 107, 48, 102, 34, 88, 19, 73, 31, 85, 44, 98, 50, 104, 36, 90, 21, 75, 10, 64)(109, 163, 111, 165, 117, 171, 127, 181, 141, 195, 148, 202, 132, 186, 120, 174, 112, 166, 118, 172, 128, 182, 142, 196, 155, 209, 159, 213, 147, 201, 131, 185, 119, 173, 129, 183, 143, 197, 156, 210, 160, 214, 150, 204, 134, 188, 146, 200, 130, 184, 144, 198, 157, 211, 161, 215, 151, 205, 136, 190, 122, 176, 135, 189, 145, 199, 158, 212, 162, 216, 153, 207, 138, 192, 124, 178, 114, 168, 123, 177, 137, 191, 152, 206, 154, 208, 140, 194, 126, 180, 116, 170, 110, 164, 115, 169, 125, 179, 139, 193, 149, 203, 133, 187, 121, 175, 113, 167)
	L = (1, 112)(2, 109)(3, 118)(4, 119)(5, 120)(6, 110)(7, 111)(8, 113)(9, 128)(10, 129)(11, 130)(12, 131)(13, 132)(14, 114)(15, 115)(16, 116)(17, 117)(18, 121)(19, 142)(20, 143)(21, 144)(22, 145)(23, 146)(24, 147)(25, 148)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 133)(33, 155)(34, 156)(35, 157)(36, 158)(37, 137)(38, 135)(39, 134)(40, 159)(41, 141)(42, 136)(43, 138)(44, 139)(45, 140)(46, 149)(47, 160)(48, 161)(49, 162)(50, 152)(51, 150)(52, 151)(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) :: { ( 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108 ), ( 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108 ) }
Outer automorphisms :: reflexible
Dual of E26.824
Graph:: bipartite
	v = 3 e = 108 f = 55
	degree seq :: [ 54^2, 108 ]

E26.810 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y3)^2, (Y2, Y1^-1), (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y1)^2, Y3^-3 * Y1^-3, Y2^3 * Y1 * Y2 * Y1^4, Y2^-1 * Y1 * Y2^-9, Y2 * Y3 * Y2 * Y3^2 * Y2^4 * Y1^-3, Y2^3 * Y3 * Y2 * Y3 * Y2^2 * Y1^-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 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 26, 80, 41, 95, 45, 99, 54, 108, 49, 103, 35, 89, 20, 74, 9, 63, 17, 71, 29, 83, 39, 93, 24, 78, 13, 67, 18, 72, 30, 84, 43, 97, 52, 106, 47, 101, 33, 87, 37, 91, 22, 76, 11, 65, 4, 58)(3, 57, 7, 61, 15, 69, 27, 81, 40, 94, 25, 79, 32, 86, 44, 98, 53, 107, 48, 102, 34, 88, 19, 73, 31, 85, 38, 92, 23, 77, 12, 66, 5, 59, 8, 62, 16, 70, 28, 82, 42, 96, 51, 105, 46, 100, 50, 104, 36, 90, 21, 75, 10, 64)(109, 163, 111, 165, 117, 171, 127, 181, 141, 195, 154, 208, 153, 207, 140, 194, 126, 180, 116, 170, 110, 164, 115, 169, 125, 179, 139, 193, 145, 199, 158, 212, 162, 216, 152, 206, 138, 192, 124, 178, 114, 168, 123, 177, 137, 191, 146, 200, 130, 184, 144, 198, 157, 211, 161, 215, 151, 205, 136, 190, 122, 176, 135, 189, 147, 201, 131, 185, 119, 173, 129, 183, 143, 197, 156, 210, 160, 214, 150, 204, 134, 188, 148, 202, 132, 186, 120, 174, 112, 166, 118, 172, 128, 182, 142, 196, 155, 209, 159, 213, 149, 203, 133, 187, 121, 175, 113, 167)
	L = (1, 112)(2, 109)(3, 118)(4, 119)(5, 120)(6, 110)(7, 111)(8, 113)(9, 128)(10, 129)(11, 130)(12, 131)(13, 132)(14, 114)(15, 115)(16, 116)(17, 117)(18, 121)(19, 142)(20, 143)(21, 144)(22, 145)(23, 146)(24, 147)(25, 148)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 133)(33, 155)(34, 156)(35, 157)(36, 158)(37, 141)(38, 139)(39, 137)(40, 135)(41, 134)(42, 136)(43, 138)(44, 140)(45, 149)(46, 159)(47, 160)(48, 161)(49, 162)(50, 154)(51, 150)(52, 151)(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) :: { ( 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108 ), ( 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108 ) }
Outer automorphisms :: reflexible
Dual of E26.823
Graph:: bipartite
	v = 3 e = 108 f = 55
	degree seq :: [ 54^2, 108 ]

E26.811 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y2, Y1^-1), (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, Y1 * Y2^-1 * Y3^2 * Y2 * Y1, Y2^3 * Y1 * Y2^3 * Y3^-2, Y1^2 * Y2^-2 * Y3^-5 * Y2^-2, Y1 * Y2^-2 * Y3^-2 * Y2^-1 * Y3^-4 * Y2^-1, Y1^27, (Y1^-1 * Y3^2)^9, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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 * Y2 * Y3 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 26, 80, 42, 96, 48, 102, 33, 87, 39, 93, 24, 78, 13, 67, 18, 72, 30, 84, 45, 99, 50, 104, 35, 89, 20, 74, 9, 63, 17, 71, 29, 83, 41, 95, 47, 101, 52, 106, 37, 91, 22, 76, 11, 65, 4, 58)(3, 57, 7, 61, 15, 69, 27, 81, 43, 97, 54, 108, 53, 107, 38, 92, 23, 77, 12, 66, 5, 59, 8, 62, 16, 70, 28, 82, 44, 98, 49, 103, 34, 88, 19, 73, 31, 85, 40, 94, 25, 79, 32, 86, 46, 100, 51, 105, 36, 90, 21, 75, 10, 64)(109, 163, 111, 165, 117, 171, 127, 181, 141, 195, 146, 200, 130, 184, 144, 198, 158, 212, 152, 206, 134, 188, 151, 205, 155, 209, 140, 194, 126, 180, 116, 170, 110, 164, 115, 169, 125, 179, 139, 193, 147, 201, 131, 185, 119, 173, 129, 183, 143, 197, 157, 211, 150, 204, 162, 216, 160, 214, 154, 208, 138, 192, 124, 178, 114, 168, 123, 177, 137, 191, 148, 202, 132, 186, 120, 174, 112, 166, 118, 172, 128, 182, 142, 196, 156, 210, 161, 215, 145, 199, 159, 213, 153, 207, 136, 190, 122, 176, 135, 189, 149, 203, 133, 187, 121, 175, 113, 167)
	L = (1, 112)(2, 109)(3, 118)(4, 119)(5, 120)(6, 110)(7, 111)(8, 113)(9, 128)(10, 129)(11, 130)(12, 131)(13, 132)(14, 114)(15, 115)(16, 116)(17, 117)(18, 121)(19, 142)(20, 143)(21, 144)(22, 145)(23, 146)(24, 147)(25, 148)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 133)(33, 156)(34, 157)(35, 158)(36, 159)(37, 160)(38, 161)(39, 141)(40, 139)(41, 137)(42, 134)(43, 135)(44, 136)(45, 138)(46, 140)(47, 149)(48, 150)(49, 152)(50, 153)(51, 154)(52, 155)(53, 162)(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) :: { ( 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108 ), ( 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108 ) }
Outer automorphisms :: reflexible
Dual of E26.828
Graph:: bipartite
	v = 3 e = 108 f = 55
	degree seq :: [ 54^2, 108 ]

E26.812 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y2^-1 * Y3^-1 * Y2 * Y1^-1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-3, Y3^3 * Y2^-2 * Y1^-1, Y2^3 * Y3^-1 * Y2 * Y3^-1 * Y2^-2 * Y1^2, Y1 * Y2^-1 * Y3^-1 * Y2^-4 * Y3^2 * Y2^5, Y2^12 * Y1^-1 * Y3^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1^24, 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 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 13, 67, 18, 72, 24, 78, 31, 85, 30, 84, 34, 88, 40, 94, 47, 101, 46, 100, 50, 104, 52, 106, 43, 97, 49, 103, 45, 99, 36, 90, 27, 81, 33, 87, 29, 83, 20, 74, 9, 63, 17, 71, 11, 65, 4, 58)(3, 57, 7, 61, 15, 69, 12, 66, 5, 59, 8, 62, 16, 70, 23, 77, 22, 76, 26, 80, 32, 86, 39, 93, 38, 92, 42, 96, 48, 102, 51, 105, 54, 108, 53, 107, 44, 98, 35, 89, 41, 95, 37, 91, 28, 82, 19, 73, 25, 79, 21, 75, 10, 64)(109, 163, 111, 165, 117, 171, 127, 181, 135, 189, 143, 197, 151, 205, 159, 213, 155, 209, 147, 201, 139, 193, 131, 185, 122, 176, 120, 174, 112, 166, 118, 172, 128, 182, 136, 190, 144, 198, 152, 206, 160, 214, 156, 210, 148, 202, 140, 194, 132, 186, 124, 178, 114, 168, 123, 177, 119, 173, 129, 183, 137, 191, 145, 199, 153, 207, 161, 215, 158, 212, 150, 204, 142, 196, 134, 188, 126, 180, 116, 170, 110, 164, 115, 169, 125, 179, 133, 187, 141, 195, 149, 203, 157, 211, 162, 216, 154, 208, 146, 200, 138, 192, 130, 184, 121, 175, 113, 167)
	L = (1, 112)(2, 109)(3, 118)(4, 119)(5, 120)(6, 110)(7, 111)(8, 113)(9, 128)(10, 129)(11, 125)(12, 123)(13, 122)(14, 114)(15, 115)(16, 116)(17, 117)(18, 121)(19, 136)(20, 137)(21, 133)(22, 131)(23, 124)(24, 126)(25, 127)(26, 130)(27, 144)(28, 145)(29, 141)(30, 139)(31, 132)(32, 134)(33, 135)(34, 138)(35, 152)(36, 153)(37, 149)(38, 147)(39, 140)(40, 142)(41, 143)(42, 146)(43, 160)(44, 161)(45, 157)(46, 155)(47, 148)(48, 150)(49, 151)(50, 154)(51, 156)(52, 158)(53, 162)(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) :: { ( 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108 ), ( 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108 ) }
Outer automorphisms :: reflexible
Dual of E26.821
Graph:: bipartite
	v = 3 e = 108 f = 55
	degree seq :: [ 54^2, 108 ]

E26.813 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 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^-3 * Y1^-1 * Y2^-2, Y2^-2 * Y1^-2 * Y2^2 * Y1^2, Y1^-10 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1^-4 * Y2^2 * Y1^-5, (Y3^-1 * Y1^-1)^27 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 24, 78, 34, 88, 44, 98, 43, 97, 33, 87, 23, 77, 12, 66, 5, 59, 8, 62, 16, 70, 26, 80, 36, 90, 46, 100, 52, 106, 49, 103, 39, 93, 29, 83, 19, 73, 13, 67, 18, 72, 28, 82, 38, 92, 48, 102, 54, 108, 50, 104, 40, 94, 30, 84, 20, 74, 9, 63, 17, 71, 27, 81, 37, 91, 47, 101, 53, 107, 51, 105, 41, 95, 31, 85, 21, 75, 10, 64, 3, 57, 7, 61, 15, 69, 25, 79, 35, 89, 45, 99, 42, 96, 32, 86, 22, 76, 11, 65, 4, 58)(109, 163, 111, 165, 117, 171, 127, 181, 120, 174, 112, 166, 118, 172, 128, 182, 137, 191, 131, 185, 119, 173, 129, 183, 138, 192, 147, 201, 141, 195, 130, 184, 139, 193, 148, 202, 157, 211, 151, 205, 140, 194, 149, 203, 158, 212, 160, 214, 152, 206, 150, 204, 159, 213, 162, 216, 154, 208, 142, 196, 153, 207, 161, 215, 156, 210, 144, 198, 132, 186, 143, 197, 155, 209, 146, 200, 134, 188, 122, 176, 133, 187, 145, 199, 136, 190, 124, 178, 114, 168, 123, 177, 135, 189, 126, 180, 116, 170, 110, 164, 115, 169, 125, 179, 121, 175, 113, 167)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 123)(7, 125)(8, 110)(9, 127)(10, 128)(11, 129)(12, 112)(13, 113)(14, 133)(15, 135)(16, 114)(17, 121)(18, 116)(19, 120)(20, 137)(21, 138)(22, 139)(23, 119)(24, 143)(25, 145)(26, 122)(27, 126)(28, 124)(29, 131)(30, 147)(31, 148)(32, 149)(33, 130)(34, 153)(35, 155)(36, 132)(37, 136)(38, 134)(39, 141)(40, 157)(41, 158)(42, 159)(43, 140)(44, 150)(45, 161)(46, 142)(47, 146)(48, 144)(49, 151)(50, 160)(51, 162)(52, 152)(53, 156)(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) :: { ( 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.819
Graph:: bipartite
	v = 2 e = 108 f = 56
	degree seq :: [ 108^2 ]

E26.814 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y2^-3 * Y1 * Y2^-4, Y1^-1 * Y2 * Y1^-3 * Y2 * Y1^-4, (Y3^-1 * Y1^-1)^27 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 26, 80, 40, 94, 34, 88, 20, 74, 9, 63, 17, 71, 29, 83, 43, 97, 52, 106, 50, 104, 39, 93, 25, 79, 32, 86, 46, 100, 54, 108, 48, 102, 37, 91, 23, 77, 12, 66, 5, 59, 8, 62, 16, 70, 28, 82, 42, 96, 35, 89, 21, 75, 10, 64, 3, 57, 7, 61, 15, 69, 27, 81, 41, 95, 51, 105, 47, 101, 33, 87, 19, 73, 31, 85, 45, 99, 53, 107, 49, 103, 38, 92, 24, 78, 13, 67, 18, 72, 30, 84, 44, 98, 36, 90, 22, 76, 11, 65, 4, 58)(109, 163, 111, 165, 117, 171, 127, 181, 140, 194, 126, 180, 116, 170, 110, 164, 115, 169, 125, 179, 139, 193, 154, 208, 138, 192, 124, 178, 114, 168, 123, 177, 137, 191, 153, 207, 162, 216, 152, 206, 136, 190, 122, 176, 135, 189, 151, 205, 161, 215, 156, 210, 144, 198, 150, 204, 134, 188, 149, 203, 160, 214, 157, 211, 145, 199, 130, 184, 143, 197, 148, 202, 159, 213, 158, 212, 146, 200, 131, 185, 119, 173, 129, 183, 142, 196, 155, 209, 147, 201, 132, 186, 120, 174, 112, 166, 118, 172, 128, 182, 141, 195, 133, 187, 121, 175, 113, 167)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 123)(7, 125)(8, 110)(9, 127)(10, 128)(11, 129)(12, 112)(13, 113)(14, 135)(15, 137)(16, 114)(17, 139)(18, 116)(19, 140)(20, 141)(21, 142)(22, 143)(23, 119)(24, 120)(25, 121)(26, 149)(27, 151)(28, 122)(29, 153)(30, 124)(31, 154)(32, 126)(33, 133)(34, 155)(35, 148)(36, 150)(37, 130)(38, 131)(39, 132)(40, 159)(41, 160)(42, 134)(43, 161)(44, 136)(45, 162)(46, 138)(47, 147)(48, 144)(49, 145)(50, 146)(51, 158)(52, 157)(53, 156)(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) :: { ( 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.820
Graph:: bipartite
	v = 2 e = 108 f = 56
	degree seq :: [ 108^2 ]

E26.815 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (R * Y1)^2, R * Y2 * R * Y3, (Y2, Y1), Y1^-2 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2^12 * Y1^-1 * Y2, (Y3^-1 * Y1^-1)^27 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 13, 67, 18, 72, 24, 78, 31, 85, 30, 84, 34, 88, 40, 94, 47, 101, 46, 100, 50, 104, 54, 108, 52, 106, 44, 98, 35, 89, 41, 95, 37, 91, 28, 82, 19, 73, 25, 79, 21, 75, 10, 64, 3, 57, 7, 61, 15, 69, 12, 66, 5, 59, 8, 62, 16, 70, 23, 77, 22, 76, 26, 80, 32, 86, 39, 93, 38, 92, 42, 96, 48, 102, 53, 107, 51, 105, 43, 97, 49, 103, 45, 99, 36, 90, 27, 81, 33, 87, 29, 83, 20, 74, 9, 63, 17, 71, 11, 65, 4, 58)(109, 163, 111, 165, 117, 171, 127, 181, 135, 189, 143, 197, 151, 205, 158, 212, 150, 204, 142, 196, 134, 188, 126, 180, 116, 170, 110, 164, 115, 169, 125, 179, 133, 187, 141, 195, 149, 203, 157, 211, 162, 216, 156, 210, 148, 202, 140, 194, 132, 186, 124, 178, 114, 168, 123, 177, 119, 173, 129, 183, 137, 191, 145, 199, 153, 207, 160, 214, 161, 215, 155, 209, 147, 201, 139, 193, 131, 185, 122, 176, 120, 174, 112, 166, 118, 172, 128, 182, 136, 190, 144, 198, 152, 206, 159, 213, 154, 208, 146, 200, 138, 192, 130, 184, 121, 175, 113, 167)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 123)(7, 125)(8, 110)(9, 127)(10, 128)(11, 129)(12, 112)(13, 113)(14, 120)(15, 119)(16, 114)(17, 133)(18, 116)(19, 135)(20, 136)(21, 137)(22, 121)(23, 122)(24, 124)(25, 141)(26, 126)(27, 143)(28, 144)(29, 145)(30, 130)(31, 131)(32, 132)(33, 149)(34, 134)(35, 151)(36, 152)(37, 153)(38, 138)(39, 139)(40, 140)(41, 157)(42, 142)(43, 158)(44, 159)(45, 160)(46, 146)(47, 147)(48, 148)(49, 162)(50, 150)(51, 154)(52, 161)(53, 155)(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) :: { ( 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.817
Graph:: bipartite
	v = 2 e = 108 f = 56
	degree seq :: [ 108^2 ]

E26.816 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1, Y1), (R * Y1)^2, (R * Y3)^2, Y2^-3 * Y1^3, Y2^-2 * Y1^-16, (Y3^-1 * Y1^-1)^27, Y2^54 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 22, 76, 28, 82, 34, 88, 40, 94, 46, 100, 52, 106, 51, 105, 45, 99, 39, 93, 33, 87, 27, 81, 21, 75, 13, 67, 18, 72, 10, 64, 3, 57, 7, 61, 15, 69, 23, 77, 29, 83, 35, 89, 41, 95, 47, 101, 53, 107, 50, 104, 44, 98, 38, 92, 32, 86, 26, 80, 20, 74, 12, 66, 5, 59, 8, 62, 16, 70, 9, 63, 17, 71, 24, 78, 30, 84, 36, 90, 42, 96, 48, 102, 54, 108, 49, 103, 43, 97, 37, 91, 31, 85, 25, 79, 19, 73, 11, 65, 4, 58)(109, 163, 111, 165, 117, 171, 122, 176, 131, 185, 138, 192, 142, 196, 149, 203, 156, 210, 160, 214, 158, 212, 151, 205, 147, 201, 140, 194, 133, 187, 129, 183, 120, 174, 112, 166, 118, 172, 124, 178, 114, 168, 123, 177, 132, 186, 136, 190, 143, 197, 150, 204, 154, 208, 161, 215, 157, 211, 153, 207, 146, 200, 139, 193, 135, 189, 128, 182, 119, 173, 126, 180, 116, 170, 110, 164, 115, 169, 125, 179, 130, 184, 137, 191, 144, 198, 148, 202, 155, 209, 162, 216, 159, 213, 152, 206, 145, 199, 141, 195, 134, 188, 127, 181, 121, 175, 113, 167)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 123)(7, 125)(8, 110)(9, 122)(10, 124)(11, 126)(12, 112)(13, 113)(14, 131)(15, 132)(16, 114)(17, 130)(18, 116)(19, 121)(20, 119)(21, 120)(22, 137)(23, 138)(24, 136)(25, 129)(26, 127)(27, 128)(28, 143)(29, 144)(30, 142)(31, 135)(32, 133)(33, 134)(34, 149)(35, 150)(36, 148)(37, 141)(38, 139)(39, 140)(40, 155)(41, 156)(42, 154)(43, 147)(44, 145)(45, 146)(46, 161)(47, 162)(48, 160)(49, 153)(50, 151)(51, 152)(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) :: { ( 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.818
Graph:: bipartite
	v = 2 e = 108 f = 56
	degree seq :: [ 108^2 ]

E26.817 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3^-1 * Y2^-1)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^-2 * Y2^-2, Y3^-2 * Y2^25, Y3^-2 * Y2^11 * Y3^-14, (Y3 * Y2^-1)^54, (Y3^-1 * Y1^-1)^54 ]
Map::
	R = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)(109, 163, 110, 164, 114, 168, 119, 173, 123, 177, 127, 181, 131, 185, 135, 189, 139, 193, 143, 197, 147, 201, 151, 205, 155, 209, 159, 213, 162, 216, 157, 211, 154, 208, 149, 203, 146, 200, 141, 195, 138, 192, 133, 187, 130, 184, 125, 179, 122, 176, 117, 171, 112, 166)(111, 165, 115, 169, 113, 167, 116, 170, 120, 174, 124, 178, 128, 182, 132, 186, 136, 190, 140, 194, 144, 198, 148, 202, 152, 206, 156, 210, 160, 214, 161, 215, 158, 212, 153, 207, 150, 204, 145, 199, 142, 196, 137, 191, 134, 188, 129, 183, 126, 180, 121, 175, 118, 172)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 113)(7, 112)(8, 110)(9, 121)(10, 122)(11, 116)(12, 114)(13, 125)(14, 126)(15, 120)(16, 119)(17, 129)(18, 130)(19, 124)(20, 123)(21, 133)(22, 134)(23, 128)(24, 127)(25, 137)(26, 138)(27, 132)(28, 131)(29, 141)(30, 142)(31, 136)(32, 135)(33, 145)(34, 146)(35, 140)(36, 139)(37, 149)(38, 150)(39, 144)(40, 143)(41, 153)(42, 154)(43, 148)(44, 147)(45, 157)(46, 158)(47, 152)(48, 151)(49, 161)(50, 162)(51, 156)(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) :: { ( 108, 108 ), ( 108^54 ) }
Outer automorphisms :: reflexible
Dual of E26.815
Graph:: simple bipartite
	v = 56 e = 108 f = 2
	degree seq :: [ 2^54, 54^2 ]

E26.818 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y3 * Y2^-1 * Y3^5 * Y2^-1, Y3^-2 * Y2^-1 * Y3^-4 * Y2^4, Y2^2 * Y3 * Y2 * Y3 * Y2 * Y3^2 * Y2^3, Y2^-1 * 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 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-4, (Y3^-1 * Y1^-1)^54 ]
Map::
	R = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)(109, 163, 110, 164, 114, 168, 122, 176, 134, 188, 150, 204, 161, 215, 149, 203, 143, 197, 128, 182, 117, 171, 125, 179, 137, 191, 153, 207, 159, 213, 147, 201, 132, 186, 121, 175, 126, 180, 138, 192, 141, 195, 155, 209, 157, 211, 145, 199, 130, 184, 119, 173, 112, 166)(111, 165, 115, 169, 123, 177, 135, 189, 151, 205, 160, 214, 148, 202, 133, 187, 140, 194, 142, 196, 127, 181, 139, 193, 154, 208, 158, 212, 146, 200, 131, 185, 120, 174, 113, 167, 116, 170, 124, 178, 136, 190, 152, 206, 162, 216, 156, 210, 144, 198, 129, 183, 118, 172)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 123)(7, 125)(8, 110)(9, 127)(10, 128)(11, 129)(12, 112)(13, 113)(14, 135)(15, 137)(16, 114)(17, 139)(18, 116)(19, 141)(20, 142)(21, 143)(22, 144)(23, 119)(24, 120)(25, 121)(26, 151)(27, 153)(28, 122)(29, 154)(30, 124)(31, 155)(32, 126)(33, 136)(34, 138)(35, 140)(36, 149)(37, 156)(38, 130)(39, 131)(40, 132)(41, 133)(42, 160)(43, 159)(44, 134)(45, 158)(46, 157)(47, 152)(48, 161)(49, 162)(50, 145)(51, 146)(52, 147)(53, 148)(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) :: { ( 108, 108 ), ( 108^54 ) }
Outer automorphisms :: reflexible
Dual of E26.816
Graph:: simple bipartite
	v = 56 e = 108 f = 2
	degree seq :: [ 2^54, 54^2 ]

E26.819 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y2^-1, Y3), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2 * Y3^4, Y2^5 * Y3^-1 * Y2^7 * Y3^-1 * Y2, Y2^27, 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^-1 * Y1^-1)^54 ]
Map::
	R = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)(109, 163, 110, 164, 114, 168, 122, 176, 130, 184, 138, 192, 146, 200, 154, 208, 158, 212, 150, 204, 142, 196, 134, 188, 126, 180, 117, 171, 121, 175, 125, 179, 133, 187, 141, 195, 149, 203, 157, 211, 160, 214, 152, 206, 144, 198, 136, 190, 128, 182, 119, 173, 112, 166)(111, 165, 115, 169, 123, 177, 131, 185, 139, 193, 147, 201, 155, 209, 162, 216, 161, 215, 153, 207, 145, 199, 137, 191, 129, 183, 120, 174, 113, 167, 116, 170, 124, 178, 132, 186, 140, 194, 148, 202, 156, 210, 159, 213, 151, 205, 143, 197, 135, 189, 127, 181, 118, 172)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 123)(7, 121)(8, 110)(9, 120)(10, 126)(11, 127)(12, 112)(13, 113)(14, 131)(15, 125)(16, 114)(17, 116)(18, 129)(19, 134)(20, 135)(21, 119)(22, 139)(23, 133)(24, 122)(25, 124)(26, 137)(27, 142)(28, 143)(29, 128)(30, 147)(31, 141)(32, 130)(33, 132)(34, 145)(35, 150)(36, 151)(37, 136)(38, 155)(39, 149)(40, 138)(41, 140)(42, 153)(43, 158)(44, 159)(45, 144)(46, 162)(47, 157)(48, 146)(49, 148)(50, 161)(51, 154)(52, 156)(53, 152)(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) :: { ( 108, 108 ), ( 108^54 ) }
Outer automorphisms :: reflexible
Dual of E26.813
Graph:: simple bipartite
	v = 56 e = 108 f = 2
	degree seq :: [ 2^54, 54^2 ]

E26.820 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2^-1), Y2 * Y3 * Y2^4 * Y3, Y3^4 * Y2^-1 * Y3^6 * Y2^-1, Y3^-1 * Y2 * Y3^-1 * Y2^3 * Y3^-2 * 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^-1 * Y1^-1)^54 ]
Map::
	R = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)(109, 163, 110, 164, 114, 168, 122, 176, 132, 186, 121, 175, 126, 180, 135, 189, 144, 198, 152, 206, 143, 197, 147, 201, 155, 209, 161, 215, 162, 216, 158, 212, 149, 203, 138, 192, 146, 200, 151, 205, 140, 194, 128, 182, 117, 171, 125, 179, 130, 184, 119, 173, 112, 166)(111, 165, 115, 169, 123, 177, 131, 185, 120, 174, 113, 167, 116, 170, 124, 178, 134, 188, 142, 196, 133, 187, 137, 191, 145, 199, 154, 208, 160, 214, 153, 207, 157, 211, 148, 202, 156, 210, 159, 213, 150, 204, 139, 193, 127, 181, 136, 190, 141, 195, 129, 183, 118, 172)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 123)(7, 125)(8, 110)(9, 127)(10, 128)(11, 129)(12, 112)(13, 113)(14, 131)(15, 130)(16, 114)(17, 136)(18, 116)(19, 138)(20, 139)(21, 140)(22, 141)(23, 119)(24, 120)(25, 121)(26, 122)(27, 124)(28, 146)(29, 126)(30, 148)(31, 149)(32, 150)(33, 151)(34, 132)(35, 133)(36, 134)(37, 135)(38, 156)(39, 137)(40, 155)(41, 157)(42, 158)(43, 159)(44, 142)(45, 143)(46, 144)(47, 145)(48, 161)(49, 147)(50, 153)(51, 162)(52, 152)(53, 154)(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) :: { ( 108, 108 ), ( 108^54 ) }
Outer automorphisms :: reflexible
Dual of E26.814
Graph:: simple bipartite
	v = 56 e = 108 f = 2
	degree seq :: [ 2^54, 54^2 ]

E26.821 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2 * Y1^-2, (Y3, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^26, Y3^27, (Y3 * Y2^-1)^27, 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 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 11, 65, 15, 69, 19, 73, 23, 77, 27, 81, 31, 85, 35, 89, 39, 93, 43, 97, 47, 101, 51, 105, 54, 108, 50, 104, 46, 100, 42, 96, 38, 92, 34, 88, 30, 84, 26, 80, 22, 76, 18, 72, 14, 68, 10, 64, 5, 59, 8, 62, 3, 57, 7, 61, 12, 66, 16, 70, 20, 74, 24, 78, 28, 82, 32, 86, 36, 90, 40, 94, 44, 98, 48, 102, 52, 106, 53, 107, 49, 103, 45, 99, 41, 95, 37, 91, 33, 87, 29, 83, 25, 79, 21, 75, 17, 71, 13, 67, 9, 63, 4, 58)(109, 163)(110, 164)(111, 165)(112, 166)(113, 167)(114, 168)(115, 169)(116, 170)(117, 171)(118, 172)(119, 173)(120, 174)(121, 175)(122, 176)(123, 177)(124, 178)(125, 179)(126, 180)(127, 181)(128, 182)(129, 183)(130, 184)(131, 185)(132, 186)(133, 187)(134, 188)(135, 189)(136, 190)(137, 191)(138, 192)(139, 193)(140, 194)(141, 195)(142, 196)(143, 197)(144, 198)(145, 199)(146, 200)(147, 201)(148, 202)(149, 203)(150, 204)(151, 205)(152, 206)(153, 207)(154, 208)(155, 209)(156, 210)(157, 211)(158, 212)(159, 213)(160, 214)(161, 215)(162, 216)
	L = (1, 111)(2, 115)(3, 114)(4, 116)(5, 109)(6, 120)(7, 119)(8, 110)(9, 113)(10, 112)(11, 124)(12, 123)(13, 118)(14, 117)(15, 128)(16, 127)(17, 122)(18, 121)(19, 132)(20, 131)(21, 126)(22, 125)(23, 136)(24, 135)(25, 130)(26, 129)(27, 140)(28, 139)(29, 134)(30, 133)(31, 144)(32, 143)(33, 138)(34, 137)(35, 148)(36, 147)(37, 142)(38, 141)(39, 152)(40, 151)(41, 146)(42, 145)(43, 156)(44, 155)(45, 150)(46, 149)(47, 160)(48, 159)(49, 154)(50, 153)(51, 161)(52, 162)(53, 158)(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) :: { ( 54, 108 ), ( 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108 ) }
Outer automorphisms :: reflexible
Dual of E26.812
Graph:: bipartite
	v = 55 e = 108 f = 3
	degree seq :: [ 2^54, 108 ]

E26.822 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y3^3 * Y1^6, Y3^-7 * Y1^4, Y3^-7 * Y1^4, Y1^16 * Y3^-1, (Y3 * Y2^-1)^27, (Y1^-1 * Y3^-1)^54 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 26, 80, 40, 94, 25, 79, 32, 86, 44, 98, 48, 102, 33, 87, 45, 99, 51, 105, 36, 90, 21, 75, 10, 64, 3, 57, 7, 61, 15, 69, 27, 81, 39, 93, 24, 78, 13, 67, 18, 72, 30, 84, 43, 97, 47, 101, 54, 108, 53, 107, 50, 104, 35, 89, 20, 74, 9, 63, 17, 71, 29, 83, 38, 92, 23, 77, 12, 66, 5, 59, 8, 62, 16, 70, 28, 82, 42, 96, 52, 106, 41, 95, 46, 100, 49, 103, 34, 88, 19, 73, 31, 85, 37, 91, 22, 76, 11, 65, 4, 58)(109, 163)(110, 164)(111, 165)(112, 166)(113, 167)(114, 168)(115, 169)(116, 170)(117, 171)(118, 172)(119, 173)(120, 174)(121, 175)(122, 176)(123, 177)(124, 178)(125, 179)(126, 180)(127, 181)(128, 182)(129, 183)(130, 184)(131, 185)(132, 186)(133, 187)(134, 188)(135, 189)(136, 190)(137, 191)(138, 192)(139, 193)(140, 194)(141, 195)(142, 196)(143, 197)(144, 198)(145, 199)(146, 200)(147, 201)(148, 202)(149, 203)(150, 204)(151, 205)(152, 206)(153, 207)(154, 208)(155, 209)(156, 210)(157, 211)(158, 212)(159, 213)(160, 214)(161, 215)(162, 216)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 123)(7, 125)(8, 110)(9, 127)(10, 128)(11, 129)(12, 112)(13, 113)(14, 135)(15, 137)(16, 114)(17, 139)(18, 116)(19, 141)(20, 142)(21, 143)(22, 144)(23, 119)(24, 120)(25, 121)(26, 147)(27, 146)(28, 122)(29, 145)(30, 124)(31, 153)(32, 126)(33, 155)(34, 156)(35, 157)(36, 158)(37, 159)(38, 130)(39, 131)(40, 132)(41, 133)(42, 134)(43, 136)(44, 138)(45, 162)(46, 140)(47, 150)(48, 151)(49, 152)(50, 154)(51, 161)(52, 148)(53, 149)(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) :: { ( 54, 108 ), ( 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108 ) }
Outer automorphisms :: reflexible
Dual of E26.808
Graph:: bipartite
	v = 55 e = 108 f = 3
	degree seq :: [ 2^54, 108 ]

E26.823 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 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, Y3^6 * Y1^-2 * Y3^-1 * Y1^-1 * Y3^-4 * Y1^-1, Y1 * Y3 * Y1 * Y3^12, (Y3 * Y2^-1)^27, (Y1^-1 * Y3^-1)^54 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 10, 64, 3, 57, 7, 61, 14, 68, 18, 72, 9, 63, 15, 69, 22, 76, 26, 80, 17, 71, 23, 77, 30, 84, 34, 88, 25, 79, 31, 85, 38, 92, 42, 96, 33, 87, 39, 93, 46, 100, 50, 104, 41, 95, 47, 101, 53, 107, 54, 108, 49, 103, 52, 106, 45, 99, 48, 102, 51, 105, 44, 98, 37, 91, 40, 94, 43, 97, 36, 90, 29, 83, 32, 86, 35, 89, 28, 82, 21, 75, 24, 78, 27, 81, 20, 74, 13, 67, 16, 70, 19, 73, 12, 66, 5, 59, 8, 62, 11, 65, 4, 58)(109, 163)(110, 164)(111, 165)(112, 166)(113, 167)(114, 168)(115, 169)(116, 170)(117, 171)(118, 172)(119, 173)(120, 174)(121, 175)(122, 176)(123, 177)(124, 178)(125, 179)(126, 180)(127, 181)(128, 182)(129, 183)(130, 184)(131, 185)(132, 186)(133, 187)(134, 188)(135, 189)(136, 190)(137, 191)(138, 192)(139, 193)(140, 194)(141, 195)(142, 196)(143, 197)(144, 198)(145, 199)(146, 200)(147, 201)(148, 202)(149, 203)(150, 204)(151, 205)(152, 206)(153, 207)(154, 208)(155, 209)(156, 210)(157, 211)(158, 212)(159, 213)(160, 214)(161, 215)(162, 216)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 122)(7, 123)(8, 110)(9, 125)(10, 126)(11, 114)(12, 112)(13, 113)(14, 130)(15, 131)(16, 116)(17, 133)(18, 134)(19, 119)(20, 120)(21, 121)(22, 138)(23, 139)(24, 124)(25, 141)(26, 142)(27, 127)(28, 128)(29, 129)(30, 146)(31, 147)(32, 132)(33, 149)(34, 150)(35, 135)(36, 136)(37, 137)(38, 154)(39, 155)(40, 140)(41, 157)(42, 158)(43, 143)(44, 144)(45, 145)(46, 161)(47, 160)(48, 148)(49, 159)(50, 162)(51, 151)(52, 152)(53, 153)(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) :: { ( 54, 108 ), ( 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108 ) }
Outer automorphisms :: reflexible
Dual of E26.810
Graph:: bipartite
	v = 55 e = 108 f = 3
	degree seq :: [ 2^54, 108 ]

E26.824 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3^4 * Y1^-1, Y1^-3 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-5, (Y1^-1 * Y3^-2)^6, (Y3 * Y2^-1)^27, (Y1^-1 * Y3^-1)^54 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 26, 80, 36, 90, 46, 100, 44, 98, 34, 88, 24, 78, 13, 67, 18, 72, 19, 73, 30, 84, 40, 94, 50, 104, 54, 108, 51, 105, 41, 95, 31, 85, 21, 75, 10, 64, 3, 57, 7, 61, 15, 69, 27, 81, 37, 91, 47, 101, 43, 97, 33, 87, 23, 77, 12, 66, 5, 59, 8, 62, 16, 70, 28, 82, 38, 92, 48, 102, 53, 107, 52, 106, 45, 99, 35, 89, 25, 79, 20, 74, 9, 63, 17, 71, 29, 83, 39, 93, 49, 103, 42, 96, 32, 86, 22, 76, 11, 65, 4, 58)(109, 163)(110, 164)(111, 165)(112, 166)(113, 167)(114, 168)(115, 169)(116, 170)(117, 171)(118, 172)(119, 173)(120, 174)(121, 175)(122, 176)(123, 177)(124, 178)(125, 179)(126, 180)(127, 181)(128, 182)(129, 183)(130, 184)(131, 185)(132, 186)(133, 187)(134, 188)(135, 189)(136, 190)(137, 191)(138, 192)(139, 193)(140, 194)(141, 195)(142, 196)(143, 197)(144, 198)(145, 199)(146, 200)(147, 201)(148, 202)(149, 203)(150, 204)(151, 205)(152, 206)(153, 207)(154, 208)(155, 209)(156, 210)(157, 211)(158, 212)(159, 213)(160, 214)(161, 215)(162, 216)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 123)(7, 125)(8, 110)(9, 127)(10, 128)(11, 129)(12, 112)(13, 113)(14, 135)(15, 137)(16, 114)(17, 138)(18, 116)(19, 124)(20, 126)(21, 133)(22, 139)(23, 119)(24, 120)(25, 121)(26, 145)(27, 147)(28, 122)(29, 148)(30, 136)(31, 143)(32, 149)(33, 130)(34, 131)(35, 132)(36, 155)(37, 157)(38, 134)(39, 158)(40, 146)(41, 153)(42, 159)(43, 140)(44, 141)(45, 142)(46, 151)(47, 150)(48, 144)(49, 162)(50, 156)(51, 160)(52, 152)(53, 154)(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) :: { ( 54, 108 ), ( 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108 ) }
Outer automorphisms :: reflexible
Dual of E26.809
Graph:: bipartite
	v = 55 e = 108 f = 3
	degree seq :: [ 2^54, 108 ]

E26.825 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3 * Y1^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^27, (Y3^13 * Y1^-1)^2, (Y3 * Y2^-1)^27 ]
Map::
	R = (1, 55, 2, 56, 5, 59, 6, 60, 9, 63, 10, 64, 13, 67, 14, 68, 17, 71, 18, 72, 21, 75, 22, 76, 25, 79, 26, 80, 29, 83, 30, 84, 33, 87, 34, 88, 37, 91, 38, 92, 41, 95, 42, 96, 45, 99, 46, 100, 49, 103, 50, 104, 53, 107, 54, 108, 51, 105, 52, 106, 47, 101, 48, 102, 43, 97, 44, 98, 39, 93, 40, 94, 35, 89, 36, 90, 31, 85, 32, 86, 27, 81, 28, 82, 23, 77, 24, 78, 19, 73, 20, 74, 15, 69, 16, 70, 11, 65, 12, 66, 7, 61, 8, 62, 3, 57, 4, 58)(109, 163)(110, 164)(111, 165)(112, 166)(113, 167)(114, 168)(115, 169)(116, 170)(117, 171)(118, 172)(119, 173)(120, 174)(121, 175)(122, 176)(123, 177)(124, 178)(125, 179)(126, 180)(127, 181)(128, 182)(129, 183)(130, 184)(131, 185)(132, 186)(133, 187)(134, 188)(135, 189)(136, 190)(137, 191)(138, 192)(139, 193)(140, 194)(141, 195)(142, 196)(143, 197)(144, 198)(145, 199)(146, 200)(147, 201)(148, 202)(149, 203)(150, 204)(151, 205)(152, 206)(153, 207)(154, 208)(155, 209)(156, 210)(157, 211)(158, 212)(159, 213)(160, 214)(161, 215)(162, 216)
	L = (1, 111)(2, 112)(3, 115)(4, 116)(5, 109)(6, 110)(7, 119)(8, 120)(9, 113)(10, 114)(11, 123)(12, 124)(13, 117)(14, 118)(15, 127)(16, 128)(17, 121)(18, 122)(19, 131)(20, 132)(21, 125)(22, 126)(23, 135)(24, 136)(25, 129)(26, 130)(27, 139)(28, 140)(29, 133)(30, 134)(31, 143)(32, 144)(33, 137)(34, 138)(35, 147)(36, 148)(37, 141)(38, 142)(39, 151)(40, 152)(41, 145)(42, 146)(43, 155)(44, 156)(45, 149)(46, 150)(47, 159)(48, 160)(49, 153)(50, 154)(51, 161)(52, 162)(53, 157)(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) :: { ( 54, 108 ), ( 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108 ) }
Outer automorphisms :: reflexible
Dual of E26.805
Graph:: bipartite
	v = 55 e = 108 f = 3
	degree seq :: [ 2^54, 108 ]

E26.826 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y1^4 * Y3 * Y1^4, Y3 * Y1 * Y3^2 * Y1 * Y3^4, (Y3^2 * Y1^-1 * Y3 * Y1^-2)^2, (Y3 * Y2^-1)^27, (Y1^-1 * Y3^-1)^54 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 26, 80, 38, 92, 23, 77, 12, 66, 5, 59, 8, 62, 16, 70, 28, 82, 42, 96, 51, 105, 39, 93, 24, 78, 13, 67, 18, 72, 30, 84, 44, 98, 52, 106, 47, 101, 33, 87, 40, 94, 25, 79, 32, 86, 45, 99, 53, 107, 48, 102, 34, 88, 19, 73, 31, 85, 41, 95, 46, 100, 54, 108, 49, 103, 35, 89, 20, 74, 9, 63, 17, 71, 29, 83, 43, 97, 50, 104, 36, 90, 21, 75, 10, 64, 3, 57, 7, 61, 15, 69, 27, 81, 37, 91, 22, 76, 11, 65, 4, 58)(109, 163)(110, 164)(111, 165)(112, 166)(113, 167)(114, 168)(115, 169)(116, 170)(117, 171)(118, 172)(119, 173)(120, 174)(121, 175)(122, 176)(123, 177)(124, 178)(125, 179)(126, 180)(127, 181)(128, 182)(129, 183)(130, 184)(131, 185)(132, 186)(133, 187)(134, 188)(135, 189)(136, 190)(137, 191)(138, 192)(139, 193)(140, 194)(141, 195)(142, 196)(143, 197)(144, 198)(145, 199)(146, 200)(147, 201)(148, 202)(149, 203)(150, 204)(151, 205)(152, 206)(153, 207)(154, 208)(155, 209)(156, 210)(157, 211)(158, 212)(159, 213)(160, 214)(161, 215)(162, 216)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 123)(7, 125)(8, 110)(9, 127)(10, 128)(11, 129)(12, 112)(13, 113)(14, 135)(15, 137)(16, 114)(17, 139)(18, 116)(19, 141)(20, 142)(21, 143)(22, 144)(23, 119)(24, 120)(25, 121)(26, 145)(27, 151)(28, 122)(29, 149)(30, 124)(31, 148)(32, 126)(33, 147)(34, 155)(35, 156)(36, 157)(37, 158)(38, 130)(39, 131)(40, 132)(41, 133)(42, 134)(43, 154)(44, 136)(45, 138)(46, 140)(47, 159)(48, 160)(49, 161)(50, 162)(51, 146)(52, 150)(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) :: { ( 54, 108 ), ( 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108 ) }
Outer automorphisms :: reflexible
Dual of E26.807
Graph:: bipartite
	v = 55 e = 108 f = 3
	degree seq :: [ 2^54, 108 ]

E26.827 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 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 * Y1^3 * Y3, Y1^2 * Y3^-1 * Y1^8, Y3^2 * Y1^-1 * Y3 * Y1^-1 * Y3^3 * Y1^-4, (Y3 * Y2^-1)^27, (Y1^-1 * Y3^-1)^54 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 26, 80, 42, 96, 50, 104, 36, 90, 21, 75, 10, 64, 3, 57, 7, 61, 15, 69, 27, 81, 41, 95, 46, 100, 54, 108, 49, 103, 35, 89, 20, 74, 9, 63, 17, 71, 29, 83, 40, 94, 25, 79, 32, 86, 45, 99, 53, 107, 48, 102, 34, 88, 19, 73, 31, 85, 39, 93, 24, 78, 13, 67, 18, 72, 30, 84, 44, 98, 52, 106, 47, 101, 33, 87, 38, 92, 23, 77, 12, 66, 5, 59, 8, 62, 16, 70, 28, 82, 43, 97, 51, 105, 37, 91, 22, 76, 11, 65, 4, 58)(109, 163)(110, 164)(111, 165)(112, 166)(113, 167)(114, 168)(115, 169)(116, 170)(117, 171)(118, 172)(119, 173)(120, 174)(121, 175)(122, 176)(123, 177)(124, 178)(125, 179)(126, 180)(127, 181)(128, 182)(129, 183)(130, 184)(131, 185)(132, 186)(133, 187)(134, 188)(135, 189)(136, 190)(137, 191)(138, 192)(139, 193)(140, 194)(141, 195)(142, 196)(143, 197)(144, 198)(145, 199)(146, 200)(147, 201)(148, 202)(149, 203)(150, 204)(151, 205)(152, 206)(153, 207)(154, 208)(155, 209)(156, 210)(157, 211)(158, 212)(159, 213)(160, 214)(161, 215)(162, 216)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 123)(7, 125)(8, 110)(9, 127)(10, 128)(11, 129)(12, 112)(13, 113)(14, 135)(15, 137)(16, 114)(17, 139)(18, 116)(19, 141)(20, 142)(21, 143)(22, 144)(23, 119)(24, 120)(25, 121)(26, 149)(27, 148)(28, 122)(29, 147)(30, 124)(31, 146)(32, 126)(33, 145)(34, 155)(35, 156)(36, 157)(37, 158)(38, 130)(39, 131)(40, 132)(41, 133)(42, 154)(43, 134)(44, 136)(45, 138)(46, 140)(47, 159)(48, 160)(49, 161)(50, 162)(51, 150)(52, 151)(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) :: { ( 54, 108 ), ( 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108 ) }
Outer automorphisms :: reflexible
Dual of E26.806
Graph:: bipartite
	v = 55 e = 108 f = 3
	degree seq :: [ 2^54, 108 ]

E26.828 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 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^-5 * Y3^-1, Y3^7 * Y1^-1 * Y3 * Y1^-1, Y1^2 * Y3^-1 * Y1 * Y3^-1 * Y1^4 * Y3^-3 * Y1, (Y3 * Y2^-1)^27, (Y1^-1 * Y3^-1)^54 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 26, 80, 40, 94, 25, 79, 32, 86, 44, 98, 52, 106, 54, 108, 48, 102, 35, 89, 20, 74, 9, 63, 17, 71, 29, 83, 38, 92, 23, 77, 12, 66, 5, 59, 8, 62, 16, 70, 28, 82, 42, 96, 50, 104, 41, 95, 46, 100, 33, 87, 45, 99, 49, 103, 36, 90, 21, 75, 10, 64, 3, 57, 7, 61, 15, 69, 27, 81, 39, 93, 24, 78, 13, 67, 18, 72, 30, 84, 43, 97, 51, 105, 53, 107, 47, 101, 34, 88, 19, 73, 31, 85, 37, 91, 22, 76, 11, 65, 4, 58)(109, 163)(110, 164)(111, 165)(112, 166)(113, 167)(114, 168)(115, 169)(116, 170)(117, 171)(118, 172)(119, 173)(120, 174)(121, 175)(122, 176)(123, 177)(124, 178)(125, 179)(126, 180)(127, 181)(128, 182)(129, 183)(130, 184)(131, 185)(132, 186)(133, 187)(134, 188)(135, 189)(136, 190)(137, 191)(138, 192)(139, 193)(140, 194)(141, 195)(142, 196)(143, 197)(144, 198)(145, 199)(146, 200)(147, 201)(148, 202)(149, 203)(150, 204)(151, 205)(152, 206)(153, 207)(154, 208)(155, 209)(156, 210)(157, 211)(158, 212)(159, 213)(160, 214)(161, 215)(162, 216)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 123)(7, 125)(8, 110)(9, 127)(10, 128)(11, 129)(12, 112)(13, 113)(14, 135)(15, 137)(16, 114)(17, 139)(18, 116)(19, 141)(20, 142)(21, 143)(22, 144)(23, 119)(24, 120)(25, 121)(26, 147)(27, 146)(28, 122)(29, 145)(30, 124)(31, 153)(32, 126)(33, 152)(34, 154)(35, 155)(36, 156)(37, 157)(38, 130)(39, 131)(40, 132)(41, 133)(42, 134)(43, 136)(44, 138)(45, 160)(46, 140)(47, 149)(48, 161)(49, 162)(50, 148)(51, 150)(52, 151)(53, 158)(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) :: { ( 54, 108 ), ( 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108 ) }
Outer automorphisms :: reflexible
Dual of E26.811
Graph:: bipartite
	v = 55 e = 108 f = 3
	degree seq :: [ 2^54, 108 ]

E26.829 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1, Y3^-1), (R * Y3)^2, (R * Y1)^2, Y1^-2 * Y3^-4, (R * Y2 * Y3^-1)^2, Y1^12 * Y3^-3, Y3^2 * Y1^-26, (Y3 * Y2^-1)^27 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 23, 77, 31, 85, 39, 93, 47, 101, 51, 105, 43, 97, 35, 89, 27, 81, 19, 73, 12, 66, 5, 59, 8, 62, 16, 70, 25, 79, 33, 87, 41, 95, 49, 103, 52, 106, 44, 98, 36, 90, 28, 82, 20, 74, 9, 63, 17, 71, 13, 67, 18, 72, 26, 80, 34, 88, 42, 96, 50, 104, 53, 107, 45, 99, 37, 91, 29, 83, 21, 75, 10, 64, 3, 57, 7, 61, 15, 69, 24, 78, 32, 86, 40, 94, 48, 102, 54, 108, 46, 100, 38, 92, 30, 84, 22, 76, 11, 65, 4, 58)(109, 163)(110, 164)(111, 165)(112, 166)(113, 167)(114, 168)(115, 169)(116, 170)(117, 171)(118, 172)(119, 173)(120, 174)(121, 175)(122, 176)(123, 177)(124, 178)(125, 179)(126, 180)(127, 181)(128, 182)(129, 183)(130, 184)(131, 185)(132, 186)(133, 187)(134, 188)(135, 189)(136, 190)(137, 191)(138, 192)(139, 193)(140, 194)(141, 195)(142, 196)(143, 197)(144, 198)(145, 199)(146, 200)(147, 201)(148, 202)(149, 203)(150, 204)(151, 205)(152, 206)(153, 207)(154, 208)(155, 209)(156, 210)(157, 211)(158, 212)(159, 213)(160, 214)(161, 215)(162, 216)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 123)(7, 125)(8, 110)(9, 127)(10, 128)(11, 129)(12, 112)(13, 113)(14, 132)(15, 121)(16, 114)(17, 120)(18, 116)(19, 119)(20, 135)(21, 136)(22, 137)(23, 140)(24, 126)(25, 122)(26, 124)(27, 130)(28, 143)(29, 144)(30, 145)(31, 148)(32, 134)(33, 131)(34, 133)(35, 138)(36, 151)(37, 152)(38, 153)(39, 156)(40, 142)(41, 139)(42, 141)(43, 146)(44, 159)(45, 160)(46, 161)(47, 162)(48, 150)(49, 147)(50, 149)(51, 154)(52, 155)(53, 157)(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) :: { ( 54, 108 ), ( 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108 ) }
Outer automorphisms :: reflexible
Dual of E26.804
Graph:: bipartite
	v = 55 e = 108 f = 3
	degree seq :: [ 2^54, 108 ]

E26.830 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 14, 28})
Quotient :: halfedge^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y1^-1 * Y2)^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y1)^2, (Y3 * Y2)^4, Y1^3 * Y3 * Y1^-4 * Y2, Y2 * Y3 * Y1^-1 * Y2 * Y1^2 * Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y1^2 * Y3 * Y2 * Y1 * Y3, (Y2 * Y1 * Y3)^14 ]
Map:: non-degenerate
	R = (1, 58, 2, 62, 6, 70, 14, 82, 26, 90, 34, 76, 20, 66, 10, 73, 17, 85, 29, 98, 42, 107, 51, 110, 54, 103, 47, 92, 36, 101, 45, 109, 53, 111, 55, 105, 49, 94, 38, 79, 23, 68, 12, 74, 18, 86, 30, 96, 40, 81, 25, 69, 13, 61, 5, 57)(3, 65, 9, 75, 19, 89, 33, 84, 28, 72, 16, 64, 8, 60, 4, 67, 11, 78, 22, 93, 37, 104, 48, 100, 44, 88, 32, 80, 24, 95, 39, 106, 50, 112, 56, 108, 52, 99, 43, 87, 31, 77, 21, 91, 35, 102, 46, 97, 41, 83, 27, 71, 15, 63, 7, 59)
	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, 36)(25, 33)(26, 41)(28, 40)(29, 43)(32, 45)(34, 46)(37, 49)(39, 47)(42, 52)(44, 53)(48, 55)(50, 54)(51, 56)(57, 60)(58, 64)(59, 66)(61, 67)(62, 72)(63, 73)(65, 76)(68, 80)(69, 78)(70, 84)(71, 85)(74, 88)(75, 90)(77, 92)(79, 95)(81, 93)(82, 89)(83, 98)(86, 100)(87, 101)(91, 103)(94, 106)(96, 104)(97, 107)(99, 109)(102, 110)(105, 112)(108, 111)
	local type(s) :: { ( 28^56 ) }
Outer automorphisms :: reflexible
Dual of E26.833
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 56 f = 4
	degree seq :: [ 56^2 ]

E26.831 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 14, 28})
Quotient :: halfedge^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y1)^2, (R * Y1)^2, (Y3 * Y1)^2, Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y2, Y1^4 * Y2 * Y1^-5 * Y3, Y3 * Y1 * 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 ]
Map:: non-degenerate
	R = (1, 58, 2, 62, 6, 70, 14, 82, 26, 94, 38, 103, 47, 91, 35, 79, 23, 68, 12, 74, 18, 86, 30, 98, 42, 107, 51, 112, 56, 110, 54, 101, 45, 89, 33, 76, 20, 66, 10, 73, 17, 85, 29, 97, 41, 105, 49, 93, 37, 81, 25, 69, 13, 61, 5, 57)(3, 65, 9, 75, 19, 88, 32, 100, 44, 109, 53, 108, 52, 99, 43, 87, 31, 77, 21, 80, 24, 92, 36, 104, 48, 111, 55, 106, 50, 96, 40, 84, 28, 72, 16, 64, 8, 60, 4, 67, 11, 78, 22, 90, 34, 102, 46, 95, 39, 83, 27, 71, 15, 63, 7, 59)
	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, 24)(22, 35)(25, 32)(26, 39)(28, 42)(29, 43)(33, 36)(34, 47)(37, 44)(38, 46)(40, 51)(41, 52)(45, 48)(49, 53)(50, 56)(54, 55)(57, 60)(58, 64)(59, 66)(61, 67)(62, 72)(63, 73)(65, 76)(68, 80)(69, 78)(70, 84)(71, 85)(74, 77)(75, 89)(79, 92)(81, 90)(82, 96)(83, 97)(86, 87)(88, 101)(91, 104)(93, 102)(94, 106)(95, 105)(98, 99)(100, 110)(103, 111)(107, 108)(109, 112)
	local type(s) :: { ( 28^56 ) }
Outer automorphisms :: reflexible
Dual of E26.834
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 56 f = 4
	degree seq :: [ 56^2 ]

E26.832 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 14, 28})
Quotient :: halfedge^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y1^-1 * Y3)^2, R * Y3 * R * Y2, (Y2 * Y1^-1)^2, (R * Y1)^2, Y1^2 * Y3 * Y1^-1 * Y2, Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3, Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1^2 * Y2 * Y3 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 58, 2, 62, 6, 66, 10, 71, 15, 76, 20, 78, 22, 83, 27, 88, 32, 90, 34, 95, 39, 100, 44, 102, 46, 107, 51, 112, 56, 110, 54, 105, 49, 103, 47, 98, 42, 93, 37, 91, 35, 86, 30, 81, 25, 79, 23, 74, 18, 68, 12, 69, 13, 61, 5, 57)(3, 65, 9, 64, 8, 60, 4, 67, 11, 73, 17, 75, 19, 80, 24, 85, 29, 87, 31, 92, 36, 97, 41, 99, 43, 104, 48, 109, 53, 111, 55, 108, 52, 106, 50, 101, 45, 96, 40, 94, 38, 89, 33, 84, 28, 82, 26, 77, 21, 72, 16, 70, 14, 63, 7, 59)
	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, 55)(53, 56)(57, 60)(58, 64)(59, 66)(61, 67)(62, 65)(63, 71)(68, 75)(69, 73)(70, 76)(72, 78)(74, 80)(77, 83)(79, 85)(81, 87)(82, 88)(84, 90)(86, 92)(89, 95)(91, 97)(93, 99)(94, 100)(96, 102)(98, 104)(101, 107)(103, 109)(105, 111)(106, 112)(108, 110)
	local type(s) :: { ( 28^56 ) }
Outer automorphisms :: reflexible
Dual of E26.835
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 56 f = 4
	degree seq :: [ 56^2 ]

E26.833 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 14, 28})
Quotient :: halfedge^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y2 * Y1)^2, (Y3 * Y2)^4, Y1^2 * Y2 * Y1^-2 * Y3 * Y2 * Y1^-3 * Y3, Y1^3 * Y3 * Y2 * Y1 * Y3 * Y1^-3 * Y2, Y1^14, Y2 * Y3 * 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 * Y1^-3 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 58, 2, 62, 6, 70, 14, 82, 26, 97, 41, 108, 52, 92, 36, 104, 48, 112, 56, 96, 40, 81, 25, 69, 13, 61, 5, 57)(3, 65, 9, 75, 19, 89, 33, 105, 49, 103, 47, 88, 32, 80, 24, 95, 39, 111, 55, 98, 42, 83, 27, 71, 15, 63, 7, 59)(4, 67, 11, 78, 22, 93, 37, 109, 53, 102, 46, 87, 31, 77, 21, 91, 35, 107, 51, 99, 43, 84, 28, 72, 16, 64, 8, 60)(10, 73, 17, 85, 29, 100, 44, 110, 54, 94, 38, 79, 23, 68, 12, 74, 18, 86, 30, 101, 45, 106, 50, 90, 34, 76, 20, 66)
	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, 36)(25, 33)(26, 42)(28, 45)(29, 46)(32, 48)(34, 51)(37, 54)(39, 52)(40, 49)(41, 55)(43, 50)(44, 53)(47, 56)(57, 60)(58, 64)(59, 66)(61, 67)(62, 72)(63, 73)(65, 76)(68, 80)(69, 78)(70, 84)(71, 85)(74, 88)(75, 90)(77, 92)(79, 95)(81, 93)(82, 99)(83, 100)(86, 103)(87, 104)(89, 106)(91, 108)(94, 111)(96, 109)(97, 107)(98, 110)(101, 105)(102, 112)
	local type(s) :: { ( 56^28 ) }
Outer automorphisms :: reflexible
Dual of E26.830
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 56 f = 2
	degree seq :: [ 28^4 ]

E26.834 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 14, 28})
Quotient :: halfedge^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y1^-1)^2, (Y1 * Y2)^2, (R * Y1)^2, R * Y3 * R * Y2, Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y1^2 * Y2, Y1^2 * Y3 * Y1^-2 * Y2 * Y3 * Y1^-1 * Y2, Y1^4 * Y3 * Y1^-1 * Y2 * Y3 * Y2, Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1^3 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 58, 2, 62, 6, 70, 14, 82, 26, 92, 36, 101, 45, 110, 54, 106, 50, 96, 40, 97, 41, 81, 25, 69, 13, 61, 5, 57)(3, 65, 9, 75, 19, 89, 33, 88, 32, 80, 24, 95, 39, 105, 49, 111, 55, 102, 46, 98, 42, 83, 27, 71, 15, 63, 7, 59)(4, 67, 11, 78, 22, 93, 37, 103, 47, 107, 51, 109, 53, 100, 44, 87, 31, 77, 21, 91, 35, 84, 28, 72, 16, 64, 8, 60)(10, 73, 17, 85, 29, 99, 43, 108, 52, 112, 56, 104, 48, 94, 38, 79, 23, 68, 12, 74, 18, 86, 30, 90, 34, 76, 20, 66)
	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, 56)(49, 54)(51, 52)(57, 60)(58, 64)(59, 66)(61, 67)(62, 72)(63, 73)(65, 76)(68, 80)(69, 78)(70, 84)(71, 85)(74, 88)(75, 90)(77, 92)(79, 95)(81, 93)(82, 91)(83, 99)(86, 89)(87, 101)(94, 105)(96, 107)(97, 103)(98, 108)(100, 110)(102, 112)(104, 111)(106, 109)
	local type(s) :: { ( 56^28 ) }
Outer automorphisms :: reflexible
Dual of E26.831
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 56 f = 2
	degree seq :: [ 28^4 ]

E26.835 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 14, 28})
Quotient :: halfedge^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y1^-1)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, R * Y2 * R * Y3, (Y1^-2 * Y2)^2, Y1 * Y3 * Y1^-2 * Y2 * Y3 * Y2, Y1^14, Y1^5 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-5 * Y3 ]
Map:: non-degenerate
	R = (1, 58, 2, 62, 6, 70, 14, 82, 26, 90, 34, 98, 42, 106, 50, 105, 49, 97, 41, 89, 33, 81, 25, 69, 13, 61, 5, 57)(3, 65, 9, 75, 19, 80, 24, 88, 32, 96, 40, 104, 48, 112, 56, 107, 51, 99, 43, 91, 35, 83, 27, 71, 15, 63, 7, 59)(4, 67, 11, 78, 22, 86, 30, 94, 38, 102, 46, 110, 54, 109, 53, 101, 45, 93, 37, 85, 29, 77, 21, 72, 16, 64, 8, 60)(10, 73, 17, 84, 28, 92, 36, 100, 44, 108, 52, 111, 55, 103, 47, 95, 39, 87, 31, 79, 23, 68, 12, 74, 18, 76, 20, 66)
	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, 56)(52, 54)(57, 60)(58, 64)(59, 66)(61, 67)(62, 72)(63, 73)(65, 76)(68, 80)(69, 78)(70, 77)(71, 84)(74, 75)(79, 88)(81, 86)(82, 85)(83, 92)(87, 96)(89, 94)(90, 93)(91, 100)(95, 104)(97, 102)(98, 101)(99, 108)(103, 112)(105, 110)(106, 109)(107, 111)
	local type(s) :: { ( 56^28 ) }
Outer automorphisms :: reflexible
Dual of E26.832
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 56 f = 2
	degree seq :: [ 28^4 ]

E26.836 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 14, 28})
Quotient :: edge^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = D112 (small group id <112, 6>)
|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)^4, Y1 * Y2 * Y3^-2 * Y1 * Y3^5 * Y2, Y1 * Y3^-1 * Y2 * Y3^6 * Y1 * Y2, (Y3 * Y1 * Y2)^28 ]
Map::
	R = (1, 57, 4, 60, 12, 68, 24, 80, 39, 95, 55, 111, 42, 98, 26, 82, 41, 97, 56, 112, 40, 96, 25, 81, 13, 69, 5, 61)(2, 58, 7, 63, 17, 73, 31, 87, 47, 103, 50, 106, 34, 90, 19, 75, 33, 89, 49, 105, 48, 104, 32, 88, 18, 74, 8, 64)(3, 59, 10, 66, 22, 78, 37, 93, 53, 109, 44, 100, 28, 84, 14, 70, 27, 83, 43, 99, 54, 110, 38, 94, 23, 79, 11, 67)(6, 62, 15, 71, 29, 85, 45, 101, 52, 108, 36, 92, 21, 77, 9, 65, 20, 76, 35, 91, 51, 107, 46, 102, 30, 86, 16, 72)(113, 114)(115, 121)(116, 120)(117, 119)(118, 126)(122, 133)(123, 132)(124, 130)(125, 129)(127, 140)(128, 139)(131, 138)(134, 148)(135, 147)(136, 144)(137, 143)(141, 156)(142, 155)(145, 154)(146, 153)(149, 164)(150, 163)(151, 160)(152, 159)(157, 165)(158, 166)(161, 167)(162, 168)(169, 171)(170, 174)(172, 179)(173, 178)(175, 184)(176, 183)(177, 187)(180, 191)(181, 190)(182, 194)(185, 198)(186, 197)(188, 202)(189, 201)(192, 206)(193, 205)(195, 210)(196, 209)(199, 214)(200, 213)(203, 218)(204, 217)(207, 222)(208, 221)(211, 223)(212, 224)(215, 219)(216, 220)
	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) :: { ( 112, 112 ), ( 112^28 ) }
Outer automorphisms :: reflexible
Dual of E26.845
Graph:: simple bipartite
	v = 60 e = 112 f = 2
	degree seq :: [ 2^56, 28^4 ]

E26.837 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 14, 28})
Quotient :: edge^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = D112 (small group id <112, 6>)
|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 * Y3^5 * Y1, Y3^3 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1, (Y3 * Y1 * Y2)^28 ]
Map::
	R = (1, 57, 4, 60, 12, 68, 24, 80, 40, 96, 33, 89, 48, 104, 54, 110, 43, 99, 26, 82, 41, 97, 25, 81, 13, 69, 5, 61)(2, 58, 7, 63, 17, 73, 31, 87, 46, 102, 42, 98, 53, 109, 49, 105, 35, 91, 19, 75, 34, 90, 32, 88, 18, 74, 8, 64)(3, 59, 10, 66, 22, 78, 38, 94, 28, 84, 14, 70, 27, 83, 44, 100, 55, 111, 47, 103, 51, 107, 39, 95, 23, 79, 11, 67)(6, 62, 15, 71, 29, 85, 37, 93, 21, 77, 9, 65, 20, 76, 36, 92, 50, 106, 52, 108, 56, 112, 45, 101, 30, 86, 16, 72)(113, 114)(115, 121)(116, 120)(117, 119)(118, 126)(122, 133)(123, 132)(124, 130)(125, 129)(127, 140)(128, 139)(131, 145)(134, 149)(135, 148)(136, 144)(137, 143)(138, 154)(141, 150)(142, 156)(146, 152)(147, 160)(151, 162)(153, 158)(155, 165)(157, 167)(159, 168)(161, 166)(163, 164)(169, 171)(170, 174)(172, 179)(173, 178)(175, 184)(176, 183)(177, 187)(180, 191)(181, 190)(182, 194)(185, 198)(186, 197)(188, 203)(189, 202)(192, 207)(193, 206)(195, 211)(196, 209)(199, 213)(200, 205)(201, 215)(204, 217)(208, 219)(210, 220)(212, 222)(214, 224)(216, 223)(218, 221)
	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) :: { ( 112, 112 ), ( 112^28 ) }
Outer automorphisms :: reflexible
Dual of E26.846
Graph:: simple bipartite
	v = 60 e = 112 f = 2
	degree seq :: [ 2^56, 28^4 ]

E26.838 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 14, 28})
Quotient :: edge^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = D112 (small group id <112, 6>)
|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, Y3^14, Y3^-1 * Y1 * Y3^5 * Y2 * Y3^-5 * Y1 * Y2, (Y3 * Y1 * Y2)^28 ]
Map::
	R = (1, 57, 4, 60, 12, 68, 24, 80, 32, 88, 40, 96, 48, 104, 56, 112, 49, 105, 41, 97, 33, 89, 25, 81, 13, 69, 5, 61)(2, 58, 7, 63, 17, 73, 28, 84, 36, 92, 44, 100, 52, 108, 53, 109, 45, 101, 37, 93, 29, 85, 19, 75, 18, 74, 8, 64)(3, 59, 10, 66, 22, 78, 14, 70, 26, 82, 34, 90, 42, 98, 50, 106, 55, 111, 47, 103, 39, 95, 31, 87, 23, 79, 11, 67)(6, 62, 15, 71, 21, 77, 9, 65, 20, 76, 30, 86, 38, 94, 46, 102, 54, 110, 51, 107, 43, 99, 35, 91, 27, 83, 16, 72)(113, 114)(115, 121)(116, 120)(117, 119)(118, 126)(122, 133)(123, 132)(124, 130)(125, 129)(127, 134)(128, 138)(131, 136)(135, 142)(137, 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, 167)(165, 168)(169, 171)(170, 174)(172, 179)(173, 178)(175, 184)(176, 183)(177, 187)(180, 191)(181, 190)(182, 193)(185, 195)(186, 189)(188, 197)(192, 199)(194, 201)(196, 203)(198, 205)(200, 207)(202, 209)(204, 211)(206, 213)(208, 215)(210, 217)(212, 219)(214, 221)(216, 223)(218, 224)(220, 222)
	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) :: { ( 112, 112 ), ( 112^28 ) }
Outer automorphisms :: reflexible
Dual of E26.847
Graph:: simple bipartite
	v = 60 e = 112 f = 2
	degree seq :: [ 2^56, 28^4 ]

E26.839 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 14, 28})
Quotient :: edge^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = D112 (small group id <112, 6>)
|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)^4, Y1 * Y3^-1 * Y2 * Y3^6, (Y3 * Y1 * Y2)^14 ]
Map::
	R = (1, 57, 4, 60, 12, 68, 24, 80, 39, 95, 36, 92, 21, 77, 9, 65, 20, 76, 35, 91, 49, 105, 56, 112, 52, 108, 42, 98, 26, 82, 41, 97, 51, 107, 54, 110, 45, 101, 30, 86, 16, 72, 6, 62, 15, 71, 29, 85, 40, 96, 25, 81, 13, 69, 5, 61)(2, 58, 7, 63, 17, 73, 31, 87, 46, 102, 44, 100, 28, 84, 14, 70, 27, 83, 43, 99, 53, 109, 55, 111, 48, 104, 34, 90, 19, 75, 33, 89, 47, 103, 50, 106, 38, 94, 23, 79, 11, 67, 3, 59, 10, 66, 22, 78, 37, 93, 32, 88, 18, 74, 8, 64)(113, 114)(115, 121)(116, 120)(117, 119)(118, 126)(122, 133)(123, 132)(124, 130)(125, 129)(127, 140)(128, 139)(131, 138)(134, 148)(135, 147)(136, 144)(137, 143)(141, 156)(142, 155)(145, 154)(146, 153)(149, 151)(150, 161)(152, 158)(157, 165)(159, 164)(160, 163)(162, 168)(166, 167)(169, 171)(170, 174)(172, 179)(173, 178)(175, 184)(176, 183)(177, 187)(180, 191)(181, 190)(182, 194)(185, 198)(186, 197)(188, 202)(189, 201)(192, 206)(193, 205)(195, 210)(196, 209)(199, 213)(200, 208)(203, 216)(204, 215)(207, 218)(211, 220)(212, 219)(214, 222)(217, 223)(221, 224)
	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) :: { ( 56, 56 ), ( 56^56 ) }
Outer automorphisms :: reflexible
Dual of E26.842
Graph:: simple bipartite
	v = 58 e = 112 f = 4
	degree seq :: [ 2^56, 56^2 ]

E26.840 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 14, 28})
Quotient :: edge^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y1 * Y3^-1)^2, (Y3 * Y2)^2, Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2, Y2 * Y3^-1 * Y1 * Y3^8, (Y1 * Y3 * Y2)^7 ]
Map::
	R = (1, 57, 4, 60, 12, 68, 24, 80, 36, 92, 48, 104, 40, 96, 28, 84, 16, 72, 6, 62, 15, 71, 27, 83, 39, 95, 51, 107, 56, 112, 54, 110, 45, 101, 33, 89, 21, 77, 9, 65, 20, 76, 32, 88, 44, 100, 49, 105, 37, 93, 25, 81, 13, 69, 5, 61)(2, 58, 7, 63, 17, 73, 29, 85, 41, 97, 47, 103, 35, 91, 23, 79, 11, 67, 3, 59, 10, 66, 22, 78, 34, 90, 46, 102, 55, 111, 53, 109, 43, 99, 31, 87, 19, 75, 14, 70, 26, 82, 38, 94, 50, 106, 52, 108, 42, 98, 30, 86, 18, 74, 8, 64)(113, 114)(115, 121)(116, 120)(117, 119)(118, 126)(122, 133)(123, 132)(124, 130)(125, 129)(127, 131)(128, 138)(134, 145)(135, 144)(136, 142)(137, 141)(139, 143)(140, 150)(146, 157)(147, 156)(148, 154)(149, 153)(151, 155)(152, 162)(158, 166)(159, 161)(160, 164)(163, 165)(167, 168)(169, 171)(170, 174)(172, 179)(173, 178)(175, 184)(176, 183)(177, 187)(180, 191)(181, 190)(182, 189)(185, 196)(186, 195)(188, 199)(192, 203)(193, 202)(194, 201)(197, 208)(198, 207)(200, 211)(204, 215)(205, 214)(206, 213)(209, 216)(210, 219)(212, 221)(217, 223)(218, 222)(220, 224)
	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) :: { ( 56, 56 ), ( 56^56 ) }
Outer automorphisms :: reflexible
Dual of E26.843
Graph:: simple bipartite
	v = 58 e = 112 f = 4
	degree seq :: [ 2^56, 56^2 ]

E26.841 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 14, 28})
Quotient :: edge^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y3^-1)^2, (R * Y3)^2, R * Y2 * R * Y1, (Y3 * Y2)^2, Y2 * Y3^3 * Y1, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y2 ]
Map::
	R = (1, 57, 4, 60, 12, 68, 9, 65, 18, 74, 25, 81, 23, 79, 30, 86, 37, 93, 35, 91, 42, 98, 49, 105, 47, 103, 54, 110, 56, 112, 51, 107, 44, 100, 46, 102, 39, 95, 32, 88, 34, 90, 27, 83, 20, 76, 22, 78, 15, 71, 6, 62, 13, 69, 5, 61)(2, 58, 7, 63, 16, 72, 14, 70, 21, 77, 28, 84, 26, 82, 33, 89, 40, 96, 38, 94, 45, 101, 52, 108, 50, 106, 53, 109, 55, 111, 48, 104, 41, 97, 43, 99, 36, 92, 29, 85, 31, 87, 24, 80, 17, 73, 19, 75, 11, 67, 3, 59, 10, 66, 8, 64)(113, 114)(115, 121)(116, 120)(117, 119)(118, 126)(122, 124)(123, 130)(125, 128)(127, 133)(129, 135)(131, 137)(132, 138)(134, 140)(136, 142)(139, 145)(141, 147)(143, 149)(144, 150)(146, 152)(148, 154)(151, 157)(153, 159)(155, 161)(156, 162)(158, 164)(160, 166)(163, 165)(167, 168)(169, 171)(170, 174)(172, 179)(173, 178)(175, 183)(176, 181)(177, 185)(180, 187)(182, 188)(184, 190)(186, 192)(189, 195)(191, 197)(193, 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, 222)(220, 224)
	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) :: { ( 56, 56 ), ( 56^56 ) }
Outer automorphisms :: reflexible
Dual of E26.844
Graph:: simple bipartite
	v = 58 e = 112 f = 4
	degree seq :: [ 2^56, 56^2 ]

E26.842 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 14, 28})
Quotient :: loop^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = D112 (small group id <112, 6>)
|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)^4, Y1 * Y2 * Y3^-2 * Y1 * Y3^5 * Y2, Y1 * Y3^-1 * Y2 * Y3^6 * Y1 * Y2, (Y3 * Y1 * Y2)^28 ]
Map::
	R = (1, 57, 113, 169, 4, 60, 116, 172, 12, 68, 124, 180, 24, 80, 136, 192, 39, 95, 151, 207, 55, 111, 167, 223, 42, 98, 154, 210, 26, 82, 138, 194, 41, 97, 153, 209, 56, 112, 168, 224, 40, 96, 152, 208, 25, 81, 137, 193, 13, 69, 125, 181, 5, 61, 117, 173)(2, 58, 114, 170, 7, 63, 119, 175, 17, 73, 129, 185, 31, 87, 143, 199, 47, 103, 159, 215, 50, 106, 162, 218, 34, 90, 146, 202, 19, 75, 131, 187, 33, 89, 145, 201, 49, 105, 161, 217, 48, 104, 160, 216, 32, 88, 144, 200, 18, 74, 130, 186, 8, 64, 120, 176)(3, 59, 115, 171, 10, 66, 122, 178, 22, 78, 134, 190, 37, 93, 149, 205, 53, 109, 165, 221, 44, 100, 156, 212, 28, 84, 140, 196, 14, 70, 126, 182, 27, 83, 139, 195, 43, 99, 155, 211, 54, 110, 166, 222, 38, 94, 150, 206, 23, 79, 135, 191, 11, 67, 123, 179)(6, 62, 118, 174, 15, 71, 127, 183, 29, 85, 141, 197, 45, 101, 157, 213, 52, 108, 164, 220, 36, 92, 148, 204, 21, 77, 133, 189, 9, 65, 121, 177, 20, 76, 132, 188, 35, 91, 147, 203, 51, 107, 163, 219, 46, 102, 158, 214, 30, 86, 142, 198, 16, 72, 128, 184)
	L = (1, 58)(2, 57)(3, 65)(4, 64)(5, 63)(6, 70)(7, 61)(8, 60)(9, 59)(10, 77)(11, 76)(12, 74)(13, 73)(14, 62)(15, 84)(16, 83)(17, 69)(18, 68)(19, 82)(20, 67)(21, 66)(22, 92)(23, 91)(24, 88)(25, 87)(26, 75)(27, 72)(28, 71)(29, 100)(30, 99)(31, 81)(32, 80)(33, 98)(34, 97)(35, 79)(36, 78)(37, 108)(38, 107)(39, 104)(40, 103)(41, 90)(42, 89)(43, 86)(44, 85)(45, 109)(46, 110)(47, 96)(48, 95)(49, 111)(50, 112)(51, 94)(52, 93)(53, 101)(54, 102)(55, 105)(56, 106)(113, 171)(114, 174)(115, 169)(116, 179)(117, 178)(118, 170)(119, 184)(120, 183)(121, 187)(122, 173)(123, 172)(124, 191)(125, 190)(126, 194)(127, 176)(128, 175)(129, 198)(130, 197)(131, 177)(132, 202)(133, 201)(134, 181)(135, 180)(136, 206)(137, 205)(138, 182)(139, 210)(140, 209)(141, 186)(142, 185)(143, 214)(144, 213)(145, 189)(146, 188)(147, 218)(148, 217)(149, 193)(150, 192)(151, 222)(152, 221)(153, 196)(154, 195)(155, 223)(156, 224)(157, 200)(158, 199)(159, 219)(160, 220)(161, 204)(162, 203)(163, 215)(164, 216)(165, 208)(166, 207)(167, 211)(168, 212)
	local type(s) :: { ( 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.839
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 112 f = 58
	degree seq :: [ 56^4 ]

E26.843 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 14, 28})
Quotient :: loop^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = D112 (small group id <112, 6>)
|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 * Y3^5 * Y1, Y3^3 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1, (Y3 * Y1 * Y2)^28 ]
Map::
	R = (1, 57, 113, 169, 4, 60, 116, 172, 12, 68, 124, 180, 24, 80, 136, 192, 40, 96, 152, 208, 33, 89, 145, 201, 48, 104, 160, 216, 54, 110, 166, 222, 43, 99, 155, 211, 26, 82, 138, 194, 41, 97, 153, 209, 25, 81, 137, 193, 13, 69, 125, 181, 5, 61, 117, 173)(2, 58, 114, 170, 7, 63, 119, 175, 17, 73, 129, 185, 31, 87, 143, 199, 46, 102, 158, 214, 42, 98, 154, 210, 53, 109, 165, 221, 49, 105, 161, 217, 35, 91, 147, 203, 19, 75, 131, 187, 34, 90, 146, 202, 32, 88, 144, 200, 18, 74, 130, 186, 8, 64, 120, 176)(3, 59, 115, 171, 10, 66, 122, 178, 22, 78, 134, 190, 38, 94, 150, 206, 28, 84, 140, 196, 14, 70, 126, 182, 27, 83, 139, 195, 44, 100, 156, 212, 55, 111, 167, 223, 47, 103, 159, 215, 51, 107, 163, 219, 39, 95, 151, 207, 23, 79, 135, 191, 11, 67, 123, 179)(6, 62, 118, 174, 15, 71, 127, 183, 29, 85, 141, 197, 37, 93, 149, 205, 21, 77, 133, 189, 9, 65, 121, 177, 20, 76, 132, 188, 36, 92, 148, 204, 50, 106, 162, 218, 52, 108, 164, 220, 56, 112, 168, 224, 45, 101, 157, 213, 30, 86, 142, 198, 16, 72, 128, 184)
	L = (1, 58)(2, 57)(3, 65)(4, 64)(5, 63)(6, 70)(7, 61)(8, 60)(9, 59)(10, 77)(11, 76)(12, 74)(13, 73)(14, 62)(15, 84)(16, 83)(17, 69)(18, 68)(19, 89)(20, 67)(21, 66)(22, 93)(23, 92)(24, 88)(25, 87)(26, 98)(27, 72)(28, 71)(29, 94)(30, 100)(31, 81)(32, 80)(33, 75)(34, 96)(35, 104)(36, 79)(37, 78)(38, 85)(39, 106)(40, 90)(41, 102)(42, 82)(43, 109)(44, 86)(45, 111)(46, 97)(47, 112)(48, 91)(49, 110)(50, 95)(51, 108)(52, 107)(53, 99)(54, 105)(55, 101)(56, 103)(113, 171)(114, 174)(115, 169)(116, 179)(117, 178)(118, 170)(119, 184)(120, 183)(121, 187)(122, 173)(123, 172)(124, 191)(125, 190)(126, 194)(127, 176)(128, 175)(129, 198)(130, 197)(131, 177)(132, 203)(133, 202)(134, 181)(135, 180)(136, 207)(137, 206)(138, 182)(139, 211)(140, 209)(141, 186)(142, 185)(143, 213)(144, 205)(145, 215)(146, 189)(147, 188)(148, 217)(149, 200)(150, 193)(151, 192)(152, 219)(153, 196)(154, 220)(155, 195)(156, 222)(157, 199)(158, 224)(159, 201)(160, 223)(161, 204)(162, 221)(163, 208)(164, 210)(165, 218)(166, 212)(167, 216)(168, 214)
	local type(s) :: { ( 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.840
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 112 f = 58
	degree seq :: [ 56^4 ]

E26.844 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 14, 28})
Quotient :: loop^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = D112 (small group id <112, 6>)
|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, Y3^14, Y3^-1 * Y1 * Y3^5 * Y2 * Y3^-5 * Y1 * Y2, (Y3 * Y1 * Y2)^28 ]
Map::
	R = (1, 57, 113, 169, 4, 60, 116, 172, 12, 68, 124, 180, 24, 80, 136, 192, 32, 88, 144, 200, 40, 96, 152, 208, 48, 104, 160, 216, 56, 112, 168, 224, 49, 105, 161, 217, 41, 97, 153, 209, 33, 89, 145, 201, 25, 81, 137, 193, 13, 69, 125, 181, 5, 61, 117, 173)(2, 58, 114, 170, 7, 63, 119, 175, 17, 73, 129, 185, 28, 84, 140, 196, 36, 92, 148, 204, 44, 100, 156, 212, 52, 108, 164, 220, 53, 109, 165, 221, 45, 101, 157, 213, 37, 93, 149, 205, 29, 85, 141, 197, 19, 75, 131, 187, 18, 74, 130, 186, 8, 64, 120, 176)(3, 59, 115, 171, 10, 66, 122, 178, 22, 78, 134, 190, 14, 70, 126, 182, 26, 82, 138, 194, 34, 90, 146, 202, 42, 98, 154, 210, 50, 106, 162, 218, 55, 111, 167, 223, 47, 103, 159, 215, 39, 95, 151, 207, 31, 87, 143, 199, 23, 79, 135, 191, 11, 67, 123, 179)(6, 62, 118, 174, 15, 71, 127, 183, 21, 77, 133, 189, 9, 65, 121, 177, 20, 76, 132, 188, 30, 86, 142, 198, 38, 94, 150, 206, 46, 102, 158, 214, 54, 110, 166, 222, 51, 107, 163, 219, 43, 99, 155, 211, 35, 91, 147, 203, 27, 83, 139, 195, 16, 72, 128, 184)
	L = (1, 58)(2, 57)(3, 65)(4, 64)(5, 63)(6, 70)(7, 61)(8, 60)(9, 59)(10, 77)(11, 76)(12, 74)(13, 73)(14, 62)(15, 78)(16, 82)(17, 69)(18, 68)(19, 80)(20, 67)(21, 66)(22, 71)(23, 86)(24, 75)(25, 84)(26, 72)(27, 90)(28, 81)(29, 88)(30, 79)(31, 94)(32, 85)(33, 92)(34, 83)(35, 98)(36, 89)(37, 96)(38, 87)(39, 102)(40, 93)(41, 100)(42, 91)(43, 106)(44, 97)(45, 104)(46, 95)(47, 110)(48, 101)(49, 108)(50, 99)(51, 111)(52, 105)(53, 112)(54, 103)(55, 107)(56, 109)(113, 171)(114, 174)(115, 169)(116, 179)(117, 178)(118, 170)(119, 184)(120, 183)(121, 187)(122, 173)(123, 172)(124, 191)(125, 190)(126, 193)(127, 176)(128, 175)(129, 195)(130, 189)(131, 177)(132, 197)(133, 186)(134, 181)(135, 180)(136, 199)(137, 182)(138, 201)(139, 185)(140, 203)(141, 188)(142, 205)(143, 192)(144, 207)(145, 194)(146, 209)(147, 196)(148, 211)(149, 198)(150, 213)(151, 200)(152, 215)(153, 202)(154, 217)(155, 204)(156, 219)(157, 206)(158, 221)(159, 208)(160, 223)(161, 210)(162, 224)(163, 212)(164, 222)(165, 214)(166, 220)(167, 216)(168, 218)
	local type(s) :: { ( 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.841
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 112 f = 58
	degree seq :: [ 56^4 ]

E26.845 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 14, 28})
Quotient :: loop^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = D112 (small group id <112, 6>)
|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)^4, Y1 * Y3^-1 * Y2 * Y3^6, (Y3 * Y1 * Y2)^14 ]
Map::
	R = (1, 57, 113, 169, 4, 60, 116, 172, 12, 68, 124, 180, 24, 80, 136, 192, 39, 95, 151, 207, 36, 92, 148, 204, 21, 77, 133, 189, 9, 65, 121, 177, 20, 76, 132, 188, 35, 91, 147, 203, 49, 105, 161, 217, 56, 112, 168, 224, 52, 108, 164, 220, 42, 98, 154, 210, 26, 82, 138, 194, 41, 97, 153, 209, 51, 107, 163, 219, 54, 110, 166, 222, 45, 101, 157, 213, 30, 86, 142, 198, 16, 72, 128, 184, 6, 62, 118, 174, 15, 71, 127, 183, 29, 85, 141, 197, 40, 96, 152, 208, 25, 81, 137, 193, 13, 69, 125, 181, 5, 61, 117, 173)(2, 58, 114, 170, 7, 63, 119, 175, 17, 73, 129, 185, 31, 87, 143, 199, 46, 102, 158, 214, 44, 100, 156, 212, 28, 84, 140, 196, 14, 70, 126, 182, 27, 83, 139, 195, 43, 99, 155, 211, 53, 109, 165, 221, 55, 111, 167, 223, 48, 104, 160, 216, 34, 90, 146, 202, 19, 75, 131, 187, 33, 89, 145, 201, 47, 103, 159, 215, 50, 106, 162, 218, 38, 94, 150, 206, 23, 79, 135, 191, 11, 67, 123, 179, 3, 59, 115, 171, 10, 66, 122, 178, 22, 78, 134, 190, 37, 93, 149, 205, 32, 88, 144, 200, 18, 74, 130, 186, 8, 64, 120, 176)
	L = (1, 58)(2, 57)(3, 65)(4, 64)(5, 63)(6, 70)(7, 61)(8, 60)(9, 59)(10, 77)(11, 76)(12, 74)(13, 73)(14, 62)(15, 84)(16, 83)(17, 69)(18, 68)(19, 82)(20, 67)(21, 66)(22, 92)(23, 91)(24, 88)(25, 87)(26, 75)(27, 72)(28, 71)(29, 100)(30, 99)(31, 81)(32, 80)(33, 98)(34, 97)(35, 79)(36, 78)(37, 95)(38, 105)(39, 93)(40, 102)(41, 90)(42, 89)(43, 86)(44, 85)(45, 109)(46, 96)(47, 108)(48, 107)(49, 94)(50, 112)(51, 104)(52, 103)(53, 101)(54, 111)(55, 110)(56, 106)(113, 171)(114, 174)(115, 169)(116, 179)(117, 178)(118, 170)(119, 184)(120, 183)(121, 187)(122, 173)(123, 172)(124, 191)(125, 190)(126, 194)(127, 176)(128, 175)(129, 198)(130, 197)(131, 177)(132, 202)(133, 201)(134, 181)(135, 180)(136, 206)(137, 205)(138, 182)(139, 210)(140, 209)(141, 186)(142, 185)(143, 213)(144, 208)(145, 189)(146, 188)(147, 216)(148, 215)(149, 193)(150, 192)(151, 218)(152, 200)(153, 196)(154, 195)(155, 220)(156, 219)(157, 199)(158, 222)(159, 204)(160, 203)(161, 223)(162, 207)(163, 212)(164, 211)(165, 224)(166, 214)(167, 217)(168, 221)
	local type(s) :: { ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28 ) }
Outer automorphisms :: reflexible
Dual of E26.836
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 112 f = 60
	degree seq :: [ 112^2 ]

E26.846 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 14, 28})
Quotient :: loop^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y1 * Y3^-1)^2, (Y3 * Y2)^2, Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2, Y2 * Y3^-1 * Y1 * Y3^8, (Y1 * Y3 * Y2)^7 ]
Map::
	R = (1, 57, 113, 169, 4, 60, 116, 172, 12, 68, 124, 180, 24, 80, 136, 192, 36, 92, 148, 204, 48, 104, 160, 216, 40, 96, 152, 208, 28, 84, 140, 196, 16, 72, 128, 184, 6, 62, 118, 174, 15, 71, 127, 183, 27, 83, 139, 195, 39, 95, 151, 207, 51, 107, 163, 219, 56, 112, 168, 224, 54, 110, 166, 222, 45, 101, 157, 213, 33, 89, 145, 201, 21, 77, 133, 189, 9, 65, 121, 177, 20, 76, 132, 188, 32, 88, 144, 200, 44, 100, 156, 212, 49, 105, 161, 217, 37, 93, 149, 205, 25, 81, 137, 193, 13, 69, 125, 181, 5, 61, 117, 173)(2, 58, 114, 170, 7, 63, 119, 175, 17, 73, 129, 185, 29, 85, 141, 197, 41, 97, 153, 209, 47, 103, 159, 215, 35, 91, 147, 203, 23, 79, 135, 191, 11, 67, 123, 179, 3, 59, 115, 171, 10, 66, 122, 178, 22, 78, 134, 190, 34, 90, 146, 202, 46, 102, 158, 214, 55, 111, 167, 223, 53, 109, 165, 221, 43, 99, 155, 211, 31, 87, 143, 199, 19, 75, 131, 187, 14, 70, 126, 182, 26, 82, 138, 194, 38, 94, 150, 206, 50, 106, 162, 218, 52, 108, 164, 220, 42, 98, 154, 210, 30, 86, 142, 198, 18, 74, 130, 186, 8, 64, 120, 176)
	L = (1, 58)(2, 57)(3, 65)(4, 64)(5, 63)(6, 70)(7, 61)(8, 60)(9, 59)(10, 77)(11, 76)(12, 74)(13, 73)(14, 62)(15, 75)(16, 82)(17, 69)(18, 68)(19, 71)(20, 67)(21, 66)(22, 89)(23, 88)(24, 86)(25, 85)(26, 72)(27, 87)(28, 94)(29, 81)(30, 80)(31, 83)(32, 79)(33, 78)(34, 101)(35, 100)(36, 98)(37, 97)(38, 84)(39, 99)(40, 106)(41, 93)(42, 92)(43, 95)(44, 91)(45, 90)(46, 110)(47, 105)(48, 108)(49, 103)(50, 96)(51, 109)(52, 104)(53, 107)(54, 102)(55, 112)(56, 111)(113, 171)(114, 174)(115, 169)(116, 179)(117, 178)(118, 170)(119, 184)(120, 183)(121, 187)(122, 173)(123, 172)(124, 191)(125, 190)(126, 189)(127, 176)(128, 175)(129, 196)(130, 195)(131, 177)(132, 199)(133, 182)(134, 181)(135, 180)(136, 203)(137, 202)(138, 201)(139, 186)(140, 185)(141, 208)(142, 207)(143, 188)(144, 211)(145, 194)(146, 193)(147, 192)(148, 215)(149, 214)(150, 213)(151, 198)(152, 197)(153, 216)(154, 219)(155, 200)(156, 221)(157, 206)(158, 205)(159, 204)(160, 209)(161, 223)(162, 222)(163, 210)(164, 224)(165, 212)(166, 218)(167, 217)(168, 220)
	local type(s) :: { ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28 ) }
Outer automorphisms :: reflexible
Dual of E26.837
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 112 f = 60
	degree seq :: [ 112^2 ]

E26.847 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 14, 28})
Quotient :: loop^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y3^-1)^2, (R * Y3)^2, R * Y2 * R * Y1, (Y3 * Y2)^2, Y2 * Y3^3 * Y1, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y2 ]
Map::
	R = (1, 57, 113, 169, 4, 60, 116, 172, 12, 68, 124, 180, 9, 65, 121, 177, 18, 74, 130, 186, 25, 81, 137, 193, 23, 79, 135, 191, 30, 86, 142, 198, 37, 93, 149, 205, 35, 91, 147, 203, 42, 98, 154, 210, 49, 105, 161, 217, 47, 103, 159, 215, 54, 110, 166, 222, 56, 112, 168, 224, 51, 107, 163, 219, 44, 100, 156, 212, 46, 102, 158, 214, 39, 95, 151, 207, 32, 88, 144, 200, 34, 90, 146, 202, 27, 83, 139, 195, 20, 76, 132, 188, 22, 78, 134, 190, 15, 71, 127, 183, 6, 62, 118, 174, 13, 69, 125, 181, 5, 61, 117, 173)(2, 58, 114, 170, 7, 63, 119, 175, 16, 72, 128, 184, 14, 70, 126, 182, 21, 77, 133, 189, 28, 84, 140, 196, 26, 82, 138, 194, 33, 89, 145, 201, 40, 96, 152, 208, 38, 94, 150, 206, 45, 101, 157, 213, 52, 108, 164, 220, 50, 106, 162, 218, 53, 109, 165, 221, 55, 111, 167, 223, 48, 104, 160, 216, 41, 97, 153, 209, 43, 99, 155, 211, 36, 92, 148, 204, 29, 85, 141, 197, 31, 87, 143, 199, 24, 80, 136, 192, 17, 73, 129, 185, 19, 75, 131, 187, 11, 67, 123, 179, 3, 59, 115, 171, 10, 66, 122, 178, 8, 64, 120, 176)
	L = (1, 58)(2, 57)(3, 65)(4, 64)(5, 63)(6, 70)(7, 61)(8, 60)(9, 59)(10, 68)(11, 74)(12, 66)(13, 72)(14, 62)(15, 77)(16, 69)(17, 79)(18, 67)(19, 81)(20, 82)(21, 71)(22, 84)(23, 73)(24, 86)(25, 75)(26, 76)(27, 89)(28, 78)(29, 91)(30, 80)(31, 93)(32, 94)(33, 83)(34, 96)(35, 85)(36, 98)(37, 87)(38, 88)(39, 101)(40, 90)(41, 103)(42, 92)(43, 105)(44, 106)(45, 95)(46, 108)(47, 97)(48, 110)(49, 99)(50, 100)(51, 109)(52, 102)(53, 107)(54, 104)(55, 112)(56, 111)(113, 171)(114, 174)(115, 169)(116, 179)(117, 178)(118, 170)(119, 183)(120, 181)(121, 185)(122, 173)(123, 172)(124, 187)(125, 176)(126, 188)(127, 175)(128, 190)(129, 177)(130, 192)(131, 180)(132, 182)(133, 195)(134, 184)(135, 197)(136, 186)(137, 199)(138, 200)(139, 189)(140, 202)(141, 191)(142, 204)(143, 193)(144, 194)(145, 207)(146, 196)(147, 209)(148, 198)(149, 211)(150, 212)(151, 201)(152, 214)(153, 203)(154, 216)(155, 205)(156, 206)(157, 219)(158, 208)(159, 221)(160, 210)(161, 223)(162, 222)(163, 213)(164, 224)(165, 215)(166, 218)(167, 217)(168, 220)
	local type(s) :: { ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28 ) }
Outer automorphisms :: reflexible
Dual of E26.838
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 112 f = 60
	degree seq :: [ 112^2 ]

E26.848 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 14, 28})
Quotient :: dipole
Aut^+ = C7 x D8 (small group id <56, 9>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y2 * Y3 * Y2, Y1 * Y3^-1 * Y1 * Y2 * Y3, Y3^14 ]
Map:: non-degenerate
	R = (1, 57, 2, 58)(3, 59, 6, 62)(4, 60, 11, 67)(5, 61, 13, 69)(7, 63, 9, 65)(8, 64, 10, 66)(12, 68, 15, 71)(14, 70, 16, 72)(17, 73, 19, 75)(18, 74, 21, 77)(20, 76, 27, 83)(22, 78, 29, 85)(23, 79, 25, 81)(24, 80, 26, 82)(28, 84, 31, 87)(30, 86, 32, 88)(33, 89, 35, 91)(34, 90, 37, 93)(36, 92, 43, 99)(38, 94, 45, 101)(39, 95, 41, 97)(40, 96, 42, 98)(44, 100, 47, 103)(46, 102, 48, 104)(49, 105, 51, 107)(50, 106, 53, 109)(52, 108, 56, 112)(54, 110, 55, 111)(113, 169, 115, 171)(114, 170, 118, 174)(116, 172, 121, 177)(117, 173, 122, 178)(119, 175, 123, 179)(120, 176, 125, 181)(124, 180, 129, 185)(126, 182, 130, 186)(127, 183, 131, 187)(128, 184, 133, 189)(132, 188, 137, 193)(134, 190, 138, 194)(135, 191, 139, 195)(136, 192, 141, 197)(140, 196, 145, 201)(142, 198, 146, 202)(143, 199, 147, 203)(144, 200, 149, 205)(148, 204, 153, 209)(150, 206, 154, 210)(151, 207, 155, 211)(152, 208, 157, 213)(156, 212, 161, 217)(158, 214, 162, 218)(159, 215, 163, 219)(160, 216, 165, 221)(164, 220, 167, 223)(166, 222, 168, 224)
	L = (1, 116)(2, 119)(3, 121)(4, 124)(5, 113)(6, 123)(7, 127)(8, 114)(9, 129)(10, 115)(11, 131)(12, 132)(13, 118)(14, 117)(15, 135)(16, 120)(17, 137)(18, 122)(19, 139)(20, 140)(21, 125)(22, 126)(23, 143)(24, 128)(25, 145)(26, 130)(27, 147)(28, 148)(29, 133)(30, 134)(31, 151)(32, 136)(33, 153)(34, 138)(35, 155)(36, 156)(37, 141)(38, 142)(39, 159)(40, 144)(41, 161)(42, 146)(43, 163)(44, 164)(45, 149)(46, 150)(47, 166)(48, 152)(49, 167)(50, 154)(51, 168)(52, 158)(53, 157)(54, 160)(55, 162)(56, 165)(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) :: { ( 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.867
Graph:: simple bipartite
	v = 56 e = 112 f = 6
	degree seq :: [ 4^56 ]

E26.849 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 14, 28})
Quotient :: dipole
Aut^+ = D56 (small group id <56, 5>)
Aut   = C2 x D56 (small group id <112, 29>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (Y2 * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, Y3^4, (R * Y1)^2, (R * Y2)^2, Y3^2 * Y2^7 ]
Map:: non-degenerate
	R = (1, 57, 2, 58)(3, 59, 9, 65)(4, 60, 10, 66)(5, 61, 7, 63)(6, 62, 8, 64)(11, 67, 23, 79)(12, 68, 24, 80)(13, 69, 22, 78)(14, 70, 21, 77)(15, 71, 20, 76)(16, 72, 18, 74)(17, 73, 19, 75)(25, 81, 39, 95)(26, 82, 40, 96)(27, 83, 38, 94)(28, 84, 37, 93)(29, 85, 36, 92)(30, 86, 35, 91)(31, 87, 33, 89)(32, 88, 34, 90)(41, 97, 55, 111)(42, 98, 56, 112)(43, 99, 54, 110)(44, 100, 53, 109)(45, 101, 52, 108)(46, 102, 51, 107)(47, 103, 49, 105)(48, 104, 50, 106)(113, 169, 115, 171, 123, 179, 137, 193, 153, 209, 157, 213, 141, 197, 126, 182, 140, 196, 156, 212, 159, 215, 143, 199, 128, 184, 117, 173)(114, 170, 119, 175, 130, 186, 145, 201, 161, 217, 165, 221, 149, 205, 133, 189, 148, 204, 164, 220, 167, 223, 151, 207, 135, 191, 121, 177)(116, 172, 124, 180, 138, 194, 154, 210, 160, 216, 144, 200, 129, 185, 118, 174, 125, 181, 139, 195, 155, 211, 158, 214, 142, 198, 127, 183)(120, 176, 131, 187, 146, 202, 162, 218, 168, 224, 152, 208, 136, 192, 122, 178, 132, 188, 147, 203, 163, 219, 166, 222, 150, 206, 134, 190)
	L = (1, 116)(2, 120)(3, 124)(4, 126)(5, 127)(6, 113)(7, 131)(8, 133)(9, 134)(10, 114)(11, 138)(12, 140)(13, 115)(14, 118)(15, 141)(16, 142)(17, 117)(18, 146)(19, 148)(20, 119)(21, 122)(22, 149)(23, 150)(24, 121)(25, 154)(26, 156)(27, 123)(28, 125)(29, 129)(30, 157)(31, 158)(32, 128)(33, 162)(34, 164)(35, 130)(36, 132)(37, 136)(38, 165)(39, 166)(40, 135)(41, 160)(42, 159)(43, 137)(44, 139)(45, 144)(46, 153)(47, 155)(48, 143)(49, 168)(50, 167)(51, 145)(52, 147)(53, 152)(54, 161)(55, 163)(56, 151)(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, 56, 4, 56 ), ( 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.858
Graph:: simple bipartite
	v = 32 e = 112 f = 30
	degree seq :: [ 4^28, 28^4 ]

E26.850 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 14, 28})
Quotient :: dipole
Aut^+ = D56 (small group id <56, 5>)
Aut   = C2 x D56 (small group id <112, 29>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2^-1 * Y1)^2, Y2^14 ]
Map:: non-degenerate
	R = (1, 57, 2, 58)(3, 59, 9, 65)(4, 60, 10, 66)(5, 61, 7, 63)(6, 62, 8, 64)(11, 67, 17, 73)(12, 68, 18, 74)(13, 69, 15, 71)(14, 70, 16, 72)(19, 75, 25, 81)(20, 76, 26, 82)(21, 77, 23, 79)(22, 78, 24, 80)(27, 83, 33, 89)(28, 84, 34, 90)(29, 85, 31, 87)(30, 86, 32, 88)(35, 91, 41, 97)(36, 92, 42, 98)(37, 93, 39, 95)(38, 94, 40, 96)(43, 99, 49, 105)(44, 100, 50, 106)(45, 101, 47, 103)(46, 102, 48, 104)(51, 107, 54, 110)(52, 108, 56, 112)(53, 109, 55, 111)(113, 169, 115, 171, 123, 179, 131, 187, 139, 195, 147, 203, 155, 211, 163, 219, 157, 213, 149, 205, 141, 197, 133, 189, 125, 181, 117, 173)(114, 170, 119, 175, 127, 183, 135, 191, 143, 199, 151, 207, 159, 215, 166, 222, 161, 217, 153, 209, 145, 201, 137, 193, 129, 185, 121, 177)(116, 172, 124, 180, 132, 188, 140, 196, 148, 204, 156, 212, 164, 220, 165, 221, 158, 214, 150, 206, 142, 198, 134, 190, 126, 182, 118, 174)(120, 176, 128, 184, 136, 192, 144, 200, 152, 208, 160, 216, 167, 223, 168, 224, 162, 218, 154, 210, 146, 202, 138, 194, 130, 186, 122, 178)
	L = (1, 116)(2, 120)(3, 124)(4, 115)(5, 118)(6, 113)(7, 128)(8, 119)(9, 122)(10, 114)(11, 132)(12, 123)(13, 126)(14, 117)(15, 136)(16, 127)(17, 130)(18, 121)(19, 140)(20, 131)(21, 134)(22, 125)(23, 144)(24, 135)(25, 138)(26, 129)(27, 148)(28, 139)(29, 142)(30, 133)(31, 152)(32, 143)(33, 146)(34, 137)(35, 156)(36, 147)(37, 150)(38, 141)(39, 160)(40, 151)(41, 154)(42, 145)(43, 164)(44, 155)(45, 158)(46, 149)(47, 167)(48, 159)(49, 162)(50, 153)(51, 165)(52, 163)(53, 157)(54, 168)(55, 166)(56, 161)(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, 56, 4, 56 ), ( 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.859
Graph:: simple bipartite
	v = 32 e = 112 f = 30
	degree seq :: [ 4^28, 28^4 ]

E26.851 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 14, 28})
Quotient :: dipole
Aut^+ = D56 (small group id <56, 5>)
Aut   = C2 x D56 (small group id <112, 29>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, (Y2 * Y1)^2, Y2^14, (Y3 * Y2^-1)^28 ]
Map:: non-degenerate
	R = (1, 57, 2, 58)(3, 59, 9, 65)(4, 60, 10, 66)(5, 61, 7, 63)(6, 62, 8, 64)(11, 67, 18, 74)(12, 68, 17, 73)(13, 69, 16, 72)(14, 70, 15, 71)(19, 75, 26, 82)(20, 76, 25, 81)(21, 77, 24, 80)(22, 78, 23, 79)(27, 83, 34, 90)(28, 84, 33, 89)(29, 85, 32, 88)(30, 86, 31, 87)(35, 91, 42, 98)(36, 92, 41, 97)(37, 93, 40, 96)(38, 94, 39, 95)(43, 99, 50, 106)(44, 100, 49, 105)(45, 101, 48, 104)(46, 102, 47, 103)(51, 107, 54, 110)(52, 108, 56, 112)(53, 109, 55, 111)(113, 169, 115, 171, 123, 179, 131, 187, 139, 195, 147, 203, 155, 211, 163, 219, 158, 214, 150, 206, 142, 198, 134, 190, 126, 182, 117, 173)(114, 170, 119, 175, 127, 183, 135, 191, 143, 199, 151, 207, 159, 215, 166, 222, 162, 218, 154, 210, 146, 202, 138, 194, 130, 186, 121, 177)(116, 172, 118, 174, 124, 180, 132, 188, 140, 196, 148, 204, 156, 212, 164, 220, 165, 221, 157, 213, 149, 205, 141, 197, 133, 189, 125, 181)(120, 176, 122, 178, 128, 184, 136, 192, 144, 200, 152, 208, 160, 216, 167, 223, 168, 224, 161, 217, 153, 209, 145, 201, 137, 193, 129, 185)
	L = (1, 116)(2, 120)(3, 118)(4, 117)(5, 125)(6, 113)(7, 122)(8, 121)(9, 129)(10, 114)(11, 124)(12, 115)(13, 126)(14, 133)(15, 128)(16, 119)(17, 130)(18, 137)(19, 132)(20, 123)(21, 134)(22, 141)(23, 136)(24, 127)(25, 138)(26, 145)(27, 140)(28, 131)(29, 142)(30, 149)(31, 144)(32, 135)(33, 146)(34, 153)(35, 148)(36, 139)(37, 150)(38, 157)(39, 152)(40, 143)(41, 154)(42, 161)(43, 156)(44, 147)(45, 158)(46, 165)(47, 160)(48, 151)(49, 162)(50, 168)(51, 164)(52, 155)(53, 163)(54, 167)(55, 159)(56, 166)(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, 56, 4, 56 ), ( 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.860
Graph:: simple bipartite
	v = 32 e = 112 f = 30
	degree seq :: [ 4^28, 28^4 ]

E26.852 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 14, 28})
Quotient :: dipole
Aut^+ = D56 (small group id <56, 5>)
Aut   = C2 x D56 (small group id <112, 29>)
|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^-8 * Y2^-2, Y2^2 * Y3^8, Y3 * Y2 * Y3^7 * Y2 ]
Map:: non-degenerate
	R = (1, 57, 2, 58)(3, 59, 9, 65)(4, 60, 10, 66)(5, 61, 7, 63)(6, 62, 8, 64)(11, 67, 24, 80)(12, 68, 25, 81)(13, 69, 23, 79)(14, 70, 26, 82)(15, 71, 21, 77)(16, 72, 19, 75)(17, 73, 20, 76)(18, 74, 22, 78)(27, 83, 36, 92)(28, 84, 37, 93)(29, 85, 38, 94)(30, 86, 33, 89)(31, 87, 34, 90)(32, 88, 35, 91)(39, 95, 48, 104)(40, 96, 49, 105)(41, 97, 50, 106)(42, 98, 45, 101)(43, 99, 46, 102)(44, 100, 47, 103)(51, 107, 56, 112)(52, 108, 55, 111)(53, 109, 54, 110)(113, 169, 115, 171, 123, 179, 126, 182, 140, 196, 151, 207, 153, 209, 164, 220, 156, 212, 154, 210, 143, 199, 130, 186, 128, 184, 117, 173)(114, 170, 119, 175, 131, 187, 134, 190, 146, 202, 157, 213, 159, 215, 167, 223, 162, 218, 160, 216, 149, 205, 138, 194, 136, 192, 121, 177)(116, 172, 124, 180, 139, 195, 141, 197, 152, 208, 163, 219, 165, 221, 155, 211, 144, 200, 142, 198, 129, 185, 118, 174, 125, 181, 127, 183)(120, 176, 132, 188, 145, 201, 147, 203, 158, 214, 166, 222, 168, 224, 161, 217, 150, 206, 148, 204, 137, 193, 122, 178, 133, 189, 135, 191)
	L = (1, 116)(2, 120)(3, 124)(4, 126)(5, 127)(6, 113)(7, 132)(8, 134)(9, 135)(10, 114)(11, 139)(12, 140)(13, 115)(14, 141)(15, 123)(16, 125)(17, 117)(18, 118)(19, 145)(20, 146)(21, 119)(22, 147)(23, 131)(24, 133)(25, 121)(26, 122)(27, 151)(28, 152)(29, 153)(30, 128)(31, 129)(32, 130)(33, 157)(34, 158)(35, 159)(36, 136)(37, 137)(38, 138)(39, 163)(40, 164)(41, 165)(42, 142)(43, 143)(44, 144)(45, 166)(46, 167)(47, 168)(48, 148)(49, 149)(50, 150)(51, 156)(52, 155)(53, 154)(54, 162)(55, 161)(56, 160)(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, 56, 4, 56 ), ( 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.862
Graph:: simple bipartite
	v = 32 e = 112 f = 30
	degree seq :: [ 4^28, 28^4 ]

E26.853 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 14, 28})
Quotient :: dipole
Aut^+ = D56 (small group id <56, 5>)
Aut   = C2 x D56 (small group id <112, 29>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2), (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^2, Y2 * Y3^-1 * Y2 * Y3^-7, 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 ]
Map:: non-degenerate
	R = (1, 57, 2, 58)(3, 59, 9, 65)(4, 60, 10, 66)(5, 61, 7, 63)(6, 62, 8, 64)(11, 67, 24, 80)(12, 68, 25, 81)(13, 69, 23, 79)(14, 70, 26, 82)(15, 71, 21, 77)(16, 72, 19, 75)(17, 73, 20, 76)(18, 74, 22, 78)(27, 83, 37, 93)(28, 84, 36, 92)(29, 85, 38, 94)(30, 86, 34, 90)(31, 87, 33, 89)(32, 88, 35, 91)(39, 95, 49, 105)(40, 96, 48, 104)(41, 97, 50, 106)(42, 98, 46, 102)(43, 99, 45, 101)(44, 100, 47, 103)(51, 107, 56, 112)(52, 108, 55, 111)(53, 109, 54, 110)(113, 169, 115, 171, 123, 179, 130, 186, 140, 196, 151, 207, 156, 212, 164, 220, 153, 209, 155, 211, 142, 198, 126, 182, 128, 184, 117, 173)(114, 170, 119, 175, 131, 187, 138, 194, 146, 202, 157, 213, 162, 218, 167, 223, 159, 215, 161, 217, 148, 204, 134, 190, 136, 192, 121, 177)(116, 172, 124, 180, 129, 185, 118, 174, 125, 181, 139, 195, 144, 200, 152, 208, 163, 219, 165, 221, 154, 210, 141, 197, 143, 199, 127, 183)(120, 176, 132, 188, 137, 193, 122, 178, 133, 189, 145, 201, 150, 206, 158, 214, 166, 222, 168, 224, 160, 216, 147, 203, 149, 205, 135, 191)
	L = (1, 116)(2, 120)(3, 124)(4, 126)(5, 127)(6, 113)(7, 132)(8, 134)(9, 135)(10, 114)(11, 129)(12, 128)(13, 115)(14, 141)(15, 142)(16, 143)(17, 117)(18, 118)(19, 137)(20, 136)(21, 119)(22, 147)(23, 148)(24, 149)(25, 121)(26, 122)(27, 123)(28, 125)(29, 153)(30, 154)(31, 155)(32, 130)(33, 131)(34, 133)(35, 159)(36, 160)(37, 161)(38, 138)(39, 139)(40, 140)(41, 163)(42, 164)(43, 165)(44, 144)(45, 145)(46, 146)(47, 166)(48, 167)(49, 168)(50, 150)(51, 151)(52, 152)(53, 156)(54, 157)(55, 158)(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) :: { ( 4, 56, 4, 56 ), ( 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.863
Graph:: simple bipartite
	v = 32 e = 112 f = 30
	degree seq :: [ 4^28, 28^4 ]

E26.854 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 14, 28})
Quotient :: dipole
Aut^+ = D56 (small group id <56, 5>)
Aut   = C2 x D56 (small group id <112, 29>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, (Y2, Y3^-1), (R * Y3)^2, (Y2^-1 * Y1)^2, Y3^-1 * Y2^4 * Y3^-1 * Y2, Y3^2 * Y2^-1 * Y3^4, Y2^-1 * Y3^-2 * Y2^2 * Y3^2 * Y2^-1, Y2^-1 * Y3^-1 * Y2^-2 * Y3^-3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 57, 2, 58)(3, 59, 9, 65)(4, 60, 10, 66)(5, 61, 7, 63)(6, 62, 8, 64)(11, 67, 24, 80)(12, 68, 25, 81)(13, 69, 23, 79)(14, 70, 26, 82)(15, 71, 21, 77)(16, 72, 19, 75)(17, 73, 20, 76)(18, 74, 22, 78)(27, 83, 47, 103)(28, 84, 48, 104)(29, 85, 46, 102)(30, 86, 49, 105)(31, 87, 45, 101)(32, 88, 50, 106)(33, 89, 43, 99)(34, 90, 41, 97)(35, 91, 39, 95)(36, 92, 40, 96)(37, 93, 42, 98)(38, 94, 44, 100)(51, 107, 56, 112)(52, 108, 55, 111)(53, 109, 54, 110)(113, 169, 115, 171, 123, 179, 139, 195, 145, 201, 126, 182, 142, 198, 164, 220, 149, 205, 130, 186, 143, 199, 147, 203, 128, 184, 117, 173)(114, 170, 119, 175, 131, 187, 151, 207, 157, 213, 134, 190, 154, 210, 167, 223, 161, 217, 138, 194, 155, 211, 159, 215, 136, 192, 121, 177)(116, 172, 124, 180, 140, 196, 163, 219, 150, 206, 144, 200, 165, 221, 148, 204, 129, 185, 118, 174, 125, 181, 141, 197, 146, 202, 127, 183)(120, 176, 132, 188, 152, 208, 166, 222, 162, 218, 156, 212, 168, 224, 160, 216, 137, 193, 122, 178, 133, 189, 153, 209, 158, 214, 135, 191)
	L = (1, 116)(2, 120)(3, 124)(4, 126)(5, 127)(6, 113)(7, 132)(8, 134)(9, 135)(10, 114)(11, 140)(12, 142)(13, 115)(14, 144)(15, 145)(16, 146)(17, 117)(18, 118)(19, 152)(20, 154)(21, 119)(22, 156)(23, 157)(24, 158)(25, 121)(26, 122)(27, 163)(28, 164)(29, 123)(30, 165)(31, 125)(32, 143)(33, 150)(34, 139)(35, 141)(36, 128)(37, 129)(38, 130)(39, 166)(40, 167)(41, 131)(42, 168)(43, 133)(44, 155)(45, 162)(46, 151)(47, 153)(48, 136)(49, 137)(50, 138)(51, 149)(52, 148)(53, 147)(54, 161)(55, 160)(56, 159)(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, 56, 4, 56 ), ( 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.861
Graph:: simple bipartite
	v = 32 e = 112 f = 30
	degree seq :: [ 4^28, 28^4 ]

E26.855 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 14, 28})
Quotient :: dipole
Aut^+ = C7 x D8 (small group id <56, 9>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, (R * Y2)^2, Y2^-1 * Y1 * Y2 * Y1, Y3^2 * Y2^7 ]
Map:: non-degenerate
	R = (1, 57, 2, 58)(3, 59, 7, 63)(4, 60, 10, 66)(5, 61, 9, 65)(6, 62, 8, 64)(11, 67, 18, 74)(12, 68, 20, 76)(13, 69, 19, 75)(14, 70, 21, 77)(15, 71, 24, 80)(16, 72, 23, 79)(17, 73, 22, 78)(25, 81, 33, 89)(26, 82, 35, 91)(27, 83, 34, 90)(28, 84, 36, 92)(29, 85, 37, 93)(30, 86, 40, 96)(31, 87, 39, 95)(32, 88, 38, 94)(41, 97, 49, 105)(42, 98, 51, 107)(43, 99, 50, 106)(44, 100, 52, 108)(45, 101, 53, 109)(46, 102, 56, 112)(47, 103, 55, 111)(48, 104, 54, 110)(113, 169, 115, 171, 123, 179, 137, 193, 153, 209, 157, 213, 141, 197, 126, 182, 140, 196, 156, 212, 159, 215, 143, 199, 128, 184, 117, 173)(114, 170, 119, 175, 130, 186, 145, 201, 161, 217, 165, 221, 149, 205, 133, 189, 148, 204, 164, 220, 167, 223, 151, 207, 135, 191, 121, 177)(116, 172, 124, 180, 138, 194, 154, 210, 160, 216, 144, 200, 129, 185, 118, 174, 125, 181, 139, 195, 155, 211, 158, 214, 142, 198, 127, 183)(120, 176, 131, 187, 146, 202, 162, 218, 168, 224, 152, 208, 136, 192, 122, 178, 132, 188, 147, 203, 163, 219, 166, 222, 150, 206, 134, 190)
	L = (1, 116)(2, 120)(3, 124)(4, 126)(5, 127)(6, 113)(7, 131)(8, 133)(9, 134)(10, 114)(11, 138)(12, 140)(13, 115)(14, 118)(15, 141)(16, 142)(17, 117)(18, 146)(19, 148)(20, 119)(21, 122)(22, 149)(23, 150)(24, 121)(25, 154)(26, 156)(27, 123)(28, 125)(29, 129)(30, 157)(31, 158)(32, 128)(33, 162)(34, 164)(35, 130)(36, 132)(37, 136)(38, 165)(39, 166)(40, 135)(41, 160)(42, 159)(43, 137)(44, 139)(45, 144)(46, 153)(47, 155)(48, 143)(49, 168)(50, 167)(51, 145)(52, 147)(53, 152)(54, 161)(55, 163)(56, 151)(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, 56, 4, 56 ), ( 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.866
Graph:: simple bipartite
	v = 32 e = 112 f = 30
	degree seq :: [ 4^28, 28^4 ]

E26.856 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 14, 28})
Quotient :: dipole
Aut^+ = C7 x D8 (small group id <56, 9>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, Y2^-1 * Y1 * Y3 * Y2 * Y3, R * Y2 * R * Y1 * Y2, Y2^14 ]
Map:: non-degenerate
	R = (1, 57, 2, 58)(3, 59, 6, 62)(4, 60, 7, 63)(5, 61, 8, 64)(9, 65, 15, 71)(10, 66, 11, 67)(12, 68, 13, 69)(14, 70, 16, 72)(17, 73, 23, 79)(18, 74, 19, 75)(20, 76, 21, 77)(22, 78, 24, 80)(25, 81, 31, 87)(26, 82, 27, 83)(28, 84, 29, 85)(30, 86, 32, 88)(33, 89, 39, 95)(34, 90, 35, 91)(36, 92, 37, 93)(38, 94, 40, 96)(41, 97, 47, 103)(42, 98, 43, 99)(44, 100, 45, 101)(46, 102, 48, 104)(49, 105, 54, 110)(50, 106, 51, 107)(52, 108, 53, 109)(55, 111, 56, 112)(113, 169, 115, 171, 121, 177, 129, 185, 137, 193, 145, 201, 153, 209, 161, 217, 158, 214, 150, 206, 142, 198, 134, 190, 126, 182, 117, 173)(114, 170, 118, 174, 127, 183, 135, 191, 143, 199, 151, 207, 159, 215, 166, 222, 160, 216, 152, 208, 144, 200, 136, 192, 128, 184, 120, 176)(116, 172, 123, 179, 130, 186, 139, 195, 146, 202, 155, 211, 162, 218, 168, 224, 164, 220, 156, 212, 148, 204, 140, 196, 132, 188, 124, 180)(119, 175, 122, 178, 131, 187, 138, 194, 147, 203, 154, 210, 163, 219, 167, 223, 165, 221, 157, 213, 149, 205, 141, 197, 133, 189, 125, 181)
	L = (1, 116)(2, 119)(3, 122)(4, 113)(5, 125)(6, 123)(7, 114)(8, 124)(9, 130)(10, 115)(11, 118)(12, 120)(13, 117)(14, 132)(15, 131)(16, 133)(17, 138)(18, 121)(19, 127)(20, 126)(21, 128)(22, 141)(23, 139)(24, 140)(25, 146)(26, 129)(27, 135)(28, 136)(29, 134)(30, 148)(31, 147)(32, 149)(33, 154)(34, 137)(35, 143)(36, 142)(37, 144)(38, 157)(39, 155)(40, 156)(41, 162)(42, 145)(43, 151)(44, 152)(45, 150)(46, 164)(47, 163)(48, 165)(49, 167)(50, 153)(51, 159)(52, 158)(53, 160)(54, 168)(55, 161)(56, 166)(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, 56, 4, 56 ), ( 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.865
Graph:: simple bipartite
	v = 32 e = 112 f = 30
	degree seq :: [ 4^28, 28^4 ]

E26.857 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 14, 28})
Quotient :: dipole
Aut^+ = C7 x D8 (small group id <56, 9>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^2, Y2^-1 * Y3 * Y2 * Y1, Y2 * Y3 * Y2^-1 * Y1, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, Y2^14, (Y2^-1 * Y1)^28 ]
Map:: non-degenerate
	R = (1, 57, 2, 58)(3, 59, 9, 65)(4, 60, 7, 63)(5, 61, 11, 67)(6, 62, 13, 69)(8, 64, 15, 71)(10, 66, 14, 70)(12, 68, 16, 72)(17, 73, 21, 77)(18, 74, 25, 81)(19, 75, 23, 79)(20, 76, 27, 83)(22, 78, 29, 85)(24, 80, 31, 87)(26, 82, 30, 86)(28, 84, 32, 88)(33, 89, 37, 93)(34, 90, 41, 97)(35, 91, 39, 95)(36, 92, 43, 99)(38, 94, 45, 101)(40, 96, 47, 103)(42, 98, 46, 102)(44, 100, 48, 104)(49, 105, 52, 108)(50, 106, 55, 111)(51, 107, 54, 110)(53, 109, 56, 112)(113, 169, 115, 171, 122, 178, 130, 186, 138, 194, 146, 202, 154, 210, 162, 218, 156, 212, 148, 204, 140, 196, 132, 188, 124, 180, 117, 173)(114, 170, 118, 174, 126, 182, 134, 190, 142, 198, 150, 206, 158, 214, 165, 221, 160, 216, 152, 208, 144, 200, 136, 192, 128, 184, 120, 176)(116, 172, 121, 177, 129, 185, 137, 193, 145, 201, 153, 209, 161, 217, 167, 223, 163, 219, 155, 211, 147, 203, 139, 195, 131, 187, 123, 179)(119, 175, 125, 181, 133, 189, 141, 197, 149, 205, 157, 213, 164, 220, 168, 224, 166, 222, 159, 215, 151, 207, 143, 199, 135, 191, 127, 183)
	L = (1, 116)(2, 119)(3, 118)(4, 113)(5, 120)(6, 115)(7, 114)(8, 117)(9, 125)(10, 129)(11, 127)(12, 131)(13, 121)(14, 133)(15, 123)(16, 135)(17, 122)(18, 134)(19, 124)(20, 136)(21, 126)(22, 130)(23, 128)(24, 132)(25, 141)(26, 145)(27, 143)(28, 147)(29, 137)(30, 149)(31, 139)(32, 151)(33, 138)(34, 150)(35, 140)(36, 152)(37, 142)(38, 146)(39, 144)(40, 148)(41, 157)(42, 161)(43, 159)(44, 163)(45, 153)(46, 164)(47, 155)(48, 166)(49, 154)(50, 165)(51, 156)(52, 158)(53, 162)(54, 160)(55, 168)(56, 167)(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, 56, 4, 56 ), ( 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.864
Graph:: simple bipartite
	v = 32 e = 112 f = 30
	degree seq :: [ 4^28, 28^4 ]

E26.858 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 14, 28})
Quotient :: dipole
Aut^+ = D56 (small group id <56, 5>)
Aut   = C2 x D56 (small group id <112, 29>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (Y2 * Y1^-1)^2, (Y3, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y3^4, (Y3 * Y1 * Y2)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y1^-2 * Y3 * Y1 * Y3 * Y1, Y3^-1 * Y1^-7 ]
Map:: non-degenerate
	R = (1, 57, 2, 58, 7, 63, 18, 74, 33, 89, 32, 88, 17, 73, 6, 62, 10, 66, 21, 77, 36, 92, 48, 104, 45, 101, 29, 85, 14, 70, 24, 80, 39, 95, 51, 107, 46, 102, 30, 86, 15, 71, 4, 60, 9, 65, 20, 76, 35, 91, 31, 87, 16, 72, 5, 61)(3, 59, 11, 67, 25, 81, 41, 97, 50, 106, 38, 94, 23, 79, 13, 69, 27, 83, 43, 99, 53, 109, 56, 112, 52, 108, 40, 96, 28, 84, 44, 100, 54, 110, 55, 111, 49, 105, 37, 93, 22, 78, 12, 68, 26, 82, 42, 98, 47, 103, 34, 90, 19, 75, 8, 64)(113, 169, 115, 171)(114, 170, 120, 176)(116, 172, 125, 181)(117, 173, 123, 179)(118, 174, 124, 180)(119, 175, 131, 187)(121, 177, 135, 191)(122, 178, 134, 190)(126, 182, 140, 196)(127, 183, 139, 195)(128, 184, 137, 193)(129, 185, 138, 194)(130, 186, 146, 202)(132, 188, 150, 206)(133, 189, 149, 205)(136, 192, 152, 208)(141, 197, 156, 212)(142, 198, 155, 211)(143, 199, 153, 209)(144, 200, 154, 210)(145, 201, 159, 215)(147, 203, 162, 218)(148, 204, 161, 217)(151, 207, 164, 220)(157, 213, 166, 222)(158, 214, 165, 221)(160, 216, 167, 223)(163, 219, 168, 224)
	L = (1, 116)(2, 121)(3, 124)(4, 126)(5, 127)(6, 113)(7, 132)(8, 134)(9, 136)(10, 114)(11, 138)(12, 140)(13, 115)(14, 118)(15, 141)(16, 142)(17, 117)(18, 147)(19, 149)(20, 151)(21, 119)(22, 152)(23, 120)(24, 122)(25, 154)(26, 156)(27, 123)(28, 125)(29, 129)(30, 157)(31, 158)(32, 128)(33, 143)(34, 161)(35, 163)(36, 130)(37, 164)(38, 131)(39, 133)(40, 135)(41, 159)(42, 166)(43, 137)(44, 139)(45, 144)(46, 160)(47, 167)(48, 145)(49, 168)(50, 146)(51, 148)(52, 150)(53, 153)(54, 155)(55, 165)(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) :: { ( 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, 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, 4, 28, 4, 28 ) }
Outer automorphisms :: reflexible
Dual of E26.849
Graph:: bipartite
	v = 30 e = 112 f = 32
	degree seq :: [ 4^28, 56^2 ]

E26.859 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 14, 28})
Quotient :: dipole
Aut^+ = D56 (small group id <56, 5>)
Aut   = C2 x D56 (small group id <112, 29>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-1 * Y1, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^14, Y1^28 ]
Map:: non-degenerate
	R = (1, 57, 2, 58, 5, 61, 9, 65, 13, 69, 17, 73, 21, 77, 25, 81, 31, 87, 33, 89, 35, 91, 37, 93, 39, 95, 41, 97, 44, 100, 56, 112, 54, 110, 52, 108, 50, 106, 48, 104, 46, 102, 28, 84, 24, 80, 20, 76, 16, 72, 12, 68, 8, 64, 4, 60)(3, 59, 7, 63, 11, 67, 15, 71, 19, 75, 23, 79, 27, 83, 30, 86, 29, 85, 32, 88, 34, 90, 36, 92, 38, 94, 40, 96, 42, 98, 45, 101, 55, 111, 53, 109, 51, 107, 49, 105, 47, 103, 43, 99, 26, 82, 22, 78, 18, 74, 14, 70, 10, 66, 6, 62)(113, 169, 115, 171)(114, 170, 118, 174)(116, 172, 119, 175)(117, 173, 122, 178)(120, 176, 123, 179)(121, 177, 126, 182)(124, 180, 127, 183)(125, 181, 130, 186)(128, 184, 131, 187)(129, 185, 134, 190)(132, 188, 135, 191)(133, 189, 138, 194)(136, 192, 139, 195)(137, 193, 155, 211)(140, 196, 142, 198)(141, 197, 158, 214)(143, 199, 159, 215)(144, 200, 160, 216)(145, 201, 161, 217)(146, 202, 162, 218)(147, 203, 163, 219)(148, 204, 164, 220)(149, 205, 165, 221)(150, 206, 166, 222)(151, 207, 167, 223)(152, 208, 168, 224)(153, 209, 157, 213)(154, 210, 156, 212)
	L = (1, 114)(2, 117)(3, 119)(4, 113)(5, 121)(6, 115)(7, 123)(8, 116)(9, 125)(10, 118)(11, 127)(12, 120)(13, 129)(14, 122)(15, 131)(16, 124)(17, 133)(18, 126)(19, 135)(20, 128)(21, 137)(22, 130)(23, 139)(24, 132)(25, 143)(26, 134)(27, 142)(28, 136)(29, 144)(30, 141)(31, 145)(32, 146)(33, 147)(34, 148)(35, 149)(36, 150)(37, 151)(38, 152)(39, 153)(40, 154)(41, 156)(42, 157)(43, 138)(44, 168)(45, 167)(46, 140)(47, 155)(48, 158)(49, 159)(50, 160)(51, 161)(52, 162)(53, 163)(54, 164)(55, 165)(56, 166)(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, 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, 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, 4, 28, 4, 28 ) }
Outer automorphisms :: reflexible
Dual of E26.850
Graph:: bipartite
	v = 30 e = 112 f = 32
	degree seq :: [ 4^28, 56^2 ]

E26.860 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 14, 28})
Quotient :: dipole
Aut^+ = D56 (small group id <56, 5>)
Aut   = C2 x D56 (small group id <112, 29>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^3 * Y1, (Y3 * Y2)^2, (Y2 * Y1^-1)^2, (Y3, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^-8 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 57, 2, 58, 7, 63, 17, 73, 29, 85, 41, 97, 39, 95, 27, 83, 15, 71, 4, 60, 9, 65, 19, 75, 31, 87, 43, 99, 52, 108, 50, 106, 38, 94, 26, 82, 14, 70, 6, 62, 10, 66, 20, 76, 32, 88, 44, 100, 40, 96, 28, 84, 16, 72, 5, 61)(3, 59, 11, 67, 23, 79, 35, 91, 47, 103, 53, 109, 45, 101, 33, 89, 21, 77, 12, 68, 24, 80, 36, 92, 48, 104, 55, 111, 56, 112, 54, 110, 46, 102, 34, 90, 22, 78, 13, 69, 25, 81, 37, 93, 49, 105, 51, 107, 42, 98, 30, 86, 18, 74, 8, 64)(113, 169, 115, 171)(114, 170, 120, 176)(116, 172, 125, 181)(117, 173, 123, 179)(118, 174, 124, 180)(119, 175, 130, 186)(121, 177, 134, 190)(122, 178, 133, 189)(126, 182, 136, 192)(127, 183, 137, 193)(128, 184, 135, 191)(129, 185, 142, 198)(131, 187, 146, 202)(132, 188, 145, 201)(138, 194, 148, 204)(139, 195, 149, 205)(140, 196, 147, 203)(141, 197, 154, 210)(143, 199, 158, 214)(144, 200, 157, 213)(150, 206, 160, 216)(151, 207, 161, 217)(152, 208, 159, 215)(153, 209, 163, 219)(155, 211, 166, 222)(156, 212, 165, 221)(162, 218, 167, 223)(164, 220, 168, 224)
	L = (1, 116)(2, 121)(3, 124)(4, 126)(5, 127)(6, 113)(7, 131)(8, 133)(9, 118)(10, 114)(11, 136)(12, 134)(13, 115)(14, 117)(15, 138)(16, 139)(17, 143)(18, 145)(19, 122)(20, 119)(21, 146)(22, 120)(23, 148)(24, 125)(25, 123)(26, 128)(27, 150)(28, 151)(29, 155)(30, 157)(31, 132)(32, 129)(33, 158)(34, 130)(35, 160)(36, 137)(37, 135)(38, 140)(39, 162)(40, 153)(41, 164)(42, 165)(43, 144)(44, 141)(45, 166)(46, 142)(47, 167)(48, 149)(49, 147)(50, 152)(51, 159)(52, 156)(53, 168)(54, 154)(55, 161)(56, 163)(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, 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, 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, 4, 28, 4, 28 ) }
Outer automorphisms :: reflexible
Dual of E26.851
Graph:: bipartite
	v = 30 e = 112 f = 32
	degree seq :: [ 4^28, 56^2 ]

E26.861 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 14, 28})
Quotient :: dipole
Aut^+ = D56 (small group id <56, 5>)
Aut   = C2 x D56 (small group id <112, 29>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (Y3, Y1^-1), (Y2 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2 * Y1)^2, Y3 * Y1^-1 * Y3^4, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-1 * Y3^-2 * 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 * Y1^3 ]
Map:: non-degenerate
	R = (1, 57, 2, 58, 7, 63, 19, 75, 37, 93, 32, 88, 14, 70, 25, 81, 43, 99, 35, 91, 17, 73, 6, 62, 10, 66, 22, 78, 40, 96, 33, 89, 15, 71, 4, 60, 9, 65, 21, 77, 39, 95, 36, 92, 18, 74, 26, 82, 44, 100, 34, 90, 16, 72, 5, 61)(3, 59, 11, 67, 27, 83, 47, 103, 55, 111, 45, 101, 30, 86, 50, 106, 54, 110, 42, 98, 24, 80, 13, 69, 29, 85, 49, 105, 53, 109, 41, 97, 23, 79, 12, 68, 28, 84, 48, 104, 56, 112, 46, 102, 31, 87, 51, 107, 52, 108, 38, 94, 20, 76, 8, 64)(113, 169, 115, 171)(114, 170, 120, 176)(116, 172, 125, 181)(117, 173, 123, 179)(118, 174, 124, 180)(119, 175, 132, 188)(121, 177, 136, 192)(122, 178, 135, 191)(126, 182, 143, 199)(127, 183, 141, 197)(128, 184, 139, 195)(129, 185, 140, 196)(130, 186, 142, 198)(131, 187, 150, 206)(133, 189, 154, 210)(134, 190, 153, 209)(137, 193, 158, 214)(138, 194, 157, 213)(144, 200, 163, 219)(145, 201, 161, 217)(146, 202, 159, 215)(147, 203, 160, 216)(148, 204, 162, 218)(149, 205, 164, 220)(151, 207, 166, 222)(152, 208, 165, 221)(155, 211, 168, 224)(156, 212, 167, 223)
	L = (1, 116)(2, 121)(3, 124)(4, 126)(5, 127)(6, 113)(7, 133)(8, 135)(9, 137)(10, 114)(11, 140)(12, 142)(13, 115)(14, 138)(15, 144)(16, 145)(17, 117)(18, 118)(19, 151)(20, 153)(21, 155)(22, 119)(23, 157)(24, 120)(25, 156)(26, 122)(27, 160)(28, 162)(29, 123)(30, 163)(31, 125)(32, 130)(33, 149)(34, 152)(35, 128)(36, 129)(37, 148)(38, 165)(39, 147)(40, 131)(41, 167)(42, 132)(43, 146)(44, 134)(45, 143)(46, 136)(47, 168)(48, 166)(49, 139)(50, 164)(51, 141)(52, 161)(53, 159)(54, 150)(55, 158)(56, 154)(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, 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, 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, 4, 28, 4, 28 ) }
Outer automorphisms :: reflexible
Dual of E26.854
Graph:: bipartite
	v = 30 e = 112 f = 32
	degree seq :: [ 4^28, 56^2 ]

E26.862 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 14, 28})
Quotient :: dipole
Aut^+ = D56 (small group id <56, 5>)
Aut   = C2 x D56 (small group id <112, 29>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-1 * Y1^-3, (Y3 * Y2)^2, (R * Y3)^2, (Y3, Y1^-1), (R * Y1)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-7 * Y1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 57, 2, 58, 7, 63, 6, 62, 10, 66, 18, 74, 16, 72, 22, 78, 30, 86, 28, 84, 34, 90, 42, 98, 40, 96, 46, 102, 52, 108, 50, 106, 38, 94, 45, 101, 39, 95, 26, 82, 33, 89, 27, 83, 14, 70, 21, 77, 15, 71, 4, 60, 9, 65, 5, 61)(3, 59, 11, 67, 20, 76, 13, 69, 23, 79, 32, 88, 25, 81, 35, 91, 44, 100, 37, 93, 47, 103, 54, 110, 49, 105, 55, 111, 56, 112, 53, 109, 48, 104, 51, 107, 43, 99, 36, 92, 41, 97, 31, 87, 24, 80, 29, 85, 19, 75, 12, 68, 17, 73, 8, 64)(113, 169, 115, 171)(114, 170, 120, 176)(116, 172, 125, 181)(117, 173, 123, 179)(118, 174, 124, 180)(119, 175, 129, 185)(121, 177, 132, 188)(122, 178, 131, 187)(126, 182, 137, 193)(127, 183, 135, 191)(128, 184, 136, 192)(130, 186, 141, 197)(133, 189, 144, 200)(134, 190, 143, 199)(138, 194, 149, 205)(139, 195, 147, 203)(140, 196, 148, 204)(142, 198, 153, 209)(145, 201, 156, 212)(146, 202, 155, 211)(150, 206, 161, 217)(151, 207, 159, 215)(152, 208, 160, 216)(154, 210, 163, 219)(157, 213, 166, 222)(158, 214, 165, 221)(162, 218, 167, 223)(164, 220, 168, 224)
	L = (1, 116)(2, 121)(3, 124)(4, 126)(5, 127)(6, 113)(7, 117)(8, 131)(9, 133)(10, 114)(11, 129)(12, 136)(13, 115)(14, 138)(15, 139)(16, 118)(17, 141)(18, 119)(19, 143)(20, 120)(21, 145)(22, 122)(23, 123)(24, 148)(25, 125)(26, 150)(27, 151)(28, 128)(29, 153)(30, 130)(31, 155)(32, 132)(33, 157)(34, 134)(35, 135)(36, 160)(37, 137)(38, 158)(39, 162)(40, 140)(41, 163)(42, 142)(43, 165)(44, 144)(45, 164)(46, 146)(47, 147)(48, 167)(49, 149)(50, 152)(51, 168)(52, 154)(53, 161)(54, 156)(55, 159)(56, 166)(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, 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, 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, 4, 28, 4, 28 ) }
Outer automorphisms :: reflexible
Dual of E26.852
Graph:: bipartite
	v = 30 e = 112 f = 32
	degree seq :: [ 4^28, 56^2 ]

E26.863 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 14, 28})
Quotient :: dipole
Aut^+ = D56 (small group id <56, 5>)
Aut   = C2 x D56 (small group id <112, 29>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1, Y1), (Y3 * Y2)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1^-5 * Y3, (R * Y2 * Y3^-1)^2, (Y2 * Y3^-1 * Y1)^2, Y1 * Y3 * Y1 * Y3^4 * Y1, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 57, 2, 58, 7, 63, 19, 75, 15, 71, 4, 60, 9, 65, 21, 77, 38, 94, 33, 89, 14, 70, 25, 81, 41, 97, 36, 92, 46, 102, 32, 88, 45, 101, 35, 91, 18, 74, 26, 82, 42, 98, 34, 90, 17, 73, 6, 62, 10, 66, 22, 78, 16, 72, 5, 61)(3, 59, 11, 67, 27, 83, 39, 95, 23, 79, 12, 68, 28, 84, 47, 103, 53, 109, 43, 99, 30, 86, 48, 104, 56, 112, 51, 107, 55, 111, 50, 106, 54, 110, 44, 100, 31, 87, 49, 105, 52, 108, 40, 96, 24, 80, 13, 69, 29, 85, 37, 93, 20, 76, 8, 64)(113, 169, 115, 171)(114, 170, 120, 176)(116, 172, 125, 181)(117, 173, 123, 179)(118, 174, 124, 180)(119, 175, 132, 188)(121, 177, 136, 192)(122, 178, 135, 191)(126, 182, 143, 199)(127, 183, 141, 197)(128, 184, 139, 195)(129, 185, 140, 196)(130, 186, 142, 198)(131, 187, 149, 205)(133, 189, 152, 208)(134, 190, 151, 207)(137, 193, 156, 212)(138, 194, 155, 211)(144, 200, 163, 219)(145, 201, 161, 217)(146, 202, 159, 215)(147, 203, 160, 216)(148, 204, 162, 218)(150, 206, 164, 220)(153, 209, 166, 222)(154, 210, 165, 221)(157, 213, 168, 224)(158, 214, 167, 223)
	L = (1, 116)(2, 121)(3, 124)(4, 126)(5, 127)(6, 113)(7, 133)(8, 135)(9, 137)(10, 114)(11, 140)(12, 142)(13, 115)(14, 144)(15, 145)(16, 131)(17, 117)(18, 118)(19, 150)(20, 151)(21, 153)(22, 119)(23, 155)(24, 120)(25, 157)(26, 122)(27, 159)(28, 160)(29, 123)(30, 162)(31, 125)(32, 154)(33, 158)(34, 128)(35, 129)(36, 130)(37, 139)(38, 148)(39, 165)(40, 132)(41, 147)(42, 134)(43, 167)(44, 136)(45, 146)(46, 138)(47, 168)(48, 166)(49, 141)(50, 164)(51, 143)(52, 149)(53, 163)(54, 152)(55, 161)(56, 156)(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, 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, 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, 4, 28, 4, 28 ) }
Outer automorphisms :: reflexible
Dual of E26.853
Graph:: bipartite
	v = 30 e = 112 f = 32
	degree seq :: [ 4^28, 56^2 ]

E26.864 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 14, 28})
Quotient :: dipole
Aut^+ = C7 x D8 (small group id <56, 9>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, Y1^-1 * Y2 * Y1 * Y2, Y2 * Y1 * Y3 * Y1^-1 * Y3, Y1^14 * Y2, (Y2 * Y1^-2)^7 ]
Map:: non-degenerate
	R = (1, 57, 2, 58, 6, 62, 15, 71, 23, 79, 31, 87, 39, 95, 47, 103, 51, 107, 43, 99, 35, 91, 27, 83, 19, 75, 10, 66, 3, 59, 7, 63, 16, 72, 24, 80, 32, 88, 40, 96, 48, 104, 54, 110, 46, 102, 38, 94, 30, 86, 22, 78, 14, 70, 5, 61)(4, 60, 11, 67, 17, 73, 26, 82, 33, 89, 42, 98, 49, 105, 56, 112, 53, 109, 45, 101, 37, 93, 29, 85, 21, 77, 13, 69, 9, 65, 8, 64, 18, 74, 25, 81, 34, 90, 41, 97, 50, 106, 55, 111, 52, 108, 44, 100, 36, 92, 28, 84, 20, 76, 12, 68)(113, 169, 115, 171)(114, 170, 119, 175)(116, 172, 121, 177)(117, 173, 122, 178)(118, 174, 128, 184)(120, 176, 123, 179)(124, 180, 125, 181)(126, 182, 131, 187)(127, 183, 136, 192)(129, 185, 130, 186)(132, 188, 133, 189)(134, 190, 139, 195)(135, 191, 144, 200)(137, 193, 138, 194)(140, 196, 141, 197)(142, 198, 147, 203)(143, 199, 152, 208)(145, 201, 146, 202)(148, 204, 149, 205)(150, 206, 155, 211)(151, 207, 160, 216)(153, 209, 154, 210)(156, 212, 157, 213)(158, 214, 163, 219)(159, 215, 166, 222)(161, 217, 162, 218)(164, 220, 165, 221)(167, 223, 168, 224)
	L = (1, 116)(2, 120)(3, 121)(4, 113)(5, 125)(6, 129)(7, 123)(8, 114)(9, 115)(10, 124)(11, 119)(12, 122)(13, 117)(14, 132)(15, 137)(16, 130)(17, 118)(18, 128)(19, 133)(20, 126)(21, 131)(22, 141)(23, 145)(24, 138)(25, 127)(26, 136)(27, 140)(28, 139)(29, 134)(30, 148)(31, 153)(32, 146)(33, 135)(34, 144)(35, 149)(36, 142)(37, 147)(38, 157)(39, 161)(40, 154)(41, 143)(42, 152)(43, 156)(44, 155)(45, 150)(46, 164)(47, 167)(48, 162)(49, 151)(50, 160)(51, 165)(52, 158)(53, 163)(54, 168)(55, 159)(56, 166)(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, 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, 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, 4, 28, 4, 28 ) }
Outer automorphisms :: reflexible
Dual of E26.857
Graph:: bipartite
	v = 30 e = 112 f = 32
	degree seq :: [ 4^28, 56^2 ]

E26.865 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 14, 28})
Quotient :: dipole
Aut^+ = C7 x D8 (small group id <56, 9>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, Y2 * Y1 * Y3 * Y1^-1, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, Y3 * Y1 * Y2 * Y1^-1, Y1^-1 * Y2 * Y3 * Y1^-13, (Y1^-1 * Y2)^14 ]
Map:: non-degenerate
	R = (1, 57, 2, 58, 6, 62, 13, 69, 21, 77, 29, 85, 37, 93, 45, 101, 53, 109, 49, 105, 41, 97, 33, 89, 25, 81, 17, 73, 9, 65, 16, 72, 24, 80, 32, 88, 40, 96, 48, 104, 56, 112, 52, 108, 44, 100, 36, 92, 28, 84, 20, 76, 12, 68, 5, 61)(3, 59, 8, 64, 14, 70, 23, 79, 30, 86, 39, 95, 46, 102, 55, 111, 51, 107, 43, 99, 35, 91, 27, 83, 19, 75, 11, 67, 4, 60, 7, 63, 15, 71, 22, 78, 31, 87, 38, 94, 47, 103, 54, 110, 50, 106, 42, 98, 34, 90, 26, 82, 18, 74, 10, 66)(113, 169, 115, 171)(114, 170, 119, 175)(116, 172, 121, 177)(117, 173, 123, 179)(118, 174, 126, 182)(120, 176, 128, 184)(122, 178, 129, 185)(124, 180, 130, 186)(125, 181, 134, 190)(127, 183, 136, 192)(131, 187, 137, 193)(132, 188, 139, 195)(133, 189, 142, 198)(135, 191, 144, 200)(138, 194, 145, 201)(140, 196, 146, 202)(141, 197, 150, 206)(143, 199, 152, 208)(147, 203, 153, 209)(148, 204, 155, 211)(149, 205, 158, 214)(151, 207, 160, 216)(154, 210, 161, 217)(156, 212, 162, 218)(157, 213, 166, 222)(159, 215, 168, 224)(163, 219, 165, 221)(164, 220, 167, 223)
	L = (1, 116)(2, 120)(3, 121)(4, 113)(5, 122)(6, 127)(7, 128)(8, 114)(9, 115)(10, 117)(11, 129)(12, 131)(13, 135)(14, 136)(15, 118)(16, 119)(17, 123)(18, 137)(19, 124)(20, 138)(21, 143)(22, 144)(23, 125)(24, 126)(25, 130)(26, 132)(27, 145)(28, 147)(29, 151)(30, 152)(31, 133)(32, 134)(33, 139)(34, 153)(35, 140)(36, 154)(37, 159)(38, 160)(39, 141)(40, 142)(41, 146)(42, 148)(43, 161)(44, 163)(45, 167)(46, 168)(47, 149)(48, 150)(49, 155)(50, 165)(51, 156)(52, 166)(53, 162)(54, 164)(55, 157)(56, 158)(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, 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, 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, 4, 28, 4, 28 ) }
Outer automorphisms :: reflexible
Dual of E26.856
Graph:: bipartite
	v = 30 e = 112 f = 32
	degree seq :: [ 4^28, 56^2 ]

E26.866 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 14, 28})
Quotient :: dipole
Aut^+ = C7 x D8 (small group id <56, 9>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, (Y1^-1, Y3), (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y2)^2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y2 * Y1^2 * Y2, Y2 * Y1^-1 * Y3^2 * Y2 * Y1, Y1^-1 * Y3 * Y2 * Y1 * Y3^-1 * Y2, Y1^-7 * Y3^-1, (Y1^-1 * Y3^-1)^14 ]
Map:: non-degenerate
	R = (1, 57, 2, 58, 7, 63, 20, 76, 37, 93, 36, 92, 19, 75, 6, 62, 10, 66, 23, 79, 40, 96, 52, 108, 46, 102, 30, 86, 15, 71, 28, 84, 44, 100, 56, 112, 49, 105, 33, 89, 16, 72, 4, 60, 9, 65, 22, 78, 39, 95, 35, 91, 18, 74, 5, 61)(3, 59, 11, 67, 21, 77, 41, 97, 51, 107, 48, 104, 32, 88, 14, 70, 25, 81, 43, 99, 54, 110, 50, 106, 34, 90, 17, 73, 26, 82, 8, 64, 24, 80, 38, 94, 53, 109, 45, 101, 29, 85, 12, 68, 27, 83, 42, 98, 55, 111, 47, 103, 31, 87, 13, 69)(113, 169, 115, 171)(114, 170, 120, 176)(116, 172, 126, 182)(117, 173, 129, 185)(118, 174, 124, 180)(119, 175, 133, 189)(121, 177, 139, 195)(122, 178, 137, 193)(123, 179, 140, 196)(125, 181, 142, 198)(127, 183, 138, 194)(128, 184, 141, 197)(130, 186, 143, 199)(131, 187, 144, 200)(132, 188, 150, 206)(134, 190, 155, 211)(135, 191, 154, 210)(136, 192, 156, 212)(145, 201, 160, 216)(146, 202, 158, 214)(147, 203, 162, 218)(148, 204, 157, 213)(149, 205, 163, 219)(151, 207, 167, 223)(152, 208, 166, 222)(153, 209, 168, 224)(159, 215, 164, 220)(161, 217, 165, 221)
	L = (1, 116)(2, 121)(3, 124)(4, 127)(5, 128)(6, 113)(7, 134)(8, 137)(9, 140)(10, 114)(11, 139)(12, 138)(13, 141)(14, 115)(15, 118)(16, 142)(17, 144)(18, 145)(19, 117)(20, 151)(21, 154)(22, 156)(23, 119)(24, 155)(25, 123)(26, 126)(27, 120)(28, 122)(29, 129)(30, 131)(31, 157)(32, 125)(33, 158)(34, 160)(35, 161)(36, 130)(37, 147)(38, 166)(39, 168)(40, 132)(41, 167)(42, 136)(43, 133)(44, 135)(45, 146)(46, 148)(47, 165)(48, 143)(49, 164)(50, 163)(51, 159)(52, 149)(53, 162)(54, 153)(55, 150)(56, 152)(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, 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, 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, 4, 28, 4, 28 ) }
Outer automorphisms :: reflexible
Dual of E26.855
Graph:: bipartite
	v = 30 e = 112 f = 32
	degree seq :: [ 4^28, 56^2 ]

E26.867 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 14, 28})
Quotient :: dipole
Aut^+ = C7 x D8 (small group id <56, 9>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^-2, Y2^2 * Y3^-1 * Y1, (Y2^-1 * Y1^-1)^2, (Y3^-1, Y1^-1), Y1^-1 * Y2 * Y3^-1 * Y2^-1, Y3 * Y1^-1 * Y2^-2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^4 * Y1^-10, Y3^14 ]
Map:: non-degenerate
	R = (1, 57, 2, 58, 8, 64, 19, 75, 29, 85, 37, 93, 45, 101, 53, 109, 52, 108, 43, 99, 33, 89, 26, 82, 17, 73, 5, 61)(3, 59, 13, 69, 20, 76, 11, 67, 24, 80, 30, 86, 40, 96, 46, 102, 56, 112, 51, 107, 41, 97, 34, 90, 28, 84, 16, 72)(4, 60, 10, 66, 7, 63, 12, 68, 22, 78, 31, 87, 39, 95, 47, 103, 55, 111, 49, 105, 42, 98, 36, 92, 27, 83, 14, 70)(6, 62, 18, 74, 21, 77, 32, 88, 38, 94, 48, 104, 54, 110, 50, 106, 44, 100, 35, 91, 25, 81, 15, 71, 23, 79, 9, 65)(113, 169, 115, 171, 126, 182, 137, 193, 145, 201, 153, 209, 161, 217, 166, 222, 157, 213, 152, 208, 143, 199, 133, 189, 120, 176, 132, 188, 122, 178, 135, 191, 129, 185, 140, 196, 148, 204, 156, 212, 164, 220, 168, 224, 159, 215, 150, 206, 141, 197, 136, 192, 124, 180, 118, 174)(114, 170, 121, 177, 116, 172, 128, 184, 138, 194, 147, 203, 154, 210, 163, 219, 165, 221, 160, 216, 151, 207, 142, 198, 131, 187, 130, 186, 119, 175, 125, 181, 117, 173, 127, 183, 139, 195, 146, 202, 155, 211, 162, 218, 167, 223, 158, 214, 149, 205, 144, 200, 134, 190, 123, 179)
	L = (1, 116)(2, 122)(3, 127)(4, 129)(5, 126)(6, 125)(7, 113)(8, 119)(9, 115)(10, 117)(11, 118)(12, 114)(13, 135)(14, 138)(15, 140)(16, 137)(17, 139)(18, 132)(19, 124)(20, 121)(21, 123)(22, 120)(23, 128)(24, 130)(25, 146)(26, 148)(27, 145)(28, 147)(29, 134)(30, 133)(31, 131)(32, 136)(33, 154)(34, 156)(35, 153)(36, 155)(37, 143)(38, 142)(39, 141)(40, 144)(41, 162)(42, 164)(43, 161)(44, 163)(45, 151)(46, 150)(47, 149)(48, 152)(49, 165)(50, 168)(51, 166)(52, 167)(53, 159)(54, 158)(55, 157)(56, 160)(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) :: { ( 4^28 ), ( 4^56 ) }
Outer automorphisms :: reflexible
Dual of E26.848
Graph:: bipartite
	v = 6 e = 112 f = 56
	degree seq :: [ 28^4, 56^2 ]

E26.868 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {28, 28, 28})
Quotient :: edge
Aut^+ = C7 x Q8 (small group id <56, 10>)
Aut   = (C4 x D14) : C2 (small group id <112, 34>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1, T2^-1 * T1 * T2^2 * T1^-1 * T2^-1, T2 * T1^-2 * T2^-1 * T1^2, T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, T1^-1 * T2^2 * T1^-5, T2^2 * T1^-1 * T2^21 * T1^-1 * T2 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 49, 34, 52, 54, 44, 20, 6, 19, 42, 25, 47, 23, 46, 36, 13, 32, 38, 53, 48, 24, 45, 21, 17, 5)(2, 7, 22, 16, 33, 11, 31, 50, 35, 40, 18, 39, 37, 15, 28, 9, 27, 14, 4, 12, 30, 51, 56, 43, 55, 41, 26, 8)(57, 58, 62, 74, 94, 86, 66, 78, 98, 93, 104, 112, 105, 89, 103, 84, 101, 111, 108, 87, 102, 83, 73, 82, 100, 91, 69, 60)(59, 65, 75, 97, 109, 106, 85, 70, 81, 64, 80, 96, 90, 68, 79, 63, 77, 95, 110, 107, 92, 72, 61, 71, 76, 99, 88, 67)
	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) :: { ( 56^28 ) }
Outer automorphisms :: reflexible
Dual of E26.870
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 56 f = 2
	degree seq :: [ 28^4 ]

E26.869 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {28, 28, 28})
Quotient :: edge
Aut^+ = C7 x Q8 (small group id <56, 10>)
Aut   = (C4 x D14) : C2 (small group id <112, 34>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2^3 * T1^-1, T1^-2 * T2^-1 * T1^2 * T2, T2^2 * T1 * T2^-2 * T1^-1, T1^-3 * T2^-2 * T1^-3, T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, T1^2 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-1 * T1^3 * T2^-1 * T1, 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 ]
Map:: non-degenerate
	R = (1, 3, 10, 24, 46, 21, 45, 53, 38, 34, 13, 30, 48, 25, 47, 23, 44, 20, 6, 19, 42, 54, 52, 35, 50, 32, 17, 5)(2, 7, 22, 43, 56, 41, 55, 49, 36, 14, 4, 12, 29, 15, 28, 9, 27, 40, 18, 39, 33, 51, 37, 16, 31, 11, 26, 8)(57, 58, 62, 74, 94, 92, 73, 82, 100, 83, 101, 111, 106, 87, 103, 84, 102, 112, 108, 93, 104, 85, 66, 78, 98, 89, 69, 60)(59, 65, 75, 97, 90, 72, 61, 71, 76, 99, 109, 107, 88, 68, 79, 63, 77, 95, 91, 70, 81, 64, 80, 96, 110, 105, 86, 67)
	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) :: { ( 56^28 ) }
Outer automorphisms :: reflexible
Dual of E26.871
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 56 f = 2
	degree seq :: [ 28^4 ]

E26.870 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {28, 28, 28})
Quotient :: loop
Aut^+ = C7 x Q8 (small group id <56, 10>)
Aut   = (C4 x D14) : C2 (small group id <112, 34>)
|r| :: 2
Presentation :: [ F^2, T1 * T2^-2 * T1, (F * T2)^2, (F * T1)^2, (T2 * T1^-1)^4, (T1^-1, T2^-1, T1^-1), T2^-3 * T1^-3 * T2^-1 * T1^-1 * T2^-1 * T1^-4 * T2^-1, 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 * T2^2, (T2^-1 * T1^-1)^28 ]
Map:: non-degenerate
	R = (1, 57, 3, 59, 6, 62, 15, 71, 26, 82, 38, 94, 45, 101, 54, 110, 52, 108, 43, 99, 36, 92, 24, 80, 32, 88, 18, 74, 31, 87, 17, 73, 30, 86, 16, 72, 29, 85, 39, 95, 48, 104, 55, 111, 49, 105, 42, 98, 33, 89, 23, 79, 11, 67, 5, 61)(2, 58, 7, 63, 14, 70, 27, 83, 37, 93, 46, 102, 53, 109, 51, 107, 44, 100, 35, 91, 25, 81, 13, 69, 21, 77, 10, 66, 20, 76, 9, 65, 19, 75, 28, 84, 40, 96, 47, 103, 56, 112, 50, 106, 41, 97, 34, 90, 22, 78, 12, 68, 4, 60, 8, 64)
	L = (1, 58)(2, 62)(3, 65)(4, 57)(5, 66)(6, 70)(7, 72)(8, 73)(9, 71)(10, 59)(11, 60)(12, 74)(13, 61)(14, 82)(15, 84)(16, 83)(17, 63)(18, 64)(19, 85)(20, 86)(21, 87)(22, 67)(23, 69)(24, 68)(25, 88)(26, 93)(27, 95)(28, 94)(29, 96)(30, 75)(31, 76)(32, 77)(33, 78)(34, 80)(35, 79)(36, 81)(37, 101)(38, 103)(39, 102)(40, 104)(41, 89)(42, 91)(43, 90)(44, 92)(45, 109)(46, 111)(47, 110)(48, 112)(49, 97)(50, 99)(51, 98)(52, 100)(53, 108)(54, 106)(55, 107)(56, 105)
	local type(s) :: { ( 28^56 ) }
Outer automorphisms :: reflexible
Dual of E26.868
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 56 f = 4
	degree seq :: [ 56^2 ]

E26.871 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {28, 28, 28})
Quotient :: loop
Aut^+ = C7 x Q8 (small group id <56, 10>)
Aut   = (C4 x D14) : C2 (small group id <112, 34>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2^3 * T1^-1, T1^-2 * T2^-1 * T1^2 * T2, T2^2 * T1 * T2^-2 * T1^-1, T1^-3 * T2^-2 * T1^-3, T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, T1^2 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-1 * T1^3 * T2^-1 * T1, 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 ]
Map:: non-degenerate
	R = (1, 57, 3, 59, 10, 66, 24, 80, 46, 102, 21, 77, 45, 101, 53, 109, 38, 94, 34, 90, 13, 69, 30, 86, 48, 104, 25, 81, 47, 103, 23, 79, 44, 100, 20, 76, 6, 62, 19, 75, 42, 98, 54, 110, 52, 108, 35, 91, 50, 106, 32, 88, 17, 73, 5, 61)(2, 58, 7, 63, 22, 78, 43, 99, 56, 112, 41, 97, 55, 111, 49, 105, 36, 92, 14, 70, 4, 60, 12, 68, 29, 85, 15, 71, 28, 84, 9, 65, 27, 83, 40, 96, 18, 74, 39, 95, 33, 89, 51, 107, 37, 93, 16, 72, 31, 87, 11, 67, 26, 82, 8, 64)
	L = (1, 58)(2, 62)(3, 65)(4, 57)(5, 71)(6, 74)(7, 77)(8, 80)(9, 75)(10, 78)(11, 59)(12, 79)(13, 60)(14, 81)(15, 76)(16, 61)(17, 82)(18, 94)(19, 97)(20, 99)(21, 95)(22, 98)(23, 63)(24, 96)(25, 64)(26, 100)(27, 101)(28, 102)(29, 66)(30, 67)(31, 103)(32, 68)(33, 69)(34, 72)(35, 70)(36, 73)(37, 104)(38, 92)(39, 91)(40, 110)(41, 90)(42, 89)(43, 109)(44, 83)(45, 111)(46, 112)(47, 84)(48, 85)(49, 86)(50, 87)(51, 88)(52, 93)(53, 107)(54, 105)(55, 106)(56, 108)
	local type(s) :: { ( 28^56 ) }
Outer automorphisms :: reflexible
Dual of E26.869
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 56 f = 4
	degree seq :: [ 56^2 ]

E26.872 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {28, 28, 28})
Quotient :: dipole
Aut^+ = C7 x Q8 (small group id <56, 10>)
Aut   = (C4 x D14) : C2 (small group id <112, 34>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1^2 * Y2 * Y1^-2, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2 * Y3 * Y1^-2, Y3^2 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-2, Y3^-1 * Y2^-1 * Y3 * Y1^-1 * Y2 * Y1, (Y2^-1 * R * Y2^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y3 * Y2^2 * Y3^-1 * Y2^-2, Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-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^-1 * Y3 * Y2^-4 * Y1^-1 * Y2^-1, Y2^2 * Y1^-1 * Y2^2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3, Y1^28, (Y2^-1 * Y3)^28 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 18, 74, 38, 94, 27, 83, 43, 99, 55, 111, 50, 106, 35, 91, 17, 73, 26, 82, 42, 98, 31, 87, 46, 102, 28, 84, 44, 100, 30, 86, 10, 66, 22, 78, 41, 97, 54, 110, 52, 108, 36, 92, 47, 103, 32, 88, 13, 69, 4, 60)(3, 59, 9, 65, 19, 75, 40, 96, 53, 109, 45, 101, 56, 112, 48, 104, 33, 89, 16, 72, 5, 61, 15, 71, 20, 76, 12, 68, 23, 79, 7, 63, 21, 77, 39, 95, 29, 85, 49, 105, 37, 93, 51, 107, 34, 90, 14, 70, 25, 81, 8, 64, 24, 80, 11, 67)(113, 169, 115, 171, 122, 178, 141, 197, 162, 218, 145, 201, 125, 181, 136, 192, 156, 212, 133, 189, 155, 211, 168, 224, 159, 215, 137, 193, 158, 214, 135, 191, 150, 206, 165, 221, 164, 220, 146, 202, 154, 210, 132, 188, 118, 174, 131, 187, 153, 209, 149, 205, 129, 185, 117, 173)(114, 170, 119, 175, 134, 190, 157, 213, 147, 203, 126, 182, 116, 172, 124, 180, 142, 198, 152, 208, 167, 223, 163, 219, 144, 200, 127, 183, 140, 196, 121, 177, 139, 195, 161, 217, 148, 204, 128, 184, 143, 199, 123, 179, 130, 186, 151, 207, 166, 222, 160, 216, 138, 194, 120, 176)
	L = (1, 116)(2, 113)(3, 123)(4, 125)(5, 128)(6, 114)(7, 135)(8, 137)(9, 115)(10, 142)(11, 136)(12, 132)(13, 144)(14, 146)(15, 117)(16, 145)(17, 147)(18, 118)(19, 121)(20, 127)(21, 119)(22, 122)(23, 124)(24, 120)(25, 126)(26, 129)(27, 150)(28, 158)(29, 151)(30, 156)(31, 154)(32, 159)(33, 160)(34, 163)(35, 162)(36, 164)(37, 161)(38, 130)(39, 133)(40, 131)(41, 134)(42, 138)(43, 139)(44, 140)(45, 165)(46, 143)(47, 148)(48, 168)(49, 141)(50, 167)(51, 149)(52, 166)(53, 152)(54, 153)(55, 155)(56, 157)(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) :: { ( 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.875
Graph:: bipartite
	v = 4 e = 112 f = 58
	degree seq :: [ 56^4 ]

E26.873 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {28, 28, 28})
Quotient :: dipole
Aut^+ = C7 x Q8 (small group id <56, 10>)
Aut   = (C4 x D14) : C2 (small group id <112, 34>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1^-2 * Y3^-2, (R * Y3)^2, (R * Y1)^2, Y2^-2 * Y1 * Y2^2 * Y1^-1, Y2 * Y3^-2 * Y2^-1 * Y3^2, Y3 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y2 * Y1 * Y3^-1 * Y2^-1, Y3^3 * Y2^-1 * Y1^-1 * Y2^-1, Y3 * Y2^2 * Y3^-1 * Y2^-2, (Y2^-1 * R * Y2^-1)^2, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^2, Y1^28, (Y3 * Y2^-1)^28 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 18, 74, 38, 94, 36, 92, 47, 103, 55, 111, 51, 107, 30, 86, 10, 66, 22, 78, 40, 96, 33, 89, 46, 102, 28, 84, 43, 99, 35, 91, 17, 73, 26, 82, 42, 98, 54, 110, 52, 108, 31, 87, 45, 101, 27, 83, 13, 69, 4, 60)(3, 59, 9, 65, 19, 75, 14, 70, 25, 81, 8, 64, 24, 80, 39, 95, 37, 93, 50, 106, 29, 85, 49, 105, 34, 90, 12, 68, 23, 79, 7, 63, 21, 77, 16, 72, 5, 61, 15, 71, 20, 76, 41, 97, 53, 109, 48, 104, 56, 112, 44, 100, 32, 88, 11, 67)(113, 169, 115, 171, 122, 178, 141, 197, 154, 210, 132, 188, 118, 174, 131, 187, 152, 208, 146, 202, 164, 220, 165, 221, 150, 206, 137, 193, 158, 214, 135, 191, 157, 213, 168, 224, 159, 215, 136, 192, 155, 211, 133, 189, 125, 181, 144, 200, 163, 219, 149, 205, 129, 185, 117, 173)(114, 170, 119, 175, 134, 190, 156, 212, 166, 222, 151, 207, 130, 186, 128, 184, 145, 201, 123, 179, 143, 199, 162, 218, 148, 204, 127, 183, 140, 196, 121, 177, 139, 195, 161, 217, 167, 223, 153, 209, 147, 203, 126, 182, 116, 172, 124, 180, 142, 198, 160, 216, 138, 194, 120, 176)
	L = (1, 116)(2, 113)(3, 123)(4, 125)(5, 128)(6, 114)(7, 135)(8, 137)(9, 115)(10, 142)(11, 144)(12, 146)(13, 139)(14, 131)(15, 117)(16, 133)(17, 147)(18, 118)(19, 121)(20, 127)(21, 119)(22, 122)(23, 124)(24, 120)(25, 126)(26, 129)(27, 157)(28, 158)(29, 162)(30, 163)(31, 164)(32, 156)(33, 152)(34, 161)(35, 155)(36, 150)(37, 151)(38, 130)(39, 136)(40, 134)(41, 132)(42, 138)(43, 140)(44, 168)(45, 143)(46, 145)(47, 148)(48, 165)(49, 141)(50, 149)(51, 167)(52, 166)(53, 153)(54, 154)(55, 159)(56, 160)(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) :: { ( 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.874
Graph:: bipartite
	v = 4 e = 112 f = 58
	degree seq :: [ 56^4 ]

E26.874 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {28, 28, 28})
Quotient :: dipole
Aut^+ = C7 x Q8 (small group id <56, 10>)
Aut   = (C4 x D14) : C2 (small group id <112, 34>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^-2 * Y3^-2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2^-1)^4, Y2^-2 * Y3^5 * Y2^-1 * Y3 * Y2^-5, Y3^5 * Y2^-1 * Y3^-1 * Y2^6 * Y3^-1 * Y2^-1 * Y3, (Y3^-1 * Y1^-1)^28, (Y3 * Y2^-1)^28 ]
Map::
	R = (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)(113, 169, 114, 170, 118, 174, 126, 182, 138, 194, 149, 205, 157, 213, 165, 221, 164, 220, 155, 211, 148, 204, 135, 191, 143, 199, 131, 187, 141, 197, 132, 188, 142, 198, 137, 193, 144, 200, 152, 208, 160, 216, 168, 224, 161, 217, 154, 210, 145, 201, 134, 190, 122, 178, 116, 172)(115, 171, 121, 177, 117, 173, 125, 181, 127, 183, 140, 196, 150, 206, 159, 215, 166, 222, 163, 219, 156, 212, 147, 203, 136, 192, 124, 180, 129, 185, 119, 175, 128, 184, 120, 176, 130, 186, 139, 195, 151, 207, 158, 214, 167, 223, 162, 218, 153, 209, 146, 202, 133, 189, 123, 179)
	L = (1, 115)(2, 119)(3, 122)(4, 124)(5, 113)(6, 117)(7, 116)(8, 114)(9, 131)(10, 133)(11, 135)(12, 134)(13, 132)(14, 120)(15, 118)(16, 141)(17, 143)(18, 142)(19, 123)(20, 121)(21, 145)(22, 147)(23, 146)(24, 148)(25, 125)(26, 127)(27, 126)(28, 137)(29, 129)(30, 128)(31, 136)(32, 130)(33, 153)(34, 155)(35, 154)(36, 156)(37, 139)(38, 138)(39, 144)(40, 140)(41, 161)(42, 163)(43, 162)(44, 164)(45, 150)(46, 149)(47, 152)(48, 151)(49, 167)(50, 165)(51, 168)(52, 166)(53, 158)(54, 157)(55, 160)(56, 159)(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) :: { ( 56, 56 ), ( 56^56 ) }
Outer automorphisms :: reflexible
Dual of E26.873
Graph:: simple bipartite
	v = 58 e = 112 f = 4
	degree seq :: [ 2^56, 56^2 ]

E26.875 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {28, 28, 28})
Quotient :: dipole
Aut^+ = C7 x Q8 (small group id <56, 10>)
Aut   = (C4 x D14) : C2 (small group id <112, 34>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2^2 * Y3^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y3 * Y2^-2 * Y3^-1 * Y2^2, Y3^2 * Y2 * Y3^-2 * Y2^-1, Y3 * Y2^-4 * Y3 * Y2^-2, Y2 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^8, (Y3^-1 * Y1^-1)^28 ]
Map::
	R = (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)(113, 169, 114, 170, 118, 174, 130, 186, 150, 206, 142, 198, 122, 178, 134, 190, 154, 210, 149, 205, 160, 216, 168, 224, 161, 217, 145, 201, 159, 215, 140, 196, 157, 213, 167, 223, 164, 220, 143, 199, 158, 214, 139, 195, 129, 185, 138, 194, 156, 212, 147, 203, 125, 181, 116, 172)(115, 171, 121, 177, 131, 187, 153, 209, 165, 221, 162, 218, 141, 197, 126, 182, 137, 193, 120, 176, 136, 192, 152, 208, 146, 202, 124, 180, 135, 191, 119, 175, 133, 189, 151, 207, 166, 222, 163, 219, 148, 204, 128, 184, 117, 173, 127, 183, 132, 188, 155, 211, 144, 200, 123, 179)
	L = (1, 115)(2, 119)(3, 122)(4, 124)(5, 113)(6, 131)(7, 134)(8, 114)(9, 139)(10, 141)(11, 143)(12, 142)(13, 144)(14, 116)(15, 140)(16, 145)(17, 117)(18, 151)(19, 154)(20, 118)(21, 129)(22, 128)(23, 158)(24, 157)(25, 159)(26, 120)(27, 126)(28, 121)(29, 161)(30, 163)(31, 162)(32, 150)(33, 123)(34, 164)(35, 152)(36, 125)(37, 127)(38, 165)(39, 149)(40, 130)(41, 138)(42, 137)(43, 167)(44, 132)(45, 133)(46, 148)(47, 135)(48, 136)(49, 146)(50, 147)(51, 168)(52, 166)(53, 160)(54, 156)(55, 153)(56, 155)(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) :: { ( 56, 56 ), ( 56^56 ) }
Outer automorphisms :: reflexible
Dual of E26.872
Graph:: simple bipartite
	v = 58 e = 112 f = 4
	degree seq :: [ 2^56, 56^2 ]

E26.876 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 56, 56})
Quotient :: edge
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1^-1), T2^4 * T1^-1, T1^14, 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 ]
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, 55, 54, 46, 53, 56, 51, 43, 50, 52, 44, 35, 42, 45, 36, 27, 34, 37, 28, 19, 26, 29, 20, 11, 18, 21, 12, 4, 10, 13, 5)(57, 58, 62, 70, 78, 86, 94, 102, 99, 91, 83, 75, 67, 60)(59, 63, 71, 79, 87, 95, 103, 109, 106, 98, 90, 82, 74, 66)(61, 64, 72, 80, 88, 96, 104, 110, 107, 100, 92, 84, 76, 68)(65, 73, 81, 89, 97, 105, 111, 112, 108, 101, 93, 85, 77, 69)
	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) :: { ( 112^14 ), ( 112^56 ) }
Outer automorphisms :: reflexible
Dual of E26.887
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 56 f = 1
	degree seq :: [ 14^4, 56 ]

E26.877 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 56, 56})
Quotient :: edge
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1), T2^4 * T1, T1^14, (T2^2 * T1^-1)^28 ]
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, 52, 44, 51, 56, 54, 46, 53, 55, 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)(57, 58, 62, 70, 78, 86, 94, 102, 100, 92, 84, 76, 67, 60)(59, 63, 71, 79, 87, 95, 103, 109, 107, 99, 91, 83, 75, 66)(61, 64, 72, 80, 88, 96, 104, 110, 108, 101, 93, 85, 77, 68)(65, 69, 73, 81, 89, 97, 105, 111, 112, 106, 98, 90, 82, 74)
	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) :: { ( 112^14 ), ( 112^56 ) }
Outer automorphisms :: reflexible
Dual of E26.885
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 56 f = 1
	degree seq :: [ 14^4, 56 ]

E26.878 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 56, 56})
Quotient :: edge
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^3 * T2^4, T1^-14, T1^14, T1^4 * T2^-1 * T1 * T2^-1 * T1^5 * T2^-2 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 22, 32, 39, 46, 49, 56, 52, 43, 34, 37, 28, 16, 6, 15, 24, 12, 4, 10, 20, 30, 33, 40, 47, 54, 50, 53, 44, 35, 26, 29, 18, 8, 2, 7, 17, 23, 11, 21, 31, 38, 41, 48, 55, 51, 42, 45, 36, 27, 14, 25, 13, 5)(57, 58, 62, 70, 82, 90, 98, 106, 105, 97, 89, 78, 67, 60)(59, 63, 71, 81, 85, 93, 101, 109, 112, 104, 96, 88, 77, 66)(61, 64, 72, 83, 91, 99, 107, 110, 102, 94, 86, 75, 79, 68)(65, 73, 80, 69, 74, 84, 92, 100, 108, 111, 103, 95, 87, 76)
	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) :: { ( 112^14 ), ( 112^56 ) }
Outer automorphisms :: reflexible
Dual of E26.884
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 56 f = 1
	degree seq :: [ 14^4, 56 ]

E26.879 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 56, 56})
Quotient :: edge
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T1)^2, (F * T2)^2, T2^-1 * T1^2 * T2^-2 * T1^3 * T2^-1, T1^2 * T2 * T1 * T2^7 * 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 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 46, 56, 47, 37, 32, 18, 8, 2, 7, 17, 31, 45, 55, 48, 38, 22, 36, 30, 16, 6, 15, 29, 44, 54, 49, 39, 23, 11, 21, 35, 28, 14, 27, 43, 53, 50, 40, 24, 12, 4, 10, 20, 34, 26, 42, 52, 51, 41, 25, 13, 5)(57, 58, 62, 70, 82, 89, 101, 110, 106, 97, 93, 78, 67, 60)(59, 63, 71, 83, 98, 102, 111, 105, 96, 81, 88, 92, 77, 66)(61, 64, 72, 84, 90, 75, 87, 100, 109, 107, 103, 94, 79, 68)(65, 73, 85, 99, 108, 112, 104, 95, 80, 69, 74, 86, 91, 76)
	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) :: { ( 112^14 ), ( 112^56 ) }
Outer automorphisms :: reflexible
Dual of E26.886
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 56 f = 1
	degree seq :: [ 14^4, 56 ]

E26.880 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 56, 56})
Quotient :: edge
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1), (F * T1)^2, T2^-2 * T1^-2 * T2 * T1 * T2 * T1, T1^3 * T2 * T1 * T2^3 * T1, T1^3 * T2^-1 * T1 * T2^-7, 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 * T2^2 * T1^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 46, 52, 42, 26, 40, 24, 12, 4, 10, 20, 34, 47, 53, 43, 28, 14, 27, 39, 23, 11, 21, 35, 48, 54, 44, 30, 16, 6, 15, 29, 38, 22, 36, 49, 55, 45, 32, 18, 8, 2, 7, 17, 31, 37, 50, 56, 51, 41, 25, 13, 5)(57, 58, 62, 70, 82, 97, 101, 110, 103, 89, 93, 78, 67, 60)(59, 63, 71, 83, 96, 81, 88, 100, 109, 102, 106, 92, 77, 66)(61, 64, 72, 84, 98, 107, 111, 104, 90, 75, 87, 94, 79, 68)(65, 73, 85, 95, 80, 69, 74, 86, 99, 108, 112, 105, 91, 76)
	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) :: { ( 112^14 ), ( 112^56 ) }
Outer automorphisms :: reflexible
Dual of E26.883
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 56 f = 1
	degree seq :: [ 14^4, 56 ]

E26.881 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 56, 56})
Quotient :: edge
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-3, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2^18, (T2^-1 * T1^-1)^14 ]
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, 52, 46, 40, 34, 28, 22, 16, 10, 4, 6, 12, 18, 24, 30, 36, 42, 48, 54, 53, 47, 41, 35, 29, 23, 17, 11, 5)(57, 58, 62, 59, 63, 68, 65, 69, 74, 71, 75, 80, 77, 81, 86, 83, 87, 92, 89, 93, 98, 95, 99, 104, 101, 105, 110, 107, 111, 109, 112, 108, 103, 106, 102, 97, 100, 96, 91, 94, 90, 85, 88, 84, 79, 82, 78, 73, 76, 72, 67, 70, 66, 61, 64, 60)
	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) :: { ( 28^56 ) }
Outer automorphisms :: reflexible
Dual of E26.889
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 56 f = 4
	degree seq :: [ 56^2 ]

E26.882 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 56, 56})
Quotient :: edge
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|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^-11 * T1, T1^-2 * T2^-2 * T1 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-3 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 29, 39, 48, 38, 28, 18, 8, 2, 7, 17, 27, 37, 47, 54, 46, 36, 26, 16, 6, 15, 25, 35, 45, 53, 56, 52, 44, 34, 24, 14, 11, 21, 31, 41, 50, 55, 51, 42, 32, 22, 12, 4, 10, 20, 30, 40, 49, 43, 33, 23, 13, 5)(57, 58, 62, 70, 68, 61, 64, 72, 80, 78, 69, 74, 82, 90, 88, 79, 84, 92, 100, 98, 89, 94, 102, 108, 107, 99, 104, 110, 112, 111, 105, 95, 103, 109, 106, 96, 85, 93, 101, 97, 86, 75, 83, 91, 87, 76, 65, 73, 81, 77, 66, 59, 63, 71, 67, 60)
	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) :: { ( 28^56 ) }
Outer automorphisms :: reflexible
Dual of E26.888
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 56 f = 4
	degree seq :: [ 56^2 ]

E26.883 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 56, 56})
Quotient :: loop
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1^-1), T2^4 * T1^-1, T1^14, 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 ]
Map:: non-degenerate
	R = (1, 57, 3, 59, 9, 65, 8, 64, 2, 58, 7, 63, 17, 73, 16, 72, 6, 62, 15, 71, 25, 81, 24, 80, 14, 70, 23, 79, 33, 89, 32, 88, 22, 78, 31, 87, 41, 97, 40, 96, 30, 86, 39, 95, 49, 105, 48, 104, 38, 94, 47, 103, 55, 111, 54, 110, 46, 102, 53, 109, 56, 112, 51, 107, 43, 99, 50, 106, 52, 108, 44, 100, 35, 91, 42, 98, 45, 101, 36, 92, 27, 83, 34, 90, 37, 93, 28, 84, 19, 75, 26, 82, 29, 85, 20, 76, 11, 67, 18, 74, 21, 77, 12, 68, 4, 60, 10, 66, 13, 69, 5, 61)
	L = (1, 58)(2, 62)(3, 63)(4, 57)(5, 64)(6, 70)(7, 71)(8, 72)(9, 73)(10, 59)(11, 60)(12, 61)(13, 65)(14, 78)(15, 79)(16, 80)(17, 81)(18, 66)(19, 67)(20, 68)(21, 69)(22, 86)(23, 87)(24, 88)(25, 89)(26, 74)(27, 75)(28, 76)(29, 77)(30, 94)(31, 95)(32, 96)(33, 97)(34, 82)(35, 83)(36, 84)(37, 85)(38, 102)(39, 103)(40, 104)(41, 105)(42, 90)(43, 91)(44, 92)(45, 93)(46, 99)(47, 109)(48, 110)(49, 111)(50, 98)(51, 100)(52, 101)(53, 106)(54, 107)(55, 112)(56, 108)
	local type(s) :: { ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.880
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 56 f = 5
	degree seq :: [ 112 ]

E26.884 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 56, 56})
Quotient :: loop
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1), T2^4 * T1, T1^14, (T2^2 * T1^-1)^28 ]
Map:: non-degenerate
	R = (1, 57, 3, 59, 9, 65, 12, 68, 4, 60, 10, 66, 18, 74, 21, 77, 11, 67, 19, 75, 26, 82, 29, 85, 20, 76, 27, 83, 34, 90, 37, 93, 28, 84, 35, 91, 42, 98, 45, 101, 36, 92, 43, 99, 50, 106, 52, 108, 44, 100, 51, 107, 56, 112, 54, 110, 46, 102, 53, 109, 55, 111, 48, 104, 38, 94, 47, 103, 49, 105, 40, 96, 30, 86, 39, 95, 41, 97, 32, 88, 22, 78, 31, 87, 33, 89, 24, 80, 14, 70, 23, 79, 25, 81, 16, 72, 6, 62, 15, 71, 17, 73, 8, 64, 2, 58, 7, 63, 13, 69, 5, 61)
	L = (1, 58)(2, 62)(3, 63)(4, 57)(5, 64)(6, 70)(7, 71)(8, 72)(9, 69)(10, 59)(11, 60)(12, 61)(13, 73)(14, 78)(15, 79)(16, 80)(17, 81)(18, 65)(19, 66)(20, 67)(21, 68)(22, 86)(23, 87)(24, 88)(25, 89)(26, 74)(27, 75)(28, 76)(29, 77)(30, 94)(31, 95)(32, 96)(33, 97)(34, 82)(35, 83)(36, 84)(37, 85)(38, 102)(39, 103)(40, 104)(41, 105)(42, 90)(43, 91)(44, 92)(45, 93)(46, 100)(47, 109)(48, 110)(49, 111)(50, 98)(51, 99)(52, 101)(53, 107)(54, 108)(55, 112)(56, 106)
	local type(s) :: { ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.878
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 56 f = 5
	degree seq :: [ 112 ]

E26.885 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 56, 56})
Quotient :: loop
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^3 * T2^4, T1^-14, T1^14, T1^4 * T2^-1 * T1 * T2^-1 * T1^5 * T2^-2 * T1 ]
Map:: non-degenerate
	R = (1, 57, 3, 59, 9, 65, 19, 75, 22, 78, 32, 88, 39, 95, 46, 102, 49, 105, 56, 112, 52, 108, 43, 99, 34, 90, 37, 93, 28, 84, 16, 72, 6, 62, 15, 71, 24, 80, 12, 68, 4, 60, 10, 66, 20, 76, 30, 86, 33, 89, 40, 96, 47, 103, 54, 110, 50, 106, 53, 109, 44, 100, 35, 91, 26, 82, 29, 85, 18, 74, 8, 64, 2, 58, 7, 63, 17, 73, 23, 79, 11, 67, 21, 77, 31, 87, 38, 94, 41, 97, 48, 104, 55, 111, 51, 107, 42, 98, 45, 101, 36, 92, 27, 83, 14, 70, 25, 81, 13, 69, 5, 61)
	L = (1, 58)(2, 62)(3, 63)(4, 57)(5, 64)(6, 70)(7, 71)(8, 72)(9, 73)(10, 59)(11, 60)(12, 61)(13, 74)(14, 82)(15, 81)(16, 83)(17, 80)(18, 84)(19, 79)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 85)(26, 90)(27, 91)(28, 92)(29, 93)(30, 75)(31, 76)(32, 77)(33, 78)(34, 98)(35, 99)(36, 100)(37, 101)(38, 86)(39, 87)(40, 88)(41, 89)(42, 106)(43, 107)(44, 108)(45, 109)(46, 94)(47, 95)(48, 96)(49, 97)(50, 105)(51, 110)(52, 111)(53, 112)(54, 102)(55, 103)(56, 104)
	local type(s) :: { ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.877
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 56 f = 5
	degree seq :: [ 112 ]

E26.886 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 56, 56})
Quotient :: loop
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T1)^2, (F * T2)^2, T2^-1 * T1^2 * T2^-2 * T1^3 * T2^-1, T1^2 * T2 * T1 * T2^7 * 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 ]
Map:: non-degenerate
	R = (1, 57, 3, 59, 9, 65, 19, 75, 33, 89, 46, 102, 56, 112, 47, 103, 37, 93, 32, 88, 18, 74, 8, 64, 2, 58, 7, 63, 17, 73, 31, 87, 45, 101, 55, 111, 48, 104, 38, 94, 22, 78, 36, 92, 30, 86, 16, 72, 6, 62, 15, 71, 29, 85, 44, 100, 54, 110, 49, 105, 39, 95, 23, 79, 11, 67, 21, 77, 35, 91, 28, 84, 14, 70, 27, 83, 43, 99, 53, 109, 50, 106, 40, 96, 24, 80, 12, 68, 4, 60, 10, 66, 20, 76, 34, 90, 26, 82, 42, 98, 52, 108, 51, 107, 41, 97, 25, 81, 13, 69, 5, 61)
	L = (1, 58)(2, 62)(3, 63)(4, 57)(5, 64)(6, 70)(7, 71)(8, 72)(9, 73)(10, 59)(11, 60)(12, 61)(13, 74)(14, 82)(15, 83)(16, 84)(17, 85)(18, 86)(19, 87)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 88)(26, 89)(27, 98)(28, 90)(29, 99)(30, 91)(31, 100)(32, 92)(33, 101)(34, 75)(35, 76)(36, 77)(37, 78)(38, 79)(39, 80)(40, 81)(41, 93)(42, 102)(43, 108)(44, 109)(45, 110)(46, 111)(47, 94)(48, 95)(49, 96)(50, 97)(51, 103)(52, 112)(53, 107)(54, 106)(55, 105)(56, 104)
	local type(s) :: { ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.879
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 56 f = 5
	degree seq :: [ 112 ]

E26.887 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 56, 56})
Quotient :: loop
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1), (F * T1)^2, T2^-2 * T1^-2 * T2 * T1 * T2 * T1, T1^3 * T2 * T1 * T2^3 * T1, T1^3 * T2^-1 * T1 * T2^-7, 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 * T2^2 * T1^2 ]
Map:: non-degenerate
	R = (1, 57, 3, 59, 9, 65, 19, 75, 33, 89, 46, 102, 52, 108, 42, 98, 26, 82, 40, 96, 24, 80, 12, 68, 4, 60, 10, 66, 20, 76, 34, 90, 47, 103, 53, 109, 43, 99, 28, 84, 14, 70, 27, 83, 39, 95, 23, 79, 11, 67, 21, 77, 35, 91, 48, 104, 54, 110, 44, 100, 30, 86, 16, 72, 6, 62, 15, 71, 29, 85, 38, 94, 22, 78, 36, 92, 49, 105, 55, 111, 45, 101, 32, 88, 18, 74, 8, 64, 2, 58, 7, 63, 17, 73, 31, 87, 37, 93, 50, 106, 56, 112, 51, 107, 41, 97, 25, 81, 13, 69, 5, 61)
	L = (1, 58)(2, 62)(3, 63)(4, 57)(5, 64)(6, 70)(7, 71)(8, 72)(9, 73)(10, 59)(11, 60)(12, 61)(13, 74)(14, 82)(15, 83)(16, 84)(17, 85)(18, 86)(19, 87)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 88)(26, 97)(27, 96)(28, 98)(29, 95)(30, 99)(31, 94)(32, 100)(33, 93)(34, 75)(35, 76)(36, 77)(37, 78)(38, 79)(39, 80)(40, 81)(41, 101)(42, 107)(43, 108)(44, 109)(45, 110)(46, 106)(47, 89)(48, 90)(49, 91)(50, 92)(51, 111)(52, 112)(53, 102)(54, 103)(55, 104)(56, 105)
	local type(s) :: { ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.876
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 56 f = 5
	degree seq :: [ 112 ]

E26.888 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 56, 56})
Quotient :: loop
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-1 * T1^4, T2^14, (T1^-1 * T2^-1)^56 ]
Map:: non-degenerate
	R = (1, 57, 3, 59, 9, 65, 17, 73, 25, 81, 33, 89, 41, 97, 49, 105, 45, 101, 37, 93, 29, 85, 21, 77, 13, 69, 5, 61)(2, 58, 7, 63, 15, 71, 23, 79, 31, 87, 39, 95, 47, 103, 54, 110, 48, 104, 40, 96, 32, 88, 24, 80, 16, 72, 8, 64)(4, 60, 10, 66, 18, 74, 26, 82, 34, 90, 42, 98, 50, 106, 55, 111, 52, 108, 44, 100, 36, 92, 28, 84, 20, 76, 12, 68)(6, 62, 14, 70, 22, 78, 30, 86, 38, 94, 46, 102, 53, 109, 56, 112, 51, 107, 43, 99, 35, 91, 27, 83, 19, 75, 11, 67)
	L = (1, 58)(2, 62)(3, 63)(4, 57)(5, 64)(6, 66)(7, 70)(8, 67)(9, 71)(10, 59)(11, 60)(12, 61)(13, 72)(14, 74)(15, 78)(16, 75)(17, 79)(18, 65)(19, 68)(20, 69)(21, 80)(22, 82)(23, 86)(24, 83)(25, 87)(26, 73)(27, 76)(28, 77)(29, 88)(30, 90)(31, 94)(32, 91)(33, 95)(34, 81)(35, 84)(36, 85)(37, 96)(38, 98)(39, 102)(40, 99)(41, 103)(42, 89)(43, 92)(44, 93)(45, 104)(46, 106)(47, 109)(48, 107)(49, 110)(50, 97)(51, 100)(52, 101)(53, 111)(54, 112)(55, 105)(56, 108)
	local type(s) :: { ( 56^28 ) }
Outer automorphisms :: reflexible
Dual of E26.882
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 56 f = 2
	degree seq :: [ 28^4 ]

E26.889 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 56, 56})
Quotient :: loop
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1^-1), T2 * T1^4, T2^14, 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^-2 * T1 * T2^-2 * T1^2 * T2^-1 ]
Map:: non-degenerate
	R = (1, 57, 3, 59, 9, 65, 17, 73, 25, 81, 33, 89, 41, 97, 49, 105, 45, 101, 37, 93, 29, 85, 21, 77, 13, 69, 5, 61)(2, 58, 7, 63, 15, 71, 23, 79, 31, 87, 39, 95, 47, 103, 54, 110, 48, 104, 40, 96, 32, 88, 24, 80, 16, 72, 8, 64)(4, 60, 10, 66, 18, 74, 26, 82, 34, 90, 42, 98, 50, 106, 55, 111, 52, 108, 44, 100, 36, 92, 28, 84, 20, 76, 12, 68)(6, 62, 11, 67, 19, 75, 27, 83, 35, 91, 43, 99, 51, 107, 56, 112, 53, 109, 46, 102, 38, 94, 30, 86, 22, 78, 14, 70)
	L = (1, 58)(2, 62)(3, 63)(4, 57)(5, 64)(6, 68)(7, 67)(8, 70)(9, 71)(10, 59)(11, 60)(12, 61)(13, 72)(14, 76)(15, 75)(16, 78)(17, 79)(18, 65)(19, 66)(20, 69)(21, 80)(22, 84)(23, 83)(24, 86)(25, 87)(26, 73)(27, 74)(28, 77)(29, 88)(30, 92)(31, 91)(32, 94)(33, 95)(34, 81)(35, 82)(36, 85)(37, 96)(38, 100)(39, 99)(40, 102)(41, 103)(42, 89)(43, 90)(44, 93)(45, 104)(46, 108)(47, 107)(48, 109)(49, 110)(50, 97)(51, 98)(52, 101)(53, 111)(54, 112)(55, 105)(56, 106)
	local type(s) :: { ( 56^28 ) }
Outer automorphisms :: reflexible
Dual of E26.881
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 56 f = 2
	degree seq :: [ 28^4 ]

E26.890 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 56, 56})
Quotient :: dipole
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (Y2, Y1^-1), (R * Y3)^2, (R * Y1)^2, (Y2, Y3^-1), (R * Y2)^2, Y2^2 * Y3^-1 * Y2^2, Y1^14, Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2^2 * Y3 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 14, 70, 22, 78, 30, 86, 38, 94, 46, 102, 44, 100, 36, 92, 28, 84, 20, 76, 11, 67, 4, 60)(3, 59, 7, 63, 15, 71, 23, 79, 31, 87, 39, 95, 47, 103, 53, 109, 51, 107, 43, 99, 35, 91, 27, 83, 19, 75, 10, 66)(5, 61, 8, 64, 16, 72, 24, 80, 32, 88, 40, 96, 48, 104, 54, 110, 52, 108, 45, 101, 37, 93, 29, 85, 21, 77, 12, 68)(9, 65, 13, 69, 17, 73, 25, 81, 33, 89, 41, 97, 49, 105, 55, 111, 56, 112, 50, 106, 42, 98, 34, 90, 26, 82, 18, 74)(113, 169, 115, 171, 121, 177, 124, 180, 116, 172, 122, 178, 130, 186, 133, 189, 123, 179, 131, 187, 138, 194, 141, 197, 132, 188, 139, 195, 146, 202, 149, 205, 140, 196, 147, 203, 154, 210, 157, 213, 148, 204, 155, 211, 162, 218, 164, 220, 156, 212, 163, 219, 168, 224, 166, 222, 158, 214, 165, 221, 167, 223, 160, 216, 150, 206, 159, 215, 161, 217, 152, 208, 142, 198, 151, 207, 153, 209, 144, 200, 134, 190, 143, 199, 145, 201, 136, 192, 126, 182, 135, 191, 137, 193, 128, 184, 118, 174, 127, 183, 129, 185, 120, 176, 114, 170, 119, 175, 125, 181, 117, 173)
	L = (1, 116)(2, 113)(3, 122)(4, 123)(5, 124)(6, 114)(7, 115)(8, 117)(9, 130)(10, 131)(11, 132)(12, 133)(13, 121)(14, 118)(15, 119)(16, 120)(17, 125)(18, 138)(19, 139)(20, 140)(21, 141)(22, 126)(23, 127)(24, 128)(25, 129)(26, 146)(27, 147)(28, 148)(29, 149)(30, 134)(31, 135)(32, 136)(33, 137)(34, 154)(35, 155)(36, 156)(37, 157)(38, 142)(39, 143)(40, 144)(41, 145)(42, 162)(43, 163)(44, 158)(45, 164)(46, 150)(47, 151)(48, 152)(49, 153)(50, 168)(51, 165)(52, 166)(53, 159)(54, 160)(55, 161)(56, 167)(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) :: { ( 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 E26.901
Graph:: bipartite
	v = 5 e = 112 f = 57
	degree seq :: [ 28^4, 112 ]

E26.891 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 56, 56})
Quotient :: dipole
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (Y2, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^4 * Y3, Y1^14, 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 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 14, 70, 22, 78, 30, 86, 38, 94, 46, 102, 43, 99, 35, 91, 27, 83, 19, 75, 11, 67, 4, 60)(3, 59, 7, 63, 15, 71, 23, 79, 31, 87, 39, 95, 47, 103, 53, 109, 50, 106, 42, 98, 34, 90, 26, 82, 18, 74, 10, 66)(5, 61, 8, 64, 16, 72, 24, 80, 32, 88, 40, 96, 48, 104, 54, 110, 51, 107, 44, 100, 36, 92, 28, 84, 20, 76, 12, 68)(9, 65, 17, 73, 25, 81, 33, 89, 41, 97, 49, 105, 55, 111, 56, 112, 52, 108, 45, 101, 37, 93, 29, 85, 21, 77, 13, 69)(113, 169, 115, 171, 121, 177, 120, 176, 114, 170, 119, 175, 129, 185, 128, 184, 118, 174, 127, 183, 137, 193, 136, 192, 126, 182, 135, 191, 145, 201, 144, 200, 134, 190, 143, 199, 153, 209, 152, 208, 142, 198, 151, 207, 161, 217, 160, 216, 150, 206, 159, 215, 167, 223, 166, 222, 158, 214, 165, 221, 168, 224, 163, 219, 155, 211, 162, 218, 164, 220, 156, 212, 147, 203, 154, 210, 157, 213, 148, 204, 139, 195, 146, 202, 149, 205, 140, 196, 131, 187, 138, 194, 141, 197, 132, 188, 123, 179, 130, 186, 133, 189, 124, 180, 116, 172, 122, 178, 125, 181, 117, 173)
	L = (1, 116)(2, 113)(3, 122)(4, 123)(5, 124)(6, 114)(7, 115)(8, 117)(9, 125)(10, 130)(11, 131)(12, 132)(13, 133)(14, 118)(15, 119)(16, 120)(17, 121)(18, 138)(19, 139)(20, 140)(21, 141)(22, 126)(23, 127)(24, 128)(25, 129)(26, 146)(27, 147)(28, 148)(29, 149)(30, 134)(31, 135)(32, 136)(33, 137)(34, 154)(35, 155)(36, 156)(37, 157)(38, 142)(39, 143)(40, 144)(41, 145)(42, 162)(43, 158)(44, 163)(45, 164)(46, 150)(47, 151)(48, 152)(49, 153)(50, 165)(51, 166)(52, 168)(53, 159)(54, 160)(55, 161)(56, 167)(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) :: { ( 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 E26.903
Graph:: bipartite
	v = 5 e = 112 f = 57
	degree seq :: [ 28^4, 112 ]

E26.892 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 56, 56})
Quotient :: dipole
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y3 * Y2 * Y1 * Y2^-1, (Y2^-1, Y1), (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, Y2^-3 * Y1^-1 * Y2^-1 * Y1^-4, Y2^3 * Y1 * Y2 * Y1 * Y3^-3, Y2^2 * Y1^-2 * Y3 * Y2^-2 * Y1 * Y3^-2, Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1 * 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 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 57, 2, 58, 6, 62, 14, 70, 26, 82, 41, 97, 45, 101, 54, 110, 47, 103, 33, 89, 37, 93, 22, 78, 11, 67, 4, 60)(3, 59, 7, 63, 15, 71, 27, 83, 40, 96, 25, 81, 32, 88, 44, 100, 53, 109, 46, 102, 50, 106, 36, 92, 21, 77, 10, 66)(5, 61, 8, 64, 16, 72, 28, 84, 42, 98, 51, 107, 55, 111, 48, 104, 34, 90, 19, 75, 31, 87, 38, 94, 23, 79, 12, 68)(9, 65, 17, 73, 29, 85, 39, 95, 24, 80, 13, 69, 18, 74, 30, 86, 43, 99, 52, 108, 56, 112, 49, 105, 35, 91, 20, 76)(113, 169, 115, 171, 121, 177, 131, 187, 145, 201, 158, 214, 164, 220, 154, 210, 138, 194, 152, 208, 136, 192, 124, 180, 116, 172, 122, 178, 132, 188, 146, 202, 159, 215, 165, 221, 155, 211, 140, 196, 126, 182, 139, 195, 151, 207, 135, 191, 123, 179, 133, 189, 147, 203, 160, 216, 166, 222, 156, 212, 142, 198, 128, 184, 118, 174, 127, 183, 141, 197, 150, 206, 134, 190, 148, 204, 161, 217, 167, 223, 157, 213, 144, 200, 130, 186, 120, 176, 114, 170, 119, 175, 129, 185, 143, 199, 149, 205, 162, 218, 168, 224, 163, 219, 153, 209, 137, 193, 125, 181, 117, 173)
	L = (1, 116)(2, 113)(3, 122)(4, 123)(5, 124)(6, 114)(7, 115)(8, 117)(9, 132)(10, 133)(11, 134)(12, 135)(13, 136)(14, 118)(15, 119)(16, 120)(17, 121)(18, 125)(19, 146)(20, 147)(21, 148)(22, 149)(23, 150)(24, 151)(25, 152)(26, 126)(27, 127)(28, 128)(29, 129)(30, 130)(31, 131)(32, 137)(33, 159)(34, 160)(35, 161)(36, 162)(37, 145)(38, 143)(39, 141)(40, 139)(41, 138)(42, 140)(43, 142)(44, 144)(45, 153)(46, 165)(47, 166)(48, 167)(49, 168)(50, 158)(51, 154)(52, 155)(53, 156)(54, 157)(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) :: { ( 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 E26.899
Graph:: bipartite
	v = 5 e = 112 f = 57
	degree seq :: [ 28^4, 112 ]

E26.893 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 56, 56})
Quotient :: dipole
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (Y3^-1, Y2^-1), (Y2, Y1^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^-1 * Y2^-1 * Y3^2 * Y2 * Y3^-1, Y2 * Y3^2 * Y2 * Y3^-1 * Y2^-2 * Y3^-1, Y3^-2 * Y2^-2 * Y1^-2 * Y2^2, Y2 * Y1^-1 * Y3^2 * Y2^2 * Y3 * Y1^-1 * Y2, Y3^4 * Y2^2 * Y1^-1 * Y2^2, Y2^-3 * Y1^2 * Y3^-1 * Y2^-1 * Y1^2, Y1 * Y2^2 * Y1 * Y2^5 * Y1^2 * Y2, Y3 * Y1^-2 * Y2^-2 * Y3 * Y2^-6, Y3 * Y1^-2 * Y3 * Y2^48, Y1^-1 * Y2^-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 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 57, 2, 58, 6, 62, 14, 70, 26, 82, 33, 89, 45, 101, 54, 110, 50, 106, 41, 97, 37, 93, 22, 78, 11, 67, 4, 60)(3, 59, 7, 63, 15, 71, 27, 83, 42, 98, 46, 102, 55, 111, 49, 105, 40, 96, 25, 81, 32, 88, 36, 92, 21, 77, 10, 66)(5, 61, 8, 64, 16, 72, 28, 84, 34, 90, 19, 75, 31, 87, 44, 100, 53, 109, 51, 107, 47, 103, 38, 94, 23, 79, 12, 68)(9, 65, 17, 73, 29, 85, 43, 99, 52, 108, 56, 112, 48, 104, 39, 95, 24, 80, 13, 69, 18, 74, 30, 86, 35, 91, 20, 76)(113, 169, 115, 171, 121, 177, 131, 187, 145, 201, 158, 214, 168, 224, 159, 215, 149, 205, 144, 200, 130, 186, 120, 176, 114, 170, 119, 175, 129, 185, 143, 199, 157, 213, 167, 223, 160, 216, 150, 206, 134, 190, 148, 204, 142, 198, 128, 184, 118, 174, 127, 183, 141, 197, 156, 212, 166, 222, 161, 217, 151, 207, 135, 191, 123, 179, 133, 189, 147, 203, 140, 196, 126, 182, 139, 195, 155, 211, 165, 221, 162, 218, 152, 208, 136, 192, 124, 180, 116, 172, 122, 178, 132, 188, 146, 202, 138, 194, 154, 210, 164, 220, 163, 219, 153, 209, 137, 193, 125, 181, 117, 173)
	L = (1, 116)(2, 113)(3, 122)(4, 123)(5, 124)(6, 114)(7, 115)(8, 117)(9, 132)(10, 133)(11, 134)(12, 135)(13, 136)(14, 118)(15, 119)(16, 120)(17, 121)(18, 125)(19, 146)(20, 147)(21, 148)(22, 149)(23, 150)(24, 151)(25, 152)(26, 126)(27, 127)(28, 128)(29, 129)(30, 130)(31, 131)(32, 137)(33, 138)(34, 140)(35, 142)(36, 144)(37, 153)(38, 159)(39, 160)(40, 161)(41, 162)(42, 139)(43, 141)(44, 143)(45, 145)(46, 154)(47, 163)(48, 168)(49, 167)(50, 166)(51, 165)(52, 155)(53, 156)(54, 157)(55, 158)(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) :: { ( 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 E26.902
Graph:: bipartite
	v = 5 e = 112 f = 57
	degree seq :: [ 28^4, 112 ]

E26.894 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 56, 56})
Quotient :: dipole
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y2 * Y3^-1 * Y2^-1 * Y1^-1, (Y3^-1, Y2^-1), (Y2, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^2 * Y1 * Y2^2 * Y1 * Y3^-1, Y2^2 * Y1^2 * Y2 * Y3^-1 * Y2, Y1^14, Y1^6 * Y2^-1 * Y1 * Y3^-4 * 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 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 14, 70, 26, 82, 34, 90, 42, 98, 50, 106, 49, 105, 41, 97, 33, 89, 22, 78, 11, 67, 4, 60)(3, 59, 7, 63, 15, 71, 25, 81, 29, 85, 37, 93, 45, 101, 53, 109, 56, 112, 48, 104, 40, 96, 32, 88, 21, 77, 10, 66)(5, 61, 8, 64, 16, 72, 27, 83, 35, 91, 43, 99, 51, 107, 54, 110, 46, 102, 38, 94, 30, 86, 19, 75, 23, 79, 12, 68)(9, 65, 17, 73, 24, 80, 13, 69, 18, 74, 28, 84, 36, 92, 44, 100, 52, 108, 55, 111, 47, 103, 39, 95, 31, 87, 20, 76)(113, 169, 115, 171, 121, 177, 131, 187, 134, 190, 144, 200, 151, 207, 158, 214, 161, 217, 168, 224, 164, 220, 155, 211, 146, 202, 149, 205, 140, 196, 128, 184, 118, 174, 127, 183, 136, 192, 124, 180, 116, 172, 122, 178, 132, 188, 142, 198, 145, 201, 152, 208, 159, 215, 166, 222, 162, 218, 165, 221, 156, 212, 147, 203, 138, 194, 141, 197, 130, 186, 120, 176, 114, 170, 119, 175, 129, 185, 135, 191, 123, 179, 133, 189, 143, 199, 150, 206, 153, 209, 160, 216, 167, 223, 163, 219, 154, 210, 157, 213, 148, 204, 139, 195, 126, 182, 137, 193, 125, 181, 117, 173)
	L = (1, 116)(2, 113)(3, 122)(4, 123)(5, 124)(6, 114)(7, 115)(8, 117)(9, 132)(10, 133)(11, 134)(12, 135)(13, 136)(14, 118)(15, 119)(16, 120)(17, 121)(18, 125)(19, 142)(20, 143)(21, 144)(22, 145)(23, 131)(24, 129)(25, 127)(26, 126)(27, 128)(28, 130)(29, 137)(30, 150)(31, 151)(32, 152)(33, 153)(34, 138)(35, 139)(36, 140)(37, 141)(38, 158)(39, 159)(40, 160)(41, 161)(42, 146)(43, 147)(44, 148)(45, 149)(46, 166)(47, 167)(48, 168)(49, 162)(50, 154)(51, 155)(52, 156)(53, 157)(54, 163)(55, 164)(56, 165)(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) :: { ( 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 E26.900
Graph:: bipartite
	v = 5 e = 112 f = 57
	degree seq :: [ 28^4, 112 ]

E26.895 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 56, 56})
Quotient :: dipole
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, Y2^3 * Y1^-1, R * Y2 * R * Y3, (R * Y1)^2, Y1 * Y2^-1 * Y1^18, (Y3^-1 * Y1^-1)^14 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 12, 68, 18, 74, 24, 80, 30, 86, 36, 92, 42, 98, 48, 104, 54, 110, 51, 107, 45, 101, 39, 95, 33, 89, 27, 83, 21, 77, 15, 71, 9, 65, 3, 59, 7, 63, 13, 69, 19, 75, 25, 81, 31, 87, 37, 93, 43, 99, 49, 105, 55, 111, 53, 109, 47, 103, 41, 97, 35, 91, 29, 85, 23, 79, 17, 73, 11, 67, 5, 61, 8, 64, 14, 70, 20, 76, 26, 82, 32, 88, 38, 94, 44, 100, 50, 106, 56, 112, 52, 108, 46, 102, 40, 96, 34, 90, 28, 84, 22, 78, 16, 72, 10, 66, 4, 60)(113, 169, 115, 171, 120, 176, 114, 170, 119, 175, 126, 182, 118, 174, 125, 181, 132, 188, 124, 180, 131, 187, 138, 194, 130, 186, 137, 193, 144, 200, 136, 192, 143, 199, 150, 206, 142, 198, 149, 205, 156, 212, 148, 204, 155, 211, 162, 218, 154, 210, 161, 217, 168, 224, 160, 216, 167, 223, 164, 220, 166, 222, 165, 221, 158, 214, 163, 219, 159, 215, 152, 208, 157, 213, 153, 209, 146, 202, 151, 207, 147, 203, 140, 196, 145, 201, 141, 197, 134, 190, 139, 195, 135, 191, 128, 184, 133, 189, 129, 185, 122, 178, 127, 183, 123, 179, 116, 172, 121, 177, 117, 173)
	L = (1, 115)(2, 119)(3, 120)(4, 121)(5, 113)(6, 125)(7, 126)(8, 114)(9, 117)(10, 127)(11, 116)(12, 131)(13, 132)(14, 118)(15, 123)(16, 133)(17, 122)(18, 137)(19, 138)(20, 124)(21, 129)(22, 139)(23, 128)(24, 143)(25, 144)(26, 130)(27, 135)(28, 145)(29, 134)(30, 149)(31, 150)(32, 136)(33, 141)(34, 151)(35, 140)(36, 155)(37, 156)(38, 142)(39, 147)(40, 157)(41, 146)(42, 161)(43, 162)(44, 148)(45, 153)(46, 163)(47, 152)(48, 167)(49, 168)(50, 154)(51, 159)(52, 166)(53, 158)(54, 165)(55, 164)(56, 160)(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) :: { ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28 ) }
Outer automorphisms :: reflexible
Dual of E26.897
Graph:: bipartite
	v = 2 e = 112 f = 60
	degree seq :: [ 112^2 ]

E26.896 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 56, 56})
Quotient :: dipole
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|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 * Y1 * Y2^4, Y1^-4 * Y2 * Y1^-7, (Y3^-1 * Y1^-1)^14 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 14, 70, 24, 80, 34, 90, 44, 100, 41, 97, 31, 87, 21, 77, 10, 66, 3, 59, 7, 63, 15, 71, 25, 81, 35, 91, 45, 101, 52, 108, 50, 106, 40, 96, 30, 86, 20, 76, 9, 65, 17, 73, 27, 83, 37, 93, 47, 103, 53, 109, 56, 112, 55, 111, 49, 105, 39, 95, 29, 85, 19, 75, 13, 69, 18, 74, 28, 84, 38, 94, 48, 104, 54, 110, 51, 107, 43, 99, 33, 89, 23, 79, 12, 68, 5, 61, 8, 64, 16, 72, 26, 82, 36, 92, 46, 102, 42, 98, 32, 88, 22, 78, 11, 67, 4, 60)(113, 169, 115, 171, 121, 177, 131, 187, 124, 180, 116, 172, 122, 178, 132, 188, 141, 197, 135, 191, 123, 179, 133, 189, 142, 198, 151, 207, 145, 201, 134, 190, 143, 199, 152, 208, 161, 217, 155, 211, 144, 200, 153, 209, 162, 218, 167, 223, 163, 219, 154, 210, 156, 212, 164, 220, 168, 224, 166, 222, 158, 214, 146, 202, 157, 213, 165, 221, 160, 216, 148, 204, 136, 192, 147, 203, 159, 215, 150, 206, 138, 194, 126, 182, 137, 193, 149, 205, 140, 196, 128, 184, 118, 174, 127, 183, 139, 195, 130, 186, 120, 176, 114, 170, 119, 175, 129, 185, 125, 181, 117, 173)
	L = (1, 115)(2, 119)(3, 121)(4, 122)(5, 113)(6, 127)(7, 129)(8, 114)(9, 131)(10, 132)(11, 133)(12, 116)(13, 117)(14, 137)(15, 139)(16, 118)(17, 125)(18, 120)(19, 124)(20, 141)(21, 142)(22, 143)(23, 123)(24, 147)(25, 149)(26, 126)(27, 130)(28, 128)(29, 135)(30, 151)(31, 152)(32, 153)(33, 134)(34, 157)(35, 159)(36, 136)(37, 140)(38, 138)(39, 145)(40, 161)(41, 162)(42, 156)(43, 144)(44, 164)(45, 165)(46, 146)(47, 150)(48, 148)(49, 155)(50, 167)(51, 154)(52, 168)(53, 160)(54, 158)(55, 163)(56, 166)(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) :: { ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28 ) }
Outer automorphisms :: reflexible
Dual of E26.898
Graph:: bipartite
	v = 2 e = 112 f = 60
	degree seq :: [ 112^2 ]

E26.897 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 56, 56})
Quotient :: dipole
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3, Y2), Y3^4 * Y2^-1, Y2^14, 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)^56 ]
Map::
	R = (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)(113, 169, 114, 170, 118, 174, 126, 182, 134, 190, 142, 198, 150, 206, 158, 214, 155, 211, 147, 203, 139, 195, 131, 187, 123, 179, 116, 172)(115, 171, 119, 175, 127, 183, 135, 191, 143, 199, 151, 207, 159, 215, 165, 221, 162, 218, 154, 210, 146, 202, 138, 194, 130, 186, 122, 178)(117, 173, 120, 176, 128, 184, 136, 192, 144, 200, 152, 208, 160, 216, 166, 222, 163, 219, 156, 212, 148, 204, 140, 196, 132, 188, 124, 180)(121, 177, 129, 185, 137, 193, 145, 201, 153, 209, 161, 217, 167, 223, 168, 224, 164, 220, 157, 213, 149, 205, 141, 197, 133, 189, 125, 181)
	L = (1, 115)(2, 119)(3, 121)(4, 122)(5, 113)(6, 127)(7, 129)(8, 114)(9, 120)(10, 125)(11, 130)(12, 116)(13, 117)(14, 135)(15, 137)(16, 118)(17, 128)(18, 133)(19, 138)(20, 123)(21, 124)(22, 143)(23, 145)(24, 126)(25, 136)(26, 141)(27, 146)(28, 131)(29, 132)(30, 151)(31, 153)(32, 134)(33, 144)(34, 149)(35, 154)(36, 139)(37, 140)(38, 159)(39, 161)(40, 142)(41, 152)(42, 157)(43, 162)(44, 147)(45, 148)(46, 165)(47, 167)(48, 150)(49, 160)(50, 164)(51, 155)(52, 156)(53, 168)(54, 158)(55, 166)(56, 163)(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) :: { ( 112, 112 ), ( 112^28 ) }
Outer automorphisms :: reflexible
Dual of E26.895
Graph:: simple bipartite
	v = 60 e = 112 f = 2
	degree seq :: [ 2^56, 28^4 ]

E26.898 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 56, 56})
Quotient :: dipole
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y2^-1), Y3^4 * Y2, Y2^14, (Y2^-1 * Y3)^56, (Y3^-1 * Y1^-1)^56 ]
Map::
	R = (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)(113, 169, 114, 170, 118, 174, 126, 182, 134, 190, 142, 198, 150, 206, 158, 214, 156, 212, 148, 204, 140, 196, 132, 188, 123, 179, 116, 172)(115, 171, 119, 175, 127, 183, 135, 191, 143, 199, 151, 207, 159, 215, 165, 221, 163, 219, 155, 211, 147, 203, 139, 195, 131, 187, 122, 178)(117, 173, 120, 176, 128, 184, 136, 192, 144, 200, 152, 208, 160, 216, 166, 222, 164, 220, 157, 213, 149, 205, 141, 197, 133, 189, 124, 180)(121, 177, 125, 181, 129, 185, 137, 193, 145, 201, 153, 209, 161, 217, 167, 223, 168, 224, 162, 218, 154, 210, 146, 202, 138, 194, 130, 186)
	L = (1, 115)(2, 119)(3, 121)(4, 122)(5, 113)(6, 127)(7, 125)(8, 114)(9, 124)(10, 130)(11, 131)(12, 116)(13, 117)(14, 135)(15, 129)(16, 118)(17, 120)(18, 133)(19, 138)(20, 139)(21, 123)(22, 143)(23, 137)(24, 126)(25, 128)(26, 141)(27, 146)(28, 147)(29, 132)(30, 151)(31, 145)(32, 134)(33, 136)(34, 149)(35, 154)(36, 155)(37, 140)(38, 159)(39, 153)(40, 142)(41, 144)(42, 157)(43, 162)(44, 163)(45, 148)(46, 165)(47, 161)(48, 150)(49, 152)(50, 164)(51, 168)(52, 156)(53, 167)(54, 158)(55, 160)(56, 166)(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) :: { ( 112, 112 ), ( 112^28 ) }
Outer automorphisms :: reflexible
Dual of E26.896
Graph:: simple bipartite
	v = 60 e = 112 f = 2
	degree seq :: [ 2^56, 28^4 ]

E26.899 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 56, 56})
Quotient :: dipole
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), Y3^-1 * Y1^4, (R * Y2 * Y3^-1)^2, Y3^14, (Y3 * Y2^-1)^14, (Y1^-1 * Y3^-1)^56 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 10, 66, 3, 59, 7, 63, 14, 70, 18, 74, 9, 65, 15, 71, 22, 78, 26, 82, 17, 73, 23, 79, 30, 86, 34, 90, 25, 81, 31, 87, 38, 94, 42, 98, 33, 89, 39, 95, 46, 102, 50, 106, 41, 97, 47, 103, 53, 109, 55, 111, 49, 105, 54, 110, 56, 112, 52, 108, 45, 101, 48, 104, 51, 107, 44, 100, 37, 93, 40, 96, 43, 99, 36, 92, 29, 85, 32, 88, 35, 91, 28, 84, 21, 77, 24, 80, 27, 83, 20, 76, 13, 69, 16, 72, 19, 75, 12, 68, 5, 61, 8, 64, 11, 67, 4, 60)(113, 169)(114, 170)(115, 171)(116, 172)(117, 173)(118, 174)(119, 175)(120, 176)(121, 177)(122, 178)(123, 179)(124, 180)(125, 181)(126, 182)(127, 183)(128, 184)(129, 185)(130, 186)(131, 187)(132, 188)(133, 189)(134, 190)(135, 191)(136, 192)(137, 193)(138, 194)(139, 195)(140, 196)(141, 197)(142, 198)(143, 199)(144, 200)(145, 201)(146, 202)(147, 203)(148, 204)(149, 205)(150, 206)(151, 207)(152, 208)(153, 209)(154, 210)(155, 211)(156, 212)(157, 213)(158, 214)(159, 215)(160, 216)(161, 217)(162, 218)(163, 219)(164, 220)(165, 221)(166, 222)(167, 223)(168, 224)
	L = (1, 115)(2, 119)(3, 121)(4, 122)(5, 113)(6, 126)(7, 127)(8, 114)(9, 129)(10, 130)(11, 118)(12, 116)(13, 117)(14, 134)(15, 135)(16, 120)(17, 137)(18, 138)(19, 123)(20, 124)(21, 125)(22, 142)(23, 143)(24, 128)(25, 145)(26, 146)(27, 131)(28, 132)(29, 133)(30, 150)(31, 151)(32, 136)(33, 153)(34, 154)(35, 139)(36, 140)(37, 141)(38, 158)(39, 159)(40, 144)(41, 161)(42, 162)(43, 147)(44, 148)(45, 149)(46, 165)(47, 166)(48, 152)(49, 157)(50, 167)(51, 155)(52, 156)(53, 168)(54, 160)(55, 164)(56, 163)(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) :: { ( 28, 112 ), ( 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112 ) }
Outer automorphisms :: reflexible
Dual of E26.892
Graph:: bipartite
	v = 57 e = 112 f = 5
	degree seq :: [ 2^56, 112 ]

E26.900 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 56, 56})
Quotient :: dipole
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1^-1), Y3 * Y1^4, (R * Y2 * Y3^-1)^2, Y3^14, (Y3 * Y2^-1)^14, 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^-2 * Y1 * Y3^-2 * Y1^2 * Y3^-1 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 12, 68, 5, 61, 8, 64, 14, 70, 20, 76, 13, 69, 16, 72, 22, 78, 28, 84, 21, 77, 24, 80, 30, 86, 36, 92, 29, 85, 32, 88, 38, 94, 44, 100, 37, 93, 40, 96, 46, 102, 52, 108, 45, 101, 48, 104, 53, 109, 55, 111, 49, 105, 54, 110, 56, 112, 50, 106, 41, 97, 47, 103, 51, 107, 42, 98, 33, 89, 39, 95, 43, 99, 34, 90, 25, 81, 31, 87, 35, 91, 26, 82, 17, 73, 23, 79, 27, 83, 18, 74, 9, 65, 15, 71, 19, 75, 10, 66, 3, 59, 7, 63, 11, 67, 4, 60)(113, 169)(114, 170)(115, 171)(116, 172)(117, 173)(118, 174)(119, 175)(120, 176)(121, 177)(122, 178)(123, 179)(124, 180)(125, 181)(126, 182)(127, 183)(128, 184)(129, 185)(130, 186)(131, 187)(132, 188)(133, 189)(134, 190)(135, 191)(136, 192)(137, 193)(138, 194)(139, 195)(140, 196)(141, 197)(142, 198)(143, 199)(144, 200)(145, 201)(146, 202)(147, 203)(148, 204)(149, 205)(150, 206)(151, 207)(152, 208)(153, 209)(154, 210)(155, 211)(156, 212)(157, 213)(158, 214)(159, 215)(160, 216)(161, 217)(162, 218)(163, 219)(164, 220)(165, 221)(166, 222)(167, 223)(168, 224)
	L = (1, 115)(2, 119)(3, 121)(4, 122)(5, 113)(6, 123)(7, 127)(8, 114)(9, 129)(10, 130)(11, 131)(12, 116)(13, 117)(14, 118)(15, 135)(16, 120)(17, 137)(18, 138)(19, 139)(20, 124)(21, 125)(22, 126)(23, 143)(24, 128)(25, 145)(26, 146)(27, 147)(28, 132)(29, 133)(30, 134)(31, 151)(32, 136)(33, 153)(34, 154)(35, 155)(36, 140)(37, 141)(38, 142)(39, 159)(40, 144)(41, 161)(42, 162)(43, 163)(44, 148)(45, 149)(46, 150)(47, 166)(48, 152)(49, 157)(50, 167)(51, 168)(52, 156)(53, 158)(54, 160)(55, 164)(56, 165)(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) :: { ( 28, 112 ), ( 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112 ) }
Outer automorphisms :: reflexible
Dual of E26.894
Graph:: bipartite
	v = 57 e = 112 f = 5
	degree seq :: [ 2^56, 112 ]

E26.901 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 56, 56})
Quotient :: dipole
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^3 * Y1^4, Y3^-14, Y3^14, Y3^-1 * Y1 * Y3^-4 * Y1^2 * Y3^-6 * Y1, (Y3 * Y2^-1)^14 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 14, 70, 25, 81, 28, 84, 35, 91, 42, 98, 49, 105, 52, 108, 55, 111, 46, 102, 37, 93, 40, 96, 31, 87, 20, 76, 9, 65, 17, 73, 23, 79, 12, 68, 5, 61, 8, 64, 16, 72, 26, 82, 33, 89, 36, 92, 43, 99, 50, 106, 53, 109, 56, 112, 47, 103, 38, 94, 29, 85, 32, 88, 21, 77, 10, 66, 3, 59, 7, 63, 15, 71, 24, 80, 13, 69, 18, 74, 27, 83, 34, 90, 41, 97, 44, 100, 51, 107, 54, 110, 45, 101, 48, 104, 39, 95, 30, 86, 19, 75, 22, 78, 11, 67, 4, 60)(113, 169)(114, 170)(115, 171)(116, 172)(117, 173)(118, 174)(119, 175)(120, 176)(121, 177)(122, 178)(123, 179)(124, 180)(125, 181)(126, 182)(127, 183)(128, 184)(129, 185)(130, 186)(131, 187)(132, 188)(133, 189)(134, 190)(135, 191)(136, 192)(137, 193)(138, 194)(139, 195)(140, 196)(141, 197)(142, 198)(143, 199)(144, 200)(145, 201)(146, 202)(147, 203)(148, 204)(149, 205)(150, 206)(151, 207)(152, 208)(153, 209)(154, 210)(155, 211)(156, 212)(157, 213)(158, 214)(159, 215)(160, 216)(161, 217)(162, 218)(163, 219)(164, 220)(165, 221)(166, 222)(167, 223)(168, 224)
	L = (1, 115)(2, 119)(3, 121)(4, 122)(5, 113)(6, 127)(7, 129)(8, 114)(9, 131)(10, 132)(11, 133)(12, 116)(13, 117)(14, 136)(15, 135)(16, 118)(17, 134)(18, 120)(19, 141)(20, 142)(21, 143)(22, 144)(23, 123)(24, 124)(25, 125)(26, 126)(27, 128)(28, 130)(29, 149)(30, 150)(31, 151)(32, 152)(33, 137)(34, 138)(35, 139)(36, 140)(37, 157)(38, 158)(39, 159)(40, 160)(41, 145)(42, 146)(43, 147)(44, 148)(45, 165)(46, 166)(47, 167)(48, 168)(49, 153)(50, 154)(51, 155)(52, 156)(53, 161)(54, 162)(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) :: { ( 28, 112 ), ( 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112 ) }
Outer automorphisms :: reflexible
Dual of E26.890
Graph:: bipartite
	v = 57 e = 112 f = 5
	degree seq :: [ 2^56, 112 ]

E26.902 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 56, 56})
Quotient :: dipole
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1^-1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^4 * Y3^-5, Y1^-4 * Y3^-1 * Y1^-1 * Y3^-3 * Y1^-3, Y3^3 * Y1^20, (Y3 * Y2^-1)^14, Y1^-2 * Y3^2 * Y1 * Y3^4 * Y1 * Y3^4 * Y1 * Y3^4 * Y1 * Y3^4 * Y1 * Y3^4 * Y1 * 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 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * 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, 57, 2, 58, 6, 62, 14, 70, 26, 82, 42, 98, 52, 108, 51, 107, 41, 97, 36, 92, 21, 77, 10, 66, 3, 59, 7, 63, 15, 71, 27, 83, 43, 99, 53, 109, 50, 106, 40, 96, 25, 81, 32, 88, 35, 91, 20, 76, 9, 65, 17, 73, 29, 85, 44, 100, 54, 110, 49, 105, 39, 95, 24, 80, 13, 69, 18, 74, 30, 86, 34, 90, 19, 75, 31, 87, 45, 101, 55, 111, 48, 104, 38, 94, 23, 79, 12, 68, 5, 61, 8, 64, 16, 72, 28, 84, 33, 89, 46, 102, 56, 112, 47, 103, 37, 93, 22, 78, 11, 67, 4, 60)(113, 169)(114, 170)(115, 171)(116, 172)(117, 173)(118, 174)(119, 175)(120, 176)(121, 177)(122, 178)(123, 179)(124, 180)(125, 181)(126, 182)(127, 183)(128, 184)(129, 185)(130, 186)(131, 187)(132, 188)(133, 189)(134, 190)(135, 191)(136, 192)(137, 193)(138, 194)(139, 195)(140, 196)(141, 197)(142, 198)(143, 199)(144, 200)(145, 201)(146, 202)(147, 203)(148, 204)(149, 205)(150, 206)(151, 207)(152, 208)(153, 209)(154, 210)(155, 211)(156, 212)(157, 213)(158, 214)(159, 215)(160, 216)(161, 217)(162, 218)(163, 219)(164, 220)(165, 221)(166, 222)(167, 223)(168, 224)
	L = (1, 115)(2, 119)(3, 121)(4, 122)(5, 113)(6, 127)(7, 129)(8, 114)(9, 131)(10, 132)(11, 133)(12, 116)(13, 117)(14, 139)(15, 141)(16, 118)(17, 143)(18, 120)(19, 145)(20, 146)(21, 147)(22, 148)(23, 123)(24, 124)(25, 125)(26, 155)(27, 156)(28, 126)(29, 157)(30, 128)(31, 158)(32, 130)(33, 138)(34, 140)(35, 142)(36, 144)(37, 153)(38, 134)(39, 135)(40, 136)(41, 137)(42, 165)(43, 166)(44, 167)(45, 168)(46, 154)(47, 163)(48, 149)(49, 150)(50, 151)(51, 152)(52, 162)(53, 161)(54, 160)(55, 159)(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) :: { ( 28, 112 ), ( 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112 ) }
Outer automorphisms :: reflexible
Dual of E26.893
Graph:: bipartite
	v = 57 e = 112 f = 5
	degree seq :: [ 2^56, 112 ]

E26.903 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 56, 56})
Quotient :: dipole
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1^-1, Y3), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3^-2 * Y1^-2 * Y3^-3, Y3 * Y1^-1 * Y3 * Y1^-3 * Y3^2 * Y1^-4, Y3^2 * Y1^4 * Y3^-2 * Y1^-4, (Y3 * Y2^-1)^14, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^2 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 14, 70, 26, 82, 42, 98, 52, 108, 47, 103, 33, 89, 38, 94, 23, 79, 12, 68, 5, 61, 8, 64, 16, 72, 28, 84, 43, 99, 53, 109, 48, 104, 34, 90, 19, 75, 31, 87, 39, 95, 24, 80, 13, 69, 18, 74, 30, 86, 44, 100, 54, 110, 49, 105, 35, 91, 20, 76, 9, 65, 17, 73, 29, 85, 40, 96, 25, 81, 32, 88, 45, 101, 55, 111, 50, 106, 36, 92, 21, 77, 10, 66, 3, 59, 7, 63, 15, 71, 27, 83, 41, 97, 46, 102, 56, 112, 51, 107, 37, 93, 22, 78, 11, 67, 4, 60)(113, 169)(114, 170)(115, 171)(116, 172)(117, 173)(118, 174)(119, 175)(120, 176)(121, 177)(122, 178)(123, 179)(124, 180)(125, 181)(126, 182)(127, 183)(128, 184)(129, 185)(130, 186)(131, 187)(132, 188)(133, 189)(134, 190)(135, 191)(136, 192)(137, 193)(138, 194)(139, 195)(140, 196)(141, 197)(142, 198)(143, 199)(144, 200)(145, 201)(146, 202)(147, 203)(148, 204)(149, 205)(150, 206)(151, 207)(152, 208)(153, 209)(154, 210)(155, 211)(156, 212)(157, 213)(158, 214)(159, 215)(160, 216)(161, 217)(162, 218)(163, 219)(164, 220)(165, 221)(166, 222)(167, 223)(168, 224)
	L = (1, 115)(2, 119)(3, 121)(4, 122)(5, 113)(6, 127)(7, 129)(8, 114)(9, 131)(10, 132)(11, 133)(12, 116)(13, 117)(14, 139)(15, 141)(16, 118)(17, 143)(18, 120)(19, 145)(20, 146)(21, 147)(22, 148)(23, 123)(24, 124)(25, 125)(26, 153)(27, 152)(28, 126)(29, 151)(30, 128)(31, 150)(32, 130)(33, 149)(34, 159)(35, 160)(36, 161)(37, 162)(38, 134)(39, 135)(40, 136)(41, 137)(42, 158)(43, 138)(44, 140)(45, 142)(46, 144)(47, 163)(48, 164)(49, 165)(50, 166)(51, 167)(52, 168)(53, 154)(54, 155)(55, 156)(56, 157)(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) :: { ( 28, 112 ), ( 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112, 28, 112 ) }
Outer automorphisms :: reflexible
Dual of E26.891
Graph:: bipartite
	v = 57 e = 112 f = 5
	degree seq :: [ 2^56, 112 ]

E26.904 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 6})
Quotient :: edge^2
Aut^+ = C15 : C4 (small group id <60, 7>)
Aut   = S3 x (C5 : C4) (small group id <120, 36>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-2 * Y1^-1, Y1^4, Y2 * Y3^-2 * Y1, Y2 * Y1^-2 * Y2, Y1 * Y3^2 * Y2, R * Y1 * R * Y2, (R * Y3)^2, (Y1^-1 * Y2^-1)^3, Y1 * Y2^-1 * Y1 * Y3^-2 * Y2^-1, Y3 * Y1 * Y3 * Y2^-2 * Y3^-1 * Y2, Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3 * Y2, Y2^-1 * Y3^-1 * Y2^2 * Y3 * Y1^-1 * Y3^-1, (Y3^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 61, 4, 64, 9, 69, 28, 88, 13, 73, 7, 67)(2, 62, 10, 70, 6, 66, 22, 82, 27, 87, 12, 72)(3, 63, 14, 74, 29, 89, 21, 81, 5, 65, 16, 76)(8, 68, 25, 85, 11, 71, 34, 94, 15, 75, 26, 86)(17, 77, 44, 104, 20, 80, 51, 111, 24, 84, 46, 106)(18, 78, 47, 107, 23, 83, 50, 110, 19, 79, 49, 109)(30, 90, 55, 115, 33, 93, 57, 117, 36, 96, 56, 116)(31, 91, 38, 98, 35, 95, 41, 101, 32, 92, 39, 99)(37, 97, 43, 103, 40, 100, 45, 105, 42, 102, 48, 108)(52, 112, 58, 118, 53, 113, 59, 119, 54, 114, 60, 120)(121, 122, 128, 125)(123, 133, 126, 135)(124, 137, 163, 139)(127, 140, 168, 138)(129, 147, 131, 149)(130, 150, 166, 152)(132, 153, 171, 151)(134, 157, 178, 159)(136, 160, 180, 158)(141, 162, 179, 161)(142, 156, 164, 155)(143, 148, 144, 165)(145, 172, 176, 167)(146, 173, 177, 170)(154, 174, 175, 169)(181, 183, 188, 186)(182, 189, 185, 191)(184, 198, 223, 200)(187, 203, 228, 204)(190, 211, 226, 213)(192, 215, 231, 216)(193, 209, 195, 207)(194, 218, 238, 220)(196, 221, 240, 222)(197, 208, 199, 225)(201, 219, 239, 217)(202, 212, 224, 210)(205, 230, 236, 233)(206, 229, 237, 234)(214, 227, 235, 232)
	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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E26.911
Graph:: simple bipartite
	v = 40 e = 120 f = 30
	degree seq :: [ 4^30, 12^10 ]

E26.905 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 6})
Quotient :: edge^2
Aut^+ = C15 : C4 (small group id <60, 7>)
Aut   = S3 x (C5 : C4) (small group id <120, 36>)
|r| :: 2
Presentation :: [ R^2, Y2^4, Y3 * Y2 * Y1 * Y3, Y1^4, Y2^2 * Y1^2, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2 * Y1^-1 * Y2^2 * Y3, Y2^-1 * Y3 * Y1 * Y2 * Y3 * Y1^-1, (Y2^-1 * Y1^-1)^3, Y2^2 * Y1^-1 * Y2 * Y3^-2, Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y3^-1, Y3 * Y1^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1, Y1^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1, Y2^-1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y2^-1, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 61, 4, 64, 9, 69, 28, 88, 13, 73, 7, 67)(2, 62, 10, 70, 6, 66, 22, 82, 27, 87, 12, 72)(3, 63, 14, 74, 29, 89, 21, 81, 5, 65, 16, 76)(8, 68, 25, 85, 11, 71, 34, 94, 15, 75, 26, 86)(17, 77, 44, 104, 20, 80, 51, 111, 24, 84, 46, 106)(18, 78, 47, 107, 23, 83, 50, 110, 19, 79, 49, 109)(30, 90, 37, 97, 33, 93, 40, 100, 36, 96, 42, 102)(31, 91, 48, 108, 35, 95, 43, 103, 32, 92, 45, 105)(38, 98, 58, 118, 41, 101, 60, 120, 39, 99, 59, 119)(52, 112, 57, 117, 54, 114, 55, 115, 53, 113, 56, 116)(121, 122, 128, 125)(123, 133, 126, 135)(124, 137, 163, 139)(127, 140, 168, 138)(129, 147, 131, 149)(130, 150, 175, 152)(132, 153, 177, 151)(134, 157, 169, 159)(136, 160, 170, 158)(141, 162, 167, 161)(142, 156, 176, 155)(143, 148, 144, 165)(145, 171, 179, 173)(146, 166, 180, 172)(154, 164, 178, 174)(181, 183, 188, 186)(182, 189, 185, 191)(184, 198, 223, 200)(187, 203, 228, 204)(190, 211, 235, 213)(192, 215, 237, 216)(193, 209, 195, 207)(194, 218, 229, 220)(196, 221, 230, 222)(197, 208, 199, 225)(201, 219, 227, 217)(202, 212, 236, 210)(205, 232, 239, 226)(206, 234, 240, 224)(214, 233, 238, 231)
	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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E26.910
Graph:: simple bipartite
	v = 40 e = 120 f = 30
	degree seq :: [ 4^30, 12^10 ]

E26.906 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 6})
Quotient :: edge^2
Aut^+ = C15 : C4 (small group id <60, 7>)
Aut   = S3 x (C5 : C4) (small group id <120, 36>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-2 * Y2, Y2^4, Y1^-2 * Y2^-2, (R * Y3)^2, R * Y1 * R * Y2, Y1^-1 * Y2^-1 * Y3 * Y2 * Y1 * Y3, Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 61, 4, 64)(2, 62, 9, 69)(3, 63, 12, 72)(5, 65, 18, 78)(6, 66, 19, 79)(7, 67, 20, 80)(8, 68, 22, 82)(10, 70, 28, 88)(11, 71, 29, 89)(13, 73, 34, 94)(14, 74, 36, 96)(15, 75, 38, 98)(16, 76, 40, 100)(17, 77, 41, 101)(21, 81, 48, 108)(23, 83, 51, 111)(24, 84, 52, 112)(25, 85, 42, 102)(26, 86, 31, 91)(27, 87, 54, 114)(30, 90, 39, 99)(32, 92, 45, 105)(33, 93, 35, 95)(37, 97, 43, 103)(44, 104, 60, 120)(46, 106, 59, 119)(47, 107, 57, 117)(49, 109, 53, 113)(50, 110, 56, 116)(55, 115, 58, 118)(121, 122, 127, 125)(123, 131, 126, 133)(124, 134, 155, 136)(128, 141, 130, 143)(129, 144, 156, 146)(132, 150, 177, 152)(135, 149, 137, 159)(138, 153, 179, 151)(139, 164, 161, 165)(140, 166, 172, 160)(142, 169, 157, 170)(145, 168, 147, 173)(148, 175, 174, 176)(154, 167, 180, 158)(162, 171, 163, 178)(181, 183, 187, 186)(182, 188, 185, 190)(184, 195, 215, 197)(189, 205, 216, 207)(191, 203, 193, 201)(192, 211, 237, 213)(194, 202, 196, 217)(198, 222, 239, 223)(199, 206, 221, 204)(200, 218, 232, 227)(208, 220, 234, 226)(209, 230, 219, 229)(210, 231, 212, 238)(214, 236, 240, 235)(224, 228, 225, 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) :: { ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E26.909
Graph:: simple bipartite
	v = 60 e = 120 f = 10
	degree seq :: [ 4^60 ]

E26.907 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 6})
Quotient :: edge^2
Aut^+ = C15 : C4 (small group id <60, 7>)
Aut   = S3 x (C5 : C4) (small group id <120, 36>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y2^2 * Y1, Y2^4, Y1^-2 * Y2^2, (R * Y3)^2, R * Y1 * R * Y2, Y2^-1 * Y3 * Y2 * Y1 * Y3 * Y1^-1, Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1, Y2^-2 * Y3 * Y2^-1 * Y3 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 61, 4, 64)(2, 62, 9, 69)(3, 63, 12, 72)(5, 65, 18, 78)(6, 66, 19, 79)(7, 67, 20, 80)(8, 68, 22, 82)(10, 70, 28, 88)(11, 71, 29, 89)(13, 73, 34, 94)(14, 74, 36, 96)(15, 75, 38, 98)(16, 76, 40, 100)(17, 77, 41, 101)(21, 81, 48, 108)(23, 83, 51, 111)(24, 84, 33, 93)(25, 85, 37, 97)(26, 86, 35, 95)(27, 87, 43, 103)(30, 90, 44, 104)(31, 91, 58, 118)(32, 92, 59, 119)(39, 99, 45, 105)(42, 102, 60, 120)(46, 106, 53, 113)(47, 107, 52, 112)(49, 109, 55, 115)(50, 110, 57, 117)(54, 114, 56, 116)(121, 122, 127, 125)(123, 131, 126, 133)(124, 134, 155, 136)(128, 141, 130, 143)(129, 144, 172, 146)(132, 150, 158, 152)(135, 149, 137, 159)(138, 153, 160, 151)(139, 164, 173, 165)(140, 156, 178, 167)(142, 169, 157, 170)(145, 168, 147, 174)(148, 175, 180, 176)(154, 161, 179, 166)(162, 171, 163, 177)(181, 183, 187, 186)(182, 188, 185, 190)(184, 195, 215, 197)(189, 205, 232, 207)(191, 203, 193, 201)(192, 211, 218, 213)(194, 202, 196, 217)(198, 222, 220, 223)(199, 206, 233, 204)(200, 226, 238, 221)(208, 227, 240, 216)(209, 230, 219, 229)(210, 231, 212, 237)(214, 236, 239, 235)(224, 228, 225, 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) :: { ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E26.908
Graph:: simple bipartite
	v = 60 e = 120 f = 10
	degree seq :: [ 4^60 ]

E26.908 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 6})
Quotient :: loop^2
Aut^+ = C15 : C4 (small group id <60, 7>)
Aut   = S3 x (C5 : C4) (small group id <120, 36>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-2 * Y1^-1, Y1^4, Y2 * Y3^-2 * Y1, Y2 * Y1^-2 * Y2, Y1 * Y3^2 * Y2, R * Y1 * R * Y2, (R * Y3)^2, (Y1^-1 * Y2^-1)^3, Y1 * Y2^-1 * Y1 * Y3^-2 * Y2^-1, Y3 * Y1 * Y3 * Y2^-2 * Y3^-1 * Y2, Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3 * Y2, Y2^-1 * Y3^-1 * Y2^2 * Y3 * Y1^-1 * Y3^-1, (Y3^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 61, 121, 181, 4, 64, 124, 184, 9, 69, 129, 189, 28, 88, 148, 208, 13, 73, 133, 193, 7, 67, 127, 187)(2, 62, 122, 182, 10, 70, 130, 190, 6, 66, 126, 186, 22, 82, 142, 202, 27, 87, 147, 207, 12, 72, 132, 192)(3, 63, 123, 183, 14, 74, 134, 194, 29, 89, 149, 209, 21, 81, 141, 201, 5, 65, 125, 185, 16, 76, 136, 196)(8, 68, 128, 188, 25, 85, 145, 205, 11, 71, 131, 191, 34, 94, 154, 214, 15, 75, 135, 195, 26, 86, 146, 206)(17, 77, 137, 197, 44, 104, 164, 224, 20, 80, 140, 200, 51, 111, 171, 231, 24, 84, 144, 204, 46, 106, 166, 226)(18, 78, 138, 198, 47, 107, 167, 227, 23, 83, 143, 203, 50, 110, 170, 230, 19, 79, 139, 199, 49, 109, 169, 229)(30, 90, 150, 210, 55, 115, 175, 235, 33, 93, 153, 213, 57, 117, 177, 237, 36, 96, 156, 216, 56, 116, 176, 236)(31, 91, 151, 211, 38, 98, 158, 218, 35, 95, 155, 215, 41, 101, 161, 221, 32, 92, 152, 212, 39, 99, 159, 219)(37, 97, 157, 217, 43, 103, 163, 223, 40, 100, 160, 220, 45, 105, 165, 225, 42, 102, 162, 222, 48, 108, 168, 228)(52, 112, 172, 232, 58, 118, 178, 238, 53, 113, 173, 233, 59, 119, 179, 239, 54, 114, 174, 234, 60, 120, 180, 240)
	L = (1, 62)(2, 68)(3, 73)(4, 77)(5, 61)(6, 75)(7, 80)(8, 65)(9, 87)(10, 90)(11, 89)(12, 93)(13, 66)(14, 97)(15, 63)(16, 100)(17, 103)(18, 67)(19, 64)(20, 108)(21, 102)(22, 96)(23, 88)(24, 105)(25, 112)(26, 113)(27, 71)(28, 84)(29, 69)(30, 106)(31, 72)(32, 70)(33, 111)(34, 114)(35, 82)(36, 104)(37, 118)(38, 76)(39, 74)(40, 120)(41, 81)(42, 119)(43, 79)(44, 95)(45, 83)(46, 92)(47, 85)(48, 78)(49, 94)(50, 86)(51, 91)(52, 116)(53, 117)(54, 115)(55, 109)(56, 107)(57, 110)(58, 99)(59, 101)(60, 98)(121, 183)(122, 189)(123, 188)(124, 198)(125, 191)(126, 181)(127, 203)(128, 186)(129, 185)(130, 211)(131, 182)(132, 215)(133, 209)(134, 218)(135, 207)(136, 221)(137, 208)(138, 223)(139, 225)(140, 184)(141, 219)(142, 212)(143, 228)(144, 187)(145, 230)(146, 229)(147, 193)(148, 199)(149, 195)(150, 202)(151, 226)(152, 224)(153, 190)(154, 227)(155, 231)(156, 192)(157, 201)(158, 238)(159, 239)(160, 194)(161, 240)(162, 196)(163, 200)(164, 210)(165, 197)(166, 213)(167, 235)(168, 204)(169, 237)(170, 236)(171, 216)(172, 214)(173, 205)(174, 206)(175, 232)(176, 233)(177, 234)(178, 220)(179, 217)(180, 222)
	local type(s) :: { ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E26.907
Transitivity :: VT+
Graph:: bipartite
	v = 10 e = 120 f = 60
	degree seq :: [ 24^10 ]

E26.909 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 6})
Quotient :: loop^2
Aut^+ = C15 : C4 (small group id <60, 7>)
Aut   = S3 x (C5 : C4) (small group id <120, 36>)
|r| :: 2
Presentation :: [ R^2, Y2^4, Y3 * Y2 * Y1 * Y3, Y1^4, Y2^2 * Y1^2, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2 * Y1^-1 * Y2^2 * Y3, Y2^-1 * Y3 * Y1 * Y2 * Y3 * Y1^-1, (Y2^-1 * Y1^-1)^3, Y2^2 * Y1^-1 * Y2 * Y3^-2, Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y3^-1, Y3 * Y1^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1, Y1^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1, Y2^-1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y2^-1, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 61, 121, 181, 4, 64, 124, 184, 9, 69, 129, 189, 28, 88, 148, 208, 13, 73, 133, 193, 7, 67, 127, 187)(2, 62, 122, 182, 10, 70, 130, 190, 6, 66, 126, 186, 22, 82, 142, 202, 27, 87, 147, 207, 12, 72, 132, 192)(3, 63, 123, 183, 14, 74, 134, 194, 29, 89, 149, 209, 21, 81, 141, 201, 5, 65, 125, 185, 16, 76, 136, 196)(8, 68, 128, 188, 25, 85, 145, 205, 11, 71, 131, 191, 34, 94, 154, 214, 15, 75, 135, 195, 26, 86, 146, 206)(17, 77, 137, 197, 44, 104, 164, 224, 20, 80, 140, 200, 51, 111, 171, 231, 24, 84, 144, 204, 46, 106, 166, 226)(18, 78, 138, 198, 47, 107, 167, 227, 23, 83, 143, 203, 50, 110, 170, 230, 19, 79, 139, 199, 49, 109, 169, 229)(30, 90, 150, 210, 37, 97, 157, 217, 33, 93, 153, 213, 40, 100, 160, 220, 36, 96, 156, 216, 42, 102, 162, 222)(31, 91, 151, 211, 48, 108, 168, 228, 35, 95, 155, 215, 43, 103, 163, 223, 32, 92, 152, 212, 45, 105, 165, 225)(38, 98, 158, 218, 58, 118, 178, 238, 41, 101, 161, 221, 60, 120, 180, 240, 39, 99, 159, 219, 59, 119, 179, 239)(52, 112, 172, 232, 57, 117, 177, 237, 54, 114, 174, 234, 55, 115, 175, 235, 53, 113, 173, 233, 56, 116, 176, 236)
	L = (1, 62)(2, 68)(3, 73)(4, 77)(5, 61)(6, 75)(7, 80)(8, 65)(9, 87)(10, 90)(11, 89)(12, 93)(13, 66)(14, 97)(15, 63)(16, 100)(17, 103)(18, 67)(19, 64)(20, 108)(21, 102)(22, 96)(23, 88)(24, 105)(25, 111)(26, 106)(27, 71)(28, 84)(29, 69)(30, 115)(31, 72)(32, 70)(33, 117)(34, 104)(35, 82)(36, 116)(37, 109)(38, 76)(39, 74)(40, 110)(41, 81)(42, 107)(43, 79)(44, 118)(45, 83)(46, 120)(47, 101)(48, 78)(49, 99)(50, 98)(51, 119)(52, 86)(53, 85)(54, 94)(55, 92)(56, 95)(57, 91)(58, 114)(59, 113)(60, 112)(121, 183)(122, 189)(123, 188)(124, 198)(125, 191)(126, 181)(127, 203)(128, 186)(129, 185)(130, 211)(131, 182)(132, 215)(133, 209)(134, 218)(135, 207)(136, 221)(137, 208)(138, 223)(139, 225)(140, 184)(141, 219)(142, 212)(143, 228)(144, 187)(145, 232)(146, 234)(147, 193)(148, 199)(149, 195)(150, 202)(151, 235)(152, 236)(153, 190)(154, 233)(155, 237)(156, 192)(157, 201)(158, 229)(159, 227)(160, 194)(161, 230)(162, 196)(163, 200)(164, 206)(165, 197)(166, 205)(167, 217)(168, 204)(169, 220)(170, 222)(171, 214)(172, 239)(173, 238)(174, 240)(175, 213)(176, 210)(177, 216)(178, 231)(179, 226)(180, 224)
	local type(s) :: { ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E26.906
Transitivity :: VT+
Graph:: bipartite
	v = 10 e = 120 f = 60
	degree seq :: [ 24^10 ]

E26.910 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 6})
Quotient :: loop^2
Aut^+ = C15 : C4 (small group id <60, 7>)
Aut   = S3 x (C5 : C4) (small group id <120, 36>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-2 * Y2, Y2^4, Y1^-2 * Y2^-2, (R * Y3)^2, R * Y1 * R * Y2, Y1^-1 * Y2^-1 * Y3 * Y2 * Y1 * Y3, Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 61, 121, 181, 4, 64, 124, 184)(2, 62, 122, 182, 9, 69, 129, 189)(3, 63, 123, 183, 12, 72, 132, 192)(5, 65, 125, 185, 18, 78, 138, 198)(6, 66, 126, 186, 19, 79, 139, 199)(7, 67, 127, 187, 20, 80, 140, 200)(8, 68, 128, 188, 22, 82, 142, 202)(10, 70, 130, 190, 28, 88, 148, 208)(11, 71, 131, 191, 29, 89, 149, 209)(13, 73, 133, 193, 34, 94, 154, 214)(14, 74, 134, 194, 36, 96, 156, 216)(15, 75, 135, 195, 38, 98, 158, 218)(16, 76, 136, 196, 40, 100, 160, 220)(17, 77, 137, 197, 41, 101, 161, 221)(21, 81, 141, 201, 48, 108, 168, 228)(23, 83, 143, 203, 51, 111, 171, 231)(24, 84, 144, 204, 52, 112, 172, 232)(25, 85, 145, 205, 42, 102, 162, 222)(26, 86, 146, 206, 31, 91, 151, 211)(27, 87, 147, 207, 54, 114, 174, 234)(30, 90, 150, 210, 39, 99, 159, 219)(32, 92, 152, 212, 45, 105, 165, 225)(33, 93, 153, 213, 35, 95, 155, 215)(37, 97, 157, 217, 43, 103, 163, 223)(44, 104, 164, 224, 60, 120, 180, 240)(46, 106, 166, 226, 59, 119, 179, 239)(47, 107, 167, 227, 57, 117, 177, 237)(49, 109, 169, 229, 53, 113, 173, 233)(50, 110, 170, 230, 56, 116, 176, 236)(55, 115, 175, 235, 58, 118, 178, 238)
	L = (1, 62)(2, 67)(3, 71)(4, 74)(5, 61)(6, 73)(7, 65)(8, 81)(9, 84)(10, 83)(11, 66)(12, 90)(13, 63)(14, 95)(15, 89)(16, 64)(17, 99)(18, 93)(19, 104)(20, 106)(21, 70)(22, 109)(23, 68)(24, 96)(25, 108)(26, 69)(27, 113)(28, 115)(29, 77)(30, 117)(31, 78)(32, 72)(33, 119)(34, 107)(35, 76)(36, 86)(37, 110)(38, 94)(39, 75)(40, 80)(41, 105)(42, 111)(43, 118)(44, 101)(45, 79)(46, 112)(47, 120)(48, 87)(49, 97)(50, 82)(51, 103)(52, 100)(53, 85)(54, 116)(55, 114)(56, 88)(57, 92)(58, 102)(59, 91)(60, 98)(121, 183)(122, 188)(123, 187)(124, 195)(125, 190)(126, 181)(127, 186)(128, 185)(129, 205)(130, 182)(131, 203)(132, 211)(133, 201)(134, 202)(135, 215)(136, 217)(137, 184)(138, 222)(139, 206)(140, 218)(141, 191)(142, 196)(143, 193)(144, 199)(145, 216)(146, 221)(147, 189)(148, 220)(149, 230)(150, 231)(151, 237)(152, 238)(153, 192)(154, 236)(155, 197)(156, 207)(157, 194)(158, 232)(159, 229)(160, 234)(161, 204)(162, 239)(163, 198)(164, 228)(165, 233)(166, 208)(167, 200)(168, 225)(169, 209)(170, 219)(171, 212)(172, 227)(173, 224)(174, 226)(175, 214)(176, 240)(177, 213)(178, 210)(179, 223)(180, 235)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E26.905
Transitivity :: VT+
Graph:: simple bipartite
	v = 30 e = 120 f = 40
	degree seq :: [ 8^30 ]

E26.911 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 6})
Quotient :: loop^2
Aut^+ = C15 : C4 (small group id <60, 7>)
Aut   = S3 x (C5 : C4) (small group id <120, 36>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y2^2 * Y1, Y2^4, Y1^-2 * Y2^2, (R * Y3)^2, R * Y1 * R * Y2, Y2^-1 * Y3 * Y2 * Y1 * Y3 * Y1^-1, Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1, Y2^-2 * Y3 * Y2^-1 * Y3 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 61, 121, 181, 4, 64, 124, 184)(2, 62, 122, 182, 9, 69, 129, 189)(3, 63, 123, 183, 12, 72, 132, 192)(5, 65, 125, 185, 18, 78, 138, 198)(6, 66, 126, 186, 19, 79, 139, 199)(7, 67, 127, 187, 20, 80, 140, 200)(8, 68, 128, 188, 22, 82, 142, 202)(10, 70, 130, 190, 28, 88, 148, 208)(11, 71, 131, 191, 29, 89, 149, 209)(13, 73, 133, 193, 34, 94, 154, 214)(14, 74, 134, 194, 36, 96, 156, 216)(15, 75, 135, 195, 38, 98, 158, 218)(16, 76, 136, 196, 40, 100, 160, 220)(17, 77, 137, 197, 41, 101, 161, 221)(21, 81, 141, 201, 48, 108, 168, 228)(23, 83, 143, 203, 51, 111, 171, 231)(24, 84, 144, 204, 33, 93, 153, 213)(25, 85, 145, 205, 37, 97, 157, 217)(26, 86, 146, 206, 35, 95, 155, 215)(27, 87, 147, 207, 43, 103, 163, 223)(30, 90, 150, 210, 44, 104, 164, 224)(31, 91, 151, 211, 58, 118, 178, 238)(32, 92, 152, 212, 59, 119, 179, 239)(39, 99, 159, 219, 45, 105, 165, 225)(42, 102, 162, 222, 60, 120, 180, 240)(46, 106, 166, 226, 53, 113, 173, 233)(47, 107, 167, 227, 52, 112, 172, 232)(49, 109, 169, 229, 55, 115, 175, 235)(50, 110, 170, 230, 57, 117, 177, 237)(54, 114, 174, 234, 56, 116, 176, 236)
	L = (1, 62)(2, 67)(3, 71)(4, 74)(5, 61)(6, 73)(7, 65)(8, 81)(9, 84)(10, 83)(11, 66)(12, 90)(13, 63)(14, 95)(15, 89)(16, 64)(17, 99)(18, 93)(19, 104)(20, 96)(21, 70)(22, 109)(23, 68)(24, 112)(25, 108)(26, 69)(27, 114)(28, 115)(29, 77)(30, 98)(31, 78)(32, 72)(33, 100)(34, 101)(35, 76)(36, 118)(37, 110)(38, 92)(39, 75)(40, 91)(41, 119)(42, 111)(43, 117)(44, 113)(45, 79)(46, 94)(47, 80)(48, 87)(49, 97)(50, 82)(51, 103)(52, 86)(53, 105)(54, 85)(55, 120)(56, 88)(57, 102)(58, 107)(59, 106)(60, 116)(121, 183)(122, 188)(123, 187)(124, 195)(125, 190)(126, 181)(127, 186)(128, 185)(129, 205)(130, 182)(131, 203)(132, 211)(133, 201)(134, 202)(135, 215)(136, 217)(137, 184)(138, 222)(139, 206)(140, 226)(141, 191)(142, 196)(143, 193)(144, 199)(145, 232)(146, 233)(147, 189)(148, 227)(149, 230)(150, 231)(151, 218)(152, 237)(153, 192)(154, 236)(155, 197)(156, 208)(157, 194)(158, 213)(159, 229)(160, 223)(161, 200)(162, 220)(163, 198)(164, 228)(165, 234)(166, 238)(167, 240)(168, 225)(169, 209)(170, 219)(171, 212)(172, 207)(173, 204)(174, 224)(175, 214)(176, 239)(177, 210)(178, 221)(179, 235)(180, 216)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E26.904
Transitivity :: VT+
Graph:: simple bipartite
	v = 30 e = 120 f = 40
	degree seq :: [ 8^30 ]

E26.912 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = C3 x (C5 : C4) (small group id <60, 6>)
Aut   = C6 x (C5 : C4) (small group id <120, 40>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1, (R * Y3)^2, R * Y2 * R * Y1, Y2 * Y1^-1 * Y3 * Y2^2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^2 * Y3 * Y1^2 * Y2^-1 * Y3 * Y2^-1 * Y3, Y2^3 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y3, Y1 * Y3 * Y1^3 * Y3 * Y2^-1 * Y3 * Y2^-1, Y1 * Y3 * Y1^2 * Y3 * Y2^-3 * Y3, Y1^4 * Y3 * Y1^-1 * Y2 * Y1^-2 * Y3, Y2^2 * Y3 * Y1^2 * Y2^-2 * Y3 * Y1^-2, Y3 * Y1^2 * Y3 * Y2 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2^4 * Y3 * Y2^-4, Y1^12, Y2^12 ]
Map:: non-degenerate
	R = (1, 61, 4, 64)(2, 62, 6, 66)(3, 63, 8, 68)(5, 65, 12, 72)(7, 67, 16, 76)(9, 69, 20, 80)(10, 70, 22, 82)(11, 71, 24, 84)(13, 73, 28, 88)(14, 74, 30, 90)(15, 75, 32, 92)(17, 77, 36, 96)(18, 78, 38, 98)(19, 79, 40, 100)(21, 81, 44, 104)(23, 83, 48, 108)(25, 85, 37, 97)(26, 86, 51, 111)(27, 87, 43, 103)(29, 89, 54, 114)(31, 91, 58, 118)(33, 93, 56, 116)(34, 94, 39, 99)(35, 95, 52, 112)(41, 101, 49, 109)(42, 102, 50, 110)(45, 105, 60, 120)(46, 106, 53, 113)(47, 107, 59, 119)(55, 115, 57, 117)(121, 122, 125, 131, 143, 167, 180, 177, 151, 135, 127, 123)(124, 129, 139, 159, 168, 174, 156, 171, 178, 163, 141, 130)(126, 133, 147, 158, 179, 162, 140, 161, 152, 173, 149, 134)(128, 137, 155, 169, 144, 164, 176, 150, 175, 160, 157, 138)(132, 145, 166, 142, 165, 172, 148, 154, 136, 153, 170, 146)(181, 183, 187, 195, 211, 237, 240, 227, 203, 191, 185, 182)(184, 190, 201, 223, 238, 231, 216, 234, 228, 219, 199, 189)(186, 194, 209, 233, 212, 221, 200, 222, 239, 218, 207, 193)(188, 198, 217, 220, 235, 210, 236, 224, 204, 229, 215, 197)(192, 206, 230, 213, 196, 214, 208, 232, 225, 202, 226, 205)
	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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E26.915
Graph:: simple bipartite
	v = 40 e = 120 f = 30
	degree seq :: [ 4^30, 12^10 ]

E26.913 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = C3 x (C5 : C4) (small group id <60, 6>)
Aut   = C6 x (C5 : C4) (small group id <120, 40>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2^3 * Y3 * Y2 * Y3 * Y1^-2 * Y3, Y2 * Y3 * Y2 * Y1^-2 * Y3 * Y2 * Y3 * Y1^-1, Y2^2 * Y3 * Y2^2 * Y1^-1 * Y3 * Y1^-1 * Y3, Y2^2 * Y3 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-1, Y3 * Y1^2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-2, Y2 * Y3 * Y2^-4 * Y3 * Y2^2 * Y1^-1, Y2^3 * Y3 * Y1 * Y2^-3 * Y3 * Y1^-1, Y2 * Y3 * Y1^3 * Y2^-1 * Y3 * Y1^-3, Y1^4 * Y3 * Y1^-2 * Y2 * Y1^-1 * Y3, Y2^2 * Y3 * Y1^2 * Y2^-2 * Y3 * Y1^-2, Y1^12, Y2^12 ]
Map:: non-degenerate
	R = (1, 61, 4, 64)(2, 62, 6, 66)(3, 63, 8, 68)(5, 65, 12, 72)(7, 67, 16, 76)(9, 69, 20, 80)(10, 70, 22, 82)(11, 71, 24, 84)(13, 73, 28, 88)(14, 74, 30, 90)(15, 75, 32, 92)(17, 77, 36, 96)(18, 78, 38, 98)(19, 79, 40, 100)(21, 81, 44, 104)(23, 83, 48, 108)(25, 85, 43, 103)(26, 86, 51, 111)(27, 87, 34, 94)(29, 89, 54, 114)(31, 91, 58, 118)(33, 93, 56, 116)(35, 95, 55, 115)(37, 97, 39, 99)(41, 101, 49, 109)(42, 102, 60, 120)(45, 105, 50, 110)(46, 106, 53, 113)(47, 107, 59, 119)(52, 112, 57, 117)(121, 122, 125, 131, 143, 167, 180, 177, 151, 135, 127, 123)(124, 129, 139, 159, 168, 176, 150, 175, 178, 163, 141, 130)(126, 133, 147, 164, 179, 156, 171, 160, 152, 173, 149, 134)(128, 137, 155, 169, 144, 166, 142, 165, 172, 148, 157, 138)(132, 145, 158, 174, 162, 140, 161, 154, 136, 153, 170, 146)(181, 183, 187, 195, 211, 237, 240, 227, 203, 191, 185, 182)(184, 190, 201, 223, 238, 235, 210, 236, 228, 219, 199, 189)(186, 194, 209, 233, 212, 220, 231, 216, 239, 224, 207, 193)(188, 198, 217, 208, 232, 225, 202, 226, 204, 229, 215, 197)(192, 206, 230, 213, 196, 214, 221, 200, 222, 234, 218, 205)
	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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E26.914
Graph:: simple bipartite
	v = 40 e = 120 f = 30
	degree seq :: [ 4^30, 12^10 ]

E26.914 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = C3 x (C5 : C4) (small group id <60, 6>)
Aut   = C6 x (C5 : C4) (small group id <120, 40>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1, (R * Y3)^2, R * Y2 * R * Y1, Y2 * Y1^-1 * Y3 * Y2^2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^2 * Y3 * Y1^2 * Y2^-1 * Y3 * Y2^-1 * Y3, Y2^3 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y3, Y1 * Y3 * Y1^3 * Y3 * Y2^-1 * Y3 * Y2^-1, Y1 * Y3 * Y1^2 * Y3 * Y2^-3 * Y3, Y1^4 * Y3 * Y1^-1 * Y2 * Y1^-2 * Y3, Y2^2 * Y3 * Y1^2 * Y2^-2 * Y3 * Y1^-2, Y3 * Y1^2 * Y3 * Y2 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2^4 * Y3 * Y2^-4, Y1^12, Y2^12 ]
Map:: non-degenerate
	R = (1, 61, 121, 181, 4, 64, 124, 184)(2, 62, 122, 182, 6, 66, 126, 186)(3, 63, 123, 183, 8, 68, 128, 188)(5, 65, 125, 185, 12, 72, 132, 192)(7, 67, 127, 187, 16, 76, 136, 196)(9, 69, 129, 189, 20, 80, 140, 200)(10, 70, 130, 190, 22, 82, 142, 202)(11, 71, 131, 191, 24, 84, 144, 204)(13, 73, 133, 193, 28, 88, 148, 208)(14, 74, 134, 194, 30, 90, 150, 210)(15, 75, 135, 195, 32, 92, 152, 212)(17, 77, 137, 197, 36, 96, 156, 216)(18, 78, 138, 198, 38, 98, 158, 218)(19, 79, 139, 199, 40, 100, 160, 220)(21, 81, 141, 201, 44, 104, 164, 224)(23, 83, 143, 203, 48, 108, 168, 228)(25, 85, 145, 205, 37, 97, 157, 217)(26, 86, 146, 206, 51, 111, 171, 231)(27, 87, 147, 207, 43, 103, 163, 223)(29, 89, 149, 209, 54, 114, 174, 234)(31, 91, 151, 211, 58, 118, 178, 238)(33, 93, 153, 213, 56, 116, 176, 236)(34, 94, 154, 214, 39, 99, 159, 219)(35, 95, 155, 215, 52, 112, 172, 232)(41, 101, 161, 221, 49, 109, 169, 229)(42, 102, 162, 222, 50, 110, 170, 230)(45, 105, 165, 225, 60, 120, 180, 240)(46, 106, 166, 226, 53, 113, 173, 233)(47, 107, 167, 227, 59, 119, 179, 239)(55, 115, 175, 235, 57, 117, 177, 237)
	L = (1, 62)(2, 65)(3, 61)(4, 69)(5, 71)(6, 73)(7, 63)(8, 77)(9, 79)(10, 64)(11, 83)(12, 85)(13, 87)(14, 66)(15, 67)(16, 93)(17, 95)(18, 68)(19, 99)(20, 101)(21, 70)(22, 105)(23, 107)(24, 104)(25, 106)(26, 72)(27, 98)(28, 94)(29, 74)(30, 115)(31, 75)(32, 113)(33, 110)(34, 76)(35, 109)(36, 111)(37, 78)(38, 119)(39, 108)(40, 97)(41, 92)(42, 80)(43, 81)(44, 116)(45, 112)(46, 82)(47, 120)(48, 114)(49, 84)(50, 86)(51, 118)(52, 88)(53, 89)(54, 96)(55, 100)(56, 90)(57, 91)(58, 103)(59, 102)(60, 117)(121, 183)(122, 181)(123, 187)(124, 190)(125, 182)(126, 194)(127, 195)(128, 198)(129, 184)(130, 201)(131, 185)(132, 206)(133, 186)(134, 209)(135, 211)(136, 214)(137, 188)(138, 217)(139, 189)(140, 222)(141, 223)(142, 226)(143, 191)(144, 229)(145, 192)(146, 230)(147, 193)(148, 232)(149, 233)(150, 236)(151, 237)(152, 221)(153, 196)(154, 208)(155, 197)(156, 234)(157, 220)(158, 207)(159, 199)(160, 235)(161, 200)(162, 239)(163, 238)(164, 204)(165, 202)(166, 205)(167, 203)(168, 219)(169, 215)(170, 213)(171, 216)(172, 225)(173, 212)(174, 228)(175, 210)(176, 224)(177, 240)(178, 231)(179, 218)(180, 227)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E26.913
Transitivity :: VT+
Graph:: bipartite
	v = 30 e = 120 f = 40
	degree seq :: [ 8^30 ]

E26.915 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = C3 x (C5 : C4) (small group id <60, 6>)
Aut   = C6 x (C5 : C4) (small group id <120, 40>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2^3 * Y3 * Y2 * Y3 * Y1^-2 * Y3, Y2 * Y3 * Y2 * Y1^-2 * Y3 * Y2 * Y3 * Y1^-1, Y2^2 * Y3 * Y2^2 * Y1^-1 * Y3 * Y1^-1 * Y3, Y2^2 * Y3 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-1, Y3 * Y1^2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-2, Y2 * Y3 * Y2^-4 * Y3 * Y2^2 * Y1^-1, Y2^3 * Y3 * Y1 * Y2^-3 * Y3 * Y1^-1, Y2 * Y3 * Y1^3 * Y2^-1 * Y3 * Y1^-3, Y1^4 * Y3 * Y1^-2 * Y2 * Y1^-1 * Y3, Y2^2 * Y3 * Y1^2 * Y2^-2 * Y3 * Y1^-2, Y1^12, Y2^12 ]
Map:: non-degenerate
	R = (1, 61, 121, 181, 4, 64, 124, 184)(2, 62, 122, 182, 6, 66, 126, 186)(3, 63, 123, 183, 8, 68, 128, 188)(5, 65, 125, 185, 12, 72, 132, 192)(7, 67, 127, 187, 16, 76, 136, 196)(9, 69, 129, 189, 20, 80, 140, 200)(10, 70, 130, 190, 22, 82, 142, 202)(11, 71, 131, 191, 24, 84, 144, 204)(13, 73, 133, 193, 28, 88, 148, 208)(14, 74, 134, 194, 30, 90, 150, 210)(15, 75, 135, 195, 32, 92, 152, 212)(17, 77, 137, 197, 36, 96, 156, 216)(18, 78, 138, 198, 38, 98, 158, 218)(19, 79, 139, 199, 40, 100, 160, 220)(21, 81, 141, 201, 44, 104, 164, 224)(23, 83, 143, 203, 48, 108, 168, 228)(25, 85, 145, 205, 43, 103, 163, 223)(26, 86, 146, 206, 51, 111, 171, 231)(27, 87, 147, 207, 34, 94, 154, 214)(29, 89, 149, 209, 54, 114, 174, 234)(31, 91, 151, 211, 58, 118, 178, 238)(33, 93, 153, 213, 56, 116, 176, 236)(35, 95, 155, 215, 55, 115, 175, 235)(37, 97, 157, 217, 39, 99, 159, 219)(41, 101, 161, 221, 49, 109, 169, 229)(42, 102, 162, 222, 60, 120, 180, 240)(45, 105, 165, 225, 50, 110, 170, 230)(46, 106, 166, 226, 53, 113, 173, 233)(47, 107, 167, 227, 59, 119, 179, 239)(52, 112, 172, 232, 57, 117, 177, 237)
	L = (1, 62)(2, 65)(3, 61)(4, 69)(5, 71)(6, 73)(7, 63)(8, 77)(9, 79)(10, 64)(11, 83)(12, 85)(13, 87)(14, 66)(15, 67)(16, 93)(17, 95)(18, 68)(19, 99)(20, 101)(21, 70)(22, 105)(23, 107)(24, 106)(25, 98)(26, 72)(27, 104)(28, 97)(29, 74)(30, 115)(31, 75)(32, 113)(33, 110)(34, 76)(35, 109)(36, 111)(37, 78)(38, 114)(39, 108)(40, 92)(41, 94)(42, 80)(43, 81)(44, 119)(45, 112)(46, 82)(47, 120)(48, 116)(49, 84)(50, 86)(51, 100)(52, 88)(53, 89)(54, 102)(55, 118)(56, 90)(57, 91)(58, 103)(59, 96)(60, 117)(121, 183)(122, 181)(123, 187)(124, 190)(125, 182)(126, 194)(127, 195)(128, 198)(129, 184)(130, 201)(131, 185)(132, 206)(133, 186)(134, 209)(135, 211)(136, 214)(137, 188)(138, 217)(139, 189)(140, 222)(141, 223)(142, 226)(143, 191)(144, 229)(145, 192)(146, 230)(147, 193)(148, 232)(149, 233)(150, 236)(151, 237)(152, 220)(153, 196)(154, 221)(155, 197)(156, 239)(157, 208)(158, 205)(159, 199)(160, 231)(161, 200)(162, 234)(163, 238)(164, 207)(165, 202)(166, 204)(167, 203)(168, 219)(169, 215)(170, 213)(171, 216)(172, 225)(173, 212)(174, 218)(175, 210)(176, 228)(177, 240)(178, 235)(179, 224)(180, 227)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E26.912
Transitivity :: VT+
Graph:: bipartite
	v = 30 e = 120 f = 40
	degree seq :: [ 8^30 ]

E26.916 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 15})
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, Y2^2, R^2, Y3 * Y2 * Y3^-1 * Y2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1 * Y2)^2, Y3^2 * Y1 * Y3^-2 * Y1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^2, Y3^10 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62)(3, 63, 6, 66)(4, 64, 11, 71)(5, 65, 13, 73)(7, 67, 17, 77)(8, 68, 19, 79)(9, 69, 21, 81)(10, 70, 23, 83)(12, 72, 18, 78)(14, 74, 20, 80)(15, 75, 30, 90)(16, 76, 32, 92)(22, 82, 31, 91)(24, 84, 33, 93)(25, 85, 38, 98)(26, 86, 44, 104)(27, 87, 37, 97)(28, 88, 36, 96)(29, 89, 34, 94)(35, 95, 52, 112)(39, 99, 51, 111)(40, 100, 55, 115)(41, 101, 50, 110)(42, 102, 49, 109)(43, 103, 47, 107)(45, 105, 53, 113)(46, 106, 54, 114)(48, 108, 58, 118)(56, 116, 59, 119)(57, 117, 60, 120)(121, 181, 123, 183)(122, 182, 126, 186)(124, 184, 129, 189)(125, 185, 130, 190)(127, 187, 135, 195)(128, 188, 136, 196)(131, 191, 141, 201)(132, 192, 142, 202)(133, 193, 143, 203)(134, 194, 144, 204)(137, 197, 150, 210)(138, 198, 151, 211)(139, 199, 152, 212)(140, 200, 153, 213)(145, 205, 159, 219)(146, 206, 160, 220)(147, 207, 161, 221)(148, 208, 162, 222)(149, 209, 163, 223)(154, 214, 167, 227)(155, 215, 168, 228)(156, 216, 169, 229)(157, 217, 170, 230)(158, 218, 171, 231)(164, 224, 175, 235)(165, 225, 176, 236)(166, 226, 177, 237)(172, 232, 178, 238)(173, 233, 179, 239)(174, 234, 180, 240)
	L = (1, 124)(2, 127)(3, 129)(4, 132)(5, 121)(6, 135)(7, 138)(8, 122)(9, 142)(10, 123)(11, 145)(12, 147)(13, 146)(14, 125)(15, 151)(16, 126)(17, 154)(18, 156)(19, 155)(20, 128)(21, 159)(22, 161)(23, 160)(24, 130)(25, 157)(26, 131)(27, 165)(28, 133)(29, 134)(30, 167)(31, 169)(32, 168)(33, 136)(34, 148)(35, 137)(36, 173)(37, 139)(38, 140)(39, 170)(40, 141)(41, 176)(42, 143)(43, 144)(44, 174)(45, 172)(46, 149)(47, 162)(48, 150)(49, 179)(50, 152)(51, 153)(52, 166)(53, 164)(54, 158)(55, 180)(56, 178)(57, 163)(58, 177)(59, 175)(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) :: { ( 20, 30, 20, 30 ) }
Outer automorphisms :: reflexible
Dual of E26.939
Graph:: simple bipartite
	v = 60 e = 120 f = 10
	degree seq :: [ 4^60 ]

E26.917 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 15})
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, (R * Y1)^2, (Y3^-1, Y2^-1), (Y3^-1 * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2)^2, (R * Y3)^2, Y3^-6, Y3^6, Y3^3 * Y2^5 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 7, 67)(4, 64, 10, 70)(5, 65, 9, 69)(6, 66, 8, 68)(11, 71, 19, 79)(12, 72, 21, 81)(13, 73, 20, 80)(14, 74, 26, 86)(15, 75, 25, 85)(16, 76, 24, 84)(17, 77, 23, 83)(18, 78, 22, 82)(27, 87, 38, 98)(28, 88, 40, 100)(29, 89, 39, 99)(30, 90, 42, 102)(31, 91, 41, 101)(32, 92, 43, 103)(33, 93, 48, 108)(34, 94, 47, 107)(35, 95, 46, 106)(36, 96, 45, 105)(37, 97, 44, 104)(49, 109, 55, 115)(50, 110, 57, 117)(51, 111, 56, 116)(52, 112, 59, 119)(53, 113, 58, 118)(54, 114, 60, 120)(121, 181, 123, 183, 131, 191, 147, 207, 169, 229, 152, 212, 174, 234, 155, 215, 136, 196, 125, 185)(122, 182, 127, 187, 139, 199, 158, 218, 175, 235, 163, 223, 180, 240, 166, 226, 144, 204, 129, 189)(124, 184, 132, 192, 148, 208, 170, 230, 157, 217, 138, 198, 151, 211, 173, 233, 154, 214, 135, 195)(126, 186, 133, 193, 149, 209, 171, 231, 153, 213, 134, 194, 150, 210, 172, 232, 156, 216, 137, 197)(128, 188, 140, 200, 159, 219, 176, 236, 168, 228, 146, 206, 162, 222, 179, 239, 165, 225, 143, 203)(130, 190, 141, 201, 160, 220, 177, 237, 164, 224, 142, 202, 161, 221, 178, 238, 167, 227, 145, 205)
	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, 170)(28, 172)(29, 131)(30, 174)(31, 133)(32, 138)(33, 169)(34, 171)(35, 173)(36, 136)(37, 137)(38, 176)(39, 178)(40, 139)(41, 180)(42, 141)(43, 146)(44, 175)(45, 177)(46, 179)(47, 144)(48, 145)(49, 157)(50, 156)(51, 147)(52, 155)(53, 149)(54, 151)(55, 168)(56, 167)(57, 158)(58, 166)(59, 160)(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, 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 E26.930
Graph:: simple bipartite
	v = 36 e = 120 f = 34
	degree seq :: [ 4^30, 20^6 ]

E26.918 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 15})
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 * Y3)^2, (Y3 * Y1)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3)^2, Y3 * Y2^-2 * Y3 * Y2^2, Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2^10 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 6, 66)(4, 64, 7, 67)(5, 65, 8, 68)(9, 69, 15, 75)(10, 70, 16, 76)(11, 71, 17, 77)(12, 72, 18, 78)(13, 73, 19, 79)(14, 74, 20, 80)(21, 81, 30, 90)(22, 82, 31, 91)(23, 83, 32, 92)(24, 84, 33, 93)(25, 85, 34, 94)(26, 86, 35, 95)(27, 87, 36, 96)(28, 88, 37, 97)(29, 89, 38, 98)(39, 99, 47, 107)(40, 100, 48, 108)(41, 101, 49, 109)(42, 102, 50, 110)(43, 103, 51, 111)(44, 104, 52, 112)(45, 105, 53, 113)(46, 106, 54, 114)(55, 115, 58, 118)(56, 116, 59, 119)(57, 117, 60, 120)(121, 181, 123, 183, 129, 189, 141, 201, 159, 219, 175, 235, 166, 226, 149, 209, 134, 194, 125, 185)(122, 182, 126, 186, 135, 195, 150, 210, 167, 227, 178, 238, 174, 234, 158, 218, 140, 200, 128, 188)(124, 184, 131, 191, 142, 202, 161, 221, 176, 236, 163, 223, 177, 237, 162, 222, 147, 207, 132, 192)(127, 187, 137, 197, 151, 211, 169, 229, 179, 239, 171, 231, 180, 240, 170, 230, 156, 216, 138, 198)(130, 190, 143, 203, 160, 220, 146, 206, 165, 225, 145, 205, 164, 224, 148, 208, 133, 193, 144, 204)(136, 196, 152, 212, 168, 228, 155, 215, 173, 233, 154, 214, 172, 232, 157, 217, 139, 199, 153, 213)
	L = (1, 124)(2, 127)(3, 130)(4, 121)(5, 133)(6, 136)(7, 122)(8, 139)(9, 142)(10, 123)(11, 145)(12, 146)(13, 125)(14, 147)(15, 151)(16, 126)(17, 154)(18, 155)(19, 128)(20, 156)(21, 160)(22, 129)(23, 162)(24, 163)(25, 131)(26, 132)(27, 134)(28, 161)(29, 164)(30, 168)(31, 135)(32, 170)(33, 171)(34, 137)(35, 138)(36, 140)(37, 169)(38, 172)(39, 176)(40, 141)(41, 148)(42, 143)(43, 144)(44, 149)(45, 175)(46, 177)(47, 179)(48, 150)(49, 157)(50, 152)(51, 153)(52, 158)(53, 178)(54, 180)(55, 165)(56, 159)(57, 166)(58, 173)(59, 167)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.929
Graph:: simple bipartite
	v = 36 e = 120 f = 34
	degree seq :: [ 4^30, 20^6 ]

E26.919 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 15})
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, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1, Y3 * Y2^2 * Y3 * Y2^-2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, Y2^3 * Y1 * Y2 * Y3 * Y2 * Y1, Y2^10, (Y3 * Y2^-1)^15 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 9, 69)(4, 64, 7, 67)(5, 65, 14, 74)(6, 66, 17, 77)(8, 68, 22, 82)(10, 70, 18, 78)(11, 71, 20, 80)(12, 72, 19, 79)(13, 73, 23, 83)(15, 75, 21, 81)(16, 76, 24, 84)(25, 85, 45, 105)(26, 86, 46, 106)(27, 87, 43, 103)(28, 88, 38, 98)(29, 89, 44, 104)(30, 90, 47, 107)(31, 91, 41, 101)(32, 92, 49, 109)(33, 93, 37, 97)(34, 94, 39, 99)(35, 95, 51, 111)(36, 96, 52, 112)(40, 100, 53, 113)(42, 102, 55, 115)(48, 108, 54, 114)(50, 110, 56, 116)(57, 117, 59, 119)(58, 118, 60, 120)(121, 181, 123, 183, 130, 190, 147, 207, 168, 228, 173, 233, 170, 230, 154, 214, 136, 196, 125, 185)(122, 182, 126, 186, 138, 198, 157, 217, 174, 234, 167, 227, 176, 236, 164, 224, 144, 204, 128, 188)(124, 184, 132, 192, 148, 208, 169, 229, 178, 238, 166, 226, 177, 237, 165, 225, 151, 211, 133, 193)(127, 187, 140, 200, 158, 218, 175, 235, 180, 240, 172, 232, 179, 239, 171, 231, 161, 221, 141, 201)(129, 189, 145, 205, 163, 223, 143, 203, 160, 220, 139, 199, 159, 219, 152, 212, 134, 194, 146, 206)(131, 191, 149, 209, 162, 222, 142, 202, 156, 216, 137, 197, 155, 215, 153, 213, 135, 195, 150, 210)
	L = (1, 124)(2, 127)(3, 131)(4, 121)(5, 135)(6, 139)(7, 122)(8, 143)(9, 140)(10, 148)(11, 123)(12, 137)(13, 142)(14, 141)(15, 125)(16, 151)(17, 132)(18, 158)(19, 126)(20, 129)(21, 134)(22, 133)(23, 128)(24, 161)(25, 164)(26, 167)(27, 162)(28, 130)(29, 165)(30, 166)(31, 136)(32, 157)(33, 169)(34, 155)(35, 154)(36, 173)(37, 152)(38, 138)(39, 171)(40, 172)(41, 144)(42, 147)(43, 175)(44, 145)(45, 149)(46, 150)(47, 146)(48, 178)(49, 153)(50, 177)(51, 159)(52, 160)(53, 156)(54, 180)(55, 163)(56, 179)(57, 170)(58, 168)(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) :: { ( 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 E26.928
Graph:: simple bipartite
	v = 36 e = 120 f = 34
	degree seq :: [ 4^30, 20^6 ]

E26.920 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 15})
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, (R * Y3)^2, (Y3 * Y1)^2, (Y2 * Y1)^2, (R * Y1)^2, (R * Y2 * Y3)^2, Y3 * Y2^-2 * Y3 * Y2^2, Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2^10 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 8, 68)(4, 64, 7, 67)(5, 65, 6, 66)(9, 69, 20, 80)(10, 70, 19, 79)(11, 71, 18, 78)(12, 72, 17, 77)(13, 73, 16, 76)(14, 74, 15, 75)(21, 81, 38, 98)(22, 82, 36, 96)(23, 83, 37, 97)(24, 84, 33, 93)(25, 85, 35, 95)(26, 86, 34, 94)(27, 87, 31, 91)(28, 88, 32, 92)(29, 89, 30, 90)(39, 99, 54, 114)(40, 100, 52, 112)(41, 101, 50, 110)(42, 102, 49, 109)(43, 103, 51, 111)(44, 104, 48, 108)(45, 105, 53, 113)(46, 106, 47, 107)(55, 115, 58, 118)(56, 116, 60, 120)(57, 117, 59, 119)(121, 181, 123, 183, 129, 189, 141, 201, 159, 219, 175, 235, 166, 226, 149, 209, 134, 194, 125, 185)(122, 182, 126, 186, 135, 195, 150, 210, 167, 227, 178, 238, 174, 234, 158, 218, 140, 200, 128, 188)(124, 184, 131, 191, 142, 202, 161, 221, 176, 236, 163, 223, 177, 237, 162, 222, 147, 207, 132, 192)(127, 187, 137, 197, 151, 211, 169, 229, 179, 239, 171, 231, 180, 240, 170, 230, 156, 216, 138, 198)(130, 190, 143, 203, 160, 220, 146, 206, 165, 225, 145, 205, 164, 224, 148, 208, 133, 193, 144, 204)(136, 196, 152, 212, 168, 228, 155, 215, 173, 233, 154, 214, 172, 232, 157, 217, 139, 199, 153, 213)
	L = (1, 124)(2, 127)(3, 130)(4, 121)(5, 133)(6, 136)(7, 122)(8, 139)(9, 142)(10, 123)(11, 145)(12, 146)(13, 125)(14, 147)(15, 151)(16, 126)(17, 154)(18, 155)(19, 128)(20, 156)(21, 160)(22, 129)(23, 162)(24, 163)(25, 131)(26, 132)(27, 134)(28, 161)(29, 164)(30, 168)(31, 135)(32, 170)(33, 171)(34, 137)(35, 138)(36, 140)(37, 169)(38, 172)(39, 176)(40, 141)(41, 148)(42, 143)(43, 144)(44, 149)(45, 175)(46, 177)(47, 179)(48, 150)(49, 157)(50, 152)(51, 153)(52, 158)(53, 178)(54, 180)(55, 165)(56, 159)(57, 166)(58, 173)(59, 167)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.935
Graph:: simple bipartite
	v = 36 e = 120 f = 34
	degree seq :: [ 4^30, 20^6 ]

E26.921 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 15})
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, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (Y2 * Y3 * Y1)^2, (R * Y2 * Y3)^2, Y3 * Y2^2 * Y3 * Y2^-2, (Y2^-1 * Y1 * Y2^-1)^2, Y2^-1 * Y1 * Y2 * Y1 * Y2^-3 * Y3, Y2^10, (Y3 * Y2^-1)^15 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 9, 69)(4, 64, 7, 67)(5, 65, 14, 74)(6, 66, 17, 77)(8, 68, 22, 82)(10, 70, 24, 84)(11, 71, 21, 81)(12, 72, 23, 83)(13, 73, 19, 79)(15, 75, 20, 80)(16, 76, 18, 78)(25, 85, 45, 105)(26, 86, 47, 107)(27, 87, 39, 99)(28, 88, 41, 101)(29, 89, 37, 97)(30, 90, 46, 106)(31, 91, 38, 98)(32, 92, 49, 109)(33, 93, 44, 104)(34, 94, 43, 103)(35, 95, 51, 111)(36, 96, 53, 113)(40, 100, 52, 112)(42, 102, 55, 115)(48, 108, 56, 116)(50, 110, 54, 114)(57, 117, 60, 120)(58, 118, 59, 119)(121, 181, 123, 183, 130, 190, 147, 207, 168, 228, 172, 232, 170, 230, 154, 214, 136, 196, 125, 185)(122, 182, 126, 186, 138, 198, 157, 217, 174, 234, 166, 226, 176, 236, 164, 224, 144, 204, 128, 188)(124, 184, 132, 192, 148, 208, 169, 229, 178, 238, 165, 225, 177, 237, 167, 227, 151, 211, 133, 193)(127, 187, 140, 200, 158, 218, 175, 235, 180, 240, 171, 231, 179, 239, 173, 233, 161, 221, 141, 201)(129, 189, 145, 205, 134, 194, 152, 212, 163, 223, 143, 203, 160, 220, 139, 199, 159, 219, 146, 206)(131, 191, 149, 209, 156, 216, 137, 197, 155, 215, 142, 202, 162, 222, 153, 213, 135, 195, 150, 210)
	L = (1, 124)(2, 127)(3, 131)(4, 121)(5, 135)(6, 139)(7, 122)(8, 143)(9, 141)(10, 148)(11, 123)(12, 142)(13, 137)(14, 140)(15, 125)(16, 151)(17, 133)(18, 158)(19, 126)(20, 134)(21, 129)(22, 132)(23, 128)(24, 161)(25, 166)(26, 157)(27, 156)(28, 130)(29, 167)(30, 165)(31, 136)(32, 164)(33, 169)(34, 162)(35, 172)(36, 147)(37, 146)(38, 138)(39, 173)(40, 171)(41, 144)(42, 154)(43, 175)(44, 152)(45, 150)(46, 145)(47, 149)(48, 178)(49, 153)(50, 177)(51, 160)(52, 155)(53, 159)(54, 180)(55, 163)(56, 179)(57, 170)(58, 168)(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) :: { ( 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 E26.931
Graph:: simple bipartite
	v = 36 e = 120 f = 34
	degree seq :: [ 4^30, 20^6 ]

E26.922 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 15})
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 * Y3^2 * Y2, (Y2^-1 * Y1)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-3, Y3^10, Y3^-1 * Y2^2 * Y3^-2 * Y2^2 * Y3^-2 * Y2^2 * Y3^-1 * Y2 * Y3^2 * 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, 23, 83)(12, 72, 20, 80)(13, 73, 25, 85)(14, 74, 22, 82)(15, 75, 19, 79)(16, 76, 26, 86)(17, 77, 21, 81)(18, 78, 24, 84)(27, 87, 41, 101)(28, 88, 40, 100)(29, 89, 38, 98)(30, 90, 37, 97)(31, 91, 42, 102)(32, 92, 36, 96)(33, 93, 35, 95)(34, 94, 39, 99)(43, 103, 52, 112)(44, 104, 54, 114)(45, 105, 53, 113)(46, 106, 49, 109)(47, 107, 51, 111)(48, 108, 50, 110)(55, 115, 58, 118)(56, 116, 59, 119)(57, 117, 60, 120)(121, 181, 123, 183, 131, 191, 147, 207, 163, 223, 175, 235, 166, 226, 153, 213, 135, 195, 125, 185)(122, 182, 127, 187, 139, 199, 155, 215, 169, 229, 178, 238, 172, 232, 161, 221, 143, 203, 129, 189)(124, 184, 134, 194, 126, 186, 138, 198, 148, 208, 165, 225, 176, 236, 167, 227, 152, 212, 136, 196)(128, 188, 142, 202, 130, 190, 146, 206, 156, 216, 171, 231, 179, 239, 173, 233, 160, 220, 144, 204)(132, 192, 149, 209, 133, 193, 151, 211, 164, 224, 177, 237, 168, 228, 154, 214, 137, 197, 150, 210)(140, 200, 157, 217, 141, 201, 159, 219, 170, 230, 180, 240, 174, 234, 162, 222, 145, 205, 158, 218)
	L = (1, 124)(2, 128)(3, 132)(4, 135)(5, 137)(6, 121)(7, 140)(8, 143)(9, 145)(10, 122)(11, 126)(12, 125)(13, 123)(14, 150)(15, 152)(16, 154)(17, 153)(18, 149)(19, 130)(20, 129)(21, 127)(22, 158)(23, 160)(24, 162)(25, 161)(26, 157)(27, 133)(28, 131)(29, 134)(30, 136)(31, 138)(32, 166)(33, 168)(34, 167)(35, 141)(36, 139)(37, 142)(38, 144)(39, 146)(40, 172)(41, 174)(42, 173)(43, 148)(44, 147)(45, 151)(46, 176)(47, 177)(48, 175)(49, 156)(50, 155)(51, 159)(52, 179)(53, 180)(54, 178)(55, 164)(56, 163)(57, 165)(58, 170)(59, 169)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.938
Graph:: simple bipartite
	v = 36 e = 120 f = 34
	degree seq :: [ 4^30, 20^6 ]

E26.923 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 15})
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 * Y2^2 * Y3, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y1, Y2 * Y3 * Y2 * Y1 * Y2 * Y1, (Y2 * Y3^-1 * Y1)^2, Y3^-1 * Y2^-1 * Y1 * Y3 * Y2 * Y1, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2, (R * Y2 * Y3^-1)^2, Y2^-2 * Y3^4 * Y2^-4, (Y3 * Y2^-1)^15 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 11, 71)(4, 64, 10, 70)(5, 65, 18, 78)(6, 66, 8, 68)(7, 67, 21, 81)(9, 69, 28, 88)(12, 72, 26, 86)(13, 73, 25, 85)(14, 74, 27, 87)(15, 75, 23, 83)(16, 76, 22, 82)(17, 77, 24, 84)(19, 79, 30, 90)(20, 80, 29, 89)(31, 91, 42, 102)(32, 92, 40, 100)(33, 93, 41, 101)(34, 94, 38, 98)(35, 95, 39, 99)(36, 96, 37, 97)(43, 103, 52, 112)(44, 104, 53, 113)(45, 105, 54, 114)(46, 106, 49, 109)(47, 107, 50, 110)(48, 108, 51, 111)(55, 115, 60, 120)(56, 116, 59, 119)(57, 117, 58, 118)(121, 181, 123, 183, 132, 192, 151, 211, 163, 223, 175, 235, 166, 226, 155, 215, 136, 196, 125, 185)(122, 182, 127, 187, 142, 202, 157, 217, 169, 229, 178, 238, 172, 232, 161, 221, 146, 206, 129, 189)(124, 184, 135, 195, 126, 186, 140, 200, 152, 212, 165, 225, 176, 236, 167, 227, 154, 214, 137, 197)(128, 188, 145, 205, 130, 190, 150, 210, 158, 218, 171, 231, 179, 239, 173, 233, 160, 220, 147, 207)(131, 191, 143, 203, 138, 198, 144, 204, 159, 219, 170, 230, 180, 240, 174, 234, 162, 222, 149, 209)(133, 193, 148, 208, 134, 194, 153, 213, 164, 224, 177, 237, 168, 228, 156, 216, 139, 199, 141, 201)
	L = (1, 124)(2, 128)(3, 133)(4, 136)(5, 139)(6, 121)(7, 143)(8, 146)(9, 149)(10, 122)(11, 147)(12, 126)(13, 125)(14, 123)(15, 141)(16, 154)(17, 156)(18, 145)(19, 155)(20, 148)(21, 137)(22, 130)(23, 129)(24, 127)(25, 131)(26, 160)(27, 162)(28, 135)(29, 161)(30, 138)(31, 134)(32, 132)(33, 140)(34, 166)(35, 168)(36, 167)(37, 144)(38, 142)(39, 150)(40, 172)(41, 174)(42, 173)(43, 152)(44, 151)(45, 153)(46, 176)(47, 177)(48, 175)(49, 158)(50, 157)(51, 159)(52, 179)(53, 180)(54, 178)(55, 164)(56, 163)(57, 165)(58, 170)(59, 169)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.934
Graph:: simple bipartite
	v = 36 e = 120 f = 34
	degree seq :: [ 4^30, 20^6 ]

E26.924 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 15})
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, (R * Y1)^2, (Y3^-1 * Y1)^2, (Y2^-1 * Y1)^2, (R * Y3)^2, (Y2^-2 * Y3^-1)^2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^3 * Y2^-2 * Y3, (Y2^-1 * R * Y2^-1)^2, Y2^-2 * Y3 * Y2^2 * Y3^-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, 30, 90)(12, 72, 31, 91)(13, 73, 29, 89)(14, 74, 33, 93)(15, 75, 34, 94)(16, 76, 32, 92)(17, 77, 25, 85)(18, 78, 23, 83)(19, 79, 24, 84)(20, 80, 28, 88)(21, 81, 26, 86)(22, 82, 27, 87)(35, 95, 50, 110)(36, 96, 47, 107)(37, 97, 56, 116)(38, 98, 49, 109)(39, 99, 46, 106)(40, 100, 53, 113)(41, 101, 55, 115)(42, 102, 51, 111)(43, 103, 54, 114)(44, 104, 52, 112)(45, 105, 48, 108)(57, 117, 59, 119)(58, 118, 60, 120)(121, 181, 123, 183, 131, 191, 155, 215, 142, 202, 163, 223, 135, 195, 159, 219, 138, 198, 125, 185)(122, 182, 127, 187, 143, 203, 166, 226, 154, 214, 174, 234, 147, 207, 170, 230, 150, 210, 129, 189)(124, 184, 134, 194, 156, 216, 141, 201, 126, 186, 140, 200, 157, 217, 178, 238, 165, 225, 136, 196)(128, 188, 146, 206, 167, 227, 153, 213, 130, 190, 152, 212, 168, 228, 180, 240, 176, 236, 148, 208)(132, 192, 158, 218, 139, 199, 162, 222, 133, 193, 161, 221, 177, 237, 164, 224, 137, 197, 160, 220)(144, 204, 169, 229, 151, 211, 173, 233, 145, 205, 172, 232, 179, 239, 175, 235, 149, 209, 171, 231)
	L = (1, 124)(2, 128)(3, 132)(4, 135)(5, 137)(6, 121)(7, 144)(8, 147)(9, 149)(10, 122)(11, 156)(12, 159)(13, 123)(14, 162)(15, 157)(16, 158)(17, 163)(18, 165)(19, 125)(20, 164)(21, 161)(22, 126)(23, 167)(24, 170)(25, 127)(26, 173)(27, 168)(28, 169)(29, 174)(30, 176)(31, 129)(32, 175)(33, 172)(34, 130)(35, 139)(36, 138)(37, 131)(38, 140)(39, 177)(40, 141)(41, 136)(42, 178)(43, 133)(44, 134)(45, 142)(46, 151)(47, 150)(48, 143)(49, 152)(50, 179)(51, 153)(52, 148)(53, 180)(54, 145)(55, 146)(56, 154)(57, 155)(58, 160)(59, 166)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.936
Graph:: simple bipartite
	v = 36 e = 120 f = 34
	degree seq :: [ 4^30, 20^6 ]

E26.925 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 15})
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 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1, Y3^-2 * Y2 * Y3^2 * Y2^-1, (Y3^2 * Y2^-1)^2, Y3^-3 * Y2^2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2, (Y2^-1 * R * Y2^-1)^2, Y3^-1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1, Y3^-2 * Y2^-4, Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, (Y3 * Y2^2)^2, (Y2^2 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 11, 71)(4, 64, 10, 70)(5, 65, 18, 78)(6, 66, 8, 68)(7, 67, 25, 85)(9, 69, 32, 92)(12, 72, 34, 94)(13, 73, 37, 97)(14, 74, 31, 91)(15, 75, 35, 95)(16, 76, 38, 98)(17, 77, 28, 88)(19, 79, 36, 96)(20, 80, 26, 86)(21, 81, 29, 89)(22, 82, 33, 93)(23, 83, 27, 87)(24, 84, 30, 90)(39, 99, 59, 119)(40, 100, 56, 116)(41, 101, 51, 111)(42, 102, 58, 118)(43, 103, 57, 117)(44, 104, 55, 115)(45, 105, 54, 114)(46, 106, 50, 110)(47, 107, 53, 113)(48, 108, 52, 112)(49, 109, 60, 120)(121, 181, 123, 183, 132, 192, 160, 220, 144, 204, 167, 227, 136, 196, 164, 224, 140, 200, 125, 185)(122, 182, 127, 187, 146, 206, 170, 230, 158, 218, 177, 237, 150, 210, 174, 234, 154, 214, 129, 189)(124, 184, 135, 195, 161, 221, 143, 203, 126, 186, 142, 202, 162, 222, 179, 239, 168, 228, 137, 197)(128, 188, 149, 209, 171, 231, 157, 217, 130, 190, 156, 216, 172, 232, 180, 240, 178, 238, 151, 211)(131, 191, 159, 219, 138, 198, 153, 213, 175, 235, 147, 207, 173, 233, 155, 215, 176, 236, 148, 208)(133, 193, 163, 223, 141, 201, 166, 226, 134, 194, 145, 205, 169, 229, 152, 212, 139, 199, 165, 225)
	L = (1, 124)(2, 128)(3, 133)(4, 136)(5, 139)(6, 121)(7, 147)(8, 150)(9, 153)(10, 122)(11, 151)(12, 161)(13, 164)(14, 123)(15, 166)(16, 162)(17, 163)(18, 149)(19, 167)(20, 168)(21, 125)(22, 152)(23, 145)(24, 126)(25, 137)(26, 171)(27, 174)(28, 127)(29, 176)(30, 172)(31, 173)(32, 135)(33, 177)(34, 178)(35, 129)(36, 138)(37, 131)(38, 130)(39, 170)(40, 141)(41, 140)(42, 132)(43, 142)(44, 169)(45, 143)(46, 179)(47, 134)(48, 144)(49, 160)(50, 155)(51, 154)(52, 146)(53, 156)(54, 159)(55, 157)(56, 180)(57, 148)(58, 158)(59, 165)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.932
Graph:: simple bipartite
	v = 36 e = 120 f = 34
	degree seq :: [ 4^30, 20^6 ]

E26.926 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 15})
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, (R * Y1)^2, (Y3^-1 * Y1)^2, (Y2^-1 * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2, Y2^-3 * Y3^2 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^-3 * Y2^-2 * Y3^-1, Y3^-1 * Y2 * Y3^2 * Y2^-1 * Y3^-1, (Y2^-1 * Y3 * Y2^-1)^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, 30, 90)(12, 72, 31, 91)(13, 73, 29, 89)(14, 74, 33, 93)(15, 75, 34, 94)(16, 76, 32, 92)(17, 77, 25, 85)(18, 78, 23, 83)(19, 79, 24, 84)(20, 80, 28, 88)(21, 81, 26, 86)(22, 82, 27, 87)(35, 95, 54, 114)(36, 96, 56, 116)(37, 97, 48, 108)(38, 98, 55, 115)(39, 99, 50, 110)(40, 100, 53, 113)(41, 101, 52, 112)(42, 102, 51, 111)(43, 103, 46, 106)(44, 104, 49, 109)(45, 105, 47, 107)(57, 117, 59, 119)(58, 118, 60, 120)(121, 181, 123, 183, 131, 191, 155, 215, 135, 195, 159, 219, 142, 202, 163, 223, 138, 198, 125, 185)(122, 182, 127, 187, 143, 203, 166, 226, 147, 207, 170, 230, 154, 214, 174, 234, 150, 210, 129, 189)(124, 184, 134, 194, 156, 216, 178, 238, 165, 225, 141, 201, 126, 186, 140, 200, 157, 217, 136, 196)(128, 188, 146, 206, 167, 227, 180, 240, 176, 236, 153, 213, 130, 190, 152, 212, 168, 228, 148, 208)(132, 192, 158, 218, 177, 237, 164, 224, 139, 199, 162, 222, 133, 193, 161, 221, 137, 197, 160, 220)(144, 204, 169, 229, 179, 239, 175, 235, 151, 211, 173, 233, 145, 205, 172, 232, 149, 209, 171, 231)
	L = (1, 124)(2, 128)(3, 132)(4, 135)(5, 137)(6, 121)(7, 144)(8, 147)(9, 149)(10, 122)(11, 156)(12, 159)(13, 123)(14, 161)(15, 165)(16, 162)(17, 155)(18, 157)(19, 125)(20, 164)(21, 158)(22, 126)(23, 167)(24, 170)(25, 127)(26, 172)(27, 176)(28, 173)(29, 166)(30, 168)(31, 129)(32, 175)(33, 169)(34, 130)(35, 177)(36, 142)(37, 131)(38, 136)(39, 139)(40, 140)(41, 141)(42, 178)(43, 133)(44, 134)(45, 138)(46, 179)(47, 154)(48, 143)(49, 148)(50, 151)(51, 152)(52, 153)(53, 180)(54, 145)(55, 146)(56, 150)(57, 163)(58, 160)(59, 174)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.937
Graph:: simple bipartite
	v = 36 e = 120 f = 34
	degree seq :: [ 4^30, 20^6 ]

E26.927 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 15})
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 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-2 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1, Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y1, (Y2^-1 * Y3 * Y1)^2, Y2^-1 * Y3^2 * Y2^-3, (Y2^-1 * Y3 * Y2^-1)^2, (Y2^2 * Y1)^2, (Y3^-1 * Y2^-1 * Y1)^2, Y2 * Y3^4 * Y2 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 11, 71)(4, 64, 10, 70)(5, 65, 18, 78)(6, 66, 8, 68)(7, 67, 25, 85)(9, 69, 32, 92)(12, 72, 34, 94)(13, 73, 37, 97)(14, 74, 31, 91)(15, 75, 35, 95)(16, 76, 38, 98)(17, 77, 28, 88)(19, 79, 36, 96)(20, 80, 26, 86)(21, 81, 29, 89)(22, 82, 33, 93)(23, 83, 27, 87)(24, 84, 30, 90)(39, 99, 59, 119)(40, 100, 54, 114)(41, 101, 58, 118)(42, 102, 52, 112)(43, 103, 55, 115)(44, 104, 50, 110)(45, 105, 53, 113)(46, 106, 57, 117)(47, 107, 56, 116)(48, 108, 51, 111)(49, 109, 60, 120)(121, 181, 123, 183, 132, 192, 160, 220, 136, 196, 163, 223, 144, 204, 167, 227, 140, 200, 125, 185)(122, 182, 127, 187, 146, 206, 170, 230, 150, 210, 173, 233, 158, 218, 177, 237, 154, 214, 129, 189)(124, 184, 135, 195, 161, 221, 179, 239, 168, 228, 143, 203, 126, 186, 142, 202, 162, 222, 137, 197)(128, 188, 149, 209, 171, 231, 180, 240, 178, 238, 157, 217, 130, 190, 156, 216, 172, 232, 151, 211)(131, 191, 159, 219, 138, 198, 155, 215, 176, 236, 148, 208, 175, 235, 153, 213, 174, 234, 147, 207)(133, 193, 145, 205, 169, 229, 152, 212, 141, 201, 166, 226, 134, 194, 165, 225, 139, 199, 164, 224)
	L = (1, 124)(2, 128)(3, 133)(4, 136)(5, 139)(6, 121)(7, 147)(8, 150)(9, 153)(10, 122)(11, 151)(12, 161)(13, 163)(14, 123)(15, 165)(16, 168)(17, 166)(18, 149)(19, 160)(20, 162)(21, 125)(22, 152)(23, 145)(24, 126)(25, 137)(26, 171)(27, 173)(28, 127)(29, 175)(30, 178)(31, 176)(32, 135)(33, 170)(34, 172)(35, 129)(36, 138)(37, 131)(38, 130)(39, 177)(40, 169)(41, 144)(42, 132)(43, 141)(44, 142)(45, 143)(46, 179)(47, 134)(48, 140)(49, 167)(50, 159)(51, 158)(52, 146)(53, 155)(54, 156)(55, 157)(56, 180)(57, 148)(58, 154)(59, 164)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.933
Graph:: simple bipartite
	v = 36 e = 120 f = 34
	degree seq :: [ 4^30, 20^6 ]

E26.928 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 15})
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, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, Y1^-1 * Y2 * Y1 * Y2, (R * Y1)^2, Y1 * Y3 * Y1 * Y3 * Y1^3, Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 6, 66, 15, 75, 27, 87, 38, 98, 52, 112, 48, 108, 50, 110, 55, 115, 49, 109, 26, 86, 32, 92, 14, 74, 5, 65)(3, 63, 7, 67, 16, 76, 33, 93, 42, 102, 53, 113, 59, 119, 56, 116, 58, 118, 60, 120, 57, 117, 41, 101, 47, 107, 24, 84, 10, 70)(4, 64, 11, 71, 25, 85, 30, 90, 13, 73, 29, 89, 35, 95, 17, 77, 31, 91, 39, 99, 20, 80, 8, 68, 19, 79, 28, 88, 12, 72)(9, 69, 21, 81, 40, 100, 45, 105, 23, 83, 44, 104, 51, 111, 34, 94, 46, 106, 54, 114, 37, 97, 18, 78, 36, 96, 43, 103, 22, 82)(121, 181, 123, 183)(122, 182, 127, 187)(124, 184, 129, 189)(125, 185, 130, 190)(126, 186, 136, 196)(128, 188, 138, 198)(131, 191, 141, 201)(132, 192, 142, 202)(133, 193, 143, 203)(134, 194, 144, 204)(135, 195, 153, 213)(137, 197, 154, 214)(139, 199, 156, 216)(140, 200, 157, 217)(145, 205, 160, 220)(146, 206, 161, 221)(147, 207, 162, 222)(148, 208, 163, 223)(149, 209, 164, 224)(150, 210, 165, 225)(151, 211, 166, 226)(152, 212, 167, 227)(155, 215, 171, 231)(158, 218, 173, 233)(159, 219, 174, 234)(168, 228, 176, 236)(169, 229, 177, 237)(170, 230, 178, 238)(172, 232, 179, 239)(175, 235, 180, 240)
	L = (1, 124)(2, 128)(3, 129)(4, 121)(5, 133)(6, 137)(7, 138)(8, 122)(9, 123)(10, 143)(11, 146)(12, 147)(13, 125)(14, 151)(15, 150)(16, 154)(17, 126)(18, 127)(19, 152)(20, 158)(21, 161)(22, 162)(23, 130)(24, 166)(25, 168)(26, 131)(27, 132)(28, 170)(29, 169)(30, 135)(31, 134)(32, 139)(33, 165)(34, 136)(35, 172)(36, 167)(37, 173)(38, 140)(39, 175)(40, 176)(41, 141)(42, 142)(43, 178)(44, 177)(45, 153)(46, 144)(47, 156)(48, 145)(49, 149)(50, 148)(51, 179)(52, 155)(53, 157)(54, 180)(55, 159)(56, 160)(57, 164)(58, 163)(59, 171)(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, 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 E26.919
Graph:: simple bipartite
	v = 34 e = 120 f = 36
	degree seq :: [ 4^30, 30^4 ]

E26.929 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 15})
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, Y3^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y2 * Y3 * Y1^-1 * Y2, Y1^3 * Y3 * Y1 * Y3 * Y1, Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1, Y1^-1 * Y2 * Y1^3 * Y2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 6, 66, 17, 77, 29, 89, 45, 105, 57, 117, 49, 109, 55, 115, 59, 119, 51, 111, 26, 86, 40, 100, 16, 76, 5, 65)(3, 63, 9, 69, 25, 85, 35, 95, 14, 74, 34, 94, 42, 102, 18, 78, 38, 98, 47, 107, 22, 82, 7, 67, 20, 80, 31, 91, 11, 71)(4, 64, 12, 72, 32, 92, 37, 97, 15, 75, 36, 96, 43, 103, 19, 79, 39, 99, 48, 108, 24, 84, 8, 68, 23, 83, 33, 93, 13, 73)(10, 70, 21, 81, 41, 101, 54, 114, 30, 90, 46, 106, 58, 118, 50, 110, 56, 116, 60, 120, 52, 112, 27, 87, 44, 104, 53, 113, 28, 88)(121, 181, 123, 183)(122, 182, 127, 187)(124, 184, 130, 190)(125, 185, 134, 194)(126, 186, 138, 198)(128, 188, 141, 201)(129, 189, 146, 206)(131, 191, 149, 209)(132, 192, 147, 207)(133, 193, 150, 210)(135, 195, 148, 208)(136, 196, 158, 218)(137, 197, 155, 215)(139, 199, 161, 221)(140, 200, 160, 220)(142, 202, 165, 225)(143, 203, 164, 224)(144, 204, 166, 226)(145, 205, 169, 229)(151, 211, 175, 235)(152, 212, 170, 230)(153, 213, 176, 236)(154, 214, 171, 231)(156, 216, 172, 232)(157, 217, 174, 234)(159, 219, 173, 233)(162, 222, 177, 237)(163, 223, 178, 238)(167, 227, 179, 239)(168, 228, 180, 240)
	L = (1, 124)(2, 128)(3, 130)(4, 121)(5, 135)(6, 139)(7, 141)(8, 122)(9, 147)(10, 123)(11, 150)(12, 146)(13, 149)(14, 148)(15, 125)(16, 159)(17, 157)(18, 161)(19, 126)(20, 164)(21, 127)(22, 166)(23, 160)(24, 165)(25, 170)(26, 132)(27, 129)(28, 134)(29, 133)(30, 131)(31, 176)(32, 169)(33, 175)(34, 172)(35, 174)(36, 171)(37, 137)(38, 173)(39, 136)(40, 143)(41, 138)(42, 178)(43, 177)(44, 140)(45, 144)(46, 142)(47, 180)(48, 179)(49, 152)(50, 145)(51, 156)(52, 154)(53, 158)(54, 155)(55, 153)(56, 151)(57, 163)(58, 162)(59, 168)(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, 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 E26.918
Graph:: simple bipartite
	v = 34 e = 120 f = 36
	degree seq :: [ 4^30, 30^4 ]

E26.930 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 15})
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, (Y1^-1, Y3), (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^6, Y3^-2 * Y2 * Y1 * Y2 * Y1^-1, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^5 * Y3^2, Y2 * Y1^-2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, Y3 * Y1^-1 * Y3^2 * Y2 * Y3^-1 * Y1 * Y2, R * Y3^-2 * Y2 * Y3^2 * R * Y2 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 7, 67, 21, 81, 34, 94, 20, 80, 30, 90, 50, 110, 57, 117, 39, 99, 15, 75, 29, 89, 44, 104, 18, 78, 5, 65)(3, 63, 11, 71, 31, 91, 42, 102, 17, 77, 37, 97, 48, 108, 22, 82, 43, 103, 53, 113, 27, 87, 8, 68, 25, 85, 35, 95, 13, 73)(4, 64, 9, 69, 23, 83, 45, 105, 19, 79, 6, 66, 10, 70, 24, 84, 46, 106, 55, 115, 38, 98, 54, 114, 60, 120, 41, 101, 16, 76)(12, 72, 28, 88, 51, 111, 58, 118, 36, 96, 14, 74, 32, 92, 47, 107, 59, 119, 40, 100, 52, 112, 26, 86, 49, 109, 56, 116, 33, 93)(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, 149, 209)(133, 193, 154, 214)(135, 195, 157, 217)(136, 196, 160, 220)(138, 198, 163, 223)(139, 199, 156, 216)(140, 200, 147, 207)(141, 201, 162, 222)(143, 203, 169, 229)(144, 204, 167, 227)(145, 205, 164, 224)(150, 210, 168, 228)(151, 211, 170, 230)(152, 212, 174, 234)(153, 213, 175, 235)(155, 215, 177, 237)(158, 218, 172, 232)(159, 219, 173, 233)(161, 221, 176, 236)(165, 225, 179, 239)(166, 226, 178, 238)(171, 231, 180, 240)
	L = (1, 124)(2, 129)(3, 132)(4, 135)(5, 136)(6, 121)(7, 143)(8, 146)(9, 149)(10, 122)(11, 148)(12, 147)(13, 153)(14, 123)(15, 158)(16, 159)(17, 156)(18, 161)(19, 125)(20, 126)(21, 165)(22, 167)(23, 164)(24, 127)(25, 169)(26, 168)(27, 172)(28, 128)(29, 174)(30, 130)(31, 171)(32, 131)(33, 173)(34, 139)(35, 176)(36, 133)(37, 134)(38, 140)(39, 175)(40, 137)(41, 177)(42, 178)(43, 179)(44, 180)(45, 138)(46, 141)(47, 151)(48, 152)(49, 142)(50, 144)(51, 145)(52, 157)(53, 160)(54, 150)(55, 154)(56, 163)(57, 166)(58, 155)(59, 162)(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, 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 E26.917
Graph:: simple bipartite
	v = 34 e = 120 f = 36
	degree seq :: [ 4^30, 30^4 ]

E26.931 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 15})
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, Y2^2, Y3^2, (R * Y2)^2, (Y2 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y2 * Y3)^2, Y1 * Y2 * Y1^-4 * Y2, (Y1^-1 * Y2 * Y1^-1 * Y3)^2, Y1^-1 * Y3 * Y1^3 * Y3 * Y1^-2, (Y3 * Y1^-1)^10 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 6, 66, 17, 77, 26, 86, 45, 105, 57, 117, 55, 115, 49, 109, 59, 119, 53, 113, 29, 89, 40, 100, 16, 76, 5, 65)(3, 63, 9, 69, 25, 85, 22, 82, 7, 67, 20, 80, 44, 104, 38, 98, 18, 78, 41, 101, 35, 95, 14, 74, 34, 94, 31, 91, 11, 71)(4, 64, 12, 72, 32, 92, 37, 97, 15, 75, 36, 96, 43, 103, 19, 79, 39, 99, 48, 108, 24, 84, 8, 68, 23, 83, 33, 93, 13, 73)(10, 70, 28, 88, 52, 112, 47, 107, 30, 90, 54, 114, 60, 120, 50, 110, 56, 116, 58, 118, 46, 106, 27, 87, 51, 111, 42, 102, 21, 81)(121, 181, 123, 183)(122, 182, 127, 187)(124, 184, 130, 190)(125, 185, 134, 194)(126, 186, 138, 198)(128, 188, 141, 201)(129, 189, 146, 206)(131, 191, 149, 209)(132, 192, 150, 210)(133, 193, 147, 207)(135, 195, 148, 208)(136, 196, 158, 218)(137, 197, 154, 214)(139, 199, 162, 222)(140, 200, 165, 225)(142, 202, 160, 220)(143, 203, 167, 227)(144, 204, 166, 226)(145, 205, 169, 229)(151, 211, 175, 235)(152, 212, 176, 236)(153, 213, 170, 230)(155, 215, 173, 233)(156, 216, 174, 234)(157, 217, 171, 231)(159, 219, 172, 232)(161, 221, 177, 237)(163, 223, 178, 238)(164, 224, 179, 239)(168, 228, 180, 240)
	L = (1, 124)(2, 128)(3, 130)(4, 121)(5, 135)(6, 139)(7, 141)(8, 122)(9, 147)(10, 123)(11, 150)(12, 149)(13, 146)(14, 148)(15, 125)(16, 159)(17, 157)(18, 162)(19, 126)(20, 166)(21, 127)(22, 167)(23, 160)(24, 165)(25, 170)(26, 133)(27, 129)(28, 134)(29, 132)(30, 131)(31, 176)(32, 175)(33, 169)(34, 171)(35, 174)(36, 173)(37, 137)(38, 172)(39, 136)(40, 143)(41, 178)(42, 138)(43, 177)(44, 180)(45, 144)(46, 140)(47, 142)(48, 179)(49, 153)(50, 145)(51, 154)(52, 158)(53, 156)(54, 155)(55, 152)(56, 151)(57, 163)(58, 161)(59, 168)(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, 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 E26.921
Graph:: simple bipartite
	v = 34 e = 120 f = 36
	degree seq :: [ 4^30, 30^4 ]

E26.932 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 15})
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, Y2^2, (Y3^-1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, Y3^2 * Y1^3, (Y2 * Y1^-1 * R)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y2 * Y3^-1 * Y1 * Y2, (Y1 * Y3^-1 * Y2)^2, Y3^10, (Y3^-1 * Y1^-1)^10 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 7, 67, 22, 82, 31, 91, 50, 110, 59, 119, 46, 106, 40, 100, 54, 114, 56, 116, 36, 96, 16, 76, 19, 79, 5, 65)(3, 63, 11, 71, 32, 92, 27, 87, 8, 68, 25, 85, 51, 111, 43, 103, 23, 83, 47, 107, 41, 101, 17, 77, 35, 95, 38, 98, 13, 73)(4, 64, 15, 75, 21, 81, 6, 66, 18, 78, 42, 102, 45, 105, 20, 80, 44, 104, 49, 109, 24, 84, 9, 69, 29, 89, 30, 90, 10, 70)(12, 72, 34, 94, 28, 88, 14, 74, 37, 97, 57, 117, 53, 113, 39, 99, 58, 118, 60, 120, 52, 112, 33, 93, 55, 115, 48, 108, 26, 86)(121, 181, 123, 183)(122, 182, 128, 188)(124, 184, 134, 194)(125, 185, 137, 197)(126, 186, 132, 192)(127, 187, 143, 203)(129, 189, 148, 208)(130, 190, 146, 206)(131, 191, 151, 211)(133, 193, 156, 216)(135, 195, 159, 219)(136, 196, 147, 207)(138, 198, 157, 217)(139, 199, 163, 223)(140, 200, 154, 214)(141, 201, 153, 213)(142, 202, 155, 215)(144, 204, 168, 228)(145, 205, 170, 230)(149, 209, 173, 233)(150, 210, 172, 232)(152, 212, 160, 220)(158, 218, 166, 226)(161, 221, 176, 236)(162, 222, 178, 238)(164, 224, 177, 237)(165, 225, 175, 235)(167, 227, 179, 239)(169, 229, 180, 240)(171, 231, 174, 234)
	L = (1, 124)(2, 129)(3, 132)(4, 136)(5, 138)(6, 121)(7, 140)(8, 146)(9, 139)(10, 122)(11, 153)(12, 155)(13, 157)(14, 123)(15, 160)(16, 149)(17, 154)(18, 156)(19, 164)(20, 125)(21, 151)(22, 126)(23, 168)(24, 127)(25, 172)(26, 131)(27, 134)(28, 128)(29, 174)(30, 170)(31, 130)(32, 159)(33, 158)(34, 143)(35, 175)(36, 135)(37, 137)(38, 178)(39, 133)(40, 150)(41, 177)(42, 166)(43, 148)(44, 176)(45, 142)(46, 141)(47, 180)(48, 145)(49, 179)(50, 144)(51, 173)(52, 152)(53, 147)(54, 169)(55, 167)(56, 162)(57, 163)(58, 161)(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, 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 E26.925
Graph:: simple bipartite
	v = 34 e = 120 f = 36
	degree seq :: [ 4^30, 30^4 ]

E26.933 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 15})
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, Y2^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y2 * Y3^-1 * Y1^-1 * Y3 * Y2 * Y1^-1, Y3^-2 * Y1^-1 * Y3^2 * Y1, Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y1, (Y1 * Y3^-1 * Y2)^2, (Y1 * Y3 * Y2)^2, (Y1^2 * Y3)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1 * Y3^-3, Y2 * Y1^4 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 7, 67, 25, 85, 37, 97, 49, 109, 16, 76, 33, 93, 55, 115, 24, 84, 35, 95, 42, 102, 54, 114, 20, 80, 5, 65)(3, 63, 11, 71, 36, 96, 30, 90, 8, 68, 28, 88, 41, 101, 53, 113, 26, 86, 47, 107, 51, 111, 18, 78, 50, 110, 44, 104, 13, 73)(4, 64, 15, 75, 48, 108, 52, 112, 19, 79, 10, 70, 34, 94, 27, 87, 23, 83, 6, 66, 22, 82, 9, 69, 32, 92, 21, 81, 17, 77)(12, 72, 40, 100, 60, 120, 57, 117, 43, 103, 39, 99, 59, 119, 56, 116, 31, 91, 14, 74, 46, 106, 38, 98, 58, 118, 45, 105, 29, 89)(121, 181, 123, 183)(122, 182, 128, 188)(124, 184, 134, 194)(125, 185, 138, 198)(126, 186, 132, 192)(127, 187, 146, 206)(129, 189, 151, 211)(130, 190, 149, 209)(131, 191, 157, 217)(133, 193, 162, 222)(135, 195, 165, 225)(136, 196, 167, 227)(137, 197, 159, 219)(139, 199, 166, 226)(140, 200, 173, 233)(141, 201, 160, 220)(142, 202, 163, 223)(143, 203, 158, 218)(144, 204, 161, 221)(145, 205, 170, 230)(147, 207, 176, 236)(148, 208, 169, 229)(150, 210, 174, 234)(152, 212, 178, 238)(153, 213, 164, 224)(154, 214, 177, 237)(155, 215, 171, 231)(156, 216, 175, 235)(168, 228, 180, 240)(172, 232, 179, 239)
	L = (1, 124)(2, 129)(3, 132)(4, 136)(5, 139)(6, 121)(7, 147)(8, 149)(9, 153)(10, 122)(11, 158)(12, 161)(13, 163)(14, 123)(15, 127)(16, 154)(17, 155)(18, 160)(19, 169)(20, 143)(21, 125)(22, 162)(23, 157)(24, 126)(25, 172)(26, 165)(27, 175)(28, 166)(29, 171)(30, 177)(31, 128)(32, 145)(33, 168)(34, 174)(35, 130)(36, 176)(37, 137)(38, 173)(39, 131)(40, 156)(41, 179)(42, 135)(43, 148)(44, 151)(45, 133)(46, 138)(47, 134)(48, 140)(49, 142)(50, 178)(51, 159)(52, 144)(53, 180)(54, 152)(55, 141)(56, 146)(57, 167)(58, 150)(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) :: { ( 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 E26.927
Graph:: simple bipartite
	v = 34 e = 120 f = 36
	degree seq :: [ 4^30, 30^4 ]

E26.934 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 15})
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, Y2^2, (Y3^-1 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^2 * Y3 * Y1^-1 * Y3, Y1 * Y3^3 * Y1 * Y3, Y2 * Y3 * Y1^-1 * Y3^-1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y1^2 * Y3^-1)^2, (Y1 * Y3 * Y2)^2, Y2 * Y1^4 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 7, 67, 25, 85, 37, 97, 48, 108, 24, 84, 35, 95, 50, 110, 16, 76, 33, 93, 42, 102, 55, 115, 20, 80, 5, 65)(3, 63, 11, 71, 36, 96, 30, 90, 8, 68, 28, 88, 47, 107, 53, 113, 26, 86, 41, 101, 52, 112, 18, 78, 51, 111, 44, 104, 13, 73)(4, 64, 15, 75, 10, 70, 34, 94, 19, 79, 23, 83, 6, 66, 22, 82, 54, 114, 49, 109, 21, 81, 9, 69, 32, 92, 27, 87, 17, 77)(12, 72, 40, 100, 39, 99, 57, 117, 43, 103, 31, 91, 14, 74, 46, 106, 60, 120, 58, 118, 45, 105, 38, 98, 59, 119, 56, 116, 29, 89)(121, 181, 123, 183)(122, 182, 128, 188)(124, 184, 134, 194)(125, 185, 138, 198)(126, 186, 132, 192)(127, 187, 146, 206)(129, 189, 151, 211)(130, 190, 149, 209)(131, 191, 157, 217)(133, 193, 162, 222)(135, 195, 165, 225)(136, 196, 167, 227)(137, 197, 159, 219)(139, 199, 166, 226)(140, 200, 173, 233)(141, 201, 160, 220)(142, 202, 163, 223)(143, 203, 158, 218)(144, 204, 161, 221)(145, 205, 171, 231)(147, 207, 176, 236)(148, 208, 168, 228)(150, 210, 175, 235)(152, 212, 178, 238)(153, 213, 172, 232)(154, 214, 177, 237)(155, 215, 164, 224)(156, 216, 170, 230)(169, 229, 179, 239)(174, 234, 180, 240)
	L = (1, 124)(2, 129)(3, 132)(4, 136)(5, 139)(6, 121)(7, 142)(8, 149)(9, 153)(10, 122)(11, 158)(12, 161)(13, 163)(14, 123)(15, 168)(16, 169)(17, 140)(18, 160)(19, 170)(20, 174)(21, 125)(22, 162)(23, 157)(24, 126)(25, 154)(26, 176)(27, 127)(28, 165)(29, 164)(30, 177)(31, 128)(32, 144)(33, 143)(34, 175)(35, 130)(36, 166)(37, 137)(38, 172)(39, 131)(40, 148)(41, 178)(42, 135)(43, 146)(44, 180)(45, 133)(46, 138)(47, 134)(48, 141)(49, 145)(50, 147)(51, 179)(52, 151)(53, 159)(54, 155)(55, 152)(56, 156)(57, 171)(58, 150)(59, 167)(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, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.923
Graph:: simple bipartite
	v = 34 e = 120 f = 36
	degree seq :: [ 4^30, 30^4 ]

E26.935 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 15})
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 :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (Y1^-1 * Y2)^2, (R * Y1)^2, Y1 * Y3 * Y1 * Y3 * Y1^3, Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 6, 66, 15, 75, 27, 87, 38, 98, 52, 112, 48, 108, 50, 110, 55, 115, 49, 109, 26, 86, 32, 92, 14, 74, 5, 65)(3, 63, 9, 69, 21, 81, 40, 100, 46, 106, 56, 116, 60, 120, 57, 117, 58, 118, 59, 119, 54, 114, 45, 105, 33, 93, 16, 76, 7, 67)(4, 64, 11, 71, 25, 85, 30, 90, 13, 73, 29, 89, 35, 95, 17, 77, 31, 91, 39, 99, 20, 80, 8, 68, 19, 79, 28, 88, 12, 72)(10, 70, 23, 83, 44, 104, 37, 97, 18, 78, 36, 96, 53, 113, 41, 101, 34, 94, 51, 111, 43, 103, 22, 82, 42, 102, 47, 107, 24, 84)(121, 181, 123, 183)(122, 182, 127, 187)(124, 184, 130, 190)(125, 185, 129, 189)(126, 186, 136, 196)(128, 188, 138, 198)(131, 191, 144, 204)(132, 192, 143, 203)(133, 193, 142, 202)(134, 194, 141, 201)(135, 195, 153, 213)(137, 197, 154, 214)(139, 199, 157, 217)(140, 200, 156, 216)(145, 205, 167, 227)(146, 206, 166, 226)(147, 207, 165, 225)(148, 208, 164, 224)(149, 209, 163, 223)(150, 210, 162, 222)(151, 211, 161, 221)(152, 212, 160, 220)(155, 215, 171, 231)(158, 218, 174, 234)(159, 219, 173, 233)(168, 228, 178, 238)(169, 229, 176, 236)(170, 230, 177, 237)(172, 232, 179, 239)(175, 235, 180, 240)
	L = (1, 124)(2, 128)(3, 130)(4, 121)(5, 133)(6, 137)(7, 138)(8, 122)(9, 142)(10, 123)(11, 146)(12, 147)(13, 125)(14, 151)(15, 150)(16, 154)(17, 126)(18, 127)(19, 152)(20, 158)(21, 161)(22, 129)(23, 165)(24, 166)(25, 168)(26, 131)(27, 132)(28, 170)(29, 169)(30, 135)(31, 134)(32, 139)(33, 162)(34, 136)(35, 172)(36, 174)(37, 160)(38, 140)(39, 175)(40, 157)(41, 141)(42, 153)(43, 176)(44, 177)(45, 143)(46, 144)(47, 178)(48, 145)(49, 149)(50, 148)(51, 179)(52, 155)(53, 180)(54, 156)(55, 159)(56, 163)(57, 164)(58, 167)(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, 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 E26.920
Graph:: simple bipartite
	v = 34 e = 120 f = 36
	degree seq :: [ 4^30, 30^4 ]

E26.936 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 15})
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, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, Y3 * Y1^3 * Y3, (R * Y2 * Y3^-1)^2, Y3^10, (Y3^-1 * Y1^-1)^10 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 7, 67, 20, 80, 27, 87, 43, 103, 55, 115, 40, 100, 35, 95, 47, 107, 54, 114, 36, 96, 15, 75, 17, 77, 5, 65)(3, 63, 11, 71, 28, 88, 34, 94, 51, 111, 59, 119, 58, 118, 53, 113, 52, 112, 60, 120, 57, 117, 45, 105, 32, 92, 21, 81, 8, 68)(4, 64, 14, 74, 19, 79, 6, 66, 16, 76, 37, 97, 39, 99, 18, 78, 38, 98, 42, 102, 22, 82, 9, 69, 25, 85, 26, 86, 10, 70)(12, 72, 31, 91, 33, 93, 13, 73, 23, 83, 44, 104, 46, 106, 24, 84, 41, 101, 56, 116, 48, 108, 29, 89, 49, 109, 50, 110, 30, 90)(121, 181, 123, 183)(122, 182, 128, 188)(124, 184, 133, 193)(125, 185, 131, 191)(126, 186, 132, 192)(127, 187, 141, 201)(129, 189, 144, 204)(130, 190, 143, 203)(134, 194, 153, 213)(135, 195, 154, 214)(136, 196, 150, 210)(137, 197, 148, 208)(138, 198, 149, 209)(139, 199, 151, 211)(140, 200, 152, 212)(142, 202, 161, 221)(145, 205, 166, 226)(146, 206, 164, 224)(147, 207, 165, 225)(155, 215, 173, 233)(156, 216, 171, 231)(157, 217, 170, 230)(158, 218, 168, 228)(159, 219, 169, 229)(160, 220, 172, 232)(162, 222, 176, 236)(163, 223, 177, 237)(167, 227, 178, 238)(174, 234, 179, 239)(175, 235, 180, 240)
	L = (1, 124)(2, 129)(3, 132)(4, 135)(5, 136)(6, 121)(7, 138)(8, 143)(9, 137)(10, 122)(11, 149)(12, 152)(13, 123)(14, 155)(15, 145)(16, 156)(17, 158)(18, 125)(19, 147)(20, 126)(21, 161)(22, 127)(23, 165)(24, 128)(25, 167)(26, 163)(27, 130)(28, 144)(29, 141)(30, 131)(31, 172)(32, 169)(33, 171)(34, 133)(35, 146)(36, 134)(37, 160)(38, 174)(39, 140)(40, 139)(41, 177)(42, 175)(43, 142)(44, 173)(45, 151)(46, 154)(47, 162)(48, 148)(49, 180)(50, 179)(51, 150)(52, 170)(53, 153)(54, 157)(55, 159)(56, 178)(57, 164)(58, 166)(59, 168)(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, 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 E26.924
Graph:: simple bipartite
	v = 34 e = 120 f = 36
	degree seq :: [ 4^30, 30^4 ]

E26.937 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 15})
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, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (Y1^-1 * Y2)^2, (R * Y1)^2, Y1 * Y3 * Y1^-2 * Y3, Y3^-2 * Y1^-1 * Y3^2 * Y1, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1 * Y3^-3, (Y1^2 * Y3)^2, Y1^15 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 7, 67, 23, 83, 44, 104, 43, 103, 15, 75, 29, 89, 47, 107, 22, 82, 31, 91, 42, 102, 46, 106, 18, 78, 5, 65)(3, 63, 11, 71, 32, 92, 54, 114, 60, 120, 50, 110, 36, 96, 56, 116, 53, 113, 40, 100, 58, 118, 59, 119, 48, 108, 24, 84, 8, 68)(4, 64, 14, 74, 41, 101, 45, 105, 17, 77, 10, 70, 30, 90, 25, 85, 21, 81, 6, 66, 20, 80, 9, 69, 28, 88, 19, 79, 16, 76)(12, 72, 35, 95, 49, 109, 51, 111, 26, 86, 34, 94, 57, 117, 55, 115, 39, 99, 13, 73, 38, 98, 33, 93, 52, 112, 27, 87, 37, 97)(121, 181, 123, 183)(122, 182, 128, 188)(124, 184, 133, 193)(125, 185, 131, 191)(126, 186, 132, 192)(127, 187, 144, 204)(129, 189, 147, 207)(130, 190, 146, 206)(134, 194, 159, 219)(135, 195, 160, 220)(136, 196, 158, 218)(137, 197, 154, 214)(138, 198, 152, 212)(139, 199, 153, 213)(140, 200, 157, 217)(141, 201, 155, 215)(142, 202, 156, 216)(143, 203, 168, 228)(145, 205, 169, 229)(148, 208, 172, 232)(149, 209, 173, 233)(150, 210, 171, 231)(151, 211, 170, 230)(161, 221, 175, 235)(162, 222, 180, 240)(163, 223, 178, 238)(164, 224, 179, 239)(165, 225, 177, 237)(166, 226, 174, 234)(167, 227, 176, 236)
	L = (1, 124)(2, 129)(3, 132)(4, 135)(5, 137)(6, 121)(7, 145)(8, 146)(9, 149)(10, 122)(11, 153)(12, 156)(13, 123)(14, 127)(15, 150)(16, 151)(17, 163)(18, 141)(19, 125)(20, 162)(21, 164)(22, 126)(23, 165)(24, 159)(25, 167)(26, 170)(27, 128)(28, 143)(29, 161)(30, 166)(31, 130)(32, 175)(33, 176)(34, 131)(35, 152)(36, 177)(37, 178)(38, 179)(39, 180)(40, 133)(41, 138)(42, 134)(43, 140)(44, 136)(45, 142)(46, 148)(47, 139)(48, 172)(49, 144)(50, 158)(51, 160)(52, 174)(53, 147)(54, 171)(55, 173)(56, 169)(57, 168)(58, 154)(59, 155)(60, 157)(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, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.926
Graph:: simple bipartite
	v = 34 e = 120 f = 36
	degree seq :: [ 4^30, 30^4 ]

E26.938 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 15})
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, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (Y1 * Y2)^2, (R * Y1)^2, Y1 * Y3^-1 * Y1^-2 * Y3^-1, Y1^-1 * Y3^-3 * Y1^-1 * Y3^-1, Y3^-1 * Y1^-1 * Y3^-3 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y1^2 * Y3^-1)^2, Y1^15 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 7, 67, 23, 83, 45, 105, 41, 101, 22, 82, 31, 91, 44, 104, 15, 75, 29, 89, 42, 102, 47, 107, 18, 78, 5, 65)(3, 63, 11, 71, 32, 92, 54, 114, 60, 120, 53, 113, 40, 100, 58, 118, 50, 110, 36, 96, 57, 117, 59, 119, 48, 108, 24, 84, 8, 68)(4, 64, 14, 74, 10, 70, 30, 90, 17, 77, 21, 81, 6, 66, 20, 80, 46, 106, 43, 103, 19, 79, 9, 69, 28, 88, 25, 85, 16, 76)(12, 72, 35, 95, 34, 94, 51, 111, 26, 86, 39, 99, 13, 73, 38, 98, 49, 109, 52, 112, 27, 87, 33, 93, 56, 116, 55, 115, 37, 97)(121, 181, 123, 183)(122, 182, 128, 188)(124, 184, 133, 193)(125, 185, 131, 191)(126, 186, 132, 192)(127, 187, 144, 204)(129, 189, 147, 207)(130, 190, 146, 206)(134, 194, 159, 219)(135, 195, 160, 220)(136, 196, 158, 218)(137, 197, 154, 214)(138, 198, 152, 212)(139, 199, 153, 213)(140, 200, 157, 217)(141, 201, 155, 215)(142, 202, 156, 216)(143, 203, 168, 228)(145, 205, 169, 229)(148, 208, 172, 232)(149, 209, 173, 233)(150, 210, 171, 231)(151, 211, 170, 230)(161, 221, 177, 237)(162, 222, 180, 240)(163, 223, 176, 236)(164, 224, 178, 238)(165, 225, 179, 239)(166, 226, 175, 235)(167, 227, 174, 234)
	L = (1, 124)(2, 129)(3, 132)(4, 135)(5, 137)(6, 121)(7, 140)(8, 146)(9, 149)(10, 122)(11, 153)(12, 156)(13, 123)(14, 161)(15, 163)(16, 138)(17, 164)(18, 166)(19, 125)(20, 162)(21, 165)(22, 126)(23, 150)(24, 169)(25, 127)(26, 170)(27, 128)(28, 142)(29, 141)(30, 167)(31, 130)(32, 158)(33, 177)(34, 131)(35, 173)(36, 172)(37, 144)(38, 179)(39, 180)(40, 133)(41, 139)(42, 134)(43, 143)(44, 145)(45, 136)(46, 151)(47, 148)(48, 176)(49, 178)(50, 175)(51, 168)(52, 174)(53, 147)(54, 171)(55, 152)(56, 160)(57, 159)(58, 154)(59, 155)(60, 157)(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, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.922
Graph:: simple bipartite
	v = 34 e = 120 f = 36
	degree seq :: [ 4^30, 30^4 ]

E26.939 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 15})
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, Y1^-2 * Y3^-2, (R * Y1)^2, (Y1^-1, Y3), (Y3 * Y2^-1)^2, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, Y1^2 * Y2^-3, Y3^-1 * Y1^2 * Y2 * Y3 * Y2, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y2^-2 * Y1^-1 * Y3^-1 * Y2^-1, Y1^10 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62, 8, 68, 27, 87, 51, 111, 57, 117, 59, 119, 44, 104, 19, 79, 5, 65)(3, 63, 13, 73, 28, 88, 11, 71, 35, 95, 30, 90, 54, 114, 48, 108, 24, 84, 16, 76)(4, 64, 10, 70, 7, 67, 12, 72, 29, 89, 52, 112, 58, 118, 60, 120, 42, 102, 20, 80)(6, 66, 22, 82, 14, 74, 40, 100, 53, 113, 39, 99, 46, 106, 21, 81, 32, 92, 9, 69)(15, 75, 34, 94, 17, 77, 36, 96, 26, 86, 37, 97, 49, 109, 55, 115, 50, 110, 43, 103)(18, 78, 31, 91, 23, 83, 33, 93, 25, 85, 38, 98, 41, 101, 56, 116, 45, 105, 47, 107)(121, 181, 123, 183, 134, 194, 128, 188, 148, 208, 173, 233, 171, 231, 155, 215, 166, 226, 179, 239, 174, 234, 152, 212, 139, 199, 144, 204, 126, 186)(122, 182, 129, 189, 150, 210, 147, 207, 142, 202, 168, 228, 177, 237, 160, 220, 136, 196, 164, 224, 159, 219, 133, 193, 125, 185, 141, 201, 131, 191)(124, 184, 138, 198, 146, 206, 127, 187, 143, 203, 169, 229, 149, 209, 145, 205, 170, 230, 178, 238, 161, 221, 135, 195, 162, 222, 165, 225, 137, 197)(130, 190, 154, 214, 158, 218, 132, 192, 156, 216, 176, 236, 172, 232, 157, 217, 167, 227, 180, 240, 175, 235, 151, 211, 140, 200, 163, 223, 153, 213)
	L = (1, 124)(2, 130)(3, 135)(4, 139)(5, 140)(6, 143)(7, 121)(8, 127)(9, 151)(10, 125)(11, 156)(12, 122)(13, 154)(14, 145)(15, 144)(16, 163)(17, 123)(18, 166)(19, 162)(20, 164)(21, 167)(22, 153)(23, 152)(24, 170)(25, 126)(26, 148)(27, 132)(28, 137)(29, 128)(30, 157)(31, 141)(32, 138)(33, 129)(34, 136)(35, 146)(36, 133)(37, 131)(38, 142)(39, 176)(40, 158)(41, 134)(42, 179)(43, 168)(44, 180)(45, 173)(46, 165)(47, 159)(48, 175)(49, 155)(50, 174)(51, 149)(52, 147)(53, 161)(54, 169)(55, 150)(56, 160)(57, 172)(58, 171)(59, 178)(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) :: { ( 4^20 ), ( 4^30 ) }
Outer automorphisms :: reflexible
Dual of E26.916
Graph:: bipartite
	v = 10 e = 120 f = 60
	degree seq :: [ 20^6, 30^4 ]

E26.940 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 10, 15})
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^-1 * Y2)^2, (Y1 * Y2)^2, (R * Y1)^2, (Y3 * Y1)^2, R * Y3 * R * Y2, (Y1^-3 * Y2)^2, Y1^3 * Y3 * Y1^-2 * Y2 * Y3 * Y2, (Y3 * Y2)^6 ]
Map:: non-degenerate
	R = (1, 62, 2, 66, 6, 74, 14, 86, 26, 96, 36, 105, 45, 114, 54, 119, 59, 110, 50, 100, 40, 101, 41, 85, 25, 73, 13, 65, 5, 61)(3, 69, 9, 79, 19, 93, 33, 92, 32, 84, 24, 99, 39, 109, 49, 118, 58, 115, 55, 106, 46, 102, 42, 87, 27, 75, 15, 67, 7, 63)(4, 71, 11, 82, 22, 97, 37, 107, 47, 111, 51, 120, 60, 113, 53, 104, 44, 91, 31, 81, 21, 95, 35, 88, 28, 76, 16, 68, 8, 64)(10, 77, 17, 89, 29, 103, 43, 112, 52, 116, 56, 117, 57, 108, 48, 98, 38, 83, 23, 72, 12, 78, 18, 90, 30, 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, 42)(28, 34)(29, 44)(32, 41)(36, 46)(37, 48)(39, 50)(43, 53)(45, 55)(47, 57)(49, 59)(51, 56)(52, 60)(54, 58)(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, 95)(87, 103)(90, 93)(91, 105)(98, 109)(100, 111)(101, 107)(102, 112)(104, 114)(106, 116)(108, 118)(110, 120)(113, 119)(115, 117)
	local type(s) :: { ( 20^30 ) }
Outer automorphisms :: reflexible
Dual of E26.942
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 60 f = 6
	degree seq :: [ 30^4 ]

E26.941 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 10, 15})
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)^2, (R * Y1)^2, (Y3 * Y1)^2, Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2, Y1^-3 * Y3 * Y2 * Y3 * Y2 * Y1^-4, Y1 * Y2 * Y1^-3 * Y3 * Y1 * Y2 * Y1^-2 * Y3, Y1^7 * Y2 * Y3 * Y2 * Y3, (Y1^-1 * Y3 * Y2 * Y3 * Y2)^5 ]
Map:: non-degenerate
	R = (1, 62, 2, 66, 6, 74, 14, 86, 26, 102, 42, 116, 56, 100, 40, 96, 36, 109, 49, 117, 57, 101, 41, 85, 25, 73, 13, 65, 5, 61)(3, 69, 9, 79, 19, 93, 33, 110, 50, 120, 60, 108, 48, 92, 32, 84, 24, 99, 39, 115, 55, 103, 43, 87, 27, 75, 15, 67, 7, 63)(4, 71, 11, 82, 22, 97, 37, 113, 53, 107, 47, 91, 31, 81, 21, 95, 35, 112, 52, 118, 58, 104, 44, 88, 28, 76, 16, 68, 8, 64)(10, 77, 17, 89, 29, 105, 45, 114, 54, 98, 38, 83, 23, 72, 12, 78, 18, 90, 30, 106, 46, 119, 59, 111, 51, 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, 43)(28, 46)(29, 47)(32, 36)(34, 52)(37, 54)(39, 56)(41, 50)(42, 55)(44, 59)(45, 53)(48, 49)(51, 58)(57, 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, 104)(87, 105)(90, 108)(91, 109)(93, 111)(95, 100)(98, 115)(101, 113)(102, 118)(103, 114)(106, 120)(107, 117)(110, 119)(112, 116)
	local type(s) :: { ( 20^30 ) }
Outer automorphisms :: reflexible
Dual of E26.943
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 60 f = 6
	degree seq :: [ 30^4 ]

E26.942 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 10, 15})
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)^2, (R * Y1)^2, (Y3 * Y1)^2, Y1^10, Y1^2 * Y2 * Y1^-3 * Y3 * Y2 * Y3 * Y2 * Y3, Y1 * Y3 * Y1^-2 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2, Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-2 * Y2 * Y1^2 * Y2 ]
Map:: non-degenerate
	R = (1, 62, 2, 66, 6, 74, 14, 86, 26, 102, 42, 101, 41, 85, 25, 73, 13, 65, 5, 61)(3, 69, 9, 79, 19, 93, 33, 111, 51, 120, 60, 103, 43, 87, 27, 75, 15, 67, 7, 63)(4, 71, 11, 82, 22, 97, 37, 116, 56, 115, 55, 104, 44, 88, 28, 76, 16, 68, 8, 64)(10, 77, 17, 89, 29, 105, 45, 119, 59, 100, 40, 110, 50, 112, 52, 94, 34, 80, 20, 70)(12, 78, 18, 90, 30, 106, 46, 114, 54, 96, 36, 109, 49, 117, 57, 98, 38, 83, 23, 72)(21, 95, 35, 113, 53, 108, 48, 92, 32, 84, 24, 99, 39, 118, 58, 107, 47, 91, 31, 81)
	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, 57)(39, 59)(41, 51)(42, 60)(44, 54)(45, 58)(48, 52)(49, 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, 104)(87, 105)(90, 108)(91, 109)(93, 112)(95, 114)(98, 118)(100, 120)(101, 116)(102, 115)(103, 119)(106, 113)(107, 117)(110, 111)
	local type(s) :: { ( 30^20 ) }
Outer automorphisms :: reflexible
Dual of E26.940
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 60 f = 4
	degree seq :: [ 20^6 ]

E26.943 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 10, 15})
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, (Y3 * Y1)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3, Y1^10, (Y2 * Y1 * Y3)^15 ]
Map:: non-degenerate
	R = (1, 62, 2, 66, 6, 74, 14, 86, 26, 98, 38, 97, 37, 85, 25, 73, 13, 65, 5, 61)(3, 69, 9, 79, 19, 92, 32, 104, 44, 109, 49, 99, 39, 87, 27, 75, 15, 67, 7, 63)(4, 71, 11, 82, 22, 95, 35, 107, 47, 110, 50, 100, 40, 88, 28, 76, 16, 68, 8, 64)(10, 77, 17, 89, 29, 101, 41, 111, 51, 117, 57, 114, 54, 105, 45, 93, 33, 80, 20, 70)(12, 78, 18, 90, 30, 102, 42, 112, 52, 118, 58, 116, 56, 108, 48, 96, 36, 83, 23, 72)(21, 94, 34, 106, 46, 115, 55, 120, 60, 119, 59, 113, 53, 103, 43, 91, 31, 84, 24, 81)
	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, 49)(40, 52)(41, 43)(45, 55)(47, 56)(50, 58)(51, 53)(54, 60)(57, 59)(61, 64)(62, 68)(63, 70)(65, 71)(66, 76)(67, 77)(69, 80)(72, 84)(73, 82)(74, 88)(75, 89)(78, 91)(79, 93)(81, 83)(85, 95)(86, 100)(87, 101)(90, 103)(92, 105)(94, 96)(97, 107)(98, 110)(99, 111)(102, 113)(104, 114)(106, 108)(109, 117)(112, 119)(115, 116)(118, 120)
	local type(s) :: { ( 30^20 ) }
Outer automorphisms :: reflexible
Dual of E26.941
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 60 f = 4
	degree seq :: [ 20^6 ]

E26.944 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 10, 15})
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 * Y3^2 * Y2 * Y1 * Y3^-2 * Y1, Y3^10, Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y3^-4, Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-4 * Y2, Y3^-2 * Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y3^2 * Y2 * Y3^-1 * Y1 ]
Map::
	R = (1, 61, 4, 64, 12, 72, 24, 84, 40, 100, 60, 120, 41, 101, 25, 85, 13, 73, 5, 65)(2, 62, 7, 67, 17, 77, 31, 91, 49, 109, 51, 111, 50, 110, 32, 92, 18, 78, 8, 68)(3, 63, 10, 70, 22, 82, 38, 98, 58, 118, 42, 102, 59, 119, 39, 99, 23, 83, 11, 71)(6, 66, 15, 75, 29, 89, 47, 107, 53, 113, 33, 93, 52, 112, 48, 108, 30, 90, 16, 76)(9, 69, 20, 80, 36, 96, 56, 116, 44, 104, 26, 86, 43, 103, 57, 117, 37, 97, 21, 81)(14, 74, 27, 87, 45, 105, 55, 115, 35, 95, 19, 79, 34, 94, 54, 114, 46, 106, 28, 88)(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, 177)(159, 176)(160, 170)(161, 169)(163, 178)(164, 179)(167, 174)(168, 175)(171, 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, 224)(208, 223)(211, 228)(212, 227)(213, 231)(216, 235)(217, 234)(220, 239)(221, 238)(222, 240)(225, 236)(226, 237)(229, 232)(230, 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) :: { ( 60, 60 ), ( 60^20 ) }
Outer automorphisms :: reflexible
Dual of E26.950
Graph:: simple bipartite
	v = 66 e = 120 f = 4
	degree seq :: [ 2^60, 20^6 ]

E26.945 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 10, 15})
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 * Y1)^2, (Y3 * Y2)^2, Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2, Y3^10, (Y3 * Y1 * Y2)^15 ]
Map::
	R = (1, 61, 4, 64, 12, 72, 24, 84, 36, 96, 48, 108, 37, 97, 25, 85, 13, 73, 5, 65)(2, 62, 7, 67, 17, 77, 29, 89, 41, 101, 52, 112, 42, 102, 30, 90, 18, 78, 8, 68)(3, 63, 10, 70, 22, 82, 34, 94, 46, 106, 56, 116, 47, 107, 35, 95, 23, 83, 11, 71)(6, 66, 15, 75, 27, 87, 39, 99, 50, 110, 58, 118, 51, 111, 40, 100, 28, 88, 16, 76)(9, 69, 20, 80, 32, 92, 44, 104, 54, 114, 60, 120, 55, 115, 45, 105, 33, 93, 21, 81)(14, 74, 19, 79, 31, 91, 43, 103, 53, 113, 59, 119, 57, 117, 49, 109, 38, 98, 26, 86)(121, 122)(123, 129)(124, 128)(125, 127)(126, 134)(130, 141)(131, 140)(132, 138)(133, 137)(135, 146)(136, 139)(142, 153)(143, 152)(144, 150)(145, 149)(147, 158)(148, 151)(154, 165)(155, 164)(156, 162)(157, 161)(159, 169)(160, 163)(166, 175)(167, 174)(168, 172)(170, 177)(171, 173)(176, 180)(178, 179)(181, 183)(182, 186)(184, 191)(185, 190)(187, 196)(188, 195)(189, 199)(192, 203)(193, 202)(194, 200)(197, 208)(198, 207)(201, 211)(204, 215)(205, 214)(206, 212)(209, 220)(210, 219)(213, 223)(216, 227)(217, 226)(218, 224)(221, 231)(222, 230)(225, 233)(228, 236)(229, 234)(232, 238)(235, 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 ), ( 60^20 ) }
Outer automorphisms :: reflexible
Dual of E26.951
Graph:: simple bipartite
	v = 66 e = 120 f = 4
	degree seq :: [ 2^60, 20^6 ]

E26.946 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 10, 15})
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 * Y3^-1 * Y2 * Y3^4, (Y2 * Y1)^6, (Y3 * Y1 * Y2)^10 ]
Map::
	R = (1, 61, 4, 64, 12, 72, 24, 84, 40, 100, 33, 93, 48, 108, 58, 118, 54, 114, 43, 103, 26, 86, 41, 101, 25, 85, 13, 73, 5, 65)(2, 62, 7, 67, 17, 77, 31, 91, 46, 106, 42, 102, 53, 113, 59, 119, 49, 109, 35, 95, 19, 79, 34, 94, 32, 92, 18, 78, 8, 68)(3, 63, 10, 70, 22, 82, 38, 98, 28, 88, 14, 74, 27, 87, 44, 104, 55, 115, 57, 117, 47, 107, 51, 111, 39, 99, 23, 83, 11, 71)(6, 66, 15, 75, 29, 89, 37, 97, 21, 81, 9, 69, 20, 80, 36, 96, 50, 110, 60, 120, 52, 112, 56, 116, 45, 105, 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, 158)(150, 164)(154, 160)(155, 168)(159, 170)(161, 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, 223)(208, 221)(211, 225)(212, 217)(213, 227)(216, 229)(220, 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) :: { ( 40, 40 ), ( 40^30 ) }
Outer automorphisms :: reflexible
Dual of E26.948
Graph:: simple bipartite
	v = 64 e = 120 f = 6
	degree seq :: [ 2^60, 30^4 ]

E26.947 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 10, 15})
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^-1 * Y1)^2, Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2, Y1 * Y3^4 * Y2 * Y1 * Y3^3 * Y2, Y2 * Y3^3 * Y1 * Y2 * Y3^5 * Y1, Y3^15, (Y1 * Y3 * Y2 * Y1 * Y2)^5 ]
Map::
	R = (1, 61, 4, 64, 12, 72, 24, 84, 40, 100, 56, 116, 42, 102, 26, 86, 33, 93, 49, 109, 57, 117, 41, 101, 25, 85, 13, 73, 5, 65)(2, 62, 7, 67, 17, 77, 31, 91, 47, 107, 51, 111, 35, 95, 19, 79, 34, 94, 50, 110, 60, 120, 48, 108, 32, 92, 18, 78, 8, 68)(3, 63, 10, 70, 22, 82, 38, 98, 54, 114, 58, 118, 44, 104, 28, 88, 14, 74, 27, 87, 43, 103, 55, 115, 39, 99, 23, 83, 11, 71)(6, 66, 15, 75, 29, 89, 45, 105, 59, 119, 53, 113, 37, 97, 21, 81, 9, 69, 20, 80, 36, 96, 52, 112, 46, 106, 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, 154)(149, 164)(150, 163)(155, 169)(158, 173)(159, 172)(160, 168)(161, 167)(162, 170)(165, 178)(166, 175)(171, 177)(174, 179)(176, 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, 222)(208, 213)(211, 226)(212, 225)(216, 231)(217, 230)(220, 235)(221, 234)(223, 236)(224, 229)(227, 232)(228, 239)(233, 240)(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) :: { ( 40, 40 ), ( 40^30 ) }
Outer automorphisms :: reflexible
Dual of E26.949
Graph:: simple bipartite
	v = 64 e = 120 f = 6
	degree seq :: [ 2^60, 30^4 ]

E26.948 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 10, 15})
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 * Y3^2 * Y2 * Y1 * Y3^-2 * Y1, Y3^10, Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y3^-4, Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-4 * Y2, Y3^-2 * Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y3^2 * Y2 * Y3^-1 * Y1 ]
Map::
	R = (1, 61, 121, 181, 4, 64, 124, 184, 12, 72, 132, 192, 24, 84, 144, 204, 40, 100, 160, 220, 60, 120, 180, 240, 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, 51, 111, 171, 231, 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, 58, 118, 178, 238, 42, 102, 162, 222, 59, 119, 179, 239, 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, 53, 113, 173, 233, 33, 93, 153, 213, 52, 112, 172, 232, 48, 108, 168, 228, 30, 90, 150, 210, 16, 76, 136, 196)(9, 69, 129, 189, 20, 80, 140, 200, 36, 96, 156, 216, 56, 116, 176, 236, 44, 104, 164, 224, 26, 86, 146, 206, 43, 103, 163, 223, 57, 117, 177, 237, 37, 97, 157, 217, 21, 81, 141, 201)(14, 74, 134, 194, 27, 87, 147, 207, 45, 105, 165, 225, 55, 115, 175, 235, 35, 95, 155, 215, 19, 79, 139, 199, 34, 94, 154, 214, 54, 114, 174, 234, 46, 106, 166, 226, 28, 88, 148, 208)
	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, 117)(39, 116)(40, 110)(41, 109)(42, 86)(43, 118)(44, 119)(45, 90)(46, 89)(47, 114)(48, 115)(49, 101)(50, 100)(51, 120)(52, 95)(53, 94)(54, 107)(55, 108)(56, 99)(57, 98)(58, 103)(59, 104)(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, 224)(148, 223)(149, 198)(150, 197)(151, 228)(152, 227)(153, 231)(154, 201)(155, 200)(156, 235)(157, 234)(158, 205)(159, 204)(160, 239)(161, 238)(162, 240)(163, 208)(164, 207)(165, 236)(166, 237)(167, 212)(168, 211)(169, 232)(170, 233)(171, 213)(172, 229)(173, 230)(174, 217)(175, 216)(176, 225)(177, 226)(178, 221)(179, 220)(180, 222)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.946
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 120 f = 64
	degree seq :: [ 40^6 ]

E26.949 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 10, 15})
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 * Y1)^2, (Y3 * Y2)^2, Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2, Y3^10, (Y3 * Y1 * Y2)^15 ]
Map::
	R = (1, 61, 121, 181, 4, 64, 124, 184, 12, 72, 132, 192, 24, 84, 144, 204, 36, 96, 156, 216, 48, 108, 168, 228, 37, 97, 157, 217, 25, 85, 145, 205, 13, 73, 133, 193, 5, 65, 125, 185)(2, 62, 122, 182, 7, 67, 127, 187, 17, 77, 137, 197, 29, 89, 149, 209, 41, 101, 161, 221, 52, 112, 172, 232, 42, 102, 162, 222, 30, 90, 150, 210, 18, 78, 138, 198, 8, 68, 128, 188)(3, 63, 123, 183, 10, 70, 130, 190, 22, 82, 142, 202, 34, 94, 154, 214, 46, 106, 166, 226, 56, 116, 176, 236, 47, 107, 167, 227, 35, 95, 155, 215, 23, 83, 143, 203, 11, 71, 131, 191)(6, 66, 126, 186, 15, 75, 135, 195, 27, 87, 147, 207, 39, 99, 159, 219, 50, 110, 170, 230, 58, 118, 178, 238, 51, 111, 171, 231, 40, 100, 160, 220, 28, 88, 148, 208, 16, 76, 136, 196)(9, 69, 129, 189, 20, 80, 140, 200, 32, 92, 152, 212, 44, 104, 164, 224, 54, 114, 174, 234, 60, 120, 180, 240, 55, 115, 175, 235, 45, 105, 165, 225, 33, 93, 153, 213, 21, 81, 141, 201)(14, 74, 134, 194, 19, 79, 139, 199, 31, 91, 151, 211, 43, 103, 163, 223, 53, 113, 173, 233, 59, 119, 179, 239, 57, 117, 177, 237, 49, 109, 169, 229, 38, 98, 158, 218, 26, 86, 146, 206)
	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, 86)(16, 79)(17, 73)(18, 72)(19, 76)(20, 71)(21, 70)(22, 93)(23, 92)(24, 90)(25, 89)(26, 75)(27, 98)(28, 91)(29, 85)(30, 84)(31, 88)(32, 83)(33, 82)(34, 105)(35, 104)(36, 102)(37, 101)(38, 87)(39, 109)(40, 103)(41, 97)(42, 96)(43, 100)(44, 95)(45, 94)(46, 115)(47, 114)(48, 112)(49, 99)(50, 117)(51, 113)(52, 108)(53, 111)(54, 107)(55, 106)(56, 120)(57, 110)(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, 200)(135, 188)(136, 187)(137, 208)(138, 207)(139, 189)(140, 194)(141, 211)(142, 193)(143, 192)(144, 215)(145, 214)(146, 212)(147, 198)(148, 197)(149, 220)(150, 219)(151, 201)(152, 206)(153, 223)(154, 205)(155, 204)(156, 227)(157, 226)(158, 224)(159, 210)(160, 209)(161, 231)(162, 230)(163, 213)(164, 218)(165, 233)(166, 217)(167, 216)(168, 236)(169, 234)(170, 222)(171, 221)(172, 238)(173, 225)(174, 229)(175, 239)(176, 228)(177, 240)(178, 232)(179, 235)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.947
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 120 f = 64
	degree seq :: [ 40^6 ]

E26.950 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 10, 15})
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 * Y3^-1 * Y2 * Y3^4, (Y2 * Y1)^6, (Y3 * Y1 * Y2)^10 ]
Map::
	R = (1, 61, 121, 181, 4, 64, 124, 184, 12, 72, 132, 192, 24, 84, 144, 204, 40, 100, 160, 220, 33, 93, 153, 213, 48, 108, 168, 228, 58, 118, 178, 238, 54, 114, 174, 234, 43, 103, 163, 223, 26, 86, 146, 206, 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, 46, 106, 166, 226, 42, 102, 162, 222, 53, 113, 173, 233, 59, 119, 179, 239, 49, 109, 169, 229, 35, 95, 155, 215, 19, 79, 139, 199, 34, 94, 154, 214, 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, 28, 88, 148, 208, 14, 74, 134, 194, 27, 87, 147, 207, 44, 104, 164, 224, 55, 115, 175, 235, 57, 117, 177, 237, 47, 107, 167, 227, 51, 111, 171, 231, 39, 99, 159, 219, 23, 83, 143, 203, 11, 71, 131, 191)(6, 66, 126, 186, 15, 75, 135, 195, 29, 89, 149, 209, 37, 97, 157, 217, 21, 81, 141, 201, 9, 69, 129, 189, 20, 80, 140, 200, 36, 96, 156, 216, 50, 110, 170, 230, 60, 120, 180, 240, 52, 112, 172, 232, 56, 116, 176, 236, 45, 105, 165, 225, 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, 98)(30, 104)(31, 85)(32, 84)(33, 79)(34, 100)(35, 108)(36, 83)(37, 82)(38, 89)(39, 110)(40, 94)(41, 106)(42, 86)(43, 113)(44, 90)(45, 115)(46, 101)(47, 112)(48, 95)(49, 118)(50, 99)(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, 223)(148, 221)(149, 198)(150, 197)(151, 225)(152, 217)(153, 227)(154, 201)(155, 200)(156, 229)(157, 212)(158, 205)(159, 204)(160, 231)(161, 208)(162, 232)(163, 207)(164, 234)(165, 211)(166, 236)(167, 213)(168, 237)(169, 216)(170, 239)(171, 220)(172, 222)(173, 240)(174, 224)(175, 238)(176, 226)(177, 228)(178, 235)(179, 230)(180, 233)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.944
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 120 f = 66
	degree seq :: [ 60^4 ]

E26.951 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 10, 15})
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^-1 * Y1)^2, Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2, Y1 * Y3^4 * Y2 * Y1 * Y3^3 * Y2, Y2 * Y3^3 * Y1 * Y2 * Y3^5 * Y1, Y3^15, (Y1 * Y3 * Y2 * Y1 * Y2)^5 ]
Map::
	R = (1, 61, 121, 181, 4, 64, 124, 184, 12, 72, 132, 192, 24, 84, 144, 204, 40, 100, 160, 220, 56, 116, 176, 236, 42, 102, 162, 222, 26, 86, 146, 206, 33, 93, 153, 213, 49, 109, 169, 229, 57, 117, 177, 237, 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, 47, 107, 167, 227, 51, 111, 171, 231, 35, 95, 155, 215, 19, 79, 139, 199, 34, 94, 154, 214, 50, 110, 170, 230, 60, 120, 180, 240, 48, 108, 168, 228, 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, 54, 114, 174, 234, 58, 118, 178, 238, 44, 104, 164, 224, 28, 88, 148, 208, 14, 74, 134, 194, 27, 87, 147, 207, 43, 103, 163, 223, 55, 115, 175, 235, 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, 59, 119, 179, 239, 53, 113, 173, 233, 37, 97, 157, 217, 21, 81, 141, 201, 9, 69, 129, 189, 20, 80, 140, 200, 36, 96, 156, 216, 52, 112, 172, 232, 46, 106, 166, 226, 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, 94)(27, 76)(28, 75)(29, 104)(30, 103)(31, 85)(32, 84)(33, 79)(34, 86)(35, 109)(36, 83)(37, 82)(38, 113)(39, 112)(40, 108)(41, 107)(42, 110)(43, 90)(44, 89)(45, 118)(46, 115)(47, 101)(48, 100)(49, 95)(50, 102)(51, 117)(52, 99)(53, 98)(54, 119)(55, 106)(56, 120)(57, 111)(58, 105)(59, 114)(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, 222)(148, 213)(149, 198)(150, 197)(151, 226)(152, 225)(153, 208)(154, 201)(155, 200)(156, 231)(157, 230)(158, 205)(159, 204)(160, 235)(161, 234)(162, 207)(163, 236)(164, 229)(165, 212)(166, 211)(167, 232)(168, 239)(169, 224)(170, 217)(171, 216)(172, 227)(173, 240)(174, 221)(175, 220)(176, 223)(177, 238)(178, 237)(179, 228)(180, 233)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.945
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 120 f = 66
	degree seq :: [ 60^4 ]

E26.952 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 15})
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 * Y1)^2, (Y3^-1, Y2^-1), (Y3^-1 * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2 * Y1)^2, Y3^-6, Y3^6, Y3^3 * 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, 58, 118)(51, 111, 59, 119)(52, 112, 56, 116)(53, 113, 57, 117)(54, 114, 55, 115)(121, 181, 123, 183, 131, 191, 147, 207, 169, 229, 152, 212, 174, 234, 155, 215, 136, 196, 125, 185)(122, 182, 127, 187, 139, 199, 158, 218, 175, 235, 163, 223, 180, 240, 166, 226, 144, 204, 129, 189)(124, 184, 132, 192, 148, 208, 170, 230, 157, 217, 138, 198, 151, 211, 173, 233, 154, 214, 135, 195)(126, 186, 133, 193, 149, 209, 171, 231, 153, 213, 134, 194, 150, 210, 172, 232, 156, 216, 137, 197)(128, 188, 140, 200, 159, 219, 176, 236, 168, 228, 146, 206, 162, 222, 179, 239, 165, 225, 143, 203)(130, 190, 141, 201, 160, 220, 177, 237, 164, 224, 142, 202, 161, 221, 178, 238, 167, 227, 145, 205)
	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, 170)(28, 172)(29, 131)(30, 174)(31, 133)(32, 138)(33, 169)(34, 171)(35, 173)(36, 136)(37, 137)(38, 176)(39, 178)(40, 139)(41, 180)(42, 141)(43, 146)(44, 175)(45, 177)(46, 179)(47, 144)(48, 145)(49, 157)(50, 156)(51, 147)(52, 155)(53, 149)(54, 151)(55, 168)(56, 167)(57, 158)(58, 166)(59, 160)(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, 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 E26.956
Graph:: simple bipartite
	v = 36 e = 120 f = 34
	degree seq :: [ 4^30, 20^6 ]

E26.953 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 15})
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), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, (R * Y1)^2, Y2^-3 * Y3^-3, Y2^-3 * Y3^-3, Y2^-1 * Y3^9, Y2^10, (Y2^-1 * Y3)^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, 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, 38, 98)(29, 89, 42, 102)(30, 90, 36, 96)(31, 91, 41, 101)(32, 92, 35, 95)(33, 93, 39, 99)(34, 94, 37, 97)(43, 103, 53, 113)(44, 104, 52, 112)(45, 105, 54, 114)(46, 106, 50, 110)(47, 107, 49, 109)(48, 108, 51, 111)(55, 115, 58, 118)(56, 116, 60, 120)(57, 117, 59, 119)(121, 181, 123, 183, 131, 191, 147, 207, 163, 223, 175, 235, 167, 227, 152, 212, 136, 196, 125, 185)(122, 182, 127, 187, 139, 199, 155, 215, 169, 229, 178, 238, 173, 233, 160, 220, 144, 204, 129, 189)(124, 184, 132, 192, 148, 208, 138, 198, 151, 211, 165, 225, 177, 237, 166, 226, 154, 214, 135, 195)(126, 186, 133, 193, 149, 209, 164, 224, 176, 236, 168, 228, 153, 213, 134, 194, 150, 210, 137, 197)(128, 188, 140, 200, 156, 216, 146, 206, 159, 219, 171, 231, 180, 240, 172, 232, 162, 222, 143, 203)(130, 190, 141, 201, 157, 217, 170, 230, 179, 239, 174, 234, 161, 221, 142, 202, 158, 218, 145, 205)
	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, 156)(20, 158)(21, 127)(22, 160)(23, 161)(24, 162)(25, 129)(26, 130)(27, 138)(28, 137)(29, 131)(30, 136)(31, 133)(32, 166)(33, 167)(34, 168)(35, 146)(36, 145)(37, 139)(38, 144)(39, 141)(40, 172)(41, 173)(42, 174)(43, 151)(44, 147)(45, 149)(46, 176)(47, 177)(48, 175)(49, 159)(50, 155)(51, 157)(52, 179)(53, 180)(54, 178)(55, 165)(56, 163)(57, 164)(58, 171)(59, 169)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.959
Graph:: simple bipartite
	v = 36 e = 120 f = 34
	degree seq :: [ 4^30, 20^6 ]

E26.954 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 15})
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^-3, (R * Y2)^2, (Y2, Y3^-1), (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1)^2, Y2^10 ]
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, 21, 81)(12, 72, 22, 82)(13, 73, 20, 80)(14, 74, 19, 79)(15, 75, 17, 77)(16, 76, 18, 78)(23, 83, 33, 93)(24, 84, 34, 94)(25, 85, 32, 92)(26, 86, 31, 91)(27, 87, 29, 89)(28, 88, 30, 90)(35, 95, 45, 105)(36, 96, 46, 106)(37, 97, 44, 104)(38, 98, 43, 103)(39, 99, 41, 101)(40, 100, 42, 102)(47, 107, 52, 112)(48, 108, 56, 116)(49, 109, 55, 115)(50, 110, 54, 114)(51, 111, 53, 113)(57, 117, 60, 120)(58, 118, 59, 119)(121, 181, 123, 183, 131, 191, 143, 203, 155, 215, 167, 227, 159, 219, 147, 207, 135, 195, 125, 185)(122, 182, 127, 187, 137, 197, 149, 209, 161, 221, 172, 232, 165, 225, 153, 213, 141, 201, 129, 189)(124, 184, 132, 192, 144, 204, 156, 216, 168, 228, 177, 237, 170, 230, 158, 218, 146, 206, 134, 194)(126, 186, 133, 193, 145, 205, 157, 217, 169, 229, 178, 238, 171, 231, 160, 220, 148, 208, 136, 196)(128, 188, 138, 198, 150, 210, 162, 222, 173, 233, 179, 239, 175, 235, 164, 224, 152, 212, 140, 200)(130, 190, 139, 199, 151, 211, 163, 223, 174, 234, 180, 240, 176, 236, 166, 226, 154, 214, 142, 202)
	L = (1, 124)(2, 128)(3, 132)(4, 133)(5, 134)(6, 121)(7, 138)(8, 139)(9, 140)(10, 122)(11, 144)(12, 145)(13, 123)(14, 126)(15, 146)(16, 125)(17, 150)(18, 151)(19, 127)(20, 130)(21, 152)(22, 129)(23, 156)(24, 157)(25, 131)(26, 136)(27, 158)(28, 135)(29, 162)(30, 163)(31, 137)(32, 142)(33, 164)(34, 141)(35, 168)(36, 169)(37, 143)(38, 148)(39, 170)(40, 147)(41, 173)(42, 174)(43, 149)(44, 154)(45, 175)(46, 153)(47, 177)(48, 178)(49, 155)(50, 160)(51, 159)(52, 179)(53, 180)(54, 161)(55, 166)(56, 165)(57, 171)(58, 167)(59, 176)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.957
Graph:: simple bipartite
	v = 36 e = 120 f = 34
	degree seq :: [ 4^30, 20^6 ]

E26.955 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 15})
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^-1 * Y3^-3, (R * Y2)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y3, Y2^-1), (Y2^-1 * Y1)^2, Y2^10, (Y2^-1 * Y3)^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, 22, 82)(12, 72, 20, 80)(13, 73, 21, 81)(14, 74, 18, 78)(15, 75, 19, 79)(16, 76, 17, 77)(23, 83, 34, 94)(24, 84, 32, 92)(25, 85, 33, 93)(26, 86, 30, 90)(27, 87, 31, 91)(28, 88, 29, 89)(35, 95, 46, 106)(36, 96, 44, 104)(37, 97, 45, 105)(38, 98, 42, 102)(39, 99, 43, 103)(40, 100, 41, 101)(47, 107, 52, 112)(48, 108, 55, 115)(49, 109, 56, 116)(50, 110, 53, 113)(51, 111, 54, 114)(57, 117, 60, 120)(58, 118, 59, 119)(121, 181, 123, 183, 131, 191, 143, 203, 155, 215, 167, 227, 160, 220, 148, 208, 136, 196, 125, 185)(122, 182, 127, 187, 137, 197, 149, 209, 161, 221, 172, 232, 166, 226, 154, 214, 142, 202, 129, 189)(124, 184, 132, 192, 144, 204, 156, 216, 168, 228, 177, 237, 171, 231, 159, 219, 147, 207, 135, 195)(126, 186, 133, 193, 145, 205, 157, 217, 169, 229, 178, 238, 170, 230, 158, 218, 146, 206, 134, 194)(128, 188, 138, 198, 150, 210, 162, 222, 173, 233, 179, 239, 176, 236, 165, 225, 153, 213, 141, 201)(130, 190, 139, 199, 151, 211, 163, 223, 174, 234, 180, 240, 175, 235, 164, 224, 152, 212, 140, 200)
	L = (1, 124)(2, 128)(3, 132)(4, 134)(5, 135)(6, 121)(7, 138)(8, 140)(9, 141)(10, 122)(11, 144)(12, 126)(13, 123)(14, 125)(15, 146)(16, 147)(17, 150)(18, 130)(19, 127)(20, 129)(21, 152)(22, 153)(23, 156)(24, 133)(25, 131)(26, 136)(27, 158)(28, 159)(29, 162)(30, 139)(31, 137)(32, 142)(33, 164)(34, 165)(35, 168)(36, 145)(37, 143)(38, 148)(39, 170)(40, 171)(41, 173)(42, 151)(43, 149)(44, 154)(45, 175)(46, 176)(47, 177)(48, 157)(49, 155)(50, 160)(51, 178)(52, 179)(53, 163)(54, 161)(55, 166)(56, 180)(57, 169)(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) :: { ( 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 E26.958
Graph:: simple bipartite
	v = 36 e = 120 f = 34
	degree seq :: [ 4^30, 20^6 ]

E26.956 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 15})
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, (Y1^-1 * Y2)^2, (R * Y2 * Y3^-1)^2, Y3^6, Y3^2 * Y1^5 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 7, 67, 19, 79, 37, 97, 18, 78, 26, 86, 42, 102, 53, 113, 33, 93, 14, 74, 25, 85, 35, 95, 16, 76, 5, 65)(3, 63, 11, 71, 27, 87, 46, 106, 44, 104, 31, 91, 50, 110, 59, 119, 56, 116, 43, 103, 30, 90, 49, 109, 38, 98, 20, 80, 8, 68)(4, 64, 9, 69, 21, 81, 36, 96, 17, 77, 6, 66, 10, 70, 22, 82, 39, 99, 52, 112, 32, 92, 45, 105, 54, 114, 34, 94, 15, 75)(12, 72, 28, 88, 47, 107, 41, 101, 24, 84, 13, 73, 29, 89, 48, 108, 58, 118, 57, 117, 51, 111, 60, 120, 55, 115, 40, 100, 23, 83)(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, 158, 218)(141, 201, 161, 221)(142, 202, 160, 220)(145, 205, 164, 224)(146, 206, 163, 223)(152, 212, 171, 231)(153, 213, 170, 230)(154, 214, 168, 228)(155, 215, 166, 226)(156, 216, 167, 227)(157, 217, 169, 229)(159, 219, 175, 235)(162, 222, 176, 236)(165, 225, 177, 237)(172, 232, 180, 240)(173, 233, 179, 239)(174, 234, 178, 238)
	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, 156)(20, 160)(21, 155)(22, 127)(23, 163)(24, 128)(25, 165)(26, 130)(27, 167)(28, 169)(29, 131)(30, 171)(31, 133)(32, 138)(33, 172)(34, 173)(35, 174)(36, 136)(37, 137)(38, 175)(39, 139)(40, 176)(41, 140)(42, 142)(43, 177)(44, 144)(45, 146)(46, 161)(47, 158)(48, 147)(49, 180)(50, 149)(51, 151)(52, 157)(53, 159)(54, 162)(55, 179)(56, 178)(57, 164)(58, 166)(59, 168)(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, 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 E26.952
Graph:: simple bipartite
	v = 34 e = 120 f = 36
	degree seq :: [ 4^30, 30^4 ]

E26.957 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 15})
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, Y1 * Y3^-2, (R * Y1)^2, (Y2 * Y1^-1)^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y2 * Y3^-1)^2, Y1^15, (Y3^-1 * Y1^-1)^10 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 7, 67, 15, 75, 23, 83, 31, 91, 39, 99, 47, 107, 53, 113, 45, 105, 37, 97, 29, 89, 21, 81, 13, 73, 5, 65)(3, 63, 10, 70, 19, 79, 27, 87, 35, 95, 43, 103, 51, 111, 58, 118, 55, 115, 48, 108, 40, 100, 32, 92, 24, 84, 16, 76, 8, 68)(4, 64, 9, 69, 17, 77, 25, 85, 33, 93, 41, 101, 49, 109, 56, 116, 54, 114, 46, 106, 38, 98, 30, 90, 22, 82, 14, 74, 6, 66)(11, 71, 20, 80, 28, 88, 36, 96, 44, 104, 52, 112, 59, 119, 60, 120, 57, 117, 50, 110, 42, 102, 34, 94, 26, 86, 18, 78, 12, 72)(121, 181, 123, 183)(122, 182, 128, 188)(124, 184, 132, 192)(125, 185, 130, 190)(126, 186, 131, 191)(127, 187, 136, 196)(129, 189, 138, 198)(133, 193, 139, 199)(134, 194, 140, 200)(135, 195, 144, 204)(137, 197, 146, 206)(141, 201, 147, 207)(142, 202, 148, 208)(143, 203, 152, 212)(145, 205, 154, 214)(149, 209, 155, 215)(150, 210, 156, 216)(151, 211, 160, 220)(153, 213, 162, 222)(157, 217, 163, 223)(158, 218, 164, 224)(159, 219, 168, 228)(161, 221, 170, 230)(165, 225, 171, 231)(166, 226, 172, 232)(167, 227, 175, 235)(169, 229, 177, 237)(173, 233, 178, 238)(174, 234, 179, 239)(176, 236, 180, 240)
	L = (1, 124)(2, 129)(3, 131)(4, 122)(5, 126)(6, 121)(7, 137)(8, 132)(9, 127)(10, 140)(11, 130)(12, 123)(13, 134)(14, 125)(15, 145)(16, 138)(17, 135)(18, 128)(19, 148)(20, 139)(21, 142)(22, 133)(23, 153)(24, 146)(25, 143)(26, 136)(27, 156)(28, 147)(29, 150)(30, 141)(31, 161)(32, 154)(33, 151)(34, 144)(35, 164)(36, 155)(37, 158)(38, 149)(39, 169)(40, 162)(41, 159)(42, 152)(43, 172)(44, 163)(45, 166)(46, 157)(47, 176)(48, 170)(49, 167)(50, 160)(51, 179)(52, 171)(53, 174)(54, 165)(55, 177)(56, 173)(57, 168)(58, 180)(59, 178)(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, 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 E26.954
Graph:: simple bipartite
	v = 34 e = 120 f = 36
	degree seq :: [ 4^30, 30^4 ]

E26.958 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 15})
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, (Y3, Y1^-1), (Y1^-1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^4 * Y1, (R * Y2 * Y3^-1)^2, Y1^2 * Y3^-1 * Y1 * Y3^-1 * Y1^4, Y1^-1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 7, 67, 19, 79, 35, 95, 47, 107, 31, 91, 14, 74, 18, 78, 25, 85, 41, 101, 49, 109, 33, 93, 16, 76, 5, 65)(3, 63, 11, 71, 26, 86, 43, 103, 56, 116, 55, 115, 42, 102, 29, 89, 30, 90, 46, 106, 59, 119, 51, 111, 36, 96, 20, 80, 8, 68)(4, 64, 9, 69, 21, 81, 37, 97, 52, 112, 50, 110, 34, 94, 17, 77, 6, 66, 10, 70, 22, 82, 38, 98, 48, 108, 32, 92, 15, 75)(12, 72, 27, 87, 44, 104, 57, 117, 60, 120, 54, 114, 40, 100, 24, 84, 13, 73, 28, 88, 45, 105, 58, 118, 53, 113, 39, 99, 23, 83)(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, 150, 210)(135, 195, 148, 208)(136, 196, 146, 206)(137, 197, 147, 207)(138, 198, 149, 209)(139, 199, 156, 216)(141, 201, 160, 220)(142, 202, 159, 219)(145, 205, 162, 222)(151, 211, 166, 226)(152, 212, 165, 225)(153, 213, 163, 223)(154, 214, 164, 224)(155, 215, 171, 231)(157, 217, 174, 234)(158, 218, 173, 233)(161, 221, 175, 235)(167, 227, 179, 239)(168, 228, 178, 238)(169, 229, 176, 236)(170, 230, 177, 237)(172, 232, 180, 240)
	L = (1, 124)(2, 129)(3, 132)(4, 134)(5, 135)(6, 121)(7, 141)(8, 143)(9, 138)(10, 122)(11, 147)(12, 149)(13, 123)(14, 137)(15, 151)(16, 152)(17, 125)(18, 126)(19, 157)(20, 159)(21, 145)(22, 127)(23, 162)(24, 128)(25, 130)(26, 164)(27, 150)(28, 131)(29, 144)(30, 133)(31, 154)(32, 167)(33, 168)(34, 136)(35, 172)(36, 173)(37, 161)(38, 139)(39, 175)(40, 140)(41, 142)(42, 160)(43, 177)(44, 166)(45, 146)(46, 148)(47, 170)(48, 155)(49, 158)(50, 153)(51, 178)(52, 169)(53, 176)(54, 156)(55, 174)(56, 180)(57, 179)(58, 163)(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, 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 E26.955
Graph:: simple bipartite
	v = 34 e = 120 f = 36
	degree seq :: [ 4^30, 30^4 ]

E26.959 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 15})
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, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y1^-2 * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y1^-2, Y1 * Y3 * Y1 * Y3^5 * Y1, Y3^2 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 7, 67, 19, 79, 14, 74, 25, 85, 40, 100, 52, 112, 49, 109, 50, 110, 34, 94, 18, 78, 26, 86, 16, 76, 5, 65)(3, 63, 11, 71, 27, 87, 41, 101, 30, 90, 46, 106, 57, 117, 60, 120, 59, 119, 54, 114, 42, 102, 31, 91, 36, 96, 20, 80, 8, 68)(4, 64, 9, 69, 21, 81, 37, 97, 32, 92, 43, 103, 51, 111, 35, 95, 44, 104, 33, 93, 17, 77, 6, 66, 10, 70, 22, 82, 15, 75)(12, 72, 28, 88, 45, 105, 55, 115, 47, 107, 58, 118, 56, 116, 48, 108, 53, 113, 39, 99, 24, 84, 13, 73, 29, 89, 38, 98, 23, 83)(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, 165, 225)(154, 214, 166, 226)(155, 215, 167, 227)(157, 217, 173, 233)(160, 220, 174, 234)(163, 223, 176, 236)(164, 224, 175, 235)(169, 229, 180, 240)(170, 230, 177, 237)(171, 231, 178, 238)(172, 232, 179, 239)
	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, 139)(16, 142)(17, 125)(18, 126)(19, 157)(20, 158)(21, 160)(22, 127)(23, 161)(24, 128)(25, 163)(26, 130)(27, 165)(28, 166)(29, 131)(30, 167)(31, 133)(32, 169)(33, 136)(34, 137)(35, 138)(36, 149)(37, 172)(38, 147)(39, 140)(40, 171)(41, 175)(42, 144)(43, 170)(44, 146)(45, 177)(46, 178)(47, 179)(48, 151)(49, 164)(50, 153)(51, 154)(52, 155)(53, 156)(54, 159)(55, 180)(56, 162)(57, 176)(58, 174)(59, 173)(60, 168)(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, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.953
Graph:: simple bipartite
	v = 34 e = 120 f = 36
	degree seq :: [ 4^30, 30^4 ]

E26.960 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {15, 20, 20})
Quotient :: edge
Aut^+ = C5 x (C3 : C4) (small group id <60, 1>)
Aut   = (C6 x D10) : C2 (small group id <120, 12>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^2 * T1 * T2^-2 * T1^-1, T1 * T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1, T1^3 * T2 * T1 * T2^-1 * T1, (T2 * T1^-1)^4, T2^20, (T2^-1 * T1^-1)^20 ]
Map:: non-degenerate
	R = (1, 3, 10, 30, 56, 51, 59, 41, 18, 36, 53, 24, 38, 21, 50, 48, 60, 47, 17, 5)(2, 7, 22, 40, 55, 35, 46, 16, 34, 11, 32, 39, 13, 37, 57, 43, 54, 27, 26, 8)(4, 12, 31, 45, 58, 33, 49, 20, 6, 19, 44, 15, 29, 9, 28, 25, 52, 23, 42, 14)(61, 62, 66, 78, 94, 112, 120, 114, 118, 116, 115, 89, 98, 73, 64)(63, 69, 87, 96, 72, 95, 107, 79, 97, 111, 83, 67, 81, 93, 71)(65, 75, 103, 101, 74, 100, 108, 80, 99, 90, 85, 68, 84, 105, 76)(70, 82, 104, 113, 92, 102, 77, 86, 109, 119, 106, 88, 110, 117, 91)
	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) :: { ( 40^15 ), ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E26.965
Transitivity :: ET+
Graph:: bipartite
	v = 7 e = 60 f = 3
	degree seq :: [ 15^4, 20^3 ]

E26.961 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {15, 20, 20})
Quotient :: edge
Aut^+ = C5 x (C3 : C4) (small group id <60, 1>)
Aut   = (C6 x D10) : C2 (small group id <120, 12>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1 * T2^-3 * T1, T2^2 * T1 * T2^-2 * T1^-1, T2^3 * T1^3 * T2, T2 * T1^2 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-2, (T2^-1 * T1^-1)^20 ]
Map:: non-degenerate
	R = (1, 3, 10, 24, 36, 21, 47, 50, 60, 48, 59, 45, 58, 44, 57, 39, 18, 34, 17, 5)(2, 7, 22, 37, 13, 35, 55, 38, 54, 33, 53, 41, 52, 27, 43, 16, 32, 11, 26, 8)(4, 12, 30, 15, 29, 9, 28, 42, 56, 31, 51, 25, 49, 23, 46, 20, 6, 19, 40, 14)(61, 62, 66, 78, 92, 109, 118, 112, 116, 120, 114, 89, 96, 73, 64)(63, 69, 87, 94, 72, 93, 104, 79, 95, 108, 83, 67, 81, 91, 71)(65, 75, 101, 99, 74, 98, 105, 80, 97, 110, 85, 68, 84, 102, 76)(70, 82, 100, 77, 86, 106, 117, 103, 111, 119, 113, 88, 107, 115, 90)
	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) :: { ( 40^15 ), ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E26.964
Transitivity :: ET+
Graph:: bipartite
	v = 7 e = 60 f = 3
	degree seq :: [ 15^4, 20^3 ]

E26.962 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {15, 20, 20})
Quotient :: edge
Aut^+ = C5 x (C3 : C4) (small group id <60, 1>)
Aut   = (C6 x D10) : C2 (small group id <120, 12>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-2, T1 * T2^-2 * T1^-1 * T2^2, T1 * T2 * T1 * T2^-1 * T1^3, T2^-2 * T1^2 * T2^-2 * T1, T2 * T1^2 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-2 ]
Map:: non-degenerate
	R = (1, 3, 10, 30, 18, 36, 56, 46, 59, 45, 58, 51, 60, 48, 50, 24, 38, 21, 17, 5)(2, 7, 22, 16, 34, 11, 32, 41, 53, 27, 52, 40, 55, 35, 54, 39, 13, 37, 26, 8)(4, 12, 31, 20, 6, 19, 44, 25, 49, 23, 47, 43, 57, 33, 42, 15, 29, 9, 28, 14)(61, 62, 66, 78, 94, 109, 119, 113, 117, 120, 115, 89, 98, 73, 64)(63, 69, 87, 96, 72, 95, 105, 79, 97, 108, 83, 67, 81, 93, 71)(65, 75, 101, 90, 74, 100, 106, 80, 99, 111, 85, 68, 84, 103, 76)(70, 82, 104, 116, 92, 107, 118, 112, 102, 110, 114, 88, 77, 86, 91)
	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) :: { ( 40^15 ), ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E26.966
Transitivity :: ET+
Graph:: bipartite
	v = 7 e = 60 f = 3
	degree seq :: [ 15^4, 20^3 ]

E26.963 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {15, 20, 20})
Quotient :: edge
Aut^+ = C5 x (C3 : C4) (small group id <60, 1>)
Aut   = (C6 x D10) : C2 (small group id <120, 12>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, T1^-1 * T2^-2 * T1 * T2^2, T2 * T1^2 * T2^-1 * T1^-2, T1^-2 * T2^2 * T1^-4, T2^-1 * T1^-2 * T2^-5, T1^8 * T2^4, T2^-2 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-5 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 51, 33, 13, 31, 38, 54, 60, 57, 44, 20, 6, 19, 42, 37, 17, 5)(2, 7, 22, 46, 35, 14, 4, 12, 30, 49, 59, 52, 32, 40, 18, 39, 55, 48, 26, 8)(9, 27, 50, 36, 16, 24, 11, 21, 45, 58, 47, 25, 43, 23, 41, 56, 53, 34, 15, 28)(61, 62, 66, 78, 98, 90, 70, 82, 102, 115, 120, 119, 111, 95, 77, 86, 104, 92, 73, 64)(63, 69, 79, 101, 114, 105, 89, 110, 97, 113, 117, 107, 93, 76, 65, 75, 80, 103, 91, 71)(67, 81, 99, 87, 109, 116, 106, 118, 108, 96, 112, 94, 74, 85, 68, 84, 100, 88, 72, 83)
	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) :: { ( 30^20 ) }
Outer automorphisms :: reflexible
Dual of E26.967
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 60 f = 4
	degree seq :: [ 20^6 ]

E26.964 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {15, 20, 20})
Quotient :: loop
Aut^+ = C5 x (C3 : C4) (small group id <60, 1>)
Aut   = (C6 x D10) : C2 (small group id <120, 12>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^2 * T1 * T2^-2 * T1^-1, T1 * T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1, T1^3 * T2 * T1 * T2^-1 * T1, (T2 * T1^-1)^4, T2^20, (T2^-1 * T1^-1)^20 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 10, 70, 30, 90, 56, 116, 51, 111, 59, 119, 41, 101, 18, 78, 36, 96, 53, 113, 24, 84, 38, 98, 21, 81, 50, 110, 48, 108, 60, 120, 47, 107, 17, 77, 5, 65)(2, 62, 7, 67, 22, 82, 40, 100, 55, 115, 35, 95, 46, 106, 16, 76, 34, 94, 11, 71, 32, 92, 39, 99, 13, 73, 37, 97, 57, 117, 43, 103, 54, 114, 27, 87, 26, 86, 8, 68)(4, 64, 12, 72, 31, 91, 45, 105, 58, 118, 33, 93, 49, 109, 20, 80, 6, 66, 19, 79, 44, 104, 15, 75, 29, 89, 9, 69, 28, 88, 25, 85, 52, 112, 23, 83, 42, 102, 14, 74)
	L = (1, 62)(2, 66)(3, 69)(4, 61)(5, 75)(6, 78)(7, 81)(8, 84)(9, 87)(10, 82)(11, 63)(12, 95)(13, 64)(14, 100)(15, 103)(16, 65)(17, 86)(18, 94)(19, 97)(20, 99)(21, 93)(22, 104)(23, 67)(24, 105)(25, 68)(26, 109)(27, 96)(28, 110)(29, 98)(30, 85)(31, 70)(32, 102)(33, 71)(34, 112)(35, 107)(36, 72)(37, 111)(38, 73)(39, 90)(40, 108)(41, 74)(42, 77)(43, 101)(44, 113)(45, 76)(46, 88)(47, 79)(48, 80)(49, 119)(50, 117)(51, 83)(52, 120)(53, 92)(54, 118)(55, 89)(56, 115)(57, 91)(58, 116)(59, 106)(60, 114)
	local type(s) :: { ( 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.961
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 60 f = 7
	degree seq :: [ 40^3 ]

E26.965 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {15, 20, 20})
Quotient :: loop
Aut^+ = C5 x (C3 : C4) (small group id <60, 1>)
Aut   = (C6 x D10) : C2 (small group id <120, 12>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1 * T2^-3 * T1, T2^2 * T1 * T2^-2 * T1^-1, T2^3 * T1^3 * T2, T2 * T1^2 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-2, (T2^-1 * T1^-1)^20 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 10, 70, 24, 84, 36, 96, 21, 81, 47, 107, 50, 110, 60, 120, 48, 108, 59, 119, 45, 105, 58, 118, 44, 104, 57, 117, 39, 99, 18, 78, 34, 94, 17, 77, 5, 65)(2, 62, 7, 67, 22, 82, 37, 97, 13, 73, 35, 95, 55, 115, 38, 98, 54, 114, 33, 93, 53, 113, 41, 101, 52, 112, 27, 87, 43, 103, 16, 76, 32, 92, 11, 71, 26, 86, 8, 68)(4, 64, 12, 72, 30, 90, 15, 75, 29, 89, 9, 69, 28, 88, 42, 102, 56, 116, 31, 91, 51, 111, 25, 85, 49, 109, 23, 83, 46, 106, 20, 80, 6, 66, 19, 79, 40, 100, 14, 74)
	L = (1, 62)(2, 66)(3, 69)(4, 61)(5, 75)(6, 78)(7, 81)(8, 84)(9, 87)(10, 82)(11, 63)(12, 93)(13, 64)(14, 98)(15, 101)(16, 65)(17, 86)(18, 92)(19, 95)(20, 97)(21, 91)(22, 100)(23, 67)(24, 102)(25, 68)(26, 106)(27, 94)(28, 107)(29, 96)(30, 70)(31, 71)(32, 109)(33, 104)(34, 72)(35, 108)(36, 73)(37, 110)(38, 105)(39, 74)(40, 77)(41, 99)(42, 76)(43, 111)(44, 79)(45, 80)(46, 117)(47, 115)(48, 83)(49, 118)(50, 85)(51, 119)(52, 116)(53, 88)(54, 89)(55, 90)(56, 120)(57, 103)(58, 112)(59, 113)(60, 114)
	local type(s) :: { ( 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.960
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 60 f = 7
	degree seq :: [ 40^3 ]

E26.966 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {15, 20, 20})
Quotient :: loop
Aut^+ = C5 x (C3 : C4) (small group id <60, 1>)
Aut   = (C6 x D10) : C2 (small group id <120, 12>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-2, T1 * T2^-2 * T1^-1 * T2^2, T1 * T2 * T1 * T2^-1 * T1^3, T2^-2 * T1^2 * T2^-2 * T1, T2 * T1^2 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-2 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 10, 70, 30, 90, 18, 78, 36, 96, 56, 116, 46, 106, 59, 119, 45, 105, 58, 118, 51, 111, 60, 120, 48, 108, 50, 110, 24, 84, 38, 98, 21, 81, 17, 77, 5, 65)(2, 62, 7, 67, 22, 82, 16, 76, 34, 94, 11, 71, 32, 92, 41, 101, 53, 113, 27, 87, 52, 112, 40, 100, 55, 115, 35, 95, 54, 114, 39, 99, 13, 73, 37, 97, 26, 86, 8, 68)(4, 64, 12, 72, 31, 91, 20, 80, 6, 66, 19, 79, 44, 104, 25, 85, 49, 109, 23, 83, 47, 107, 43, 103, 57, 117, 33, 93, 42, 102, 15, 75, 29, 89, 9, 69, 28, 88, 14, 74)
	L = (1, 62)(2, 66)(3, 69)(4, 61)(5, 75)(6, 78)(7, 81)(8, 84)(9, 87)(10, 82)(11, 63)(12, 95)(13, 64)(14, 100)(15, 101)(16, 65)(17, 86)(18, 94)(19, 97)(20, 99)(21, 93)(22, 104)(23, 67)(24, 103)(25, 68)(26, 91)(27, 96)(28, 77)(29, 98)(30, 74)(31, 70)(32, 107)(33, 71)(34, 109)(35, 105)(36, 72)(37, 108)(38, 73)(39, 111)(40, 106)(41, 90)(42, 110)(43, 76)(44, 116)(45, 79)(46, 80)(47, 118)(48, 83)(49, 119)(50, 114)(51, 85)(52, 102)(53, 117)(54, 88)(55, 89)(56, 92)(57, 120)(58, 112)(59, 113)(60, 115)
	local type(s) :: { ( 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20, 15, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.962
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 60 f = 7
	degree seq :: [ 40^3 ]

E26.967 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {15, 20, 20})
Quotient :: loop
Aut^+ = C5 x (C3 : C4) (small group id <60, 1>)
Aut   = (C6 x D10) : C2 (small group id <120, 12>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^2 * T2^-1 * T1^-2, T1 * T2^-1 * T1^3 * T2^2, T2 * T1^-1 * T2 * T1 * T2^3, (T2 * T1^-1)^4, T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-2, T1^20 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 10, 70, 30, 90, 25, 85, 54, 114, 59, 119, 51, 111, 56, 116, 48, 108, 52, 112, 23, 83, 47, 107, 17, 77, 5, 65)(2, 62, 7, 67, 22, 82, 42, 102, 15, 75, 41, 101, 37, 97, 29, 89, 45, 105, 57, 117, 28, 88, 9, 69, 27, 87, 26, 86, 8, 68)(4, 64, 12, 72, 35, 95, 44, 104, 16, 76, 43, 103, 58, 118, 31, 91, 46, 106, 18, 78, 34, 94, 11, 71, 32, 92, 40, 100, 14, 74)(6, 66, 19, 79, 36, 96, 53, 113, 24, 84, 38, 98, 13, 73, 33, 93, 55, 115, 60, 120, 39, 99, 21, 81, 50, 110, 49, 109, 20, 80)
	L = (1, 62)(2, 66)(3, 69)(4, 61)(5, 75)(6, 78)(7, 81)(8, 84)(9, 79)(10, 89)(11, 63)(12, 83)(13, 64)(14, 85)(15, 80)(16, 65)(17, 105)(18, 108)(19, 103)(20, 100)(21, 94)(22, 93)(23, 67)(24, 106)(25, 68)(26, 115)(27, 110)(28, 98)(29, 96)(30, 102)(31, 70)(32, 107)(33, 71)(34, 114)(35, 111)(36, 72)(37, 73)(38, 76)(39, 74)(40, 116)(41, 99)(42, 113)(43, 112)(44, 90)(45, 109)(46, 77)(47, 87)(48, 117)(49, 95)(50, 118)(51, 82)(52, 101)(53, 92)(54, 88)(55, 91)(56, 86)(57, 120)(58, 119)(59, 97)(60, 104)
	local type(s) :: { ( 20^30 ) }
Outer automorphisms :: reflexible
Dual of E26.963
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 60 f = 6
	degree seq :: [ 30^4 ]

E26.968 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 20, 20})
Quotient :: dipole
Aut^+ = C5 x (C3 : C4) (small group id <60, 1>)
Aut   = (C6 x D10) : C2 (small group id <120, 12>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^2 * Y3^-1 * Y2^-2, Y2^2 * Y1 * Y2^-2 * Y1^-1, (Y2^-1 * R * Y2^-1)^2, Y1 * Y2 * Y1 * Y2^-1 * Y3^-3, Y3 * Y2^3 * Y3^-2 * Y2, Y1 * Y2^3 * Y3 * Y2 * Y3^-1, Y2^-1 * Y1^3 * Y3^-1 * Y2 * Y3^-1, Y1^2 * Y2^-1 * Y1 * Y2 * Y3^-2, Y1^3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y1 * Y2 * Y1^2 * Y3^-2 * Y2^-1, Y2^2 * Y1^2 * Y2 * Y1^-1 * Y2, Y1^4 * Y2^-1 * Y3^-1 * Y2, Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2^20, (Y3 * Y2^-1)^20 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 18, 78, 34, 94, 52, 112, 60, 120, 54, 114, 58, 118, 56, 116, 55, 115, 29, 89, 38, 98, 13, 73, 4, 64)(3, 63, 9, 69, 27, 87, 36, 96, 12, 72, 35, 95, 47, 107, 19, 79, 37, 97, 51, 111, 23, 83, 7, 67, 21, 81, 33, 93, 11, 71)(5, 65, 15, 75, 43, 103, 41, 101, 14, 74, 40, 100, 48, 108, 20, 80, 39, 99, 30, 90, 25, 85, 8, 68, 24, 84, 45, 105, 16, 76)(10, 70, 22, 82, 44, 104, 53, 113, 32, 92, 42, 102, 17, 77, 26, 86, 49, 109, 59, 119, 46, 106, 28, 88, 50, 110, 57, 117, 31, 91)(121, 181, 123, 183, 130, 190, 150, 210, 176, 236, 171, 231, 179, 239, 161, 221, 138, 198, 156, 216, 173, 233, 144, 204, 158, 218, 141, 201, 170, 230, 168, 228, 180, 240, 167, 227, 137, 197, 125, 185)(122, 182, 127, 187, 142, 202, 160, 220, 175, 235, 155, 215, 166, 226, 136, 196, 154, 214, 131, 191, 152, 212, 159, 219, 133, 193, 157, 217, 177, 237, 163, 223, 174, 234, 147, 207, 146, 206, 128, 188)(124, 184, 132, 192, 151, 211, 165, 225, 178, 238, 153, 213, 169, 229, 140, 200, 126, 186, 139, 199, 164, 224, 135, 195, 149, 209, 129, 189, 148, 208, 145, 205, 172, 232, 143, 203, 162, 222, 134, 194)
	L = (1, 124)(2, 121)(3, 131)(4, 133)(5, 136)(6, 122)(7, 143)(8, 145)(9, 123)(10, 151)(11, 153)(12, 156)(13, 158)(14, 161)(15, 125)(16, 165)(17, 162)(18, 126)(19, 167)(20, 168)(21, 127)(22, 130)(23, 171)(24, 128)(25, 150)(26, 137)(27, 129)(28, 166)(29, 175)(30, 159)(31, 177)(32, 173)(33, 141)(34, 138)(35, 132)(36, 147)(37, 139)(38, 149)(39, 140)(40, 134)(41, 163)(42, 152)(43, 135)(44, 142)(45, 144)(46, 179)(47, 155)(48, 160)(49, 146)(50, 148)(51, 157)(52, 154)(53, 164)(54, 180)(55, 176)(56, 178)(57, 170)(58, 174)(59, 169)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.974
Graph:: bipartite
	v = 7 e = 120 f = 63
	degree seq :: [ 30^4, 40^3 ]

E26.969 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 20, 20})
Quotient :: dipole
Aut^+ = C5 x (C3 : C4) (small group id <60, 1>)
Aut   = (C6 x D10) : C2 (small group id <120, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y2^-2 * Y3 * Y2^-1 * Y1^-1 * Y2^-1, Y1 * Y2^3 * Y3^-1 * Y2, (Y2^-1 * R * Y2^-1)^2, Y1 * Y2 * Y1 * Y2^-1 * Y3^-3, Y3 * Y1^-1 * Y3^2 * Y2^-1 * Y1^-1 * Y2, Y1^2 * Y2^-4 * Y3^-1, Y1 * Y2^-1 * Y1^2 * Y3^-2 * Y2, Y1^2 * Y2^2 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y2 * Y1^2 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1^-2, (Y3^-1 * Y1^2)^5, Y1^15 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 18, 78, 34, 94, 49, 109, 59, 119, 53, 113, 57, 117, 60, 120, 55, 115, 29, 89, 38, 98, 13, 73, 4, 64)(3, 63, 9, 69, 27, 87, 36, 96, 12, 72, 35, 95, 45, 105, 19, 79, 37, 97, 48, 108, 23, 83, 7, 67, 21, 81, 33, 93, 11, 71)(5, 65, 15, 75, 41, 101, 30, 90, 14, 74, 40, 100, 46, 106, 20, 80, 39, 99, 51, 111, 25, 85, 8, 68, 24, 84, 43, 103, 16, 76)(10, 70, 22, 82, 44, 104, 56, 116, 32, 92, 47, 107, 58, 118, 52, 112, 42, 102, 50, 110, 54, 114, 28, 88, 17, 77, 26, 86, 31, 91)(121, 181, 123, 183, 130, 190, 150, 210, 138, 198, 156, 216, 176, 236, 166, 226, 179, 239, 165, 225, 178, 238, 171, 231, 180, 240, 168, 228, 170, 230, 144, 204, 158, 218, 141, 201, 137, 197, 125, 185)(122, 182, 127, 187, 142, 202, 136, 196, 154, 214, 131, 191, 152, 212, 161, 221, 173, 233, 147, 207, 172, 232, 160, 220, 175, 235, 155, 215, 174, 234, 159, 219, 133, 193, 157, 217, 146, 206, 128, 188)(124, 184, 132, 192, 151, 211, 140, 200, 126, 186, 139, 199, 164, 224, 145, 205, 169, 229, 143, 203, 167, 227, 163, 223, 177, 237, 153, 213, 162, 222, 135, 195, 149, 209, 129, 189, 148, 208, 134, 194)
	L = (1, 124)(2, 121)(3, 131)(4, 133)(5, 136)(6, 122)(7, 143)(8, 145)(9, 123)(10, 151)(11, 153)(12, 156)(13, 158)(14, 150)(15, 125)(16, 163)(17, 148)(18, 126)(19, 165)(20, 166)(21, 127)(22, 130)(23, 168)(24, 128)(25, 171)(26, 137)(27, 129)(28, 174)(29, 175)(30, 161)(31, 146)(32, 176)(33, 141)(34, 138)(35, 132)(36, 147)(37, 139)(38, 149)(39, 140)(40, 134)(41, 135)(42, 172)(43, 144)(44, 142)(45, 155)(46, 160)(47, 152)(48, 157)(49, 154)(50, 162)(51, 159)(52, 178)(53, 179)(54, 170)(55, 180)(56, 164)(57, 173)(58, 167)(59, 169)(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) :: { ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40 ), ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 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 E26.975
Graph:: bipartite
	v = 7 e = 120 f = 63
	degree seq :: [ 30^4, 40^3 ]

E26.970 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 20, 20})
Quotient :: dipole
Aut^+ = C5 x (C3 : C4) (small group id <60, 1>)
Aut   = (C6 x D10) : C2 (small group id <120, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y2^3 * Y3 * Y2 * Y1^-1, Y2^-1 * Y3 * Y2^2 * Y3^-1 * Y2^-1, Y1 * Y2^-2 * Y1^-1 * Y2^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y2^2 * Y1^2 * Y2^2 * Y3^-1, Y1^2 * Y2^-1 * Y1 * Y2 * Y3^-2, Y2^-1 * Y1^3 * Y3^-1 * Y2 * Y3^-1, Y2^-1 * Y1 * Y2 * Y1 * Y3^-3, Y1^4 * Y2^-1 * Y3^-1 * Y2, Y1 * Y2^-1 * Y1 * Y3^-2 * Y1 * Y2, Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-2 * Y2 * Y3^-1, (Y3 * Y2^-1)^20 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 18, 78, 32, 92, 49, 109, 58, 118, 52, 112, 56, 116, 60, 120, 54, 114, 29, 89, 36, 96, 13, 73, 4, 64)(3, 63, 9, 69, 27, 87, 34, 94, 12, 72, 33, 93, 44, 104, 19, 79, 35, 95, 48, 108, 23, 83, 7, 67, 21, 81, 31, 91, 11, 71)(5, 65, 15, 75, 41, 101, 39, 99, 14, 74, 38, 98, 45, 105, 20, 80, 37, 97, 50, 110, 25, 85, 8, 68, 24, 84, 42, 102, 16, 76)(10, 70, 22, 82, 40, 100, 17, 77, 26, 86, 46, 106, 57, 117, 43, 103, 51, 111, 59, 119, 53, 113, 28, 88, 47, 107, 55, 115, 30, 90)(121, 181, 123, 183, 130, 190, 144, 204, 156, 216, 141, 201, 167, 227, 170, 230, 180, 240, 168, 228, 179, 239, 165, 225, 178, 238, 164, 224, 177, 237, 159, 219, 138, 198, 154, 214, 137, 197, 125, 185)(122, 182, 127, 187, 142, 202, 157, 217, 133, 193, 155, 215, 175, 235, 158, 218, 174, 234, 153, 213, 173, 233, 161, 221, 172, 232, 147, 207, 163, 223, 136, 196, 152, 212, 131, 191, 146, 206, 128, 188)(124, 184, 132, 192, 150, 210, 135, 195, 149, 209, 129, 189, 148, 208, 162, 222, 176, 236, 151, 211, 171, 231, 145, 205, 169, 229, 143, 203, 166, 226, 140, 200, 126, 186, 139, 199, 160, 220, 134, 194)
	L = (1, 124)(2, 121)(3, 131)(4, 133)(5, 136)(6, 122)(7, 143)(8, 145)(9, 123)(10, 150)(11, 151)(12, 154)(13, 156)(14, 159)(15, 125)(16, 162)(17, 160)(18, 126)(19, 164)(20, 165)(21, 127)(22, 130)(23, 168)(24, 128)(25, 170)(26, 137)(27, 129)(28, 173)(29, 174)(30, 175)(31, 141)(32, 138)(33, 132)(34, 147)(35, 139)(36, 149)(37, 140)(38, 134)(39, 161)(40, 142)(41, 135)(42, 144)(43, 177)(44, 153)(45, 158)(46, 146)(47, 148)(48, 155)(49, 152)(50, 157)(51, 163)(52, 178)(53, 179)(54, 180)(55, 167)(56, 172)(57, 166)(58, 169)(59, 171)(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, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40 ), ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 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 E26.973
Graph:: bipartite
	v = 7 e = 120 f = 63
	degree seq :: [ 30^4, 40^3 ]

E26.971 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 20, 20})
Quotient :: dipole
Aut^+ = C5 x (C3 : C4) (small group id <60, 1>)
Aut   = (C6 x D10) : C2 (small group id <120, 12>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1, Y2^-1 * Y1^-2 * Y2 * Y1^2, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y1^-2 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-2, Y2^4 * Y1^-1 * Y2^2 * Y1^-1, (Y3^-1 * Y1^-1)^15 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 18, 78, 38, 98, 36, 96, 17, 77, 26, 86, 44, 104, 56, 116, 60, 120, 59, 119, 49, 109, 29, 89, 10, 70, 22, 82, 42, 102, 33, 93, 13, 73, 4, 64)(3, 63, 9, 69, 19, 79, 41, 101, 34, 94, 16, 76, 5, 65, 15, 75, 20, 80, 43, 103, 54, 114, 53, 113, 37, 97, 47, 107, 28, 88, 45, 105, 58, 118, 50, 110, 30, 90, 11, 71)(7, 67, 21, 81, 39, 99, 35, 95, 14, 74, 25, 85, 8, 68, 24, 84, 40, 100, 55, 115, 51, 111, 31, 91, 48, 108, 27, 87, 46, 106, 57, 117, 52, 112, 32, 92, 12, 72, 23, 83)(121, 181, 123, 183, 130, 190, 148, 208, 164, 224, 140, 200, 126, 186, 139, 199, 162, 222, 178, 238, 180, 240, 174, 234, 158, 218, 154, 214, 133, 193, 150, 210, 169, 229, 157, 217, 137, 197, 125, 185)(122, 182, 127, 187, 142, 202, 166, 226, 176, 236, 160, 220, 138, 198, 159, 219, 153, 213, 172, 232, 179, 239, 171, 231, 156, 216, 134, 194, 124, 184, 132, 192, 149, 209, 168, 228, 146, 206, 128, 188)(129, 189, 144, 204, 165, 225, 141, 201, 163, 223, 177, 237, 161, 221, 175, 235, 170, 230, 155, 215, 173, 233, 152, 212, 136, 196, 151, 211, 131, 191, 145, 205, 167, 227, 143, 203, 135, 195, 147, 207)
	L = (1, 123)(2, 127)(3, 130)(4, 132)(5, 121)(6, 139)(7, 142)(8, 122)(9, 144)(10, 148)(11, 145)(12, 149)(13, 150)(14, 124)(15, 147)(16, 151)(17, 125)(18, 159)(19, 162)(20, 126)(21, 163)(22, 166)(23, 135)(24, 165)(25, 167)(26, 128)(27, 129)(28, 164)(29, 168)(30, 169)(31, 131)(32, 136)(33, 172)(34, 133)(35, 173)(36, 134)(37, 137)(38, 154)(39, 153)(40, 138)(41, 175)(42, 178)(43, 177)(44, 140)(45, 141)(46, 176)(47, 143)(48, 146)(49, 157)(50, 155)(51, 156)(52, 179)(53, 152)(54, 158)(55, 170)(56, 160)(57, 161)(58, 180)(59, 171)(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, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 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 E26.972
Graph:: bipartite
	v = 6 e = 120 f = 64
	degree seq :: [ 40^6 ]

E26.972 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 20, 20})
Quotient :: dipole
Aut^+ = C5 x (C3 : C4) (small group id <60, 1>)
Aut   = (C6 x D10) : C2 (small group id <120, 12>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^2 * Y2 * Y3^-2, Y3^-2 * Y2^2 * Y3^-1 * Y2^-1 * Y3^-1, Y2^3 * Y3^-1 * Y2 * Y3 * Y2, (Y3^-1 * Y2^-1)^4, (Y3 * Y2^-1)^20, (Y3^-1 * Y1^-1)^20 ]
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, 138, 198, 154, 214, 171, 231, 177, 237, 175, 235, 179, 239, 180, 240, 176, 236, 149, 209, 158, 218, 133, 193, 124, 184)(123, 183, 129, 189, 147, 207, 156, 216, 132, 192, 155, 215, 169, 229, 139, 199, 157, 217, 167, 227, 143, 203, 127, 187, 141, 201, 153, 213, 131, 191)(125, 185, 135, 195, 163, 223, 161, 221, 134, 194, 160, 220, 150, 210, 140, 200, 159, 219, 173, 233, 145, 205, 128, 188, 144, 204, 165, 225, 136, 196)(130, 190, 142, 202, 168, 228, 178, 238, 152, 212, 164, 224, 172, 232, 174, 234, 162, 222, 137, 197, 146, 206, 148, 208, 170, 230, 166, 226, 151, 211)
	L = (1, 123)(2, 127)(3, 130)(4, 132)(5, 121)(6, 139)(7, 142)(8, 122)(9, 148)(10, 150)(11, 152)(12, 151)(13, 157)(14, 124)(15, 149)(16, 154)(17, 125)(18, 156)(19, 168)(20, 126)(21, 170)(22, 163)(23, 164)(24, 158)(25, 171)(26, 128)(27, 174)(28, 140)(29, 129)(30, 177)(31, 145)(32, 160)(33, 162)(34, 131)(35, 146)(36, 178)(37, 166)(38, 141)(39, 133)(40, 176)(41, 138)(42, 134)(43, 175)(44, 135)(45, 179)(46, 136)(47, 137)(48, 165)(49, 172)(50, 161)(51, 143)(52, 144)(53, 180)(54, 159)(55, 147)(56, 155)(57, 169)(58, 173)(59, 153)(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) :: { ( 40, 40 ), ( 40^30 ) }
Outer automorphisms :: reflexible
Dual of E26.971
Graph:: simple bipartite
	v = 64 e = 120 f = 6
	degree seq :: [ 2^60, 30^4 ]

E26.973 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 20, 20})
Quotient :: dipole
Aut^+ = C5 x (C3 : C4) (small group id <60, 1>)
Aut   = (C6 x D10) : C2 (small group id <120, 12>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-2 * Y3 * Y1^2, Y1 * Y3^-1 * Y1^3 * Y3^2, Y1^-1 * Y3^-1 * Y1 * Y3^-4, (Y3 * Y1^-1)^4, Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-2, Y1^20, (Y3 * Y2^-1)^15 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 18, 78, 48, 108, 57, 117, 60, 120, 44, 104, 30, 90, 42, 102, 53, 113, 32, 92, 47, 107, 27, 87, 50, 110, 58, 118, 59, 119, 37, 97, 13, 73, 4, 64)(3, 63, 9, 69, 19, 79, 43, 103, 52, 112, 41, 101, 39, 99, 14, 74, 25, 85, 8, 68, 24, 84, 46, 106, 17, 77, 45, 105, 49, 109, 35, 95, 51, 111, 22, 82, 33, 93, 11, 71)(5, 65, 15, 75, 20, 80, 40, 100, 56, 116, 26, 86, 55, 115, 31, 91, 10, 70, 29, 89, 36, 96, 12, 72, 23, 83, 7, 67, 21, 81, 34, 94, 54, 114, 28, 88, 38, 98, 16, 76)(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, 130)(4, 132)(5, 121)(6, 139)(7, 142)(8, 122)(9, 147)(10, 150)(11, 152)(12, 155)(13, 153)(14, 124)(15, 161)(16, 163)(17, 125)(18, 154)(19, 156)(20, 126)(21, 170)(22, 162)(23, 167)(24, 158)(25, 174)(26, 128)(27, 146)(28, 129)(29, 165)(30, 145)(31, 166)(32, 160)(33, 175)(34, 131)(35, 164)(36, 173)(37, 149)(38, 133)(39, 141)(40, 134)(41, 157)(42, 135)(43, 178)(44, 136)(45, 177)(46, 138)(47, 137)(48, 172)(49, 140)(50, 169)(51, 176)(52, 143)(53, 144)(54, 179)(55, 180)(56, 168)(57, 148)(58, 151)(59, 171)(60, 159)(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, 40 ), ( 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40 ) }
Outer automorphisms :: reflexible
Dual of E26.970
Graph:: simple bipartite
	v = 63 e = 120 f = 7
	degree seq :: [ 2^60, 40^3 ]

E26.974 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 20, 20})
Quotient :: dipole
Aut^+ = C5 x (C3 : C4) (small group id <60, 1>)
Aut   = (C6 x D10) : C2 (small group id <120, 12>)
|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 * Y3^4 * Y1^-1 * Y3, Y3 * Y1^-1 * Y3^-2 * Y1 * Y3^2 * Y1^-1 * Y3^-1 * Y1, Y1^6 * Y3 * Y1 * Y3^-1 * Y1 * Y3, (Y3 * Y2^-1)^15, (Y3^-1 * Y1^-1)^20 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 18, 78, 43, 103, 27, 87, 45, 105, 56, 116, 60, 120, 53, 113, 58, 118, 55, 115, 59, 119, 54, 114, 57, 117, 40, 100, 30, 90, 34, 94, 13, 73, 4, 64)(3, 63, 9, 69, 19, 79, 42, 102, 17, 77, 41, 101, 44, 104, 39, 99, 48, 108, 38, 98, 46, 106, 33, 93, 47, 107, 22, 82, 36, 96, 14, 74, 25, 85, 8, 68, 24, 84, 11, 71)(5, 65, 15, 75, 20, 80, 12, 72, 23, 83, 7, 67, 21, 81, 37, 97, 52, 112, 26, 86, 51, 111, 32, 92, 50, 110, 28, 88, 49, 109, 31, 91, 10, 70, 29, 89, 35, 95, 16, 76)(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, 130)(4, 132)(5, 121)(6, 139)(7, 142)(8, 122)(9, 147)(10, 150)(11, 138)(12, 153)(13, 144)(14, 124)(15, 158)(16, 159)(17, 125)(18, 157)(19, 155)(20, 126)(21, 165)(22, 154)(23, 163)(24, 169)(25, 170)(26, 128)(27, 146)(28, 129)(29, 161)(30, 145)(31, 162)(32, 131)(33, 160)(34, 135)(35, 133)(36, 171)(37, 134)(38, 174)(39, 175)(40, 136)(41, 173)(42, 176)(43, 137)(44, 140)(45, 164)(46, 141)(47, 172)(48, 143)(49, 177)(50, 179)(51, 178)(52, 180)(53, 148)(54, 149)(55, 151)(56, 152)(57, 156)(58, 166)(59, 167)(60, 168)(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, 40 ), ( 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40 ) }
Outer automorphisms :: reflexible
Dual of E26.968
Graph:: simple bipartite
	v = 63 e = 120 f = 7
	degree seq :: [ 2^60, 40^3 ]

E26.975 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 20, 20})
Quotient :: dipole
Aut^+ = C5 x (C3 : C4) (small group id <60, 1>)
Aut   = (C6 x D10) : C2 (small group id <120, 12>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y1^2 * Y3 * Y1^-2, Y1^3 * Y3^-3 * Y1, Y3 * Y1 * Y3^-2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^-1 * Y1, (Y3 * Y2^-1)^15 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 18, 78, 30, 90, 39, 99, 50, 110, 55, 115, 59, 119, 54, 114, 58, 118, 57, 117, 60, 120, 53, 113, 56, 116, 32, 92, 43, 103, 27, 87, 13, 73, 4, 64)(3, 63, 9, 69, 19, 79, 14, 74, 25, 85, 8, 68, 24, 84, 35, 95, 47, 107, 22, 82, 46, 106, 40, 100, 48, 108, 38, 98, 45, 105, 42, 102, 17, 77, 41, 101, 33, 93, 11, 71)(5, 65, 15, 75, 20, 80, 31, 91, 10, 70, 29, 89, 44, 104, 34, 94, 51, 111, 28, 88, 49, 109, 37, 97, 52, 112, 26, 86, 36, 96, 12, 72, 23, 83, 7, 67, 21, 81, 16, 76)(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, 130)(4, 132)(5, 121)(6, 139)(7, 142)(8, 122)(9, 147)(10, 150)(11, 152)(12, 155)(13, 153)(14, 124)(15, 158)(16, 160)(17, 125)(18, 136)(19, 164)(20, 126)(21, 133)(22, 159)(23, 163)(24, 169)(25, 171)(26, 128)(27, 146)(28, 129)(29, 161)(30, 145)(31, 162)(32, 157)(33, 140)(34, 131)(35, 138)(36, 176)(37, 134)(38, 174)(39, 135)(40, 175)(41, 173)(42, 177)(43, 137)(44, 170)(45, 141)(46, 156)(47, 172)(48, 143)(49, 178)(50, 144)(51, 179)(52, 180)(53, 148)(54, 149)(55, 151)(56, 165)(57, 154)(58, 166)(59, 167)(60, 168)(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, 40 ), ( 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40, 30, 40 ) }
Outer automorphisms :: reflexible
Dual of E26.969
Graph:: simple bipartite
	v = 63 e = 120 f = 7
	degree seq :: [ 2^60, 40^3 ]

E26.976 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {12, 20, 30})
Quotient :: edge
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (T2, T1^-1), (F * T2)^2, (F * T1)^2, T2^-5 * T1^-3, T1^12, T1^-24 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 22, 36, 45, 54, 58, 48, 57, 52, 41, 28, 14, 27, 25, 13, 5)(2, 7, 17, 31, 23, 11, 21, 35, 44, 53, 47, 56, 60, 51, 40, 26, 39, 32, 18, 8)(4, 10, 20, 34, 43, 37, 46, 55, 59, 50, 38, 49, 42, 30, 16, 6, 15, 29, 24, 12)(61, 62, 66, 74, 86, 98, 108, 107, 97, 82, 71, 64)(63, 67, 75, 87, 99, 109, 117, 116, 106, 96, 81, 70)(65, 68, 76, 88, 100, 110, 118, 113, 103, 93, 83, 72)(69, 77, 89, 85, 92, 102, 112, 120, 115, 105, 95, 80)(73, 78, 90, 101, 111, 119, 114, 104, 94, 79, 91, 84)
	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) :: { ( 60^12 ), ( 60^20 ) }
Outer automorphisms :: reflexible
Dual of E26.980
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 60 f = 2
	degree seq :: [ 12^5, 20^3 ]

E26.977 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {12, 20, 30})
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^-1, T2), (F * T1)^2, T1^-2 * T2^3, T1^20 ]
Map:: non-degenerate
	R = (1, 3, 9, 6, 15, 22, 20, 27, 34, 32, 39, 46, 44, 51, 58, 56, 60, 54, 47, 49, 42, 35, 37, 30, 23, 25, 18, 11, 13, 5)(2, 7, 16, 14, 21, 28, 26, 33, 40, 38, 45, 52, 50, 57, 59, 53, 55, 48, 41, 43, 36, 29, 31, 24, 17, 19, 12, 4, 10, 8)(61, 62, 66, 74, 80, 86, 92, 98, 104, 110, 116, 113, 107, 101, 95, 89, 83, 77, 71, 64)(63, 67, 75, 81, 87, 93, 99, 105, 111, 117, 120, 115, 109, 103, 97, 91, 85, 79, 73, 70)(65, 68, 69, 76, 82, 88, 94, 100, 106, 112, 118, 119, 114, 108, 102, 96, 90, 84, 78, 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) :: { ( 24^20 ), ( 24^30 ) }
Outer automorphisms :: reflexible
Dual of E26.981
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 20^3, 30^2 ]

E26.978 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {12, 20, 30})
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, T2^2 * T1^5, T2^12 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 30, 40, 50, 45, 35, 25, 13, 5)(2, 7, 17, 28, 38, 48, 57, 49, 39, 29, 18, 8)(4, 10, 20, 31, 41, 51, 58, 54, 44, 34, 24, 12)(6, 15, 22, 33, 43, 53, 60, 56, 47, 37, 27, 16)(11, 21, 32, 42, 52, 59, 55, 46, 36, 26, 14, 23)(61, 62, 66, 74, 84, 73, 78, 87, 96, 104, 95, 99, 107, 115, 118, 110, 117, 120, 112, 101, 90, 98, 103, 92, 80, 69, 77, 82, 71, 64)(63, 67, 75, 83, 72, 65, 68, 76, 86, 94, 85, 89, 97, 106, 114, 105, 109, 116, 119, 111, 100, 108, 113, 102, 91, 79, 88, 93, 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) :: { ( 40^12 ), ( 40^30 ) }
Outer automorphisms :: reflexible
Dual of E26.979
Transitivity :: ET+
Graph:: bipartite
	v = 7 e = 60 f = 3
	degree seq :: [ 12^5, 30^2 ]

E26.979 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {12, 20, 30})
Quotient :: loop
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (T2, T1^-1), (F * T2)^2, (F * T1)^2, T2^-5 * T1^-3, T1^12, T1^-24 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 19, 79, 33, 93, 22, 82, 36, 96, 45, 105, 54, 114, 58, 118, 48, 108, 57, 117, 52, 112, 41, 101, 28, 88, 14, 74, 27, 87, 25, 85, 13, 73, 5, 65)(2, 62, 7, 67, 17, 77, 31, 91, 23, 83, 11, 71, 21, 81, 35, 95, 44, 104, 53, 113, 47, 107, 56, 116, 60, 120, 51, 111, 40, 100, 26, 86, 39, 99, 32, 92, 18, 78, 8, 68)(4, 64, 10, 70, 20, 80, 34, 94, 43, 103, 37, 97, 46, 106, 55, 115, 59, 119, 50, 110, 38, 98, 49, 109, 42, 102, 30, 90, 16, 76, 6, 66, 15, 75, 29, 89, 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, 98)(27, 99)(28, 100)(29, 85)(30, 101)(31, 84)(32, 102)(33, 83)(34, 79)(35, 80)(36, 81)(37, 82)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 107)(49, 117)(50, 118)(51, 119)(52, 120)(53, 103)(54, 104)(55, 105)(56, 106)(57, 116)(58, 113)(59, 114)(60, 115)
	local type(s) :: { ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E26.978
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 60 f = 7
	degree seq :: [ 40^3 ]

E26.980 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {12, 20, 30})
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^-1, T2), (F * T1)^2, T1^-2 * T2^3, T1^20 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 6, 66, 15, 75, 22, 82, 20, 80, 27, 87, 34, 94, 32, 92, 39, 99, 46, 106, 44, 104, 51, 111, 58, 118, 56, 116, 60, 120, 54, 114, 47, 107, 49, 109, 42, 102, 35, 95, 37, 97, 30, 90, 23, 83, 25, 85, 18, 78, 11, 71, 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, 12, 72, 4, 64, 10, 70, 8, 68)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 74)(7, 75)(8, 69)(9, 76)(10, 63)(11, 64)(12, 65)(13, 70)(14, 80)(15, 81)(16, 82)(17, 71)(18, 72)(19, 73)(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, 113)(57, 120)(58, 119)(59, 114)(60, 115)
	local type(s) :: { ( 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.976
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 60 f = 8
	degree seq :: [ 60^2 ]

E26.981 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {12, 20, 30})
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, T2^2 * T1^5, T2^12 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 19, 79, 30, 90, 40, 100, 50, 110, 45, 105, 35, 95, 25, 85, 13, 73, 5, 65)(2, 62, 7, 67, 17, 77, 28, 88, 38, 98, 48, 108, 57, 117, 49, 109, 39, 99, 29, 89, 18, 78, 8, 68)(4, 64, 10, 70, 20, 80, 31, 91, 41, 101, 51, 111, 58, 118, 54, 114, 44, 104, 34, 94, 24, 84, 12, 72)(6, 66, 15, 75, 22, 82, 33, 93, 43, 103, 53, 113, 60, 120, 56, 116, 47, 107, 37, 97, 27, 87, 16, 76)(11, 71, 21, 81, 32, 92, 42, 102, 52, 112, 59, 119, 55, 115, 46, 106, 36, 96, 26, 86, 14, 74, 23, 83)
	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, 84)(15, 83)(16, 86)(17, 82)(18, 87)(19, 88)(20, 69)(21, 70)(22, 71)(23, 72)(24, 73)(25, 89)(26, 94)(27, 96)(28, 93)(29, 97)(30, 98)(31, 79)(32, 80)(33, 81)(34, 85)(35, 99)(36, 104)(37, 106)(38, 103)(39, 107)(40, 108)(41, 90)(42, 91)(43, 92)(44, 95)(45, 109)(46, 114)(47, 115)(48, 113)(49, 116)(50, 117)(51, 100)(52, 101)(53, 102)(54, 105)(55, 118)(56, 119)(57, 120)(58, 110)(59, 111)(60, 112)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.977
Transitivity :: ET+ VT+ AT
Graph::
	v = 5 e = 60 f = 5
	degree seq :: [ 24^5 ]

E26.982 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 20, 30})
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, Y1 * Y3, Y1^-1 * Y3^-1, Y3 * Y2 * Y1 * Y2^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-3 * Y1^-1, Y3^12, Y1^12, Y2^2 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^2 * Y3 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 26, 86, 38, 98, 48, 108, 47, 107, 37, 97, 22, 82, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 27, 87, 39, 99, 49, 109, 57, 117, 56, 116, 46, 106, 36, 96, 21, 81, 10, 70)(5, 65, 8, 68, 16, 76, 28, 88, 40, 100, 50, 110, 58, 118, 53, 113, 43, 103, 33, 93, 23, 83, 12, 72)(9, 69, 17, 77, 29, 89, 25, 85, 32, 92, 42, 102, 52, 112, 60, 120, 55, 115, 45, 105, 35, 95, 20, 80)(13, 73, 18, 78, 30, 90, 41, 101, 51, 111, 59, 119, 54, 114, 44, 104, 34, 94, 19, 79, 31, 91, 24, 84)(121, 181, 123, 183, 129, 189, 139, 199, 153, 213, 142, 202, 156, 216, 165, 225, 174, 234, 178, 238, 168, 228, 177, 237, 172, 232, 161, 221, 148, 208, 134, 194, 147, 207, 145, 205, 133, 193, 125, 185)(122, 182, 127, 187, 137, 197, 151, 211, 143, 203, 131, 191, 141, 201, 155, 215, 164, 224, 173, 233, 167, 227, 176, 236, 180, 240, 171, 231, 160, 220, 146, 206, 159, 219, 152, 212, 138, 198, 128, 188)(124, 184, 130, 190, 140, 200, 154, 214, 163, 223, 157, 217, 166, 226, 175, 235, 179, 239, 170, 230, 158, 218, 169, 229, 162, 222, 150, 210, 136, 196, 126, 186, 135, 195, 149, 209, 144, 204, 132, 192)
	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, 153)(24, 151)(25, 149)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 145)(33, 163)(34, 164)(35, 165)(36, 166)(37, 167)(38, 146)(39, 147)(40, 148)(41, 150)(42, 152)(43, 173)(44, 174)(45, 175)(46, 176)(47, 168)(48, 158)(49, 159)(50, 160)(51, 161)(52, 162)(53, 178)(54, 179)(55, 180)(56, 177)(57, 169)(58, 170)(59, 171)(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, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ), ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 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 E26.985
Graph:: bipartite
	v = 8 e = 120 f = 62
	degree seq :: [ 24^5, 40^3 ]

E26.983 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 20, 30})
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^-1), (R * Y1)^2, (R * Y3)^2, Y1^2 * Y2^-3, Y1^20, (Y3^-1 * Y1^-1)^12 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 20, 80, 26, 86, 32, 92, 38, 98, 44, 104, 50, 110, 56, 116, 53, 113, 47, 107, 41, 101, 35, 95, 29, 89, 23, 83, 17, 77, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 21, 81, 27, 87, 33, 93, 39, 99, 45, 105, 51, 111, 57, 117, 60, 120, 55, 115, 49, 109, 43, 103, 37, 97, 31, 91, 25, 85, 19, 79, 13, 73, 10, 70)(5, 65, 8, 68, 9, 69, 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)(121, 181, 123, 183, 129, 189, 126, 186, 135, 195, 142, 202, 140, 200, 147, 207, 154, 214, 152, 212, 159, 219, 166, 226, 164, 224, 171, 231, 178, 238, 176, 236, 180, 240, 174, 234, 167, 227, 169, 229, 162, 222, 155, 215, 157, 217, 150, 210, 143, 203, 145, 205, 138, 198, 131, 191, 133, 193, 125, 185)(122, 182, 127, 187, 136, 196, 134, 194, 141, 201, 148, 208, 146, 206, 153, 213, 160, 220, 158, 218, 165, 225, 172, 232, 170, 230, 177, 237, 179, 239, 173, 233, 175, 235, 168, 228, 161, 221, 163, 223, 156, 216, 149, 209, 151, 211, 144, 204, 137, 197, 139, 199, 132, 192, 124, 184, 130, 190, 128, 188)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 135)(7, 136)(8, 122)(9, 126)(10, 128)(11, 133)(12, 124)(13, 125)(14, 141)(15, 142)(16, 134)(17, 139)(18, 131)(19, 132)(20, 147)(21, 148)(22, 140)(23, 145)(24, 137)(25, 138)(26, 153)(27, 154)(28, 146)(29, 151)(30, 143)(31, 144)(32, 159)(33, 160)(34, 152)(35, 157)(36, 149)(37, 150)(38, 165)(39, 166)(40, 158)(41, 163)(42, 155)(43, 156)(44, 171)(45, 172)(46, 164)(47, 169)(48, 161)(49, 162)(50, 177)(51, 178)(52, 170)(53, 175)(54, 167)(55, 168)(56, 180)(57, 179)(58, 176)(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, 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, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E26.984
Graph:: bipartite
	v = 5 e = 120 f = 65
	degree seq :: [ 40^3, 60^2 ]

E26.984 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 20, 30})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3, Y2), Y3^5 * Y2^-2, Y2^12, (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, 134, 194, 146, 206, 156, 216, 166, 226, 162, 222, 152, 212, 142, 202, 131, 191, 124, 184)(123, 183, 127, 187, 135, 195, 147, 207, 157, 217, 167, 227, 175, 235, 171, 231, 161, 221, 151, 211, 141, 201, 130, 190)(125, 185, 128, 188, 136, 196, 148, 208, 158, 218, 168, 228, 176, 236, 172, 232, 163, 223, 153, 213, 143, 203, 132, 192)(129, 189, 137, 197, 149, 209, 159, 219, 169, 229, 177, 237, 180, 240, 174, 234, 165, 225, 155, 215, 145, 205, 140, 200)(133, 193, 138, 198, 139, 199, 150, 210, 160, 220, 170, 230, 178, 238, 179, 239, 173, 233, 164, 224, 154, 214, 144, 204)
	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, 150)(18, 128)(19, 136)(20, 138)(21, 145)(22, 151)(23, 131)(24, 132)(25, 133)(26, 157)(27, 159)(28, 134)(29, 160)(30, 148)(31, 155)(32, 161)(33, 142)(34, 143)(35, 144)(36, 167)(37, 169)(38, 146)(39, 170)(40, 158)(41, 165)(42, 171)(43, 152)(44, 153)(45, 154)(46, 175)(47, 177)(48, 156)(49, 178)(50, 168)(51, 174)(52, 162)(53, 163)(54, 164)(55, 180)(56, 166)(57, 179)(58, 176)(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) :: { ( 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 E26.983
Graph:: simple bipartite
	v = 65 e = 120 f = 5
	degree seq :: [ 2^60, 24^5 ]

E26.985 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 20, 30})
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, (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3 * Y1^4 * Y3, Y1 * Y3^-1 * Y1 * Y3^-3 * Y1^2 * Y3^-6 * Y1, Y3^-2 * Y1^3 * Y3^-2 * Y1^3 * Y3^-2 * Y1^3 * Y3^-2 * Y1, Y3^-1 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^2, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 24, 84, 13, 73, 18, 78, 27, 87, 36, 96, 44, 104, 35, 95, 39, 99, 47, 107, 55, 115, 58, 118, 50, 110, 57, 117, 60, 120, 52, 112, 41, 101, 30, 90, 38, 98, 43, 103, 32, 92, 20, 80, 9, 69, 17, 77, 22, 82, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 23, 83, 12, 72, 5, 65, 8, 68, 16, 76, 26, 86, 34, 94, 25, 85, 29, 89, 37, 97, 46, 106, 54, 114, 45, 105, 49, 109, 56, 116, 59, 119, 51, 111, 40, 100, 48, 108, 53, 113, 42, 102, 31, 91, 19, 79, 28, 88, 33, 93, 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, 143)(15, 142)(16, 126)(17, 148)(18, 128)(19, 150)(20, 151)(21, 152)(22, 153)(23, 131)(24, 132)(25, 133)(26, 134)(27, 136)(28, 158)(29, 138)(30, 160)(31, 161)(32, 162)(33, 163)(34, 144)(35, 145)(36, 146)(37, 147)(38, 168)(39, 149)(40, 170)(41, 171)(42, 172)(43, 173)(44, 154)(45, 155)(46, 156)(47, 157)(48, 177)(49, 159)(50, 165)(51, 178)(52, 179)(53, 180)(54, 164)(55, 166)(56, 167)(57, 169)(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) :: { ( 24, 40 ), ( 24, 40, 24, 40, 24, 40, 24, 40, 24, 40, 24, 40, 24, 40, 24, 40, 24, 40, 24, 40, 24, 40, 24, 40, 24, 40, 24, 40, 24, 40, 24, 40, 24, 40, 24, 40, 24, 40, 24, 40, 24, 40, 24, 40, 24, 40, 24, 40, 24, 40, 24, 40, 24, 40, 24, 40, 24, 40, 24, 40 ) }
Outer automorphisms :: reflexible
Dual of E26.982
Graph:: simple bipartite
	v = 62 e = 120 f = 8
	degree seq :: [ 2^60, 60^2 ]

E26.986 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 20, 30})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, (Y2^-1, Y1^-1), Y2 * Y1 * Y2^4 * Y3^-1, (Y1^-1 * Y3)^6, Y1^12, 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 * Y1 * Y2^2 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 26, 86, 36, 96, 46, 106, 44, 104, 34, 94, 22, 82, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 27, 87, 37, 97, 47, 107, 55, 115, 53, 113, 43, 103, 33, 93, 21, 81, 10, 70)(5, 65, 8, 68, 16, 76, 28, 88, 38, 98, 48, 108, 56, 116, 54, 114, 45, 105, 35, 95, 23, 83, 12, 72)(9, 69, 17, 77, 25, 85, 30, 90, 40, 100, 50, 110, 58, 118, 60, 120, 52, 112, 42, 102, 32, 92, 20, 80)(13, 73, 18, 78, 29, 89, 39, 99, 49, 109, 57, 117, 59, 119, 51, 111, 41, 101, 31, 91, 19, 79, 24, 84)(121, 181, 123, 183, 129, 189, 139, 199, 143, 203, 131, 191, 141, 201, 152, 212, 161, 221, 165, 225, 154, 214, 163, 223, 172, 232, 179, 239, 176, 236, 166, 226, 175, 235, 178, 238, 169, 229, 158, 218, 146, 206, 157, 217, 160, 220, 149, 209, 136, 196, 126, 186, 135, 195, 145, 205, 133, 193, 125, 185)(122, 182, 127, 187, 137, 197, 144, 204, 132, 192, 124, 184, 130, 190, 140, 200, 151, 211, 155, 215, 142, 202, 153, 213, 162, 222, 171, 231, 174, 234, 164, 224, 173, 233, 180, 240, 177, 237, 168, 228, 156, 216, 167, 227, 170, 230, 159, 219, 148, 208, 134, 194, 147, 207, 150, 210, 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, 151)(20, 152)(21, 153)(22, 154)(23, 155)(24, 139)(25, 137)(26, 134)(27, 135)(28, 136)(29, 138)(30, 145)(31, 161)(32, 162)(33, 163)(34, 164)(35, 165)(36, 146)(37, 147)(38, 148)(39, 149)(40, 150)(41, 171)(42, 172)(43, 173)(44, 166)(45, 174)(46, 156)(47, 157)(48, 158)(49, 159)(50, 160)(51, 179)(52, 180)(53, 175)(54, 176)(55, 167)(56, 168)(57, 169)(58, 170)(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, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40 ), ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 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 E26.987
Graph:: bipartite
	v = 7 e = 120 f = 63
	degree seq :: [ 24^5, 60^2 ]

E26.987 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 20, 30})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1, Y3), (R * Y3)^2, (R * Y1)^2, Y1^2 * Y3^-3, (R * Y2 * Y3^-1)^2, Y1^20, (Y3 * Y2^-1)^30 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 20, 80, 26, 86, 32, 92, 38, 98, 44, 104, 50, 110, 56, 116, 53, 113, 47, 107, 41, 101, 35, 95, 29, 89, 23, 83, 17, 77, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 21, 81, 27, 87, 33, 93, 39, 99, 45, 105, 51, 111, 57, 117, 60, 120, 55, 115, 49, 109, 43, 103, 37, 97, 31, 91, 25, 85, 19, 79, 13, 73, 10, 70)(5, 65, 8, 68, 9, 69, 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)(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, 136)(8, 122)(9, 126)(10, 128)(11, 133)(12, 124)(13, 125)(14, 141)(15, 142)(16, 134)(17, 139)(18, 131)(19, 132)(20, 147)(21, 148)(22, 140)(23, 145)(24, 137)(25, 138)(26, 153)(27, 154)(28, 146)(29, 151)(30, 143)(31, 144)(32, 159)(33, 160)(34, 152)(35, 157)(36, 149)(37, 150)(38, 165)(39, 166)(40, 158)(41, 163)(42, 155)(43, 156)(44, 171)(45, 172)(46, 164)(47, 169)(48, 161)(49, 162)(50, 177)(51, 178)(52, 170)(53, 175)(54, 167)(55, 168)(56, 180)(57, 179)(58, 176)(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) :: { ( 24, 60 ), ( 24, 60, 24, 60, 24, 60, 24, 60, 24, 60, 24, 60, 24, 60, 24, 60, 24, 60, 24, 60, 24, 60, 24, 60, 24, 60, 24, 60, 24, 60, 24, 60, 24, 60, 24, 60, 24, 60, 24, 60 ) }
Outer automorphisms :: reflexible
Dual of E26.986
Graph:: simple bipartite
	v = 63 e = 120 f = 7
	degree seq :: [ 2^60, 40^3 ]

E26.988 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 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, (F * T1)^2, (T1, T2^-1), T1^-4 * T2^-6, T1^10 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 51, 37, 55, 60, 48, 30, 16, 6, 15, 29, 47, 39, 23, 11, 21, 35, 53, 58, 44, 26, 43, 41, 25, 13, 5)(2, 7, 17, 31, 49, 38, 22, 36, 54, 59, 46, 28, 14, 27, 45, 40, 24, 12, 4, 10, 20, 34, 52, 57, 42, 56, 50, 32, 18, 8)(61, 62, 66, 74, 86, 102, 97, 82, 71, 64)(63, 67, 75, 87, 103, 116, 115, 96, 81, 70)(65, 68, 76, 88, 104, 117, 111, 98, 83, 72)(69, 77, 89, 105, 101, 110, 120, 114, 95, 80)(73, 78, 90, 106, 118, 112, 93, 109, 99, 84)(79, 91, 107, 100, 85, 92, 108, 119, 113, 94)
	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) :: { ( 60^10 ), ( 60^30 ) }
Outer automorphisms :: reflexible
Dual of E26.994
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 60 f = 2
	degree seq :: [ 10^6, 30^2 ]

E26.989 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 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, (T1, T2^-1), (F * T2)^2, (F * T1)^2, T1^-2 * T2^6, T1^-10 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 30, 16, 6, 15, 29, 44, 53, 41, 26, 40, 52, 60, 56, 47, 35, 46, 55, 49, 37, 23, 11, 21, 33, 25, 13, 5)(2, 7, 17, 31, 43, 28, 14, 27, 42, 54, 59, 51, 39, 50, 58, 57, 48, 36, 22, 34, 45, 38, 24, 12, 4, 10, 20, 32, 18, 8)(61, 62, 66, 74, 86, 99, 95, 82, 71, 64)(63, 67, 75, 87, 100, 110, 106, 94, 81, 70)(65, 68, 76, 88, 101, 111, 107, 96, 83, 72)(69, 77, 89, 102, 112, 118, 115, 105, 93, 80)(73, 78, 90, 103, 113, 119, 116, 108, 97, 84)(79, 91, 104, 114, 120, 117, 109, 98, 85, 92)
	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) :: { ( 60^10 ), ( 60^30 ) }
Outer automorphisms :: reflexible
Dual of E26.993
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 60 f = 2
	degree seq :: [ 10^6, 30^2 ]

E26.990 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 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, (T2, T1), (F * T2)^2, (F * T1)^2, T2^-6 * T1^-2, T1^10 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 23, 11, 21, 35, 46, 55, 49, 37, 48, 57, 60, 53, 41, 26, 40, 52, 44, 30, 16, 6, 15, 29, 25, 13, 5)(2, 7, 17, 31, 24, 12, 4, 10, 20, 34, 45, 38, 22, 36, 47, 56, 59, 51, 39, 50, 58, 54, 43, 28, 14, 27, 42, 32, 18, 8)(61, 62, 66, 74, 86, 99, 97, 82, 71, 64)(63, 67, 75, 87, 100, 110, 108, 96, 81, 70)(65, 68, 76, 88, 101, 111, 109, 98, 83, 72)(69, 77, 89, 102, 112, 118, 117, 107, 95, 80)(73, 78, 90, 103, 113, 119, 115, 105, 93, 84)(79, 91, 85, 92, 104, 114, 120, 116, 106, 94)
	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) :: { ( 60^10 ), ( 60^30 ) }
Outer automorphisms :: reflexible
Dual of E26.992
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 60 f = 2
	degree seq :: [ 10^6, 30^2 ]

E26.991 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 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, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^-3 * T1, T1 * T2 * T1^13 * T2, (T1^-1 * T2^-1)^10 ]
Map:: non-degenerate
	R = (1, 3, 9, 16, 6, 15, 26, 33, 23, 32, 42, 49, 39, 48, 58, 60, 55, 53, 44, 51, 46, 37, 28, 35, 30, 21, 11, 19, 13, 5)(2, 7, 17, 25, 14, 24, 34, 41, 31, 40, 50, 57, 47, 56, 52, 59, 54, 45, 36, 43, 38, 29, 20, 27, 22, 12, 4, 10, 18, 8)(61, 62, 66, 74, 83, 91, 99, 107, 115, 114, 106, 98, 90, 82, 73, 78, 69, 77, 86, 94, 102, 110, 118, 112, 104, 96, 88, 80, 71, 64)(63, 67, 75, 84, 92, 100, 108, 116, 113, 105, 97, 89, 81, 72, 65, 68, 76, 85, 93, 101, 109, 117, 120, 119, 111, 103, 95, 87, 79, 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) :: { ( 20^30 ) }
Outer automorphisms :: reflexible
Dual of E26.995
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 60 f = 6
	degree seq :: [ 30^4 ]

E26.992 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 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, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-4 * T2^-6, T1^10 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 19, 79, 33, 93, 51, 111, 37, 97, 55, 115, 60, 120, 48, 108, 30, 90, 16, 76, 6, 66, 15, 75, 29, 89, 47, 107, 39, 99, 23, 83, 11, 71, 21, 81, 35, 95, 53, 113, 58, 118, 44, 104, 26, 86, 43, 103, 41, 101, 25, 85, 13, 73, 5, 65)(2, 62, 7, 67, 17, 77, 31, 91, 49, 109, 38, 98, 22, 82, 36, 96, 54, 114, 59, 119, 46, 106, 28, 88, 14, 74, 27, 87, 45, 105, 40, 100, 24, 84, 12, 72, 4, 64, 10, 70, 20, 80, 34, 94, 52, 112, 57, 117, 42, 102, 56, 116, 50, 110, 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, 102)(27, 103)(28, 104)(29, 105)(30, 106)(31, 107)(32, 108)(33, 109)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 110)(42, 97)(43, 116)(44, 117)(45, 101)(46, 118)(47, 100)(48, 119)(49, 99)(50, 120)(51, 98)(52, 93)(53, 94)(54, 95)(55, 96)(56, 115)(57, 111)(58, 112)(59, 113)(60, 114)
	local type(s) :: { ( 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30 ) }
Outer automorphisms :: reflexible
Dual of E26.990
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 60 f = 8
	degree seq :: [ 60^2 ]

E26.993 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 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, (T1, T2^-1), (F * T2)^2, (F * T1)^2, T1^-2 * T2^6, T1^-10 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 19, 79, 30, 90, 16, 76, 6, 66, 15, 75, 29, 89, 44, 104, 53, 113, 41, 101, 26, 86, 40, 100, 52, 112, 60, 120, 56, 116, 47, 107, 35, 95, 46, 106, 55, 115, 49, 109, 37, 97, 23, 83, 11, 71, 21, 81, 33, 93, 25, 85, 13, 73, 5, 65)(2, 62, 7, 67, 17, 77, 31, 91, 43, 103, 28, 88, 14, 74, 27, 87, 42, 102, 54, 114, 59, 119, 51, 111, 39, 99, 50, 110, 58, 118, 57, 117, 48, 108, 36, 96, 22, 82, 34, 94, 45, 105, 38, 98, 24, 84, 12, 72, 4, 64, 10, 70, 20, 80, 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, 99)(27, 100)(28, 101)(29, 102)(30, 103)(31, 104)(32, 79)(33, 80)(34, 81)(35, 82)(36, 83)(37, 84)(38, 85)(39, 95)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 93)(46, 94)(47, 96)(48, 97)(49, 98)(50, 106)(51, 107)(52, 118)(53, 119)(54, 120)(55, 105)(56, 108)(57, 109)(58, 115)(59, 116)(60, 117)
	local type(s) :: { ( 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30 ) }
Outer automorphisms :: reflexible
Dual of E26.989
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 60 f = 8
	degree seq :: [ 60^2 ]

E26.994 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 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), (F * T2)^2, (F * T1)^2, T2^-6 * T1^-2, T1^10 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 19, 79, 33, 93, 23, 83, 11, 71, 21, 81, 35, 95, 46, 106, 55, 115, 49, 109, 37, 97, 48, 108, 57, 117, 60, 120, 53, 113, 41, 101, 26, 86, 40, 100, 52, 112, 44, 104, 30, 90, 16, 76, 6, 66, 15, 75, 29, 89, 25, 85, 13, 73, 5, 65)(2, 62, 7, 67, 17, 77, 31, 91, 24, 84, 12, 72, 4, 64, 10, 70, 20, 80, 34, 94, 45, 105, 38, 98, 22, 82, 36, 96, 47, 107, 56, 116, 59, 119, 51, 111, 39, 99, 50, 110, 58, 118, 54, 114, 43, 103, 28, 88, 14, 74, 27, 87, 42, 102, 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, 99)(27, 100)(28, 101)(29, 102)(30, 103)(31, 85)(32, 104)(33, 84)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 97)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 93)(46, 94)(47, 95)(48, 96)(49, 98)(50, 108)(51, 109)(52, 118)(53, 119)(54, 120)(55, 105)(56, 106)(57, 107)(58, 117)(59, 115)(60, 116)
	local type(s) :: { ( 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30 ) }
Outer automorphisms :: reflexible
Dual of E26.988
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 60 f = 8
	degree seq :: [ 60^2 ]

E26.995 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 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, (F * T2)^2, (F * T1)^2, (T2, T1), T2^-4 * T1^-6, T2^10 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 19, 79, 33, 93, 51, 111, 41, 101, 25, 85, 13, 73, 5, 65)(2, 62, 7, 67, 17, 77, 31, 91, 49, 109, 60, 120, 50, 110, 32, 92, 18, 78, 8, 68)(4, 64, 10, 70, 20, 80, 34, 94, 52, 112, 56, 116, 42, 102, 40, 100, 24, 84, 12, 72)(6, 66, 15, 75, 29, 89, 47, 107, 37, 97, 55, 115, 59, 119, 48, 108, 30, 90, 16, 76)(11, 71, 21, 81, 35, 95, 53, 113, 57, 117, 44, 104, 26, 86, 43, 103, 39, 99, 23, 83)(14, 74, 27, 87, 45, 105, 38, 98, 22, 82, 36, 96, 54, 114, 58, 118, 46, 106, 28, 88)
	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, 109)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 110)(42, 101)(43, 100)(44, 116)(45, 99)(46, 117)(47, 98)(48, 118)(49, 97)(50, 119)(51, 120)(52, 93)(53, 94)(54, 95)(55, 96)(56, 111)(57, 112)(58, 113)(59, 114)(60, 115)
	local type(s) :: { ( 30^20 ) }
Outer automorphisms :: reflexible
Dual of E26.991
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 60 f = 4
	degree seq :: [ 20^6 ]

E26.996 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 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, Y1 * Y3, (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y1^-1 * Y2 * Y3^-1, (R * Y3)^2, Y3^2 * Y2^-1 * Y3^-2 * Y2, Y2^-1 * Y1^-1 * Y2^-2 * Y3 * Y2^-3 * Y1^-2, Y1^10, Y2^-5 * Y3^4 * Y2^-1, Y2^3 * Y1^-1 * Y2^3 * Y1^5, 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 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 26, 86, 42, 102, 37, 97, 22, 82, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 27, 87, 43, 103, 56, 116, 55, 115, 36, 96, 21, 81, 10, 70)(5, 65, 8, 68, 16, 76, 28, 88, 44, 104, 57, 117, 51, 111, 38, 98, 23, 83, 12, 72)(9, 69, 17, 77, 29, 89, 45, 105, 41, 101, 50, 110, 60, 120, 54, 114, 35, 95, 20, 80)(13, 73, 18, 78, 30, 90, 46, 106, 58, 118, 52, 112, 33, 93, 49, 109, 39, 99, 24, 84)(19, 79, 31, 91, 47, 107, 40, 100, 25, 85, 32, 92, 48, 108, 59, 119, 53, 113, 34, 94)(121, 181, 123, 183, 129, 189, 139, 199, 153, 213, 171, 231, 157, 217, 175, 235, 180, 240, 168, 228, 150, 210, 136, 196, 126, 186, 135, 195, 149, 209, 167, 227, 159, 219, 143, 203, 131, 191, 141, 201, 155, 215, 173, 233, 178, 238, 164, 224, 146, 206, 163, 223, 161, 221, 145, 205, 133, 193, 125, 185)(122, 182, 127, 187, 137, 197, 151, 211, 169, 229, 158, 218, 142, 202, 156, 216, 174, 234, 179, 239, 166, 226, 148, 208, 134, 194, 147, 207, 165, 225, 160, 220, 144, 204, 132, 192, 124, 184, 130, 190, 140, 200, 154, 214, 172, 232, 177, 237, 162, 222, 176, 236, 170, 230, 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, 172)(34, 173)(35, 174)(36, 175)(37, 162)(38, 171)(39, 169)(40, 167)(41, 165)(42, 146)(43, 147)(44, 148)(45, 149)(46, 150)(47, 151)(48, 152)(49, 153)(50, 161)(51, 177)(52, 178)(53, 179)(54, 180)(55, 176)(56, 163)(57, 164)(58, 166)(59, 168)(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) :: { ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ), ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 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 E26.1003
Graph:: bipartite
	v = 8 e = 120 f = 62
	degree seq :: [ 20^6, 60^2 ]

E26.997 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 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, Y1^-1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1^-1 * Y2 * Y3^-1, Y3 * Y2 * Y1 * Y2^-1, (R * Y2)^2, Y2^-3 * Y3 * Y2^-1 * Y1^-1 * Y2^-2, Y1^10, 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 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 26, 86, 39, 99, 37, 97, 22, 82, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 27, 87, 40, 100, 50, 110, 48, 108, 36, 96, 21, 81, 10, 70)(5, 65, 8, 68, 16, 76, 28, 88, 41, 101, 51, 111, 49, 109, 38, 98, 23, 83, 12, 72)(9, 69, 17, 77, 29, 89, 42, 102, 52, 112, 58, 118, 57, 117, 47, 107, 35, 95, 20, 80)(13, 73, 18, 78, 30, 90, 43, 103, 53, 113, 59, 119, 55, 115, 45, 105, 33, 93, 24, 84)(19, 79, 31, 91, 25, 85, 32, 92, 44, 104, 54, 114, 60, 120, 56, 116, 46, 106, 34, 94)(121, 181, 123, 183, 129, 189, 139, 199, 153, 213, 143, 203, 131, 191, 141, 201, 155, 215, 166, 226, 175, 235, 169, 229, 157, 217, 168, 228, 177, 237, 180, 240, 173, 233, 161, 221, 146, 206, 160, 220, 172, 232, 164, 224, 150, 210, 136, 196, 126, 186, 135, 195, 149, 209, 145, 205, 133, 193, 125, 185)(122, 182, 127, 187, 137, 197, 151, 211, 144, 204, 132, 192, 124, 184, 130, 190, 140, 200, 154, 214, 165, 225, 158, 218, 142, 202, 156, 216, 167, 227, 176, 236, 179, 239, 171, 231, 159, 219, 170, 230, 178, 238, 174, 234, 163, 223, 148, 208, 134, 194, 147, 207, 162, 222, 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, 153)(25, 151)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 145)(33, 165)(34, 166)(35, 167)(36, 168)(37, 159)(38, 169)(39, 146)(40, 147)(41, 148)(42, 149)(43, 150)(44, 152)(45, 175)(46, 176)(47, 177)(48, 170)(49, 171)(50, 160)(51, 161)(52, 162)(53, 163)(54, 164)(55, 179)(56, 180)(57, 178)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.1001
Graph:: bipartite
	v = 8 e = 120 f = 62
	degree seq :: [ 20^6, 60^2 ]

E26.998 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 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, Y1^-1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y2)^2, (Y3^-1, Y2^-1), Y3 * Y2^2 * Y3^-1 * Y2^-2, Y2 * Y3 * Y2^5 * Y1^-1, Y1^10, (Y3^-1 * Y2^-1 * Y1)^6, 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, 35, 95, 22, 82, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 27, 87, 40, 100, 50, 110, 46, 106, 34, 94, 21, 81, 10, 70)(5, 65, 8, 68, 16, 76, 28, 88, 41, 101, 51, 111, 47, 107, 36, 96, 23, 83, 12, 72)(9, 69, 17, 77, 29, 89, 42, 102, 52, 112, 58, 118, 55, 115, 45, 105, 33, 93, 20, 80)(13, 73, 18, 78, 30, 90, 43, 103, 53, 113, 59, 119, 56, 116, 48, 108, 37, 97, 24, 84)(19, 79, 31, 91, 44, 104, 54, 114, 60, 120, 57, 117, 49, 109, 38, 98, 25, 85, 32, 92)(121, 181, 123, 183, 129, 189, 139, 199, 150, 210, 136, 196, 126, 186, 135, 195, 149, 209, 164, 224, 173, 233, 161, 221, 146, 206, 160, 220, 172, 232, 180, 240, 176, 236, 167, 227, 155, 215, 166, 226, 175, 235, 169, 229, 157, 217, 143, 203, 131, 191, 141, 201, 153, 213, 145, 205, 133, 193, 125, 185)(122, 182, 127, 187, 137, 197, 151, 211, 163, 223, 148, 208, 134, 194, 147, 207, 162, 222, 174, 234, 179, 239, 171, 231, 159, 219, 170, 230, 178, 238, 177, 237, 168, 228, 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)
	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, 159)(36, 167)(37, 168)(38, 169)(39, 146)(40, 147)(41, 148)(42, 149)(43, 150)(44, 151)(45, 175)(46, 170)(47, 171)(48, 176)(49, 177)(50, 160)(51, 161)(52, 162)(53, 163)(54, 164)(55, 178)(56, 179)(57, 180)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.1002
Graph:: bipartite
	v = 8 e = 120 f = 62
	degree seq :: [ 20^6, 60^2 ]

E26.999 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 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, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y2 * Y1^-1 * Y2 * Y1^-3, Y1 * Y2 * Y1 * Y2^13, (Y3^-1 * Y1^-1)^10 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 9, 69, 17, 77, 24, 84, 31, 91, 27, 87, 33, 93, 40, 100, 47, 107, 43, 103, 49, 109, 56, 116, 60, 120, 59, 119, 53, 113, 46, 106, 50, 110, 44, 104, 37, 97, 30, 90, 34, 94, 28, 88, 21, 81, 13, 73, 18, 78, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 23, 83, 19, 79, 25, 85, 32, 92, 39, 99, 35, 95, 41, 101, 48, 108, 55, 115, 51, 111, 57, 117, 54, 114, 58, 118, 52, 112, 45, 105, 38, 98, 42, 102, 36, 96, 29, 89, 22, 82, 26, 86, 20, 80, 12, 72, 5, 65, 8, 68, 16, 76, 10, 70)(121, 181, 123, 183, 129, 189, 139, 199, 147, 207, 155, 215, 163, 223, 171, 231, 179, 239, 172, 232, 164, 224, 156, 216, 148, 208, 140, 200, 131, 191, 136, 196, 126, 186, 135, 195, 144, 204, 152, 212, 160, 220, 168, 228, 176, 236, 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, 173, 233, 165, 225, 157, 217, 149, 209, 141, 201, 132, 192, 124, 184, 130, 190, 134, 194, 143, 203, 151, 211, 159, 219, 167, 227, 175, 235, 180, 240, 178, 238, 170, 230, 162, 222, 154, 214, 146, 206, 138, 198, 128, 188)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 135)(7, 137)(8, 122)(9, 139)(10, 134)(11, 136)(12, 124)(13, 125)(14, 143)(15, 144)(16, 126)(17, 145)(18, 128)(19, 147)(20, 131)(21, 132)(22, 133)(23, 151)(24, 152)(25, 153)(26, 138)(27, 155)(28, 140)(29, 141)(30, 142)(31, 159)(32, 160)(33, 161)(34, 146)(35, 163)(36, 148)(37, 149)(38, 150)(39, 167)(40, 168)(41, 169)(42, 154)(43, 171)(44, 156)(45, 157)(46, 158)(47, 175)(48, 176)(49, 177)(50, 162)(51, 179)(52, 164)(53, 165)(54, 166)(55, 180)(56, 174)(57, 173)(58, 170)(59, 172)(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, 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 E26.1000
Graph:: bipartite
	v = 4 e = 120 f = 66
	degree seq :: [ 60^4 ]

E26.1000 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 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, (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, Y3^6 * Y2^-4, Y2^10, (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, 134, 194, 146, 206, 162, 222, 157, 217, 142, 202, 131, 191, 124, 184)(123, 183, 127, 187, 135, 195, 147, 207, 163, 223, 176, 236, 171, 231, 156, 216, 141, 201, 130, 190)(125, 185, 128, 188, 136, 196, 148, 208, 164, 224, 177, 237, 172, 232, 158, 218, 143, 203, 132, 192)(129, 189, 137, 197, 149, 209, 165, 225, 178, 238, 175, 235, 161, 221, 170, 230, 155, 215, 140, 200)(133, 193, 138, 198, 150, 210, 166, 226, 153, 213, 169, 229, 180, 240, 173, 233, 159, 219, 144, 204)(139, 199, 151, 211, 167, 227, 179, 239, 174, 234, 160, 220, 145, 205, 152, 212, 168, 228, 154, 214)
	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, 165)(28, 134)(29, 167)(30, 136)(31, 169)(32, 138)(33, 164)(34, 166)(35, 168)(36, 170)(37, 171)(38, 142)(39, 143)(40, 144)(41, 145)(42, 176)(43, 178)(44, 146)(45, 179)(46, 148)(47, 180)(48, 150)(49, 177)(50, 152)(51, 161)(52, 157)(53, 158)(54, 159)(55, 160)(56, 175)(57, 162)(58, 174)(59, 173)(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) :: { ( 60, 60 ), ( 60^20 ) }
Outer automorphisms :: reflexible
Dual of E26.999
Graph:: simple bipartite
	v = 66 e = 120 f = 4
	degree seq :: [ 2^60, 20^6 ]

E26.1001 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 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 :: [ Y2, R^2, (Y3, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^10, Y3^-4 * Y1^-6, Y3^20, (Y3 * Y2^-1)^10, Y3^30 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 26, 86, 42, 102, 41, 101, 50, 110, 59, 119, 54, 114, 35, 95, 20, 80, 9, 69, 17, 77, 29, 89, 45, 105, 39, 99, 24, 84, 13, 73, 18, 78, 30, 90, 46, 106, 57, 117, 52, 112, 33, 93, 49, 109, 37, 97, 22, 82, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 27, 87, 43, 103, 40, 100, 25, 85, 32, 92, 48, 108, 58, 118, 53, 113, 34, 94, 19, 79, 31, 91, 47, 107, 38, 98, 23, 83, 12, 72, 5, 65, 8, 68, 16, 76, 28, 88, 44, 104, 56, 116, 51, 111, 60, 120, 55, 115, 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, 165)(28, 134)(29, 167)(30, 136)(31, 169)(32, 138)(33, 171)(34, 172)(35, 173)(36, 174)(37, 175)(38, 142)(39, 143)(40, 144)(41, 145)(42, 160)(43, 159)(44, 146)(45, 158)(46, 148)(47, 157)(48, 150)(49, 180)(50, 152)(51, 161)(52, 176)(53, 177)(54, 178)(55, 179)(56, 162)(57, 164)(58, 166)(59, 168)(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) :: { ( 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, 20, 60 ) }
Outer automorphisms :: reflexible
Dual of E26.997
Graph:: simple bipartite
	v = 62 e = 120 f = 8
	degree seq :: [ 2^60, 60^2 ]

E26.1002 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 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 :: [ Y2, R^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y1^-6, Y3^-10, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 26, 86, 20, 80, 9, 69, 17, 77, 29, 89, 40, 100, 50, 110, 46, 106, 33, 93, 43, 103, 52, 112, 59, 119, 57, 117, 49, 109, 38, 98, 44, 104, 53, 113, 47, 107, 36, 96, 24, 84, 13, 73, 18, 78, 30, 90, 22, 82, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 27, 87, 39, 99, 34, 94, 19, 79, 31, 91, 41, 101, 51, 111, 58, 118, 55, 115, 45, 105, 54, 114, 60, 120, 56, 116, 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)(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, 170)(40, 171)(41, 172)(42, 150)(43, 174)(44, 152)(45, 158)(46, 175)(47, 155)(48, 156)(49, 157)(50, 178)(51, 179)(52, 180)(53, 162)(54, 164)(55, 169)(56, 167)(57, 168)(58, 177)(59, 176)(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) :: { ( 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, 20, 60 ) }
Outer automorphisms :: reflexible
Dual of E26.998
Graph:: simple bipartite
	v = 62 e = 120 f = 8
	degree seq :: [ 2^60, 60^2 ]

E26.1003 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 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 :: [ Y2, R^2, (Y3, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1^-6, Y3^10, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 26, 86, 24, 84, 13, 73, 18, 78, 30, 90, 40, 100, 50, 110, 49, 109, 38, 98, 44, 104, 53, 113, 59, 119, 56, 116, 46, 106, 33, 93, 43, 103, 52, 112, 48, 108, 35, 95, 20, 80, 9, 69, 17, 77, 29, 89, 22, 82, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 27, 87, 23, 83, 12, 72, 5, 65, 8, 68, 16, 76, 28, 88, 39, 99, 37, 97, 25, 85, 32, 92, 42, 102, 51, 111, 58, 118, 55, 115, 45, 105, 54, 114, 60, 120, 57, 117, 47, 107, 34, 94, 19, 79, 31, 91, 41, 101, 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, 143)(27, 142)(28, 134)(29, 161)(30, 136)(31, 163)(32, 138)(33, 165)(34, 166)(35, 167)(36, 168)(37, 144)(38, 145)(39, 146)(40, 148)(41, 172)(42, 150)(43, 174)(44, 152)(45, 158)(46, 175)(47, 176)(48, 177)(49, 157)(50, 159)(51, 160)(52, 180)(53, 162)(54, 164)(55, 169)(56, 178)(57, 179)(58, 170)(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) :: { ( 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, 20, 60 ) }
Outer automorphisms :: reflexible
Dual of E26.996
Graph:: simple bipartite
	v = 62 e = 120 f = 8
	degree seq :: [ 2^60, 60^2 ]

E26.1004 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {12, 15, 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), T1^4 * T2^5, T1^12, T1^48 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 37, 50, 59, 54, 43, 26, 41, 25, 13, 5)(2, 7, 17, 31, 38, 22, 36, 49, 58, 53, 42, 46, 32, 18, 8)(4, 10, 20, 34, 47, 51, 60, 55, 44, 28, 14, 27, 40, 24, 12)(6, 15, 29, 39, 23, 11, 21, 35, 48, 57, 52, 56, 45, 30, 16)(61, 62, 66, 74, 86, 102, 112, 111, 97, 82, 71, 64)(63, 67, 75, 87, 101, 106, 116, 120, 110, 96, 81, 70)(65, 68, 76, 88, 103, 113, 117, 107, 93, 98, 83, 72)(69, 77, 89, 100, 85, 92, 105, 115, 119, 109, 95, 80)(73, 78, 90, 104, 114, 118, 108, 94, 79, 91, 99, 84)
	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) :: { ( 120^12 ), ( 120^15 ) }
Outer automorphisms :: reflexible
Dual of E26.1008
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 60 f = 1
	degree seq :: [ 12^5, 15^4 ]

E26.1005 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {12, 15, 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), T2^4 * T1^-1, T1^15, 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 ]
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, 56, 55, 46, 54, 60, 58, 51, 57, 59, 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)(61, 62, 66, 74, 82, 90, 98, 106, 111, 103, 95, 87, 79, 71, 64)(63, 67, 75, 83, 91, 99, 107, 114, 117, 110, 102, 94, 86, 78, 70)(65, 68, 76, 84, 92, 100, 108, 115, 118, 112, 104, 96, 88, 80, 72)(69, 77, 85, 93, 101, 109, 116, 120, 119, 113, 105, 97, 89, 81, 73)
	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) :: { ( 24^15 ), ( 24^60 ) }
Outer automorphisms :: reflexible
Dual of E26.1009
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 60 f = 5
	degree seq :: [ 15^4, 60 ]

E26.1006 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {12, 15, 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^-5, T2^12, T2^5 * T1^-1 * T2 * T1^-1 * T2^4 * T1^-2 * T2 * T1^-1, T1^-2 * T2^-2 * T1 * 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, 43, 33, 23, 13, 5)(2, 7, 17, 27, 37, 47, 56, 48, 38, 28, 18, 8)(4, 10, 20, 30, 40, 50, 57, 52, 42, 32, 22, 12)(6, 15, 25, 35, 45, 54, 60, 55, 46, 36, 26, 16)(11, 21, 31, 41, 51, 58, 59, 53, 44, 34, 24, 14)(61, 62, 66, 74, 72, 65, 68, 76, 84, 82, 73, 78, 86, 94, 92, 83, 88, 96, 104, 102, 93, 98, 106, 113, 112, 103, 108, 115, 119, 117, 109, 116, 120, 118, 110, 99, 107, 114, 111, 100, 89, 97, 105, 101, 90, 79, 87, 95, 91, 80, 69, 77, 85, 81, 70, 63, 67, 75, 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) :: { ( 30^12 ), ( 30^60 ) }
Outer automorphisms :: reflexible
Dual of E26.1007
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 60 f = 4
	degree seq :: [ 12^5, 60 ]

E26.1007 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {12, 15, 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), T1^4 * T2^5, T1^12, T1^48 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 19, 79, 33, 93, 37, 97, 50, 110, 59, 119, 54, 114, 43, 103, 26, 86, 41, 101, 25, 85, 13, 73, 5, 65)(2, 62, 7, 67, 17, 77, 31, 91, 38, 98, 22, 82, 36, 96, 49, 109, 58, 118, 53, 113, 42, 102, 46, 106, 32, 92, 18, 78, 8, 68)(4, 64, 10, 70, 20, 80, 34, 94, 47, 107, 51, 111, 60, 120, 55, 115, 44, 104, 28, 88, 14, 74, 27, 87, 40, 100, 24, 84, 12, 72)(6, 66, 15, 75, 29, 89, 39, 99, 23, 83, 11, 71, 21, 81, 35, 95, 48, 108, 57, 117, 52, 112, 56, 116, 45, 105, 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, 102)(27, 101)(28, 103)(29, 100)(30, 104)(31, 99)(32, 105)(33, 98)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 106)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 93)(48, 94)(49, 95)(50, 96)(51, 97)(52, 111)(53, 117)(54, 118)(55, 119)(56, 120)(57, 107)(58, 108)(59, 109)(60, 110)
	local type(s) :: { ( 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60 ) }
Outer automorphisms :: reflexible
Dual of E26.1006
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 60 f = 6
	degree seq :: [ 30^4 ]

E26.1008 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {12, 15, 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), T2^4 * T1^-1, T1^15, 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 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 8, 68, 2, 62, 7, 67, 17, 77, 16, 76, 6, 66, 15, 75, 25, 85, 24, 84, 14, 74, 23, 83, 33, 93, 32, 92, 22, 82, 31, 91, 41, 101, 40, 100, 30, 90, 39, 99, 49, 109, 48, 108, 38, 98, 47, 107, 56, 116, 55, 115, 46, 106, 54, 114, 60, 120, 58, 118, 51, 111, 57, 117, 59, 119, 52, 112, 43, 103, 50, 110, 53, 113, 44, 104, 35, 95, 42, 102, 45, 105, 36, 96, 27, 87, 34, 94, 37, 97, 28, 88, 19, 79, 26, 86, 29, 89, 20, 80, 11, 71, 18, 78, 21, 81, 12, 72, 4, 64, 10, 70, 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, 69)(14, 82)(15, 83)(16, 84)(17, 85)(18, 70)(19, 71)(20, 72)(21, 73)(22, 90)(23, 91)(24, 92)(25, 93)(26, 78)(27, 79)(28, 80)(29, 81)(30, 98)(31, 99)(32, 100)(33, 101)(34, 86)(35, 87)(36, 88)(37, 89)(38, 106)(39, 107)(40, 108)(41, 109)(42, 94)(43, 95)(44, 96)(45, 97)(46, 111)(47, 114)(48, 115)(49, 116)(50, 102)(51, 103)(52, 104)(53, 105)(54, 117)(55, 118)(56, 120)(57, 110)(58, 112)(59, 113)(60, 119)
	local type(s) :: { ( 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15, 12, 15 ) }
Outer automorphisms :: reflexible
Dual of E26.1004
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 60 f = 9
	degree seq :: [ 120 ]

E26.1009 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {12, 15, 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^-5, T2^12, T2^5 * T1^-1 * T2 * T1^-1 * T2^4 * T1^-2 * T2 * T1^-1, T1^-2 * T2^-2 * T1 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^2 * T2^-4 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 19, 79, 29, 89, 39, 99, 49, 109, 43, 103, 33, 93, 23, 83, 13, 73, 5, 65)(2, 62, 7, 67, 17, 77, 27, 87, 37, 97, 47, 107, 56, 116, 48, 108, 38, 98, 28, 88, 18, 78, 8, 68)(4, 64, 10, 70, 20, 80, 30, 90, 40, 100, 50, 110, 57, 117, 52, 112, 42, 102, 32, 92, 22, 82, 12, 72)(6, 66, 15, 75, 25, 85, 35, 95, 45, 105, 54, 114, 60, 120, 55, 115, 46, 106, 36, 96, 26, 86, 16, 76)(11, 71, 21, 81, 31, 91, 41, 101, 51, 111, 58, 118, 59, 119, 53, 113, 44, 104, 34, 94, 24, 84, 14, 74)
	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, 72)(15, 71)(16, 84)(17, 85)(18, 86)(19, 87)(20, 69)(21, 70)(22, 73)(23, 88)(24, 82)(25, 81)(26, 94)(27, 95)(28, 96)(29, 97)(30, 79)(31, 80)(32, 83)(33, 98)(34, 92)(35, 91)(36, 104)(37, 105)(38, 106)(39, 107)(40, 89)(41, 90)(42, 93)(43, 108)(44, 102)(45, 101)(46, 113)(47, 114)(48, 115)(49, 116)(50, 99)(51, 100)(52, 103)(53, 112)(54, 111)(55, 119)(56, 120)(57, 109)(58, 110)(59, 117)(60, 118)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1005
Transitivity :: ET+ VT+ AT
Graph::
	v = 5 e = 60 f = 5
	degree seq :: [ 24^5 ]

E26.1010 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 15, 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 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2^-1), (Y2, Y1^-1), Y2 * Y1 * Y2 * Y1 * Y2^3 * Y1 * Y3^-1, Y2^3 * Y3^-1 * Y2 * Y3^-3 * Y2, Y1^12, Y3^-1 * 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^-2 * Y2^2 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 26, 86, 42, 102, 52, 112, 51, 111, 37, 97, 22, 82, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 27, 87, 41, 101, 46, 106, 56, 116, 60, 120, 50, 110, 36, 96, 21, 81, 10, 70)(5, 65, 8, 68, 16, 76, 28, 88, 43, 103, 53, 113, 57, 117, 47, 107, 33, 93, 38, 98, 23, 83, 12, 72)(9, 69, 17, 77, 29, 89, 40, 100, 25, 85, 32, 92, 45, 105, 55, 115, 59, 119, 49, 109, 35, 95, 20, 80)(13, 73, 18, 78, 30, 90, 44, 104, 54, 114, 58, 118, 48, 108, 34, 94, 19, 79, 31, 91, 39, 99, 24, 84)(121, 181, 123, 183, 129, 189, 139, 199, 153, 213, 157, 217, 170, 230, 179, 239, 174, 234, 163, 223, 146, 206, 161, 221, 145, 205, 133, 193, 125, 185)(122, 182, 127, 187, 137, 197, 151, 211, 158, 218, 142, 202, 156, 216, 169, 229, 178, 238, 173, 233, 162, 222, 166, 226, 152, 212, 138, 198, 128, 188)(124, 184, 130, 190, 140, 200, 154, 214, 167, 227, 171, 231, 180, 240, 175, 235, 164, 224, 148, 208, 134, 194, 147, 207, 160, 220, 144, 204, 132, 192)(126, 186, 135, 195, 149, 209, 159, 219, 143, 203, 131, 191, 141, 201, 155, 215, 168, 228, 177, 237, 172, 232, 176, 236, 165, 225, 150, 210, 136, 196)
	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, 167)(34, 168)(35, 169)(36, 170)(37, 171)(38, 153)(39, 151)(40, 149)(41, 147)(42, 146)(43, 148)(44, 150)(45, 152)(46, 161)(47, 177)(48, 178)(49, 179)(50, 180)(51, 172)(52, 162)(53, 163)(54, 164)(55, 165)(56, 166)(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) :: { ( 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120 ), ( 2, 120, 2, 120, 2, 120, 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 E26.1013
Graph:: bipartite
	v = 9 e = 120 f = 61
	degree seq :: [ 24^5, 30^4 ]

E26.1011 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 15, 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, R * Y2 * R * Y3, (R * Y1)^2, (Y2, Y1), Y2^4 * Y1^-1, Y1^15, (Y3^-1 * Y1^-1)^12 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 22, 82, 30, 90, 38, 98, 46, 106, 51, 111, 43, 103, 35, 95, 27, 87, 19, 79, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 23, 83, 31, 91, 39, 99, 47, 107, 54, 114, 57, 117, 50, 110, 42, 102, 34, 94, 26, 86, 18, 78, 10, 70)(5, 65, 8, 68, 16, 76, 24, 84, 32, 92, 40, 100, 48, 108, 55, 115, 58, 118, 52, 112, 44, 104, 36, 96, 28, 88, 20, 80, 12, 72)(9, 69, 17, 77, 25, 85, 33, 93, 41, 101, 49, 109, 56, 116, 60, 120, 59, 119, 53, 113, 45, 105, 37, 97, 29, 89, 21, 81, 13, 73)(121, 181, 123, 183, 129, 189, 128, 188, 122, 182, 127, 187, 137, 197, 136, 196, 126, 186, 135, 195, 145, 205, 144, 204, 134, 194, 143, 203, 153, 213, 152, 212, 142, 202, 151, 211, 161, 221, 160, 220, 150, 210, 159, 219, 169, 229, 168, 228, 158, 218, 167, 227, 176, 236, 175, 235, 166, 226, 174, 234, 180, 240, 178, 238, 171, 231, 177, 237, 179, 239, 172, 232, 163, 223, 170, 230, 173, 233, 164, 224, 155, 215, 162, 222, 165, 225, 156, 216, 147, 207, 154, 214, 157, 217, 148, 208, 139, 199, 146, 206, 149, 209, 140, 200, 131, 191, 138, 198, 141, 201, 132, 192, 124, 184, 130, 190, 133, 193, 125, 185)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 135)(7, 137)(8, 122)(9, 128)(10, 133)(11, 138)(12, 124)(13, 125)(14, 143)(15, 145)(16, 126)(17, 136)(18, 141)(19, 146)(20, 131)(21, 132)(22, 151)(23, 153)(24, 134)(25, 144)(26, 149)(27, 154)(28, 139)(29, 140)(30, 159)(31, 161)(32, 142)(33, 152)(34, 157)(35, 162)(36, 147)(37, 148)(38, 167)(39, 169)(40, 150)(41, 160)(42, 165)(43, 170)(44, 155)(45, 156)(46, 174)(47, 176)(48, 158)(49, 168)(50, 173)(51, 177)(52, 163)(53, 164)(54, 180)(55, 166)(56, 175)(57, 179)(58, 171)(59, 172)(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, 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, 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 E26.1012
Graph:: bipartite
	v = 5 e = 120 f = 65
	degree seq :: [ 30^4, 120 ]

E26.1012 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 15, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y2^-1), Y3^5 * Y2^-1, Y2^12, 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, (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, 144, 204, 154, 214, 164, 224, 161, 221, 151, 211, 141, 201, 131, 191, 124, 184)(123, 183, 127, 187, 135, 195, 145, 205, 155, 215, 165, 225, 173, 233, 170, 230, 160, 220, 150, 210, 140, 200, 130, 190)(125, 185, 128, 188, 136, 196, 146, 206, 156, 216, 166, 226, 174, 234, 171, 231, 162, 222, 152, 212, 142, 202, 132, 192)(129, 189, 137, 197, 147, 207, 157, 217, 167, 227, 175, 235, 179, 239, 177, 237, 169, 229, 159, 219, 149, 209, 139, 199)(133, 193, 138, 198, 148, 208, 158, 218, 168, 228, 176, 236, 180, 240, 178, 238, 172, 232, 163, 223, 153, 213, 143, 203)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 135)(7, 137)(8, 122)(9, 138)(10, 139)(11, 140)(12, 124)(13, 125)(14, 145)(15, 147)(16, 126)(17, 148)(18, 128)(19, 133)(20, 149)(21, 150)(22, 131)(23, 132)(24, 155)(25, 157)(26, 134)(27, 158)(28, 136)(29, 143)(30, 159)(31, 160)(32, 141)(33, 142)(34, 165)(35, 167)(36, 144)(37, 168)(38, 146)(39, 153)(40, 169)(41, 170)(42, 151)(43, 152)(44, 173)(45, 175)(46, 154)(47, 176)(48, 156)(49, 163)(50, 177)(51, 161)(52, 162)(53, 179)(54, 164)(55, 180)(56, 166)(57, 172)(58, 171)(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) :: { ( 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 E26.1011
Graph:: simple bipartite
	v = 65 e = 120 f = 5
	degree seq :: [ 2^60, 24^5 ]

E26.1013 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 15, 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^-1 * Y1^-5, Y3^12, Y3^5 * Y1^-1 * Y3 * Y1^-1 * Y3^4 * Y1^-2 * Y3 * Y1^-1, Y1^-2 * Y3^-2 * Y1 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^2 * Y3^-4, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 12, 72, 5, 65, 8, 68, 16, 76, 24, 84, 22, 82, 13, 73, 18, 78, 26, 86, 34, 94, 32, 92, 23, 83, 28, 88, 36, 96, 44, 104, 42, 102, 33, 93, 38, 98, 46, 106, 53, 113, 52, 112, 43, 103, 48, 108, 55, 115, 59, 119, 57, 117, 49, 109, 56, 116, 60, 120, 58, 118, 50, 110, 39, 99, 47, 107, 54, 114, 51, 111, 40, 100, 29, 89, 37, 97, 45, 105, 41, 101, 30, 90, 19, 79, 27, 87, 35, 95, 31, 91, 20, 80, 9, 69, 17, 77, 25, 85, 21, 81, 10, 70, 3, 63, 7, 67, 15, 75, 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, 131)(15, 145)(16, 126)(17, 147)(18, 128)(19, 149)(20, 150)(21, 151)(22, 132)(23, 133)(24, 134)(25, 155)(26, 136)(27, 157)(28, 138)(29, 159)(30, 160)(31, 161)(32, 142)(33, 143)(34, 144)(35, 165)(36, 146)(37, 167)(38, 148)(39, 169)(40, 170)(41, 171)(42, 152)(43, 153)(44, 154)(45, 174)(46, 156)(47, 176)(48, 158)(49, 163)(50, 177)(51, 178)(52, 162)(53, 164)(54, 180)(55, 166)(56, 168)(57, 172)(58, 179)(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) :: { ( 24, 30 ), ( 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30, 24, 30 ) }
Outer automorphisms :: reflexible
Dual of E26.1010
Graph:: bipartite
	v = 61 e = 120 f = 9
	degree seq :: [ 2^60, 120 ]

E26.1014 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 15, 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 * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y1^-1), Y2^3 * Y3^-1 * Y2^2, Y1^12, 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 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 24, 84, 34, 94, 44, 104, 42, 102, 32, 92, 22, 82, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 25, 85, 35, 95, 45, 105, 53, 113, 51, 111, 41, 101, 31, 91, 21, 81, 10, 70)(5, 65, 8, 68, 16, 76, 26, 86, 36, 96, 46, 106, 54, 114, 52, 112, 43, 103, 33, 93, 23, 83, 12, 72)(9, 69, 17, 77, 27, 87, 37, 97, 47, 107, 55, 115, 59, 119, 58, 118, 50, 110, 40, 100, 30, 90, 20, 80)(13, 73, 18, 78, 28, 88, 38, 98, 48, 108, 56, 116, 60, 120, 57, 117, 49, 109, 39, 99, 29, 89, 19, 79)(121, 181, 123, 183, 129, 189, 139, 199, 132, 192, 124, 184, 130, 190, 140, 200, 149, 209, 143, 203, 131, 191, 141, 201, 150, 210, 159, 219, 153, 213, 142, 202, 151, 211, 160, 220, 169, 229, 163, 223, 152, 212, 161, 221, 170, 230, 177, 237, 172, 232, 162, 222, 171, 231, 178, 238, 180, 240, 174, 234, 164, 224, 173, 233, 179, 239, 176, 236, 166, 226, 154, 214, 165, 225, 175, 235, 168, 228, 156, 216, 144, 204, 155, 215, 167, 227, 158, 218, 146, 206, 134, 194, 145, 205, 157, 217, 148, 208, 136, 196, 126, 186, 135, 195, 147, 207, 138, 198, 128, 188, 122, 182, 127, 187, 137, 197, 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, 139)(14, 126)(15, 127)(16, 128)(17, 129)(18, 133)(19, 149)(20, 150)(21, 151)(22, 152)(23, 153)(24, 134)(25, 135)(26, 136)(27, 137)(28, 138)(29, 159)(30, 160)(31, 161)(32, 162)(33, 163)(34, 144)(35, 145)(36, 146)(37, 147)(38, 148)(39, 169)(40, 170)(41, 171)(42, 164)(43, 172)(44, 154)(45, 155)(46, 156)(47, 157)(48, 158)(49, 177)(50, 178)(51, 173)(52, 174)(53, 165)(54, 166)(55, 167)(56, 168)(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, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30 ), ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 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 E26.1015
Graph:: bipartite
	v = 6 e = 120 f = 64
	degree seq :: [ 24^5, 120 ]

E26.1015 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 15, 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, (Y3, Y1^-1), Y3^4 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^15, 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 * Y2^-1)^60 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 22, 82, 30, 90, 38, 98, 46, 106, 51, 111, 43, 103, 35, 95, 27, 87, 19, 79, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 23, 83, 31, 91, 39, 99, 47, 107, 54, 114, 57, 117, 50, 110, 42, 102, 34, 94, 26, 86, 18, 78, 10, 70)(5, 65, 8, 68, 16, 76, 24, 84, 32, 92, 40, 100, 48, 108, 55, 115, 58, 118, 52, 112, 44, 104, 36, 96, 28, 88, 20, 80, 12, 72)(9, 69, 17, 77, 25, 85, 33, 93, 41, 101, 49, 109, 56, 116, 60, 120, 59, 119, 53, 113, 45, 105, 37, 97, 29, 89, 21, 81, 13, 73)(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, 128)(10, 133)(11, 138)(12, 124)(13, 125)(14, 143)(15, 145)(16, 126)(17, 136)(18, 141)(19, 146)(20, 131)(21, 132)(22, 151)(23, 153)(24, 134)(25, 144)(26, 149)(27, 154)(28, 139)(29, 140)(30, 159)(31, 161)(32, 142)(33, 152)(34, 157)(35, 162)(36, 147)(37, 148)(38, 167)(39, 169)(40, 150)(41, 160)(42, 165)(43, 170)(44, 155)(45, 156)(46, 174)(47, 176)(48, 158)(49, 168)(50, 173)(51, 177)(52, 163)(53, 164)(54, 180)(55, 166)(56, 175)(57, 179)(58, 171)(59, 172)(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) :: { ( 24, 120 ), ( 24, 120, 24, 120, 24, 120, 24, 120, 24, 120, 24, 120, 24, 120, 24, 120, 24, 120, 24, 120, 24, 120, 24, 120, 24, 120, 24, 120, 24, 120 ) }
Outer automorphisms :: reflexible
Dual of E26.1014
Graph:: simple bipartite
	v = 64 e = 120 f = 6
	degree seq :: [ 2^60, 30^4 ]

E26.1016 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 65, 65})
Quotient :: edge
Aut^+ = C65 (small group id <65, 1>)
Aut   = D130 (small group id <130, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^5, T1^2 * T2^13, T2^5 * T1^-1 * T2 * T1^-1 * T2^7 * T1^-1, (T1^-1 * T2^-1)^65 ]
Map:: non-degenerate
	R = (1, 3, 9, 18, 28, 38, 48, 58, 61, 51, 41, 31, 21, 11, 20, 30, 40, 50, 60, 65, 57, 47, 37, 27, 17, 8, 2, 7, 16, 26, 36, 46, 56, 62, 52, 42, 32, 22, 12, 4, 10, 19, 29, 39, 49, 59, 64, 55, 45, 35, 25, 15, 6, 14, 24, 34, 44, 54, 63, 53, 43, 33, 23, 13, 5)(66, 67, 71, 76, 69)(68, 72, 79, 85, 75)(70, 73, 80, 86, 77)(74, 81, 89, 95, 84)(78, 82, 90, 96, 87)(83, 91, 99, 105, 94)(88, 92, 100, 106, 97)(93, 101, 109, 115, 104)(98, 102, 110, 116, 107)(103, 111, 119, 125, 114)(108, 112, 120, 126, 117)(113, 121, 128, 130, 124)(118, 122, 129, 123, 127)
	L = (1, 66)(2, 67)(3, 68)(4, 69)(5, 70)(6, 71)(7, 72)(8, 73)(9, 74)(10, 75)(11, 76)(12, 77)(13, 78)(14, 79)(15, 80)(16, 81)(17, 82)(18, 83)(19, 84)(20, 85)(21, 86)(22, 87)(23, 88)(24, 89)(25, 90)(26, 91)(27, 92)(28, 93)(29, 94)(30, 95)(31, 96)(32, 97)(33, 98)(34, 99)(35, 100)(36, 101)(37, 102)(38, 103)(39, 104)(40, 105)(41, 106)(42, 107)(43, 108)(44, 109)(45, 110)(46, 111)(47, 112)(48, 113)(49, 114)(50, 115)(51, 116)(52, 117)(53, 118)(54, 119)(55, 120)(56, 121)(57, 122)(58, 123)(59, 124)(60, 125)(61, 126)(62, 127)(63, 128)(64, 129)(65, 130)
	local type(s) :: { ( 130^5 ), ( 130^65 ) }
Outer automorphisms :: reflexible
Dual of E26.1022
Transitivity :: ET+
Graph:: bipartite
	v = 14 e = 65 f = 1
	degree seq :: [ 5^13, 65 ]

E26.1017 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 65, 65})
Quotient :: edge
Aut^+ = C65 (small group id <65, 1>)
Aut   = D130 (small group id <130, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^5, T1^-1 * T2^13, (T1^-1 * T2^-1)^65 ]
Map:: non-degenerate
	R = (1, 3, 9, 18, 28, 38, 48, 57, 47, 37, 27, 17, 8, 2, 7, 16, 26, 36, 46, 56, 63, 55, 45, 35, 25, 15, 6, 14, 24, 34, 44, 54, 62, 65, 60, 51, 41, 31, 21, 11, 20, 30, 40, 50, 59, 64, 61, 52, 42, 32, 22, 12, 4, 10, 19, 29, 39, 49, 58, 53, 43, 33, 23, 13, 5)(66, 67, 71, 76, 69)(68, 72, 79, 85, 75)(70, 73, 80, 86, 77)(74, 81, 89, 95, 84)(78, 82, 90, 96, 87)(83, 91, 99, 105, 94)(88, 92, 100, 106, 97)(93, 101, 109, 115, 104)(98, 102, 110, 116, 107)(103, 111, 119, 124, 114)(108, 112, 120, 125, 117)(113, 121, 127, 129, 123)(118, 122, 128, 130, 126)
	L = (1, 66)(2, 67)(3, 68)(4, 69)(5, 70)(6, 71)(7, 72)(8, 73)(9, 74)(10, 75)(11, 76)(12, 77)(13, 78)(14, 79)(15, 80)(16, 81)(17, 82)(18, 83)(19, 84)(20, 85)(21, 86)(22, 87)(23, 88)(24, 89)(25, 90)(26, 91)(27, 92)(28, 93)(29, 94)(30, 95)(31, 96)(32, 97)(33, 98)(34, 99)(35, 100)(36, 101)(37, 102)(38, 103)(39, 104)(40, 105)(41, 106)(42, 107)(43, 108)(44, 109)(45, 110)(46, 111)(47, 112)(48, 113)(49, 114)(50, 115)(51, 116)(52, 117)(53, 118)(54, 119)(55, 120)(56, 121)(57, 122)(58, 123)(59, 124)(60, 125)(61, 126)(62, 127)(63, 128)(64, 129)(65, 130)
	local type(s) :: { ( 130^5 ), ( 130^65 ) }
Outer automorphisms :: reflexible
Dual of E26.1021
Transitivity :: ET+
Graph:: bipartite
	v = 14 e = 65 f = 1
	degree seq :: [ 5^13, 65 ]

E26.1018 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 65, 65})
Quotient :: edge
Aut^+ = C65 (small group id <65, 1>)
Aut   = D130 (small group id <130, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^5, T1^-1 * T2^-13, (T1^-1 * T2^-1)^65 ]
Map:: non-degenerate
	R = (1, 3, 9, 18, 28, 38, 48, 58, 52, 42, 32, 22, 12, 4, 10, 19, 29, 39, 49, 59, 64, 61, 51, 41, 31, 21, 11, 20, 30, 40, 50, 60, 65, 63, 55, 45, 35, 25, 15, 6, 14, 24, 34, 44, 54, 62, 57, 47, 37, 27, 17, 8, 2, 7, 16, 26, 36, 46, 56, 53, 43, 33, 23, 13, 5)(66, 67, 71, 76, 69)(68, 72, 79, 85, 75)(70, 73, 80, 86, 77)(74, 81, 89, 95, 84)(78, 82, 90, 96, 87)(83, 91, 99, 105, 94)(88, 92, 100, 106, 97)(93, 101, 109, 115, 104)(98, 102, 110, 116, 107)(103, 111, 119, 125, 114)(108, 112, 120, 126, 117)(113, 121, 127, 130, 124)(118, 122, 128, 129, 123)
	L = (1, 66)(2, 67)(3, 68)(4, 69)(5, 70)(6, 71)(7, 72)(8, 73)(9, 74)(10, 75)(11, 76)(12, 77)(13, 78)(14, 79)(15, 80)(16, 81)(17, 82)(18, 83)(19, 84)(20, 85)(21, 86)(22, 87)(23, 88)(24, 89)(25, 90)(26, 91)(27, 92)(28, 93)(29, 94)(30, 95)(31, 96)(32, 97)(33, 98)(34, 99)(35, 100)(36, 101)(37, 102)(38, 103)(39, 104)(40, 105)(41, 106)(42, 107)(43, 108)(44, 109)(45, 110)(46, 111)(47, 112)(48, 113)(49, 114)(50, 115)(51, 116)(52, 117)(53, 118)(54, 119)(55, 120)(56, 121)(57, 122)(58, 123)(59, 124)(60, 125)(61, 126)(62, 127)(63, 128)(64, 129)(65, 130)
	local type(s) :: { ( 130^5 ), ( 130^65 ) }
Outer automorphisms :: reflexible
Dual of E26.1020
Transitivity :: ET+
Graph:: bipartite
	v = 14 e = 65 f = 1
	degree seq :: [ 5^13, 65 ]

E26.1019 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 65, 65})
Quotient :: edge
Aut^+ = C65 (small group id <65, 1>)
Aut   = D130 (small group id <130, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-5 * T2^-5, T1^7 * T2^-6, T1^2 * T2^54, T2^65, T2^-162 * T1^-6 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 51, 61, 60, 48, 30, 16, 6, 15, 29, 47, 38, 22, 36, 54, 64, 58, 44, 26, 43, 40, 24, 12, 4, 10, 20, 34, 52, 62, 56, 50, 32, 18, 8, 2, 7, 17, 31, 49, 37, 55, 65, 59, 46, 28, 14, 27, 45, 39, 23, 11, 21, 35, 53, 63, 57, 42, 41, 25, 13, 5)(66, 67, 71, 79, 91, 107, 121, 126, 120, 101, 86, 75, 68, 72, 80, 92, 108, 106, 115, 125, 130, 119, 100, 85, 74, 82, 94, 110, 105, 90, 97, 113, 124, 129, 118, 99, 84, 96, 112, 104, 89, 78, 83, 95, 111, 123, 128, 117, 98, 114, 103, 88, 77, 70, 73, 81, 93, 109, 122, 127, 116, 102, 87, 76, 69)
	L = (1, 66)(2, 67)(3, 68)(4, 69)(5, 70)(6, 71)(7, 72)(8, 73)(9, 74)(10, 75)(11, 76)(12, 77)(13, 78)(14, 79)(15, 80)(16, 81)(17, 82)(18, 83)(19, 84)(20, 85)(21, 86)(22, 87)(23, 88)(24, 89)(25, 90)(26, 91)(27, 92)(28, 93)(29, 94)(30, 95)(31, 96)(32, 97)(33, 98)(34, 99)(35, 100)(36, 101)(37, 102)(38, 103)(39, 104)(40, 105)(41, 106)(42, 107)(43, 108)(44, 109)(45, 110)(46, 111)(47, 112)(48, 113)(49, 114)(50, 115)(51, 116)(52, 117)(53, 118)(54, 119)(55, 120)(56, 121)(57, 122)(58, 123)(59, 124)(60, 125)(61, 126)(62, 127)(63, 128)(64, 129)(65, 130)
	local type(s) :: { ( 10^65 ) }
Outer automorphisms :: reflexible
Dual of E26.1023
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 65 f = 13
	degree seq :: [ 65^2 ]

E26.1020 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 65, 65})
Quotient :: loop
Aut^+ = C65 (small group id <65, 1>)
Aut   = D130 (small group id <130, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^5, T1^2 * T2^13, T2^5 * T1^-1 * T2 * T1^-1 * T2^7 * T1^-1, (T1^-1 * T2^-1)^65 ]
Map:: non-degenerate
	R = (1, 66, 3, 68, 9, 74, 18, 83, 28, 93, 38, 103, 48, 113, 58, 123, 61, 126, 51, 116, 41, 106, 31, 96, 21, 86, 11, 76, 20, 85, 30, 95, 40, 105, 50, 115, 60, 125, 65, 130, 57, 122, 47, 112, 37, 102, 27, 92, 17, 82, 8, 73, 2, 67, 7, 72, 16, 81, 26, 91, 36, 101, 46, 111, 56, 121, 62, 127, 52, 117, 42, 107, 32, 97, 22, 87, 12, 77, 4, 69, 10, 75, 19, 84, 29, 94, 39, 104, 49, 114, 59, 124, 64, 129, 55, 120, 45, 110, 35, 100, 25, 90, 15, 80, 6, 71, 14, 79, 24, 89, 34, 99, 44, 109, 54, 119, 63, 128, 53, 118, 43, 108, 33, 98, 23, 88, 13, 78, 5, 70)
	L = (1, 67)(2, 71)(3, 72)(4, 66)(5, 73)(6, 76)(7, 79)(8, 80)(9, 81)(10, 68)(11, 69)(12, 70)(13, 82)(14, 85)(15, 86)(16, 89)(17, 90)(18, 91)(19, 74)(20, 75)(21, 77)(22, 78)(23, 92)(24, 95)(25, 96)(26, 99)(27, 100)(28, 101)(29, 83)(30, 84)(31, 87)(32, 88)(33, 102)(34, 105)(35, 106)(36, 109)(37, 110)(38, 111)(39, 93)(40, 94)(41, 97)(42, 98)(43, 112)(44, 115)(45, 116)(46, 119)(47, 120)(48, 121)(49, 103)(50, 104)(51, 107)(52, 108)(53, 122)(54, 125)(55, 126)(56, 128)(57, 129)(58, 127)(59, 113)(60, 114)(61, 117)(62, 118)(63, 130)(64, 123)(65, 124)
	local type(s) :: { ( 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65 ) }
Outer automorphisms :: reflexible
Dual of E26.1018
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 65 f = 14
	degree seq :: [ 130 ]

E26.1021 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 65, 65})
Quotient :: loop
Aut^+ = C65 (small group id <65, 1>)
Aut   = D130 (small group id <130, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^5, T1^-1 * T2^13, (T1^-1 * T2^-1)^65 ]
Map:: non-degenerate
	R = (1, 66, 3, 68, 9, 74, 18, 83, 28, 93, 38, 103, 48, 113, 57, 122, 47, 112, 37, 102, 27, 92, 17, 82, 8, 73, 2, 67, 7, 72, 16, 81, 26, 91, 36, 101, 46, 111, 56, 121, 63, 128, 55, 120, 45, 110, 35, 100, 25, 90, 15, 80, 6, 71, 14, 79, 24, 89, 34, 99, 44, 109, 54, 119, 62, 127, 65, 130, 60, 125, 51, 116, 41, 106, 31, 96, 21, 86, 11, 76, 20, 85, 30, 95, 40, 105, 50, 115, 59, 124, 64, 129, 61, 126, 52, 117, 42, 107, 32, 97, 22, 87, 12, 77, 4, 69, 10, 75, 19, 84, 29, 94, 39, 104, 49, 114, 58, 123, 53, 118, 43, 108, 33, 98, 23, 88, 13, 78, 5, 70)
	L = (1, 67)(2, 71)(3, 72)(4, 66)(5, 73)(6, 76)(7, 79)(8, 80)(9, 81)(10, 68)(11, 69)(12, 70)(13, 82)(14, 85)(15, 86)(16, 89)(17, 90)(18, 91)(19, 74)(20, 75)(21, 77)(22, 78)(23, 92)(24, 95)(25, 96)(26, 99)(27, 100)(28, 101)(29, 83)(30, 84)(31, 87)(32, 88)(33, 102)(34, 105)(35, 106)(36, 109)(37, 110)(38, 111)(39, 93)(40, 94)(41, 97)(42, 98)(43, 112)(44, 115)(45, 116)(46, 119)(47, 120)(48, 121)(49, 103)(50, 104)(51, 107)(52, 108)(53, 122)(54, 124)(55, 125)(56, 127)(57, 128)(58, 113)(59, 114)(60, 117)(61, 118)(62, 129)(63, 130)(64, 123)(65, 126)
	local type(s) :: { ( 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65 ) }
Outer automorphisms :: reflexible
Dual of E26.1017
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 65 f = 14
	degree seq :: [ 130 ]

E26.1022 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 65, 65})
Quotient :: loop
Aut^+ = C65 (small group id <65, 1>)
Aut   = D130 (small group id <130, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^5, T1^-1 * T2^-13, (T1^-1 * T2^-1)^65 ]
Map:: non-degenerate
	R = (1, 66, 3, 68, 9, 74, 18, 83, 28, 93, 38, 103, 48, 113, 58, 123, 52, 117, 42, 107, 32, 97, 22, 87, 12, 77, 4, 69, 10, 75, 19, 84, 29, 94, 39, 104, 49, 114, 59, 124, 64, 129, 61, 126, 51, 116, 41, 106, 31, 96, 21, 86, 11, 76, 20, 85, 30, 95, 40, 105, 50, 115, 60, 125, 65, 130, 63, 128, 55, 120, 45, 110, 35, 100, 25, 90, 15, 80, 6, 71, 14, 79, 24, 89, 34, 99, 44, 109, 54, 119, 62, 127, 57, 122, 47, 112, 37, 102, 27, 92, 17, 82, 8, 73, 2, 67, 7, 72, 16, 81, 26, 91, 36, 101, 46, 111, 56, 121, 53, 118, 43, 108, 33, 98, 23, 88, 13, 78, 5, 70)
	L = (1, 67)(2, 71)(3, 72)(4, 66)(5, 73)(6, 76)(7, 79)(8, 80)(9, 81)(10, 68)(11, 69)(12, 70)(13, 82)(14, 85)(15, 86)(16, 89)(17, 90)(18, 91)(19, 74)(20, 75)(21, 77)(22, 78)(23, 92)(24, 95)(25, 96)(26, 99)(27, 100)(28, 101)(29, 83)(30, 84)(31, 87)(32, 88)(33, 102)(34, 105)(35, 106)(36, 109)(37, 110)(38, 111)(39, 93)(40, 94)(41, 97)(42, 98)(43, 112)(44, 115)(45, 116)(46, 119)(47, 120)(48, 121)(49, 103)(50, 104)(51, 107)(52, 108)(53, 122)(54, 125)(55, 126)(56, 127)(57, 128)(58, 118)(59, 113)(60, 114)(61, 117)(62, 130)(63, 129)(64, 123)(65, 124)
	local type(s) :: { ( 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65, 5, 65 ) }
Outer automorphisms :: reflexible
Dual of E26.1016
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 65 f = 14
	degree seq :: [ 130 ]

E26.1023 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 65, 65})
Quotient :: loop
Aut^+ = C65 (small group id <65, 1>)
Aut   = D130 (small group id <130, 3>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T1)^2, (F * T2)^2, T2^5, T2^5, T1^13 * T2^2, T1^-1 * T2 * T1^-5 * T2 * T1^-7 * T2, 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 ]
Map:: non-degenerate
	R = (1, 66, 3, 68, 9, 74, 13, 78, 5, 70)(2, 67, 7, 72, 17, 82, 18, 83, 8, 73)(4, 69, 10, 75, 19, 84, 23, 88, 12, 77)(6, 71, 15, 80, 27, 92, 28, 93, 16, 81)(11, 76, 20, 85, 29, 94, 33, 98, 22, 87)(14, 79, 25, 90, 37, 102, 38, 103, 26, 91)(21, 86, 30, 95, 39, 104, 43, 108, 32, 97)(24, 89, 35, 100, 47, 112, 48, 113, 36, 101)(31, 96, 40, 105, 49, 114, 53, 118, 42, 107)(34, 99, 45, 110, 57, 122, 58, 123, 46, 111)(41, 106, 50, 115, 59, 124, 63, 128, 52, 117)(44, 109, 55, 120, 61, 126, 65, 130, 56, 121)(51, 116, 60, 125, 64, 129, 54, 119, 62, 127)
	L = (1, 67)(2, 71)(3, 72)(4, 66)(5, 73)(6, 79)(7, 80)(8, 81)(9, 82)(10, 68)(11, 69)(12, 70)(13, 83)(14, 89)(15, 90)(16, 91)(17, 92)(18, 93)(19, 74)(20, 75)(21, 76)(22, 77)(23, 78)(24, 99)(25, 100)(26, 101)(27, 102)(28, 103)(29, 84)(30, 85)(31, 86)(32, 87)(33, 88)(34, 109)(35, 110)(36, 111)(37, 112)(38, 113)(39, 94)(40, 95)(41, 96)(42, 97)(43, 98)(44, 119)(45, 120)(46, 121)(47, 122)(48, 123)(49, 104)(50, 105)(51, 106)(52, 107)(53, 108)(54, 128)(55, 127)(56, 129)(57, 126)(58, 130)(59, 114)(60, 115)(61, 116)(62, 117)(63, 118)(64, 124)(65, 125)
	local type(s) :: { ( 65^10 ) }
Outer automorphisms :: reflexible
Dual of E26.1019
Transitivity :: ET+ VT+ AT
Graph::
	v = 13 e = 65 f = 2
	degree seq :: [ 10^13 ]

E26.1024 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 65, 65})
Quotient :: dipole
Aut^+ = C65 (small group id <65, 1>)
Aut   = D130 (small group id <130, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y1)^2, (R * Y2)^2, (Y2, Y1^-1), (R * Y3)^2, (Y3^-1, Y2^-1), Y1^5, Y1^5, Y3^-1 * Y2 * Y3^-1 * Y2 * Y1^-2 * Y2^-2, Y3^10, Y2^4 * Y3^2 * Y2^-1 * Y3 * Y2^-3 * Y1^-2, Y2^13 * 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 ]
Map::
	R = (1, 66, 2, 67, 6, 71, 11, 76, 4, 69)(3, 68, 7, 72, 14, 79, 20, 85, 10, 75)(5, 70, 8, 73, 15, 80, 21, 86, 12, 77)(9, 74, 16, 81, 24, 89, 30, 95, 19, 84)(13, 78, 17, 82, 25, 90, 31, 96, 22, 87)(18, 83, 26, 91, 34, 99, 40, 105, 29, 94)(23, 88, 27, 92, 35, 100, 41, 106, 32, 97)(28, 93, 36, 101, 44, 109, 50, 115, 39, 104)(33, 98, 37, 102, 45, 110, 51, 116, 42, 107)(38, 103, 46, 111, 54, 119, 60, 125, 49, 114)(43, 108, 47, 112, 55, 120, 61, 126, 52, 117)(48, 113, 56, 121, 63, 128, 65, 130, 59, 124)(53, 118, 57, 122, 64, 129, 58, 123, 62, 127)(131, 196, 133, 198, 139, 204, 148, 213, 158, 223, 168, 233, 178, 243, 188, 253, 191, 256, 181, 246, 171, 236, 161, 226, 151, 216, 141, 206, 150, 215, 160, 225, 170, 235, 180, 245, 190, 255, 195, 260, 187, 252, 177, 242, 167, 232, 157, 222, 147, 212, 138, 203, 132, 197, 137, 202, 146, 211, 156, 221, 166, 231, 176, 241, 186, 251, 192, 257, 182, 247, 172, 237, 162, 227, 152, 217, 142, 207, 134, 199, 140, 205, 149, 214, 159, 224, 169, 234, 179, 244, 189, 254, 194, 259, 185, 250, 175, 240, 165, 230, 155, 220, 145, 210, 136, 201, 144, 209, 154, 219, 164, 229, 174, 239, 184, 249, 193, 258, 183, 248, 173, 238, 163, 228, 153, 218, 143, 208, 135, 200)
	L = (1, 134)(2, 131)(3, 140)(4, 141)(5, 142)(6, 132)(7, 133)(8, 135)(9, 149)(10, 150)(11, 136)(12, 151)(13, 152)(14, 137)(15, 138)(16, 139)(17, 143)(18, 159)(19, 160)(20, 144)(21, 145)(22, 161)(23, 162)(24, 146)(25, 147)(26, 148)(27, 153)(28, 169)(29, 170)(30, 154)(31, 155)(32, 171)(33, 172)(34, 156)(35, 157)(36, 158)(37, 163)(38, 179)(39, 180)(40, 164)(41, 165)(42, 181)(43, 182)(44, 166)(45, 167)(46, 168)(47, 173)(48, 189)(49, 190)(50, 174)(51, 175)(52, 191)(53, 192)(54, 176)(55, 177)(56, 178)(57, 183)(58, 194)(59, 195)(60, 184)(61, 185)(62, 188)(63, 186)(64, 187)(65, 193)(66, 196)(67, 197)(68, 198)(69, 199)(70, 200)(71, 201)(72, 202)(73, 203)(74, 204)(75, 205)(76, 206)(77, 207)(78, 208)(79, 209)(80, 210)(81, 211)(82, 212)(83, 213)(84, 214)(85, 215)(86, 216)(87, 217)(88, 218)(89, 219)(90, 220)(91, 221)(92, 222)(93, 223)(94, 224)(95, 225)(96, 226)(97, 227)(98, 228)(99, 229)(100, 230)(101, 231)(102, 232)(103, 233)(104, 234)(105, 235)(106, 236)(107, 237)(108, 238)(109, 239)(110, 240)(111, 241)(112, 242)(113, 243)(114, 244)(115, 245)(116, 246)(117, 247)(118, 248)(119, 249)(120, 250)(121, 251)(122, 252)(123, 253)(124, 254)(125, 255)(126, 256)(127, 257)(128, 258)(129, 259)(130, 260)
	local type(s) :: { ( 2, 130, 2, 130, 2, 130, 2, 130, 2, 130 ), ( 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130 ) }
Outer automorphisms :: reflexible
Dual of E26.1031
Graph:: bipartite
	v = 14 e = 130 f = 66
	degree seq :: [ 10^13, 130 ]

E26.1025 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 65, 65})
Quotient :: dipole
Aut^+ = C65 (small group id <65, 1>)
Aut   = D130 (small group id <130, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2, Y1^-1), (Y3^-1, Y2^-1), Y1^5, Y2^13 * 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 ]
Map::
	R = (1, 66, 2, 67, 6, 71, 11, 76, 4, 69)(3, 68, 7, 72, 14, 79, 20, 85, 10, 75)(5, 70, 8, 73, 15, 80, 21, 86, 12, 77)(9, 74, 16, 81, 24, 89, 30, 95, 19, 84)(13, 78, 17, 82, 25, 90, 31, 96, 22, 87)(18, 83, 26, 91, 34, 99, 40, 105, 29, 94)(23, 88, 27, 92, 35, 100, 41, 106, 32, 97)(28, 93, 36, 101, 44, 109, 50, 115, 39, 104)(33, 98, 37, 102, 45, 110, 51, 116, 42, 107)(38, 103, 46, 111, 54, 119, 59, 124, 49, 114)(43, 108, 47, 112, 55, 120, 60, 125, 52, 117)(48, 113, 56, 121, 62, 127, 64, 129, 58, 123)(53, 118, 57, 122, 63, 128, 65, 130, 61, 126)(131, 196, 133, 198, 139, 204, 148, 213, 158, 223, 168, 233, 178, 243, 187, 252, 177, 242, 167, 232, 157, 222, 147, 212, 138, 203, 132, 197, 137, 202, 146, 211, 156, 221, 166, 231, 176, 241, 186, 251, 193, 258, 185, 250, 175, 240, 165, 230, 155, 220, 145, 210, 136, 201, 144, 209, 154, 219, 164, 229, 174, 239, 184, 249, 192, 257, 195, 260, 190, 255, 181, 246, 171, 236, 161, 226, 151, 216, 141, 206, 150, 215, 160, 225, 170, 235, 180, 245, 189, 254, 194, 259, 191, 256, 182, 247, 172, 237, 162, 227, 152, 217, 142, 207, 134, 199, 140, 205, 149, 214, 159, 224, 169, 234, 179, 244, 188, 253, 183, 248, 173, 238, 163, 228, 153, 218, 143, 208, 135, 200)
	L = (1, 134)(2, 131)(3, 140)(4, 141)(5, 142)(6, 132)(7, 133)(8, 135)(9, 149)(10, 150)(11, 136)(12, 151)(13, 152)(14, 137)(15, 138)(16, 139)(17, 143)(18, 159)(19, 160)(20, 144)(21, 145)(22, 161)(23, 162)(24, 146)(25, 147)(26, 148)(27, 153)(28, 169)(29, 170)(30, 154)(31, 155)(32, 171)(33, 172)(34, 156)(35, 157)(36, 158)(37, 163)(38, 179)(39, 180)(40, 164)(41, 165)(42, 181)(43, 182)(44, 166)(45, 167)(46, 168)(47, 173)(48, 188)(49, 189)(50, 174)(51, 175)(52, 190)(53, 191)(54, 176)(55, 177)(56, 178)(57, 183)(58, 194)(59, 184)(60, 185)(61, 195)(62, 186)(63, 187)(64, 192)(65, 193)(66, 196)(67, 197)(68, 198)(69, 199)(70, 200)(71, 201)(72, 202)(73, 203)(74, 204)(75, 205)(76, 206)(77, 207)(78, 208)(79, 209)(80, 210)(81, 211)(82, 212)(83, 213)(84, 214)(85, 215)(86, 216)(87, 217)(88, 218)(89, 219)(90, 220)(91, 221)(92, 222)(93, 223)(94, 224)(95, 225)(96, 226)(97, 227)(98, 228)(99, 229)(100, 230)(101, 231)(102, 232)(103, 233)(104, 234)(105, 235)(106, 236)(107, 237)(108, 238)(109, 239)(110, 240)(111, 241)(112, 242)(113, 243)(114, 244)(115, 245)(116, 246)(117, 247)(118, 248)(119, 249)(120, 250)(121, 251)(122, 252)(123, 253)(124, 254)(125, 255)(126, 256)(127, 257)(128, 258)(129, 259)(130, 260)
	local type(s) :: { ( 2, 130, 2, 130, 2, 130, 2, 130, 2, 130 ), ( 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130 ) }
Outer automorphisms :: reflexible
Dual of E26.1030
Graph:: bipartite
	v = 14 e = 130 f = 66
	degree seq :: [ 10^13, 130 ]

E26.1026 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 65, 65})
Quotient :: dipole
Aut^+ = C65 (small group id <65, 1>)
Aut   = D130 (small group id <130, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y1)^2, (Y2, Y1^-1), (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), Y1^5, Y3 * Y2^-4 * Y3^-1 * Y1 * Y2^4 * Y3, Y2^-13 * 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 ]
Map::
	R = (1, 66, 2, 67, 6, 71, 11, 76, 4, 69)(3, 68, 7, 72, 14, 79, 20, 85, 10, 75)(5, 70, 8, 73, 15, 80, 21, 86, 12, 77)(9, 74, 16, 81, 24, 89, 30, 95, 19, 84)(13, 78, 17, 82, 25, 90, 31, 96, 22, 87)(18, 83, 26, 91, 34, 99, 40, 105, 29, 94)(23, 88, 27, 92, 35, 100, 41, 106, 32, 97)(28, 93, 36, 101, 44, 109, 50, 115, 39, 104)(33, 98, 37, 102, 45, 110, 51, 116, 42, 107)(38, 103, 46, 111, 54, 119, 60, 125, 49, 114)(43, 108, 47, 112, 55, 120, 61, 126, 52, 117)(48, 113, 56, 121, 62, 127, 65, 130, 59, 124)(53, 118, 57, 122, 63, 128, 64, 129, 58, 123)(131, 196, 133, 198, 139, 204, 148, 213, 158, 223, 168, 233, 178, 243, 188, 253, 182, 247, 172, 237, 162, 227, 152, 217, 142, 207, 134, 199, 140, 205, 149, 214, 159, 224, 169, 234, 179, 244, 189, 254, 194, 259, 191, 256, 181, 246, 171, 236, 161, 226, 151, 216, 141, 206, 150, 215, 160, 225, 170, 235, 180, 245, 190, 255, 195, 260, 193, 258, 185, 250, 175, 240, 165, 230, 155, 220, 145, 210, 136, 201, 144, 209, 154, 219, 164, 229, 174, 239, 184, 249, 192, 257, 187, 252, 177, 242, 167, 232, 157, 222, 147, 212, 138, 203, 132, 197, 137, 202, 146, 211, 156, 221, 166, 231, 176, 241, 186, 251, 183, 248, 173, 238, 163, 228, 153, 218, 143, 208, 135, 200)
	L = (1, 134)(2, 131)(3, 140)(4, 141)(5, 142)(6, 132)(7, 133)(8, 135)(9, 149)(10, 150)(11, 136)(12, 151)(13, 152)(14, 137)(15, 138)(16, 139)(17, 143)(18, 159)(19, 160)(20, 144)(21, 145)(22, 161)(23, 162)(24, 146)(25, 147)(26, 148)(27, 153)(28, 169)(29, 170)(30, 154)(31, 155)(32, 171)(33, 172)(34, 156)(35, 157)(36, 158)(37, 163)(38, 179)(39, 180)(40, 164)(41, 165)(42, 181)(43, 182)(44, 166)(45, 167)(46, 168)(47, 173)(48, 189)(49, 190)(50, 174)(51, 175)(52, 191)(53, 188)(54, 176)(55, 177)(56, 178)(57, 183)(58, 194)(59, 195)(60, 184)(61, 185)(62, 186)(63, 187)(64, 193)(65, 192)(66, 196)(67, 197)(68, 198)(69, 199)(70, 200)(71, 201)(72, 202)(73, 203)(74, 204)(75, 205)(76, 206)(77, 207)(78, 208)(79, 209)(80, 210)(81, 211)(82, 212)(83, 213)(84, 214)(85, 215)(86, 216)(87, 217)(88, 218)(89, 219)(90, 220)(91, 221)(92, 222)(93, 223)(94, 224)(95, 225)(96, 226)(97, 227)(98, 228)(99, 229)(100, 230)(101, 231)(102, 232)(103, 233)(104, 234)(105, 235)(106, 236)(107, 237)(108, 238)(109, 239)(110, 240)(111, 241)(112, 242)(113, 243)(114, 244)(115, 245)(116, 246)(117, 247)(118, 248)(119, 249)(120, 250)(121, 251)(122, 252)(123, 253)(124, 254)(125, 255)(126, 256)(127, 257)(128, 258)(129, 259)(130, 260)
	local type(s) :: { ( 2, 130, 2, 130, 2, 130, 2, 130, 2, 130 ), ( 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130 ) }
Outer automorphisms :: reflexible
Dual of E26.1029
Graph:: bipartite
	v = 14 e = 130 f = 66
	degree seq :: [ 10^13, 130 ]

E26.1027 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 65, 65})
Quotient :: dipole
Aut^+ = C65 (small group id <65, 1>)
Aut   = D130 (small group id <130, 3>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), Y2^5 * Y1^5, (Y3^-1 * Y1^-1)^5, Y2^-7 * Y1^6, Y1^22 * Y2^-4, Y1^-65, Y1^65 ]
Map::
	R = (1, 66, 2, 67, 6, 71, 14, 79, 26, 91, 42, 107, 56, 121, 65, 130, 54, 119, 35, 100, 20, 85, 9, 74, 17, 82, 29, 94, 45, 110, 40, 105, 25, 90, 32, 97, 48, 113, 59, 124, 63, 128, 52, 117, 33, 98, 49, 114, 38, 103, 23, 88, 12, 77, 5, 70, 8, 73, 16, 81, 28, 93, 44, 109, 57, 122, 61, 126, 55, 120, 36, 101, 21, 86, 10, 75, 3, 68, 7, 72, 15, 80, 27, 92, 43, 108, 41, 106, 50, 115, 60, 125, 64, 129, 53, 118, 34, 99, 19, 84, 31, 96, 47, 112, 39, 104, 24, 89, 13, 78, 18, 83, 30, 95, 46, 111, 58, 123, 62, 127, 51, 116, 37, 102, 22, 87, 11, 76, 4, 69)(131, 196, 133, 198, 139, 204, 149, 214, 163, 228, 181, 246, 191, 256, 186, 251, 180, 245, 162, 227, 148, 213, 138, 203, 132, 197, 137, 202, 147, 212, 161, 226, 179, 244, 167, 232, 185, 250, 195, 260, 190, 255, 178, 243, 160, 225, 146, 211, 136, 201, 145, 210, 159, 224, 177, 242, 168, 233, 152, 217, 166, 231, 184, 249, 194, 259, 189, 254, 176, 241, 158, 223, 144, 209, 157, 222, 175, 240, 169, 234, 153, 218, 141, 206, 151, 216, 165, 230, 183, 248, 193, 258, 188, 253, 174, 239, 156, 221, 173, 238, 170, 235, 154, 219, 142, 207, 134, 199, 140, 205, 150, 215, 164, 229, 182, 247, 192, 257, 187, 252, 172, 237, 171, 236, 155, 220, 143, 208, 135, 200)
	L = (1, 133)(2, 137)(3, 139)(4, 140)(5, 131)(6, 145)(7, 147)(8, 132)(9, 149)(10, 150)(11, 151)(12, 134)(13, 135)(14, 157)(15, 159)(16, 136)(17, 161)(18, 138)(19, 163)(20, 164)(21, 165)(22, 166)(23, 141)(24, 142)(25, 143)(26, 173)(27, 175)(28, 144)(29, 177)(30, 146)(31, 179)(32, 148)(33, 181)(34, 182)(35, 183)(36, 184)(37, 185)(38, 152)(39, 153)(40, 154)(41, 155)(42, 171)(43, 170)(44, 156)(45, 169)(46, 158)(47, 168)(48, 160)(49, 167)(50, 162)(51, 191)(52, 192)(53, 193)(54, 194)(55, 195)(56, 180)(57, 172)(58, 174)(59, 176)(60, 178)(61, 186)(62, 187)(63, 188)(64, 189)(65, 190)(66, 196)(67, 197)(68, 198)(69, 199)(70, 200)(71, 201)(72, 202)(73, 203)(74, 204)(75, 205)(76, 206)(77, 207)(78, 208)(79, 209)(80, 210)(81, 211)(82, 212)(83, 213)(84, 214)(85, 215)(86, 216)(87, 217)(88, 218)(89, 219)(90, 220)(91, 221)(92, 222)(93, 223)(94, 224)(95, 225)(96, 226)(97, 227)(98, 228)(99, 229)(100, 230)(101, 231)(102, 232)(103, 233)(104, 234)(105, 235)(106, 236)(107, 237)(108, 238)(109, 239)(110, 240)(111, 241)(112, 242)(113, 243)(114, 244)(115, 245)(116, 246)(117, 247)(118, 248)(119, 249)(120, 250)(121, 251)(122, 252)(123, 253)(124, 254)(125, 255)(126, 256)(127, 257)(128, 258)(129, 259)(130, 260)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1028
Graph:: bipartite
	v = 2 e = 130 f = 78
	degree seq :: [ 130^2 ]

E26.1028 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 65, 65})
Quotient :: dipole
Aut^+ = C65 (small group id <65, 1>)
Aut   = D130 (small group id <130, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^5, Y2^5, Y2^2 * Y3^-13, 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^-1 * Y1^-1)^65 ]
Map::
	R = (1, 66)(2, 67)(3, 68)(4, 69)(5, 70)(6, 71)(7, 72)(8, 73)(9, 74)(10, 75)(11, 76)(12, 77)(13, 78)(14, 79)(15, 80)(16, 81)(17, 82)(18, 83)(19, 84)(20, 85)(21, 86)(22, 87)(23, 88)(24, 89)(25, 90)(26, 91)(27, 92)(28, 93)(29, 94)(30, 95)(31, 96)(32, 97)(33, 98)(34, 99)(35, 100)(36, 101)(37, 102)(38, 103)(39, 104)(40, 105)(41, 106)(42, 107)(43, 108)(44, 109)(45, 110)(46, 111)(47, 112)(48, 113)(49, 114)(50, 115)(51, 116)(52, 117)(53, 118)(54, 119)(55, 120)(56, 121)(57, 122)(58, 123)(59, 124)(60, 125)(61, 126)(62, 127)(63, 128)(64, 129)(65, 130)(131, 196, 132, 197, 136, 201, 141, 206, 134, 199)(133, 198, 137, 202, 144, 209, 150, 215, 140, 205)(135, 200, 138, 203, 145, 210, 151, 216, 142, 207)(139, 204, 146, 211, 154, 219, 160, 225, 149, 214)(143, 208, 147, 212, 155, 220, 161, 226, 152, 217)(148, 213, 156, 221, 164, 229, 170, 235, 159, 224)(153, 218, 157, 222, 165, 230, 171, 236, 162, 227)(158, 223, 166, 231, 174, 239, 180, 245, 169, 234)(163, 228, 167, 232, 175, 240, 181, 246, 172, 237)(168, 233, 176, 241, 184, 249, 190, 255, 179, 244)(173, 238, 177, 242, 185, 250, 191, 256, 182, 247)(178, 243, 186, 251, 194, 259, 193, 258, 189, 254)(183, 248, 187, 252, 188, 253, 195, 260, 192, 257)
	L = (1, 133)(2, 137)(3, 139)(4, 140)(5, 131)(6, 144)(7, 146)(8, 132)(9, 148)(10, 149)(11, 150)(12, 134)(13, 135)(14, 154)(15, 136)(16, 156)(17, 138)(18, 158)(19, 159)(20, 160)(21, 141)(22, 142)(23, 143)(24, 164)(25, 145)(26, 166)(27, 147)(28, 168)(29, 169)(30, 170)(31, 151)(32, 152)(33, 153)(34, 174)(35, 155)(36, 176)(37, 157)(38, 178)(39, 179)(40, 180)(41, 161)(42, 162)(43, 163)(44, 184)(45, 165)(46, 186)(47, 167)(48, 188)(49, 189)(50, 190)(51, 171)(52, 172)(53, 173)(54, 194)(55, 175)(56, 195)(57, 177)(58, 185)(59, 187)(60, 193)(61, 181)(62, 182)(63, 183)(64, 192)(65, 191)(66, 196)(67, 197)(68, 198)(69, 199)(70, 200)(71, 201)(72, 202)(73, 203)(74, 204)(75, 205)(76, 206)(77, 207)(78, 208)(79, 209)(80, 210)(81, 211)(82, 212)(83, 213)(84, 214)(85, 215)(86, 216)(87, 217)(88, 218)(89, 219)(90, 220)(91, 221)(92, 222)(93, 223)(94, 224)(95, 225)(96, 226)(97, 227)(98, 228)(99, 229)(100, 230)(101, 231)(102, 232)(103, 233)(104, 234)(105, 235)(106, 236)(107, 237)(108, 238)(109, 239)(110, 240)(111, 241)(112, 242)(113, 243)(114, 244)(115, 245)(116, 246)(117, 247)(118, 248)(119, 249)(120, 250)(121, 251)(122, 252)(123, 253)(124, 254)(125, 255)(126, 256)(127, 257)(128, 258)(129, 259)(130, 260)
	local type(s) :: { ( 130, 130 ), ( 130^10 ) }
Outer automorphisms :: reflexible
Dual of E26.1027
Graph:: simple bipartite
	v = 78 e = 130 f = 2
	degree seq :: [ 2^65, 10^13 ]

E26.1029 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 65, 65})
Quotient :: dipole
Aut^+ = C65 (small group id <65, 1>)
Aut   = D130 (small group id <130, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^5, Y1^7 * Y3 * Y1 * Y3 * Y1^5, Y3 * Y1^-1 * Y3 * Y1^-5 * Y3 * Y1^-7, Y3^-1 * Y1^2 * Y3^-2 * Y1^3 * Y3^-2 * Y1^-2 * Y3 * Y1^-3 * Y3^-1, (Y1^-1 * Y3^-1)^65 ]
Map::
	R = (1, 66, 2, 67, 6, 71, 14, 79, 24, 89, 34, 99, 44, 109, 54, 119, 63, 128, 53, 118, 43, 108, 33, 98, 23, 88, 13, 78, 18, 83, 28, 93, 38, 103, 48, 113, 58, 123, 65, 130, 60, 125, 50, 115, 40, 105, 30, 95, 20, 85, 10, 75, 3, 68, 7, 72, 15, 80, 25, 90, 35, 100, 45, 110, 55, 120, 62, 127, 52, 117, 42, 107, 32, 97, 22, 87, 12, 77, 5, 70, 8, 73, 16, 81, 26, 91, 36, 101, 46, 111, 56, 121, 64, 129, 59, 124, 49, 114, 39, 104, 29, 94, 19, 84, 9, 74, 17, 82, 27, 92, 37, 102, 47, 112, 57, 122, 61, 126, 51, 116, 41, 106, 31, 96, 21, 86, 11, 76, 4, 69)(131, 196)(132, 197)(133, 198)(134, 199)(135, 200)(136, 201)(137, 202)(138, 203)(139, 204)(140, 205)(141, 206)(142, 207)(143, 208)(144, 209)(145, 210)(146, 211)(147, 212)(148, 213)(149, 214)(150, 215)(151, 216)(152, 217)(153, 218)(154, 219)(155, 220)(156, 221)(157, 222)(158, 223)(159, 224)(160, 225)(161, 226)(162, 227)(163, 228)(164, 229)(165, 230)(166, 231)(167, 232)(168, 233)(169, 234)(170, 235)(171, 236)(172, 237)(173, 238)(174, 239)(175, 240)(176, 241)(177, 242)(178, 243)(179, 244)(180, 245)(181, 246)(182, 247)(183, 248)(184, 249)(185, 250)(186, 251)(187, 252)(188, 253)(189, 254)(190, 255)(191, 256)(192, 257)(193, 258)(194, 259)(195, 260)
	L = (1, 133)(2, 137)(3, 139)(4, 140)(5, 131)(6, 145)(7, 147)(8, 132)(9, 143)(10, 149)(11, 150)(12, 134)(13, 135)(14, 155)(15, 157)(16, 136)(17, 148)(18, 138)(19, 153)(20, 159)(21, 160)(22, 141)(23, 142)(24, 165)(25, 167)(26, 144)(27, 158)(28, 146)(29, 163)(30, 169)(31, 170)(32, 151)(33, 152)(34, 175)(35, 177)(36, 154)(37, 168)(38, 156)(39, 173)(40, 179)(41, 180)(42, 161)(43, 162)(44, 185)(45, 187)(46, 164)(47, 178)(48, 166)(49, 183)(50, 189)(51, 190)(52, 171)(53, 172)(54, 192)(55, 191)(56, 174)(57, 188)(58, 176)(59, 193)(60, 194)(61, 195)(62, 181)(63, 182)(64, 184)(65, 186)(66, 196)(67, 197)(68, 198)(69, 199)(70, 200)(71, 201)(72, 202)(73, 203)(74, 204)(75, 205)(76, 206)(77, 207)(78, 208)(79, 209)(80, 210)(81, 211)(82, 212)(83, 213)(84, 214)(85, 215)(86, 216)(87, 217)(88, 218)(89, 219)(90, 220)(91, 221)(92, 222)(93, 223)(94, 224)(95, 225)(96, 226)(97, 227)(98, 228)(99, 229)(100, 230)(101, 231)(102, 232)(103, 233)(104, 234)(105, 235)(106, 236)(107, 237)(108, 238)(109, 239)(110, 240)(111, 241)(112, 242)(113, 243)(114, 244)(115, 245)(116, 246)(117, 247)(118, 248)(119, 249)(120, 250)(121, 251)(122, 252)(123, 253)(124, 254)(125, 255)(126, 256)(127, 257)(128, 258)(129, 259)(130, 260)
	local type(s) :: { ( 10, 130 ), ( 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130 ) }
Outer automorphisms :: reflexible
Dual of E26.1026
Graph:: bipartite
	v = 66 e = 130 f = 14
	degree seq :: [ 2^65, 130 ]

E26.1030 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 65, 65})
Quotient :: dipole
Aut^+ = C65 (small group id <65, 1>)
Aut   = D130 (small group id <130, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), Y3^5, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^5, Y1^-13 * Y3, (Y1^-1 * Y3^-1)^65 ]
Map::
	R = (1, 66, 2, 67, 6, 71, 14, 79, 24, 89, 34, 99, 44, 109, 54, 119, 50, 115, 40, 105, 30, 95, 20, 85, 10, 75, 3, 68, 7, 72, 15, 80, 25, 90, 35, 100, 45, 110, 55, 120, 62, 127, 59, 124, 49, 114, 39, 104, 29, 94, 19, 84, 9, 74, 17, 82, 27, 92, 37, 102, 47, 112, 57, 122, 63, 128, 65, 130, 61, 126, 53, 118, 43, 108, 33, 98, 23, 88, 13, 78, 18, 83, 28, 93, 38, 103, 48, 113, 58, 123, 64, 129, 60, 125, 52, 117, 42, 107, 32, 97, 22, 87, 12, 77, 5, 70, 8, 73, 16, 81, 26, 91, 36, 101, 46, 111, 56, 121, 51, 116, 41, 106, 31, 96, 21, 86, 11, 76, 4, 69)(131, 196)(132, 197)(133, 198)(134, 199)(135, 200)(136, 201)(137, 202)(138, 203)(139, 204)(140, 205)(141, 206)(142, 207)(143, 208)(144, 209)(145, 210)(146, 211)(147, 212)(148, 213)(149, 214)(150, 215)(151, 216)(152, 217)(153, 218)(154, 219)(155, 220)(156, 221)(157, 222)(158, 223)(159, 224)(160, 225)(161, 226)(162, 227)(163, 228)(164, 229)(165, 230)(166, 231)(167, 232)(168, 233)(169, 234)(170, 235)(171, 236)(172, 237)(173, 238)(174, 239)(175, 240)(176, 241)(177, 242)(178, 243)(179, 244)(180, 245)(181, 246)(182, 247)(183, 248)(184, 249)(185, 250)(186, 251)(187, 252)(188, 253)(189, 254)(190, 255)(191, 256)(192, 257)(193, 258)(194, 259)(195, 260)
	L = (1, 133)(2, 137)(3, 139)(4, 140)(5, 131)(6, 145)(7, 147)(8, 132)(9, 143)(10, 149)(11, 150)(12, 134)(13, 135)(14, 155)(15, 157)(16, 136)(17, 148)(18, 138)(19, 153)(20, 159)(21, 160)(22, 141)(23, 142)(24, 165)(25, 167)(26, 144)(27, 158)(28, 146)(29, 163)(30, 169)(31, 170)(32, 151)(33, 152)(34, 175)(35, 177)(36, 154)(37, 168)(38, 156)(39, 173)(40, 179)(41, 180)(42, 161)(43, 162)(44, 185)(45, 187)(46, 164)(47, 178)(48, 166)(49, 183)(50, 189)(51, 184)(52, 171)(53, 172)(54, 192)(55, 193)(56, 174)(57, 188)(58, 176)(59, 191)(60, 181)(61, 182)(62, 195)(63, 194)(64, 186)(65, 190)(66, 196)(67, 197)(68, 198)(69, 199)(70, 200)(71, 201)(72, 202)(73, 203)(74, 204)(75, 205)(76, 206)(77, 207)(78, 208)(79, 209)(80, 210)(81, 211)(82, 212)(83, 213)(84, 214)(85, 215)(86, 216)(87, 217)(88, 218)(89, 219)(90, 220)(91, 221)(92, 222)(93, 223)(94, 224)(95, 225)(96, 226)(97, 227)(98, 228)(99, 229)(100, 230)(101, 231)(102, 232)(103, 233)(104, 234)(105, 235)(106, 236)(107, 237)(108, 238)(109, 239)(110, 240)(111, 241)(112, 242)(113, 243)(114, 244)(115, 245)(116, 246)(117, 247)(118, 248)(119, 249)(120, 250)(121, 251)(122, 252)(123, 253)(124, 254)(125, 255)(126, 256)(127, 257)(128, 258)(129, 259)(130, 260)
	local type(s) :: { ( 10, 130 ), ( 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130 ) }
Outer automorphisms :: reflexible
Dual of E26.1025
Graph:: bipartite
	v = 66 e = 130 f = 14
	degree seq :: [ 2^65, 130 ]

E26.1031 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 65, 65})
Quotient :: dipole
Aut^+ = C65 (small group id <65, 1>)
Aut   = D130 (small group id <130, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^5, Y1^-4 * Y3^-1 * Y1^-9, Y1^2 * Y3^-1 * Y1^4 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1, (Y1^-1 * Y3^-1)^65 ]
Map::
	R = (1, 66, 2, 67, 6, 71, 14, 79, 24, 89, 34, 99, 44, 109, 54, 119, 52, 117, 42, 107, 32, 97, 22, 87, 12, 77, 5, 70, 8, 73, 16, 81, 26, 91, 36, 101, 46, 111, 56, 121, 62, 127, 61, 126, 53, 118, 43, 108, 33, 98, 23, 88, 13, 78, 18, 83, 28, 93, 38, 103, 48, 113, 58, 123, 64, 129, 65, 130, 59, 124, 49, 114, 39, 104, 29, 94, 19, 84, 9, 74, 17, 82, 27, 92, 37, 102, 47, 112, 57, 122, 63, 128, 60, 125, 50, 115, 40, 105, 30, 95, 20, 85, 10, 75, 3, 68, 7, 72, 15, 80, 25, 90, 35, 100, 45, 110, 55, 120, 51, 116, 41, 106, 31, 96, 21, 86, 11, 76, 4, 69)(131, 196)(132, 197)(133, 198)(134, 199)(135, 200)(136, 201)(137, 202)(138, 203)(139, 204)(140, 205)(141, 206)(142, 207)(143, 208)(144, 209)(145, 210)(146, 211)(147, 212)(148, 213)(149, 214)(150, 215)(151, 216)(152, 217)(153, 218)(154, 219)(155, 220)(156, 221)(157, 222)(158, 223)(159, 224)(160, 225)(161, 226)(162, 227)(163, 228)(164, 229)(165, 230)(166, 231)(167, 232)(168, 233)(169, 234)(170, 235)(171, 236)(172, 237)(173, 238)(174, 239)(175, 240)(176, 241)(177, 242)(178, 243)(179, 244)(180, 245)(181, 246)(182, 247)(183, 248)(184, 249)(185, 250)(186, 251)(187, 252)(188, 253)(189, 254)(190, 255)(191, 256)(192, 257)(193, 258)(194, 259)(195, 260)
	L = (1, 133)(2, 137)(3, 139)(4, 140)(5, 131)(6, 145)(7, 147)(8, 132)(9, 143)(10, 149)(11, 150)(12, 134)(13, 135)(14, 155)(15, 157)(16, 136)(17, 148)(18, 138)(19, 153)(20, 159)(21, 160)(22, 141)(23, 142)(24, 165)(25, 167)(26, 144)(27, 158)(28, 146)(29, 163)(30, 169)(31, 170)(32, 151)(33, 152)(34, 175)(35, 177)(36, 154)(37, 168)(38, 156)(39, 173)(40, 179)(41, 180)(42, 161)(43, 162)(44, 185)(45, 187)(46, 164)(47, 178)(48, 166)(49, 183)(50, 189)(51, 190)(52, 171)(53, 172)(54, 181)(55, 193)(56, 174)(57, 188)(58, 176)(59, 191)(60, 195)(61, 182)(62, 184)(63, 194)(64, 186)(65, 192)(66, 196)(67, 197)(68, 198)(69, 199)(70, 200)(71, 201)(72, 202)(73, 203)(74, 204)(75, 205)(76, 206)(77, 207)(78, 208)(79, 209)(80, 210)(81, 211)(82, 212)(83, 213)(84, 214)(85, 215)(86, 216)(87, 217)(88, 218)(89, 219)(90, 220)(91, 221)(92, 222)(93, 223)(94, 224)(95, 225)(96, 226)(97, 227)(98, 228)(99, 229)(100, 230)(101, 231)(102, 232)(103, 233)(104, 234)(105, 235)(106, 236)(107, 237)(108, 238)(109, 239)(110, 240)(111, 241)(112, 242)(113, 243)(114, 244)(115, 245)(116, 246)(117, 247)(118, 248)(119, 249)(120, 250)(121, 251)(122, 252)(123, 253)(124, 254)(125, 255)(126, 256)(127, 257)(128, 258)(129, 259)(130, 260)
	local type(s) :: { ( 10, 130 ), ( 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130, 10, 130 ) }
Outer automorphisms :: reflexible
Dual of E26.1024
Graph:: bipartite
	v = 66 e = 130 f = 14
	degree seq :: [ 2^65, 130 ]

E26.1032 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 22, 33})
Quotient :: edge
Aut^+ = C66 (small group id <66, 4>)
Aut   = D132 (small group id <132, 9>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^6, T1^3 * T2^11 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 31, 43, 55, 62, 50, 38, 26, 14, 25, 37, 49, 61, 60, 48, 36, 24, 13, 5)(2, 7, 17, 29, 41, 53, 65, 58, 46, 34, 22, 11, 21, 33, 45, 57, 66, 54, 42, 30, 18, 8)(4, 10, 20, 32, 44, 56, 64, 52, 40, 28, 16, 6, 15, 27, 39, 51, 63, 59, 47, 35, 23, 12)(67, 68, 72, 80, 77, 70)(69, 73, 81, 91, 87, 76)(71, 74, 82, 92, 88, 78)(75, 83, 93, 103, 99, 86)(79, 84, 94, 104, 100, 89)(85, 95, 105, 115, 111, 98)(90, 96, 106, 116, 112, 101)(97, 107, 117, 127, 123, 110)(102, 108, 118, 128, 124, 113)(109, 119, 129, 126, 132, 122)(114, 120, 130, 121, 131, 125)
	L = (1, 67)(2, 68)(3, 69)(4, 70)(5, 71)(6, 72)(7, 73)(8, 74)(9, 75)(10, 76)(11, 77)(12, 78)(13, 79)(14, 80)(15, 81)(16, 82)(17, 83)(18, 84)(19, 85)(20, 86)(21, 87)(22, 88)(23, 89)(24, 90)(25, 91)(26, 92)(27, 93)(28, 94)(29, 95)(30, 96)(31, 97)(32, 98)(33, 99)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 66^6 ), ( 66^22 ) }
Outer automorphisms :: reflexible
Dual of E26.1036
Transitivity :: ET+
Graph:: bipartite
	v = 14 e = 66 f = 2
	degree seq :: [ 6^11, 22^3 ]

E26.1033 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 22, 33})
Quotient :: edge
Aut^+ = C66 (small group id <66, 4>)
Aut   = D132 (small group id <132, 9>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^2 * T2^-9, T1^8 * T2^-3 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 51, 48, 30, 16, 6, 15, 29, 47, 65, 57, 37, 55, 44, 26, 43, 63, 59, 39, 23, 11, 21, 35, 53, 61, 41, 25, 13, 5)(2, 7, 17, 31, 49, 66, 56, 46, 28, 14, 27, 45, 64, 58, 38, 22, 36, 54, 42, 62, 60, 40, 24, 12, 4, 10, 20, 34, 52, 50, 32, 18, 8)(67, 68, 72, 80, 92, 108, 119, 100, 85, 97, 113, 130, 125, 106, 91, 98, 114, 122, 103, 88, 77, 70)(69, 73, 81, 93, 109, 128, 127, 118, 99, 115, 131, 124, 105, 90, 79, 84, 96, 112, 121, 102, 87, 76)(71, 74, 82, 94, 110, 120, 101, 86, 75, 83, 95, 111, 129, 126, 107, 116, 117, 132, 123, 104, 89, 78)
	L = (1, 67)(2, 68)(3, 69)(4, 70)(5, 71)(6, 72)(7, 73)(8, 74)(9, 75)(10, 76)(11, 77)(12, 78)(13, 79)(14, 80)(15, 81)(16, 82)(17, 83)(18, 84)(19, 85)(20, 86)(21, 87)(22, 88)(23, 89)(24, 90)(25, 91)(26, 92)(27, 93)(28, 94)(29, 95)(30, 96)(31, 97)(32, 98)(33, 99)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 12^22 ), ( 12^33 ) }
Outer automorphisms :: reflexible
Dual of E26.1037
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 66 f = 11
	degree seq :: [ 22^3, 33^2 ]

E26.1034 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 22, 33})
Quotient :: edge
Aut^+ = C66 (small group id <66, 4>)
Aut   = D132 (small group id <132, 9>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^6, T2^6, T2^2 * T1^11 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 13, 5)(2, 7, 17, 30, 18, 8)(4, 10, 20, 31, 24, 12)(6, 15, 28, 42, 29, 16)(11, 21, 32, 43, 36, 23)(14, 26, 40, 54, 41, 27)(22, 33, 44, 55, 48, 35)(25, 38, 52, 63, 53, 39)(34, 45, 56, 64, 60, 47)(37, 50, 58, 66, 62, 51)(46, 57, 65, 61, 49, 59)(67, 68, 72, 80, 91, 103, 115, 126, 114, 102, 90, 79, 84, 95, 107, 119, 128, 131, 122, 110, 98, 86, 75, 83, 94, 106, 118, 124, 112, 100, 88, 77, 70)(69, 73, 81, 92, 104, 116, 125, 113, 101, 89, 78, 71, 74, 82, 93, 105, 117, 127, 130, 121, 109, 97, 85, 96, 108, 120, 129, 132, 123, 111, 99, 87, 76)
	L = (1, 67)(2, 68)(3, 69)(4, 70)(5, 71)(6, 72)(7, 73)(8, 74)(9, 75)(10, 76)(11, 77)(12, 78)(13, 79)(14, 80)(15, 81)(16, 82)(17, 83)(18, 84)(19, 85)(20, 86)(21, 87)(22, 88)(23, 89)(24, 90)(25, 91)(26, 92)(27, 93)(28, 94)(29, 95)(30, 96)(31, 97)(32, 98)(33, 99)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 44^6 ), ( 44^33 ) }
Outer automorphisms :: reflexible
Dual of E26.1035
Transitivity :: ET+
Graph:: bipartite
	v = 13 e = 66 f = 3
	degree seq :: [ 6^11, 33^2 ]

E26.1035 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 22, 33})
Quotient :: loop
Aut^+ = C66 (small group id <66, 4>)
Aut   = D132 (small group id <132, 9>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^6, T1^3 * T2^11 ]
Map:: non-degenerate
	R = (1, 67, 3, 69, 9, 75, 19, 85, 31, 97, 43, 109, 55, 121, 62, 128, 50, 116, 38, 104, 26, 92, 14, 80, 25, 91, 37, 103, 49, 115, 61, 127, 60, 126, 48, 114, 36, 102, 24, 90, 13, 79, 5, 71)(2, 68, 7, 73, 17, 83, 29, 95, 41, 107, 53, 119, 65, 131, 58, 124, 46, 112, 34, 100, 22, 88, 11, 77, 21, 87, 33, 99, 45, 111, 57, 123, 66, 132, 54, 120, 42, 108, 30, 96, 18, 84, 8, 74)(4, 70, 10, 76, 20, 86, 32, 98, 44, 110, 56, 122, 64, 130, 52, 118, 40, 106, 28, 94, 16, 82, 6, 72, 15, 81, 27, 93, 39, 105, 51, 117, 63, 129, 59, 125, 47, 113, 35, 101, 23, 89, 12, 78)
	L = (1, 68)(2, 72)(3, 73)(4, 67)(5, 74)(6, 80)(7, 81)(8, 82)(9, 83)(10, 69)(11, 70)(12, 71)(13, 84)(14, 77)(15, 91)(16, 92)(17, 93)(18, 94)(19, 95)(20, 75)(21, 76)(22, 78)(23, 79)(24, 96)(25, 87)(26, 88)(27, 103)(28, 104)(29, 105)(30, 106)(31, 107)(32, 85)(33, 86)(34, 89)(35, 90)(36, 108)(37, 99)(38, 100)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 97)(45, 98)(46, 101)(47, 102)(48, 120)(49, 111)(50, 112)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 109)(57, 110)(58, 113)(59, 114)(60, 132)(61, 123)(62, 124)(63, 126)(64, 121)(65, 125)(66, 122)
	local type(s) :: { ( 6, 33, 6, 33, 6, 33, 6, 33, 6, 33, 6, 33, 6, 33, 6, 33, 6, 33, 6, 33, 6, 33, 6, 33, 6, 33, 6, 33, 6, 33, 6, 33, 6, 33, 6, 33, 6, 33, 6, 33, 6, 33, 6, 33 ) }
Outer automorphisms :: reflexible
Dual of E26.1034
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 66 f = 13
	degree seq :: [ 44^3 ]

E26.1036 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 22, 33})
Quotient :: loop
Aut^+ = C66 (small group id <66, 4>)
Aut   = D132 (small group id <132, 9>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^2 * T2^-9, T1^8 * T2^-3 ]
Map:: non-degenerate
	R = (1, 67, 3, 69, 9, 75, 19, 85, 33, 99, 51, 117, 48, 114, 30, 96, 16, 82, 6, 72, 15, 81, 29, 95, 47, 113, 65, 131, 57, 123, 37, 103, 55, 121, 44, 110, 26, 92, 43, 109, 63, 129, 59, 125, 39, 105, 23, 89, 11, 77, 21, 87, 35, 101, 53, 119, 61, 127, 41, 107, 25, 91, 13, 79, 5, 71)(2, 68, 7, 73, 17, 83, 31, 97, 49, 115, 66, 132, 56, 122, 46, 112, 28, 94, 14, 80, 27, 93, 45, 111, 64, 130, 58, 124, 38, 104, 22, 88, 36, 102, 54, 120, 42, 108, 62, 128, 60, 126, 40, 106, 24, 90, 12, 78, 4, 70, 10, 76, 20, 86, 34, 100, 52, 118, 50, 116, 32, 98, 18, 84, 8, 74)
	L = (1, 68)(2, 72)(3, 73)(4, 67)(5, 74)(6, 80)(7, 81)(8, 82)(9, 83)(10, 69)(11, 70)(12, 71)(13, 84)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 75)(21, 76)(22, 77)(23, 78)(24, 79)(25, 98)(26, 108)(27, 109)(28, 110)(29, 111)(30, 112)(31, 113)(32, 114)(33, 115)(34, 85)(35, 86)(36, 87)(37, 88)(38, 89)(39, 90)(40, 91)(41, 116)(42, 119)(43, 128)(44, 120)(45, 129)(46, 121)(47, 130)(48, 122)(49, 131)(50, 117)(51, 132)(52, 99)(53, 100)(54, 101)(55, 102)(56, 103)(57, 104)(58, 105)(59, 106)(60, 107)(61, 118)(62, 127)(63, 126)(64, 125)(65, 124)(66, 123)
	local type(s) :: { ( 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22 ) }
Outer automorphisms :: reflexible
Dual of E26.1032
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 66 f = 14
	degree seq :: [ 66^2 ]

E26.1037 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 22, 33})
Quotient :: loop
Aut^+ = C66 (small group id <66, 4>)
Aut   = D132 (small group id <132, 9>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^6, T2^6, T2^2 * T1^11 ]
Map:: non-degenerate
	R = (1, 67, 3, 69, 9, 75, 19, 85, 13, 79, 5, 71)(2, 68, 7, 73, 17, 83, 30, 96, 18, 84, 8, 74)(4, 70, 10, 76, 20, 86, 31, 97, 24, 90, 12, 78)(6, 72, 15, 81, 28, 94, 42, 108, 29, 95, 16, 82)(11, 77, 21, 87, 32, 98, 43, 109, 36, 102, 23, 89)(14, 80, 26, 92, 40, 106, 54, 120, 41, 107, 27, 93)(22, 88, 33, 99, 44, 110, 55, 121, 48, 114, 35, 101)(25, 91, 38, 104, 52, 118, 63, 129, 53, 119, 39, 105)(34, 100, 45, 111, 56, 122, 64, 130, 60, 126, 47, 113)(37, 103, 50, 116, 58, 124, 66, 132, 62, 128, 51, 117)(46, 112, 57, 123, 65, 131, 61, 127, 49, 115, 59, 125)
	L = (1, 68)(2, 72)(3, 73)(4, 67)(5, 74)(6, 80)(7, 81)(8, 82)(9, 83)(10, 69)(11, 70)(12, 71)(13, 84)(14, 91)(15, 92)(16, 93)(17, 94)(18, 95)(19, 96)(20, 75)(21, 76)(22, 77)(23, 78)(24, 79)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 115)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 126)(50, 125)(51, 127)(52, 124)(53, 128)(54, 129)(55, 109)(56, 110)(57, 111)(58, 112)(59, 113)(60, 114)(61, 130)(62, 131)(63, 132)(64, 121)(65, 122)(66, 123)
	local type(s) :: { ( 22, 33, 22, 33, 22, 33, 22, 33, 22, 33, 22, 33 ) }
Outer automorphisms :: reflexible
Dual of E26.1033
Transitivity :: ET+ VT+ AT
Graph::
	v = 11 e = 66 f = 5
	degree seq :: [ 12^11 ]

E26.1038 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 22, 33})
Quotient :: dipole
Aut^+ = C66 (small group id <66, 4>)
Aut   = D132 (small group id <132, 9>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1 * Y3, (Y2, Y1^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y1^6, Y2^3 * Y3 * Y2 * Y3 * Y2^7 * Y1^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-3 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-3 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-2 * Y1, 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 ]
Map::
	R = (1, 67, 2, 68, 6, 72, 14, 80, 11, 77, 4, 70)(3, 69, 7, 73, 15, 81, 25, 91, 21, 87, 10, 76)(5, 71, 8, 74, 16, 82, 26, 92, 22, 88, 12, 78)(9, 75, 17, 83, 27, 93, 37, 103, 33, 99, 20, 86)(13, 79, 18, 84, 28, 94, 38, 104, 34, 100, 23, 89)(19, 85, 29, 95, 39, 105, 49, 115, 45, 111, 32, 98)(24, 90, 30, 96, 40, 106, 50, 116, 46, 112, 35, 101)(31, 97, 41, 107, 51, 117, 61, 127, 57, 123, 44, 110)(36, 102, 42, 108, 52, 118, 62, 128, 58, 124, 47, 113)(43, 109, 53, 119, 63, 129, 60, 126, 66, 132, 56, 122)(48, 114, 54, 120, 64, 130, 55, 121, 65, 131, 59, 125)(133, 199, 135, 201, 141, 207, 151, 217, 163, 229, 175, 241, 187, 253, 194, 260, 182, 248, 170, 236, 158, 224, 146, 212, 157, 223, 169, 235, 181, 247, 193, 259, 192, 258, 180, 246, 168, 234, 156, 222, 145, 211, 137, 203)(134, 200, 139, 205, 149, 215, 161, 227, 173, 239, 185, 251, 197, 263, 190, 256, 178, 244, 166, 232, 154, 220, 143, 209, 153, 219, 165, 231, 177, 243, 189, 255, 198, 264, 186, 252, 174, 240, 162, 228, 150, 216, 140, 206)(136, 202, 142, 208, 152, 218, 164, 230, 176, 242, 188, 254, 196, 262, 184, 250, 172, 238, 160, 226, 148, 214, 138, 204, 147, 213, 159, 225, 171, 237, 183, 249, 195, 261, 191, 257, 179, 245, 167, 233, 155, 221, 144, 210)
	L = (1, 136)(2, 133)(3, 142)(4, 143)(5, 144)(6, 134)(7, 135)(8, 137)(9, 152)(10, 153)(11, 146)(12, 154)(13, 155)(14, 138)(15, 139)(16, 140)(17, 141)(18, 145)(19, 164)(20, 165)(21, 157)(22, 158)(23, 166)(24, 167)(25, 147)(26, 148)(27, 149)(28, 150)(29, 151)(30, 156)(31, 176)(32, 177)(33, 169)(34, 170)(35, 178)(36, 179)(37, 159)(38, 160)(39, 161)(40, 162)(41, 163)(42, 168)(43, 188)(44, 189)(45, 181)(46, 182)(47, 190)(48, 191)(49, 171)(50, 172)(51, 173)(52, 174)(53, 175)(54, 180)(55, 196)(56, 198)(57, 193)(58, 194)(59, 197)(60, 195)(61, 183)(62, 184)(63, 185)(64, 186)(65, 187)(66, 192)(67, 199)(68, 200)(69, 201)(70, 202)(71, 203)(72, 204)(73, 205)(74, 206)(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, 223)(92, 224)(93, 225)(94, 226)(95, 227)(96, 228)(97, 229)(98, 230)(99, 231)(100, 232)(101, 233)(102, 234)(103, 235)(104, 236)(105, 237)(106, 238)(107, 239)(108, 240)(109, 241)(110, 242)(111, 243)(112, 244)(113, 245)(114, 246)(115, 247)(116, 248)(117, 249)(118, 250)(119, 251)(120, 252)(121, 253)(122, 254)(123, 255)(124, 256)(125, 257)(126, 258)(127, 259)(128, 260)(129, 261)(130, 262)(131, 263)(132, 264)
	local type(s) :: { ( 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66 ), ( 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66 ) }
Outer automorphisms :: reflexible
Dual of E26.1041
Graph:: bipartite
	v = 14 e = 132 f = 68
	degree seq :: [ 12^11, 44^3 ]

E26.1039 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 22, 33})
Quotient :: dipole
Aut^+ = C66 (small group id <66, 4>)
Aut   = D132 (small group id <132, 9>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y1^-1, Y2), Y1^2 * Y2^-9, Y1^8 * Y2^-3, (Y3^-1 * Y1^-1)^6 ]
Map::
	R = (1, 67, 2, 68, 6, 72, 14, 80, 26, 92, 42, 108, 53, 119, 34, 100, 19, 85, 31, 97, 47, 113, 64, 130, 59, 125, 40, 106, 25, 91, 32, 98, 48, 114, 56, 122, 37, 103, 22, 88, 11, 77, 4, 70)(3, 69, 7, 73, 15, 81, 27, 93, 43, 109, 62, 128, 61, 127, 52, 118, 33, 99, 49, 115, 65, 131, 58, 124, 39, 105, 24, 90, 13, 79, 18, 84, 30, 96, 46, 112, 55, 121, 36, 102, 21, 87, 10, 76)(5, 71, 8, 74, 16, 82, 28, 94, 44, 110, 54, 120, 35, 101, 20, 86, 9, 75, 17, 83, 29, 95, 45, 111, 63, 129, 60, 126, 41, 107, 50, 116, 51, 117, 66, 132, 57, 123, 38, 104, 23, 89, 12, 78)(133, 199, 135, 201, 141, 207, 151, 217, 165, 231, 183, 249, 180, 246, 162, 228, 148, 214, 138, 204, 147, 213, 161, 227, 179, 245, 197, 263, 189, 255, 169, 235, 187, 253, 176, 242, 158, 224, 175, 241, 195, 261, 191, 257, 171, 237, 155, 221, 143, 209, 153, 219, 167, 233, 185, 251, 193, 259, 173, 239, 157, 223, 145, 211, 137, 203)(134, 200, 139, 205, 149, 215, 163, 229, 181, 247, 198, 264, 188, 254, 178, 244, 160, 226, 146, 212, 159, 225, 177, 243, 196, 262, 190, 256, 170, 236, 154, 220, 168, 234, 186, 252, 174, 240, 194, 260, 192, 258, 172, 238, 156, 222, 144, 210, 136, 202, 142, 208, 152, 218, 166, 232, 184, 250, 182, 248, 164, 230, 150, 216, 140, 206)
	L = (1, 135)(2, 139)(3, 141)(4, 142)(5, 133)(6, 147)(7, 149)(8, 134)(9, 151)(10, 152)(11, 153)(12, 136)(13, 137)(14, 159)(15, 161)(16, 138)(17, 163)(18, 140)(19, 165)(20, 166)(21, 167)(22, 168)(23, 143)(24, 144)(25, 145)(26, 175)(27, 177)(28, 146)(29, 179)(30, 148)(31, 181)(32, 150)(33, 183)(34, 184)(35, 185)(36, 186)(37, 187)(38, 154)(39, 155)(40, 156)(41, 157)(42, 194)(43, 195)(44, 158)(45, 196)(46, 160)(47, 197)(48, 162)(49, 198)(50, 164)(51, 180)(52, 182)(53, 193)(54, 174)(55, 176)(56, 178)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 192)(63, 191)(64, 190)(65, 189)(66, 188)(67, 199)(68, 200)(69, 201)(70, 202)(71, 203)(72, 204)(73, 205)(74, 206)(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, 223)(92, 224)(93, 225)(94, 226)(95, 227)(96, 228)(97, 229)(98, 230)(99, 231)(100, 232)(101, 233)(102, 234)(103, 235)(104, 236)(105, 237)(106, 238)(107, 239)(108, 240)(109, 241)(110, 242)(111, 243)(112, 244)(113, 245)(114, 246)(115, 247)(116, 248)(117, 249)(118, 250)(119, 251)(120, 252)(121, 253)(122, 254)(123, 255)(124, 256)(125, 257)(126, 258)(127, 259)(128, 260)(129, 261)(130, 262)(131, 263)(132, 264)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1040
Graph:: bipartite
	v = 5 e = 132 f = 77
	degree seq :: [ 44^3, 66^2 ]

E26.1040 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 22, 33})
Quotient :: dipole
Aut^+ = C66 (small group id <66, 4>)
Aut   = D132 (small group id <132, 9>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^6, Y2^6, Y2^-2 * Y3^11, (Y3^-1 * Y1^-1)^33 ]
Map::
	R = (1, 67)(2, 68)(3, 69)(4, 70)(5, 71)(6, 72)(7, 73)(8, 74)(9, 75)(10, 76)(11, 77)(12, 78)(13, 79)(14, 80)(15, 81)(16, 82)(17, 83)(18, 84)(19, 85)(20, 86)(21, 87)(22, 88)(23, 89)(24, 90)(25, 91)(26, 92)(27, 93)(28, 94)(29, 95)(30, 96)(31, 97)(32, 98)(33, 99)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)(133, 199, 134, 200, 138, 204, 146, 212, 143, 209, 136, 202)(135, 201, 139, 205, 147, 213, 157, 223, 153, 219, 142, 208)(137, 203, 140, 206, 148, 214, 158, 224, 154, 220, 144, 210)(141, 207, 149, 215, 159, 225, 169, 235, 165, 231, 152, 218)(145, 211, 150, 216, 160, 226, 170, 236, 166, 232, 155, 221)(151, 217, 161, 227, 171, 237, 181, 247, 177, 243, 164, 230)(156, 222, 162, 228, 172, 238, 182, 248, 178, 244, 167, 233)(163, 229, 173, 239, 183, 249, 193, 259, 189, 255, 176, 242)(168, 234, 174, 240, 184, 250, 194, 260, 190, 256, 179, 245)(175, 241, 185, 251, 195, 261, 198, 264, 192, 258, 188, 254)(180, 246, 186, 252, 187, 253, 196, 262, 197, 263, 191, 257)
	L = (1, 135)(2, 139)(3, 141)(4, 142)(5, 133)(6, 147)(7, 149)(8, 134)(9, 151)(10, 152)(11, 153)(12, 136)(13, 137)(14, 157)(15, 159)(16, 138)(17, 161)(18, 140)(19, 163)(20, 164)(21, 165)(22, 143)(23, 144)(24, 145)(25, 169)(26, 146)(27, 171)(28, 148)(29, 173)(30, 150)(31, 175)(32, 176)(33, 177)(34, 154)(35, 155)(36, 156)(37, 181)(38, 158)(39, 183)(40, 160)(41, 185)(42, 162)(43, 187)(44, 188)(45, 189)(46, 166)(47, 167)(48, 168)(49, 193)(50, 170)(51, 195)(52, 172)(53, 196)(54, 174)(55, 184)(56, 186)(57, 192)(58, 178)(59, 179)(60, 180)(61, 198)(62, 182)(63, 197)(64, 194)(65, 190)(66, 191)(67, 199)(68, 200)(69, 201)(70, 202)(71, 203)(72, 204)(73, 205)(74, 206)(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, 223)(92, 224)(93, 225)(94, 226)(95, 227)(96, 228)(97, 229)(98, 230)(99, 231)(100, 232)(101, 233)(102, 234)(103, 235)(104, 236)(105, 237)(106, 238)(107, 239)(108, 240)(109, 241)(110, 242)(111, 243)(112, 244)(113, 245)(114, 246)(115, 247)(116, 248)(117, 249)(118, 250)(119, 251)(120, 252)(121, 253)(122, 254)(123, 255)(124, 256)(125, 257)(126, 258)(127, 259)(128, 260)(129, 261)(130, 262)(131, 263)(132, 264)
	local type(s) :: { ( 44, 66 ), ( 44, 66, 44, 66, 44, 66, 44, 66, 44, 66, 44, 66 ) }
Outer automorphisms :: reflexible
Dual of E26.1039
Graph:: simple bipartite
	v = 77 e = 132 f = 5
	degree seq :: [ 2^66, 12^11 ]

E26.1041 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 22, 33})
Quotient :: dipole
Aut^+ = C66 (small group id <66, 4>)
Aut   = D132 (small group id <132, 9>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1^-1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3^4 * Y1^-1 * Y3, Y3^-1 * Y1 * Y3^-2 * Y1^-1 * Y3^-3, (Y3 * Y2^-1)^6, Y1^3 * Y3 * Y1^2 * Y3 * Y1^6, Y3^-1 * Y1^4 * Y3^-1 * Y1^5 * Y3^-1 * Y1^2 * Y3^-1, Y1^-2 * Y3 * Y1^-1 * Y3^-1 * Y1^-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 ]
Map::
	R = (1, 67, 2, 68, 6, 72, 14, 80, 25, 91, 37, 103, 49, 115, 60, 126, 48, 114, 36, 102, 24, 90, 13, 79, 18, 84, 29, 95, 41, 107, 53, 119, 62, 128, 65, 131, 56, 122, 44, 110, 32, 98, 20, 86, 9, 75, 17, 83, 28, 94, 40, 106, 52, 118, 58, 124, 46, 112, 34, 100, 22, 88, 11, 77, 4, 70)(3, 69, 7, 73, 15, 81, 26, 92, 38, 104, 50, 116, 59, 125, 47, 113, 35, 101, 23, 89, 12, 78, 5, 71, 8, 74, 16, 82, 27, 93, 39, 105, 51, 117, 61, 127, 64, 130, 55, 121, 43, 109, 31, 97, 19, 85, 30, 96, 42, 108, 54, 120, 63, 129, 66, 132, 57, 123, 45, 111, 33, 99, 21, 87, 10, 76)(133, 199)(134, 200)(135, 201)(136, 202)(137, 203)(138, 204)(139, 205)(140, 206)(141, 207)(142, 208)(143, 209)(144, 210)(145, 211)(146, 212)(147, 213)(148, 214)(149, 215)(150, 216)(151, 217)(152, 218)(153, 219)(154, 220)(155, 221)(156, 222)(157, 223)(158, 224)(159, 225)(160, 226)(161, 227)(162, 228)(163, 229)(164, 230)(165, 231)(166, 232)(167, 233)(168, 234)(169, 235)(170, 236)(171, 237)(172, 238)(173, 239)(174, 240)(175, 241)(176, 242)(177, 243)(178, 244)(179, 245)(180, 246)(181, 247)(182, 248)(183, 249)(184, 250)(185, 251)(186, 252)(187, 253)(188, 254)(189, 255)(190, 256)(191, 257)(192, 258)(193, 259)(194, 260)(195, 261)(196, 262)(197, 263)(198, 264)
	L = (1, 135)(2, 139)(3, 141)(4, 142)(5, 133)(6, 147)(7, 149)(8, 134)(9, 151)(10, 152)(11, 153)(12, 136)(13, 137)(14, 158)(15, 160)(16, 138)(17, 162)(18, 140)(19, 145)(20, 163)(21, 164)(22, 165)(23, 143)(24, 144)(25, 170)(26, 172)(27, 146)(28, 174)(29, 148)(30, 150)(31, 156)(32, 175)(33, 176)(34, 177)(35, 154)(36, 155)(37, 182)(38, 184)(39, 157)(40, 186)(41, 159)(42, 161)(43, 168)(44, 187)(45, 188)(46, 189)(47, 166)(48, 167)(49, 191)(50, 190)(51, 169)(52, 195)(53, 171)(54, 173)(55, 180)(56, 196)(57, 197)(58, 198)(59, 178)(60, 179)(61, 181)(62, 183)(63, 185)(64, 192)(65, 193)(66, 194)(67, 199)(68, 200)(69, 201)(70, 202)(71, 203)(72, 204)(73, 205)(74, 206)(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, 223)(92, 224)(93, 225)(94, 226)(95, 227)(96, 228)(97, 229)(98, 230)(99, 231)(100, 232)(101, 233)(102, 234)(103, 235)(104, 236)(105, 237)(106, 238)(107, 239)(108, 240)(109, 241)(110, 242)(111, 243)(112, 244)(113, 245)(114, 246)(115, 247)(116, 248)(117, 249)(118, 250)(119, 251)(120, 252)(121, 253)(122, 254)(123, 255)(124, 256)(125, 257)(126, 258)(127, 259)(128, 260)(129, 261)(130, 262)(131, 263)(132, 264)
	local type(s) :: { ( 12, 44 ), ( 12, 44, 12, 44, 12, 44, 12, 44, 12, 44, 12, 44, 12, 44, 12, 44, 12, 44, 12, 44, 12, 44, 12, 44, 12, 44, 12, 44, 12, 44, 12, 44, 12, 44, 12, 44, 12, 44, 12, 44, 12, 44, 12, 44, 12, 44, 12, 44, 12, 44, 12, 44, 12, 44, 12, 44, 12, 44, 12, 44, 12, 44, 12, 44, 12, 44 ) }
Outer automorphisms :: reflexible
Dual of E26.1038
Graph:: simple bipartite
	v = 68 e = 132 f = 14
	degree seq :: [ 2^66, 66^2 ]

E26.1042 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 22, 33})
Quotient :: dipole
Aut^+ = C66 (small group id <66, 4>)
Aut   = D132 (small group id <132, 9>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), (Y3^-1, Y2^-1), (Y1^-1 * Y3)^3, Y1^6, Y2^5 * Y1 * Y2^6 * Y3^-1, Y2^11 * 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 ]
Map::
	R = (1, 67, 2, 68, 6, 72, 14, 80, 11, 77, 4, 70)(3, 69, 7, 73, 15, 81, 25, 91, 21, 87, 10, 76)(5, 71, 8, 74, 16, 82, 26, 92, 22, 88, 12, 78)(9, 75, 17, 83, 27, 93, 37, 103, 33, 99, 20, 86)(13, 79, 18, 84, 28, 94, 38, 104, 34, 100, 23, 89)(19, 85, 29, 95, 39, 105, 49, 115, 45, 111, 32, 98)(24, 90, 30, 96, 40, 106, 50, 116, 46, 112, 35, 101)(31, 97, 41, 107, 51, 117, 61, 127, 57, 123, 44, 110)(36, 102, 42, 108, 52, 118, 62, 128, 58, 124, 47, 113)(43, 109, 53, 119, 60, 126, 64, 130, 66, 132, 56, 122)(48, 114, 54, 120, 63, 129, 65, 131, 55, 121, 59, 125)(133, 199, 135, 201, 141, 207, 151, 217, 163, 229, 175, 241, 187, 253, 190, 256, 178, 244, 166, 232, 154, 220, 143, 209, 153, 219, 165, 231, 177, 243, 189, 255, 198, 264, 195, 261, 184, 250, 172, 238, 160, 226, 148, 214, 138, 204, 147, 213, 159, 225, 171, 237, 183, 249, 192, 258, 180, 246, 168, 234, 156, 222, 145, 211, 137, 203)(134, 200, 139, 205, 149, 215, 161, 227, 173, 239, 185, 251, 191, 257, 179, 245, 167, 233, 155, 221, 144, 210, 136, 202, 142, 208, 152, 218, 164, 230, 176, 242, 188, 254, 197, 263, 194, 260, 182, 248, 170, 236, 158, 224, 146, 212, 157, 223, 169, 235, 181, 247, 193, 259, 196, 262, 186, 252, 174, 240, 162, 228, 150, 216, 140, 206)
	L = (1, 136)(2, 133)(3, 142)(4, 143)(5, 144)(6, 134)(7, 135)(8, 137)(9, 152)(10, 153)(11, 146)(12, 154)(13, 155)(14, 138)(15, 139)(16, 140)(17, 141)(18, 145)(19, 164)(20, 165)(21, 157)(22, 158)(23, 166)(24, 167)(25, 147)(26, 148)(27, 149)(28, 150)(29, 151)(30, 156)(31, 176)(32, 177)(33, 169)(34, 170)(35, 178)(36, 179)(37, 159)(38, 160)(39, 161)(40, 162)(41, 163)(42, 168)(43, 188)(44, 189)(45, 181)(46, 182)(47, 190)(48, 191)(49, 171)(50, 172)(51, 173)(52, 174)(53, 175)(54, 180)(55, 197)(56, 198)(57, 193)(58, 194)(59, 187)(60, 185)(61, 183)(62, 184)(63, 186)(64, 192)(65, 195)(66, 196)(67, 199)(68, 200)(69, 201)(70, 202)(71, 203)(72, 204)(73, 205)(74, 206)(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, 223)(92, 224)(93, 225)(94, 226)(95, 227)(96, 228)(97, 229)(98, 230)(99, 231)(100, 232)(101, 233)(102, 234)(103, 235)(104, 236)(105, 237)(106, 238)(107, 239)(108, 240)(109, 241)(110, 242)(111, 243)(112, 244)(113, 245)(114, 246)(115, 247)(116, 248)(117, 249)(118, 250)(119, 251)(120, 252)(121, 253)(122, 254)(123, 255)(124, 256)(125, 257)(126, 258)(127, 259)(128, 260)(129, 261)(130, 262)(131, 263)(132, 264)
	local type(s) :: { ( 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44 ), ( 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44 ) }
Outer automorphisms :: reflexible
Dual of E26.1043
Graph:: bipartite
	v = 13 e = 132 f = 69
	degree seq :: [ 12^11, 66^2 ]

E26.1043 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 22, 33})
Quotient :: dipole
Aut^+ = C66 (small group id <66, 4>)
Aut   = D132 (small group id <132, 9>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1^-1, Y3), (R * Y2 * Y3^-1)^2, Y1^2 * Y3^-9, Y1^8 * Y3^-3, (Y3 * Y2^-1)^33 ]
Map::
	R = (1, 67, 2, 68, 6, 72, 14, 80, 26, 92, 42, 108, 53, 119, 34, 100, 19, 85, 31, 97, 47, 113, 64, 130, 59, 125, 40, 106, 25, 91, 32, 98, 48, 114, 56, 122, 37, 103, 22, 88, 11, 77, 4, 70)(3, 69, 7, 73, 15, 81, 27, 93, 43, 109, 62, 128, 61, 127, 52, 118, 33, 99, 49, 115, 65, 131, 58, 124, 39, 105, 24, 90, 13, 79, 18, 84, 30, 96, 46, 112, 55, 121, 36, 102, 21, 87, 10, 76)(5, 71, 8, 74, 16, 82, 28, 94, 44, 110, 54, 120, 35, 101, 20, 86, 9, 75, 17, 83, 29, 95, 45, 111, 63, 129, 60, 126, 41, 107, 50, 116, 51, 117, 66, 132, 57, 123, 38, 104, 23, 89, 12, 78)(133, 199)(134, 200)(135, 201)(136, 202)(137, 203)(138, 204)(139, 205)(140, 206)(141, 207)(142, 208)(143, 209)(144, 210)(145, 211)(146, 212)(147, 213)(148, 214)(149, 215)(150, 216)(151, 217)(152, 218)(153, 219)(154, 220)(155, 221)(156, 222)(157, 223)(158, 224)(159, 225)(160, 226)(161, 227)(162, 228)(163, 229)(164, 230)(165, 231)(166, 232)(167, 233)(168, 234)(169, 235)(170, 236)(171, 237)(172, 238)(173, 239)(174, 240)(175, 241)(176, 242)(177, 243)(178, 244)(179, 245)(180, 246)(181, 247)(182, 248)(183, 249)(184, 250)(185, 251)(186, 252)(187, 253)(188, 254)(189, 255)(190, 256)(191, 257)(192, 258)(193, 259)(194, 260)(195, 261)(196, 262)(197, 263)(198, 264)
	L = (1, 135)(2, 139)(3, 141)(4, 142)(5, 133)(6, 147)(7, 149)(8, 134)(9, 151)(10, 152)(11, 153)(12, 136)(13, 137)(14, 159)(15, 161)(16, 138)(17, 163)(18, 140)(19, 165)(20, 166)(21, 167)(22, 168)(23, 143)(24, 144)(25, 145)(26, 175)(27, 177)(28, 146)(29, 179)(30, 148)(31, 181)(32, 150)(33, 183)(34, 184)(35, 185)(36, 186)(37, 187)(38, 154)(39, 155)(40, 156)(41, 157)(42, 194)(43, 195)(44, 158)(45, 196)(46, 160)(47, 197)(48, 162)(49, 198)(50, 164)(51, 180)(52, 182)(53, 193)(54, 174)(55, 176)(56, 178)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 192)(63, 191)(64, 190)(65, 189)(66, 188)(67, 199)(68, 200)(69, 201)(70, 202)(71, 203)(72, 204)(73, 205)(74, 206)(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, 223)(92, 224)(93, 225)(94, 226)(95, 227)(96, 228)(97, 229)(98, 230)(99, 231)(100, 232)(101, 233)(102, 234)(103, 235)(104, 236)(105, 237)(106, 238)(107, 239)(108, 240)(109, 241)(110, 242)(111, 243)(112, 244)(113, 245)(114, 246)(115, 247)(116, 248)(117, 249)(118, 250)(119, 251)(120, 252)(121, 253)(122, 254)(123, 255)(124, 256)(125, 257)(126, 258)(127, 259)(128, 260)(129, 261)(130, 262)(131, 263)(132, 264)
	local type(s) :: { ( 12, 66 ), ( 12, 66, 12, 66, 12, 66, 12, 66, 12, 66, 12, 66, 12, 66, 12, 66, 12, 66, 12, 66, 12, 66, 12, 66, 12, 66, 12, 66, 12, 66, 12, 66, 12, 66, 12, 66, 12, 66, 12, 66, 12, 66, 12, 66 ) }
Outer automorphisms :: reflexible
Dual of E26.1042
Graph:: simple bipartite
	v = 69 e = 132 f = 13
	degree seq :: [ 2^66, 44^3 ]

E26.1044 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 14, 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, T2^14 ]
Map:: non-degenerate
	R = (1, 3, 9, 18, 28, 38, 48, 58, 53, 43, 33, 23, 13, 5)(2, 7, 16, 26, 36, 46, 56, 65, 57, 47, 37, 27, 17, 8)(4, 10, 19, 29, 39, 49, 59, 66, 62, 52, 42, 32, 22, 12)(6, 14, 24, 34, 44, 54, 63, 69, 64, 55, 45, 35, 25, 15)(11, 20, 30, 40, 50, 60, 67, 70, 68, 61, 51, 41, 31, 21)(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, 133, 137, 129)(123, 127, 134, 138, 132)(128, 135, 139, 140, 136)
	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 ), ( 140^14 ) }
Outer automorphisms :: reflexible
Dual of E26.1048
Transitivity :: ET+
Graph:: simple bipartite
	v = 19 e = 70 f = 1
	degree seq :: [ 5^14, 14^5 ]

E26.1045 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 14, 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, T2^-10 * T1^4, T2^9 * T1^-1 * T2 * T1^-3, T2^2 * T1^-1 * T2 * T1^-2 * T2^2 * T1^-6, T1^14 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 51, 61, 69, 58, 44, 26, 43, 40, 24, 12, 4, 10, 20, 34, 52, 62, 70, 59, 46, 28, 14, 27, 45, 39, 23, 11, 21, 35, 53, 63, 66, 60, 48, 30, 16, 6, 15, 29, 47, 38, 22, 36, 54, 64, 67, 56, 50, 32, 18, 8, 2, 7, 17, 31, 49, 37, 55, 65, 68, 57, 42, 41, 25, 13, 5)(71, 72, 76, 84, 96, 112, 126, 136, 132, 121, 107, 92, 81, 74)(73, 77, 85, 97, 113, 111, 120, 130, 140, 131, 125, 106, 91, 80)(75, 78, 86, 98, 114, 127, 137, 133, 122, 103, 119, 108, 93, 82)(79, 87, 99, 115, 110, 95, 102, 118, 129, 139, 135, 124, 105, 90)(83, 88, 100, 116, 128, 138, 134, 123, 104, 89, 101, 117, 109, 94)
	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) :: { ( 10^14 ), ( 10^70 ) }
Outer automorphisms :: reflexible
Dual of E26.1049
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 70 f = 14
	degree seq :: [ 14^5, 70 ]

E26.1046 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 14, 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), T2^5, T1^14 * T2^-1, (T1^-1 * T2^-1)^14 ]
Map:: non-degenerate
	R = (1, 3, 9, 13, 5)(2, 7, 17, 18, 8)(4, 10, 19, 23, 12)(6, 15, 27, 28, 16)(11, 20, 29, 33, 22)(14, 25, 37, 38, 26)(21, 30, 39, 43, 32)(24, 35, 47, 48, 36)(31, 40, 49, 53, 42)(34, 45, 57, 58, 46)(41, 50, 59, 63, 52)(44, 55, 65, 66, 56)(51, 60, 67, 69, 62)(54, 64, 70, 68, 61)(71, 72, 76, 84, 94, 104, 114, 124, 130, 120, 110, 100, 90, 80, 73, 77, 85, 95, 105, 115, 125, 134, 137, 129, 119, 109, 99, 89, 79, 87, 97, 107, 117, 127, 135, 140, 139, 133, 123, 113, 103, 93, 83, 88, 98, 108, 118, 128, 136, 138, 132, 122, 112, 102, 92, 82, 75, 78, 86, 96, 106, 116, 126, 131, 121, 111, 101, 91, 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) :: { ( 28^5 ), ( 28^70 ) }
Outer automorphisms :: reflexible
Dual of E26.1047
Transitivity :: ET+
Graph:: bipartite
	v = 15 e = 70 f = 5
	degree seq :: [ 5^14, 70 ]

E26.1047 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 14, 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, T2^14 ]
Map:: non-degenerate
	R = (1, 71, 3, 73, 9, 79, 18, 88, 28, 98, 38, 108, 48, 118, 58, 128, 53, 123, 43, 113, 33, 103, 23, 93, 13, 83, 5, 75)(2, 72, 7, 77, 16, 86, 26, 96, 36, 106, 46, 116, 56, 126, 65, 135, 57, 127, 47, 117, 37, 107, 27, 97, 17, 87, 8, 78)(4, 74, 10, 80, 19, 89, 29, 99, 39, 109, 49, 119, 59, 129, 66, 136, 62, 132, 52, 122, 42, 112, 32, 102, 22, 92, 12, 82)(6, 76, 14, 84, 24, 94, 34, 104, 44, 114, 54, 124, 63, 133, 69, 139, 64, 134, 55, 125, 45, 115, 35, 105, 25, 95, 15, 85)(11, 81, 20, 90, 30, 100, 40, 110, 50, 120, 60, 130, 67, 137, 70, 140, 68, 138, 61, 131, 51, 121, 41, 111, 31, 101, 21, 91)
	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, 133)(57, 134)(58, 135)(59, 118)(60, 119)(61, 122)(62, 123)(63, 137)(64, 138)(65, 139)(66, 128)(67, 129)(68, 132)(69, 140)(70, 136)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1046
Transitivity :: ET+ VT+ AT
Graph::
	v = 5 e = 70 f = 15
	degree seq :: [ 28^5 ]

E26.1048 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 14, 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 * T2^-5, T2^-10 * T1^4, T2^9 * T1^-1 * T2 * T1^-3, T2^2 * T1^-1 * T2 * T1^-2 * T2^2 * T1^-6, T1^14 ]
Map:: non-degenerate
	R = (1, 71, 3, 73, 9, 79, 19, 89, 33, 103, 51, 121, 61, 131, 69, 139, 58, 128, 44, 114, 26, 96, 43, 113, 40, 110, 24, 94, 12, 82, 4, 74, 10, 80, 20, 90, 34, 104, 52, 122, 62, 132, 70, 140, 59, 129, 46, 116, 28, 98, 14, 84, 27, 97, 45, 115, 39, 109, 23, 93, 11, 81, 21, 91, 35, 105, 53, 123, 63, 133, 66, 136, 60, 130, 48, 118, 30, 100, 16, 86, 6, 76, 15, 85, 29, 99, 47, 117, 38, 108, 22, 92, 36, 106, 54, 124, 64, 134, 67, 137, 56, 126, 50, 120, 32, 102, 18, 88, 8, 78, 2, 72, 7, 77, 17, 87, 31, 101, 49, 119, 37, 107, 55, 125, 65, 135, 68, 138, 57, 127, 42, 112, 41, 111, 25, 95, 13, 83, 5, 75)
	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, 96)(15, 97)(16, 98)(17, 99)(18, 100)(19, 101)(20, 79)(21, 80)(22, 81)(23, 82)(24, 83)(25, 102)(26, 112)(27, 113)(28, 114)(29, 115)(30, 116)(31, 117)(32, 118)(33, 119)(34, 89)(35, 90)(36, 91)(37, 92)(38, 93)(39, 94)(40, 95)(41, 120)(42, 126)(43, 111)(44, 127)(45, 110)(46, 128)(47, 109)(48, 129)(49, 108)(50, 130)(51, 107)(52, 103)(53, 104)(54, 105)(55, 106)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 125)(62, 121)(63, 122)(64, 123)(65, 124)(66, 132)(67, 133)(68, 134)(69, 135)(70, 131)
	local type(s) :: { ( 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14, 5, 14 ) }
Outer automorphisms :: reflexible
Dual of E26.1044
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 70 f = 19
	degree seq :: [ 140 ]

E26.1049 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 14, 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^-1, (T1^-1 * T2^-1)^14 ]
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, 64, 134, 70, 140, 68, 138, 61, 131)
	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, 130)(55, 134)(56, 131)(57, 135)(58, 136)(59, 119)(60, 120)(61, 121)(62, 122)(63, 123)(64, 137)(65, 140)(66, 138)(67, 129)(68, 132)(69, 133)(70, 139)
	local type(s) :: { ( 14, 70, 14, 70, 14, 70, 14, 70, 14, 70 ) }
Outer automorphisms :: reflexible
Dual of E26.1045
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 14 e = 70 f = 6
	degree seq :: [ 10^14 ]

E26.1050 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 14, 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, Y3^70 ]
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, 63, 133, 67, 137, 59, 129)(53, 123, 57, 127, 64, 134, 68, 138, 62, 132)(58, 128, 65, 135, 69, 139, 70, 140, 66, 136)(141, 211, 143, 213, 149, 219, 158, 228, 168, 238, 178, 248, 188, 258, 198, 268, 193, 263, 183, 253, 173, 243, 163, 233, 153, 223, 145, 215)(142, 212, 147, 217, 156, 226, 166, 236, 176, 246, 186, 256, 196, 266, 205, 275, 197, 267, 187, 257, 177, 247, 167, 237, 157, 227, 148, 218)(144, 214, 150, 220, 159, 229, 169, 239, 179, 249, 189, 259, 199, 269, 206, 276, 202, 272, 192, 262, 182, 252, 172, 242, 162, 232, 152, 222)(146, 216, 154, 224, 164, 234, 174, 244, 184, 254, 194, 264, 203, 273, 209, 279, 204, 274, 195, 265, 185, 255, 175, 245, 165, 235, 155, 225)(151, 221, 160, 230, 170, 240, 180, 250, 190, 260, 200, 270, 207, 277, 210, 280, 208, 278, 201, 271, 191, 261, 181, 251, 171, 241, 161, 231)
	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, 206)(59, 207)(60, 194)(61, 195)(62, 208)(63, 196)(64, 197)(65, 198)(66, 210)(67, 203)(68, 204)(69, 205)(70, 209)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.1053
Graph:: bipartite
	v = 19 e = 140 f = 71
	degree seq :: [ 10^14, 28^5 ]

E26.1051 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 14, 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^-5 * Y2^-5, (Y3^-1 * Y1^-1)^5, Y2^10 * Y1^-4, Y1^28 ]
Map::
	R = (1, 71, 2, 72, 6, 76, 14, 84, 26, 96, 42, 112, 56, 126, 66, 136, 62, 132, 51, 121, 37, 107, 22, 92, 11, 81, 4, 74)(3, 73, 7, 77, 15, 85, 27, 97, 43, 113, 41, 111, 50, 120, 60, 130, 70, 140, 61, 131, 55, 125, 36, 106, 21, 91, 10, 80)(5, 75, 8, 78, 16, 86, 28, 98, 44, 114, 57, 127, 67, 137, 63, 133, 52, 122, 33, 103, 49, 119, 38, 108, 23, 93, 12, 82)(9, 79, 17, 87, 29, 99, 45, 115, 40, 110, 25, 95, 32, 102, 48, 118, 59, 129, 69, 139, 65, 135, 54, 124, 35, 105, 20, 90)(13, 83, 18, 88, 30, 100, 46, 116, 58, 128, 68, 138, 64, 134, 53, 123, 34, 104, 19, 89, 31, 101, 47, 117, 39, 109, 24, 94)(141, 211, 143, 213, 149, 219, 159, 229, 173, 243, 191, 261, 201, 271, 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, 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, 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, 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, 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, 209)(62, 210)(63, 206)(64, 207)(65, 208)(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, 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 E26.1052
Graph:: bipartite
	v = 6 e = 140 f = 84
	degree seq :: [ 28^5, 140 ]

E26.1052 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 14, 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, Y2 * Y3^14, 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^-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, 208, 278, 199, 269)(193, 263, 197, 267, 205, 275, 209, 279, 202, 272)(198, 268, 203, 273, 206, 276, 210, 280, 207, 277)
	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, 203)(57, 187)(58, 202)(59, 207)(60, 208)(61, 191)(62, 192)(63, 193)(64, 206)(65, 195)(66, 197)(67, 209)(68, 210)(69, 201)(70, 205)(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) :: { ( 28, 140 ), ( 28, 140, 28, 140, 28, 140, 28, 140, 28, 140 ) }
Outer automorphisms :: reflexible
Dual of E26.1051
Graph:: simple bipartite
	v = 84 e = 140 f = 6
	degree seq :: [ 2^70, 10^14 ]

E26.1053 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 14, 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, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^5, Y1^14 * Y3^-1, (Y1^-1 * Y3^-1)^14 ]
Map::
	R = (1, 71, 2, 72, 6, 76, 14, 84, 24, 94, 34, 104, 44, 114, 54, 124, 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, 64, 134, 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, 70, 140, 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, 68, 138, 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, 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, 204)(55, 205)(56, 184)(57, 198)(58, 186)(59, 203)(60, 207)(61, 194)(62, 191)(63, 192)(64, 210)(65, 206)(66, 196)(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) :: { ( 10, 28 ), ( 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28, 10, 28 ) }
Outer automorphisms :: reflexible
Dual of E26.1050
Graph:: bipartite
	v = 71 e = 140 f = 19
	degree seq :: [ 2^70, 140 ]

E26.1054 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 14, 70})
Quotient :: dipole
Aut^+ = C70 (small group id <70, 4>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2, Y1^-1), (Y3^-1, Y2^-1), Y1^5, Y2^-14 * Y1, 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 ]
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, 67, 137, 59, 129)(53, 123, 57, 127, 65, 135, 68, 138, 62, 132)(58, 128, 66, 136, 70, 140, 69, 139, 63, 133)(141, 211, 143, 213, 149, 219, 158, 228, 168, 238, 178, 248, 188, 258, 198, 268, 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, 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, 208, 278, 201, 271, 191, 261, 181, 251, 171, 241, 161, 231, 151, 221, 160, 230, 170, 240, 180, 250, 190, 260, 200, 270, 207, 277, 209, 279, 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, 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, 203)(59, 207)(60, 194)(61, 195)(62, 208)(63, 209)(64, 196)(65, 197)(66, 198)(67, 204)(68, 205)(69, 210)(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, 28, 2, 28, 2, 28, 2, 28, 2, 28 ), ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28 ) }
Outer automorphisms :: reflexible
Dual of E26.1055
Graph:: bipartite
	v = 15 e = 140 f = 75
	degree seq :: [ 10^14, 140 ]

E26.1055 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 14, 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, Y1^-2 * Y3^2 * Y1^2 * Y3^-2, Y3^3 * Y1^-1 * Y3^-3 * Y1, Y1^-5 * Y3^-5, Y3^-10 * Y1^4, Y3^4 * Y1^-1 * Y3^6 * Y1^-3, Y1^14, (Y3 * Y2^-1)^70 ]
Map::
	R = (1, 71, 2, 72, 6, 76, 14, 84, 26, 96, 42, 112, 56, 126, 66, 136, 62, 132, 51, 121, 37, 107, 22, 92, 11, 81, 4, 74)(3, 73, 7, 77, 15, 85, 27, 97, 43, 113, 41, 111, 50, 120, 60, 130, 70, 140, 61, 131, 55, 125, 36, 106, 21, 91, 10, 80)(5, 75, 8, 78, 16, 86, 28, 98, 44, 114, 57, 127, 67, 137, 63, 133, 52, 122, 33, 103, 49, 119, 38, 108, 23, 93, 12, 82)(9, 79, 17, 87, 29, 99, 45, 115, 40, 110, 25, 95, 32, 102, 48, 118, 59, 129, 69, 139, 65, 135, 54, 124, 35, 105, 20, 90)(13, 83, 18, 88, 30, 100, 46, 116, 58, 128, 68, 138, 64, 134, 53, 123, 34, 104, 19, 89, 31, 101, 47, 117, 39, 109, 24, 94)(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, 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, 209)(62, 210)(63, 206)(64, 207)(65, 208)(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) :: { ( 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 E26.1054
Graph:: simple bipartite
	v = 75 e = 140 f = 15
	degree seq :: [ 2^70, 28^5 ]

E26.1056 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 9, 12})
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, T1^3 * T2^3, T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1, T2 * T1^-2 * T2^-1 * T1^-1 * T2 * T1^-1 * T2, T1^-3 * T2^6 ]
Map:: non-degenerate
	R = (1, 3, 10, 31, 64, 49, 18, 17, 5)(2, 7, 22, 13, 39, 61, 48, 26, 8)(4, 12, 37, 65, 52, 20, 6, 19, 14)(9, 28, 25, 34, 67, 56, 47, 62, 29)(11, 33, 53, 69, 38, 23, 27, 60, 35)(15, 43, 63, 30, 40, 24, 58, 68, 44)(16, 45, 66, 32, 50, 71, 42, 36, 46)(21, 54, 51, 57, 70, 41, 59, 72, 55)(73, 74, 78, 90, 120, 137, 103, 85, 76)(75, 81, 99, 89, 119, 141, 136, 106, 83)(77, 87, 114, 121, 130, 104, 82, 102, 88)(79, 93, 125, 98, 131, 107, 111, 129, 95)(80, 96, 101, 133, 135, 128, 94, 116, 97)(84, 108, 105, 91, 122, 132, 124, 117, 110)(86, 112, 123, 92, 115, 127, 109, 140, 113)(100, 126, 143, 134, 144, 138, 139, 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) :: { ( 24^9 ) }
Outer automorphisms :: reflexible
Dual of E26.1061
Transitivity :: ET+
Graph:: bipartite
	v = 16 e = 72 f = 6
	degree seq :: [ 9^16 ]

E26.1057 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 9, 12})
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, T2^2 * T1 * T2^2 * T1^2, T1^2 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1, T2^3 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, T1^2 * T2 * T1^-1 * T2 * T1^2 * T2^-1, T1^9 ]
Map:: non-degenerate
	R = (1, 3, 10, 30, 38, 66, 72, 49, 18, 47, 17, 5)(2, 7, 22, 39, 13, 37, 64, 68, 48, 61, 26, 8)(4, 12, 31, 63, 71, 62, 53, 20, 6, 19, 42, 14)(9, 28, 45, 51, 33, 41, 70, 36, 69, 44, 15, 29)(11, 32, 59, 24, 55, 21, 43, 60, 27, 46, 16, 34)(23, 56, 67, 52, 65, 50, 58, 40, 54, 35, 25, 57)(73, 74, 78, 90, 120, 143, 110, 85, 76)(75, 81, 99, 119, 141, 127, 138, 105, 83)(77, 87, 115, 121, 142, 131, 102, 117, 88)(79, 93, 126, 133, 104, 137, 109, 118, 95)(80, 96, 130, 140, 106, 139, 111, 132, 97)(82, 94, 114, 89, 98, 125, 144, 136, 103)(84, 107, 123, 91, 122, 101, 134, 128, 108)(86, 112, 100, 92, 124, 116, 135, 129, 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) :: { ( 18^9 ), ( 18^12 ) }
Outer automorphisms :: reflexible
Dual of E26.1059
Transitivity :: ET+
Graph:: bipartite
	v = 14 e = 72 f = 8
	degree seq :: [ 9^8, 12^6 ]

E26.1058 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 9, 12})
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^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2, T1 * T2^2 * T1^-1 * T2^-2, T1^2 * T2^-2 * T1 * T2^-2, T1^-2 * T2^-1 * T1^3 * T2 * T1^-1, T1^9, T2^12 ]
Map:: non-degenerate
	R = (1, 3, 10, 30, 18, 45, 70, 61, 35, 43, 17, 5)(2, 7, 22, 51, 44, 68, 63, 36, 13, 34, 26, 8)(4, 12, 31, 20, 6, 19, 47, 71, 60, 65, 39, 14)(9, 28, 56, 48, 69, 66, 41, 58, 32, 38, 15, 29)(11, 21, 40, 55, 27, 54, 72, 53, 67, 42, 16, 24)(23, 46, 52, 64, 50, 57, 62, 37, 59, 33, 25, 49)(73, 74, 78, 90, 116, 132, 107, 85, 76)(75, 81, 99, 117, 141, 139, 115, 104, 83)(77, 87, 112, 102, 128, 144, 133, 113, 88)(79, 93, 122, 140, 126, 131, 106, 114, 95)(80, 96, 124, 123, 127, 134, 108, 125, 97)(82, 94, 119, 142, 135, 111, 89, 98, 103)(84, 105, 120, 91, 118, 130, 137, 129, 101)(86, 109, 100, 92, 121, 138, 143, 136, 110)
	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) :: { ( 18^9 ), ( 18^12 ) }
Outer automorphisms :: reflexible
Dual of E26.1060
Transitivity :: ET+
Graph:: bipartite
	v = 14 e = 72 f = 8
	degree seq :: [ 9^8, 12^6 ]

E26.1059 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 9, 12})
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, T1^3 * T2^3, T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1, T2 * T1^-2 * T2^-1 * T1^-1 * T2 * T1^-1 * T2, T1^-3 * T2^6 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 31, 103, 64, 136, 49, 121, 18, 90, 17, 89, 5, 77)(2, 74, 7, 79, 22, 94, 13, 85, 39, 111, 61, 133, 48, 120, 26, 98, 8, 80)(4, 76, 12, 84, 37, 109, 65, 137, 52, 124, 20, 92, 6, 78, 19, 91, 14, 86)(9, 81, 28, 100, 25, 97, 34, 106, 67, 139, 56, 128, 47, 119, 62, 134, 29, 101)(11, 83, 33, 105, 53, 125, 69, 141, 38, 110, 23, 95, 27, 99, 60, 132, 35, 107)(15, 87, 43, 115, 63, 135, 30, 102, 40, 112, 24, 96, 58, 130, 68, 140, 44, 116)(16, 88, 45, 117, 66, 138, 32, 104, 50, 122, 71, 143, 42, 114, 36, 108, 46, 118)(21, 93, 54, 126, 51, 123, 57, 129, 70, 142, 41, 113, 59, 131, 72, 144, 55, 127)
	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, 112)(15, 114)(16, 77)(17, 119)(18, 120)(19, 122)(20, 115)(21, 125)(22, 116)(23, 79)(24, 101)(25, 80)(26, 131)(27, 89)(28, 126)(29, 133)(30, 88)(31, 85)(32, 82)(33, 91)(34, 83)(35, 111)(36, 105)(37, 140)(38, 84)(39, 129)(40, 123)(41, 86)(42, 121)(43, 127)(44, 97)(45, 110)(46, 100)(47, 141)(48, 137)(49, 130)(50, 132)(51, 92)(52, 117)(53, 98)(54, 143)(55, 109)(56, 94)(57, 95)(58, 104)(59, 107)(60, 124)(61, 135)(62, 144)(63, 128)(64, 106)(65, 103)(66, 139)(67, 142)(68, 113)(69, 136)(70, 118)(71, 134)(72, 138)
	local type(s) :: { ( 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12 ) }
Outer automorphisms :: reflexible
Dual of E26.1057
Transitivity :: ET+ VT+ AT
Graph::
	v = 8 e = 72 f = 14
	degree seq :: [ 18^8 ]

E26.1060 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 9, 12})
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, T1^3 * T2^3, T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-2, T1^-3 * T2^6, (T2^-1 * T1^-1)^12 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 31, 103, 64, 136, 49, 121, 18, 90, 17, 89, 5, 77)(2, 74, 7, 79, 22, 94, 13, 85, 39, 111, 70, 142, 48, 120, 26, 98, 8, 80)(4, 76, 12, 84, 37, 109, 65, 137, 53, 125, 20, 92, 6, 78, 19, 91, 14, 86)(9, 81, 28, 100, 58, 130, 34, 106, 59, 131, 25, 97, 47, 119, 63, 135, 29, 101)(11, 83, 33, 105, 23, 95, 56, 128, 50, 122, 61, 133, 27, 99, 38, 110, 35, 107)(15, 87, 43, 115, 24, 96, 30, 102, 51, 123, 55, 127, 66, 138, 40, 112, 44, 116)(16, 88, 45, 117, 67, 139, 32, 104, 36, 108, 62, 134, 42, 114, 69, 141, 46, 118)(21, 93, 54, 126, 68, 140, 57, 129, 72, 144, 52, 124, 60, 132, 71, 143, 41, 113)
	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, 112)(15, 114)(16, 77)(17, 119)(18, 120)(19, 117)(20, 123)(21, 107)(22, 127)(23, 79)(24, 130)(25, 80)(26, 132)(27, 89)(28, 126)(29, 94)(30, 88)(31, 85)(32, 82)(33, 125)(34, 83)(35, 98)(36, 122)(37, 115)(38, 84)(39, 129)(40, 124)(41, 86)(42, 121)(43, 113)(44, 101)(45, 105)(46, 131)(47, 128)(48, 137)(49, 138)(50, 91)(51, 140)(52, 92)(53, 141)(54, 139)(55, 97)(56, 136)(57, 95)(58, 142)(59, 144)(60, 133)(61, 111)(62, 100)(63, 143)(64, 106)(65, 103)(66, 104)(67, 135)(68, 109)(69, 110)(70, 116)(71, 118)(72, 134)
	local type(s) :: { ( 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12 ) }
Outer automorphisms :: reflexible
Dual of E26.1058
Transitivity :: ET+ VT+ AT
Graph::
	v = 8 e = 72 f = 14
	degree seq :: [ 18^8 ]

E26.1061 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 9, 12})
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, T2^2 * T1 * T2^2 * T1^2, T1^2 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1, T2^3 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, T1^2 * T2 * T1^-1 * T2 * T1^2 * T2^-1, T1^9 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 30, 102, 38, 110, 66, 138, 72, 144, 49, 121, 18, 90, 47, 119, 17, 89, 5, 77)(2, 74, 7, 79, 22, 94, 39, 111, 13, 85, 37, 109, 64, 136, 68, 140, 48, 120, 61, 133, 26, 98, 8, 80)(4, 76, 12, 84, 31, 103, 63, 135, 71, 143, 62, 134, 53, 125, 20, 92, 6, 78, 19, 91, 42, 114, 14, 86)(9, 81, 28, 100, 45, 117, 51, 123, 33, 105, 41, 113, 70, 142, 36, 108, 69, 141, 44, 116, 15, 87, 29, 101)(11, 83, 32, 104, 59, 131, 24, 96, 55, 127, 21, 93, 43, 115, 60, 132, 27, 99, 46, 118, 16, 88, 34, 106)(23, 95, 56, 128, 67, 139, 52, 124, 65, 137, 50, 122, 58, 130, 40, 112, 54, 126, 35, 107, 25, 97, 57, 129)
	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, 114)(23, 79)(24, 130)(25, 80)(26, 125)(27, 119)(28, 92)(29, 134)(30, 117)(31, 82)(32, 137)(33, 83)(34, 139)(35, 123)(36, 84)(37, 118)(38, 85)(39, 132)(40, 100)(41, 86)(42, 89)(43, 121)(44, 135)(45, 88)(46, 95)(47, 141)(48, 143)(49, 142)(50, 101)(51, 91)(52, 116)(53, 144)(54, 133)(55, 138)(56, 108)(57, 113)(58, 140)(59, 102)(60, 97)(61, 104)(62, 128)(63, 129)(64, 103)(65, 109)(66, 105)(67, 111)(68, 106)(69, 127)(70, 131)(71, 110)(72, 136)
	local type(s) :: { ( 9^24 ) }
Outer automorphisms :: reflexible
Dual of E26.1056
Transitivity :: ET+ VT+ AT
Graph::
	v = 6 e = 72 f = 16
	degree seq :: [ 24^6 ]

E26.1062 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 12})
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 * Y1, (R * Y3)^2, (R * Y1)^2, Y1^-2 * Y2^-3 * Y3, Y3^-1 * Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2^3 * Y1^3, Y2^-3 * Y1^-3, (R * Y2 * Y3^-1)^2, Y1^-2 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1, R * Y2^-2 * R * Y2^-1 * Y3 * Y2, Y2^-1 * Y3 * Y2 * Y1^-1 * Y2^2 * Y3^-1, Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-2, Y3 * Y2^-1 * Y1^2 * Y3^-1 * Y2 * Y1^-2, Y3^2 * Y2 * Y1 * Y3^-2 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2 * Y1^-1, Y2^-3 * Y1^6, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 48, 120, 65, 137, 31, 103, 13, 85, 4, 76)(3, 75, 9, 81, 27, 99, 17, 89, 47, 119, 56, 128, 64, 136, 34, 106, 11, 83)(5, 77, 15, 87, 42, 114, 49, 121, 66, 138, 32, 104, 10, 82, 30, 102, 16, 88)(7, 79, 21, 93, 35, 107, 26, 98, 60, 132, 61, 133, 39, 111, 57, 129, 23, 95)(8, 80, 24, 96, 58, 130, 70, 142, 44, 116, 29, 101, 22, 94, 55, 127, 25, 97)(12, 84, 36, 108, 50, 122, 19, 91, 45, 117, 33, 105, 53, 125, 69, 141, 38, 110)(14, 86, 40, 112, 52, 124, 20, 92, 51, 123, 68, 140, 37, 109, 43, 115, 41, 113)(28, 100, 54, 126, 67, 139, 63, 135, 71, 143, 46, 118, 59, 131, 72, 144, 62, 134)(145, 217, 147, 219, 154, 226, 175, 247, 208, 280, 193, 265, 162, 234, 161, 233, 149, 221)(146, 218, 151, 223, 166, 238, 157, 229, 183, 255, 214, 286, 192, 264, 170, 242, 152, 224)(148, 220, 156, 228, 181, 253, 209, 281, 197, 269, 164, 236, 150, 222, 163, 235, 158, 230)(153, 225, 172, 244, 202, 274, 178, 250, 203, 275, 169, 241, 191, 263, 207, 279, 173, 245)(155, 227, 177, 249, 167, 239, 200, 272, 194, 266, 205, 277, 171, 243, 182, 254, 179, 251)(159, 231, 187, 259, 168, 240, 174, 246, 195, 267, 199, 271, 210, 282, 184, 256, 188, 260)(160, 232, 189, 261, 211, 283, 176, 248, 180, 252, 206, 278, 186, 258, 213, 285, 190, 262)(165, 237, 198, 270, 212, 284, 201, 273, 216, 288, 196, 268, 204, 276, 215, 287, 185, 257)
	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, 175)(14, 185)(15, 149)(16, 174)(17, 171)(18, 150)(19, 194)(20, 196)(21, 151)(22, 173)(23, 201)(24, 152)(25, 199)(26, 179)(27, 153)(28, 206)(29, 188)(30, 154)(31, 209)(32, 210)(33, 189)(34, 208)(35, 165)(36, 156)(37, 212)(38, 213)(39, 205)(40, 158)(41, 187)(42, 159)(43, 181)(44, 214)(45, 163)(46, 215)(47, 161)(48, 162)(49, 186)(50, 180)(51, 164)(52, 184)(53, 177)(54, 172)(55, 166)(56, 191)(57, 183)(58, 168)(59, 190)(60, 170)(61, 204)(62, 216)(63, 211)(64, 200)(65, 192)(66, 193)(67, 198)(68, 195)(69, 197)(70, 202)(71, 207)(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) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E26.1067
Graph:: bipartite
	v = 16 e = 144 f = 78
	degree seq :: [ 18^16 ]

E26.1063 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 12})
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^-1 * Y2^-2 * Y1, Y1 * Y2^2 * Y1 * Y2^2 * Y1, Y1^2 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y2^3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y1^2 * Y2 * Y1^-1 * Y2 * Y1^2 * Y2^-1, Y1^9, (Y3^-1 * Y1^-1)^9 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 48, 120, 71, 143, 38, 110, 13, 85, 4, 76)(3, 75, 9, 81, 27, 99, 47, 119, 69, 141, 55, 127, 66, 138, 33, 105, 11, 83)(5, 77, 15, 87, 43, 115, 49, 121, 70, 142, 59, 131, 30, 102, 45, 117, 16, 88)(7, 79, 21, 93, 54, 126, 61, 133, 32, 104, 65, 137, 37, 109, 46, 118, 23, 95)(8, 80, 24, 96, 58, 130, 68, 140, 34, 106, 67, 139, 39, 111, 60, 132, 25, 97)(10, 82, 22, 94, 42, 114, 17, 89, 26, 98, 53, 125, 72, 144, 64, 136, 31, 103)(12, 84, 35, 107, 51, 123, 19, 91, 50, 122, 29, 101, 62, 134, 56, 128, 36, 108)(14, 86, 40, 112, 28, 100, 20, 92, 52, 124, 44, 116, 63, 135, 57, 129, 41, 113)(145, 217, 147, 219, 154, 226, 174, 246, 182, 254, 210, 282, 216, 288, 193, 265, 162, 234, 191, 263, 161, 233, 149, 221)(146, 218, 151, 223, 166, 238, 183, 255, 157, 229, 181, 253, 208, 280, 212, 284, 192, 264, 205, 277, 170, 242, 152, 224)(148, 220, 156, 228, 175, 247, 207, 279, 215, 287, 206, 278, 197, 269, 164, 236, 150, 222, 163, 235, 186, 258, 158, 230)(153, 225, 172, 244, 189, 261, 195, 267, 177, 249, 185, 257, 214, 286, 180, 252, 213, 285, 188, 260, 159, 231, 173, 245)(155, 227, 176, 248, 203, 275, 168, 240, 199, 271, 165, 237, 187, 259, 204, 276, 171, 243, 190, 262, 160, 232, 178, 250)(167, 239, 200, 272, 211, 283, 196, 268, 209, 281, 194, 266, 202, 274, 184, 256, 198, 270, 179, 251, 169, 241, 201, 273)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 172)(10, 174)(11, 176)(12, 175)(13, 181)(14, 148)(15, 173)(16, 178)(17, 149)(18, 191)(19, 186)(20, 150)(21, 187)(22, 183)(23, 200)(24, 199)(25, 201)(26, 152)(27, 190)(28, 189)(29, 153)(30, 182)(31, 207)(32, 203)(33, 185)(34, 155)(35, 169)(36, 213)(37, 208)(38, 210)(39, 157)(40, 198)(41, 214)(42, 158)(43, 204)(44, 159)(45, 195)(46, 160)(47, 161)(48, 205)(49, 162)(50, 202)(51, 177)(52, 209)(53, 164)(54, 179)(55, 165)(56, 211)(57, 167)(58, 184)(59, 168)(60, 171)(61, 170)(62, 197)(63, 215)(64, 212)(65, 194)(66, 216)(67, 196)(68, 192)(69, 188)(70, 180)(71, 206)(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) :: { ( 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 E26.1066
Graph:: bipartite
	v = 14 e = 144 f = 80
	degree seq :: [ 18^8, 24^6 ]

E26.1064 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 12})
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^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2, Y1^-1 * Y2^2 * Y1^-2 * Y2^2, Y1^9, Y2^12, (Y3^-1 * Y1^-1)^9 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 44, 116, 60, 132, 35, 107, 13, 85, 4, 76)(3, 75, 9, 81, 27, 99, 45, 117, 69, 141, 67, 139, 43, 115, 32, 104, 11, 83)(5, 77, 15, 87, 40, 112, 30, 102, 56, 128, 72, 144, 61, 133, 41, 113, 16, 88)(7, 79, 21, 93, 50, 122, 68, 140, 54, 126, 59, 131, 34, 106, 42, 114, 23, 95)(8, 80, 24, 96, 52, 124, 51, 123, 55, 127, 62, 134, 36, 108, 53, 125, 25, 97)(10, 82, 22, 94, 47, 119, 70, 142, 63, 135, 39, 111, 17, 89, 26, 98, 31, 103)(12, 84, 33, 105, 48, 120, 19, 91, 46, 118, 58, 130, 65, 137, 57, 129, 29, 101)(14, 86, 37, 109, 28, 100, 20, 92, 49, 121, 66, 138, 71, 143, 64, 136, 38, 110)(145, 217, 147, 219, 154, 226, 174, 246, 162, 234, 189, 261, 214, 286, 205, 277, 179, 251, 187, 259, 161, 233, 149, 221)(146, 218, 151, 223, 166, 238, 195, 267, 188, 260, 212, 284, 207, 279, 180, 252, 157, 229, 178, 250, 170, 242, 152, 224)(148, 220, 156, 228, 175, 247, 164, 236, 150, 222, 163, 235, 191, 263, 215, 287, 204, 276, 209, 281, 183, 255, 158, 230)(153, 225, 172, 244, 200, 272, 192, 264, 213, 285, 210, 282, 185, 257, 202, 274, 176, 248, 182, 254, 159, 231, 173, 245)(155, 227, 165, 237, 184, 256, 199, 271, 171, 243, 198, 270, 216, 288, 197, 269, 211, 283, 186, 258, 160, 232, 168, 240)(167, 239, 190, 262, 196, 268, 208, 280, 194, 266, 201, 273, 206, 278, 181, 253, 203, 275, 177, 249, 169, 241, 193, 265)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 172)(10, 174)(11, 165)(12, 175)(13, 178)(14, 148)(15, 173)(16, 168)(17, 149)(18, 189)(19, 191)(20, 150)(21, 184)(22, 195)(23, 190)(24, 155)(25, 193)(26, 152)(27, 198)(28, 200)(29, 153)(30, 162)(31, 164)(32, 182)(33, 169)(34, 170)(35, 187)(36, 157)(37, 203)(38, 159)(39, 158)(40, 199)(41, 202)(42, 160)(43, 161)(44, 212)(45, 214)(46, 196)(47, 215)(48, 213)(49, 167)(50, 201)(51, 188)(52, 208)(53, 211)(54, 216)(55, 171)(56, 192)(57, 206)(58, 176)(59, 177)(60, 209)(61, 179)(62, 181)(63, 180)(64, 194)(65, 183)(66, 185)(67, 186)(68, 207)(69, 210)(70, 205)(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) :: { ( 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 E26.1065
Graph:: bipartite
	v = 14 e = 144 f = 80
	degree seq :: [ 18^8, 24^6 ]

E26.1065 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 12})
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, Y3^-2 * Y2^-1 * Y3^2 * Y2, Y3^-2 * Y2 * Y3^-2 * Y2^2, Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-2 * Y3^-1, Y2^-1 * Y3^-3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y3 * Y2 * R * Y2^2 * R * Y2^-2, Y2^9, (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, 192, 264, 212, 284, 182, 254, 157, 229, 148, 220)(147, 219, 153, 225, 171, 243, 193, 265, 211, 283, 199, 271, 191, 263, 177, 249, 155, 227)(149, 221, 159, 231, 187, 259, 174, 246, 207, 279, 200, 272, 213, 285, 189, 261, 160, 232)(151, 223, 165, 237, 198, 270, 210, 282, 178, 250, 209, 281, 181, 253, 202, 274, 167, 239)(152, 224, 168, 240, 204, 276, 201, 273, 190, 262, 214, 286, 183, 255, 176, 248, 169, 241)(154, 226, 166, 238, 195, 267, 216, 288, 215, 287, 186, 258, 161, 233, 170, 242, 175, 247)(156, 228, 179, 251, 188, 260, 163, 235, 194, 266, 172, 244, 206, 278, 203, 275, 180, 252)(158, 230, 184, 256, 197, 269, 164, 236, 196, 268, 173, 245, 208, 280, 205, 277, 185, 257)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 172)(10, 174)(11, 176)(12, 175)(13, 181)(14, 148)(15, 173)(16, 178)(17, 149)(18, 193)(19, 195)(20, 150)(21, 199)(22, 201)(23, 184)(24, 200)(25, 203)(26, 152)(27, 168)(28, 207)(29, 153)(30, 162)(31, 164)(32, 187)(33, 188)(34, 155)(35, 198)(36, 189)(37, 170)(38, 191)(39, 157)(40, 204)(41, 211)(42, 158)(43, 202)(44, 159)(45, 197)(46, 160)(47, 161)(48, 210)(49, 216)(50, 209)(51, 208)(52, 214)(53, 177)(54, 196)(55, 190)(56, 165)(57, 192)(58, 171)(59, 167)(60, 179)(61, 169)(62, 186)(63, 185)(64, 212)(65, 205)(66, 215)(67, 180)(68, 206)(69, 182)(70, 194)(71, 183)(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) :: { ( 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 E26.1064
Graph:: simple bipartite
	v = 80 e = 144 f = 14
	degree seq :: [ 2^72, 18^8 ]

E26.1066 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 12})
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, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3^2 * Y2 * Y3^-2 * Y2^-1, Y2^-2 * Y3^-2 * Y2^-1 * Y3^-2, Y2^9, (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, 209, 281, 180, 252, 157, 229, 148, 220)(147, 219, 153, 225, 171, 243, 187, 259, 211, 283, 216, 288, 205, 277, 177, 249, 155, 227)(149, 221, 159, 231, 184, 256, 189, 261, 213, 285, 201, 273, 174, 246, 186, 258, 160, 232)(151, 223, 165, 237, 194, 266, 197, 269, 198, 270, 207, 279, 179, 251, 195, 267, 167, 239)(152, 224, 168, 240, 196, 268, 212, 284, 210, 282, 208, 280, 181, 253, 176, 248, 169, 241)(154, 226, 166, 238, 183, 255, 161, 233, 170, 242, 193, 265, 214, 286, 203, 275, 175, 247)(156, 228, 178, 250, 185, 257, 163, 235, 190, 262, 204, 276, 215, 287, 199, 271, 172, 244)(158, 230, 182, 254, 192, 264, 164, 236, 191, 263, 206, 278, 202, 274, 200, 272, 173, 245)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 172)(10, 174)(11, 176)(12, 175)(13, 179)(14, 148)(15, 173)(16, 165)(17, 149)(18, 187)(19, 183)(20, 150)(21, 155)(22, 181)(23, 182)(24, 160)(25, 190)(26, 152)(27, 168)(28, 186)(29, 153)(30, 180)(31, 202)(32, 201)(33, 204)(34, 207)(35, 203)(36, 205)(37, 157)(38, 208)(39, 158)(40, 198)(41, 159)(42, 206)(43, 161)(44, 197)(45, 162)(46, 167)(47, 169)(48, 211)(49, 164)(50, 191)(51, 216)(52, 199)(53, 170)(54, 171)(55, 194)(56, 196)(57, 195)(58, 209)(59, 212)(60, 213)(61, 214)(62, 177)(63, 200)(64, 178)(65, 215)(66, 184)(67, 185)(68, 188)(69, 192)(70, 189)(71, 193)(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, 24 ), ( 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24 ) }
Outer automorphisms :: reflexible
Dual of E26.1063
Graph:: simple bipartite
	v = 80 e = 144 f = 14
	degree seq :: [ 2^72, 18^8 ]

E26.1067 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 12})
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 * Y1^2 * Y3^-1, Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1, Y3 * Y1 * Y3^-2 * Y1 * Y3 * Y1, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-3 * Y3, Y3^2 * Y1 * Y3^-1 * Y1 * Y3^2 * Y1^-1, Y1^12, (Y3 * Y2^-1)^9 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 47, 119, 59, 131, 72, 144, 65, 137, 30, 102, 37, 109, 13, 85, 4, 76)(3, 75, 9, 81, 19, 91, 46, 118, 17, 89, 45, 117, 50, 122, 57, 129, 64, 136, 55, 127, 33, 105, 11, 83)(5, 77, 15, 87, 20, 92, 49, 121, 71, 143, 52, 124, 67, 139, 31, 103, 10, 82, 29, 101, 38, 110, 16, 88)(7, 79, 21, 93, 40, 112, 58, 130, 26, 98, 44, 116, 70, 142, 42, 114, 69, 141, 36, 108, 12, 84, 23, 95)(8, 80, 24, 96, 48, 120, 32, 104, 61, 133, 27, 99, 35, 107, 51, 123, 22, 94, 39, 111, 14, 86, 25, 97)(28, 100, 62, 134, 56, 128, 66, 138, 54, 126, 53, 125, 68, 140, 43, 115, 60, 132, 41, 113, 34, 106, 63, 135)(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, 184)(19, 182)(20, 150)(21, 175)(22, 181)(23, 196)(24, 198)(25, 200)(26, 152)(27, 204)(28, 153)(29, 197)(30, 208)(31, 210)(32, 212)(33, 211)(34, 155)(35, 209)(36, 193)(37, 213)(38, 157)(39, 172)(40, 158)(41, 202)(42, 159)(43, 165)(44, 160)(45, 183)(46, 195)(47, 161)(48, 162)(49, 207)(50, 164)(51, 178)(52, 206)(53, 167)(54, 189)(55, 168)(56, 190)(57, 169)(58, 173)(59, 170)(60, 199)(61, 203)(62, 186)(63, 188)(64, 215)(65, 214)(66, 180)(67, 216)(68, 201)(69, 205)(70, 192)(71, 191)(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) :: { ( 18, 18 ), ( 18^24 ) }
Outer automorphisms :: reflexible
Dual of E26.1062
Graph:: simple bipartite
	v = 78 e = 144 f = 16
	degree seq :: [ 2^72, 24^6 ]

E26.1068 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 18})
Quotient :: dipole
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y3^-2, (Y1 * Y2)^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1 * Y1)^18 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 6, 78)(4, 76, 9, 81)(5, 77, 10, 82)(7, 79, 11, 83)(8, 80, 12, 84)(13, 85, 17, 89)(14, 86, 18, 90)(15, 87, 19, 91)(16, 88, 20, 92)(21, 93, 25, 97)(22, 94, 26, 98)(23, 95, 27, 99)(24, 96, 28, 100)(29, 101, 33, 105)(30, 102, 34, 106)(31, 103, 53, 125)(32, 104, 55, 127)(35, 107, 57, 129)(36, 108, 59, 131)(37, 109, 61, 133)(38, 110, 63, 135)(39, 111, 66, 138)(40, 112, 64, 136)(41, 113, 69, 141)(42, 114, 71, 143)(43, 115, 72, 144)(44, 116, 70, 142)(45, 117, 67, 139)(46, 118, 65, 137)(47, 119, 58, 130)(48, 120, 62, 134)(49, 121, 60, 132)(50, 122, 68, 140)(51, 123, 56, 128)(52, 124, 54, 126)(145, 217, 147, 219)(146, 218, 150, 222)(148, 220, 149, 221)(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, 181, 253)(180, 252, 184, 256)(182, 254, 183, 255)(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, 199, 271)(198, 270, 200, 272)(201, 273, 205, 277)(202, 274, 206, 278)(203, 275, 208, 280)(204, 276, 212, 284)(207, 279, 210, 282)(209, 281, 211, 283)(213, 285, 215, 287)(214, 286, 216, 288)
	L = (1, 148)(2, 151)(3, 149)(4, 147)(5, 145)(6, 152)(7, 150)(8, 146)(9, 157)(10, 158)(11, 159)(12, 160)(13, 154)(14, 153)(15, 156)(16, 155)(17, 165)(18, 166)(19, 167)(20, 168)(21, 162)(22, 161)(23, 164)(24, 163)(25, 173)(26, 174)(27, 175)(28, 176)(29, 170)(30, 169)(31, 172)(32, 171)(33, 180)(34, 184)(35, 199)(36, 178)(37, 197)(38, 208)(39, 203)(40, 177)(41, 205)(42, 201)(43, 210)(44, 207)(45, 215)(46, 213)(47, 214)(48, 216)(49, 209)(50, 211)(51, 206)(52, 202)(53, 179)(54, 212)(55, 181)(56, 204)(57, 185)(58, 195)(59, 182)(60, 198)(61, 186)(62, 196)(63, 187)(64, 183)(65, 194)(66, 188)(67, 193)(68, 200)(69, 189)(70, 192)(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) :: { ( 8, 36, 8, 36 ) }
Outer automorphisms :: reflexible
Dual of E26.1079
Graph:: simple bipartite
	v = 72 e = 144 f = 22
	degree seq :: [ 4^72 ]

E26.1069 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 18})
Quotient :: dipole
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, Y1 * Y2 * Y1 * Y3 * Y2 * Y3, (Y3 * Y2)^4, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 7, 79)(4, 76, 9, 81)(5, 77, 11, 83)(6, 78, 13, 85)(8, 80, 16, 88)(10, 82, 19, 91)(12, 84, 21, 93)(14, 86, 24, 96)(15, 87, 20, 92)(17, 89, 26, 98)(18, 90, 27, 99)(22, 94, 30, 102)(23, 95, 31, 103)(25, 97, 33, 105)(28, 100, 36, 108)(29, 101, 37, 109)(32, 104, 40, 112)(34, 106, 42, 114)(35, 107, 43, 115)(38, 110, 46, 118)(39, 111, 47, 119)(41, 113, 49, 121)(44, 116, 52, 124)(45, 117, 53, 125)(48, 120, 56, 128)(50, 122, 58, 130)(51, 123, 59, 131)(54, 126, 62, 134)(55, 127, 63, 135)(57, 129, 65, 137)(60, 132, 68, 140)(61, 133, 69, 141)(64, 136, 72, 144)(66, 138, 71, 143)(67, 139, 70, 142)(145, 217, 147, 219)(146, 218, 149, 221)(148, 220, 154, 226)(150, 222, 158, 230)(151, 223, 159, 231)(152, 224, 161, 233)(153, 225, 160, 232)(155, 227, 164, 236)(156, 228, 166, 238)(157, 229, 165, 237)(162, 234, 172, 244)(163, 235, 170, 242)(167, 239, 176, 248)(168, 240, 174, 246)(169, 241, 178, 250)(171, 243, 177, 249)(173, 245, 182, 254)(175, 247, 181, 253)(179, 251, 188, 260)(180, 252, 186, 258)(183, 255, 192, 264)(184, 256, 190, 262)(185, 257, 194, 266)(187, 259, 193, 265)(189, 261, 198, 270)(191, 263, 197, 269)(195, 267, 204, 276)(196, 268, 202, 274)(199, 271, 208, 280)(200, 272, 206, 278)(201, 273, 210, 282)(203, 275, 209, 281)(205, 277, 214, 286)(207, 279, 213, 285)(211, 283, 216, 288)(212, 284, 215, 287)
	L = (1, 148)(2, 150)(3, 152)(4, 145)(5, 156)(6, 146)(7, 158)(8, 147)(9, 162)(10, 155)(11, 154)(12, 149)(13, 167)(14, 151)(15, 166)(16, 169)(17, 164)(18, 153)(19, 172)(20, 161)(21, 173)(22, 159)(23, 157)(24, 176)(25, 160)(26, 178)(27, 179)(28, 163)(29, 165)(30, 182)(31, 183)(32, 168)(33, 185)(34, 170)(35, 171)(36, 188)(37, 189)(38, 174)(39, 175)(40, 192)(41, 177)(42, 194)(43, 195)(44, 180)(45, 181)(46, 198)(47, 199)(48, 184)(49, 201)(50, 186)(51, 187)(52, 204)(53, 205)(54, 190)(55, 191)(56, 208)(57, 193)(58, 210)(59, 211)(60, 196)(61, 197)(62, 214)(63, 215)(64, 200)(65, 213)(66, 202)(67, 203)(68, 216)(69, 209)(70, 206)(71, 207)(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) :: { ( 8, 36, 8, 36 ) }
Outer automorphisms :: reflexible
Dual of E26.1078
Graph:: simple bipartite
	v = 72 e = 144 f = 22
	degree seq :: [ 4^72 ]

E26.1070 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 18})
Quotient :: dipole
Aut^+ = D72 (small group id <72, 6>)
Aut   = C2 x D72 (small group id <144, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (Y2 * Y1)^2, Y2^4, 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 * Y2^-1 * 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, 73, 2, 74)(3, 75, 9, 81)(4, 76, 10, 82)(5, 77, 7, 79)(6, 78, 8, 80)(11, 83, 18, 90)(12, 84, 23, 95)(13, 85, 22, 94)(14, 86, 24, 96)(15, 87, 20, 92)(16, 88, 19, 91)(17, 89, 21, 93)(25, 97, 34, 106)(26, 98, 33, 105)(27, 99, 39, 111)(28, 100, 38, 110)(29, 101, 40, 112)(30, 102, 36, 108)(31, 103, 35, 107)(32, 104, 37, 109)(41, 113, 50, 122)(42, 114, 49, 121)(43, 115, 55, 127)(44, 116, 54, 126)(45, 117, 56, 128)(46, 118, 52, 124)(47, 119, 51, 123)(48, 120, 53, 125)(57, 129, 64, 136)(58, 130, 63, 135)(59, 131, 67, 139)(60, 132, 68, 140)(61, 133, 65, 137)(62, 134, 66, 138)(69, 141, 72, 144)(70, 142, 71, 143)(145, 217, 147, 219, 155, 227, 149, 221)(146, 218, 151, 223, 162, 234, 153, 225)(148, 220, 156, 228, 169, 241, 159, 231)(150, 222, 157, 229, 170, 242, 160, 232)(152, 224, 163, 235, 177, 249, 166, 238)(154, 226, 164, 236, 178, 250, 167, 239)(158, 230, 171, 243, 185, 257, 174, 246)(161, 233, 172, 244, 186, 258, 175, 247)(165, 237, 179, 251, 193, 265, 182, 254)(168, 240, 180, 252, 194, 266, 183, 255)(173, 245, 187, 259, 201, 273, 190, 262)(176, 248, 188, 260, 202, 274, 191, 263)(181, 253, 195, 267, 207, 279, 198, 270)(184, 256, 196, 268, 208, 280, 199, 271)(189, 261, 203, 275, 213, 285, 206, 278)(192, 264, 204, 276, 214, 286, 205, 277)(197, 269, 209, 281, 215, 287, 212, 284)(200, 272, 210, 282, 216, 288, 211, 283)
	L = (1, 148)(2, 152)(3, 156)(4, 158)(5, 159)(6, 145)(7, 163)(8, 165)(9, 166)(10, 146)(11, 169)(12, 171)(13, 147)(14, 173)(15, 174)(16, 149)(17, 150)(18, 177)(19, 179)(20, 151)(21, 181)(22, 182)(23, 153)(24, 154)(25, 185)(26, 155)(27, 187)(28, 157)(29, 189)(30, 190)(31, 160)(32, 161)(33, 193)(34, 162)(35, 195)(36, 164)(37, 197)(38, 198)(39, 167)(40, 168)(41, 201)(42, 170)(43, 203)(44, 172)(45, 205)(46, 206)(47, 175)(48, 176)(49, 207)(50, 178)(51, 209)(52, 180)(53, 211)(54, 212)(55, 183)(56, 184)(57, 213)(58, 186)(59, 192)(60, 188)(61, 191)(62, 214)(63, 215)(64, 194)(65, 200)(66, 196)(67, 199)(68, 216)(69, 204)(70, 202)(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) :: { ( 4, 36, 4, 36 ), ( 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E26.1074
Graph:: simple bipartite
	v = 54 e = 144 f = 40
	degree seq :: [ 4^36, 8^18 ]

E26.1071 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 18})
Quotient :: dipole
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2 * Y1 * Y2, (R * Y3)^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y3 * Y2^-1)^18 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 5, 77)(4, 76, 6, 78)(7, 79, 10, 82)(8, 80, 9, 81)(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, 39, 111)(38, 110, 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, 55, 127)(54, 126, 56, 128)(57, 129, 59, 131)(58, 130, 60, 132)(61, 133, 64, 136)(62, 134, 66, 138)(63, 135, 67, 139)(65, 137, 68, 140)(69, 141, 71, 143)(70, 142, 72, 144)(145, 217, 147, 219, 146, 218, 149, 221)(148, 220, 152, 224, 150, 222, 153, 225)(151, 223, 155, 227, 154, 226, 156, 228)(157, 229, 161, 233, 158, 230, 162, 234)(159, 231, 163, 235, 160, 232, 164, 236)(165, 237, 169, 241, 166, 238, 170, 242)(167, 239, 171, 243, 168, 240, 172, 244)(173, 245, 177, 249, 174, 246, 178, 250)(175, 247, 182, 254, 176, 248, 184, 256)(179, 251, 199, 271, 180, 252, 197, 269)(181, 253, 205, 277, 183, 255, 208, 280)(185, 257, 203, 275, 186, 258, 201, 273)(187, 259, 210, 282, 188, 260, 206, 278)(189, 261, 215, 287, 190, 262, 213, 285)(191, 263, 214, 286, 192, 264, 216, 288)(193, 265, 207, 279, 194, 266, 211, 283)(195, 267, 204, 276, 196, 268, 202, 274)(198, 270, 212, 284, 200, 272, 209, 281)
	L = (1, 148)(2, 150)(3, 151)(4, 145)(5, 154)(6, 146)(7, 147)(8, 157)(9, 158)(10, 149)(11, 159)(12, 160)(13, 152)(14, 153)(15, 155)(16, 156)(17, 165)(18, 166)(19, 167)(20, 168)(21, 161)(22, 162)(23, 163)(24, 164)(25, 173)(26, 174)(27, 175)(28, 176)(29, 169)(30, 170)(31, 171)(32, 172)(33, 197)(34, 199)(35, 201)(36, 203)(37, 206)(38, 208)(39, 210)(40, 205)(41, 213)(42, 215)(43, 216)(44, 214)(45, 211)(46, 207)(47, 202)(48, 204)(49, 209)(50, 212)(51, 200)(52, 198)(53, 177)(54, 196)(55, 178)(56, 195)(57, 179)(58, 191)(59, 180)(60, 192)(61, 184)(62, 181)(63, 190)(64, 182)(65, 193)(66, 183)(67, 189)(68, 194)(69, 185)(70, 188)(71, 186)(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, 36, 4, 36 ), ( 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E26.1076
Graph:: bipartite
	v = 54 e = 144 f = 40
	degree seq :: [ 4^36, 8^18 ]

E26.1072 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 18})
Quotient :: dipole
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, Y2^-2 * Y3 * Y1, Y2^-1 * Y1 * Y3 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, Y2^-1 * Y3 * 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 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 7, 79)(5, 77, 10, 82)(6, 78, 11, 83)(8, 80, 12, 84)(13, 85, 17, 89)(14, 86, 18, 90)(15, 87, 19, 91)(16, 88, 20, 92)(21, 93, 25, 97)(22, 94, 26, 98)(23, 95, 27, 99)(24, 96, 28, 100)(29, 101, 33, 105)(30, 102, 34, 106)(31, 103, 51, 123)(32, 104, 52, 124)(35, 107, 55, 127)(36, 108, 57, 129)(37, 109, 58, 130)(38, 110, 56, 128)(39, 111, 59, 131)(40, 112, 60, 132)(41, 113, 61, 133)(42, 114, 62, 134)(43, 115, 63, 135)(44, 116, 64, 136)(45, 117, 65, 137)(46, 118, 66, 138)(47, 119, 67, 139)(48, 120, 68, 140)(49, 121, 69, 141)(50, 122, 70, 142)(53, 125, 72, 144)(54, 126, 71, 143)(145, 217, 147, 219, 151, 223, 149, 221)(146, 218, 150, 222, 148, 220, 152, 224)(153, 225, 157, 229, 154, 226, 158, 230)(155, 227, 159, 231, 156, 228, 160, 232)(161, 233, 165, 237, 162, 234, 166, 238)(163, 235, 167, 239, 164, 236, 168, 240)(169, 241, 173, 245, 170, 242, 174, 246)(171, 243, 175, 247, 172, 244, 176, 248)(177, 249, 179, 251, 178, 250, 182, 254)(180, 252, 196, 268, 181, 253, 195, 267)(183, 255, 200, 272, 184, 256, 199, 271)(185, 257, 202, 274, 186, 258, 201, 273)(187, 259, 204, 276, 188, 260, 203, 275)(189, 261, 206, 278, 190, 262, 205, 277)(191, 263, 208, 280, 192, 264, 207, 279)(193, 265, 210, 282, 194, 266, 209, 281)(197, 269, 212, 284, 198, 270, 211, 283)(213, 285, 215, 287, 214, 286, 216, 288)
	L = (1, 148)(2, 151)(3, 154)(4, 145)(5, 153)(6, 156)(7, 146)(8, 155)(9, 149)(10, 147)(11, 152)(12, 150)(13, 162)(14, 161)(15, 164)(16, 163)(17, 158)(18, 157)(19, 160)(20, 159)(21, 170)(22, 169)(23, 172)(24, 171)(25, 166)(26, 165)(27, 168)(28, 167)(29, 178)(30, 177)(31, 196)(32, 195)(33, 174)(34, 173)(35, 200)(36, 202)(37, 201)(38, 199)(39, 204)(40, 203)(41, 206)(42, 205)(43, 208)(44, 207)(45, 210)(46, 209)(47, 212)(48, 211)(49, 214)(50, 213)(51, 176)(52, 175)(53, 215)(54, 216)(55, 182)(56, 179)(57, 181)(58, 180)(59, 184)(60, 183)(61, 186)(62, 185)(63, 188)(64, 187)(65, 190)(66, 189)(67, 192)(68, 191)(69, 194)(70, 193)(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) :: { ( 4, 36, 4, 36 ), ( 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E26.1075
Graph:: bipartite
	v = 54 e = 144 f = 40
	degree seq :: [ 4^36, 8^18 ]

E26.1073 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 18})
Quotient :: dipole
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^2 * Y2^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y3^2 * Y2^-2, (Y2^-1 * Y1)^2, Y2^-1 * R * Y3^2 * R * Y2^-1, R * Y2 * Y3 * R * Y2^-1 * Y3^-1, (Y3^-1 * Y2^-1)^9, (Y3^-1 * Y2)^18 ]
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, 16, 88)(12, 84, 17, 89)(13, 85, 18, 90)(14, 86, 19, 91)(15, 87, 20, 92)(21, 93, 26, 98)(22, 94, 25, 97)(23, 95, 28, 100)(24, 96, 27, 99)(29, 101, 33, 105)(30, 102, 34, 106)(31, 103, 35, 107)(32, 104, 36, 108)(37, 109, 42, 114)(38, 110, 41, 113)(39, 111, 44, 116)(40, 112, 43, 115)(45, 117, 49, 121)(46, 118, 50, 122)(47, 119, 51, 123)(48, 120, 52, 124)(53, 125, 58, 130)(54, 126, 57, 129)(55, 127, 60, 132)(56, 128, 59, 131)(61, 133, 65, 137)(62, 134, 66, 138)(63, 135, 67, 139)(64, 136, 68, 140)(69, 141, 72, 144)(70, 142, 71, 143)(145, 217, 147, 219, 155, 227, 149, 221)(146, 218, 151, 223, 160, 232, 153, 225)(148, 220, 158, 230, 150, 222, 159, 231)(152, 224, 163, 235, 154, 226, 164, 236)(156, 228, 165, 237, 157, 229, 166, 238)(161, 233, 169, 241, 162, 234, 170, 242)(167, 239, 175, 247, 168, 240, 176, 248)(171, 243, 179, 251, 172, 244, 180, 252)(173, 245, 181, 253, 174, 246, 182, 254)(177, 249, 185, 257, 178, 250, 186, 258)(183, 255, 191, 263, 184, 256, 192, 264)(187, 259, 195, 267, 188, 260, 196, 268)(189, 261, 197, 269, 190, 262, 198, 270)(193, 265, 201, 273, 194, 266, 202, 274)(199, 271, 207, 279, 200, 272, 208, 280)(203, 275, 211, 283, 204, 276, 212, 284)(205, 277, 213, 285, 206, 278, 214, 286)(209, 281, 215, 287, 210, 282, 216, 288)
	L = (1, 148)(2, 152)(3, 156)(4, 155)(5, 157)(6, 145)(7, 161)(8, 160)(9, 162)(10, 146)(11, 150)(12, 149)(13, 147)(14, 167)(15, 168)(16, 154)(17, 153)(18, 151)(19, 171)(20, 172)(21, 173)(22, 174)(23, 159)(24, 158)(25, 177)(26, 178)(27, 164)(28, 163)(29, 166)(30, 165)(31, 183)(32, 184)(33, 170)(34, 169)(35, 187)(36, 188)(37, 189)(38, 190)(39, 176)(40, 175)(41, 193)(42, 194)(43, 180)(44, 179)(45, 182)(46, 181)(47, 199)(48, 200)(49, 186)(50, 185)(51, 203)(52, 204)(53, 205)(54, 206)(55, 192)(56, 191)(57, 209)(58, 210)(59, 196)(60, 195)(61, 198)(62, 197)(63, 214)(64, 213)(65, 202)(66, 201)(67, 216)(68, 215)(69, 207)(70, 208)(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, 36, 4, 36 ), ( 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E26.1077
Graph:: simple bipartite
	v = 54 e = 144 f = 40
	degree seq :: [ 4^36, 8^18 ]

E26.1074 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 18})
Quotient :: dipole
Aut^+ = D72 (small group id <72, 6>)
Aut   = C2 x D72 (small group id <144, 39>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (Y3, Y1^-1), (R * Y1)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-3 * Y1^-1 * Y3^-1 * Y1^-3, Y1^6 * Y3^-1 * Y1 * Y3^-1, Y1 * Y3^-1 * Y1 * Y3^-2 * Y1 * Y3^-3 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 7, 79, 19, 91, 39, 111, 60, 132, 33, 105, 14, 86, 25, 97, 45, 117, 37, 109, 18, 90, 26, 98, 46, 118, 58, 130, 35, 107, 16, 88, 5, 77)(3, 75, 11, 83, 27, 99, 51, 123, 69, 141, 65, 137, 47, 119, 30, 102, 54, 126, 66, 138, 48, 120, 31, 103, 55, 127, 71, 143, 62, 134, 40, 112, 20, 92, 8, 80)(4, 76, 9, 81, 21, 93, 41, 113, 38, 110, 50, 122, 59, 131, 32, 104, 49, 121, 36, 108, 17, 89, 6, 78, 10, 82, 22, 94, 42, 114, 61, 133, 34, 106, 15, 87)(12, 84, 28, 100, 52, 124, 68, 140, 57, 129, 72, 144, 67, 139, 56, 128, 64, 136, 44, 116, 24, 96, 13, 85, 29, 101, 53, 125, 70, 142, 63, 135, 43, 115, 23, 95)(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, 184, 256)(165, 237, 188, 260)(166, 238, 187, 259)(169, 241, 192, 264)(170, 242, 191, 263)(176, 248, 201, 273)(177, 249, 199, 271)(178, 250, 197, 269)(179, 251, 195, 267)(180, 252, 196, 268)(181, 253, 198, 270)(182, 254, 200, 272)(183, 255, 206, 278)(185, 257, 208, 280)(186, 258, 207, 279)(189, 261, 210, 282)(190, 262, 209, 281)(193, 265, 212, 284)(194, 266, 211, 283)(202, 274, 213, 285)(203, 275, 216, 288)(204, 276, 215, 287)(205, 277, 214, 286)
	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, 176)(15, 177)(16, 178)(17, 149)(18, 150)(19, 185)(20, 187)(21, 189)(22, 151)(23, 191)(24, 152)(25, 193)(26, 154)(27, 196)(28, 198)(29, 155)(30, 200)(31, 157)(32, 202)(33, 203)(34, 204)(35, 205)(36, 160)(37, 161)(38, 162)(39, 182)(40, 207)(41, 181)(42, 163)(43, 209)(44, 164)(45, 180)(46, 166)(47, 211)(48, 168)(49, 179)(50, 170)(51, 212)(52, 210)(53, 171)(54, 208)(55, 173)(56, 206)(57, 175)(58, 186)(59, 190)(60, 194)(61, 183)(62, 214)(63, 213)(64, 184)(65, 216)(66, 188)(67, 215)(68, 192)(69, 201)(70, 195)(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, 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 E26.1070
Graph:: simple bipartite
	v = 40 e = 144 f = 54
	degree seq :: [ 4^36, 36^4 ]

E26.1075 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 18})
Quotient :: dipole
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2 * Y1 * Y2, (Y3 * Y2)^2, Y3 * Y2 * Y1 * Y3 * Y1, Y1^18 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 6, 78, 15, 87, 23, 95, 31, 103, 39, 111, 47, 119, 55, 127, 63, 135, 62, 134, 54, 126, 46, 118, 38, 110, 30, 102, 22, 94, 14, 86, 5, 77)(3, 75, 7, 79, 16, 88, 24, 96, 32, 104, 40, 112, 48, 120, 56, 128, 64, 136, 70, 142, 67, 139, 59, 131, 51, 123, 43, 115, 35, 107, 27, 99, 19, 91, 10, 82)(4, 76, 11, 83, 20, 92, 28, 100, 36, 108, 44, 116, 52, 124, 60, 132, 68, 140, 72, 144, 65, 137, 58, 130, 49, 121, 42, 114, 33, 105, 26, 98, 17, 89, 12, 84)(8, 80, 9, 81, 13, 85, 21, 93, 29, 101, 37, 109, 45, 117, 53, 125, 61, 133, 69, 141, 71, 143, 66, 138, 57, 129, 50, 122, 41, 113, 34, 106, 25, 97, 18, 90)(145, 217, 147, 219)(146, 218, 151, 223)(148, 220, 153, 225)(149, 221, 154, 226)(150, 222, 160, 232)(152, 224, 156, 228)(155, 227, 157, 229)(158, 230, 163, 235)(159, 231, 168, 240)(161, 233, 162, 234)(164, 236, 165, 237)(166, 238, 171, 243)(167, 239, 176, 248)(169, 241, 170, 242)(172, 244, 173, 245)(174, 246, 179, 251)(175, 247, 184, 256)(177, 249, 178, 250)(180, 252, 181, 253)(182, 254, 187, 259)(183, 255, 192, 264)(185, 257, 186, 258)(188, 260, 189, 261)(190, 262, 195, 267)(191, 263, 200, 272)(193, 265, 194, 266)(196, 268, 197, 269)(198, 270, 203, 275)(199, 271, 208, 280)(201, 273, 202, 274)(204, 276, 205, 277)(206, 278, 211, 283)(207, 279, 214, 286)(209, 281, 210, 282)(212, 284, 213, 285)(215, 287, 216, 288)
	L = (1, 148)(2, 152)(3, 153)(4, 145)(5, 157)(6, 161)(7, 156)(8, 146)(9, 147)(10, 155)(11, 154)(12, 151)(13, 149)(14, 164)(15, 169)(16, 162)(17, 150)(18, 160)(19, 165)(20, 158)(21, 163)(22, 173)(23, 177)(24, 170)(25, 159)(26, 168)(27, 172)(28, 171)(29, 166)(30, 180)(31, 185)(32, 178)(33, 167)(34, 176)(35, 181)(36, 174)(37, 179)(38, 189)(39, 193)(40, 186)(41, 175)(42, 184)(43, 188)(44, 187)(45, 182)(46, 196)(47, 201)(48, 194)(49, 183)(50, 192)(51, 197)(52, 190)(53, 195)(54, 205)(55, 209)(56, 202)(57, 191)(58, 200)(59, 204)(60, 203)(61, 198)(62, 212)(63, 215)(64, 210)(65, 199)(66, 208)(67, 213)(68, 206)(69, 211)(70, 216)(71, 207)(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, 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 E26.1072
Graph:: simple bipartite
	v = 40 e = 144 f = 54
	degree seq :: [ 4^36, 36^4 ]

E26.1076 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 18})
Quotient :: dipole
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y3 * Y1^-1 * Y2, Y1^18 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 6, 78, 13, 85, 21, 93, 29, 101, 37, 109, 45, 117, 53, 125, 61, 133, 60, 132, 52, 124, 44, 116, 36, 108, 28, 100, 20, 92, 12, 84, 5, 77)(3, 75, 9, 81, 17, 89, 25, 97, 33, 105, 41, 113, 49, 121, 57, 129, 65, 137, 69, 141, 62, 134, 55, 127, 46, 118, 39, 111, 30, 102, 23, 95, 14, 86, 8, 80)(4, 76, 11, 83, 19, 91, 27, 99, 35, 107, 43, 115, 51, 123, 59, 131, 67, 139, 68, 140, 63, 135, 54, 126, 47, 119, 38, 110, 31, 103, 22, 94, 15, 87, 7, 79)(10, 82, 16, 88, 24, 96, 32, 104, 40, 112, 48, 120, 56, 128, 64, 136, 70, 142, 72, 144, 71, 143, 66, 138, 58, 130, 50, 122, 42, 114, 34, 106, 26, 98, 18, 90)(145, 217, 147, 219)(146, 218, 151, 223)(148, 220, 154, 226)(149, 221, 155, 227)(150, 222, 158, 230)(152, 224, 160, 232)(153, 225, 162, 234)(156, 228, 161, 233)(157, 229, 166, 238)(159, 231, 168, 240)(163, 235, 170, 242)(164, 236, 171, 243)(165, 237, 174, 246)(167, 239, 176, 248)(169, 241, 178, 250)(172, 244, 177, 249)(173, 245, 182, 254)(175, 247, 184, 256)(179, 251, 186, 258)(180, 252, 187, 259)(181, 253, 190, 262)(183, 255, 192, 264)(185, 257, 194, 266)(188, 260, 193, 265)(189, 261, 198, 270)(191, 263, 200, 272)(195, 267, 202, 274)(196, 268, 203, 275)(197, 269, 206, 278)(199, 271, 208, 280)(201, 273, 210, 282)(204, 276, 209, 281)(205, 277, 212, 284)(207, 279, 214, 286)(211, 283, 215, 287)(213, 285, 216, 288)
	L = (1, 148)(2, 152)(3, 154)(4, 145)(5, 153)(6, 159)(7, 160)(8, 146)(9, 149)(10, 147)(11, 162)(12, 163)(13, 167)(14, 168)(15, 150)(16, 151)(17, 170)(18, 155)(19, 156)(20, 169)(21, 175)(22, 176)(23, 157)(24, 158)(25, 164)(26, 161)(27, 178)(28, 179)(29, 183)(30, 184)(31, 165)(32, 166)(33, 186)(34, 171)(35, 172)(36, 185)(37, 191)(38, 192)(39, 173)(40, 174)(41, 180)(42, 177)(43, 194)(44, 195)(45, 199)(46, 200)(47, 181)(48, 182)(49, 202)(50, 187)(51, 188)(52, 201)(53, 207)(54, 208)(55, 189)(56, 190)(57, 196)(58, 193)(59, 210)(60, 211)(61, 213)(62, 214)(63, 197)(64, 198)(65, 215)(66, 203)(67, 204)(68, 216)(69, 205)(70, 206)(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) :: { ( 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 E26.1071
Graph:: simple bipartite
	v = 40 e = 144 f = 54
	degree seq :: [ 4^36, 36^4 ]

E26.1077 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 18})
Quotient :: dipole
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y3^4, (R * Y1)^2, (Y1^-1 * Y2)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^4 * Y3 * Y1^-1 * Y3 * Y1^4, Y1^3 * Y2 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-4 * Y2 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 7, 79, 18, 90, 33, 105, 49, 121, 62, 134, 46, 118, 30, 102, 15, 87, 24, 96, 39, 111, 55, 127, 63, 135, 47, 119, 31, 103, 16, 88, 5, 77)(3, 75, 11, 83, 25, 97, 41, 113, 57, 129, 69, 141, 68, 140, 56, 128, 40, 112, 28, 100, 44, 116, 60, 132, 72, 144, 65, 137, 50, 122, 34, 106, 19, 91, 8, 80)(4, 76, 14, 86, 29, 101, 45, 117, 61, 133, 52, 124, 36, 108, 21, 93, 10, 82, 6, 78, 17, 89, 32, 104, 48, 120, 64, 136, 51, 123, 35, 107, 20, 92, 9, 81)(12, 84, 22, 94, 37, 109, 53, 125, 66, 138, 71, 143, 59, 131, 43, 115, 27, 99, 13, 85, 23, 95, 38, 110, 54, 126, 67, 139, 70, 142, 58, 130, 42, 114, 26, 98)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 157, 229)(149, 221, 155, 227)(150, 222, 156, 228)(151, 223, 163, 235)(153, 225, 167, 239)(154, 226, 166, 238)(158, 230, 171, 243)(159, 231, 172, 244)(160, 232, 169, 241)(161, 233, 170, 242)(162, 234, 178, 250)(164, 236, 182, 254)(165, 237, 181, 253)(168, 240, 184, 256)(173, 245, 187, 259)(174, 246, 188, 260)(175, 247, 185, 257)(176, 248, 186, 258)(177, 249, 194, 266)(179, 251, 198, 270)(180, 252, 197, 269)(183, 255, 200, 272)(189, 261, 203, 275)(190, 262, 204, 276)(191, 263, 201, 273)(192, 264, 202, 274)(193, 265, 209, 281)(195, 267, 211, 283)(196, 268, 210, 282)(199, 271, 212, 284)(205, 277, 215, 287)(206, 278, 216, 288)(207, 279, 213, 285)(208, 280, 214, 286)
	L = (1, 148)(2, 153)(3, 156)(4, 159)(5, 158)(6, 145)(7, 164)(8, 166)(9, 168)(10, 146)(11, 170)(12, 172)(13, 147)(14, 174)(15, 150)(16, 173)(17, 149)(18, 179)(19, 181)(20, 183)(21, 151)(22, 184)(23, 152)(24, 154)(25, 186)(26, 188)(27, 155)(28, 157)(29, 190)(30, 161)(31, 189)(32, 160)(33, 195)(34, 197)(35, 199)(36, 162)(37, 200)(38, 163)(39, 165)(40, 167)(41, 202)(42, 204)(43, 169)(44, 171)(45, 206)(46, 176)(47, 205)(48, 175)(49, 208)(50, 210)(51, 207)(52, 177)(53, 212)(54, 178)(55, 180)(56, 182)(57, 214)(58, 216)(59, 185)(60, 187)(61, 193)(62, 192)(63, 196)(64, 191)(65, 215)(66, 213)(67, 194)(68, 198)(69, 211)(70, 209)(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) :: { ( 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 E26.1073
Graph:: simple bipartite
	v = 40 e = 144 f = 54
	degree seq :: [ 4^36, 36^4 ]

E26.1078 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 18})
Quotient :: dipole
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^4, R * Y2 * R * Y2^-1, (Y1^-1 * Y3)^2, (Y2^-1 * Y3)^2, Y1^4, (R * Y3)^2, (R * Y1)^2, Y1 * Y2^-1 * Y1^-1 * Y2^-1, Y2^4 * Y1^2 * Y2^5 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 5, 77)(3, 75, 10, 82, 18, 90, 13, 85)(4, 76, 14, 86, 19, 91, 9, 81)(6, 78, 8, 80, 20, 92, 16, 88)(11, 83, 24, 96, 33, 105, 27, 99)(12, 84, 28, 100, 34, 106, 23, 95)(15, 87, 29, 101, 35, 107, 22, 94)(17, 89, 21, 93, 36, 108, 31, 103)(25, 97, 40, 112, 49, 121, 43, 115)(26, 98, 44, 116, 50, 122, 39, 111)(30, 102, 45, 117, 51, 123, 38, 110)(32, 104, 37, 109, 52, 124, 47, 119)(41, 113, 56, 128, 64, 136, 59, 131)(42, 114, 60, 132, 65, 137, 55, 127)(46, 118, 61, 133, 66, 138, 54, 126)(48, 120, 53, 125, 57, 129, 63, 135)(58, 130, 70, 142, 72, 144, 68, 140)(62, 134, 71, 143, 69, 141, 67, 139)(145, 217, 147, 219, 155, 227, 169, 241, 185, 257, 201, 273, 196, 268, 180, 252, 164, 236, 151, 223, 162, 234, 177, 249, 193, 265, 208, 280, 192, 264, 176, 248, 161, 233, 150, 222)(146, 218, 152, 224, 165, 237, 181, 253, 197, 269, 203, 275, 187, 259, 171, 243, 157, 229, 149, 221, 160, 232, 175, 247, 191, 263, 207, 279, 200, 272, 184, 256, 168, 240, 154, 226)(148, 220, 159, 231, 174, 246, 190, 262, 206, 278, 216, 288, 209, 281, 194, 266, 178, 250, 163, 235, 179, 251, 195, 267, 210, 282, 213, 285, 202, 274, 186, 258, 170, 242, 156, 228)(153, 225, 167, 239, 183, 255, 199, 271, 212, 284, 215, 287, 205, 277, 189, 261, 173, 245, 158, 230, 172, 244, 188, 260, 204, 276, 214, 286, 211, 283, 198, 270, 182, 254, 166, 238)
	L = (1, 148)(2, 153)(3, 156)(4, 145)(5, 158)(6, 159)(7, 163)(8, 166)(9, 146)(10, 167)(11, 170)(12, 147)(13, 172)(14, 149)(15, 150)(16, 173)(17, 174)(18, 178)(19, 151)(20, 179)(21, 182)(22, 152)(23, 154)(24, 183)(25, 186)(26, 155)(27, 188)(28, 157)(29, 160)(30, 161)(31, 189)(32, 190)(33, 194)(34, 162)(35, 164)(36, 195)(37, 198)(38, 165)(39, 168)(40, 199)(41, 202)(42, 169)(43, 204)(44, 171)(45, 175)(46, 176)(47, 205)(48, 206)(49, 209)(50, 177)(51, 180)(52, 210)(53, 211)(54, 181)(55, 184)(56, 212)(57, 213)(58, 185)(59, 214)(60, 187)(61, 191)(62, 192)(63, 215)(64, 216)(65, 193)(66, 196)(67, 197)(68, 200)(69, 201)(70, 203)(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) :: { ( 4^8 ), ( 4^36 ) }
Outer automorphisms :: reflexible
Dual of E26.1069
Graph:: bipartite
	v = 22 e = 144 f = 72
	degree seq :: [ 8^18, 36^4 ]

E26.1079 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 18})
Quotient :: dipole
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, Y1^4, (R * Y3)^2, (Y2 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y2^18 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 6, 78, 4, 76)(3, 75, 9, 81, 13, 85, 8, 80)(5, 77, 11, 83, 14, 86, 7, 79)(10, 82, 16, 88, 21, 93, 17, 89)(12, 84, 15, 87, 22, 94, 19, 91)(18, 90, 25, 97, 29, 101, 24, 96)(20, 92, 27, 99, 30, 102, 23, 95)(26, 98, 32, 104, 37, 109, 33, 105)(28, 100, 31, 103, 38, 110, 35, 107)(34, 106, 41, 113, 45, 117, 40, 112)(36, 108, 43, 115, 46, 118, 39, 111)(42, 114, 48, 120, 53, 125, 49, 121)(44, 116, 47, 119, 54, 126, 51, 123)(50, 122, 57, 129, 61, 133, 56, 128)(52, 124, 59, 131, 62, 134, 55, 127)(58, 130, 64, 136, 68, 140, 65, 137)(60, 132, 63, 135, 69, 141, 67, 139)(66, 138, 71, 143, 72, 144, 70, 142)(145, 217, 147, 219, 154, 226, 162, 234, 170, 242, 178, 250, 186, 258, 194, 266, 202, 274, 210, 282, 204, 276, 196, 268, 188, 260, 180, 252, 172, 244, 164, 236, 156, 228, 149, 221)(146, 218, 151, 223, 159, 231, 167, 239, 175, 247, 183, 255, 191, 263, 199, 271, 207, 279, 214, 286, 208, 280, 200, 272, 192, 264, 184, 256, 176, 248, 168, 240, 160, 232, 152, 224)(148, 220, 155, 227, 163, 235, 171, 243, 179, 251, 187, 259, 195, 267, 203, 275, 211, 283, 215, 287, 209, 281, 201, 273, 193, 265, 185, 257, 177, 249, 169, 241, 161, 233, 153, 225)(150, 222, 157, 229, 165, 237, 173, 245, 181, 253, 189, 261, 197, 269, 205, 277, 212, 284, 216, 288, 213, 285, 206, 278, 198, 270, 190, 262, 182, 254, 174, 246, 166, 238, 158, 230)
	L = (1, 146)(2, 150)(3, 153)(4, 145)(5, 155)(6, 148)(7, 149)(8, 147)(9, 157)(10, 160)(11, 158)(12, 159)(13, 152)(14, 151)(15, 166)(16, 165)(17, 154)(18, 169)(19, 156)(20, 171)(21, 161)(22, 163)(23, 164)(24, 162)(25, 173)(26, 176)(27, 174)(28, 175)(29, 168)(30, 167)(31, 182)(32, 181)(33, 170)(34, 185)(35, 172)(36, 187)(37, 177)(38, 179)(39, 180)(40, 178)(41, 189)(42, 192)(43, 190)(44, 191)(45, 184)(46, 183)(47, 198)(48, 197)(49, 186)(50, 201)(51, 188)(52, 203)(53, 193)(54, 195)(55, 196)(56, 194)(57, 205)(58, 208)(59, 206)(60, 207)(61, 200)(62, 199)(63, 213)(64, 212)(65, 202)(66, 215)(67, 204)(68, 209)(69, 211)(70, 210)(71, 216)(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) :: { ( 4^8 ), ( 4^36 ) }
Outer automorphisms :: reflexible
Dual of E26.1068
Graph:: bipartite
	v = 22 e = 144 f = 72
	degree seq :: [ 8^18, 36^4 ]

E26.1080 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 18})
Quotient :: dipole
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = C2 x ((C18 x C2) : C2) (small group id <144, 46>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2^2 * Y3, Y3 * Y2^-2 * Y3, Y3^2 * Y2^2, (Y1 * Y3)^2, (R * Y3)^2, Y3^4, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2 * Y1)^2, (Y3^-1 * Y2^-1 * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3^-1 * Y2)^18 ]
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, 18, 90)(9, 81, 24, 96)(12, 84, 19, 91)(13, 85, 22, 94)(14, 86, 23, 95)(15, 87, 20, 92)(16, 88, 21, 93)(25, 97, 33, 105)(26, 98, 36, 108)(27, 99, 34, 106)(28, 100, 35, 107)(29, 101, 37, 109)(30, 102, 40, 112)(31, 103, 38, 110)(32, 104, 39, 111)(41, 113, 49, 121)(42, 114, 52, 124)(43, 115, 50, 122)(44, 116, 51, 123)(45, 117, 53, 125)(46, 118, 56, 128)(47, 119, 54, 126)(48, 120, 55, 127)(57, 129, 65, 137)(58, 130, 68, 140)(59, 131, 66, 138)(60, 132, 67, 139)(61, 133, 69, 141)(62, 134, 72, 144)(63, 135, 70, 142)(64, 136, 71, 143)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 163, 235, 153, 225)(148, 220, 159, 231, 150, 222, 160, 232)(152, 224, 166, 238, 154, 226, 167, 239)(155, 227, 169, 241, 161, 233, 170, 242)(157, 229, 171, 243, 158, 230, 172, 244)(162, 234, 173, 245, 168, 240, 174, 246)(164, 236, 175, 247, 165, 237, 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, 215, 287, 212, 284, 214, 286)(210, 282, 213, 285, 211, 283, 216, 288)
	L = (1, 148)(2, 152)(3, 157)(4, 156)(5, 158)(6, 145)(7, 164)(8, 163)(9, 165)(10, 146)(11, 167)(12, 150)(13, 149)(14, 147)(15, 162)(16, 168)(17, 166)(18, 160)(19, 154)(20, 153)(21, 151)(22, 155)(23, 161)(24, 159)(25, 178)(26, 179)(27, 177)(28, 180)(29, 182)(30, 183)(31, 181)(32, 184)(33, 172)(34, 170)(35, 169)(36, 171)(37, 176)(38, 174)(39, 173)(40, 175)(41, 194)(42, 195)(43, 193)(44, 196)(45, 198)(46, 199)(47, 197)(48, 200)(49, 188)(50, 186)(51, 185)(52, 187)(53, 192)(54, 190)(55, 189)(56, 191)(57, 210)(58, 211)(59, 209)(60, 212)(61, 214)(62, 215)(63, 213)(64, 216)(65, 204)(66, 202)(67, 201)(68, 203)(69, 208)(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, 36, 4, 36 ), ( 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E26.1081
Graph:: simple bipartite
	v = 54 e = 144 f = 40
	degree seq :: [ 4^36, 8^18 ]

E26.1081 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 18})
Quotient :: dipole
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = C2 x ((C18 x C2) : C2) (small group id <144, 46>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, Y3^-1 * Y1 * Y3 * Y1, Y2 * Y1 * Y2 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y3^4, (R * Y2 * Y3^-1)^2, Y1^3 * Y3 * Y1^-2 * Y3 * Y1^4, Y1^2 * Y2 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1^3 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 7, 79, 18, 90, 33, 105, 49, 121, 62, 134, 46, 118, 30, 102, 15, 87, 24, 96, 39, 111, 55, 127, 63, 135, 47, 119, 31, 103, 16, 88, 5, 77)(3, 75, 8, 80, 19, 91, 34, 106, 50, 122, 65, 137, 70, 142, 58, 130, 42, 114, 26, 98, 40, 112, 56, 128, 68, 140, 71, 143, 59, 131, 43, 115, 27, 99, 12, 84)(4, 76, 14, 86, 29, 101, 45, 117, 61, 133, 52, 124, 36, 108, 21, 93, 10, 82, 6, 78, 17, 89, 32, 104, 48, 120, 64, 136, 51, 123, 35, 107, 20, 92, 9, 81)(11, 83, 25, 97, 41, 113, 57, 129, 69, 141, 67, 139, 54, 126, 38, 110, 23, 95, 13, 85, 28, 100, 44, 116, 60, 132, 72, 144, 66, 138, 53, 125, 37, 109, 22, 94)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 157, 229)(149, 221, 156, 228)(150, 222, 155, 227)(151, 223, 163, 235)(153, 225, 167, 239)(154, 226, 166, 238)(158, 230, 172, 244)(159, 231, 170, 242)(160, 232, 171, 243)(161, 233, 169, 241)(162, 234, 178, 250)(164, 236, 182, 254)(165, 237, 181, 253)(168, 240, 184, 256)(173, 245, 188, 260)(174, 246, 186, 258)(175, 247, 187, 259)(176, 248, 185, 257)(177, 249, 194, 266)(179, 251, 198, 270)(180, 252, 197, 269)(183, 255, 200, 272)(189, 261, 204, 276)(190, 262, 202, 274)(191, 263, 203, 275)(192, 264, 201, 273)(193, 265, 209, 281)(195, 267, 211, 283)(196, 268, 210, 282)(199, 271, 212, 284)(205, 277, 216, 288)(206, 278, 214, 286)(207, 279, 215, 287)(208, 280, 213, 285)
	L = (1, 148)(2, 153)(3, 155)(4, 159)(5, 158)(6, 145)(7, 164)(8, 166)(9, 168)(10, 146)(11, 170)(12, 169)(13, 147)(14, 174)(15, 150)(16, 173)(17, 149)(18, 179)(19, 181)(20, 183)(21, 151)(22, 184)(23, 152)(24, 154)(25, 186)(26, 157)(27, 185)(28, 156)(29, 190)(30, 161)(31, 189)(32, 160)(33, 195)(34, 197)(35, 199)(36, 162)(37, 200)(38, 163)(39, 165)(40, 167)(41, 202)(42, 172)(43, 201)(44, 171)(45, 206)(46, 176)(47, 205)(48, 175)(49, 208)(50, 210)(51, 207)(52, 177)(53, 212)(54, 178)(55, 180)(56, 182)(57, 214)(58, 188)(59, 213)(60, 187)(61, 193)(62, 192)(63, 196)(64, 191)(65, 216)(66, 215)(67, 194)(68, 198)(69, 209)(70, 204)(71, 211)(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, 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 E26.1080
Graph:: simple bipartite
	v = 40 e = 144 f = 54
	degree seq :: [ 4^36, 36^4 ]

E26.1082 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 8, 18})
Quotient :: edge
Aut^+ = C9 : C8 (small group id <72, 1>)
Aut   = (C9 x D8) : C2 (small group id <144, 16>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^-1 * T2^-1 * T1 * T2^-1, T1^8, T1^3 * T2^-1 * T1 * T2^8 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 49, 65, 58, 42, 26, 41, 57, 72, 56, 40, 25, 13, 5)(2, 7, 17, 31, 47, 63, 68, 52, 36, 24, 39, 55, 71, 64, 48, 32, 18, 8)(4, 11, 22, 37, 53, 69, 60, 44, 28, 14, 27, 43, 59, 66, 50, 34, 20, 10)(6, 15, 29, 45, 61, 70, 54, 38, 23, 12, 21, 35, 51, 67, 62, 46, 30, 16)(73, 74, 78, 86, 98, 96, 84, 76)(75, 80, 87, 100, 113, 108, 93, 82)(77, 79, 88, 99, 114, 111, 95, 83)(81, 90, 101, 116, 129, 124, 107, 92)(85, 89, 102, 115, 130, 127, 110, 94)(91, 104, 117, 132, 144, 140, 123, 106)(97, 103, 118, 131, 137, 143, 126, 109)(105, 120, 133, 141, 128, 135, 139, 122)(112, 119, 134, 138, 121, 136, 142, 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) :: { ( 16^8 ), ( 16^18 ) }
Outer automorphisms :: reflexible
Dual of E26.1083
Transitivity :: ET+
Graph:: bipartite
	v = 13 e = 72 f = 9
	degree seq :: [ 8^9, 18^4 ]

E26.1083 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 8, 18})
Quotient :: loop
Aut^+ = C9 : C8 (small group id <72, 1>)
Aut   = (C9 x D8) : C2 (small group id <144, 16>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, T2^-1 * T1^-2 * T2^-1, (F * T1)^2, T1^-2 * T2^6, T2^-1 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T1^-2 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 21, 93, 26, 98, 15, 87, 6, 78, 5, 77)(2, 74, 7, 79, 4, 76, 12, 84, 22, 94, 27, 99, 14, 86, 8, 80)(9, 81, 19, 91, 11, 83, 23, 95, 28, 100, 25, 97, 13, 85, 20, 92)(16, 88, 29, 101, 17, 89, 31, 103, 24, 96, 32, 104, 18, 90, 30, 102)(33, 105, 41, 113, 34, 106, 43, 115, 36, 108, 44, 116, 35, 107, 42, 114)(37, 109, 45, 117, 38, 110, 47, 119, 40, 112, 48, 120, 39, 111, 46, 118)(49, 121, 57, 129, 50, 122, 59, 131, 52, 124, 60, 132, 51, 123, 58, 130)(53, 125, 61, 133, 54, 126, 63, 135, 56, 128, 64, 136, 55, 127, 62, 134)(65, 137, 71, 143, 66, 138, 69, 141, 68, 140, 70, 142, 67, 139, 72, 144)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 85)(6, 86)(7, 88)(8, 90)(9, 77)(10, 76)(11, 75)(12, 89)(13, 87)(14, 98)(15, 100)(16, 80)(17, 79)(18, 99)(19, 105)(20, 107)(21, 83)(22, 82)(23, 106)(24, 84)(25, 108)(26, 94)(27, 96)(28, 93)(29, 109)(30, 111)(31, 110)(32, 112)(33, 92)(34, 91)(35, 97)(36, 95)(37, 102)(38, 101)(39, 104)(40, 103)(41, 121)(42, 123)(43, 122)(44, 124)(45, 125)(46, 127)(47, 126)(48, 128)(49, 114)(50, 113)(51, 116)(52, 115)(53, 118)(54, 117)(55, 120)(56, 119)(57, 137)(58, 139)(59, 138)(60, 140)(61, 141)(62, 143)(63, 142)(64, 144)(65, 130)(66, 129)(67, 132)(68, 131)(69, 134)(70, 133)(71, 136)(72, 135)
	local type(s) :: { ( 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18 ) }
Outer automorphisms :: reflexible
Dual of E26.1082
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 72 f = 13
	degree seq :: [ 16^9 ]

E26.1084 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 18})
Quotient :: dipole
Aut^+ = C9 : C8 (small group id <72, 1>)
Aut   = (C9 x D8) : C2 (small group id <144, 16>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y1^8, Y1^2 * Y2^-1 * Y1 * Y2^3 * Y1 * Y2^-5, (Y3^-1 * Y1^-1)^8, Y2^18 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 14, 86, 26, 98, 24, 96, 12, 84, 4, 76)(3, 75, 8, 80, 15, 87, 28, 100, 41, 113, 36, 108, 21, 93, 10, 82)(5, 77, 7, 79, 16, 88, 27, 99, 42, 114, 39, 111, 23, 95, 11, 83)(9, 81, 18, 90, 29, 101, 44, 116, 57, 129, 52, 124, 35, 107, 20, 92)(13, 85, 17, 89, 30, 102, 43, 115, 58, 130, 55, 127, 38, 110, 22, 94)(19, 91, 32, 104, 45, 117, 60, 132, 72, 144, 68, 140, 51, 123, 34, 106)(25, 97, 31, 103, 46, 118, 59, 131, 65, 137, 71, 143, 54, 126, 37, 109)(33, 105, 48, 120, 61, 133, 69, 141, 56, 128, 63, 135, 67, 139, 50, 122)(40, 112, 47, 119, 62, 134, 66, 138, 49, 121, 64, 136, 70, 142, 53, 125)(145, 217, 147, 219, 153, 225, 163, 235, 177, 249, 193, 265, 209, 281, 202, 274, 186, 258, 170, 242, 185, 257, 201, 273, 216, 288, 200, 272, 184, 256, 169, 241, 157, 229, 149, 221)(146, 218, 151, 223, 161, 233, 175, 247, 191, 263, 207, 279, 212, 284, 196, 268, 180, 252, 168, 240, 183, 255, 199, 271, 215, 287, 208, 280, 192, 264, 176, 248, 162, 234, 152, 224)(148, 220, 155, 227, 166, 238, 181, 253, 197, 269, 213, 285, 204, 276, 188, 260, 172, 244, 158, 230, 171, 243, 187, 259, 203, 275, 210, 282, 194, 266, 178, 250, 164, 236, 154, 226)(150, 222, 159, 231, 173, 245, 189, 261, 205, 277, 214, 286, 198, 270, 182, 254, 167, 239, 156, 228, 165, 237, 179, 251, 195, 267, 211, 283, 206, 278, 190, 262, 174, 246, 160, 232)
	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, 185)(27, 187)(28, 158)(29, 189)(30, 160)(31, 191)(32, 162)(33, 193)(34, 164)(35, 195)(36, 168)(37, 197)(38, 167)(39, 199)(40, 169)(41, 201)(42, 170)(43, 203)(44, 172)(45, 205)(46, 174)(47, 207)(48, 176)(49, 209)(50, 178)(51, 211)(52, 180)(53, 213)(54, 182)(55, 215)(56, 184)(57, 216)(58, 186)(59, 210)(60, 188)(61, 214)(62, 190)(63, 212)(64, 192)(65, 202)(66, 194)(67, 206)(68, 196)(69, 204)(70, 198)(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) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 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 E26.1085
Graph:: bipartite
	v = 13 e = 144 f = 81
	degree seq :: [ 16^9, 36^4 ]

E26.1085 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 18})
Quotient :: dipole
Aut^+ = C9 : C8 (small group id <72, 1>)
Aut   = (C9 x D8) : C2 (small group id <144, 16>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2^8, Y2 * Y3^-1 * Y2 * Y3^3 * Y2 * Y3^-5 * Y2, (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, 158, 230, 170, 242, 168, 240, 156, 228, 148, 220)(147, 219, 152, 224, 159, 231, 172, 244, 185, 257, 180, 252, 165, 237, 154, 226)(149, 221, 151, 223, 160, 232, 171, 243, 186, 258, 183, 255, 167, 239, 155, 227)(153, 225, 162, 234, 173, 245, 188, 260, 201, 273, 196, 268, 179, 251, 164, 236)(157, 229, 161, 233, 174, 246, 187, 259, 202, 274, 199, 271, 182, 254, 166, 238)(163, 235, 176, 248, 189, 261, 204, 276, 216, 288, 212, 284, 195, 267, 178, 250)(169, 241, 175, 247, 190, 262, 203, 275, 209, 281, 215, 287, 198, 270, 181, 253)(177, 249, 192, 264, 205, 277, 213, 285, 200, 272, 207, 279, 211, 283, 194, 266)(184, 256, 191, 263, 206, 278, 210, 282, 193, 265, 208, 280, 214, 286, 197, 269)
	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, 185)(27, 187)(28, 158)(29, 189)(30, 160)(31, 191)(32, 162)(33, 193)(34, 164)(35, 195)(36, 168)(37, 197)(38, 167)(39, 199)(40, 169)(41, 201)(42, 170)(43, 203)(44, 172)(45, 205)(46, 174)(47, 207)(48, 176)(49, 209)(50, 178)(51, 211)(52, 180)(53, 213)(54, 182)(55, 215)(56, 184)(57, 216)(58, 186)(59, 210)(60, 188)(61, 214)(62, 190)(63, 212)(64, 192)(65, 202)(66, 194)(67, 206)(68, 196)(69, 204)(70, 198)(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) :: { ( 16, 36 ), ( 16, 36, 16, 36, 16, 36, 16, 36, 16, 36, 16, 36, 16, 36, 16, 36 ) }
Outer automorphisms :: reflexible
Dual of E26.1084
Graph:: simple bipartite
	v = 81 e = 144 f = 13
	degree seq :: [ 2^72, 16^9 ]

E26.1086 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 36, 36})
Quotient :: edge
Aut^+ = C9 x Q8 (small group id <72, 11>)
Aut   = (C4 x D18) : C2 (small group id <144, 44>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1^-1 * T2^-1 * T1^-1, T1^-1 * T2^18 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 18, 26, 34, 42, 50, 58, 66, 70, 62, 54, 46, 38, 30, 22, 14, 6, 13, 21, 29, 37, 45, 53, 61, 69, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 71, 67, 59, 51, 43, 35, 27, 19, 11, 4, 9, 17, 25, 33, 41, 49, 57, 65, 72, 64, 56, 48, 40, 32, 24, 16, 8)(73, 74, 78, 76)(75, 81, 85, 79)(77, 83, 86, 80)(82, 87, 93, 89)(84, 88, 94, 91)(90, 97, 101, 95)(92, 99, 102, 96)(98, 103, 109, 105)(100, 104, 110, 107)(106, 113, 117, 111)(108, 115, 118, 112)(114, 119, 125, 121)(116, 120, 126, 123)(122, 129, 133, 127)(124, 131, 134, 128)(130, 135, 141, 137)(132, 136, 142, 139)(138, 144, 140, 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) :: { ( 72^4 ), ( 72^36 ) }
Outer automorphisms :: reflexible
Dual of E26.1087
Transitivity :: ET+
Graph:: bipartite
	v = 20 e = 72 f = 2
	degree seq :: [ 4^18, 36^2 ]

E26.1087 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 36, 36})
Quotient :: loop
Aut^+ = C9 x Q8 (small group id <72, 11>)
Aut   = (C4 x D18) : C2 (small group id <144, 44>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1^-1 * T2^-1 * T1^-1, T1^-1 * T2^18 * T1^-1 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 18, 90, 26, 98, 34, 106, 42, 114, 50, 122, 58, 130, 66, 138, 70, 142, 62, 134, 54, 126, 46, 118, 38, 110, 30, 102, 22, 94, 14, 86, 6, 78, 13, 85, 21, 93, 29, 101, 37, 109, 45, 117, 53, 125, 61, 133, 69, 141, 68, 140, 60, 132, 52, 124, 44, 116, 36, 108, 28, 100, 20, 92, 12, 84, 5, 77)(2, 74, 7, 79, 15, 87, 23, 95, 31, 103, 39, 111, 47, 119, 55, 127, 63, 135, 71, 143, 67, 139, 59, 131, 51, 123, 43, 115, 35, 107, 27, 99, 19, 91, 11, 83, 4, 76, 9, 81, 17, 89, 25, 97, 33, 105, 41, 113, 49, 121, 57, 129, 65, 137, 72, 144, 64, 136, 56, 128, 48, 120, 40, 112, 32, 104, 24, 96, 16, 88, 8, 80)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 83)(6, 76)(7, 75)(8, 77)(9, 85)(10, 87)(11, 86)(12, 88)(13, 79)(14, 80)(15, 93)(16, 94)(17, 82)(18, 97)(19, 84)(20, 99)(21, 89)(22, 91)(23, 90)(24, 92)(25, 101)(26, 103)(27, 102)(28, 104)(29, 95)(30, 96)(31, 109)(32, 110)(33, 98)(34, 113)(35, 100)(36, 115)(37, 105)(38, 107)(39, 106)(40, 108)(41, 117)(42, 119)(43, 118)(44, 120)(45, 111)(46, 112)(47, 125)(48, 126)(49, 114)(50, 129)(51, 116)(52, 131)(53, 121)(54, 123)(55, 122)(56, 124)(57, 133)(58, 135)(59, 134)(60, 136)(61, 127)(62, 128)(63, 141)(64, 142)(65, 130)(66, 144)(67, 132)(68, 143)(69, 137)(70, 139)(71, 138)(72, 140)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1086
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 72 f = 20
	degree seq :: [ 72^2 ]

E26.1088 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 36, 36})
Quotient :: dipole
Aut^+ = C9 x Q8 (small group id <72, 11>)
Aut   = (C4 x D18) : C2 (small group id <144, 44>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y1^4, Y3 * Y2 * Y1^-1 * Y2^-1, Y2 * Y3 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^8 * Y3 * Y2^10 * Y1^-1, (Y2^-1 * Y1)^36 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 4, 76)(3, 75, 9, 81, 13, 85, 7, 79)(5, 77, 11, 83, 14, 86, 8, 80)(10, 82, 15, 87, 21, 93, 17, 89)(12, 84, 16, 88, 22, 94, 19, 91)(18, 90, 25, 97, 29, 101, 23, 95)(20, 92, 27, 99, 30, 102, 24, 96)(26, 98, 31, 103, 37, 109, 33, 105)(28, 100, 32, 104, 38, 110, 35, 107)(34, 106, 41, 113, 45, 117, 39, 111)(36, 108, 43, 115, 46, 118, 40, 112)(42, 114, 47, 119, 53, 125, 49, 121)(44, 116, 48, 120, 54, 126, 51, 123)(50, 122, 57, 129, 61, 133, 55, 127)(52, 124, 59, 131, 62, 134, 56, 128)(58, 130, 63, 135, 69, 141, 65, 137)(60, 132, 64, 136, 70, 142, 67, 139)(66, 138, 72, 144, 68, 140, 71, 143)(145, 217, 147, 219, 154, 226, 162, 234, 170, 242, 178, 250, 186, 258, 194, 266, 202, 274, 210, 282, 214, 286, 206, 278, 198, 270, 190, 262, 182, 254, 174, 246, 166, 238, 158, 230, 150, 222, 157, 229, 165, 237, 173, 245, 181, 253, 189, 261, 197, 269, 205, 277, 213, 285, 212, 284, 204, 276, 196, 268, 188, 260, 180, 252, 172, 244, 164, 236, 156, 228, 149, 221)(146, 218, 151, 223, 159, 231, 167, 239, 175, 247, 183, 255, 191, 263, 199, 271, 207, 279, 215, 287, 211, 283, 203, 275, 195, 267, 187, 259, 179, 251, 171, 243, 163, 235, 155, 227, 148, 220, 153, 225, 161, 233, 169, 241, 177, 249, 185, 257, 193, 265, 201, 273, 209, 281, 216, 288, 208, 280, 200, 272, 192, 264, 184, 256, 176, 248, 168, 240, 160, 232, 152, 224)
	L = (1, 148)(2, 145)(3, 151)(4, 150)(5, 152)(6, 146)(7, 157)(8, 158)(9, 147)(10, 161)(11, 149)(12, 163)(13, 153)(14, 155)(15, 154)(16, 156)(17, 165)(18, 167)(19, 166)(20, 168)(21, 159)(22, 160)(23, 173)(24, 174)(25, 162)(26, 177)(27, 164)(28, 179)(29, 169)(30, 171)(31, 170)(32, 172)(33, 181)(34, 183)(35, 182)(36, 184)(37, 175)(38, 176)(39, 189)(40, 190)(41, 178)(42, 193)(43, 180)(44, 195)(45, 185)(46, 187)(47, 186)(48, 188)(49, 197)(50, 199)(51, 198)(52, 200)(53, 191)(54, 192)(55, 205)(56, 206)(57, 194)(58, 209)(59, 196)(60, 211)(61, 201)(62, 203)(63, 202)(64, 204)(65, 213)(66, 215)(67, 214)(68, 216)(69, 207)(70, 208)(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, 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, 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 E26.1089
Graph:: bipartite
	v = 20 e = 144 f = 74
	degree seq :: [ 8^18, 72^2 ]

E26.1089 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 36, 36})
Quotient :: dipole
Aut^+ = C9 x Q8 (small group id <72, 11>)
Aut   = (C4 x D18) : C2 (small group id <144, 44>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y1^-1 * Y3^2 * Y1^-17 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 13, 85, 21, 93, 29, 101, 37, 109, 45, 117, 53, 125, 61, 133, 69, 141, 65, 137, 57, 129, 49, 121, 41, 113, 33, 105, 25, 97, 17, 89, 9, 81, 16, 88, 24, 96, 32, 104, 40, 112, 48, 120, 56, 128, 64, 136, 72, 144, 68, 140, 60, 132, 52, 124, 44, 116, 36, 108, 28, 100, 20, 92, 12, 84, 4, 76)(3, 75, 8, 80, 14, 86, 23, 95, 30, 102, 39, 111, 46, 118, 55, 127, 62, 134, 71, 143, 67, 139, 59, 131, 51, 123, 43, 115, 35, 107, 27, 99, 19, 91, 11, 83, 5, 77, 7, 79, 15, 87, 22, 94, 31, 103, 38, 110, 47, 119, 54, 126, 63, 135, 70, 142, 66, 138, 58, 130, 50, 122, 42, 114, 34, 106, 26, 98, 18, 90, 10, 82)(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, 158)(7, 160)(8, 146)(9, 149)(10, 148)(11, 161)(12, 162)(13, 166)(14, 168)(15, 150)(16, 152)(17, 154)(18, 169)(19, 156)(20, 171)(21, 174)(22, 176)(23, 157)(24, 159)(25, 163)(26, 164)(27, 177)(28, 178)(29, 182)(30, 184)(31, 165)(32, 167)(33, 170)(34, 185)(35, 172)(36, 187)(37, 190)(38, 192)(39, 173)(40, 175)(41, 179)(42, 180)(43, 193)(44, 194)(45, 198)(46, 200)(47, 181)(48, 183)(49, 186)(50, 201)(51, 188)(52, 203)(53, 206)(54, 208)(55, 189)(56, 191)(57, 195)(58, 196)(59, 209)(60, 210)(61, 214)(62, 216)(63, 197)(64, 199)(65, 202)(66, 213)(67, 204)(68, 215)(69, 211)(70, 212)(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) :: { ( 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, 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 E26.1088
Graph:: simple bipartite
	v = 74 e = 144 f = 20
	degree seq :: [ 2^72, 72^2 ]

E26.1090 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 3, 3})
Quotient :: edge^2
Aut^+ = (C5 x C5) : C3 (small group id <75, 2>)
Aut   = ((C5 x C5) : C3) : C2 (small group id <150, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, Y3^3, Y2^3, Y1^3, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1, (Y1^-1 * Y3^-1 * Y2^-1)^3, Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1, (Y1^-1 * Y3^-1)^5 ]
Map:: polytopal non-degenerate
	R = (1, 76, 3, 78, 5, 80)(2, 77, 6, 81, 7, 82)(4, 79, 10, 85, 11, 86)(8, 83, 18, 93, 19, 94)(9, 84, 16, 91, 20, 95)(12, 87, 25, 100, 22, 97)(13, 88, 26, 101, 27, 102)(14, 89, 28, 103, 29, 104)(15, 90, 23, 98, 30, 105)(17, 92, 31, 106, 32, 107)(21, 96, 38, 113, 39, 114)(24, 99, 40, 115, 41, 116)(33, 108, 53, 128, 54, 129)(34, 109, 36, 111, 55, 130)(35, 110, 56, 131, 57, 132)(37, 112, 51, 126, 58, 133)(42, 117, 63, 138, 60, 135)(43, 118, 44, 119, 64, 139)(45, 120, 65, 140, 46, 121)(47, 122, 49, 124, 66, 141)(48, 123, 67, 142, 68, 143)(50, 125, 62, 137, 69, 144)(52, 127, 70, 145, 59, 134)(61, 136, 74, 149, 71, 146)(72, 147, 73, 148, 75, 150)(151, 152, 154)(153, 158, 159)(155, 162, 163)(156, 164, 165)(157, 166, 167)(160, 171, 172)(161, 173, 174)(168, 183, 184)(169, 176, 185)(170, 186, 187)(175, 192, 193)(177, 194, 195)(178, 196, 197)(179, 181, 198)(180, 199, 200)(182, 201, 202)(188, 209, 210)(189, 190, 211)(191, 212, 203)(204, 206, 221)(205, 219, 222)(207, 215, 217)(208, 223, 213)(214, 225, 216)(218, 220, 224)(226, 227, 229)(228, 233, 234)(230, 237, 238)(231, 239, 240)(232, 241, 242)(235, 246, 247)(236, 248, 249)(243, 258, 259)(244, 251, 260)(245, 261, 262)(250, 267, 268)(252, 269, 270)(253, 271, 272)(254, 256, 273)(255, 274, 275)(257, 276, 277)(263, 284, 285)(264, 265, 286)(266, 287, 278)(279, 281, 296)(280, 294, 297)(282, 290, 292)(283, 298, 288)(289, 300, 291)(293, 295, 299)
	L = (1, 151)(2, 152)(3, 153)(4, 154)(5, 155)(6, 156)(7, 157)(8, 158)(9, 159)(10, 160)(11, 161)(12, 162)(13, 163)(14, 164)(15, 165)(16, 166)(17, 167)(18, 168)(19, 169)(20, 170)(21, 171)(22, 172)(23, 173)(24, 174)(25, 175)(26, 176)(27, 177)(28, 178)(29, 179)(30, 180)(31, 181)(32, 182)(33, 183)(34, 184)(35, 185)(36, 186)(37, 187)(38, 188)(39, 189)(40, 190)(41, 191)(42, 192)(43, 193)(44, 194)(45, 195)(46, 196)(47, 197)(48, 198)(49, 199)(50, 200)(51, 201)(52, 202)(53, 203)(54, 204)(55, 205)(56, 206)(57, 207)(58, 208)(59, 209)(60, 210)(61, 211)(62, 212)(63, 213)(64, 214)(65, 215)(66, 216)(67, 217)(68, 218)(69, 219)(70, 220)(71, 221)(72, 222)(73, 223)(74, 224)(75, 225)(76, 226)(77, 227)(78, 228)(79, 229)(80, 230)(81, 231)(82, 232)(83, 233)(84, 234)(85, 235)(86, 236)(87, 237)(88, 238)(89, 239)(90, 240)(91, 241)(92, 242)(93, 243)(94, 244)(95, 245)(96, 246)(97, 247)(98, 248)(99, 249)(100, 250)(101, 251)(102, 252)(103, 253)(104, 254)(105, 255)(106, 256)(107, 257)(108, 258)(109, 259)(110, 260)(111, 261)(112, 262)(113, 263)(114, 264)(115, 265)(116, 266)(117, 267)(118, 268)(119, 269)(120, 270)(121, 271)(122, 272)(123, 273)(124, 274)(125, 275)(126, 276)(127, 277)(128, 278)(129, 279)(130, 280)(131, 281)(132, 282)(133, 283)(134, 284)(135, 285)(136, 286)(137, 287)(138, 288)(139, 289)(140, 290)(141, 291)(142, 292)(143, 293)(144, 294)(145, 295)(146, 296)(147, 297)(148, 298)(149, 299)(150, 300)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E26.1092
Graph:: simple bipartite
	v = 75 e = 150 f = 25
	degree seq :: [ 3^50, 6^25 ]

E26.1091 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 3, 3})
Quotient :: edge^2
Aut^+ = (C5 x C5) : C3 (small group id <75, 2>)
Aut   = ((C5 x C5) : C3) : C2 (small group id <150, 5>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3, Y2^-1 * Y1^-1 * Y3, Y1^3, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y1^-1 * Y2^-1, Y2 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1 * Y2^-1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2^-1, Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 76, 4, 79, 7, 82)(2, 77, 8, 83, 10, 85)(3, 78, 12, 87, 5, 80)(6, 81, 18, 93, 13, 88)(9, 84, 23, 98, 15, 90)(11, 86, 25, 100, 27, 102)(14, 89, 30, 105, 31, 106)(16, 91, 33, 108, 21, 96)(17, 92, 19, 94, 35, 110)(20, 95, 38, 113, 39, 114)(22, 97, 24, 99, 42, 117)(26, 101, 48, 123, 28, 103)(29, 104, 51, 126, 46, 121)(32, 107, 55, 130, 53, 128)(34, 109, 58, 133, 36, 111)(37, 112, 54, 129, 61, 136)(40, 115, 65, 140, 63, 138)(41, 116, 67, 142, 43, 118)(44, 119, 64, 139, 70, 145)(45, 120, 66, 141, 68, 143)(47, 122, 49, 124, 72, 147)(50, 125, 74, 149, 56, 131)(52, 127, 73, 148, 71, 146)(57, 132, 59, 134, 62, 137)(60, 135, 75, 150, 69, 144)(151, 152, 155)(153, 161, 163)(154, 164, 165)(156, 167, 157)(158, 170, 171)(159, 172, 160)(162, 166, 178)(168, 179, 186)(169, 187, 181)(173, 182, 193)(174, 194, 189)(175, 195, 196)(176, 197, 177)(180, 202, 203)(183, 190, 206)(184, 207, 185)(188, 212, 213)(191, 216, 192)(198, 200, 223)(199, 220, 218)(201, 217, 219)(204, 222, 221)(205, 224, 225)(208, 210, 215)(209, 214, 211)(226, 228, 231)(227, 229, 234)(230, 233, 241)(232, 244, 239)(235, 249, 245)(236, 237, 251)(238, 250, 254)(240, 255, 257)(242, 243, 259)(246, 263, 265)(247, 248, 266)(252, 274, 270)(253, 258, 275)(256, 279, 277)(260, 284, 262)(261, 276, 285)(264, 289, 287)(267, 293, 269)(268, 280, 294)(271, 291, 292)(272, 273, 296)(278, 298, 299)(281, 290, 300)(282, 283, 288)(286, 295, 297)
	L = (1, 151)(2, 152)(3, 153)(4, 154)(5, 155)(6, 156)(7, 157)(8, 158)(9, 159)(10, 160)(11, 161)(12, 162)(13, 163)(14, 164)(15, 165)(16, 166)(17, 167)(18, 168)(19, 169)(20, 170)(21, 171)(22, 172)(23, 173)(24, 174)(25, 175)(26, 176)(27, 177)(28, 178)(29, 179)(30, 180)(31, 181)(32, 182)(33, 183)(34, 184)(35, 185)(36, 186)(37, 187)(38, 188)(39, 189)(40, 190)(41, 191)(42, 192)(43, 193)(44, 194)(45, 195)(46, 196)(47, 197)(48, 198)(49, 199)(50, 200)(51, 201)(52, 202)(53, 203)(54, 204)(55, 205)(56, 206)(57, 207)(58, 208)(59, 209)(60, 210)(61, 211)(62, 212)(63, 213)(64, 214)(65, 215)(66, 216)(67, 217)(68, 218)(69, 219)(70, 220)(71, 221)(72, 222)(73, 223)(74, 224)(75, 225)(76, 226)(77, 227)(78, 228)(79, 229)(80, 230)(81, 231)(82, 232)(83, 233)(84, 234)(85, 235)(86, 236)(87, 237)(88, 238)(89, 239)(90, 240)(91, 241)(92, 242)(93, 243)(94, 244)(95, 245)(96, 246)(97, 247)(98, 248)(99, 249)(100, 250)(101, 251)(102, 252)(103, 253)(104, 254)(105, 255)(106, 256)(107, 257)(108, 258)(109, 259)(110, 260)(111, 261)(112, 262)(113, 263)(114, 264)(115, 265)(116, 266)(117, 267)(118, 268)(119, 269)(120, 270)(121, 271)(122, 272)(123, 273)(124, 274)(125, 275)(126, 276)(127, 277)(128, 278)(129, 279)(130, 280)(131, 281)(132, 282)(133, 283)(134, 284)(135, 285)(136, 286)(137, 287)(138, 288)(139, 289)(140, 290)(141, 291)(142, 292)(143, 293)(144, 294)(145, 295)(146, 296)(147, 297)(148, 298)(149, 299)(150, 300)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E26.1093
Graph:: simple bipartite
	v = 75 e = 150 f = 25
	degree seq :: [ 3^50, 6^25 ]

E26.1092 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 3, 3})
Quotient :: loop^2
Aut^+ = (C5 x C5) : C3 (small group id <75, 2>)
Aut   = ((C5 x C5) : C3) : C2 (small group id <150, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, Y3^3, Y2^3, Y1^3, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1, (Y1^-1 * Y3^-1 * Y2^-1)^3, Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1, (Y1^-1 * Y3^-1)^5 ]
Map:: polytopal non-degenerate
	R = (1, 76, 151, 226, 3, 78, 153, 228, 5, 80, 155, 230)(2, 77, 152, 227, 6, 81, 156, 231, 7, 82, 157, 232)(4, 79, 154, 229, 10, 85, 160, 235, 11, 86, 161, 236)(8, 83, 158, 233, 18, 93, 168, 243, 19, 94, 169, 244)(9, 84, 159, 234, 16, 91, 166, 241, 20, 95, 170, 245)(12, 87, 162, 237, 25, 100, 175, 250, 22, 97, 172, 247)(13, 88, 163, 238, 26, 101, 176, 251, 27, 102, 177, 252)(14, 89, 164, 239, 28, 103, 178, 253, 29, 104, 179, 254)(15, 90, 165, 240, 23, 98, 173, 248, 30, 105, 180, 255)(17, 92, 167, 242, 31, 106, 181, 256, 32, 107, 182, 257)(21, 96, 171, 246, 38, 113, 188, 263, 39, 114, 189, 264)(24, 99, 174, 249, 40, 115, 190, 265, 41, 116, 191, 266)(33, 108, 183, 258, 53, 128, 203, 278, 54, 129, 204, 279)(34, 109, 184, 259, 36, 111, 186, 261, 55, 130, 205, 280)(35, 110, 185, 260, 56, 131, 206, 281, 57, 132, 207, 282)(37, 112, 187, 262, 51, 126, 201, 276, 58, 133, 208, 283)(42, 117, 192, 267, 63, 138, 213, 288, 60, 135, 210, 285)(43, 118, 193, 268, 44, 119, 194, 269, 64, 139, 214, 289)(45, 120, 195, 270, 65, 140, 215, 290, 46, 121, 196, 271)(47, 122, 197, 272, 49, 124, 199, 274, 66, 141, 216, 291)(48, 123, 198, 273, 67, 142, 217, 292, 68, 143, 218, 293)(50, 125, 200, 275, 62, 137, 212, 287, 69, 144, 219, 294)(52, 127, 202, 277, 70, 145, 220, 295, 59, 134, 209, 284)(61, 136, 211, 286, 74, 149, 224, 299, 71, 146, 221, 296)(72, 147, 222, 297, 73, 148, 223, 298, 75, 150, 225, 300)
	L = (1, 77)(2, 79)(3, 83)(4, 76)(5, 87)(6, 89)(7, 91)(8, 84)(9, 78)(10, 96)(11, 98)(12, 88)(13, 80)(14, 90)(15, 81)(16, 92)(17, 82)(18, 108)(19, 101)(20, 111)(21, 97)(22, 85)(23, 99)(24, 86)(25, 117)(26, 110)(27, 119)(28, 121)(29, 106)(30, 124)(31, 123)(32, 126)(33, 109)(34, 93)(35, 94)(36, 112)(37, 95)(38, 134)(39, 115)(40, 136)(41, 137)(42, 118)(43, 100)(44, 120)(45, 102)(46, 122)(47, 103)(48, 104)(49, 125)(50, 105)(51, 127)(52, 107)(53, 116)(54, 131)(55, 144)(56, 146)(57, 140)(58, 148)(59, 135)(60, 113)(61, 114)(62, 128)(63, 133)(64, 150)(65, 142)(66, 139)(67, 132)(68, 145)(69, 147)(70, 149)(71, 129)(72, 130)(73, 138)(74, 143)(75, 141)(151, 227)(152, 229)(153, 233)(154, 226)(155, 237)(156, 239)(157, 241)(158, 234)(159, 228)(160, 246)(161, 248)(162, 238)(163, 230)(164, 240)(165, 231)(166, 242)(167, 232)(168, 258)(169, 251)(170, 261)(171, 247)(172, 235)(173, 249)(174, 236)(175, 267)(176, 260)(177, 269)(178, 271)(179, 256)(180, 274)(181, 273)(182, 276)(183, 259)(184, 243)(185, 244)(186, 262)(187, 245)(188, 284)(189, 265)(190, 286)(191, 287)(192, 268)(193, 250)(194, 270)(195, 252)(196, 272)(197, 253)(198, 254)(199, 275)(200, 255)(201, 277)(202, 257)(203, 266)(204, 281)(205, 294)(206, 296)(207, 290)(208, 298)(209, 285)(210, 263)(211, 264)(212, 278)(213, 283)(214, 300)(215, 292)(216, 289)(217, 282)(218, 295)(219, 297)(220, 299)(221, 279)(222, 280)(223, 288)(224, 293)(225, 291)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E26.1090
Transitivity :: VT+
Graph::
	v = 25 e = 150 f = 75
	degree seq :: [ 12^25 ]

E26.1093 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 3, 3})
Quotient :: loop^2
Aut^+ = (C5 x C5) : C3 (small group id <75, 2>)
Aut   = ((C5 x C5) : C3) : C2 (small group id <150, 5>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3, Y2^-1 * Y1^-1 * Y3, Y1^3, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y1^-1 * Y2^-1, Y2 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1 * Y2^-1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2^-1, Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 76, 151, 226, 4, 79, 154, 229, 7, 82, 157, 232)(2, 77, 152, 227, 8, 83, 158, 233, 10, 85, 160, 235)(3, 78, 153, 228, 12, 87, 162, 237, 5, 80, 155, 230)(6, 81, 156, 231, 18, 93, 168, 243, 13, 88, 163, 238)(9, 84, 159, 234, 23, 98, 173, 248, 15, 90, 165, 240)(11, 86, 161, 236, 25, 100, 175, 250, 27, 102, 177, 252)(14, 89, 164, 239, 30, 105, 180, 255, 31, 106, 181, 256)(16, 91, 166, 241, 33, 108, 183, 258, 21, 96, 171, 246)(17, 92, 167, 242, 19, 94, 169, 244, 35, 110, 185, 260)(20, 95, 170, 245, 38, 113, 188, 263, 39, 114, 189, 264)(22, 97, 172, 247, 24, 99, 174, 249, 42, 117, 192, 267)(26, 101, 176, 251, 48, 123, 198, 273, 28, 103, 178, 253)(29, 104, 179, 254, 51, 126, 201, 276, 46, 121, 196, 271)(32, 107, 182, 257, 55, 130, 205, 280, 53, 128, 203, 278)(34, 109, 184, 259, 58, 133, 208, 283, 36, 111, 186, 261)(37, 112, 187, 262, 54, 129, 204, 279, 61, 136, 211, 286)(40, 115, 190, 265, 65, 140, 215, 290, 63, 138, 213, 288)(41, 116, 191, 266, 67, 142, 217, 292, 43, 118, 193, 268)(44, 119, 194, 269, 64, 139, 214, 289, 70, 145, 220, 295)(45, 120, 195, 270, 66, 141, 216, 291, 68, 143, 218, 293)(47, 122, 197, 272, 49, 124, 199, 274, 72, 147, 222, 297)(50, 125, 200, 275, 74, 149, 224, 299, 56, 131, 206, 281)(52, 127, 202, 277, 73, 148, 223, 298, 71, 146, 221, 296)(57, 132, 207, 282, 59, 134, 209, 284, 62, 137, 212, 287)(60, 135, 210, 285, 75, 150, 225, 300, 69, 144, 219, 294)
	L = (1, 77)(2, 80)(3, 86)(4, 89)(5, 76)(6, 92)(7, 81)(8, 95)(9, 97)(10, 84)(11, 88)(12, 91)(13, 78)(14, 90)(15, 79)(16, 103)(17, 82)(18, 104)(19, 112)(20, 96)(21, 83)(22, 85)(23, 107)(24, 119)(25, 120)(26, 122)(27, 101)(28, 87)(29, 111)(30, 127)(31, 94)(32, 118)(33, 115)(34, 132)(35, 109)(36, 93)(37, 106)(38, 137)(39, 99)(40, 131)(41, 141)(42, 116)(43, 98)(44, 114)(45, 121)(46, 100)(47, 102)(48, 125)(49, 145)(50, 148)(51, 142)(52, 128)(53, 105)(54, 147)(55, 149)(56, 108)(57, 110)(58, 135)(59, 139)(60, 140)(61, 134)(62, 138)(63, 113)(64, 136)(65, 133)(66, 117)(67, 144)(68, 124)(69, 126)(70, 143)(71, 129)(72, 146)(73, 123)(74, 150)(75, 130)(151, 228)(152, 229)(153, 231)(154, 234)(155, 233)(156, 226)(157, 244)(158, 241)(159, 227)(160, 249)(161, 237)(162, 251)(163, 250)(164, 232)(165, 255)(166, 230)(167, 243)(168, 259)(169, 239)(170, 235)(171, 263)(172, 248)(173, 266)(174, 245)(175, 254)(176, 236)(177, 274)(178, 258)(179, 238)(180, 257)(181, 279)(182, 240)(183, 275)(184, 242)(185, 284)(186, 276)(187, 260)(188, 265)(189, 289)(190, 246)(191, 247)(192, 293)(193, 280)(194, 267)(195, 252)(196, 291)(197, 273)(198, 296)(199, 270)(200, 253)(201, 285)(202, 256)(203, 298)(204, 277)(205, 294)(206, 290)(207, 283)(208, 288)(209, 262)(210, 261)(211, 295)(212, 264)(213, 282)(214, 287)(215, 300)(216, 292)(217, 271)(218, 269)(219, 268)(220, 297)(221, 272)(222, 286)(223, 299)(224, 278)(225, 281)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E26.1091
Transitivity :: VT+
Graph::
	v = 25 e = 150 f = 75
	degree seq :: [ 12^25 ]

E26.1094 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 3, 3})
Quotient :: dipole
Aut^+ = (C5 x C5) : C3 (small group id <75, 2>)
Aut   = ((C5 x C5) : C3) : C2 (small group id <150, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, Y1^3, Y2^3, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^3, Y3 * Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y1 * Y3 * Y1^-1 * Y2^-1 * Y1 * Y3^-2 * Y1 * Y3^-1 * Y1 * Y2^-1, Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y1^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 76, 2, 77, 5, 80)(3, 78, 8, 83, 9, 84)(4, 79, 10, 85, 11, 86)(6, 81, 14, 89, 15, 90)(7, 82, 16, 91, 17, 92)(12, 87, 25, 100, 22, 97)(13, 88, 26, 101, 27, 102)(18, 93, 33, 108, 34, 109)(19, 94, 23, 98, 35, 110)(20, 95, 36, 111, 37, 112)(21, 96, 38, 113, 39, 114)(24, 99, 40, 115, 41, 116)(28, 103, 46, 121, 47, 122)(29, 104, 31, 106, 48, 123)(30, 105, 49, 124, 50, 125)(32, 107, 51, 126, 52, 127)(42, 117, 63, 138, 60, 135)(43, 118, 44, 119, 64, 139)(45, 120, 65, 140, 53, 128)(54, 129, 56, 131, 71, 146)(55, 130, 69, 144, 72, 147)(57, 132, 62, 137, 67, 142)(58, 133, 73, 148, 59, 134)(61, 136, 74, 149, 66, 141)(68, 143, 70, 145, 75, 150)(151, 226, 153, 228, 154, 229)(152, 227, 156, 231, 157, 232)(155, 230, 162, 237, 163, 238)(158, 233, 168, 243, 169, 244)(159, 234, 166, 241, 170, 245)(160, 235, 171, 246, 172, 247)(161, 236, 173, 248, 174, 249)(164, 239, 178, 253, 179, 254)(165, 240, 176, 251, 180, 255)(167, 242, 181, 256, 182, 257)(175, 250, 192, 267, 193, 268)(177, 252, 194, 269, 195, 270)(183, 258, 203, 278, 204, 279)(184, 259, 186, 261, 205, 280)(185, 260, 206, 281, 207, 282)(187, 262, 201, 276, 208, 283)(188, 263, 209, 284, 210, 285)(189, 264, 190, 265, 211, 286)(191, 266, 212, 287, 196, 271)(197, 272, 199, 274, 216, 291)(198, 273, 217, 292, 218, 293)(200, 275, 215, 290, 219, 294)(202, 277, 220, 295, 213, 288)(214, 289, 225, 300, 221, 296)(222, 297, 223, 298, 224, 299)
	L = (1, 154)(2, 157)(3, 151)(4, 153)(5, 163)(6, 152)(7, 156)(8, 169)(9, 170)(10, 172)(11, 174)(12, 155)(13, 162)(14, 179)(15, 180)(16, 159)(17, 182)(18, 158)(19, 168)(20, 166)(21, 160)(22, 171)(23, 161)(24, 173)(25, 193)(26, 165)(27, 195)(28, 164)(29, 178)(30, 176)(31, 167)(32, 181)(33, 204)(34, 205)(35, 207)(36, 184)(37, 208)(38, 210)(39, 211)(40, 189)(41, 196)(42, 175)(43, 192)(44, 177)(45, 194)(46, 212)(47, 216)(48, 218)(49, 197)(50, 219)(51, 187)(52, 213)(53, 183)(54, 203)(55, 186)(56, 185)(57, 206)(58, 201)(59, 188)(60, 209)(61, 190)(62, 191)(63, 220)(64, 221)(65, 200)(66, 199)(67, 198)(68, 217)(69, 215)(70, 202)(71, 225)(72, 224)(73, 222)(74, 223)(75, 214)(76, 226)(77, 227)(78, 228)(79, 229)(80, 230)(81, 231)(82, 232)(83, 233)(84, 234)(85, 235)(86, 236)(87, 237)(88, 238)(89, 239)(90, 240)(91, 241)(92, 242)(93, 243)(94, 244)(95, 245)(96, 246)(97, 247)(98, 248)(99, 249)(100, 250)(101, 251)(102, 252)(103, 253)(104, 254)(105, 255)(106, 256)(107, 257)(108, 258)(109, 259)(110, 260)(111, 261)(112, 262)(113, 263)(114, 264)(115, 265)(116, 266)(117, 267)(118, 268)(119, 269)(120, 270)(121, 271)(122, 272)(123, 273)(124, 274)(125, 275)(126, 276)(127, 277)(128, 278)(129, 279)(130, 280)(131, 281)(132, 282)(133, 283)(134, 284)(135, 285)(136, 286)(137, 287)(138, 288)(139, 289)(140, 290)(141, 291)(142, 292)(143, 293)(144, 294)(145, 295)(146, 296)(147, 297)(148, 298)(149, 299)(150, 300)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 50 e = 150 f = 50
	degree seq :: [ 6^50 ]

E26.1095 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 3, 3})
Quotient :: dipole
Aut^+ = (C5 x C5) : C3 (small group id <75, 2>)
Aut   = ((C5 x C5) : C3) : C2 (small group id <150, 5>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3, Y1^3, (R * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y3 * Y2^-1 * Y1 * Y3^-1, Y1 * Y3^-1 * Y1 * Y3 * Y2^-1, Y3 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, Y2 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y1^-1, Y1 * Y2 * Y1^-1 * Y2^-1 * Y3 * Y2, Y1^-1 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y3, (R * Y2 * Y3^-1)^2, Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y2, (Y3 * Y2^-1)^3, Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2, Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y1, (Y2 * Y1^-1)^3, (Y3^-1 * Y1^-1)^3, Y3 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y1 * Y2^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 76, 2, 77, 5, 80)(3, 78, 12, 87, 14, 89)(4, 79, 16, 91, 18, 93)(6, 81, 24, 99, 26, 101)(7, 82, 28, 103, 30, 105)(8, 83, 32, 107, 34, 109)(9, 84, 36, 111, 38, 113)(10, 85, 39, 114, 41, 116)(11, 86, 15, 90, 44, 119)(13, 88, 48, 123, 50, 125)(17, 92, 33, 108, 62, 137)(19, 94, 21, 96, 65, 140)(20, 95, 49, 124, 67, 142)(22, 97, 60, 135, 63, 138)(23, 98, 35, 110, 58, 133)(25, 100, 71, 146, 61, 136)(27, 102, 45, 120, 47, 122)(29, 104, 46, 121, 75, 150)(31, 106, 64, 139, 53, 128)(37, 112, 66, 141, 72, 147)(40, 115, 74, 149, 73, 148)(42, 117, 70, 145, 55, 130)(43, 118, 54, 129, 57, 132)(51, 126, 52, 127, 69, 144)(56, 131, 59, 134, 68, 143)(151, 226, 153, 228, 156, 231)(152, 227, 158, 233, 160, 235)(154, 229, 167, 242, 169, 244)(155, 230, 170, 245, 172, 247)(157, 232, 179, 254, 181, 256)(159, 234, 187, 262, 168, 243)(161, 236, 193, 268, 195, 270)(162, 237, 196, 271, 183, 258)(163, 238, 199, 274, 201, 276)(164, 239, 189, 264, 203, 278)(165, 240, 205, 280, 206, 281)(166, 241, 207, 282, 209, 284)(171, 246, 200, 275, 188, 263)(173, 248, 219, 294, 220, 295)(174, 249, 192, 267, 217, 292)(175, 250, 191, 266, 222, 297)(176, 251, 212, 287, 218, 293)(177, 252, 184, 259, 210, 285)(178, 253, 197, 272, 224, 299)(180, 255, 208, 283, 194, 269)(182, 257, 204, 279, 216, 291)(185, 260, 214, 289, 221, 296)(186, 261, 202, 277, 211, 286)(190, 265, 213, 288, 198, 273)(215, 290, 225, 300, 223, 298)
	L = (1, 154)(2, 159)(3, 163)(4, 157)(5, 171)(6, 175)(7, 151)(8, 183)(9, 161)(10, 190)(11, 152)(12, 188)(13, 165)(14, 202)(15, 153)(16, 208)(17, 211)(18, 214)(19, 205)(20, 216)(21, 173)(22, 218)(23, 155)(24, 186)(25, 177)(26, 187)(27, 156)(28, 170)(29, 220)(30, 174)(31, 198)(32, 169)(33, 185)(34, 225)(35, 158)(36, 180)(37, 223)(38, 197)(39, 215)(40, 192)(41, 200)(42, 160)(43, 181)(44, 189)(45, 212)(46, 217)(47, 162)(48, 193)(49, 168)(50, 209)(51, 184)(52, 204)(53, 172)(54, 164)(55, 182)(56, 221)(57, 196)(58, 210)(59, 191)(60, 166)(61, 213)(62, 219)(63, 167)(64, 199)(65, 194)(66, 178)(67, 207)(68, 203)(69, 195)(70, 222)(71, 224)(72, 179)(73, 176)(74, 206)(75, 201)(76, 226)(77, 227)(78, 228)(79, 229)(80, 230)(81, 231)(82, 232)(83, 233)(84, 234)(85, 235)(86, 236)(87, 237)(88, 238)(89, 239)(90, 240)(91, 241)(92, 242)(93, 243)(94, 244)(95, 245)(96, 246)(97, 247)(98, 248)(99, 249)(100, 250)(101, 251)(102, 252)(103, 253)(104, 254)(105, 255)(106, 256)(107, 257)(108, 258)(109, 259)(110, 260)(111, 261)(112, 262)(113, 263)(114, 264)(115, 265)(116, 266)(117, 267)(118, 268)(119, 269)(120, 270)(121, 271)(122, 272)(123, 273)(124, 274)(125, 275)(126, 276)(127, 277)(128, 278)(129, 279)(130, 280)(131, 281)(132, 282)(133, 283)(134, 284)(135, 285)(136, 286)(137, 287)(138, 288)(139, 289)(140, 290)(141, 291)(142, 292)(143, 293)(144, 294)(145, 295)(146, 296)(147, 297)(148, 298)(149, 299)(150, 300)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 50 e = 150 f = 50
	degree seq :: [ 6^50 ]

E26.1096 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 15, 15})
Quotient :: edge
Aut^+ = C15 x C5 (small group id <75, 3>)
Aut   = (C15 x C5) : C2 (small group id <150, 12>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^5, T2^15 ]
Map:: non-degenerate
	R = (1, 3, 9, 18, 28, 38, 48, 58, 63, 53, 43, 33, 23, 13, 5)(2, 7, 16, 26, 36, 46, 56, 66, 67, 57, 47, 37, 27, 17, 8)(4, 10, 19, 29, 39, 49, 59, 68, 71, 62, 52, 42, 32, 22, 12)(6, 14, 24, 34, 44, 54, 64, 72, 73, 65, 55, 45, 35, 25, 15)(11, 20, 30, 40, 50, 60, 69, 74, 75, 70, 61, 51, 41, 31, 21)(76, 77, 81, 86, 79)(78, 82, 89, 95, 85)(80, 83, 90, 96, 87)(84, 91, 99, 105, 94)(88, 92, 100, 106, 97)(93, 101, 109, 115, 104)(98, 102, 110, 116, 107)(103, 111, 119, 125, 114)(108, 112, 120, 126, 117)(113, 121, 129, 135, 124)(118, 122, 130, 136, 127)(123, 131, 139, 144, 134)(128, 132, 140, 145, 137)(133, 141, 147, 149, 143)(138, 142, 148, 150, 146)
	L = (1, 76)(2, 77)(3, 78)(4, 79)(5, 80)(6, 81)(7, 82)(8, 83)(9, 84)(10, 85)(11, 86)(12, 87)(13, 88)(14, 89)(15, 90)(16, 91)(17, 92)(18, 93)(19, 94)(20, 95)(21, 96)(22, 97)(23, 98)(24, 99)(25, 100)(26, 101)(27, 102)(28, 103)(29, 104)(30, 105)(31, 106)(32, 107)(33, 108)(34, 109)(35, 110)(36, 111)(37, 112)(38, 113)(39, 114)(40, 115)(41, 116)(42, 117)(43, 118)(44, 119)(45, 120)(46, 121)(47, 122)(48, 123)(49, 124)(50, 125)(51, 126)(52, 127)(53, 128)(54, 129)(55, 130)(56, 131)(57, 132)(58, 133)(59, 134)(60, 135)(61, 136)(62, 137)(63, 138)(64, 139)(65, 140)(66, 141)(67, 142)(68, 143)(69, 144)(70, 145)(71, 146)(72, 147)(73, 148)(74, 149)(75, 150)
	local type(s) :: { ( 30^5 ), ( 30^15 ) }
Outer automorphisms :: reflexible
Dual of E26.1097
Transitivity :: ET+
Graph:: simple bipartite
	v = 20 e = 75 f = 5
	degree seq :: [ 5^15, 15^5 ]

E26.1097 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 15, 15})
Quotient :: loop
Aut^+ = C15 x C5 (small group id <75, 3>)
Aut   = (C15 x C5) : C2 (small group id <150, 12>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^5, T2^15 ]
Map:: non-degenerate
	R = (1, 76, 3, 78, 9, 84, 18, 93, 28, 103, 38, 113, 48, 123, 58, 133, 63, 138, 53, 128, 43, 118, 33, 108, 23, 98, 13, 88, 5, 80)(2, 77, 7, 82, 16, 91, 26, 101, 36, 111, 46, 121, 56, 131, 66, 141, 67, 142, 57, 132, 47, 122, 37, 112, 27, 102, 17, 92, 8, 83)(4, 79, 10, 85, 19, 94, 29, 104, 39, 114, 49, 124, 59, 134, 68, 143, 71, 146, 62, 137, 52, 127, 42, 117, 32, 107, 22, 97, 12, 87)(6, 81, 14, 89, 24, 99, 34, 109, 44, 119, 54, 129, 64, 139, 72, 147, 73, 148, 65, 140, 55, 130, 45, 120, 35, 110, 25, 100, 15, 90)(11, 86, 20, 95, 30, 105, 40, 115, 50, 125, 60, 135, 69, 144, 74, 149, 75, 150, 70, 145, 61, 136, 51, 126, 41, 116, 31, 106, 21, 96)
	L = (1, 77)(2, 81)(3, 82)(4, 76)(5, 83)(6, 86)(7, 89)(8, 90)(9, 91)(10, 78)(11, 79)(12, 80)(13, 92)(14, 95)(15, 96)(16, 99)(17, 100)(18, 101)(19, 84)(20, 85)(21, 87)(22, 88)(23, 102)(24, 105)(25, 106)(26, 109)(27, 110)(28, 111)(29, 93)(30, 94)(31, 97)(32, 98)(33, 112)(34, 115)(35, 116)(36, 119)(37, 120)(38, 121)(39, 103)(40, 104)(41, 107)(42, 108)(43, 122)(44, 125)(45, 126)(46, 129)(47, 130)(48, 131)(49, 113)(50, 114)(51, 117)(52, 118)(53, 132)(54, 135)(55, 136)(56, 139)(57, 140)(58, 141)(59, 123)(60, 124)(61, 127)(62, 128)(63, 142)(64, 144)(65, 145)(66, 147)(67, 148)(68, 133)(69, 134)(70, 137)(71, 138)(72, 149)(73, 150)(74, 143)(75, 146)
	local type(s) :: { ( 5, 15, 5, 15, 5, 15, 5, 15, 5, 15, 5, 15, 5, 15, 5, 15, 5, 15, 5, 15, 5, 15, 5, 15, 5, 15, 5, 15, 5, 15 ) }
Outer automorphisms :: reflexible
Dual of E26.1096
Transitivity :: ET+ VT+ AT
Graph::
	v = 5 e = 75 f = 20
	degree seq :: [ 30^5 ]

E26.1098 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 15, 15})
Quotient :: dipole
Aut^+ = C15 x C5 (small group id <75, 3>)
Aut   = (C15 x C5) : C2 (small group id <150, 12>)
|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, Y3^15, Y2^15 ]
Map::
	R = (1, 76, 2, 77, 6, 81, 11, 86, 4, 79)(3, 78, 7, 82, 14, 89, 20, 95, 10, 85)(5, 80, 8, 83, 15, 90, 21, 96, 12, 87)(9, 84, 16, 91, 24, 99, 30, 105, 19, 94)(13, 88, 17, 92, 25, 100, 31, 106, 22, 97)(18, 93, 26, 101, 34, 109, 40, 115, 29, 104)(23, 98, 27, 102, 35, 110, 41, 116, 32, 107)(28, 103, 36, 111, 44, 119, 50, 125, 39, 114)(33, 108, 37, 112, 45, 120, 51, 126, 42, 117)(38, 113, 46, 121, 54, 129, 60, 135, 49, 124)(43, 118, 47, 122, 55, 130, 61, 136, 52, 127)(48, 123, 56, 131, 64, 139, 69, 144, 59, 134)(53, 128, 57, 132, 65, 140, 70, 145, 62, 137)(58, 133, 66, 141, 72, 147, 74, 149, 68, 143)(63, 138, 67, 142, 73, 148, 75, 150, 71, 146)(151, 226, 153, 228, 159, 234, 168, 243, 178, 253, 188, 263, 198, 273, 208, 283, 213, 288, 203, 278, 193, 268, 183, 258, 173, 248, 163, 238, 155, 230)(152, 227, 157, 232, 166, 241, 176, 251, 186, 261, 196, 271, 206, 281, 216, 291, 217, 292, 207, 282, 197, 272, 187, 262, 177, 252, 167, 242, 158, 233)(154, 229, 160, 235, 169, 244, 179, 254, 189, 264, 199, 274, 209, 284, 218, 293, 221, 296, 212, 287, 202, 277, 192, 267, 182, 257, 172, 247, 162, 237)(156, 231, 164, 239, 174, 249, 184, 259, 194, 269, 204, 279, 214, 289, 222, 297, 223, 298, 215, 290, 205, 280, 195, 270, 185, 260, 175, 250, 165, 240)(161, 236, 170, 245, 180, 255, 190, 265, 200, 275, 210, 285, 219, 294, 224, 299, 225, 300, 220, 295, 211, 286, 201, 276, 191, 266, 181, 256, 171, 246)
	L = (1, 154)(2, 151)(3, 160)(4, 161)(5, 162)(6, 152)(7, 153)(8, 155)(9, 169)(10, 170)(11, 156)(12, 171)(13, 172)(14, 157)(15, 158)(16, 159)(17, 163)(18, 179)(19, 180)(20, 164)(21, 165)(22, 181)(23, 182)(24, 166)(25, 167)(26, 168)(27, 173)(28, 189)(29, 190)(30, 174)(31, 175)(32, 191)(33, 192)(34, 176)(35, 177)(36, 178)(37, 183)(38, 199)(39, 200)(40, 184)(41, 185)(42, 201)(43, 202)(44, 186)(45, 187)(46, 188)(47, 193)(48, 209)(49, 210)(50, 194)(51, 195)(52, 211)(53, 212)(54, 196)(55, 197)(56, 198)(57, 203)(58, 218)(59, 219)(60, 204)(61, 205)(62, 220)(63, 221)(64, 206)(65, 207)(66, 208)(67, 213)(68, 224)(69, 214)(70, 215)(71, 225)(72, 216)(73, 217)(74, 222)(75, 223)(76, 226)(77, 227)(78, 228)(79, 229)(80, 230)(81, 231)(82, 232)(83, 233)(84, 234)(85, 235)(86, 236)(87, 237)(88, 238)(89, 239)(90, 240)(91, 241)(92, 242)(93, 243)(94, 244)(95, 245)(96, 246)(97, 247)(98, 248)(99, 249)(100, 250)(101, 251)(102, 252)(103, 253)(104, 254)(105, 255)(106, 256)(107, 257)(108, 258)(109, 259)(110, 260)(111, 261)(112, 262)(113, 263)(114, 264)(115, 265)(116, 266)(117, 267)(118, 268)(119, 269)(120, 270)(121, 271)(122, 272)(123, 273)(124, 274)(125, 275)(126, 276)(127, 277)(128, 278)(129, 279)(130, 280)(131, 281)(132, 282)(133, 283)(134, 284)(135, 285)(136, 286)(137, 287)(138, 288)(139, 289)(140, 290)(141, 291)(142, 292)(143, 293)(144, 294)(145, 295)(146, 296)(147, 297)(148, 298)(149, 299)(150, 300)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1099
Graph:: bipartite
	v = 20 e = 150 f = 80
	degree seq :: [ 10^15, 30^5 ]

E26.1099 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 15, 15})
Quotient :: dipole
Aut^+ = C15 x C5 (small group id <75, 3>)
Aut   = (C15 x C5) : C2 (small group id <150, 12>)
|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^-15, Y1^15 ]
Map::
	R = (1, 76, 2, 77, 6, 81, 14, 89, 24, 99, 34, 109, 44, 119, 54, 129, 61, 136, 51, 126, 41, 116, 31, 106, 21, 96, 11, 86, 4, 79)(3, 78, 7, 82, 15, 90, 25, 100, 35, 110, 45, 120, 55, 130, 64, 139, 69, 144, 60, 135, 50, 125, 40, 115, 30, 105, 20, 95, 10, 85)(5, 80, 8, 83, 16, 91, 26, 101, 36, 111, 46, 121, 56, 131, 65, 140, 70, 145, 62, 137, 52, 127, 42, 117, 32, 107, 22, 97, 12, 87)(9, 84, 17, 92, 27, 102, 37, 112, 47, 122, 57, 132, 66, 141, 72, 147, 74, 149, 68, 143, 59, 134, 49, 124, 39, 114, 29, 104, 19, 94)(13, 88, 18, 93, 28, 103, 38, 113, 48, 123, 58, 133, 67, 142, 73, 148, 75, 150, 71, 146, 63, 138, 53, 128, 43, 118, 33, 108, 23, 98)(151, 226)(152, 227)(153, 228)(154, 229)(155, 230)(156, 231)(157, 232)(158, 233)(159, 234)(160, 235)(161, 236)(162, 237)(163, 238)(164, 239)(165, 240)(166, 241)(167, 242)(168, 243)(169, 244)(170, 245)(171, 246)(172, 247)(173, 248)(174, 249)(175, 250)(176, 251)(177, 252)(178, 253)(179, 254)(180, 255)(181, 256)(182, 257)(183, 258)(184, 259)(185, 260)(186, 261)(187, 262)(188, 263)(189, 264)(190, 265)(191, 266)(192, 267)(193, 268)(194, 269)(195, 270)(196, 271)(197, 272)(198, 273)(199, 274)(200, 275)(201, 276)(202, 277)(203, 278)(204, 279)(205, 280)(206, 281)(207, 282)(208, 283)(209, 284)(210, 285)(211, 286)(212, 287)(213, 288)(214, 289)(215, 290)(216, 291)(217, 292)(218, 293)(219, 294)(220, 295)(221, 296)(222, 297)(223, 298)(224, 299)(225, 300)
	L = (1, 153)(2, 157)(3, 159)(4, 160)(5, 151)(6, 165)(7, 167)(8, 152)(9, 163)(10, 169)(11, 170)(12, 154)(13, 155)(14, 175)(15, 177)(16, 156)(17, 168)(18, 158)(19, 173)(20, 179)(21, 180)(22, 161)(23, 162)(24, 185)(25, 187)(26, 164)(27, 178)(28, 166)(29, 183)(30, 189)(31, 190)(32, 171)(33, 172)(34, 195)(35, 197)(36, 174)(37, 188)(38, 176)(39, 193)(40, 199)(41, 200)(42, 181)(43, 182)(44, 205)(45, 207)(46, 184)(47, 198)(48, 186)(49, 203)(50, 209)(51, 210)(52, 191)(53, 192)(54, 214)(55, 216)(56, 194)(57, 208)(58, 196)(59, 213)(60, 218)(61, 219)(62, 201)(63, 202)(64, 222)(65, 204)(66, 217)(67, 206)(68, 221)(69, 224)(70, 211)(71, 212)(72, 223)(73, 215)(74, 225)(75, 220)(76, 226)(77, 227)(78, 228)(79, 229)(80, 230)(81, 231)(82, 232)(83, 233)(84, 234)(85, 235)(86, 236)(87, 237)(88, 238)(89, 239)(90, 240)(91, 241)(92, 242)(93, 243)(94, 244)(95, 245)(96, 246)(97, 247)(98, 248)(99, 249)(100, 250)(101, 251)(102, 252)(103, 253)(104, 254)(105, 255)(106, 256)(107, 257)(108, 258)(109, 259)(110, 260)(111, 261)(112, 262)(113, 263)(114, 264)(115, 265)(116, 266)(117, 267)(118, 268)(119, 269)(120, 270)(121, 271)(122, 272)(123, 273)(124, 274)(125, 275)(126, 276)(127, 277)(128, 278)(129, 279)(130, 280)(131, 281)(132, 282)(133, 283)(134, 284)(135, 285)(136, 286)(137, 287)(138, 288)(139, 289)(140, 290)(141, 291)(142, 292)(143, 293)(144, 294)(145, 295)(146, 296)(147, 297)(148, 298)(149, 299)(150, 300)
	local type(s) :: { ( 10, 30 ), ( 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30 ) }
Outer automorphisms :: reflexible
Dual of E26.1098
Graph:: simple bipartite
	v = 80 e = 150 f = 20
	degree seq :: [ 2^75, 30^5 ]

E26.1100 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 39})
Quotient :: dipole
Aut^+ = C3 x D26 (small group id <78, 4>)
Aut   = S3 x D26 (small group id <156, 11>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y2^-1 * Y1 * Y2 * Y1, (R * Y2)^2, Y3^13 ]
Map:: non-degenerate
	R = (1, 79, 2, 80)(3, 81, 7, 85)(4, 82, 10, 88)(5, 83, 9, 87)(6, 84, 8, 86)(11, 89, 18, 96)(12, 90, 17, 95)(13, 91, 22, 100)(14, 92, 21, 99)(15, 93, 20, 98)(16, 94, 19, 97)(23, 101, 30, 108)(24, 102, 29, 107)(25, 103, 34, 112)(26, 104, 33, 111)(27, 105, 32, 110)(28, 106, 31, 109)(35, 113, 42, 120)(36, 114, 41, 119)(37, 115, 46, 124)(38, 116, 45, 123)(39, 117, 44, 122)(40, 118, 43, 121)(47, 125, 54, 132)(48, 126, 53, 131)(49, 127, 58, 136)(50, 128, 57, 135)(51, 129, 56, 134)(52, 130, 55, 133)(59, 137, 66, 144)(60, 138, 65, 143)(61, 139, 70, 148)(62, 140, 69, 147)(63, 141, 68, 146)(64, 142, 67, 145)(71, 149, 76, 154)(72, 150, 75, 153)(73, 151, 78, 156)(74, 152, 77, 155)(157, 235, 159, 237, 161, 239)(158, 236, 163, 241, 165, 243)(160, 238, 167, 245, 170, 248)(162, 240, 168, 246, 171, 249)(164, 242, 173, 251, 176, 254)(166, 244, 174, 252, 177, 255)(169, 247, 179, 257, 182, 260)(172, 250, 180, 258, 183, 261)(175, 253, 185, 263, 188, 266)(178, 256, 186, 264, 189, 267)(181, 259, 191, 269, 194, 272)(184, 262, 192, 270, 195, 273)(187, 265, 197, 275, 200, 278)(190, 268, 198, 276, 201, 279)(193, 271, 203, 281, 206, 284)(196, 274, 204, 282, 207, 285)(199, 277, 209, 287, 212, 290)(202, 280, 210, 288, 213, 291)(205, 283, 215, 293, 218, 296)(208, 286, 216, 294, 219, 297)(211, 289, 221, 299, 224, 302)(214, 292, 222, 300, 225, 303)(217, 295, 227, 305, 229, 307)(220, 298, 228, 306, 230, 308)(223, 301, 231, 309, 233, 311)(226, 304, 232, 310, 234, 312)
	L = (1, 160)(2, 164)(3, 167)(4, 169)(5, 170)(6, 157)(7, 173)(8, 175)(9, 176)(10, 158)(11, 179)(12, 159)(13, 181)(14, 182)(15, 161)(16, 162)(17, 185)(18, 163)(19, 187)(20, 188)(21, 165)(22, 166)(23, 191)(24, 168)(25, 193)(26, 194)(27, 171)(28, 172)(29, 197)(30, 174)(31, 199)(32, 200)(33, 177)(34, 178)(35, 203)(36, 180)(37, 205)(38, 206)(39, 183)(40, 184)(41, 209)(42, 186)(43, 211)(44, 212)(45, 189)(46, 190)(47, 215)(48, 192)(49, 217)(50, 218)(51, 195)(52, 196)(53, 221)(54, 198)(55, 223)(56, 224)(57, 201)(58, 202)(59, 227)(60, 204)(61, 220)(62, 229)(63, 207)(64, 208)(65, 231)(66, 210)(67, 226)(68, 233)(69, 213)(70, 214)(71, 228)(72, 216)(73, 230)(74, 219)(75, 232)(76, 222)(77, 234)(78, 225)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	local type(s) :: { ( 4, 78, 4, 78 ), ( 4, 78, 4, 78, 4, 78 ) }
Outer automorphisms :: reflexible
Dual of E26.1101
Graph:: simple bipartite
	v = 65 e = 156 f = 41
	degree seq :: [ 4^39, 6^26 ]

E26.1101 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 39})
Quotient :: dipole
Aut^+ = C3 x D26 (small group id <78, 4>)
Aut   = S3 x D26 (small group id <156, 11>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1, Y3^-1), (Y2 * Y3)^2, (R * Y1)^2, (R * Y3)^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, Y3^-1 * Y1 * Y3^-3 * Y1 * Y3 * Y1^-5, Y3^-1 * Y1^12, Y3^13 ]
Map:: non-degenerate
	R = (1, 79, 2, 80, 7, 85, 21, 99, 37, 115, 49, 127, 61, 139, 72, 150, 59, 137, 46, 124, 36, 114, 16, 94, 4, 82, 9, 87, 23, 101, 20, 98, 30, 108, 42, 120, 54, 132, 66, 144, 71, 149, 58, 136, 48, 126, 35, 113, 15, 93, 29, 107, 19, 97, 6, 84, 10, 88, 24, 102, 39, 117, 51, 129, 63, 141, 70, 148, 60, 138, 47, 125, 34, 112, 18, 96, 5, 83)(3, 81, 11, 89, 31, 109, 43, 121, 55, 133, 67, 145, 76, 154, 75, 153, 62, 140, 52, 130, 41, 119, 22, 100, 12, 90, 28, 106, 17, 95, 33, 111, 45, 123, 57, 135, 69, 147, 78, 156, 74, 152, 65, 143, 50, 128, 40, 118, 27, 105, 8, 86, 25, 103, 14, 92, 32, 110, 44, 122, 56, 134, 68, 146, 77, 155, 73, 151, 64, 142, 53, 131, 38, 116, 26, 104, 13, 91)(157, 235, 159, 237)(158, 236, 164, 242)(160, 238, 170, 248)(161, 239, 173, 251)(162, 240, 168, 246)(163, 241, 178, 256)(165, 243, 184, 262)(166, 244, 182, 260)(167, 245, 185, 263)(169, 247, 179, 257)(171, 249, 189, 267)(172, 250, 187, 265)(174, 252, 188, 266)(175, 253, 181, 259)(176, 254, 183, 261)(177, 255, 194, 272)(180, 258, 196, 274)(186, 264, 197, 275)(190, 268, 199, 277)(191, 269, 200, 278)(192, 270, 201, 279)(193, 271, 206, 284)(195, 273, 208, 286)(198, 276, 209, 287)(202, 280, 212, 290)(203, 281, 213, 291)(204, 282, 211, 289)(205, 283, 218, 296)(207, 285, 220, 298)(210, 288, 221, 299)(214, 292, 225, 303)(215, 293, 223, 301)(216, 294, 224, 302)(217, 295, 229, 307)(219, 297, 230, 308)(222, 300, 231, 309)(226, 304, 232, 310)(227, 305, 233, 311)(228, 306, 234, 312)
	L = (1, 160)(2, 165)(3, 168)(4, 171)(5, 172)(6, 157)(7, 179)(8, 182)(9, 185)(10, 158)(11, 184)(12, 183)(13, 178)(14, 159)(15, 190)(16, 191)(17, 181)(18, 192)(19, 161)(20, 162)(21, 176)(22, 196)(23, 175)(24, 163)(25, 169)(26, 197)(27, 194)(28, 164)(29, 174)(30, 166)(31, 173)(32, 167)(33, 170)(34, 202)(35, 203)(36, 204)(37, 186)(38, 208)(39, 177)(40, 209)(41, 206)(42, 180)(43, 189)(44, 187)(45, 188)(46, 214)(47, 215)(48, 216)(49, 198)(50, 220)(51, 193)(52, 221)(53, 218)(54, 195)(55, 201)(56, 199)(57, 200)(58, 226)(59, 227)(60, 228)(61, 210)(62, 230)(63, 205)(64, 231)(65, 229)(66, 207)(67, 213)(68, 211)(69, 212)(70, 217)(71, 219)(72, 222)(73, 232)(74, 233)(75, 234)(76, 225)(77, 223)(78, 224)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1100
Graph:: bipartite
	v = 41 e = 156 f = 65
	degree seq :: [ 4^39, 78^2 ]

E26.1102 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 39})
Quotient :: halfedge^2
Aut^+ = D78 (small group id <78, 5>)
Aut   = D156 (small group id <156, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y1)^2, R * Y3 * R * Y2, (Y3 * Y1)^2, (R * Y1)^2, Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3, Y3 * Y1^-4 * Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y2, Y1^-4 * Y3 * Y2 * Y1^-8 ]
Map:: non-degenerate
	R = (1, 80, 2, 84, 6, 92, 14, 104, 26, 120, 42, 132, 54, 144, 66, 140, 62, 128, 50, 116, 38, 101, 23, 90, 12, 96, 18, 108, 30, 114, 36, 125, 47, 137, 59, 149, 71, 155, 77, 156, 78, 152, 74, 142, 64, 130, 52, 118, 40, 112, 34, 98, 20, 88, 10, 95, 17, 107, 29, 123, 45, 135, 57, 147, 69, 143, 65, 131, 53, 119, 41, 103, 25, 91, 13, 83, 5, 79)(3, 87, 9, 97, 19, 111, 33, 126, 48, 138, 60, 150, 72, 154, 76, 148, 70, 136, 58, 124, 46, 109, 31, 99, 21, 113, 35, 110, 32, 102, 24, 117, 39, 129, 51, 141, 63, 151, 73, 153, 75, 146, 68, 134, 56, 122, 44, 106, 28, 94, 16, 86, 8, 82, 4, 89, 11, 100, 22, 115, 37, 127, 49, 139, 61, 145, 67, 133, 55, 121, 43, 105, 27, 93, 15, 85, 7, 81)
	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, 66)(63, 74)(65, 72)(68, 71)(69, 76)(73, 78)(75, 77)(79, 82)(80, 86)(81, 88)(83, 89)(84, 94)(85, 95)(87, 98)(90, 102)(91, 100)(92, 106)(93, 107)(96, 110)(97, 112)(99, 114)(101, 117)(103, 115)(104, 122)(105, 123)(108, 113)(109, 125)(111, 118)(116, 129)(119, 127)(120, 134)(121, 135)(124, 137)(126, 130)(128, 141)(131, 139)(132, 146)(133, 147)(136, 149)(138, 142)(140, 151)(143, 145)(144, 153)(148, 155)(150, 152)(154, 156)
	local type(s) :: { ( 6^78 ) }
Outer automorphisms :: reflexible
Dual of E26.1103
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 78 f = 26
	degree seq :: [ 78^2 ]

E26.1103 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 39})
Quotient :: halfedge^2
Aut^+ = D78 (small group id <78, 5>)
Aut   = D156 (small group id <156, 17>)
|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)^13, (Y2 * Y1 * Y3)^39 ]
Map:: non-degenerate
	R = (1, 80, 2, 83, 5, 79)(3, 86, 8, 84, 6, 81)(4, 88, 10, 85, 7, 82)(9, 90, 12, 92, 14, 87)(11, 91, 13, 94, 16, 89)(15, 98, 20, 96, 18, 93)(17, 100, 22, 97, 19, 95)(21, 102, 24, 104, 26, 99)(23, 103, 25, 106, 28, 101)(27, 110, 32, 108, 30, 105)(29, 112, 34, 109, 31, 107)(33, 114, 36, 116, 38, 111)(35, 115, 37, 118, 40, 113)(39, 122, 44, 120, 42, 117)(41, 124, 46, 121, 43, 119)(45, 126, 48, 128, 50, 123)(47, 127, 49, 130, 52, 125)(51, 134, 56, 132, 54, 129)(53, 136, 58, 133, 55, 131)(57, 138, 60, 140, 62, 135)(59, 139, 61, 142, 64, 137)(63, 146, 68, 144, 66, 141)(65, 148, 70, 145, 67, 143)(69, 150, 72, 152, 74, 147)(71, 151, 73, 154, 76, 149)(75, 156, 78, 155, 77, 153)
	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, 77)(74, 78)(79, 82)(80, 85)(81, 87)(83, 88)(84, 90)(86, 92)(89, 95)(91, 97)(93, 99)(94, 100)(96, 102)(98, 104)(101, 107)(103, 109)(105, 111)(106, 112)(108, 114)(110, 116)(113, 119)(115, 121)(117, 123)(118, 124)(120, 126)(122, 128)(125, 131)(127, 133)(129, 135)(130, 136)(132, 138)(134, 140)(137, 143)(139, 145)(141, 147)(142, 148)(144, 150)(146, 152)(149, 153)(151, 155)(154, 156)
	local type(s) :: { ( 78^6 ) }
Outer automorphisms :: reflexible
Dual of E26.1102
Transitivity :: VT+ AT
Graph:: bipartite
	v = 26 e = 78 f = 2
	degree seq :: [ 6^26 ]

E26.1104 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 39})
Quotient :: edge^2
Aut^+ = D78 (small group id <78, 5>)
Aut   = D156 (small group id <156, 17>)
|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)^13, 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 ]
Map::
	R = (1, 79, 4, 82, 5, 83)(2, 80, 7, 85, 8, 86)(3, 81, 10, 88, 11, 89)(6, 84, 13, 91, 14, 92)(9, 87, 16, 94, 17, 95)(12, 90, 19, 97, 20, 98)(15, 93, 22, 100, 23, 101)(18, 96, 25, 103, 26, 104)(21, 99, 28, 106, 29, 107)(24, 102, 31, 109, 32, 110)(27, 105, 34, 112, 35, 113)(30, 108, 37, 115, 38, 116)(33, 111, 40, 118, 41, 119)(36, 114, 43, 121, 44, 122)(39, 117, 46, 124, 47, 125)(42, 120, 49, 127, 50, 128)(45, 123, 52, 130, 53, 131)(48, 126, 55, 133, 56, 134)(51, 129, 58, 136, 59, 137)(54, 132, 61, 139, 62, 140)(57, 135, 64, 142, 65, 143)(60, 138, 67, 145, 68, 146)(63, 141, 70, 148, 71, 149)(66, 144, 73, 151, 74, 152)(69, 147, 75, 153, 76, 154)(72, 150, 77, 155, 78, 156)(157, 158)(159, 165)(160, 164)(161, 163)(162, 168)(166, 173)(167, 172)(169, 176)(170, 175)(171, 177)(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, 232)(227, 231)(229, 234)(230, 233)(235, 237)(236, 240)(238, 245)(239, 244)(241, 248)(242, 247)(243, 249)(246, 252)(250, 257)(251, 256)(253, 260)(254, 259)(255, 261)(258, 264)(262, 269)(263, 268)(265, 272)(266, 271)(267, 273)(270, 276)(274, 281)(275, 280)(277, 284)(278, 283)(279, 285)(282, 288)(286, 293)(287, 292)(289, 296)(290, 295)(291, 297)(294, 300)(298, 305)(299, 304)(301, 308)(302, 307)(303, 306)(309, 312)(310, 311)
	L = (1, 157)(2, 158)(3, 159)(4, 160)(5, 161)(6, 162)(7, 163)(8, 164)(9, 165)(10, 166)(11, 167)(12, 168)(13, 169)(14, 170)(15, 171)(16, 172)(17, 173)(18, 174)(19, 175)(20, 176)(21, 177)(22, 178)(23, 179)(24, 180)(25, 181)(26, 182)(27, 183)(28, 184)(29, 185)(30, 186)(31, 187)(32, 188)(33, 189)(34, 190)(35, 191)(36, 192)(37, 193)(38, 194)(39, 195)(40, 196)(41, 197)(42, 198)(43, 199)(44, 200)(45, 201)(46, 202)(47, 203)(48, 204)(49, 205)(50, 206)(51, 207)(52, 208)(53, 209)(54, 210)(55, 211)(56, 212)(57, 213)(58, 214)(59, 215)(60, 216)(61, 217)(62, 218)(63, 219)(64, 220)(65, 221)(66, 222)(67, 223)(68, 224)(69, 225)(70, 226)(71, 227)(72, 228)(73, 229)(74, 230)(75, 231)(76, 232)(77, 233)(78, 234)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	local type(s) :: { ( 156, 156 ), ( 156^6 ) }
Outer automorphisms :: reflexible
Dual of E26.1107
Graph:: simple bipartite
	v = 104 e = 156 f = 2
	degree seq :: [ 2^78, 6^26 ]

E26.1105 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 39})
Quotient :: edge^2
Aut^+ = D78 (small group id <78, 5>)
Aut   = D156 (small group id <156, 17>)
|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 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2, (Y3 * Y1 * Y2)^3, Y3^-10 * Y1 * Y3^2 * Y2 ]
Map::
	R = (1, 79, 4, 82, 12, 90, 24, 102, 40, 118, 52, 130, 64, 142, 68, 146, 56, 134, 44, 122, 30, 108, 16, 94, 6, 84, 15, 93, 29, 107, 33, 111, 47, 125, 59, 137, 71, 149, 77, 155, 75, 153, 66, 144, 54, 132, 42, 120, 26, 104, 37, 115, 21, 99, 9, 87, 20, 98, 36, 114, 49, 127, 61, 139, 73, 151, 65, 143, 53, 131, 41, 119, 25, 103, 13, 91, 5, 83)(2, 80, 7, 85, 17, 95, 31, 109, 45, 123, 57, 135, 69, 147, 63, 141, 51, 129, 39, 117, 23, 101, 11, 89, 3, 81, 10, 88, 22, 100, 38, 116, 50, 128, 62, 140, 74, 152, 78, 156, 72, 150, 60, 138, 48, 126, 35, 113, 19, 97, 34, 112, 28, 106, 14, 92, 27, 105, 43, 121, 55, 133, 67, 145, 76, 154, 70, 148, 58, 136, 46, 124, 32, 110, 18, 96, 8, 86)(157, 158)(159, 165)(160, 164)(161, 163)(162, 170)(166, 177)(167, 176)(168, 174)(169, 173)(171, 184)(172, 183)(175, 189)(178, 193)(179, 192)(180, 188)(181, 187)(182, 194)(185, 190)(186, 199)(191, 203)(195, 205)(196, 202)(197, 201)(198, 206)(200, 211)(204, 215)(207, 217)(208, 214)(209, 213)(210, 218)(212, 223)(216, 227)(219, 229)(220, 226)(221, 225)(222, 230)(224, 232)(228, 233)(231, 234)(235, 237)(236, 240)(238, 245)(239, 244)(241, 250)(242, 249)(243, 253)(246, 257)(247, 256)(248, 260)(251, 264)(252, 263)(254, 269)(255, 268)(258, 273)(259, 272)(261, 276)(262, 271)(265, 278)(266, 267)(270, 282)(274, 285)(275, 284)(277, 288)(279, 290)(280, 281)(283, 294)(286, 297)(287, 296)(289, 300)(291, 302)(292, 293)(295, 306)(298, 303)(299, 308)(301, 309)(304, 305)(307, 312)(310, 311)
	L = (1, 157)(2, 158)(3, 159)(4, 160)(5, 161)(6, 162)(7, 163)(8, 164)(9, 165)(10, 166)(11, 167)(12, 168)(13, 169)(14, 170)(15, 171)(16, 172)(17, 173)(18, 174)(19, 175)(20, 176)(21, 177)(22, 178)(23, 179)(24, 180)(25, 181)(26, 182)(27, 183)(28, 184)(29, 185)(30, 186)(31, 187)(32, 188)(33, 189)(34, 190)(35, 191)(36, 192)(37, 193)(38, 194)(39, 195)(40, 196)(41, 197)(42, 198)(43, 199)(44, 200)(45, 201)(46, 202)(47, 203)(48, 204)(49, 205)(50, 206)(51, 207)(52, 208)(53, 209)(54, 210)(55, 211)(56, 212)(57, 213)(58, 214)(59, 215)(60, 216)(61, 217)(62, 218)(63, 219)(64, 220)(65, 221)(66, 222)(67, 223)(68, 224)(69, 225)(70, 226)(71, 227)(72, 228)(73, 229)(74, 230)(75, 231)(76, 232)(77, 233)(78, 234)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	local type(s) :: { ( 12, 12 ), ( 12^78 ) }
Outer automorphisms :: reflexible
Dual of E26.1106
Graph:: simple bipartite
	v = 80 e = 156 f = 26
	degree seq :: [ 2^78, 78^2 ]

E26.1106 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 39})
Quotient :: loop^2
Aut^+ = D78 (small group id <78, 5>)
Aut   = D156 (small group id <156, 17>)
|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)^13, 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 ]
Map::
	R = (1, 79, 157, 235, 4, 82, 160, 238, 5, 83, 161, 239)(2, 80, 158, 236, 7, 85, 163, 241, 8, 86, 164, 242)(3, 81, 159, 237, 10, 88, 166, 244, 11, 89, 167, 245)(6, 84, 162, 240, 13, 91, 169, 247, 14, 92, 170, 248)(9, 87, 165, 243, 16, 94, 172, 250, 17, 95, 173, 251)(12, 90, 168, 246, 19, 97, 175, 253, 20, 98, 176, 254)(15, 93, 171, 249, 22, 100, 178, 256, 23, 101, 179, 257)(18, 96, 174, 252, 25, 103, 181, 259, 26, 104, 182, 260)(21, 99, 177, 255, 28, 106, 184, 262, 29, 107, 185, 263)(24, 102, 180, 258, 31, 109, 187, 265, 32, 110, 188, 266)(27, 105, 183, 261, 34, 112, 190, 268, 35, 113, 191, 269)(30, 108, 186, 264, 37, 115, 193, 271, 38, 116, 194, 272)(33, 111, 189, 267, 40, 118, 196, 274, 41, 119, 197, 275)(36, 114, 192, 270, 43, 121, 199, 277, 44, 122, 200, 278)(39, 117, 195, 273, 46, 124, 202, 280, 47, 125, 203, 281)(42, 120, 198, 276, 49, 127, 205, 283, 50, 128, 206, 284)(45, 123, 201, 279, 52, 130, 208, 286, 53, 131, 209, 287)(48, 126, 204, 282, 55, 133, 211, 289, 56, 134, 212, 290)(51, 129, 207, 285, 58, 136, 214, 292, 59, 137, 215, 293)(54, 132, 210, 288, 61, 139, 217, 295, 62, 140, 218, 296)(57, 135, 213, 291, 64, 142, 220, 298, 65, 143, 221, 299)(60, 138, 216, 294, 67, 145, 223, 301, 68, 146, 224, 302)(63, 141, 219, 297, 70, 148, 226, 304, 71, 149, 227, 305)(66, 144, 222, 300, 73, 151, 229, 307, 74, 152, 230, 308)(69, 147, 225, 303, 75, 153, 231, 309, 76, 154, 232, 310)(72, 150, 228, 306, 77, 155, 233, 311, 78, 156, 234, 312)
	L = (1, 80)(2, 79)(3, 87)(4, 86)(5, 85)(6, 90)(7, 83)(8, 82)(9, 81)(10, 95)(11, 94)(12, 84)(13, 98)(14, 97)(15, 99)(16, 89)(17, 88)(18, 102)(19, 92)(20, 91)(21, 93)(22, 107)(23, 106)(24, 96)(25, 110)(26, 109)(27, 111)(28, 101)(29, 100)(30, 114)(31, 104)(32, 103)(33, 105)(34, 119)(35, 118)(36, 108)(37, 122)(38, 121)(39, 123)(40, 113)(41, 112)(42, 126)(43, 116)(44, 115)(45, 117)(46, 131)(47, 130)(48, 120)(49, 134)(50, 133)(51, 135)(52, 125)(53, 124)(54, 138)(55, 128)(56, 127)(57, 129)(58, 143)(59, 142)(60, 132)(61, 146)(62, 145)(63, 147)(64, 137)(65, 136)(66, 150)(67, 140)(68, 139)(69, 141)(70, 154)(71, 153)(72, 144)(73, 156)(74, 155)(75, 149)(76, 148)(77, 152)(78, 151)(157, 237)(158, 240)(159, 235)(160, 245)(161, 244)(162, 236)(163, 248)(164, 247)(165, 249)(166, 239)(167, 238)(168, 252)(169, 242)(170, 241)(171, 243)(172, 257)(173, 256)(174, 246)(175, 260)(176, 259)(177, 261)(178, 251)(179, 250)(180, 264)(181, 254)(182, 253)(183, 255)(184, 269)(185, 268)(186, 258)(187, 272)(188, 271)(189, 273)(190, 263)(191, 262)(192, 276)(193, 266)(194, 265)(195, 267)(196, 281)(197, 280)(198, 270)(199, 284)(200, 283)(201, 285)(202, 275)(203, 274)(204, 288)(205, 278)(206, 277)(207, 279)(208, 293)(209, 292)(210, 282)(211, 296)(212, 295)(213, 297)(214, 287)(215, 286)(216, 300)(217, 290)(218, 289)(219, 291)(220, 305)(221, 304)(222, 294)(223, 308)(224, 307)(225, 306)(226, 299)(227, 298)(228, 303)(229, 302)(230, 301)(231, 312)(232, 311)(233, 310)(234, 309)
	local type(s) :: { ( 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78 ) }
Outer automorphisms :: reflexible
Dual of E26.1105
Transitivity :: VT+
Graph:: bipartite
	v = 26 e = 156 f = 80
	degree seq :: [ 12^26 ]

E26.1107 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 39})
Quotient :: loop^2
Aut^+ = D78 (small group id <78, 5>)
Aut   = D156 (small group id <156, 17>)
|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 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2, (Y3 * Y1 * Y2)^3, Y3^-10 * Y1 * Y3^2 * Y2 ]
Map::
	R = (1, 79, 157, 235, 4, 82, 160, 238, 12, 90, 168, 246, 24, 102, 180, 258, 40, 118, 196, 274, 52, 130, 208, 286, 64, 142, 220, 298, 68, 146, 224, 302, 56, 134, 212, 290, 44, 122, 200, 278, 30, 108, 186, 264, 16, 94, 172, 250, 6, 84, 162, 240, 15, 93, 171, 249, 29, 107, 185, 263, 33, 111, 189, 267, 47, 125, 203, 281, 59, 137, 215, 293, 71, 149, 227, 305, 77, 155, 233, 311, 75, 153, 231, 309, 66, 144, 222, 300, 54, 132, 210, 288, 42, 120, 198, 276, 26, 104, 182, 260, 37, 115, 193, 271, 21, 99, 177, 255, 9, 87, 165, 243, 20, 98, 176, 254, 36, 114, 192, 270, 49, 127, 205, 283, 61, 139, 217, 295, 73, 151, 229, 307, 65, 143, 221, 299, 53, 131, 209, 287, 41, 119, 197, 275, 25, 103, 181, 259, 13, 91, 169, 247, 5, 83, 161, 239)(2, 80, 158, 236, 7, 85, 163, 241, 17, 95, 173, 251, 31, 109, 187, 265, 45, 123, 201, 279, 57, 135, 213, 291, 69, 147, 225, 303, 63, 141, 219, 297, 51, 129, 207, 285, 39, 117, 195, 273, 23, 101, 179, 257, 11, 89, 167, 245, 3, 81, 159, 237, 10, 88, 166, 244, 22, 100, 178, 256, 38, 116, 194, 272, 50, 128, 206, 284, 62, 140, 218, 296, 74, 152, 230, 308, 78, 156, 234, 312, 72, 150, 228, 306, 60, 138, 216, 294, 48, 126, 204, 282, 35, 113, 191, 269, 19, 97, 175, 253, 34, 112, 190, 268, 28, 106, 184, 262, 14, 92, 170, 248, 27, 105, 183, 261, 43, 121, 199, 277, 55, 133, 211, 289, 67, 145, 223, 301, 76, 154, 232, 310, 70, 148, 226, 304, 58, 136, 214, 292, 46, 124, 202, 280, 32, 110, 188, 266, 18, 96, 174, 252, 8, 86, 164, 242)
	L = (1, 80)(2, 79)(3, 87)(4, 86)(5, 85)(6, 92)(7, 83)(8, 82)(9, 81)(10, 99)(11, 98)(12, 96)(13, 95)(14, 84)(15, 106)(16, 105)(17, 91)(18, 90)(19, 111)(20, 89)(21, 88)(22, 115)(23, 114)(24, 110)(25, 109)(26, 116)(27, 94)(28, 93)(29, 112)(30, 121)(31, 103)(32, 102)(33, 97)(34, 107)(35, 125)(36, 101)(37, 100)(38, 104)(39, 127)(40, 124)(41, 123)(42, 128)(43, 108)(44, 133)(45, 119)(46, 118)(47, 113)(48, 137)(49, 117)(50, 120)(51, 139)(52, 136)(53, 135)(54, 140)(55, 122)(56, 145)(57, 131)(58, 130)(59, 126)(60, 149)(61, 129)(62, 132)(63, 151)(64, 148)(65, 147)(66, 152)(67, 134)(68, 154)(69, 143)(70, 142)(71, 138)(72, 155)(73, 141)(74, 144)(75, 156)(76, 146)(77, 150)(78, 153)(157, 237)(158, 240)(159, 235)(160, 245)(161, 244)(162, 236)(163, 250)(164, 249)(165, 253)(166, 239)(167, 238)(168, 257)(169, 256)(170, 260)(171, 242)(172, 241)(173, 264)(174, 263)(175, 243)(176, 269)(177, 268)(178, 247)(179, 246)(180, 273)(181, 272)(182, 248)(183, 276)(184, 271)(185, 252)(186, 251)(187, 278)(188, 267)(189, 266)(190, 255)(191, 254)(192, 282)(193, 262)(194, 259)(195, 258)(196, 285)(197, 284)(198, 261)(199, 288)(200, 265)(201, 290)(202, 281)(203, 280)(204, 270)(205, 294)(206, 275)(207, 274)(208, 297)(209, 296)(210, 277)(211, 300)(212, 279)(213, 302)(214, 293)(215, 292)(216, 283)(217, 306)(218, 287)(219, 286)(220, 303)(221, 308)(222, 289)(223, 309)(224, 291)(225, 298)(226, 305)(227, 304)(228, 295)(229, 312)(230, 299)(231, 301)(232, 311)(233, 310)(234, 307)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1104
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 156 f = 104
	degree seq :: [ 156^2 ]

E26.1108 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 39})
Quotient :: dipole
Aut^+ = D78 (small group id <78, 5>)
Aut   = D156 (small group id <156, 17>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (Y2 * Y1)^2, (R * Y2)^2, Y3^13 ]
Map:: non-degenerate
	R = (1, 79, 2, 80)(3, 81, 9, 87)(4, 82, 10, 88)(5, 83, 7, 85)(6, 84, 8, 86)(11, 89, 21, 99)(12, 90, 20, 98)(13, 91, 22, 100)(14, 92, 18, 96)(15, 93, 17, 95)(16, 94, 19, 97)(23, 101, 33, 111)(24, 102, 32, 110)(25, 103, 34, 112)(26, 104, 30, 108)(27, 105, 29, 107)(28, 106, 31, 109)(35, 113, 45, 123)(36, 114, 44, 122)(37, 115, 46, 124)(38, 116, 42, 120)(39, 117, 41, 119)(40, 118, 43, 121)(47, 125, 57, 135)(48, 126, 56, 134)(49, 127, 58, 136)(50, 128, 54, 132)(51, 129, 53, 131)(52, 130, 55, 133)(59, 137, 69, 147)(60, 138, 68, 146)(61, 139, 70, 148)(62, 140, 66, 144)(63, 141, 65, 143)(64, 142, 67, 145)(71, 149, 78, 156)(72, 150, 77, 155)(73, 151, 76, 154)(74, 152, 75, 153)(157, 235, 159, 237, 161, 239)(158, 236, 163, 241, 165, 243)(160, 238, 167, 245, 170, 248)(162, 240, 168, 246, 171, 249)(164, 242, 173, 251, 176, 254)(166, 244, 174, 252, 177, 255)(169, 247, 179, 257, 182, 260)(172, 250, 180, 258, 183, 261)(175, 253, 185, 263, 188, 266)(178, 256, 186, 264, 189, 267)(181, 259, 191, 269, 194, 272)(184, 262, 192, 270, 195, 273)(187, 265, 197, 275, 200, 278)(190, 268, 198, 276, 201, 279)(193, 271, 203, 281, 206, 284)(196, 274, 204, 282, 207, 285)(199, 277, 209, 287, 212, 290)(202, 280, 210, 288, 213, 291)(205, 283, 215, 293, 218, 296)(208, 286, 216, 294, 219, 297)(211, 289, 221, 299, 224, 302)(214, 292, 222, 300, 225, 303)(217, 295, 227, 305, 229, 307)(220, 298, 228, 306, 230, 308)(223, 301, 231, 309, 233, 311)(226, 304, 232, 310, 234, 312)
	L = (1, 160)(2, 164)(3, 167)(4, 169)(5, 170)(6, 157)(7, 173)(8, 175)(9, 176)(10, 158)(11, 179)(12, 159)(13, 181)(14, 182)(15, 161)(16, 162)(17, 185)(18, 163)(19, 187)(20, 188)(21, 165)(22, 166)(23, 191)(24, 168)(25, 193)(26, 194)(27, 171)(28, 172)(29, 197)(30, 174)(31, 199)(32, 200)(33, 177)(34, 178)(35, 203)(36, 180)(37, 205)(38, 206)(39, 183)(40, 184)(41, 209)(42, 186)(43, 211)(44, 212)(45, 189)(46, 190)(47, 215)(48, 192)(49, 217)(50, 218)(51, 195)(52, 196)(53, 221)(54, 198)(55, 223)(56, 224)(57, 201)(58, 202)(59, 227)(60, 204)(61, 220)(62, 229)(63, 207)(64, 208)(65, 231)(66, 210)(67, 226)(68, 233)(69, 213)(70, 214)(71, 228)(72, 216)(73, 230)(74, 219)(75, 232)(76, 222)(77, 234)(78, 225)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	local type(s) :: { ( 4, 78, 4, 78 ), ( 4, 78, 4, 78, 4, 78 ) }
Outer automorphisms :: reflexible
Dual of E26.1110
Graph:: simple bipartite
	v = 65 e = 156 f = 41
	degree seq :: [ 4^39, 6^26 ]

E26.1109 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 39})
Quotient :: dipole
Aut^+ = D78 (small group id <78, 5>)
Aut   = D156 (small group id <156, 17>)
|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^-13, 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 * Y3^2 ]
Map:: non-degenerate
	R = (1, 79, 2, 80)(3, 81, 9, 87)(4, 82, 10, 88)(5, 83, 7, 85)(6, 84, 8, 86)(11, 89, 21, 99)(12, 90, 20, 98)(13, 91, 22, 100)(14, 92, 18, 96)(15, 93, 17, 95)(16, 94, 19, 97)(23, 101, 33, 111)(24, 102, 32, 110)(25, 103, 34, 112)(26, 104, 30, 108)(27, 105, 29, 107)(28, 106, 31, 109)(35, 113, 45, 123)(36, 114, 44, 122)(37, 115, 46, 124)(38, 116, 42, 120)(39, 117, 41, 119)(40, 118, 43, 121)(47, 125, 57, 135)(48, 126, 56, 134)(49, 127, 58, 136)(50, 128, 54, 132)(51, 129, 53, 131)(52, 130, 55, 133)(59, 137, 69, 147)(60, 138, 68, 146)(61, 139, 70, 148)(62, 140, 66, 144)(63, 141, 65, 143)(64, 142, 67, 145)(71, 149, 77, 155)(72, 150, 78, 156)(73, 151, 75, 153)(74, 152, 76, 154)(157, 235, 159, 237, 161, 239)(158, 236, 163, 241, 165, 243)(160, 238, 167, 245, 170, 248)(162, 240, 168, 246, 171, 249)(164, 242, 173, 251, 176, 254)(166, 244, 174, 252, 177, 255)(169, 247, 179, 257, 182, 260)(172, 250, 180, 258, 183, 261)(175, 253, 185, 263, 188, 266)(178, 256, 186, 264, 189, 267)(181, 259, 191, 269, 194, 272)(184, 262, 192, 270, 195, 273)(187, 265, 197, 275, 200, 278)(190, 268, 198, 276, 201, 279)(193, 271, 203, 281, 206, 284)(196, 274, 204, 282, 207, 285)(199, 277, 209, 287, 212, 290)(202, 280, 210, 288, 213, 291)(205, 283, 215, 293, 218, 296)(208, 286, 216, 294, 219, 297)(211, 289, 221, 299, 224, 302)(214, 292, 222, 300, 225, 303)(217, 295, 227, 305, 230, 308)(220, 298, 228, 306, 229, 307)(223, 301, 231, 309, 234, 312)(226, 304, 232, 310, 233, 311)
	L = (1, 160)(2, 164)(3, 167)(4, 169)(5, 170)(6, 157)(7, 173)(8, 175)(9, 176)(10, 158)(11, 179)(12, 159)(13, 181)(14, 182)(15, 161)(16, 162)(17, 185)(18, 163)(19, 187)(20, 188)(21, 165)(22, 166)(23, 191)(24, 168)(25, 193)(26, 194)(27, 171)(28, 172)(29, 197)(30, 174)(31, 199)(32, 200)(33, 177)(34, 178)(35, 203)(36, 180)(37, 205)(38, 206)(39, 183)(40, 184)(41, 209)(42, 186)(43, 211)(44, 212)(45, 189)(46, 190)(47, 215)(48, 192)(49, 217)(50, 218)(51, 195)(52, 196)(53, 221)(54, 198)(55, 223)(56, 224)(57, 201)(58, 202)(59, 227)(60, 204)(61, 229)(62, 230)(63, 207)(64, 208)(65, 231)(66, 210)(67, 233)(68, 234)(69, 213)(70, 214)(71, 220)(72, 216)(73, 219)(74, 228)(75, 226)(76, 222)(77, 225)(78, 232)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	local type(s) :: { ( 4, 78, 4, 78 ), ( 4, 78, 4, 78, 4, 78 ) }
Outer automorphisms :: reflexible
Dual of E26.1111
Graph:: simple bipartite
	v = 65 e = 156 f = 41
	degree seq :: [ 4^39, 6^26 ]

E26.1110 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 39})
Quotient :: dipole
Aut^+ = D78 (small group id <78, 5>)
Aut   = D156 (small group id <156, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3, Y1), (Y3 * Y2)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, Y3^3 * Y1^3, (R * Y2 * Y3^-1)^2, Y3^-7 * Y1^6, Y1^39 ]
Map:: non-degenerate
	R = (1, 79, 2, 80, 7, 85, 19, 97, 35, 113, 49, 127, 61, 139, 72, 150, 59, 137, 46, 124, 34, 112, 15, 93, 4, 82, 9, 87, 21, 99, 18, 96, 26, 104, 40, 118, 53, 131, 65, 143, 71, 149, 58, 136, 48, 126, 33, 111, 14, 92, 25, 103, 17, 95, 6, 84, 10, 88, 22, 100, 37, 115, 51, 129, 63, 141, 70, 148, 60, 138, 47, 125, 32, 110, 16, 94, 5, 83)(3, 81, 11, 89, 27, 105, 43, 121, 55, 133, 67, 145, 76, 154, 74, 152, 64, 142, 52, 130, 38, 116, 23, 101, 12, 90, 28, 106, 42, 120, 31, 109, 45, 123, 57, 135, 69, 147, 78, 156, 75, 153, 66, 144, 54, 132, 41, 119, 30, 108, 39, 117, 24, 102, 13, 91, 29, 107, 44, 122, 56, 134, 68, 146, 77, 155, 73, 151, 62, 140, 50, 128, 36, 114, 20, 98, 8, 86)(157, 235, 159, 237)(158, 236, 164, 242)(160, 238, 169, 247)(161, 239, 167, 245)(162, 240, 168, 246)(163, 241, 176, 254)(165, 243, 180, 258)(166, 244, 179, 257)(170, 248, 187, 265)(171, 249, 185, 263)(172, 250, 183, 261)(173, 251, 184, 262)(174, 252, 186, 264)(175, 253, 192, 270)(177, 255, 195, 273)(178, 256, 194, 272)(181, 259, 198, 276)(182, 260, 197, 275)(188, 266, 199, 277)(189, 267, 201, 279)(190, 268, 200, 278)(191, 269, 206, 284)(193, 271, 208, 286)(196, 274, 210, 288)(202, 280, 212, 290)(203, 281, 211, 289)(204, 282, 213, 291)(205, 283, 218, 296)(207, 285, 220, 298)(209, 287, 222, 300)(214, 292, 225, 303)(215, 293, 224, 302)(216, 294, 223, 301)(217, 295, 229, 307)(219, 297, 230, 308)(221, 299, 231, 309)(226, 304, 232, 310)(227, 305, 234, 312)(228, 306, 233, 311)
	L = (1, 160)(2, 165)(3, 168)(4, 170)(5, 171)(6, 157)(7, 177)(8, 179)(9, 181)(10, 158)(11, 184)(12, 186)(13, 159)(14, 188)(15, 189)(16, 190)(17, 161)(18, 162)(19, 174)(20, 194)(21, 173)(22, 163)(23, 197)(24, 164)(25, 172)(26, 166)(27, 198)(28, 195)(29, 167)(30, 192)(31, 169)(32, 202)(33, 203)(34, 204)(35, 182)(36, 208)(37, 175)(38, 210)(39, 176)(40, 178)(41, 206)(42, 180)(43, 187)(44, 183)(45, 185)(46, 214)(47, 215)(48, 216)(49, 196)(50, 220)(51, 191)(52, 222)(53, 193)(54, 218)(55, 201)(56, 199)(57, 200)(58, 226)(59, 227)(60, 228)(61, 209)(62, 230)(63, 205)(64, 231)(65, 207)(66, 229)(67, 213)(68, 211)(69, 212)(70, 217)(71, 219)(72, 221)(73, 232)(74, 234)(75, 233)(76, 225)(77, 223)(78, 224)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1108
Graph:: bipartite
	v = 41 e = 156 f = 65
	degree seq :: [ 4^39, 78^2 ]

E26.1111 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 39})
Quotient :: dipole
Aut^+ = D78 (small group id <78, 5>)
Aut   = D156 (small group id <156, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3, Y1), (Y3 * Y2)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, Y3^3 * Y1^3, (R * Y2 * Y3^-1)^2, Y3^-8 * Y1^5, Y1^-39, Y1^39 ]
Map:: non-degenerate
	R = (1, 79, 2, 80, 7, 85, 19, 97, 35, 113, 49, 127, 61, 139, 71, 149, 58, 136, 48, 126, 33, 111, 14, 92, 25, 103, 17, 95, 6, 84, 10, 88, 22, 100, 37, 115, 51, 129, 63, 141, 72, 150, 59, 137, 46, 124, 34, 112, 15, 93, 4, 82, 9, 87, 21, 99, 18, 96, 26, 104, 40, 118, 53, 131, 65, 143, 70, 148, 60, 138, 47, 125, 32, 110, 16, 94, 5, 83)(3, 81, 11, 89, 27, 105, 43, 121, 55, 133, 67, 145, 76, 154, 75, 153, 66, 144, 54, 132, 41, 119, 30, 108, 39, 117, 24, 102, 13, 91, 29, 107, 44, 122, 56, 134, 68, 146, 77, 155, 74, 152, 64, 142, 52, 130, 38, 116, 23, 101, 12, 90, 28, 106, 42, 120, 31, 109, 45, 123, 57, 135, 69, 147, 78, 156, 73, 151, 62, 140, 50, 128, 36, 114, 20, 98, 8, 86)(157, 235, 159, 237)(158, 236, 164, 242)(160, 238, 169, 247)(161, 239, 167, 245)(162, 240, 168, 246)(163, 241, 176, 254)(165, 243, 180, 258)(166, 244, 179, 257)(170, 248, 187, 265)(171, 249, 185, 263)(172, 250, 183, 261)(173, 251, 184, 262)(174, 252, 186, 264)(175, 253, 192, 270)(177, 255, 195, 273)(178, 256, 194, 272)(181, 259, 198, 276)(182, 260, 197, 275)(188, 266, 199, 277)(189, 267, 201, 279)(190, 268, 200, 278)(191, 269, 206, 284)(193, 271, 208, 286)(196, 274, 210, 288)(202, 280, 212, 290)(203, 281, 211, 289)(204, 282, 213, 291)(205, 283, 218, 296)(207, 285, 220, 298)(209, 287, 222, 300)(214, 292, 225, 303)(215, 293, 224, 302)(216, 294, 223, 301)(217, 295, 229, 307)(219, 297, 230, 308)(221, 299, 231, 309)(226, 304, 232, 310)(227, 305, 234, 312)(228, 306, 233, 311)
	L = (1, 160)(2, 165)(3, 168)(4, 170)(5, 171)(6, 157)(7, 177)(8, 179)(9, 181)(10, 158)(11, 184)(12, 186)(13, 159)(14, 188)(15, 189)(16, 190)(17, 161)(18, 162)(19, 174)(20, 194)(21, 173)(22, 163)(23, 197)(24, 164)(25, 172)(26, 166)(27, 198)(28, 195)(29, 167)(30, 192)(31, 169)(32, 202)(33, 203)(34, 204)(35, 182)(36, 208)(37, 175)(38, 210)(39, 176)(40, 178)(41, 206)(42, 180)(43, 187)(44, 183)(45, 185)(46, 214)(47, 215)(48, 216)(49, 196)(50, 220)(51, 191)(52, 222)(53, 193)(54, 218)(55, 201)(56, 199)(57, 200)(58, 226)(59, 227)(60, 228)(61, 209)(62, 230)(63, 205)(64, 231)(65, 207)(66, 229)(67, 213)(68, 211)(69, 212)(70, 219)(71, 221)(72, 217)(73, 233)(74, 232)(75, 234)(76, 225)(77, 223)(78, 224)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1109
Graph:: bipartite
	v = 41 e = 156 f = 65
	degree seq :: [ 4^39, 78^2 ]

E26.1112 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 6, 39})
Quotient :: edge
Aut^+ = C3 x D26 (small group id <78, 4>)
Aut   = S3 x D26 (small group id <156, 11>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1)^2, (F * T2)^2, (F * T1)^2, T1^-3 * T2 * T1 * T2, T2^-1 * T1^-3 * T2^-1 * T1^-1, T1^6, T1^-1 * T2^-1 * T1^-1 * T2^12 ]
Map:: non-degenerate
	R = (1, 3, 10, 25, 37, 49, 61, 73, 67, 55, 43, 31, 19, 12, 21, 33, 45, 57, 69, 78, 77, 66, 54, 42, 30, 18, 6, 17, 29, 41, 53, 65, 76, 64, 52, 40, 28, 15, 5)(2, 7, 20, 32, 44, 56, 68, 72, 60, 48, 36, 24, 13, 4, 11, 26, 38, 50, 62, 74, 71, 59, 47, 35, 23, 9, 16, 14, 27, 39, 51, 63, 75, 70, 58, 46, 34, 22, 8)(79, 80, 84, 94, 90, 82)(81, 87, 95, 91, 99, 86)(83, 89, 96, 85, 97, 92)(88, 102, 107, 100, 111, 101)(93, 105, 108, 104, 109, 98)(103, 112, 119, 113, 123, 114)(106, 110, 120, 117, 121, 116)(115, 125, 131, 126, 135, 124)(118, 128, 132, 122, 133, 129)(127, 138, 143, 136, 147, 137)(130, 141, 144, 140, 145, 134)(139, 148, 154, 149, 156, 150)(142, 146, 155, 153, 151, 152)
	L = (1, 79)(2, 80)(3, 81)(4, 82)(5, 83)(6, 84)(7, 85)(8, 86)(9, 87)(10, 88)(11, 89)(12, 90)(13, 91)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)
	local type(s) :: { ( 12^6 ), ( 12^39 ) }
Outer automorphisms :: reflexible
Dual of E26.1113
Transitivity :: ET+
Graph:: bipartite
	v = 15 e = 78 f = 13
	degree seq :: [ 6^13, 39^2 ]

E26.1113 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 6, 39})
Quotient :: loop
Aut^+ = C3 x D26 (small group id <78, 4>)
Aut   = S3 x D26 (small group id <156, 11>)
|r| :: 2
Presentation :: [ F^2, T2^2 * T1^-2, (F * T2)^2, (F * T1)^2, (T1^-1 * T2^-2)^2, T1^2 * T2^4, T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * 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 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 79, 3, 81, 6, 84, 15, 93, 11, 89, 5, 83)(2, 80, 7, 85, 14, 92, 12, 90, 4, 82, 8, 86)(9, 87, 19, 97, 13, 91, 21, 99, 10, 88, 20, 98)(16, 94, 22, 100, 18, 96, 24, 102, 17, 95, 23, 101)(25, 103, 31, 109, 27, 105, 33, 111, 26, 104, 32, 110)(28, 106, 34, 112, 30, 108, 36, 114, 29, 107, 35, 113)(37, 115, 43, 121, 39, 117, 45, 123, 38, 116, 44, 122)(40, 118, 46, 124, 42, 120, 48, 126, 41, 119, 47, 125)(49, 127, 55, 133, 51, 129, 57, 135, 50, 128, 56, 134)(52, 130, 58, 136, 54, 132, 60, 138, 53, 131, 59, 137)(61, 139, 67, 145, 63, 141, 69, 147, 62, 140, 68, 146)(64, 142, 70, 148, 66, 144, 72, 150, 65, 143, 71, 149)(73, 151, 76, 154, 75, 153, 78, 156, 74, 152, 77, 155)
	L = (1, 80)(2, 84)(3, 87)(4, 79)(5, 88)(6, 92)(7, 94)(8, 95)(9, 93)(10, 81)(11, 82)(12, 96)(13, 83)(14, 89)(15, 91)(16, 90)(17, 85)(18, 86)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 99)(26, 97)(27, 98)(28, 102)(29, 100)(30, 101)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 111)(38, 109)(39, 110)(40, 114)(41, 112)(42, 113)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 123)(50, 121)(51, 122)(52, 126)(53, 124)(54, 125)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 135)(62, 133)(63, 134)(64, 138)(65, 136)(66, 137)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 147)(74, 145)(75, 146)(76, 150)(77, 148)(78, 149)
	local type(s) :: { ( 6, 39, 6, 39, 6, 39, 6, 39, 6, 39, 6, 39 ) }
Outer automorphisms :: reflexible
Dual of E26.1112
Transitivity :: ET+ VT+ AT
Graph::
	v = 13 e = 78 f = 15
	degree seq :: [ 12^13 ]

E26.1114 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 39})
Quotient :: dipole
Aut^+ = C3 x D26 (small group id <78, 4>)
Aut   = S3 x D26 (small group id <156, 11>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^3, Y2^-1 * Y1^3 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^6, Y1^-1 * Y2^-1 * Y1^-1 * Y2^12 ]
Map::
	R = (1, 79, 2, 80, 6, 84, 16, 94, 12, 90, 4, 82)(3, 81, 9, 87, 17, 95, 13, 91, 21, 99, 8, 86)(5, 83, 11, 89, 18, 96, 7, 85, 19, 97, 14, 92)(10, 88, 24, 102, 29, 107, 22, 100, 33, 111, 23, 101)(15, 93, 27, 105, 30, 108, 26, 104, 31, 109, 20, 98)(25, 103, 34, 112, 41, 119, 35, 113, 45, 123, 36, 114)(28, 106, 32, 110, 42, 120, 39, 117, 43, 121, 38, 116)(37, 115, 47, 125, 53, 131, 48, 126, 57, 135, 46, 124)(40, 118, 50, 128, 54, 132, 44, 122, 55, 133, 51, 129)(49, 127, 60, 138, 65, 143, 58, 136, 69, 147, 59, 137)(52, 130, 63, 141, 66, 144, 62, 140, 67, 145, 56, 134)(61, 139, 70, 148, 76, 154, 71, 149, 78, 156, 72, 150)(64, 142, 68, 146, 77, 155, 75, 153, 73, 151, 74, 152)(157, 235, 159, 237, 166, 244, 181, 259, 193, 271, 205, 283, 217, 295, 229, 307, 223, 301, 211, 289, 199, 277, 187, 265, 175, 253, 168, 246, 177, 255, 189, 267, 201, 279, 213, 291, 225, 303, 234, 312, 233, 311, 222, 300, 210, 288, 198, 276, 186, 264, 174, 252, 162, 240, 173, 251, 185, 263, 197, 275, 209, 287, 221, 299, 232, 310, 220, 298, 208, 286, 196, 274, 184, 262, 171, 249, 161, 239)(158, 236, 163, 241, 176, 254, 188, 266, 200, 278, 212, 290, 224, 302, 228, 306, 216, 294, 204, 282, 192, 270, 180, 258, 169, 247, 160, 238, 167, 245, 182, 260, 194, 272, 206, 284, 218, 296, 230, 308, 227, 305, 215, 293, 203, 281, 191, 269, 179, 257, 165, 243, 172, 250, 170, 248, 183, 261, 195, 273, 207, 285, 219, 297, 231, 309, 226, 304, 214, 292, 202, 280, 190, 268, 178, 256, 164, 242)
	L = (1, 159)(2, 163)(3, 166)(4, 167)(5, 157)(6, 173)(7, 176)(8, 158)(9, 172)(10, 181)(11, 182)(12, 177)(13, 160)(14, 183)(15, 161)(16, 170)(17, 185)(18, 162)(19, 168)(20, 188)(21, 189)(22, 164)(23, 165)(24, 169)(25, 193)(26, 194)(27, 195)(28, 171)(29, 197)(30, 174)(31, 175)(32, 200)(33, 201)(34, 178)(35, 179)(36, 180)(37, 205)(38, 206)(39, 207)(40, 184)(41, 209)(42, 186)(43, 187)(44, 212)(45, 213)(46, 190)(47, 191)(48, 192)(49, 217)(50, 218)(51, 219)(52, 196)(53, 221)(54, 198)(55, 199)(56, 224)(57, 225)(58, 202)(59, 203)(60, 204)(61, 229)(62, 230)(63, 231)(64, 208)(65, 232)(66, 210)(67, 211)(68, 228)(69, 234)(70, 214)(71, 215)(72, 216)(73, 223)(74, 227)(75, 226)(76, 220)(77, 222)(78, 233)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1115
Graph:: bipartite
	v = 15 e = 156 f = 91
	degree seq :: [ 12^13, 78^2 ]

E26.1115 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 39})
Quotient :: dipole
Aut^+ = C3 x D26 (small group id <78, 4>)
Aut   = S3 x D26 (small group id <156, 11>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3^-1 * Y2^-1)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y3 * Y2^-2 * Y3^-1 * Y2, Y2 * Y3^-1 * Y2^3 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1 * Y3)^2, Y3^2 * Y2^-2 * Y3^11, (Y3^-1 * Y1^-1)^39 ]
Map::
	R = (1, 79)(2, 80)(3, 81)(4, 82)(5, 83)(6, 84)(7, 85)(8, 86)(9, 87)(10, 88)(11, 89)(12, 90)(13, 91)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)(157, 235, 158, 236, 162, 240, 172, 250, 169, 247, 160, 238)(159, 237, 165, 243, 173, 251, 164, 242, 177, 255, 167, 245)(161, 239, 170, 248, 174, 252, 168, 246, 176, 254, 163, 241)(166, 244, 180, 258, 185, 263, 179, 257, 189, 267, 178, 256)(171, 249, 182, 260, 186, 264, 175, 253, 187, 265, 183, 261)(181, 259, 190, 268, 197, 275, 192, 270, 201, 279, 191, 269)(184, 262, 188, 266, 198, 276, 195, 273, 199, 277, 194, 272)(193, 271, 203, 281, 209, 287, 202, 280, 213, 291, 204, 282)(196, 274, 207, 285, 210, 288, 206, 284, 211, 289, 200, 278)(205, 283, 216, 294, 221, 299, 215, 293, 225, 303, 214, 292)(208, 286, 218, 296, 222, 300, 212, 290, 223, 301, 219, 297)(217, 295, 226, 304, 233, 311, 228, 306, 232, 310, 227, 305)(220, 298, 224, 302, 229, 307, 231, 309, 234, 312, 230, 308)
	L = (1, 159)(2, 163)(3, 166)(4, 168)(5, 157)(6, 173)(7, 175)(8, 158)(9, 160)(10, 181)(11, 172)(12, 182)(13, 177)(14, 183)(15, 161)(16, 170)(17, 185)(18, 162)(19, 188)(20, 169)(21, 189)(22, 164)(23, 165)(24, 167)(25, 193)(26, 194)(27, 195)(28, 171)(29, 197)(30, 174)(31, 176)(32, 200)(33, 201)(34, 178)(35, 179)(36, 180)(37, 205)(38, 206)(39, 207)(40, 184)(41, 209)(42, 186)(43, 187)(44, 212)(45, 213)(46, 190)(47, 191)(48, 192)(49, 217)(50, 218)(51, 219)(52, 196)(53, 221)(54, 198)(55, 199)(56, 224)(57, 225)(58, 202)(59, 203)(60, 204)(61, 229)(62, 230)(63, 231)(64, 208)(65, 233)(66, 210)(67, 211)(68, 228)(69, 232)(70, 214)(71, 215)(72, 216)(73, 222)(74, 226)(75, 227)(76, 220)(77, 234)(78, 223)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	local type(s) :: { ( 12, 78 ), ( 12, 78, 12, 78, 12, 78, 12, 78, 12, 78, 12, 78 ) }
Outer automorphisms :: reflexible
Dual of E26.1114
Graph:: simple bipartite
	v = 91 e = 156 f = 15
	degree seq :: [ 2^78, 12^13 ]

E26.1116 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 78, 78})
Quotient :: edge
Aut^+ = C78 (small group id <78, 6>)
Aut   = D156 (small group id <156, 17>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1 * T2^26, (T1^-1 * T2^-1)^78 ]
Map:: non-degenerate
	R = (1, 3, 8, 14, 20, 26, 32, 38, 44, 50, 56, 62, 68, 74, 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, 78, 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, 77, 71, 65, 59, 53, 47, 41, 35, 29, 23, 17, 11, 5)(79, 80, 82)(81, 84, 87)(83, 85, 88)(86, 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, 155, 156)
	L = (1, 79)(2, 80)(3, 81)(4, 82)(5, 83)(6, 84)(7, 85)(8, 86)(9, 87)(10, 88)(11, 89)(12, 90)(13, 91)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)
	local type(s) :: { ( 156^3 ), ( 156^78 ) }
Outer automorphisms :: reflexible
Dual of E26.1117
Transitivity :: ET+
Graph:: bipartite
	v = 27 e = 78 f = 1
	degree seq :: [ 3^26, 78 ]

E26.1117 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 78, 78})
Quotient :: loop
Aut^+ = C78 (small group id <78, 6>)
Aut   = D156 (small group id <156, 17>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1 * T2^26, (T1^-1 * T2^-1)^78 ]
Map:: non-degenerate
	R = (1, 79, 3, 81, 8, 86, 14, 92, 20, 98, 26, 104, 32, 110, 38, 116, 44, 122, 50, 128, 56, 134, 62, 140, 68, 146, 74, 152, 76, 154, 70, 148, 64, 142, 58, 136, 52, 130, 46, 124, 40, 118, 34, 112, 28, 106, 22, 100, 16, 94, 10, 88, 4, 82, 9, 87, 15, 93, 21, 99, 27, 105, 33, 111, 39, 117, 45, 123, 51, 129, 57, 135, 63, 141, 69, 147, 75, 153, 78, 156, 73, 151, 67, 145, 61, 139, 55, 133, 49, 127, 43, 121, 37, 115, 31, 109, 25, 103, 19, 97, 13, 91, 7, 85, 2, 80, 6, 84, 12, 90, 18, 96, 24, 102, 30, 108, 36, 114, 42, 120, 48, 126, 54, 132, 60, 138, 66, 144, 72, 150, 77, 155, 71, 149, 65, 143, 59, 137, 53, 131, 47, 125, 41, 119, 35, 113, 29, 107, 23, 101, 17, 95, 11, 89, 5, 83)
	L = (1, 80)(2, 82)(3, 84)(4, 79)(5, 85)(6, 87)(7, 88)(8, 90)(9, 81)(10, 83)(11, 91)(12, 93)(13, 94)(14, 96)(15, 86)(16, 89)(17, 97)(18, 99)(19, 100)(20, 102)(21, 92)(22, 95)(23, 103)(24, 105)(25, 106)(26, 108)(27, 98)(28, 101)(29, 109)(30, 111)(31, 112)(32, 114)(33, 104)(34, 107)(35, 115)(36, 117)(37, 118)(38, 120)(39, 110)(40, 113)(41, 121)(42, 123)(43, 124)(44, 126)(45, 116)(46, 119)(47, 127)(48, 129)(49, 130)(50, 132)(51, 122)(52, 125)(53, 133)(54, 135)(55, 136)(56, 138)(57, 128)(58, 131)(59, 139)(60, 141)(61, 142)(62, 144)(63, 134)(64, 137)(65, 145)(66, 147)(67, 148)(68, 150)(69, 140)(70, 143)(71, 151)(72, 153)(73, 154)(74, 155)(75, 146)(76, 149)(77, 156)(78, 152)
	local type(s) :: { ( 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78, 3, 78 ) }
Outer automorphisms :: reflexible
Dual of E26.1116
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 78 f = 27
	degree seq :: [ 156 ]

E26.1118 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 78, 78})
Quotient :: dipole
Aut^+ = C78 (small group id <78, 6>)
Aut   = D156 (small group id <156, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3 * Y1^-2, Y1^3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), Y2^26 * Y1, 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 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 79, 2, 80, 4, 82)(3, 81, 6, 84, 9, 87)(5, 83, 7, 85, 10, 88)(8, 86, 12, 90, 15, 93)(11, 89, 13, 91, 16, 94)(14, 92, 18, 96, 21, 99)(17, 95, 19, 97, 22, 100)(20, 98, 24, 102, 27, 105)(23, 101, 25, 103, 28, 106)(26, 104, 30, 108, 33, 111)(29, 107, 31, 109, 34, 112)(32, 110, 36, 114, 39, 117)(35, 113, 37, 115, 40, 118)(38, 116, 42, 120, 45, 123)(41, 119, 43, 121, 46, 124)(44, 122, 48, 126, 51, 129)(47, 125, 49, 127, 52, 130)(50, 128, 54, 132, 57, 135)(53, 131, 55, 133, 58, 136)(56, 134, 60, 138, 63, 141)(59, 137, 61, 139, 64, 142)(62, 140, 66, 144, 69, 147)(65, 143, 67, 145, 70, 148)(68, 146, 72, 150, 75, 153)(71, 149, 73, 151, 76, 154)(74, 152, 77, 155, 78, 156)(157, 235, 159, 237, 164, 242, 170, 248, 176, 254, 182, 260, 188, 266, 194, 272, 200, 278, 206, 284, 212, 290, 218, 296, 224, 302, 230, 308, 232, 310, 226, 304, 220, 298, 214, 292, 208, 286, 202, 280, 196, 274, 190, 268, 184, 262, 178, 256, 172, 250, 166, 244, 160, 238, 165, 243, 171, 249, 177, 255, 183, 261, 189, 267, 195, 273, 201, 279, 207, 285, 213, 291, 219, 297, 225, 303, 231, 309, 234, 312, 229, 307, 223, 301, 217, 295, 211, 289, 205, 283, 199, 277, 193, 271, 187, 265, 181, 259, 175, 253, 169, 247, 163, 241, 158, 236, 162, 240, 168, 246, 174, 252, 180, 258, 186, 264, 192, 270, 198, 276, 204, 282, 210, 288, 216, 294, 222, 300, 228, 306, 233, 311, 227, 305, 221, 299, 215, 293, 209, 287, 203, 281, 197, 275, 191, 269, 185, 263, 179, 257, 173, 251, 167, 245, 161, 239)
	L = (1, 160)(2, 157)(3, 165)(4, 158)(5, 166)(6, 159)(7, 161)(8, 171)(9, 162)(10, 163)(11, 172)(12, 164)(13, 167)(14, 177)(15, 168)(16, 169)(17, 178)(18, 170)(19, 173)(20, 183)(21, 174)(22, 175)(23, 184)(24, 176)(25, 179)(26, 189)(27, 180)(28, 181)(29, 190)(30, 182)(31, 185)(32, 195)(33, 186)(34, 187)(35, 196)(36, 188)(37, 191)(38, 201)(39, 192)(40, 193)(41, 202)(42, 194)(43, 197)(44, 207)(45, 198)(46, 199)(47, 208)(48, 200)(49, 203)(50, 213)(51, 204)(52, 205)(53, 214)(54, 206)(55, 209)(56, 219)(57, 210)(58, 211)(59, 220)(60, 212)(61, 215)(62, 225)(63, 216)(64, 217)(65, 226)(66, 218)(67, 221)(68, 231)(69, 222)(70, 223)(71, 232)(72, 224)(73, 227)(74, 234)(75, 228)(76, 229)(77, 230)(78, 233)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	local type(s) :: { ( 2, 156, 2, 156, 2, 156 ), ( 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156 ) }
Outer automorphisms :: reflexible
Dual of E26.1119
Graph:: bipartite
	v = 27 e = 156 f = 79
	degree seq :: [ 6^26, 156 ]

E26.1119 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 78, 78})
Quotient :: dipole
Aut^+ = C78 (small group id <78, 6>)
Aut   = D156 (small group id <156, 17>)
|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 * Y1^26, (Y1^-1 * Y3^-1)^78 ]
Map::
	R = (1, 79, 2, 80, 6, 84, 12, 90, 18, 96, 24, 102, 30, 108, 36, 114, 42, 120, 48, 126, 54, 132, 60, 138, 66, 144, 72, 150, 77, 155, 71, 149, 65, 143, 59, 137, 53, 131, 47, 125, 41, 119, 35, 113, 29, 107, 23, 101, 17, 95, 11, 89, 5, 83, 8, 86, 14, 92, 20, 98, 26, 104, 32, 110, 38, 116, 44, 122, 50, 128, 56, 134, 62, 140, 68, 146, 74, 152, 78, 156, 75, 153, 69, 147, 63, 141, 57, 135, 51, 129, 45, 123, 39, 117, 33, 111, 27, 105, 21, 99, 15, 93, 9, 87, 3, 81, 7, 85, 13, 91, 19, 97, 25, 103, 31, 109, 37, 115, 43, 121, 49, 127, 55, 133, 61, 139, 67, 145, 73, 151, 76, 154, 70, 148, 64, 142, 58, 136, 52, 130, 46, 124, 40, 118, 34, 112, 28, 106, 22, 100, 16, 94, 10, 88, 4, 82)(157, 235)(158, 236)(159, 237)(160, 238)(161, 239)(162, 240)(163, 241)(164, 242)(165, 243)(166, 244)(167, 245)(168, 246)(169, 247)(170, 248)(171, 249)(172, 250)(173, 251)(174, 252)(175, 253)(176, 254)(177, 255)(178, 256)(179, 257)(180, 258)(181, 259)(182, 260)(183, 261)(184, 262)(185, 263)(186, 264)(187, 265)(188, 266)(189, 267)(190, 268)(191, 269)(192, 270)(193, 271)(194, 272)(195, 273)(196, 274)(197, 275)(198, 276)(199, 277)(200, 278)(201, 279)(202, 280)(203, 281)(204, 282)(205, 283)(206, 284)(207, 285)(208, 286)(209, 287)(210, 288)(211, 289)(212, 290)(213, 291)(214, 292)(215, 293)(216, 294)(217, 295)(218, 296)(219, 297)(220, 298)(221, 299)(222, 300)(223, 301)(224, 302)(225, 303)(226, 304)(227, 305)(228, 306)(229, 307)(230, 308)(231, 309)(232, 310)(233, 311)(234, 312)
	L = (1, 159)(2, 163)(3, 161)(4, 165)(5, 157)(6, 169)(7, 164)(8, 158)(9, 167)(10, 171)(11, 160)(12, 175)(13, 170)(14, 162)(15, 173)(16, 177)(17, 166)(18, 181)(19, 176)(20, 168)(21, 179)(22, 183)(23, 172)(24, 187)(25, 182)(26, 174)(27, 185)(28, 189)(29, 178)(30, 193)(31, 188)(32, 180)(33, 191)(34, 195)(35, 184)(36, 199)(37, 194)(38, 186)(39, 197)(40, 201)(41, 190)(42, 205)(43, 200)(44, 192)(45, 203)(46, 207)(47, 196)(48, 211)(49, 206)(50, 198)(51, 209)(52, 213)(53, 202)(54, 217)(55, 212)(56, 204)(57, 215)(58, 219)(59, 208)(60, 223)(61, 218)(62, 210)(63, 221)(64, 225)(65, 214)(66, 229)(67, 224)(68, 216)(69, 227)(70, 231)(71, 220)(72, 232)(73, 230)(74, 222)(75, 233)(76, 234)(77, 226)(78, 228)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	local type(s) :: { ( 6, 156 ), ( 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156, 6, 156 ) }
Outer automorphisms :: reflexible
Dual of E26.1118
Graph:: bipartite
	v = 79 e = 156 f = 27
	degree seq :: [ 2^78, 156 ]

E26.1120 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 10, 40})
Quotient :: edge
Aut^+ = C5 x QD16 (small group id <80, 26>)
Aut   = (D8 x D10) : C2 (small group id <160, 135>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2^-1 * T1^2 * T2 * T1^-2, T2^-1 * T1 * T2^2 * T1^-1 * T2^-1, T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1^-1, T2 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2^10, T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-3 * T1^-1 * T2^-3 * T1^-1 * T2^-3 * T1^-1 * T2^-3 * T1^-1 * T2^-3 * T1^-1 * T2^-3 * T1^-1 * T2^-3 * T1^-1 * T2^-3 * T1^-1 * T2^-3 * T1^-1 * T2^-1 * T1^-2 ]
Map:: non-degenerate
	R = (1, 3, 10, 27, 46, 62, 52, 34, 16, 5)(2, 7, 20, 39, 56, 71, 60, 44, 24, 8)(4, 12, 28, 48, 63, 77, 65, 49, 31, 13)(6, 17, 35, 53, 68, 78, 69, 54, 36, 18)(9, 25, 45, 61, 75, 66, 50, 32, 14, 26)(11, 29, 47, 64, 76, 67, 51, 33, 15, 30)(19, 37, 55, 70, 79, 73, 58, 42, 22, 38)(21, 40, 57, 72, 80, 74, 59, 43, 23, 41)(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, 148, 143)(132, 140, 149, 145)(141, 152, 144, 150)(142, 155, 158, 156)(146, 154, 147, 153)(151, 159, 157, 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 ), ( 80^10 ) }
Outer automorphisms :: reflexible
Dual of E26.1124
Transitivity :: ET+
Graph:: simple bipartite
	v = 28 e = 80 f = 2
	degree seq :: [ 4^20, 10^8 ]

E26.1121 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 10, 40})
Quotient :: edge
Aut^+ = C5 x QD16 (small group id <80, 26>)
Aut   = (D8 x D10) : C2 (small group id <160, 135>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-2 * T2^-1 * T1^2, T1^-1 * T2 * T1^-1 * T2^-3, T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2 * T1 * T2^-1, (T2^-1 * T1^-1)^4, T1^-3 * T2 * T1^-2 * T2 * T1^-1 * T2^2, T1^10, T2 * T1^-1 * T2^26 * T1^-1 * T2 ]
Map:: non-degenerate
	R = (1, 3, 10, 30, 59, 73, 48, 20, 6, 19, 46, 23, 53, 78, 65, 71, 42, 70, 50, 21, 49, 37, 52, 77, 66, 80, 56, 72, 55, 25, 51, 36, 13, 33, 62, 79, 54, 24, 17, 5)(2, 7, 22, 11, 32, 63, 74, 44, 18, 43, 28, 9, 27, 57, 31, 61, 69, 68, 41, 45, 40, 16, 29, 58, 35, 60, 76, 67, 39, 15, 38, 14, 4, 12, 34, 64, 75, 47, 26, 8)(81, 82, 86, 98, 122, 149, 146, 115, 93, 84)(83, 89, 99, 125, 150, 147, 160, 144, 113, 91)(85, 95, 100, 127, 151, 143, 157, 137, 116, 96)(87, 101, 123, 152, 148, 159, 140, 110, 92, 103)(88, 104, 124, 153, 141, 158, 138, 117, 94, 105)(90, 109, 126, 118, 130, 106, 136, 154, 142, 111)(97, 121, 128, 156, 145, 114, 132, 102, 131, 108)(107, 129, 120, 135, 119, 134, 155, 139, 112, 133)
	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) :: { ( 8^10 ), ( 8^40 ) }
Outer automorphisms :: reflexible
Dual of E26.1125
Transitivity :: ET+
Graph:: bipartite
	v = 10 e = 80 f = 20
	degree seq :: [ 10^8, 40^2 ]

E26.1122 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 10, 40})
Quotient :: edge
Aut^+ = C5 x QD16 (small group id <80, 26>)
Aut   = (D8 x D10) : C2 (small group id <160, 135>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, T2^-2 * T1 * T2^-2 * T1^-1, T1^-1 * T2^-1 * T1^2 * T2^-1 * T1^-1, T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2^-1, T2^-1 * T1^-1 * T2^-1 * T1^-9, (T2 * T1^-1)^10 ]
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, 78, 67, 69)(68, 74, 80, 72)(81, 82, 86, 97, 115, 133, 149, 142, 126, 108, 123, 106, 122, 140, 156, 160, 157, 141, 125, 107, 90, 101, 119, 137, 153, 159, 158, 143, 128, 110, 124, 105, 121, 139, 155, 148, 132, 113, 93, 84)(83, 89, 99, 120, 134, 152, 147, 131, 114, 94, 102, 87, 100, 117, 138, 150, 146, 130, 112, 96, 85, 95, 98, 118, 135, 154, 145, 129, 111, 92, 104, 88, 103, 116, 136, 151, 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) :: { ( 20^4 ), ( 20^40 ) }
Outer automorphisms :: reflexible
Dual of E26.1123
Transitivity :: ET+
Graph:: bipartite
	v = 22 e = 80 f = 8
	degree seq :: [ 4^20, 40^2 ]

E26.1123 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 10, 40})
Quotient :: loop
Aut^+ = C5 x QD16 (small group id <80, 26>)
Aut   = (D8 x D10) : C2 (small group id <160, 135>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2^-1 * T1^2 * T2 * T1^-2, T2^-1 * T1 * T2^2 * T1^-1 * T2^-1, T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1^-1, T2 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2^10, T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-3 * T1^-1 * T2^-3 * T1^-1 * T2^-3 * T1^-1 * T2^-3 * T1^-1 * T2^-3 * T1^-1 * T2^-3 * T1^-1 * T2^-3 * T1^-1 * T2^-3 * T1^-1 * T2^-3 * T1^-1 * T2^-1 * T1^-2 ]
Map:: non-degenerate
	R = (1, 81, 3, 83, 10, 90, 27, 107, 46, 126, 62, 142, 52, 132, 34, 114, 16, 96, 5, 85)(2, 82, 7, 87, 20, 100, 39, 119, 56, 136, 71, 151, 60, 140, 44, 124, 24, 104, 8, 88)(4, 84, 12, 92, 28, 108, 48, 128, 63, 143, 77, 157, 65, 145, 49, 129, 31, 111, 13, 93)(6, 86, 17, 97, 35, 115, 53, 133, 68, 148, 78, 158, 69, 149, 54, 134, 36, 116, 18, 98)(9, 89, 25, 105, 45, 125, 61, 141, 75, 155, 66, 146, 50, 130, 32, 112, 14, 94, 26, 106)(11, 91, 29, 109, 47, 127, 64, 144, 76, 156, 67, 147, 51, 131, 33, 113, 15, 95, 30, 110)(19, 99, 37, 117, 55, 135, 70, 150, 79, 159, 73, 153, 58, 138, 42, 122, 22, 102, 38, 118)(21, 101, 40, 120, 57, 137, 72, 152, 80, 160, 74, 154, 59, 139, 43, 123, 23, 103, 41, 121)
	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, 148)(57, 119)(58, 129)(59, 124)(60, 149)(61, 152)(62, 155)(63, 126)(64, 150)(65, 132)(66, 154)(67, 153)(68, 143)(69, 145)(70, 141)(71, 159)(72, 144)(73, 146)(74, 147)(75, 158)(76, 142)(77, 160)(78, 156)(79, 157)(80, 151)
	local type(s) :: { ( 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 E26.1122
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 80 f = 22
	degree seq :: [ 20^8 ]

E26.1124 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 10, 40})
Quotient :: loop
Aut^+ = C5 x QD16 (small group id <80, 26>)
Aut   = (D8 x D10) : C2 (small group id <160, 135>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-2 * T2^-1 * T1^2, T1^-1 * T2 * T1^-1 * T2^-3, T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2 * T1 * T2^-1, (T2^-1 * T1^-1)^4, T1^-3 * T2 * T1^-2 * T2 * T1^-1 * T2^2, T1^10, T2 * T1^-1 * T2^26 * T1^-1 * T2 ]
Map:: non-degenerate
	R = (1, 81, 3, 83, 10, 90, 30, 110, 59, 139, 73, 153, 48, 128, 20, 100, 6, 86, 19, 99, 46, 126, 23, 103, 53, 133, 78, 158, 65, 145, 71, 151, 42, 122, 70, 150, 50, 130, 21, 101, 49, 129, 37, 117, 52, 132, 77, 157, 66, 146, 80, 160, 56, 136, 72, 152, 55, 135, 25, 105, 51, 131, 36, 116, 13, 93, 33, 113, 62, 142, 79, 159, 54, 134, 24, 104, 17, 97, 5, 85)(2, 82, 7, 87, 22, 102, 11, 91, 32, 112, 63, 143, 74, 154, 44, 124, 18, 98, 43, 123, 28, 108, 9, 89, 27, 107, 57, 137, 31, 111, 61, 141, 69, 149, 68, 148, 41, 121, 45, 125, 40, 120, 16, 96, 29, 109, 58, 138, 35, 115, 60, 140, 76, 156, 67, 147, 39, 119, 15, 95, 38, 118, 14, 94, 4, 84, 12, 92, 34, 114, 64, 144, 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, 146)(70, 147)(71, 143)(72, 148)(73, 141)(74, 142)(75, 139)(76, 145)(77, 137)(78, 138)(79, 140)(80, 144)
	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, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E26.1120
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 80 f = 28
	degree seq :: [ 80^2 ]

E26.1125 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 10, 40})
Quotient :: loop
Aut^+ = C5 x QD16 (small group id <80, 26>)
Aut   = (D8 x D10) : C2 (small group id <160, 135>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, T2^-2 * T1 * T2^-2 * T1^-1, T1^-1 * T2^-1 * T1^2 * T2^-1 * T1^-1, T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2^-1, T2^-1 * T1^-1 * T2^-1 * T1^-9, (T2 * T1^-1)^10 ]
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, 78, 158, 67, 147, 69, 149)(68, 148, 74, 154, 80, 160, 72, 152)
	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, 142)(70, 146)(71, 144)(72, 147)(73, 159)(74, 145)(75, 148)(76, 160)(77, 141)(78, 143)(79, 158)(80, 157)
	local type(s) :: { ( 10, 40, 10, 40, 10, 40, 10, 40 ) }
Outer automorphisms :: reflexible
Dual of E26.1121
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 20 e = 80 f = 10
	degree seq :: [ 8^20 ]

E26.1126 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 10, 40})
Quotient :: dipole
Aut^+ = C5 x QD16 (small group id <80, 26>)
Aut   = (D8 x D10) : C2 (small group id <160, 135>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^2 * Y3^-2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y3 * Y2^-1 * Y1^-1 * Y3 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y2^-1 * Y1 * Y2^2 * Y1^-1 * Y2^-1, Y2^-1 * Y3 * Y2^2 * Y3^-1 * Y2^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^10, (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, 68, 148, 63, 143)(52, 132, 60, 140, 69, 149, 65, 145)(61, 141, 72, 152, 64, 144, 70, 150)(62, 142, 75, 155, 78, 158, 76, 156)(66, 146, 74, 154, 67, 147, 73, 153)(71, 151, 79, 159, 77, 157, 80, 160)(161, 241, 163, 243, 170, 250, 187, 267, 206, 286, 222, 302, 212, 292, 194, 274, 176, 256, 165, 245)(162, 242, 167, 247, 180, 260, 199, 279, 216, 296, 231, 311, 220, 300, 204, 284, 184, 264, 168, 248)(164, 244, 172, 252, 188, 268, 208, 288, 223, 303, 237, 317, 225, 305, 209, 289, 191, 271, 173, 253)(166, 246, 177, 257, 195, 275, 213, 293, 228, 308, 238, 318, 229, 309, 214, 294, 196, 276, 178, 258)(169, 249, 185, 265, 205, 285, 221, 301, 235, 315, 226, 306, 210, 290, 192, 272, 174, 254, 186, 266)(171, 251, 189, 269, 207, 287, 224, 304, 236, 316, 227, 307, 211, 291, 193, 273, 175, 255, 190, 270)(179, 259, 197, 277, 215, 295, 230, 310, 239, 319, 233, 313, 218, 298, 202, 282, 182, 262, 198, 278)(181, 261, 200, 280, 217, 297, 232, 312, 240, 320, 234, 314, 219, 299, 203, 283, 183, 263, 201, 281)
	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, 230)(62, 236)(63, 228)(64, 232)(65, 229)(66, 233)(67, 234)(68, 216)(69, 220)(70, 224)(71, 240)(72, 221)(73, 227)(74, 226)(75, 222)(76, 238)(77, 239)(78, 235)(79, 231)(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) :: { ( 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 E26.1129
Graph:: bipartite
	v = 28 e = 160 f = 82
	degree seq :: [ 8^20, 20^8 ]

E26.1127 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 10, 40})
Quotient :: dipole
Aut^+ = C5 x QD16 (small group id <80, 26>)
Aut   = (D8 x D10) : C2 (small group id <160, 135>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1^-2 * Y2 * Y1^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^2, Y1 * Y2^-1 * Y1^-2 * Y2 * Y1, Y1^-1 * Y2^-2 * Y1^-1 * Y2^-2 * Y1^-2, (Y3^-1 * Y1^-1)^4, Y1^-1 * Y2 * Y1^-1 * Y2^2 * Y1^-1 * Y2 * Y1^-3, Y1^10, Y2^24 * Y1^4 ]
Map::
	R = (1, 81, 2, 82, 6, 86, 18, 98, 42, 122, 69, 149, 66, 146, 35, 115, 13, 93, 4, 84)(3, 83, 9, 89, 19, 99, 45, 125, 70, 150, 67, 147, 80, 160, 64, 144, 33, 113, 11, 91)(5, 85, 15, 95, 20, 100, 47, 127, 71, 151, 63, 143, 77, 157, 57, 137, 36, 116, 16, 96)(7, 87, 21, 101, 43, 123, 72, 152, 68, 148, 79, 159, 60, 140, 30, 110, 12, 92, 23, 103)(8, 88, 24, 104, 44, 124, 73, 153, 61, 141, 78, 158, 58, 138, 37, 117, 14, 94, 25, 105)(10, 90, 29, 109, 46, 126, 38, 118, 50, 130, 26, 106, 56, 136, 74, 154, 62, 142, 31, 111)(17, 97, 41, 121, 48, 128, 76, 156, 65, 145, 34, 114, 52, 132, 22, 102, 51, 131, 28, 108)(27, 107, 49, 129, 40, 120, 55, 135, 39, 119, 54, 134, 75, 155, 59, 139, 32, 112, 53, 133)(161, 241, 163, 243, 170, 250, 190, 270, 219, 299, 233, 313, 208, 288, 180, 260, 166, 246, 179, 259, 206, 286, 183, 263, 213, 293, 238, 318, 225, 305, 231, 311, 202, 282, 230, 310, 210, 290, 181, 261, 209, 289, 197, 277, 212, 292, 237, 317, 226, 306, 240, 320, 216, 296, 232, 312, 215, 295, 185, 265, 211, 291, 196, 276, 173, 253, 193, 273, 222, 302, 239, 319, 214, 294, 184, 264, 177, 257, 165, 245)(162, 242, 167, 247, 182, 262, 171, 251, 192, 272, 223, 303, 234, 314, 204, 284, 178, 258, 203, 283, 188, 268, 169, 249, 187, 267, 217, 297, 191, 271, 221, 301, 229, 309, 228, 308, 201, 281, 205, 285, 200, 280, 176, 256, 189, 269, 218, 298, 195, 275, 220, 300, 236, 316, 227, 307, 199, 279, 175, 255, 198, 278, 174, 254, 164, 244, 172, 252, 194, 274, 224, 304, 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, 233)(60, 236)(61, 229)(62, 239)(63, 234)(64, 235)(65, 231)(66, 240)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.1128
Graph:: bipartite
	v = 10 e = 160 f = 100
	degree seq :: [ 20^8, 80^2 ]

E26.1128 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 10, 40})
Quotient :: dipole
Aut^+ = C5 x QD16 (small group id <80, 26>)
Aut   = (D8 x D10) : C2 (small group id <160, 135>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, Y2^4, (R * Y3)^2, (R * Y1)^2, Y2 * Y3 * Y2^2 * Y3^-1 * Y2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3^-2 * Y2 * Y3^-7 * Y2^-1 * Y3^-1, (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, 237, 317, 239, 319, 236, 316)(226, 306, 235, 315, 227, 307, 234, 314)(228, 308, 238, 318, 240, 320, 233, 313)
	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, 237)(62, 238)(63, 236)(64, 234)(65, 209)(66, 210)(67, 211)(68, 212)(69, 239)(70, 214)(71, 228)(72, 240)(73, 227)(74, 218)(75, 219)(76, 220)(77, 225)(78, 226)(79, 235)(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) :: { ( 20, 80 ), ( 20, 80, 20, 80, 20, 80, 20, 80 ) }
Outer automorphisms :: reflexible
Dual of E26.1127
Graph:: simple bipartite
	v = 100 e = 160 f = 10
	degree seq :: [ 2^80, 8^20 ]

E26.1129 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 10, 40})
Quotient :: dipole
Aut^+ = C5 x QD16 (small group id <80, 26>)
Aut   = (D8 x D10) : C2 (small group id <160, 135>)
|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, Y3 * Y1^2 * Y3 * Y1^-2, Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3^-1, (Y3 * Y2^-1)^4, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-9, (Y3 * Y1^-1)^10 ]
Map::
	R = (1, 81, 2, 82, 6, 86, 17, 97, 35, 115, 53, 133, 69, 149, 62, 142, 46, 126, 28, 108, 43, 123, 26, 106, 42, 122, 60, 140, 76, 156, 80, 160, 77, 157, 61, 141, 45, 125, 27, 107, 10, 90, 21, 101, 39, 119, 57, 137, 73, 153, 79, 159, 78, 158, 63, 143, 48, 128, 30, 110, 44, 124, 25, 105, 41, 121, 59, 139, 75, 155, 68, 148, 52, 132, 33, 113, 13, 93, 4, 84)(3, 83, 9, 89, 19, 99, 40, 120, 54, 134, 72, 152, 67, 147, 51, 131, 34, 114, 14, 94, 22, 102, 7, 87, 20, 100, 37, 117, 58, 138, 70, 150, 66, 146, 50, 130, 32, 112, 16, 96, 5, 85, 15, 95, 18, 98, 38, 118, 55, 135, 74, 154, 65, 145, 49, 129, 31, 111, 12, 92, 24, 104, 8, 88, 23, 103, 36, 116, 56, 136, 71, 151, 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, 238)(66, 212)(67, 229)(68, 234)(69, 225)(70, 239)(71, 213)(72, 228)(73, 215)(74, 240)(75, 218)(76, 216)(77, 226)(78, 227)(79, 231)(80, 232)(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, 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, 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 E26.1126
Graph:: simple bipartite
	v = 82 e = 160 f = 28
	degree seq :: [ 2^80, 80^2 ]

E26.1130 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 10, 40})
Quotient :: dipole
Aut^+ = C5 x QD16 (small group id <80, 26>)
Aut   = (D8 x D10) : C2 (small group id <160, 135>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3^-2 * Y1^2, Y1^4, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2^2 * Y1^-1 * Y2^-1, Y2 * Y3 * Y2^-2 * Y1^-1 * Y2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y1^-1, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2^7 * Y3^-1 * Y2 * Y3^-1 * Y2^2, (Y3 * Y2^-1)^10 ]
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, 77, 157, 79, 159, 76, 156)(66, 146, 75, 155, 67, 147, 74, 154)(68, 148, 78, 158, 80, 160, 73, 153)(161, 241, 163, 243, 170, 250, 188, 268, 208, 288, 224, 304, 234, 314, 218, 298, 202, 282, 182, 262, 201, 281, 181, 261, 200, 280, 216, 296, 232, 312, 240, 320, 230, 310, 214, 294, 196, 276, 178, 258, 166, 246, 177, 257, 195, 275, 213, 293, 229, 309, 239, 319, 235, 315, 219, 299, 203, 283, 183, 263, 198, 278, 179, 259, 197, 277, 215, 295, 231, 311, 228, 308, 212, 292, 194, 274, 176, 256, 165, 245)(162, 242, 167, 247, 180, 260, 199, 279, 217, 297, 233, 313, 227, 307, 211, 291, 193, 273, 175, 255, 186, 266, 169, 249, 185, 265, 205, 285, 221, 301, 237, 317, 225, 305, 209, 289, 191, 271, 173, 253, 164, 244, 172, 252, 187, 267, 206, 286, 222, 302, 238, 318, 226, 306, 210, 290, 192, 272, 174, 254, 190, 270, 171, 251, 189, 269, 207, 287, 223, 303, 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, 236)(65, 230)(66, 234)(67, 235)(68, 233)(69, 217)(70, 220)(71, 223)(72, 221)(73, 240)(74, 227)(75, 226)(76, 239)(77, 224)(78, 228)(79, 237)(80, 238)(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, 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 E26.1131
Graph:: bipartite
	v = 22 e = 160 f = 88
	degree seq :: [ 8^20, 80^2 ]

E26.1131 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 10, 40})
Quotient :: dipole
Aut^+ = C5 x QD16 (small group id <80, 26>)
Aut   = (D8 x D10) : C2 (small group id <160, 135>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y1^-1 * Y3^-3, Y3 * Y1^2 * Y3^-1 * Y1^-2, Y3^2 * Y1^2 * Y3 * Y1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3^-2 * Y1^-2 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1)^4, Y1^-1 * Y3 * Y1^-1 * Y3^2 * Y1^-1 * Y3 * Y1^-3, Y1^10, (Y3 * Y2^-1)^40 ]
Map::
	R = (1, 81, 2, 82, 6, 86, 18, 98, 42, 122, 69, 149, 66, 146, 35, 115, 13, 93, 4, 84)(3, 83, 9, 89, 19, 99, 45, 125, 70, 150, 67, 147, 80, 160, 64, 144, 33, 113, 11, 91)(5, 85, 15, 95, 20, 100, 47, 127, 71, 151, 63, 143, 77, 157, 57, 137, 36, 116, 16, 96)(7, 87, 21, 101, 43, 123, 72, 152, 68, 148, 79, 159, 60, 140, 30, 110, 12, 92, 23, 103)(8, 88, 24, 104, 44, 124, 73, 153, 61, 141, 78, 158, 58, 138, 37, 117, 14, 94, 25, 105)(10, 90, 29, 109, 46, 126, 38, 118, 50, 130, 26, 106, 56, 136, 74, 154, 62, 142, 31, 111)(17, 97, 41, 121, 48, 128, 76, 156, 65, 145, 34, 114, 52, 132, 22, 102, 51, 131, 28, 108)(27, 107, 49, 129, 40, 120, 55, 135, 39, 119, 54, 134, 75, 155, 59, 139, 32, 112, 53, 133)(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, 233)(60, 236)(61, 229)(62, 239)(63, 234)(64, 235)(65, 231)(66, 240)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.1130
Graph:: simple bipartite
	v = 88 e = 160 f = 22
	degree seq :: [ 2^80, 20^8 ]

E26.1132 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 14})
Quotient :: dipole
Aut^+ = S3 x D14 (small group id <84, 8>)
Aut   = C2 x S3 x D14 (small group id <168, 50>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^-3 * Y2, Y3 * Y2 * Y3^-1 * Y2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3 * Y1 * Y3 * Y2 * Y1 * Y2, Y2 * Y1 * Y2 * 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 non-degenerate
	R = (1, 85, 2, 86)(3, 87, 9, 93)(4, 88, 12, 96)(5, 89, 13, 97)(6, 90, 14, 98)(7, 91, 17, 101)(8, 92, 18, 102)(10, 94, 16, 100)(11, 95, 15, 99)(19, 103, 25, 109)(20, 104, 26, 110)(21, 105, 27, 111)(22, 106, 28, 112)(23, 107, 29, 113)(24, 108, 30, 114)(31, 115, 37, 121)(32, 116, 38, 122)(33, 117, 39, 123)(34, 118, 40, 124)(35, 119, 41, 125)(36, 120, 42, 126)(43, 127, 49, 133)(44, 128, 50, 134)(45, 129, 51, 135)(46, 130, 52, 136)(47, 131, 53, 137)(48, 132, 54, 138)(55, 139, 61, 145)(56, 140, 62, 146)(57, 141, 63, 147)(58, 142, 64, 148)(59, 143, 65, 149)(60, 144, 66, 150)(67, 151, 73, 157)(68, 152, 74, 158)(69, 153, 75, 159)(70, 154, 76, 160)(71, 155, 77, 161)(72, 156, 78, 162)(79, 163, 82, 166)(80, 164, 84, 168)(81, 165, 83, 167)(169, 253, 171, 255)(170, 254, 174, 258)(172, 256, 178, 262)(173, 257, 179, 263)(175, 259, 183, 267)(176, 260, 184, 268)(177, 261, 187, 271)(180, 264, 189, 273)(181, 265, 188, 272)(182, 266, 190, 274)(185, 269, 192, 276)(186, 270, 191, 275)(193, 277, 199, 283)(194, 278, 201, 285)(195, 279, 200, 284)(196, 280, 202, 286)(197, 281, 204, 288)(198, 282, 203, 287)(205, 289, 211, 295)(206, 290, 213, 297)(207, 291, 212, 296)(208, 292, 214, 298)(209, 293, 216, 300)(210, 294, 215, 299)(217, 301, 223, 307)(218, 302, 225, 309)(219, 303, 224, 308)(220, 304, 226, 310)(221, 305, 228, 312)(222, 306, 227, 311)(229, 313, 235, 319)(230, 314, 237, 321)(231, 315, 236, 320)(232, 316, 238, 322)(233, 317, 240, 324)(234, 318, 239, 323)(241, 325, 247, 331)(242, 326, 249, 333)(243, 327, 248, 332)(244, 328, 250, 334)(245, 329, 252, 336)(246, 330, 251, 335)
	L = (1, 172)(2, 175)(3, 178)(4, 179)(5, 169)(6, 183)(7, 184)(8, 170)(9, 188)(10, 173)(11, 171)(12, 187)(13, 189)(14, 191)(15, 176)(16, 174)(17, 190)(18, 192)(19, 181)(20, 180)(21, 177)(22, 186)(23, 185)(24, 182)(25, 200)(26, 199)(27, 201)(28, 203)(29, 202)(30, 204)(31, 195)(32, 194)(33, 193)(34, 198)(35, 197)(36, 196)(37, 212)(38, 211)(39, 213)(40, 215)(41, 214)(42, 216)(43, 207)(44, 206)(45, 205)(46, 210)(47, 209)(48, 208)(49, 224)(50, 223)(51, 225)(52, 227)(53, 226)(54, 228)(55, 219)(56, 218)(57, 217)(58, 222)(59, 221)(60, 220)(61, 236)(62, 235)(63, 237)(64, 239)(65, 238)(66, 240)(67, 231)(68, 230)(69, 229)(70, 234)(71, 233)(72, 232)(73, 248)(74, 247)(75, 249)(76, 251)(77, 250)(78, 252)(79, 243)(80, 242)(81, 241)(82, 246)(83, 245)(84, 244)(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, 28, 6, 28 ) }
Outer automorphisms :: reflexible
Dual of E26.1137
Graph:: simple bipartite
	v = 84 e = 168 f = 34
	degree seq :: [ 4^84 ]

E26.1133 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 14})
Quotient :: dipole
Aut^+ = S3 x D14 (small group id <84, 8>)
Aut   = C2 x S3 x D14 (small group id <168, 50>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^-1 * Y2 * Y3 * Y2, (Y3^-1 * Y1)^2, (R * Y1)^2, R * Y2 * R * Y2^-1, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, Y3^14 ]
Map:: polytopal 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, 21, 105)(14, 98, 22, 106)(15, 99, 19, 103)(16, 100, 20, 104)(23, 107, 30, 114)(24, 108, 29, 113)(25, 109, 33, 117)(26, 110, 34, 118)(27, 111, 31, 115)(28, 112, 32, 116)(35, 119, 42, 126)(36, 120, 41, 125)(37, 121, 45, 129)(38, 122, 46, 130)(39, 123, 43, 127)(40, 124, 44, 128)(47, 131, 54, 138)(48, 132, 53, 137)(49, 133, 57, 141)(50, 134, 58, 142)(51, 135, 55, 139)(52, 136, 56, 140)(59, 143, 66, 150)(60, 144, 65, 149)(61, 145, 69, 153)(62, 146, 70, 154)(63, 147, 67, 151)(64, 148, 68, 152)(71, 155, 77, 161)(72, 156, 76, 160)(73, 157, 80, 164)(74, 158, 79, 163)(75, 159, 78, 162)(81, 165, 83, 167)(82, 166, 84, 168)(169, 253, 171, 255, 173, 257)(170, 254, 175, 259, 177, 261)(172, 256, 181, 265, 179, 263)(174, 258, 183, 267, 180, 264)(176, 260, 187, 271, 185, 269)(178, 262, 189, 273, 186, 270)(182, 266, 191, 275, 193, 277)(184, 268, 192, 276, 195, 279)(188, 272, 197, 281, 199, 283)(190, 274, 198, 282, 201, 285)(194, 278, 205, 289, 203, 287)(196, 280, 207, 291, 204, 288)(200, 284, 211, 295, 209, 293)(202, 286, 213, 297, 210, 294)(206, 290, 215, 299, 217, 301)(208, 292, 216, 300, 219, 303)(212, 296, 221, 305, 223, 307)(214, 298, 222, 306, 225, 309)(218, 302, 229, 313, 227, 311)(220, 304, 231, 315, 228, 312)(224, 308, 235, 319, 233, 317)(226, 310, 237, 321, 234, 318)(230, 314, 239, 323, 241, 325)(232, 316, 240, 324, 243, 327)(236, 320, 244, 328, 246, 330)(238, 322, 245, 329, 248, 332)(242, 326, 250, 334, 249, 333)(247, 331, 252, 336, 251, 335)
	L = (1, 172)(2, 176)(3, 179)(4, 182)(5, 181)(6, 169)(7, 185)(8, 188)(9, 187)(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, 250)(74, 232)(75, 231)(76, 251)(77, 234)(78, 252)(79, 238)(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, 28, 4, 28 ), ( 4, 28, 4, 28, 4, 28 ) }
Outer automorphisms :: reflexible
Dual of E26.1136
Graph:: simple bipartite
	v = 70 e = 168 f = 48
	degree seq :: [ 4^42, 6^28 ]

E26.1134 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 14})
Quotient :: dipole
Aut^+ = S3 x D14 (small group id <84, 8>)
Aut   = C2 x S3 x D14 (small group id <168, 50>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^-1 * Y2 * Y3 * Y2, (Y3^-1 * Y1)^2, (R * Y1)^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (Y2 * Y1)^2, Y3^14 ]
Map:: polytopal 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, 19, 103)(13, 97, 18, 102)(14, 98, 22, 106)(15, 99, 17, 101)(16, 100, 20, 104)(23, 107, 33, 117)(24, 108, 31, 115)(25, 109, 30, 114)(26, 110, 34, 118)(27, 111, 29, 113)(28, 112, 32, 116)(35, 119, 45, 129)(36, 120, 43, 127)(37, 121, 42, 126)(38, 122, 46, 130)(39, 123, 41, 125)(40, 124, 44, 128)(47, 131, 57, 141)(48, 132, 55, 139)(49, 133, 54, 138)(50, 134, 58, 142)(51, 135, 53, 137)(52, 136, 56, 140)(59, 143, 69, 153)(60, 144, 67, 151)(61, 145, 66, 150)(62, 146, 70, 154)(63, 147, 65, 149)(64, 148, 68, 152)(71, 155, 80, 164)(72, 156, 78, 162)(73, 157, 77, 161)(74, 158, 79, 163)(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, 181, 265, 179, 263)(174, 258, 183, 267, 180, 264)(176, 260, 187, 271, 185, 269)(178, 262, 189, 273, 186, 270)(182, 266, 191, 275, 193, 277)(184, 268, 192, 276, 195, 279)(188, 272, 197, 281, 199, 283)(190, 274, 198, 282, 201, 285)(194, 278, 205, 289, 203, 287)(196, 280, 207, 291, 204, 288)(200, 284, 211, 295, 209, 293)(202, 286, 213, 297, 210, 294)(206, 290, 215, 299, 217, 301)(208, 292, 216, 300, 219, 303)(212, 296, 221, 305, 223, 307)(214, 298, 222, 306, 225, 309)(218, 302, 229, 313, 227, 311)(220, 304, 231, 315, 228, 312)(224, 308, 235, 319, 233, 317)(226, 310, 237, 321, 234, 318)(230, 314, 239, 323, 241, 325)(232, 316, 240, 324, 243, 327)(236, 320, 244, 328, 246, 330)(238, 322, 245, 329, 248, 332)(242, 326, 250, 334, 249, 333)(247, 331, 252, 336, 251, 335)
	L = (1, 172)(2, 176)(3, 179)(4, 182)(5, 181)(6, 169)(7, 185)(8, 188)(9, 187)(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, 250)(74, 232)(75, 231)(76, 251)(77, 234)(78, 252)(79, 238)(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, 28, 4, 28 ), ( 4, 28, 4, 28, 4, 28 ) }
Outer automorphisms :: reflexible
Dual of E26.1135
Graph:: simple bipartite
	v = 70 e = 168 f = 48
	degree seq :: [ 4^42, 6^28 ]

E26.1135 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 14})
Quotient :: dipole
Aut^+ = S3 x D14 (small group id <84, 8>)
Aut   = C2 x S3 x D14 (small group id <168, 50>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3 * Y1^2 * Y3, (Y3 * Y2)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y3^-2 * Y1^12 ]
Map:: polytopal non-degenerate
	R = (1, 85, 2, 86, 7, 91, 19, 103, 35, 119, 49, 133, 61, 145, 73, 157, 70, 154, 59, 143, 46, 130, 33, 117, 15, 99, 5, 89)(3, 87, 11, 95, 27, 111, 43, 127, 55, 139, 67, 151, 79, 163, 82, 166, 74, 158, 62, 146, 50, 134, 36, 120, 20, 104, 8, 92)(4, 88, 14, 98, 6, 90, 18, 102, 21, 105, 39, 123, 51, 135, 65, 149, 75, 159, 71, 155, 58, 142, 47, 131, 32, 116, 16, 100)(9, 93, 24, 108, 10, 94, 26, 110, 37, 121, 53, 137, 63, 147, 77, 161, 72, 156, 60, 144, 48, 132, 34, 118, 17, 101, 25, 109)(12, 96, 29, 113, 13, 97, 31, 115, 44, 128, 57, 141, 68, 152, 81, 165, 83, 167, 78, 162, 64, 148, 54, 138, 38, 122, 30, 114)(22, 106, 40, 124, 23, 107, 42, 126, 28, 112, 45, 129, 56, 140, 69, 153, 80, 164, 84, 168, 76, 160, 66, 150, 52, 136, 41, 125)(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, 191, 275)(178, 262, 190, 274)(182, 266, 197, 281)(183, 267, 195, 279)(184, 268, 199, 283)(185, 269, 196, 280)(186, 270, 198, 282)(187, 271, 204, 288)(189, 273, 206, 290)(192, 276, 208, 292)(193, 277, 210, 294)(194, 278, 209, 293)(200, 284, 212, 296)(201, 285, 211, 295)(202, 286, 213, 297)(203, 287, 218, 302)(205, 289, 220, 304)(207, 291, 222, 306)(214, 298, 223, 307)(215, 299, 225, 309)(216, 300, 224, 308)(217, 301, 230, 314)(219, 303, 232, 316)(221, 305, 234, 318)(226, 310, 236, 320)(227, 311, 235, 319)(228, 312, 237, 321)(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, 183)(5, 185)(6, 169)(7, 174)(8, 190)(9, 173)(10, 170)(11, 191)(12, 188)(13, 171)(14, 193)(15, 200)(16, 202)(17, 201)(18, 192)(19, 178)(20, 206)(21, 175)(22, 204)(23, 176)(24, 182)(25, 184)(26, 186)(27, 181)(28, 179)(29, 208)(30, 209)(31, 210)(32, 214)(33, 216)(34, 215)(35, 189)(36, 220)(37, 187)(38, 218)(39, 194)(40, 198)(41, 222)(42, 197)(43, 196)(44, 195)(45, 199)(46, 226)(47, 228)(48, 227)(49, 205)(50, 232)(51, 203)(52, 230)(53, 207)(54, 234)(55, 212)(56, 211)(57, 213)(58, 238)(59, 240)(60, 239)(61, 219)(62, 244)(63, 217)(64, 242)(65, 221)(66, 246)(67, 224)(68, 223)(69, 225)(70, 243)(71, 245)(72, 241)(73, 231)(74, 251)(75, 229)(76, 250)(77, 233)(78, 252)(79, 236)(80, 235)(81, 237)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.1134
Graph:: simple bipartite
	v = 48 e = 168 f = 70
	degree seq :: [ 4^42, 28^6 ]

E26.1136 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 14})
Quotient :: dipole
Aut^+ = S3 x D14 (small group id <84, 8>)
Aut   = C2 x S3 x D14 (small group id <168, 50>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3 * Y1^2 * Y3, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y3^-1 * Y1^-1 * Y3 * Y2 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1, (Y1 * Y3^-1 * Y2)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2 * Y3^2 * Y2 * Y1^-1, Y1^-1 * Y3 * Y1 * Y2 * Y1^-1 * Y2, Y1^-2 * Y3^6 * Y1^-6 ]
Map:: polytopal non-degenerate
	R = (1, 85, 2, 86, 7, 91, 21, 105, 37, 121, 49, 133, 61, 145, 73, 157, 70, 154, 59, 143, 46, 130, 35, 119, 16, 100, 5, 89)(3, 87, 11, 95, 31, 115, 43, 127, 55, 139, 67, 151, 79, 163, 84, 168, 74, 158, 65, 149, 50, 134, 41, 125, 22, 106, 13, 97)(4, 88, 15, 99, 6, 90, 20, 104, 23, 107, 42, 126, 51, 135, 66, 150, 75, 159, 71, 155, 58, 142, 47, 131, 34, 118, 17, 101)(8, 92, 24, 108, 18, 102, 32, 116, 45, 129, 56, 140, 69, 153, 80, 164, 82, 166, 77, 161, 62, 146, 53, 137, 38, 122, 26, 110)(9, 93, 28, 112, 10, 94, 30, 114, 39, 123, 54, 138, 63, 147, 78, 162, 72, 156, 60, 144, 48, 132, 36, 120, 19, 103, 29, 113)(12, 96, 27, 111, 14, 98, 33, 117, 44, 128, 57, 141, 68, 152, 81, 165, 83, 167, 76, 160, 64, 148, 52, 136, 40, 124, 25, 109)(169, 253, 171, 255)(170, 254, 176, 260)(172, 256, 182, 266)(173, 257, 186, 270)(174, 258, 180, 264)(175, 259, 190, 274)(177, 261, 195, 279)(178, 262, 193, 277)(179, 263, 197, 281)(181, 265, 196, 280)(183, 267, 192, 276)(184, 268, 199, 283)(185, 269, 200, 284)(187, 271, 201, 285)(188, 272, 194, 278)(189, 273, 206, 290)(191, 275, 208, 292)(198, 282, 209, 293)(202, 286, 212, 296)(203, 287, 213, 297)(204, 288, 211, 295)(205, 289, 218, 302)(207, 291, 220, 304)(210, 294, 221, 305)(214, 298, 223, 307)(215, 299, 224, 308)(216, 300, 225, 309)(217, 301, 230, 314)(219, 303, 232, 316)(222, 306, 233, 317)(226, 310, 236, 320)(227, 311, 237, 321)(228, 312, 235, 319)(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, 184)(5, 187)(6, 169)(7, 174)(8, 193)(9, 173)(10, 170)(11, 192)(12, 190)(13, 194)(14, 171)(15, 197)(16, 202)(17, 204)(18, 195)(19, 203)(20, 196)(21, 178)(22, 208)(23, 175)(24, 181)(25, 206)(26, 209)(27, 176)(28, 183)(29, 185)(30, 188)(31, 182)(32, 179)(33, 186)(34, 214)(35, 216)(36, 215)(37, 191)(38, 220)(39, 189)(40, 218)(41, 221)(42, 198)(43, 200)(44, 199)(45, 201)(46, 226)(47, 228)(48, 227)(49, 207)(50, 232)(51, 205)(52, 230)(53, 233)(54, 210)(55, 212)(56, 211)(57, 213)(58, 238)(59, 240)(60, 239)(61, 219)(62, 244)(63, 217)(64, 242)(65, 245)(66, 222)(67, 224)(68, 223)(69, 225)(70, 243)(71, 246)(72, 241)(73, 231)(74, 251)(75, 229)(76, 250)(77, 252)(78, 234)(79, 236)(80, 235)(81, 237)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.1133
Graph:: simple bipartite
	v = 48 e = 168 f = 70
	degree seq :: [ 4^42, 28^6 ]

E26.1137 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 14})
Quotient :: dipole
Aut^+ = S3 x D14 (small group id <84, 8>)
Aut   = C2 x S3 x D14 (small group id <168, 50>)
|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, Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y2^14 ]
Map:: polytopal non-degenerate
	R = (1, 85, 2, 86, 5, 89)(3, 87, 10, 94, 7, 91)(4, 88, 13, 97, 8, 92)(6, 90, 15, 99, 9, 93)(11, 95, 17, 101, 21, 105)(12, 96, 18, 102, 22, 106)(14, 98, 19, 103, 25, 109)(16, 100, 20, 104, 27, 111)(23, 107, 33, 117, 29, 113)(24, 108, 34, 118, 30, 114)(26, 110, 37, 121, 31, 115)(28, 112, 39, 123, 32, 116)(35, 119, 41, 125, 45, 129)(36, 120, 42, 126, 46, 130)(38, 122, 43, 127, 49, 133)(40, 124, 44, 128, 51, 135)(47, 131, 57, 141, 53, 137)(48, 132, 58, 142, 54, 138)(50, 134, 61, 145, 55, 139)(52, 136, 63, 147, 56, 140)(59, 143, 65, 149, 69, 153)(60, 144, 66, 150, 70, 154)(62, 146, 67, 151, 73, 157)(64, 148, 68, 152, 75, 159)(71, 155, 79, 163, 76, 160)(72, 156, 80, 164, 77, 161)(74, 158, 82, 166, 78, 162)(81, 165, 83, 167, 84, 168)(169, 253, 171, 255, 179, 263, 191, 275, 203, 287, 215, 299, 227, 311, 239, 323, 232, 316, 220, 304, 208, 292, 196, 280, 184, 268, 174, 258)(170, 254, 175, 259, 185, 269, 197, 281, 209, 293, 221, 305, 233, 317, 244, 328, 236, 320, 224, 308, 212, 296, 200, 284, 188, 272, 177, 261)(172, 256, 182, 266, 194, 278, 206, 290, 218, 302, 230, 314, 242, 326, 249, 333, 240, 324, 228, 312, 216, 300, 204, 288, 192, 276, 180, 264)(173, 257, 178, 262, 189, 273, 201, 285, 213, 297, 225, 309, 237, 321, 247, 331, 243, 327, 231, 315, 219, 303, 207, 291, 195, 279, 183, 267)(176, 260, 187, 271, 199, 283, 211, 295, 223, 307, 235, 319, 246, 330, 251, 335, 245, 329, 234, 318, 222, 306, 210, 294, 198, 282, 186, 270)(181, 265, 193, 277, 205, 289, 217, 301, 229, 313, 241, 325, 250, 334, 252, 336, 248, 332, 238, 322, 226, 310, 214, 298, 202, 286, 190, 274)
	L = (1, 172)(2, 176)(3, 180)(4, 169)(5, 181)(6, 182)(7, 186)(8, 170)(9, 187)(10, 190)(11, 192)(12, 171)(13, 173)(14, 174)(15, 193)(16, 194)(17, 198)(18, 175)(19, 177)(20, 199)(21, 202)(22, 178)(23, 204)(24, 179)(25, 183)(26, 184)(27, 205)(28, 206)(29, 210)(30, 185)(31, 188)(32, 211)(33, 214)(34, 189)(35, 216)(36, 191)(37, 195)(38, 196)(39, 217)(40, 218)(41, 222)(42, 197)(43, 200)(44, 223)(45, 226)(46, 201)(47, 228)(48, 203)(49, 207)(50, 208)(51, 229)(52, 230)(53, 234)(54, 209)(55, 212)(56, 235)(57, 238)(58, 213)(59, 240)(60, 215)(61, 219)(62, 220)(63, 241)(64, 242)(65, 245)(66, 221)(67, 224)(68, 246)(69, 248)(70, 225)(71, 249)(72, 227)(73, 231)(74, 232)(75, 250)(76, 251)(77, 233)(78, 236)(79, 252)(80, 237)(81, 239)(82, 243)(83, 244)(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) :: { ( 4^6 ), ( 4^28 ) }
Outer automorphisms :: reflexible
Dual of E26.1132
Graph:: simple bipartite
	v = 34 e = 168 f = 84
	degree seq :: [ 6^28, 28^6 ]

E26.1138 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 14})
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 * 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 * Y3^2 ]
Map:: polytopal 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, 244, 328, 251, 335)(247, 331, 250, 334, 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, 245)(66, 222)(67, 247)(68, 248)(69, 225)(70, 226)(71, 244)(72, 228)(73, 243)(74, 251)(75, 231)(76, 232)(77, 250)(78, 234)(79, 249)(80, 252)(81, 237)(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) :: { ( 4, 28, 4, 28 ), ( 4, 28, 4, 28, 4, 28 ) }
Outer automorphisms :: reflexible
Dual of E26.1139
Graph:: simple bipartite
	v = 70 e = 168 f = 48
	degree seq :: [ 4^42, 6^28 ]

E26.1139 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 14})
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^-12 * Y1^2, Y3^7 * Y1^-1 * Y3 * Y1^-4 * Y3, Y1^14 ]
Map:: polytopal non-degenerate
	R = (1, 85, 2, 86, 7, 91, 19, 103, 35, 119, 49, 133, 61, 145, 73, 157, 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, 82, 166, 74, 158, 62, 146, 50, 134, 36, 120, 20, 104, 8, 92)(4, 88, 9, 93, 21, 105, 18, 102, 26, 110, 40, 124, 53, 137, 65, 149, 77, 161, 72, 156, 59, 143, 46, 130, 34, 118, 15, 99)(6, 90, 10, 94, 22, 106, 37, 121, 51, 135, 63, 147, 75, 159, 71, 155, 58, 142, 48, 132, 33, 117, 14, 98, 25, 109, 17, 101)(12, 96, 28, 112, 42, 126, 31, 115, 45, 129, 57, 141, 69, 153, 81, 165, 83, 167, 76, 160, 64, 148, 52, 136, 38, 122, 23, 107)(13, 97, 29, 113, 44, 128, 56, 140, 68, 152, 80, 164, 84, 168, 78, 162, 66, 150, 54, 138, 41, 125, 30, 114, 39, 123, 24, 108)(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, 245)(71, 241)(72, 243)(73, 233)(74, 251)(75, 229)(76, 252)(77, 231)(78, 250)(79, 237)(80, 235)(81, 236)(82, 249)(83, 248)(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) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 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 E26.1138
Graph:: simple bipartite
	v = 48 e = 168 f = 70
	degree seq :: [ 4^42, 28^6 ]

E26.1140 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {6, 6, 14})
Quotient :: edge
Aut^+ = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 1
Presentation :: [ X2^2 * X1^-1 * X2^-1 * X1 * X2, X1^6, X2 * X1 * X2 * X1 * X2^-1 * X1^-1 * X2 * X1^-1, (X2 * X1^-3)^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 18, 13, 4)(3, 9, 27, 48, 33, 11)(5, 15, 42, 47, 44, 16)(7, 21, 55, 38, 60, 23)(8, 24, 62, 37, 64, 25)(10, 29, 56, 76, 68, 31)(12, 30, 53, 20, 52, 36)(14, 39, 51, 19, 49, 40)(17, 46, 63, 75, 73, 34)(22, 57, 77, 71, 45, 58)(26, 66, 79, 70, 32, 61)(28, 54, 80, 72, 35, 59)(41, 65, 43, 50, 78, 74)(67, 81, 84, 83, 69, 82)(85, 87, 94, 114, 145, 107, 143, 166, 149, 109, 142, 123, 101, 89)(86, 91, 106, 93, 112, 135, 113, 151, 130, 137, 127, 99, 110, 92)(88, 96, 119, 148, 118, 95, 116, 153, 129, 100, 115, 144, 125, 98)(90, 103, 134, 105, 140, 126, 141, 165, 150, 111, 147, 108, 138, 104)(97, 121, 154, 128, 158, 120, 157, 167, 152, 124, 156, 117, 155, 122)(102, 131, 159, 133, 161, 146, 162, 168, 164, 139, 163, 136, 160, 132)
	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 ), ( 12^14 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 20 e = 84 f = 14
	degree seq :: [ 6^14, 14^6 ]

E26.1141 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {6, 6, 14})
Quotient :: loop
Aut^+ = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 1
Presentation :: [ (X2^-1 * X1 * X2^-1)^2, (X2^2 * X1^-1)^2, X2^6, X1^6, (X2 * X1^-2)^2, X1^-1 * X2^-2 * X1 * X2 * X1^-1 * X2^-1 * X1^-1, X2 * X1 * X2 * X1 * X2 * X1^-1 * X2^-1 * X1 ]
Map:: polytopal non-degenerate
	R = (1, 85, 2, 86, 6, 90, 18, 102, 13, 97, 4, 88)(3, 87, 9, 93, 27, 111, 51, 135, 20, 104, 11, 95)(5, 89, 15, 99, 36, 120, 57, 141, 43, 127, 16, 100)(7, 91, 21, 105, 53, 137, 74, 158, 47, 131, 23, 107)(8, 92, 24, 108, 12, 96, 34, 118, 62, 146, 25, 109)(10, 94, 30, 114, 59, 143, 44, 128, 64, 148, 26, 110)(14, 98, 38, 122, 46, 130, 31, 115, 68, 152, 39, 123)(17, 101, 35, 119, 71, 155, 33, 117, 70, 154, 45, 129)(19, 103, 48, 132, 75, 159, 72, 156, 37, 121, 50, 134)(22, 106, 56, 140, 41, 125, 63, 147, 78, 162, 52, 136)(28, 112, 49, 133, 76, 160, 60, 144, 77, 161, 65, 149)(29, 113, 66, 150, 32, 116, 69, 153, 42, 126, 54, 138)(40, 124, 55, 139, 79, 163, 58, 142, 81, 165, 61, 145)(67, 151, 80, 164, 84, 168, 83, 167, 73, 157, 82, 166)
	L = (1, 87)(2, 91)(3, 94)(4, 96)(5, 85)(6, 103)(7, 106)(8, 86)(9, 112)(10, 115)(11, 116)(12, 119)(13, 120)(14, 88)(15, 125)(16, 126)(17, 89)(18, 130)(19, 133)(20, 90)(21, 138)(22, 141)(23, 142)(24, 144)(25, 145)(26, 92)(27, 140)(28, 131)(29, 93)(30, 151)(31, 101)(32, 99)(33, 95)(34, 136)(35, 132)(36, 139)(37, 97)(38, 143)(39, 149)(40, 98)(41, 134)(42, 152)(43, 155)(44, 100)(45, 146)(46, 113)(47, 102)(48, 124)(49, 118)(50, 117)(51, 129)(52, 104)(53, 160)(54, 121)(55, 105)(56, 164)(57, 110)(58, 108)(59, 107)(60, 122)(61, 127)(62, 114)(63, 109)(64, 111)(65, 159)(66, 167)(67, 161)(68, 163)(69, 158)(70, 123)(71, 166)(72, 162)(73, 128)(74, 148)(75, 150)(76, 168)(77, 135)(78, 137)(79, 157)(80, 153)(81, 156)(82, 147)(83, 154)(84, 165)
	local type(s) :: { ( 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 14 e = 84 f = 20
	degree seq :: [ 12^14 ]

E26.1142 :: Family: { 2*ex } :: Oriented family(ies): { E3c }
Signature :: (0; {6, 6, 14})
Quotient :: loop
Aut^+ = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
Aut   = (C2 x ((C7 : C3) : C2)) : C2 (small group id <168, 9>)
|r| :: 2
Presentation :: [ F^2, F * T1 * F * T2, T2^6, T1^6, (T1^-1 * T2 * T1^-1)^2, (T2^2 * T1^-1)^2, T2^-2 * T1^-1 * T2^-1 * T1^3 * T2^-1, T2 * T1 * T2^-1 * T1^-1 * T2^-1 * 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, 35, 48, 40, 14)(6, 19, 49, 34, 52, 20)(9, 28, 47, 18, 46, 29)(11, 32, 15, 41, 50, 33)(13, 36, 55, 21, 54, 37)(16, 42, 68, 79, 73, 44)(23, 58, 24, 60, 38, 59)(25, 61, 43, 71, 82, 63)(27, 56, 80, 69, 74, 64)(30, 67, 77, 51, 45, 62)(39, 65, 75, 66, 83, 70)(53, 76, 84, 81, 72, 78)(85, 86, 90, 102, 97, 88)(87, 93, 111, 135, 104, 95)(89, 99, 120, 141, 127, 100)(91, 105, 137, 158, 131, 107)(92, 108, 96, 118, 146, 109)(94, 114, 143, 128, 148, 110)(98, 122, 130, 115, 152, 123)(101, 119, 155, 117, 154, 129)(103, 132, 159, 156, 121, 134)(106, 140, 125, 147, 162, 136)(112, 133, 160, 144, 161, 149)(113, 150, 116, 153, 126, 138)(124, 139, 163, 142, 165, 145)(151, 164, 168, 167, 157, 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) :: { ( 28^6 ) }
Outer automorphisms :: reflexible
Dual of E26.1144
Transitivity :: ET+ VT AT
Graph:: simple bipartite
	v = 28 e = 84 f = 6
	degree seq :: [ 6^28 ]

E26.1143 :: Family: { 2*ex } :: Oriented family(ies): { E3c }
Signature :: (0; {6, 6, 14})
Quotient :: loop
Aut^+ = C2 x C2 x (C7 : C3) (small group id <84, 9>)
Aut   = (C2 x C2 x (C7 : C3)) : C2 (small group id <168, 11>)
|r| :: 2
Presentation :: [ F^2, F * T1 * F * T2, T1^6, T2^6, T2 * T1^-3 * T2^-1 * T1^-3, T2 * T1 * T2 * T1^-1 * T2^-1 * T1^2 * T2, T2 * T1 * T2^-2 * T1^-2 * T2^-1 * T1^-1, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1^-1, T1^-1 * T2^-1 * T1^-2 * T2 * T1^-1 * T2^2, T2^-1 * T1^-1 * T2^-1 * T1^-2 * T2^-2 * T1^-1, T2 * T1^-1 * T2^-1 * T1^-1 * T2^2 * T1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 31, 17, 5)(2, 7, 22, 64, 26, 8)(4, 12, 37, 78, 43, 14)(6, 19, 55, 82, 59, 20)(9, 28, 57, 50, 60, 29)(11, 33, 54, 51, 73, 35)(13, 39, 79, 83, 77, 40)(15, 45, 56, 30, 67, 46)(16, 47, 69, 32, 58, 49)(18, 52, 80, 84, 81, 53)(21, 61, 48, 75, 38, 62)(23, 66, 34, 76, 41, 68)(24, 70, 27, 63, 36, 71)(25, 72, 42, 65, 44, 74)(85, 86, 90, 102, 97, 88)(87, 93, 111, 136, 118, 95)(89, 99, 128, 137, 132, 100)(91, 105, 144, 123, 151, 107)(92, 108, 153, 124, 157, 109)(94, 114, 156, 164, 146, 116)(96, 120, 140, 103, 138, 122)(98, 125, 142, 104, 141, 126)(101, 134, 155, 165, 152, 135)(106, 147, 133, 163, 117, 149)(110, 159, 112, 161, 129, 160)(113, 158, 121, 150, 131, 139)(115, 148, 166, 168, 167, 162)(119, 145, 127, 154, 130, 143)
	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) :: { ( 28^6 ) }
Outer automorphisms :: reflexible
Dual of E26.1145
Transitivity :: ET+ VT AT
Graph:: simple bipartite
	v = 28 e = 84 f = 6
	degree seq :: [ 6^28 ]

E26.1144 :: Family: { 2ex } :: Oriented family(ies): { E3*c }
Signature :: (0; {6, 6, 14})
Quotient :: edge
Aut^+ = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
Aut   = (C2 x ((C7 : C3) : C2)) : C2 (small group id <168, 9>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, F * T1 * T2 * F * T1^-1, T2^-1 * T1 * T2^3 * T1^-1, T1^6, T2^-1 * F * T1 * T2^-2 * F * T1^-1, T2 * T1 * T2 * T1 * T2^2 * T1^-2, T1^-1 * T2^-1 * T1^3 * T2^-1 * T1^-2, T1^2 * T2^-1 * T1^-1 * T2^2 * T1^-1 * T2 ]
Map:: polytopal non-degenerate
	R = (1, 85, 3, 87, 10, 94, 30, 114, 61, 145, 23, 107, 59, 143, 82, 166, 65, 149, 25, 109, 58, 142, 39, 123, 17, 101, 5, 89)(2, 86, 7, 91, 22, 106, 9, 93, 28, 112, 51, 135, 29, 113, 67, 151, 46, 130, 53, 137, 43, 127, 15, 99, 26, 110, 8, 92)(4, 88, 12, 96, 35, 119, 64, 148, 34, 118, 11, 95, 32, 116, 69, 153, 45, 129, 16, 100, 31, 115, 60, 144, 41, 125, 14, 98)(6, 90, 19, 103, 50, 134, 21, 105, 56, 140, 42, 126, 57, 141, 81, 165, 66, 150, 27, 111, 63, 147, 24, 108, 54, 138, 20, 104)(13, 97, 37, 121, 70, 154, 44, 128, 74, 158, 36, 120, 73, 157, 83, 167, 68, 152, 40, 124, 72, 156, 33, 117, 71, 155, 38, 122)(18, 102, 47, 131, 75, 159, 49, 133, 77, 161, 62, 146, 78, 162, 84, 168, 80, 164, 55, 139, 79, 163, 52, 136, 76, 160, 48, 132)
	L = (1, 86)(2, 90)(3, 93)(4, 85)(5, 99)(6, 102)(7, 105)(8, 108)(9, 111)(10, 113)(11, 87)(12, 114)(13, 88)(14, 123)(15, 126)(16, 89)(17, 130)(18, 97)(19, 133)(20, 136)(21, 139)(22, 141)(23, 91)(24, 146)(25, 92)(26, 150)(27, 132)(28, 138)(29, 140)(30, 137)(31, 94)(32, 145)(33, 95)(34, 101)(35, 143)(36, 96)(37, 148)(38, 144)(39, 135)(40, 98)(41, 149)(42, 131)(43, 134)(44, 100)(45, 142)(46, 147)(47, 128)(48, 117)(49, 124)(50, 162)(51, 103)(52, 120)(53, 104)(54, 164)(55, 122)(56, 160)(57, 161)(58, 106)(59, 112)(60, 107)(61, 110)(62, 121)(63, 159)(64, 109)(65, 127)(66, 163)(67, 165)(68, 115)(69, 166)(70, 116)(71, 129)(72, 119)(73, 118)(74, 125)(75, 157)(76, 152)(77, 155)(78, 158)(79, 154)(80, 156)(81, 168)(82, 151)(83, 153)(84, 167)
	local type(s) :: { ( 6^28 ) }
Outer automorphisms :: reflexible
Dual of E26.1142
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 6 e = 84 f = 28
	degree seq :: [ 28^6 ]

E26.1145 :: Family: { 2ex } :: Oriented family(ies): { E3*c }
Signature :: (0; {6, 6, 14})
Quotient :: edge
Aut^+ = C2 x C2 x (C7 : C3) (small group id <84, 9>)
Aut   = (C2 x C2 x (C7 : C3)) : C2 (small group id <168, 11>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, F * T1 * T2 * F * T1^-1, T1^6, T2^-2 * T1^-1 * T2^-1 * T1 * T2^-1, T1^-1 * T2^-1 * T1 * T2^-3, T1^6, T2 * F * T1 * T2^-2 * F * T1^-1, T1^-2 * T2^-1 * F * T1 * T2^-1 * T1 * F, T2^-2 * T1^-1 * T2 * T1^2 * T2^-1 * T1^-1, T2 * T1 * T2^-2 * T1 * T2^-1 * T1^-2, T1^-2 * T2^3 * T1^2 * T2, T2 * T1^-3 * T2^-1 * T1^-3, (T2 * T1 * F * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 85, 3, 87, 10, 94, 30, 114, 58, 142, 25, 109, 64, 148, 82, 166, 61, 145, 23, 107, 59, 143, 35, 119, 17, 101, 5, 89)(2, 86, 7, 91, 22, 106, 15, 99, 43, 127, 53, 137, 46, 130, 67, 151, 29, 113, 51, 135, 28, 112, 9, 93, 26, 110, 8, 92)(4, 88, 12, 96, 36, 120, 65, 149, 31, 115, 16, 100, 44, 128, 73, 157, 34, 118, 11, 95, 32, 116, 60, 144, 41, 125, 14, 98)(6, 90, 19, 103, 50, 134, 24, 108, 63, 147, 42, 126, 66, 150, 81, 165, 57, 141, 27, 111, 56, 140, 21, 105, 54, 138, 20, 104)(13, 97, 38, 122, 72, 156, 45, 129, 74, 158, 40, 124, 69, 153, 83, 167, 68, 152, 37, 121, 71, 155, 33, 117, 70, 154, 39, 123)(18, 102, 47, 131, 75, 159, 52, 136, 79, 163, 62, 146, 80, 164, 84, 168, 78, 162, 55, 139, 77, 161, 49, 133, 76, 160, 48, 132)
	L = (1, 86)(2, 90)(3, 93)(4, 85)(5, 99)(6, 102)(7, 105)(8, 108)(9, 111)(10, 113)(11, 87)(12, 119)(13, 88)(14, 114)(15, 126)(16, 89)(17, 130)(18, 97)(19, 133)(20, 136)(21, 139)(22, 141)(23, 91)(24, 146)(25, 92)(26, 150)(27, 131)(28, 138)(29, 147)(30, 137)(31, 94)(32, 101)(33, 95)(34, 142)(35, 135)(36, 145)(37, 96)(38, 144)(39, 149)(40, 98)(41, 148)(42, 132)(43, 134)(44, 143)(45, 100)(46, 140)(47, 117)(48, 129)(49, 121)(50, 162)(51, 103)(52, 124)(53, 104)(54, 164)(55, 122)(56, 160)(57, 163)(58, 106)(59, 110)(60, 107)(61, 127)(62, 123)(63, 159)(64, 112)(65, 109)(66, 161)(67, 165)(68, 115)(69, 116)(70, 128)(71, 125)(72, 118)(73, 166)(74, 120)(75, 152)(76, 153)(77, 154)(78, 158)(79, 156)(80, 155)(81, 168)(82, 151)(83, 157)(84, 167)
	local type(s) :: { ( 6^28 ) }
Outer automorphisms :: reflexible
Dual of E26.1143
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 6 e = 84 f = 28
	degree seq :: [ 28^6 ]

E26.1146 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {6, 6, 14})
Quotient :: edge^2
Aut^+ = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
Aut   = (C2 x ((C7 : C3) : C2)) : C2 (small group id <168, 9>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2^-1 * Y3^-3 * Y1^-1, Y1 * Y3^3 * Y2, Y1^-1 * Y2^-1 * Y3^-3, Y1^-2 * Y2^-2 * Y3^2, Y1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3 * Y2, Y2^-1 * Y3 * Y2 * Y1 * Y3^-1 * Y1^-1, Y2^2 * Y1^2 * Y3^-2, (Y2 * Y1^-1 * Y2)^2, (Y2^2 * Y1^-1)^2, Y3^2 * Y1^-2 * Y2^-2, (Y1^-1 * Y2 * Y1^-1)^2, Y2^6, Y2 * Y3^-1 * Y1 * Y2^-1 * Y3 * Y1^-1, Y1^6 ]
Map:: polytopal non-degenerate
	R = (1, 85, 4, 88, 17, 101, 23, 107, 36, 120, 37, 121, 69, 153, 84, 168, 44, 128, 45, 129, 49, 133, 12, 96, 31, 115, 7, 91)(2, 86, 9, 93, 27, 111, 6, 90, 25, 109, 47, 131, 19, 103, 65, 149, 48, 132, 62, 146, 75, 159, 28, 112, 46, 130, 11, 95)(3, 87, 5, 89, 21, 105, 55, 139, 61, 145, 16, 100, 18, 102, 63, 147, 76, 160, 29, 113, 30, 114, 50, 134, 58, 142, 15, 99)(8, 92, 33, 117, 42, 126, 10, 94, 40, 124, 74, 158, 38, 122, 66, 150, 73, 157, 24, 108, 72, 156, 43, 127, 26, 110, 35, 119)(13, 97, 14, 98, 54, 138, 64, 148, 68, 152, 20, 104, 22, 106, 71, 155, 77, 161, 56, 140, 57, 141, 59, 143, 60, 144, 52, 136)(32, 116, 78, 162, 53, 137, 34, 118, 80, 164, 83, 167, 79, 163, 81, 165, 67, 151, 39, 123, 82, 166, 51, 135, 41, 125, 70, 154)(169, 170, 176, 200, 190, 173)(171, 180, 215, 201, 202, 182)(172, 174, 192, 238, 232, 186)(175, 196, 242, 246, 224, 198)(177, 178, 207, 188, 226, 205)(179, 211, 251, 239, 229, 213)(181, 218, 185, 187, 208, 209)(183, 212, 243, 210, 247, 225)(184, 199, 216, 240, 221, 228)(189, 191, 230, 203, 219, 227)(193, 194, 235, 222, 223, 237)(195, 206, 248, 236, 197, 217)(204, 214, 241, 250, 245, 231)(220, 244, 252, 233, 234, 249)(253, 255, 265, 303, 278, 258)(254, 259, 281, 316, 293, 262)(256, 268, 311, 334, 318, 271)(257, 272, 319, 295, 298, 275)(260, 263, 296, 310, 320, 286)(261, 288, 270, 306, 333, 290)(264, 267, 308, 284, 287, 300)(266, 305, 276, 279, 297, 307)(269, 282, 329, 291, 294, 314)(273, 309, 335, 324, 317, 321)(274, 322, 325, 280, 283, 313)(277, 289, 302, 304, 331, 285)(292, 299, 301, 328, 312, 330)(315, 323, 332, 326, 327, 336)
	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 ), ( 4^28 ) }
Outer automorphisms :: reflexible
Dual of E26.1152
Graph:: simple bipartite
	v = 34 e = 168 f = 84
	degree seq :: [ 6^28, 28^6 ]

E26.1147 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {6, 6, 14})
Quotient :: edge^2
Aut^+ = C2 x C2 x (C7 : C3) (small group id <84, 9>)
Aut   = (C2 x C2 x (C7 : C3)) : C2 (small group id <168, 11>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y1 * Y3^-3 * Y2, Y2^6, Y3 * Y1^-1 * Y2 * Y1 * Y3 * Y2^-1, Y2 * Y1^-1 * Y2^-1 * Y1 * Y3^2, Y1^6, Y1 * Y3 * Y2^2 * Y3^-1 * Y1, Y1^-3 * Y3 * Y1^-2 * Y2, Y1 * Y2^-2 * Y1^2 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 85, 4, 88, 17, 101, 12, 96, 45, 129, 46, 130, 56, 140, 84, 168, 36, 120, 38, 122, 74, 158, 23, 107, 31, 115, 7, 91)(2, 86, 9, 93, 37, 121, 28, 112, 80, 164, 47, 131, 73, 157, 67, 151, 19, 103, 66, 150, 27, 111, 6, 90, 25, 109, 11, 95)(3, 87, 5, 89, 21, 105, 48, 132, 63, 147, 29, 113, 30, 114, 83, 167, 62, 146, 16, 100, 18, 102, 55, 139, 59, 143, 15, 99)(8, 92, 33, 117, 81, 165, 44, 128, 65, 149, 79, 163, 26, 110, 78, 162, 39, 123, 24, 108, 43, 127, 10, 94, 41, 125, 35, 119)(13, 97, 14, 98, 53, 137, 82, 166, 71, 155, 57, 141, 58, 142, 64, 148, 70, 154, 20, 104, 22, 106, 60, 144, 61, 145, 51, 135)(32, 116, 75, 159, 52, 136, 54, 138, 68, 152, 69, 153, 42, 126, 49, 133, 50, 134, 40, 124, 77, 161, 34, 118, 76, 160, 72, 156)(169, 170, 176, 200, 190, 173)(171, 180, 215, 203, 222, 182)(172, 174, 192, 243, 232, 186)(175, 196, 247, 240, 219, 198)(177, 178, 208, 228, 227, 206)(179, 212, 237, 188, 231, 214)(181, 216, 204, 248, 249, 218)(183, 224, 195, 209, 210, 226)(184, 213, 205, 207, 236, 229)(185, 187, 233, 220, 239, 197)(189, 191, 234, 201, 202, 225)(193, 194, 245, 238, 251, 242)(199, 241, 211, 244, 221, 223)(217, 250, 230, 252, 235, 246)(253, 255, 265, 301, 278, 258)(254, 259, 281, 334, 294, 262)(256, 268, 312, 302, 285, 271)(257, 272, 320, 330, 325, 275)(260, 263, 297, 314, 305, 286)(261, 288, 273, 323, 327, 291)(264, 267, 309, 329, 331, 289)(266, 304, 296, 277, 290, 307)(269, 315, 322, 292, 295, 299)(270, 310, 321, 333, 280, 283)(274, 324, 317, 319, 308, 311)(276, 279, 298, 300, 303, 328)(282, 313, 306, 293, 318, 326)(284, 287, 332, 336, 335, 316)
	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 ), ( 4^28 ) }
Outer automorphisms :: reflexible
Dual of E26.1153
Graph:: simple bipartite
	v = 34 e = 168 f = 84
	degree seq :: [ 6^28, 28^6 ]

E26.1148 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {6, 6, 14})
Quotient :: edge^2
Aut^+ = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
Aut   = (C2 x ((C7 : C3) : C2)) : C2 (small group id <168, 9>)
|r| :: 2
Presentation :: [ Y3, R^2, R * Y1 * R * Y2, (R * Y3)^2, Y1^6, (Y2^2 * Y1^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y2^6, Y2^-3 * Y1^-1 * Y2^2 * Y1^-1 * Y2^-1, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1, Y2 * Y1^2 * Y2 * Y1^-1 * Y2^-2 * Y1^-1, Y2^-1 * Y1^3 * Y2^-3 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^14 ]
Map:: polytopal
	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, 170, 174, 186, 181, 172)(171, 177, 195, 219, 188, 179)(173, 183, 204, 225, 211, 184)(175, 189, 221, 242, 215, 191)(176, 192, 180, 202, 230, 193)(178, 198, 227, 212, 232, 194)(182, 206, 214, 199, 236, 207)(185, 203, 239, 201, 238, 213)(187, 216, 243, 240, 205, 218)(190, 224, 209, 231, 246, 220)(196, 217, 244, 228, 245, 233)(197, 234, 200, 237, 210, 222)(208, 223, 247, 226, 249, 229)(235, 248, 252, 251, 241, 250)(253, 255, 262, 283, 269, 257)(254, 259, 274, 309, 278, 260)(256, 264, 287, 300, 292, 266)(258, 271, 301, 286, 304, 272)(261, 280, 299, 270, 298, 281)(263, 284, 267, 293, 302, 285)(265, 288, 307, 273, 306, 289)(268, 294, 320, 331, 325, 296)(275, 310, 276, 312, 290, 311)(277, 313, 295, 323, 334, 315)(279, 308, 332, 321, 326, 316)(282, 319, 329, 303, 297, 314)(291, 317, 327, 318, 335, 322)(305, 328, 336, 333, 324, 330)
	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) :: { ( 56, 56 ), ( 56^6 ) }
Outer automorphisms :: reflexible
Dual of E26.1150
Graph:: simple bipartite
	v = 112 e = 168 f = 6
	degree seq :: [ 2^84, 6^28 ]

E26.1149 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {6, 6, 14})
Quotient :: edge^2
Aut^+ = C2 x C2 x (C7 : C3) (small group id <84, 9>)
Aut   = (C2 x C2 x (C7 : C3)) : C2 (small group id <168, 11>)
|r| :: 2
Presentation :: [ Y3, R^2, R * Y1 * R * Y2, (R * Y3)^2, Y1^6, Y2^6, Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^2 * Y2, Y2 * Y1^-3 * Y2^-1 * Y1^-3, Y2^2 * Y1^-1 * Y2^-1 * Y1^-2 * Y2 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-2 * Y2^-2 * Y1^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^2 * Y1^-2, Y2 * Y1 * Y2^-2 * Y1^-2 * Y2^-1 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^14 ]
Map:: polytopal
	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, 170, 174, 186, 181, 172)(171, 177, 195, 220, 202, 179)(173, 183, 212, 221, 216, 184)(175, 189, 228, 207, 235, 191)(176, 192, 237, 208, 241, 193)(178, 198, 240, 248, 230, 200)(180, 204, 224, 187, 222, 206)(182, 209, 226, 188, 225, 210)(185, 218, 239, 249, 236, 219)(190, 231, 217, 247, 201, 233)(194, 243, 196, 245, 213, 244)(197, 242, 205, 234, 215, 223)(199, 232, 250, 252, 251, 246)(203, 229, 211, 238, 214, 227)(253, 255, 262, 283, 269, 257)(254, 259, 274, 316, 278, 260)(256, 264, 289, 330, 295, 266)(258, 271, 307, 334, 311, 272)(261, 280, 309, 302, 312, 281)(263, 285, 306, 303, 325, 287)(265, 291, 331, 335, 329, 292)(267, 297, 308, 282, 319, 298)(268, 299, 321, 284, 310, 301)(270, 304, 332, 336, 333, 305)(273, 313, 300, 327, 290, 314)(275, 318, 286, 328, 293, 320)(276, 322, 279, 315, 288, 323)(277, 324, 294, 317, 296, 326)
	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) :: { ( 56, 56 ), ( 56^6 ) }
Outer automorphisms :: reflexible
Dual of E26.1151
Graph:: simple bipartite
	v = 112 e = 168 f = 6
	degree seq :: [ 2^84, 6^28 ]

E26.1150 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {6, 6, 14})
Quotient :: loop^2
Aut^+ = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
Aut   = (C2 x ((C7 : C3) : C2)) : C2 (small group id <168, 9>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2^-1 * Y3^-3 * Y1^-1, Y1 * Y3^3 * Y2, Y1^-1 * Y2^-1 * Y3^-3, Y1^-2 * Y2^-2 * Y3^2, Y1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3 * Y2, Y2^-1 * Y3 * Y2 * Y1 * Y3^-1 * Y1^-1, Y2^2 * Y1^2 * Y3^-2, (Y2 * Y1^-1 * Y2)^2, (Y2^2 * Y1^-1)^2, Y3^2 * Y1^-2 * Y2^-2, (Y1^-1 * Y2 * Y1^-1)^2, Y2^6, Y2 * Y3^-1 * Y1 * Y2^-1 * Y3 * Y1^-1, Y1^6 ]
Map::
	R = (1, 85, 169, 253, 4, 88, 172, 256, 17, 101, 185, 269, 23, 107, 191, 275, 36, 120, 204, 288, 37, 121, 205, 289, 69, 153, 237, 321, 84, 168, 252, 336, 44, 128, 212, 296, 45, 129, 213, 297, 49, 133, 217, 301, 12, 96, 180, 264, 31, 115, 199, 283, 7, 91, 175, 259)(2, 86, 170, 254, 9, 93, 177, 261, 27, 111, 195, 279, 6, 90, 174, 258, 25, 109, 193, 277, 47, 131, 215, 299, 19, 103, 187, 271, 65, 149, 233, 317, 48, 132, 216, 300, 62, 146, 230, 314, 75, 159, 243, 327, 28, 112, 196, 280, 46, 130, 214, 298, 11, 95, 179, 263)(3, 87, 171, 255, 5, 89, 173, 257, 21, 105, 189, 273, 55, 139, 223, 307, 61, 145, 229, 313, 16, 100, 184, 268, 18, 102, 186, 270, 63, 147, 231, 315, 76, 160, 244, 328, 29, 113, 197, 281, 30, 114, 198, 282, 50, 134, 218, 302, 58, 142, 226, 310, 15, 99, 183, 267)(8, 92, 176, 260, 33, 117, 201, 285, 42, 126, 210, 294, 10, 94, 178, 262, 40, 124, 208, 292, 74, 158, 242, 326, 38, 122, 206, 290, 66, 150, 234, 318, 73, 157, 241, 325, 24, 108, 192, 276, 72, 156, 240, 324, 43, 127, 211, 295, 26, 110, 194, 278, 35, 119, 203, 287)(13, 97, 181, 265, 14, 98, 182, 266, 54, 138, 222, 306, 64, 148, 232, 316, 68, 152, 236, 320, 20, 104, 188, 272, 22, 106, 190, 274, 71, 155, 239, 323, 77, 161, 245, 329, 56, 140, 224, 308, 57, 141, 225, 309, 59, 143, 227, 311, 60, 144, 228, 312, 52, 136, 220, 304)(32, 116, 200, 284, 78, 162, 246, 330, 53, 137, 221, 305, 34, 118, 202, 286, 80, 164, 248, 332, 83, 167, 251, 335, 79, 163, 247, 331, 81, 165, 249, 333, 67, 151, 235, 319, 39, 123, 207, 291, 82, 166, 250, 334, 51, 135, 219, 303, 41, 125, 209, 293, 70, 154, 238, 322)
	L = (1, 86)(2, 92)(3, 96)(4, 90)(5, 85)(6, 108)(7, 112)(8, 116)(9, 94)(10, 123)(11, 127)(12, 131)(13, 134)(14, 87)(15, 128)(16, 115)(17, 103)(18, 88)(19, 124)(20, 142)(21, 107)(22, 89)(23, 146)(24, 154)(25, 110)(26, 151)(27, 122)(28, 158)(29, 133)(30, 91)(31, 132)(32, 106)(33, 118)(34, 98)(35, 135)(36, 130)(37, 93)(38, 164)(39, 104)(40, 125)(41, 97)(42, 163)(43, 167)(44, 159)(45, 95)(46, 157)(47, 117)(48, 156)(49, 111)(50, 101)(51, 143)(52, 160)(53, 144)(54, 139)(55, 153)(56, 114)(57, 99)(58, 121)(59, 105)(60, 100)(61, 129)(62, 119)(63, 120)(64, 102)(65, 150)(66, 165)(67, 138)(68, 113)(69, 109)(70, 148)(71, 145)(72, 137)(73, 166)(74, 162)(75, 126)(76, 168)(77, 147)(78, 140)(79, 141)(80, 152)(81, 136)(82, 161)(83, 155)(84, 149)(169, 255)(170, 259)(171, 265)(172, 268)(173, 272)(174, 253)(175, 281)(176, 263)(177, 288)(178, 254)(179, 296)(180, 267)(181, 303)(182, 305)(183, 308)(184, 311)(185, 282)(186, 306)(187, 256)(188, 319)(189, 309)(190, 322)(191, 257)(192, 279)(193, 289)(194, 258)(195, 297)(196, 283)(197, 316)(198, 329)(199, 313)(200, 287)(201, 277)(202, 260)(203, 300)(204, 270)(205, 302)(206, 261)(207, 294)(208, 299)(209, 262)(210, 314)(211, 298)(212, 310)(213, 307)(214, 275)(215, 301)(216, 264)(217, 328)(218, 304)(219, 278)(220, 331)(221, 276)(222, 333)(223, 266)(224, 284)(225, 335)(226, 320)(227, 334)(228, 330)(229, 274)(230, 269)(231, 323)(232, 293)(233, 321)(234, 271)(235, 295)(236, 286)(237, 273)(238, 325)(239, 332)(240, 317)(241, 280)(242, 327)(243, 336)(244, 312)(245, 291)(246, 292)(247, 285)(248, 326)(249, 290)(250, 318)(251, 324)(252, 315)
	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 E26.1148
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 168 f = 112
	degree seq :: [ 56^6 ]

E26.1151 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {6, 6, 14})
Quotient :: loop^2
Aut^+ = C2 x C2 x (C7 : C3) (small group id <84, 9>)
Aut   = (C2 x C2 x (C7 : C3)) : C2 (small group id <168, 11>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y1 * Y3^-3 * Y2, Y2^6, Y3 * Y1^-1 * Y2 * Y1 * Y3 * Y2^-1, Y2 * Y1^-1 * Y2^-1 * Y1 * Y3^2, Y1^6, Y1 * Y3 * Y2^2 * Y3^-1 * Y1, Y1^-3 * Y3 * Y1^-2 * Y2, Y1 * Y2^-2 * Y1^2 * Y3 * Y2^-1 ]
Map::
	R = (1, 85, 169, 253, 4, 88, 172, 256, 17, 101, 185, 269, 12, 96, 180, 264, 45, 129, 213, 297, 46, 130, 214, 298, 56, 140, 224, 308, 84, 168, 252, 336, 36, 120, 204, 288, 38, 122, 206, 290, 74, 158, 242, 326, 23, 107, 191, 275, 31, 115, 199, 283, 7, 91, 175, 259)(2, 86, 170, 254, 9, 93, 177, 261, 37, 121, 205, 289, 28, 112, 196, 280, 80, 164, 248, 332, 47, 131, 215, 299, 73, 157, 241, 325, 67, 151, 235, 319, 19, 103, 187, 271, 66, 150, 234, 318, 27, 111, 195, 279, 6, 90, 174, 258, 25, 109, 193, 277, 11, 95, 179, 263)(3, 87, 171, 255, 5, 89, 173, 257, 21, 105, 189, 273, 48, 132, 216, 300, 63, 147, 231, 315, 29, 113, 197, 281, 30, 114, 198, 282, 83, 167, 251, 335, 62, 146, 230, 314, 16, 100, 184, 268, 18, 102, 186, 270, 55, 139, 223, 307, 59, 143, 227, 311, 15, 99, 183, 267)(8, 92, 176, 260, 33, 117, 201, 285, 81, 165, 249, 333, 44, 128, 212, 296, 65, 149, 233, 317, 79, 163, 247, 331, 26, 110, 194, 278, 78, 162, 246, 330, 39, 123, 207, 291, 24, 108, 192, 276, 43, 127, 211, 295, 10, 94, 178, 262, 41, 125, 209, 293, 35, 119, 203, 287)(13, 97, 181, 265, 14, 98, 182, 266, 53, 137, 221, 305, 82, 166, 250, 334, 71, 155, 239, 323, 57, 141, 225, 309, 58, 142, 226, 310, 64, 148, 232, 316, 70, 154, 238, 322, 20, 104, 188, 272, 22, 106, 190, 274, 60, 144, 228, 312, 61, 145, 229, 313, 51, 135, 219, 303)(32, 116, 200, 284, 75, 159, 243, 327, 52, 136, 220, 304, 54, 138, 222, 306, 68, 152, 236, 320, 69, 153, 237, 321, 42, 126, 210, 294, 49, 133, 217, 301, 50, 134, 218, 302, 40, 124, 208, 292, 77, 161, 245, 329, 34, 118, 202, 286, 76, 160, 244, 328, 72, 156, 240, 324)
	L = (1, 86)(2, 92)(3, 96)(4, 90)(5, 85)(6, 108)(7, 112)(8, 116)(9, 94)(10, 124)(11, 128)(12, 131)(13, 132)(14, 87)(15, 140)(16, 129)(17, 103)(18, 88)(19, 149)(20, 147)(21, 107)(22, 89)(23, 150)(24, 159)(25, 110)(26, 161)(27, 125)(28, 163)(29, 101)(30, 91)(31, 157)(32, 106)(33, 118)(34, 141)(35, 138)(36, 164)(37, 123)(38, 93)(39, 152)(40, 144)(41, 126)(42, 142)(43, 160)(44, 153)(45, 121)(46, 95)(47, 119)(48, 120)(49, 166)(50, 97)(51, 114)(52, 155)(53, 139)(54, 98)(55, 115)(56, 111)(57, 105)(58, 99)(59, 122)(60, 143)(61, 100)(62, 168)(63, 130)(64, 102)(65, 136)(66, 117)(67, 162)(68, 145)(69, 104)(70, 167)(71, 113)(72, 135)(73, 127)(74, 109)(75, 148)(76, 137)(77, 154)(78, 133)(79, 156)(80, 165)(81, 134)(82, 146)(83, 158)(84, 151)(169, 255)(170, 259)(171, 265)(172, 268)(173, 272)(174, 253)(175, 281)(176, 263)(177, 288)(178, 254)(179, 297)(180, 267)(181, 301)(182, 304)(183, 309)(184, 312)(185, 315)(186, 310)(187, 256)(188, 320)(189, 323)(190, 324)(191, 257)(192, 279)(193, 290)(194, 258)(195, 298)(196, 283)(197, 334)(198, 313)(199, 270)(200, 287)(201, 271)(202, 260)(203, 332)(204, 273)(205, 264)(206, 307)(207, 261)(208, 295)(209, 318)(210, 262)(211, 299)(212, 277)(213, 314)(214, 300)(215, 269)(216, 303)(217, 278)(218, 285)(219, 328)(220, 296)(221, 286)(222, 293)(223, 266)(224, 311)(225, 329)(226, 321)(227, 274)(228, 302)(229, 306)(230, 305)(231, 322)(232, 284)(233, 319)(234, 326)(235, 308)(236, 330)(237, 333)(238, 292)(239, 327)(240, 317)(241, 275)(242, 282)(243, 291)(244, 276)(245, 331)(246, 325)(247, 289)(248, 336)(249, 280)(250, 294)(251, 316)(252, 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 ) }
Outer automorphisms :: reflexible
Dual of E26.1149
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 168 f = 112
	degree seq :: [ 56^6 ]

E26.1152 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {6, 6, 14})
Quotient :: loop^2
Aut^+ = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
Aut   = (C2 x ((C7 : C3) : C2)) : C2 (small group id <168, 9>)
|r| :: 2
Presentation :: [ Y3, R^2, R * Y1 * R * Y2, (R * Y3)^2, Y1^6, (Y2^2 * Y1^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y2^6, Y2^-3 * Y1^-1 * Y2^2 * Y1^-1 * Y2^-1, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1, Y2 * Y1^2 * Y2 * Y1^-1 * Y2^-2 * Y1^-1, Y2^-1 * Y1^3 * Y2^-3 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^14 ]
Map:: polytopal non-degenerate
	R = (1, 85, 169, 253)(2, 86, 170, 254)(3, 87, 171, 255)(4, 88, 172, 256)(5, 89, 173, 257)(6, 90, 174, 258)(7, 91, 175, 259)(8, 92, 176, 260)(9, 93, 177, 261)(10, 94, 178, 262)(11, 95, 179, 263)(12, 96, 180, 264)(13, 97, 181, 265)(14, 98, 182, 266)(15, 99, 183, 267)(16, 100, 184, 268)(17, 101, 185, 269)(18, 102, 186, 270)(19, 103, 187, 271)(20, 104, 188, 272)(21, 105, 189, 273)(22, 106, 190, 274)(23, 107, 191, 275)(24, 108, 192, 276)(25, 109, 193, 277)(26, 110, 194, 278)(27, 111, 195, 279)(28, 112, 196, 280)(29, 113, 197, 281)(30, 114, 198, 282)(31, 115, 199, 283)(32, 116, 200, 284)(33, 117, 201, 285)(34, 118, 202, 286)(35, 119, 203, 287)(36, 120, 204, 288)(37, 121, 205, 289)(38, 122, 206, 290)(39, 123, 207, 291)(40, 124, 208, 292)(41, 125, 209, 293)(42, 126, 210, 294)(43, 127, 211, 295)(44, 128, 212, 296)(45, 129, 213, 297)(46, 130, 214, 298)(47, 131, 215, 299)(48, 132, 216, 300)(49, 133, 217, 301)(50, 134, 218, 302)(51, 135, 219, 303)(52, 136, 220, 304)(53, 137, 221, 305)(54, 138, 222, 306)(55, 139, 223, 307)(56, 140, 224, 308)(57, 141, 225, 309)(58, 142, 226, 310)(59, 143, 227, 311)(60, 144, 228, 312)(61, 145, 229, 313)(62, 146, 230, 314)(63, 147, 231, 315)(64, 148, 232, 316)(65, 149, 233, 317)(66, 150, 234, 318)(67, 151, 235, 319)(68, 152, 236, 320)(69, 153, 237, 321)(70, 154, 238, 322)(71, 155, 239, 323)(72, 156, 240, 324)(73, 157, 241, 325)(74, 158, 242, 326)(75, 159, 243, 327)(76, 160, 244, 328)(77, 161, 245, 329)(78, 162, 246, 330)(79, 163, 247, 331)(80, 164, 248, 332)(81, 165, 249, 333)(82, 166, 250, 334)(83, 167, 251, 335)(84, 168, 252, 336)
	L = (1, 86)(2, 90)(3, 93)(4, 85)(5, 99)(6, 102)(7, 105)(8, 108)(9, 111)(10, 114)(11, 87)(12, 118)(13, 88)(14, 122)(15, 120)(16, 89)(17, 119)(18, 97)(19, 132)(20, 95)(21, 137)(22, 140)(23, 91)(24, 96)(25, 92)(26, 94)(27, 135)(28, 133)(29, 150)(30, 143)(31, 152)(32, 153)(33, 154)(34, 146)(35, 155)(36, 141)(37, 134)(38, 130)(39, 98)(40, 139)(41, 147)(42, 138)(43, 100)(44, 148)(45, 101)(46, 115)(47, 107)(48, 159)(49, 160)(50, 103)(51, 104)(52, 106)(53, 158)(54, 113)(55, 163)(56, 125)(57, 127)(58, 165)(59, 128)(60, 161)(61, 124)(62, 109)(63, 162)(64, 110)(65, 112)(66, 116)(67, 164)(68, 123)(69, 126)(70, 129)(71, 117)(72, 121)(73, 166)(74, 131)(75, 156)(76, 144)(77, 149)(78, 136)(79, 142)(80, 168)(81, 145)(82, 151)(83, 157)(84, 167)(169, 255)(170, 259)(171, 262)(172, 264)(173, 253)(174, 271)(175, 274)(176, 254)(177, 280)(178, 283)(179, 284)(180, 287)(181, 288)(182, 256)(183, 293)(184, 294)(185, 257)(186, 298)(187, 301)(188, 258)(189, 306)(190, 309)(191, 310)(192, 312)(193, 313)(194, 260)(195, 308)(196, 299)(197, 261)(198, 319)(199, 269)(200, 267)(201, 263)(202, 304)(203, 300)(204, 307)(205, 265)(206, 311)(207, 317)(208, 266)(209, 302)(210, 320)(211, 323)(212, 268)(213, 314)(214, 281)(215, 270)(216, 292)(217, 286)(218, 285)(219, 297)(220, 272)(221, 328)(222, 289)(223, 273)(224, 332)(225, 278)(226, 276)(227, 275)(228, 290)(229, 295)(230, 282)(231, 277)(232, 279)(233, 327)(234, 335)(235, 329)(236, 331)(237, 326)(238, 291)(239, 334)(240, 330)(241, 296)(242, 316)(243, 318)(244, 336)(245, 303)(246, 305)(247, 325)(248, 321)(249, 324)(250, 315)(251, 322)(252, 333)
	local type(s) :: { ( 6, 28, 6, 28 ) }
Outer automorphisms :: reflexible
Dual of E26.1146
Transitivity :: VT+
Graph:: simple bipartite
	v = 84 e = 168 f = 34
	degree seq :: [ 4^84 ]

E26.1153 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {6, 6, 14})
Quotient :: loop^2
Aut^+ = C2 x C2 x (C7 : C3) (small group id <84, 9>)
Aut   = (C2 x C2 x (C7 : C3)) : C2 (small group id <168, 11>)
|r| :: 2
Presentation :: [ Y3, R^2, R * Y1 * R * Y2, (R * Y3)^2, Y1^6, Y2^6, Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^2 * Y2, Y2 * Y1^-3 * Y2^-1 * Y1^-3, Y2^2 * Y1^-1 * Y2^-1 * Y1^-2 * Y2 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-2 * Y2^-2 * Y1^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^2 * Y1^-2, Y2 * Y1 * Y2^-2 * Y1^-2 * Y2^-1 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^14 ]
Map:: polytopal non-degenerate
	R = (1, 85, 169, 253)(2, 86, 170, 254)(3, 87, 171, 255)(4, 88, 172, 256)(5, 89, 173, 257)(6, 90, 174, 258)(7, 91, 175, 259)(8, 92, 176, 260)(9, 93, 177, 261)(10, 94, 178, 262)(11, 95, 179, 263)(12, 96, 180, 264)(13, 97, 181, 265)(14, 98, 182, 266)(15, 99, 183, 267)(16, 100, 184, 268)(17, 101, 185, 269)(18, 102, 186, 270)(19, 103, 187, 271)(20, 104, 188, 272)(21, 105, 189, 273)(22, 106, 190, 274)(23, 107, 191, 275)(24, 108, 192, 276)(25, 109, 193, 277)(26, 110, 194, 278)(27, 111, 195, 279)(28, 112, 196, 280)(29, 113, 197, 281)(30, 114, 198, 282)(31, 115, 199, 283)(32, 116, 200, 284)(33, 117, 201, 285)(34, 118, 202, 286)(35, 119, 203, 287)(36, 120, 204, 288)(37, 121, 205, 289)(38, 122, 206, 290)(39, 123, 207, 291)(40, 124, 208, 292)(41, 125, 209, 293)(42, 126, 210, 294)(43, 127, 211, 295)(44, 128, 212, 296)(45, 129, 213, 297)(46, 130, 214, 298)(47, 131, 215, 299)(48, 132, 216, 300)(49, 133, 217, 301)(50, 134, 218, 302)(51, 135, 219, 303)(52, 136, 220, 304)(53, 137, 221, 305)(54, 138, 222, 306)(55, 139, 223, 307)(56, 140, 224, 308)(57, 141, 225, 309)(58, 142, 226, 310)(59, 143, 227, 311)(60, 144, 228, 312)(61, 145, 229, 313)(62, 146, 230, 314)(63, 147, 231, 315)(64, 148, 232, 316)(65, 149, 233, 317)(66, 150, 234, 318)(67, 151, 235, 319)(68, 152, 236, 320)(69, 153, 237, 321)(70, 154, 238, 322)(71, 155, 239, 323)(72, 156, 240, 324)(73, 157, 241, 325)(74, 158, 242, 326)(75, 159, 243, 327)(76, 160, 244, 328)(77, 161, 245, 329)(78, 162, 246, 330)(79, 163, 247, 331)(80, 164, 248, 332)(81, 165, 249, 333)(82, 166, 250, 334)(83, 167, 251, 335)(84, 168, 252, 336)
	L = (1, 86)(2, 90)(3, 93)(4, 85)(5, 99)(6, 102)(7, 105)(8, 108)(9, 111)(10, 114)(11, 87)(12, 120)(13, 88)(14, 125)(15, 128)(16, 89)(17, 134)(18, 97)(19, 138)(20, 141)(21, 144)(22, 147)(23, 91)(24, 153)(25, 92)(26, 159)(27, 136)(28, 161)(29, 158)(30, 156)(31, 148)(32, 94)(33, 149)(34, 95)(35, 145)(36, 140)(37, 150)(38, 96)(39, 151)(40, 157)(41, 142)(42, 98)(43, 154)(44, 137)(45, 160)(46, 143)(47, 139)(48, 100)(49, 163)(50, 155)(51, 101)(52, 118)(53, 132)(54, 122)(55, 113)(56, 103)(57, 126)(58, 104)(59, 119)(60, 123)(61, 127)(62, 116)(63, 133)(64, 166)(65, 106)(66, 131)(67, 107)(68, 135)(69, 124)(70, 130)(71, 165)(72, 164)(73, 109)(74, 121)(75, 112)(76, 110)(77, 129)(78, 115)(79, 117)(80, 146)(81, 152)(82, 168)(83, 162)(84, 167)(169, 255)(170, 259)(171, 262)(172, 264)(173, 253)(174, 271)(175, 274)(176, 254)(177, 280)(178, 283)(179, 285)(180, 289)(181, 291)(182, 256)(183, 297)(184, 299)(185, 257)(186, 304)(187, 307)(188, 258)(189, 313)(190, 316)(191, 318)(192, 322)(193, 324)(194, 260)(195, 315)(196, 309)(197, 261)(198, 319)(199, 269)(200, 310)(201, 306)(202, 328)(203, 263)(204, 323)(205, 330)(206, 314)(207, 331)(208, 265)(209, 320)(210, 317)(211, 266)(212, 326)(213, 308)(214, 267)(215, 321)(216, 327)(217, 268)(218, 312)(219, 325)(220, 332)(221, 270)(222, 303)(223, 334)(224, 282)(225, 302)(226, 301)(227, 272)(228, 281)(229, 300)(230, 273)(231, 288)(232, 278)(233, 296)(234, 286)(235, 298)(236, 275)(237, 284)(238, 279)(239, 276)(240, 294)(241, 287)(242, 277)(243, 290)(244, 293)(245, 292)(246, 295)(247, 335)(248, 336)(249, 305)(250, 311)(251, 329)(252, 333)
	local type(s) :: { ( 6, 28, 6, 28 ) }
Outer automorphisms :: reflexible
Dual of E26.1147
Transitivity :: VT+
Graph:: simple bipartite
	v = 84 e = 168 f = 34
	degree seq :: [ 4^84 ]

E26.1154 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {6, 6, 14})
Quotient :: edge
Aut^+ = C2 x C2 x (C7 : C3) (small group id <84, 9>)
Aut   = C2 x C2 x (C7 : C3) (small group id <84, 9>)
|r| :: 1
Presentation :: [ X2^3 * X1 * X2 * X1^-1, X1^6, X2 * X1^2 * X2^-1 * X1^-1 * X2^2 * X1^-1, X2 * X1^-3 * X2^-1 * X1^-3, X1^-1 * X2 * X1 * X2^2 * X1 * X2^-1 * X1^-1, X2^9 * X1^-1 * X2^-1 * X1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 18, 13, 4)(3, 9, 27, 47, 33, 11)(5, 15, 42, 48, 45, 16)(7, 21, 55, 38, 60, 23)(8, 24, 62, 39, 65, 25)(10, 30, 57, 75, 68, 31)(12, 35, 51, 19, 49, 37)(14, 40, 53, 20, 52, 41)(17, 28, 63, 76, 71, 46)(22, 58, 78, 74, 44, 59)(26, 56, 80, 73, 34, 66)(29, 50, 79, 72, 36, 64)(32, 61, 43, 54, 77, 70)(67, 81, 84, 83, 69, 82)(85, 87, 94, 109, 148, 124, 150, 166, 143, 119, 145, 107, 101, 89)(86, 91, 106, 137, 114, 99, 127, 151, 113, 93, 112, 135, 110, 92)(88, 96, 120, 100, 128, 149, 130, 153, 115, 144, 118, 95, 116, 98)(90, 103, 134, 126, 142, 108, 147, 165, 141, 105, 140, 111, 138, 104)(97, 122, 158, 125, 152, 129, 154, 167, 156, 117, 155, 121, 157, 123)(102, 131, 159, 146, 163, 136, 164, 168, 162, 133, 161, 139, 160, 132)
	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 ), ( 12^14 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 20 e = 84 f = 14
	degree seq :: [ 6^14, 14^6 ]

E26.1155 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {6, 6, 14})
Quotient :: loop
Aut^+ = C2 x C2 x (C7 : C3) (small group id <84, 9>)
Aut   = C2 x C2 x (C7 : C3) (small group id <84, 9>)
|r| :: 1
Presentation :: [ X1^6, X2^6, X1^-1 * X2 * X1^-3 * X2^-1 * X1^-2, X2 * X1^2 * X2 * X1 * X2^-1 * X1^-1 * X2, X2^-1 * X1^-1 * X2^-1 * X1 * X2^-1 * X1^-1 * X2 * X1^-1, X1^-1 * X2^-1 * X1 * X2^2 * X1 * X2^-1 * X1^-1, X2^2 * X1^-1 * X2^-1 * X1^-1 * X2 * X1^-2, X1^-1 * X2^-1 * X1 * X2^-1 * X1 * X2^2 * X1^-1, X2^-1 * X1^-1 * X2 * X1 * X2^2 * X1^2, X2^3 * X1 * X2^3 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 85, 2, 86, 6, 90, 18, 102, 13, 97, 4, 88)(3, 87, 9, 93, 27, 111, 52, 136, 34, 118, 11, 95)(5, 89, 15, 99, 44, 128, 53, 137, 48, 132, 16, 100)(7, 91, 21, 105, 60, 144, 39, 123, 67, 151, 23, 107)(8, 92, 24, 108, 69, 153, 40, 124, 73, 157, 25, 109)(10, 94, 30, 114, 68, 152, 80, 164, 74, 158, 32, 116)(12, 96, 36, 120, 56, 140, 19, 103, 54, 138, 38, 122)(14, 98, 41, 125, 58, 142, 20, 104, 57, 141, 42, 126)(17, 101, 50, 134, 71, 155, 81, 165, 61, 145, 51, 135)(22, 106, 63, 147, 45, 129, 79, 163, 33, 117, 65, 149)(26, 110, 75, 159, 47, 131, 77, 161, 29, 113, 76, 160)(28, 112, 72, 156, 43, 127, 62, 146, 46, 130, 59, 143)(31, 115, 64, 148, 82, 166, 84, 168, 83, 167, 78, 162)(35, 119, 55, 139, 49, 133, 70, 154, 37, 121, 66, 150)
	L = (1, 87)(2, 91)(3, 94)(4, 96)(5, 85)(6, 103)(7, 106)(8, 86)(9, 112)(10, 115)(11, 117)(12, 121)(13, 123)(14, 88)(15, 129)(16, 131)(17, 89)(18, 136)(19, 139)(20, 90)(21, 145)(22, 148)(23, 150)(24, 154)(25, 156)(26, 92)(27, 147)(28, 151)(29, 93)(30, 153)(31, 101)(32, 144)(33, 142)(34, 146)(35, 95)(36, 159)(37, 162)(38, 158)(39, 163)(40, 97)(41, 152)(42, 155)(43, 98)(44, 160)(45, 140)(46, 99)(47, 141)(48, 149)(49, 100)(50, 138)(51, 157)(52, 164)(53, 102)(54, 113)(55, 166)(56, 114)(57, 116)(58, 135)(59, 104)(60, 133)(61, 120)(62, 105)(63, 126)(64, 110)(65, 122)(66, 128)(67, 134)(68, 107)(69, 130)(70, 111)(71, 108)(72, 132)(73, 119)(74, 109)(75, 118)(76, 125)(77, 124)(78, 127)(79, 167)(80, 168)(81, 137)(82, 143)(83, 161)(84, 165)
	local type(s) :: { ( 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 14 e = 84 f = 20
	degree seq :: [ 12^14 ]

E26.1156 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 6, 14})
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, (F * T2)^2, (F * T1)^2, T1^-1 * T2^-1 * T1 * T2^-1, T1^6, T2^14 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 31, 43, 55, 67, 60, 48, 36, 24, 13, 5)(2, 7, 17, 29, 41, 53, 65, 76, 66, 54, 42, 30, 18, 8)(4, 11, 22, 34, 46, 58, 70, 77, 68, 56, 44, 32, 20, 10)(6, 15, 27, 39, 51, 63, 74, 82, 75, 64, 52, 40, 28, 16)(12, 21, 33, 45, 57, 69, 78, 83, 79, 71, 59, 47, 35, 23)(14, 25, 37, 49, 61, 72, 80, 84, 81, 73, 62, 50, 38, 26)(85, 86, 90, 98, 96, 88)(87, 92, 99, 110, 105, 94)(89, 91, 100, 109, 107, 95)(93, 102, 111, 122, 117, 104)(97, 101, 112, 121, 119, 106)(103, 114, 123, 134, 129, 116)(108, 113, 124, 133, 131, 118)(115, 126, 135, 146, 141, 128)(120, 125, 136, 145, 143, 130)(127, 138, 147, 157, 153, 140)(132, 137, 148, 156, 155, 142)(139, 150, 158, 165, 162, 152)(144, 149, 159, 164, 163, 154)(151, 160, 166, 168, 167, 161)
	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 ), ( 12^14 ) }
Outer automorphisms :: reflexible
Dual of E26.1157
Transitivity :: ET+
Graph:: simple bipartite
	v = 20 e = 84 f = 14
	degree seq :: [ 6^14, 14^6 ]

E26.1157 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 6, 14})
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^-2 * T2^4, (T2 * T1)^14 ]
Map:: non-degenerate
	R = (1, 85, 3, 87, 10, 94, 15, 99, 6, 90, 5, 89)(2, 86, 7, 91, 4, 88, 12, 96, 14, 98, 8, 92)(9, 93, 19, 103, 11, 95, 21, 105, 13, 97, 20, 104)(16, 100, 22, 106, 17, 101, 24, 108, 18, 102, 23, 107)(25, 109, 31, 115, 26, 110, 33, 117, 27, 111, 32, 116)(28, 112, 34, 118, 29, 113, 36, 120, 30, 114, 35, 119)(37, 121, 43, 127, 38, 122, 45, 129, 39, 123, 44, 128)(40, 124, 46, 130, 41, 125, 48, 132, 42, 126, 47, 131)(49, 133, 55, 139, 50, 134, 57, 141, 51, 135, 56, 140)(52, 136, 58, 142, 53, 137, 60, 144, 54, 138, 59, 143)(61, 145, 67, 151, 62, 146, 69, 153, 63, 147, 68, 152)(64, 148, 70, 154, 65, 149, 72, 156, 66, 150, 71, 155)(73, 157, 79, 163, 74, 158, 81, 165, 75, 159, 80, 164)(76, 160, 82, 166, 77, 161, 84, 168, 78, 162, 83, 167)
	L = (1, 86)(2, 90)(3, 93)(4, 85)(5, 97)(6, 98)(7, 100)(8, 102)(9, 89)(10, 88)(11, 87)(12, 101)(13, 99)(14, 94)(15, 95)(16, 92)(17, 91)(18, 96)(19, 109)(20, 111)(21, 110)(22, 112)(23, 114)(24, 113)(25, 104)(26, 103)(27, 105)(28, 107)(29, 106)(30, 108)(31, 121)(32, 123)(33, 122)(34, 124)(35, 126)(36, 125)(37, 116)(38, 115)(39, 117)(40, 119)(41, 118)(42, 120)(43, 133)(44, 135)(45, 134)(46, 136)(47, 138)(48, 137)(49, 128)(50, 127)(51, 129)(52, 131)(53, 130)(54, 132)(55, 145)(56, 147)(57, 146)(58, 148)(59, 150)(60, 149)(61, 140)(62, 139)(63, 141)(64, 143)(65, 142)(66, 144)(67, 157)(68, 159)(69, 158)(70, 160)(71, 162)(72, 161)(73, 152)(74, 151)(75, 153)(76, 155)(77, 154)(78, 156)(79, 166)(80, 167)(81, 168)(82, 164)(83, 165)(84, 163)
	local type(s) :: { ( 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14 ) }
Outer automorphisms :: reflexible
Dual of E26.1156
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 14 e = 84 f = 20
	degree seq :: [ 12^14 ]

E26.1158 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 14})
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, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y1^6, (Y3^-1 * Y1^-1)^6, Y2^14 ]
Map::
	R = (1, 85, 2, 86, 6, 90, 14, 98, 12, 96, 4, 88)(3, 87, 8, 92, 15, 99, 26, 110, 21, 105, 10, 94)(5, 89, 7, 91, 16, 100, 25, 109, 23, 107, 11, 95)(9, 93, 18, 102, 27, 111, 38, 122, 33, 117, 20, 104)(13, 97, 17, 101, 28, 112, 37, 121, 35, 119, 22, 106)(19, 103, 30, 114, 39, 123, 50, 134, 45, 129, 32, 116)(24, 108, 29, 113, 40, 124, 49, 133, 47, 131, 34, 118)(31, 115, 42, 126, 51, 135, 62, 146, 57, 141, 44, 128)(36, 120, 41, 125, 52, 136, 61, 145, 59, 143, 46, 130)(43, 127, 54, 138, 63, 147, 73, 157, 69, 153, 56, 140)(48, 132, 53, 137, 64, 148, 72, 156, 71, 155, 58, 142)(55, 139, 66, 150, 74, 158, 81, 165, 78, 162, 68, 152)(60, 144, 65, 149, 75, 159, 80, 164, 79, 163, 70, 154)(67, 151, 76, 160, 82, 166, 84, 168, 83, 167, 77, 161)(169, 253, 171, 255, 177, 261, 187, 271, 199, 283, 211, 295, 223, 307, 235, 319, 228, 312, 216, 300, 204, 288, 192, 276, 181, 265, 173, 257)(170, 254, 175, 259, 185, 269, 197, 281, 209, 293, 221, 305, 233, 317, 244, 328, 234, 318, 222, 306, 210, 294, 198, 282, 186, 270, 176, 260)(172, 256, 179, 263, 190, 274, 202, 286, 214, 298, 226, 310, 238, 322, 245, 329, 236, 320, 224, 308, 212, 296, 200, 284, 188, 272, 178, 262)(174, 258, 183, 267, 195, 279, 207, 291, 219, 303, 231, 315, 242, 326, 250, 334, 243, 327, 232, 316, 220, 304, 208, 292, 196, 280, 184, 268)(180, 264, 189, 273, 201, 285, 213, 297, 225, 309, 237, 321, 246, 330, 251, 335, 247, 331, 239, 323, 227, 311, 215, 299, 203, 287, 191, 275)(182, 266, 193, 277, 205, 289, 217, 301, 229, 313, 240, 324, 248, 332, 252, 336, 249, 333, 241, 325, 230, 314, 218, 302, 206, 290, 194, 278)
	L = (1, 171)(2, 175)(3, 177)(4, 179)(5, 169)(6, 183)(7, 185)(8, 170)(9, 187)(10, 172)(11, 190)(12, 189)(13, 173)(14, 193)(15, 195)(16, 174)(17, 197)(18, 176)(19, 199)(20, 178)(21, 201)(22, 202)(23, 180)(24, 181)(25, 205)(26, 182)(27, 207)(28, 184)(29, 209)(30, 186)(31, 211)(32, 188)(33, 213)(34, 214)(35, 191)(36, 192)(37, 217)(38, 194)(39, 219)(40, 196)(41, 221)(42, 198)(43, 223)(44, 200)(45, 225)(46, 226)(47, 203)(48, 204)(49, 229)(50, 206)(51, 231)(52, 208)(53, 233)(54, 210)(55, 235)(56, 212)(57, 237)(58, 238)(59, 215)(60, 216)(61, 240)(62, 218)(63, 242)(64, 220)(65, 244)(66, 222)(67, 228)(68, 224)(69, 246)(70, 245)(71, 227)(72, 248)(73, 230)(74, 250)(75, 232)(76, 234)(77, 236)(78, 251)(79, 239)(80, 252)(81, 241)(82, 243)(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) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 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 E26.1159
Graph:: bipartite
	v = 20 e = 168 f = 98
	degree seq :: [ 12^14, 28^6 ]

E26.1159 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 14})
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, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2^6, Y3^6 * Y2 * Y3^-8 * Y2^-1, (Y3^-1 * Y1^-1)^14 ]
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, 182, 266, 180, 264, 172, 256)(171, 255, 176, 260, 183, 267, 194, 278, 189, 273, 178, 262)(173, 257, 175, 259, 184, 268, 193, 277, 191, 275, 179, 263)(177, 261, 186, 270, 195, 279, 206, 290, 201, 285, 188, 272)(181, 265, 185, 269, 196, 280, 205, 289, 203, 287, 190, 274)(187, 271, 198, 282, 207, 291, 218, 302, 213, 297, 200, 284)(192, 276, 197, 281, 208, 292, 217, 301, 215, 299, 202, 286)(199, 283, 210, 294, 219, 303, 230, 314, 225, 309, 212, 296)(204, 288, 209, 293, 220, 304, 229, 313, 227, 311, 214, 298)(211, 295, 222, 306, 231, 315, 241, 325, 237, 321, 224, 308)(216, 300, 221, 305, 232, 316, 240, 324, 239, 323, 226, 310)(223, 307, 234, 318, 242, 326, 249, 333, 246, 330, 236, 320)(228, 312, 233, 317, 243, 327, 248, 332, 247, 331, 238, 322)(235, 319, 244, 328, 250, 334, 252, 336, 251, 335, 245, 329)
	L = (1, 171)(2, 175)(3, 177)(4, 179)(5, 169)(6, 183)(7, 185)(8, 170)(9, 187)(10, 172)(11, 190)(12, 189)(13, 173)(14, 193)(15, 195)(16, 174)(17, 197)(18, 176)(19, 199)(20, 178)(21, 201)(22, 202)(23, 180)(24, 181)(25, 205)(26, 182)(27, 207)(28, 184)(29, 209)(30, 186)(31, 211)(32, 188)(33, 213)(34, 214)(35, 191)(36, 192)(37, 217)(38, 194)(39, 219)(40, 196)(41, 221)(42, 198)(43, 223)(44, 200)(45, 225)(46, 226)(47, 203)(48, 204)(49, 229)(50, 206)(51, 231)(52, 208)(53, 233)(54, 210)(55, 235)(56, 212)(57, 237)(58, 238)(59, 215)(60, 216)(61, 240)(62, 218)(63, 242)(64, 220)(65, 244)(66, 222)(67, 228)(68, 224)(69, 246)(70, 245)(71, 227)(72, 248)(73, 230)(74, 250)(75, 232)(76, 234)(77, 236)(78, 251)(79, 239)(80, 252)(81, 241)(82, 243)(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) :: { ( 12, 28 ), ( 12, 28, 12, 28, 12, 28, 12, 28, 12, 28, 12, 28 ) }
Outer automorphisms :: reflexible
Dual of E26.1158
Graph:: simple bipartite
	v = 98 e = 168 f = 20
	degree seq :: [ 2^84, 12^14 ]

E26.1160 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 28, 28})
Quotient :: edge
Aut^+ = C7 x (C3 : C4) (small group id <84, 3>)
Aut   = (C6 x D14) : C2 (small group id <168, 16>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-1 * T1^-1, T2^28 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 27, 33, 39, 45, 51, 57, 63, 69, 75, 81, 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, 83, 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, 84, 82, 76, 70, 64, 58, 52, 46, 40, 34, 28, 22, 16, 10)(85, 86, 88)(87, 92, 90)(89, 94, 91)(93, 96, 98)(95, 97, 100)(99, 104, 102)(101, 106, 103)(105, 108, 110)(107, 109, 112)(111, 116, 114)(113, 118, 115)(117, 120, 122)(119, 121, 124)(123, 128, 126)(125, 130, 127)(129, 132, 134)(131, 133, 136)(135, 140, 138)(137, 142, 139)(141, 144, 146)(143, 145, 148)(147, 152, 150)(149, 154, 151)(153, 156, 158)(155, 157, 160)(159, 164, 162)(161, 166, 163)(165, 167, 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) :: { ( 56^3 ), ( 56^28 ) }
Outer automorphisms :: reflexible
Dual of E26.1161
Transitivity :: ET+
Graph:: simple bipartite
	v = 31 e = 84 f = 3
	degree seq :: [ 3^28, 28^3 ]

E26.1161 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 28, 28})
Quotient :: loop
Aut^+ = C7 x (C3 : C4) (small group id <84, 3>)
Aut   = (C6 x D14) : C2 (small group id <168, 16>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-1 * T1^-1, T2^28 ]
Map:: non-degenerate
	R = (1, 85, 3, 87, 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, 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)(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, 83, 167, 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)(4, 88, 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, 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)
	L = (1, 86)(2, 88)(3, 92)(4, 85)(5, 94)(6, 87)(7, 89)(8, 90)(9, 96)(10, 91)(11, 97)(12, 98)(13, 100)(14, 93)(15, 104)(16, 95)(17, 106)(18, 99)(19, 101)(20, 102)(21, 108)(22, 103)(23, 109)(24, 110)(25, 112)(26, 105)(27, 116)(28, 107)(29, 118)(30, 111)(31, 113)(32, 114)(33, 120)(34, 115)(35, 121)(36, 122)(37, 124)(38, 117)(39, 128)(40, 119)(41, 130)(42, 123)(43, 125)(44, 126)(45, 132)(46, 127)(47, 133)(48, 134)(49, 136)(50, 129)(51, 140)(52, 131)(53, 142)(54, 135)(55, 137)(56, 138)(57, 144)(58, 139)(59, 145)(60, 146)(61, 148)(62, 141)(63, 152)(64, 143)(65, 154)(66, 147)(67, 149)(68, 150)(69, 156)(70, 151)(71, 157)(72, 158)(73, 160)(74, 153)(75, 164)(76, 155)(77, 166)(78, 159)(79, 161)(80, 162)(81, 167)(82, 163)(83, 168)(84, 165)
	local type(s) :: { ( 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28 ) }
Outer automorphisms :: reflexible
Dual of E26.1160
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 84 f = 31
	degree seq :: [ 56^3 ]

E26.1162 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 28, 28})
Quotient :: dipole
Aut^+ = C7 x (C3 : C4) (small group id <84, 3>)
Aut   = (C6 x D14) : C2 (small group id <168, 16>)
|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, Y2^28, 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 ]
Map::
	R = (1, 85, 2, 86, 4, 88)(3, 87, 8, 92, 6, 90)(5, 89, 10, 94, 7, 91)(9, 93, 12, 96, 14, 98)(11, 95, 13, 97, 16, 100)(15, 99, 20, 104, 18, 102)(17, 101, 22, 106, 19, 103)(21, 105, 24, 108, 26, 110)(23, 107, 25, 109, 28, 112)(27, 111, 32, 116, 30, 114)(29, 113, 34, 118, 31, 115)(33, 117, 36, 120, 38, 122)(35, 119, 37, 121, 40, 124)(39, 123, 44, 128, 42, 126)(41, 125, 46, 130, 43, 127)(45, 129, 48, 132, 50, 134)(47, 131, 49, 133, 52, 136)(51, 135, 56, 140, 54, 138)(53, 137, 58, 142, 55, 139)(57, 141, 60, 144, 62, 146)(59, 143, 61, 145, 64, 148)(63, 147, 68, 152, 66, 150)(65, 149, 70, 154, 67, 151)(69, 153, 72, 156, 74, 158)(71, 155, 73, 157, 76, 160)(75, 159, 80, 164, 78, 162)(77, 161, 82, 166, 79, 163)(81, 165, 83, 167, 84, 168)(169, 253, 171, 255, 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, 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)(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, 251, 335, 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)(172, 256, 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, 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)
	L = (1, 172)(2, 169)(3, 174)(4, 170)(5, 175)(6, 176)(7, 178)(8, 171)(9, 182)(10, 173)(11, 184)(12, 177)(13, 179)(14, 180)(15, 186)(16, 181)(17, 187)(18, 188)(19, 190)(20, 183)(21, 194)(22, 185)(23, 196)(24, 189)(25, 191)(26, 192)(27, 198)(28, 193)(29, 199)(30, 200)(31, 202)(32, 195)(33, 206)(34, 197)(35, 208)(36, 201)(37, 203)(38, 204)(39, 210)(40, 205)(41, 211)(42, 212)(43, 214)(44, 207)(45, 218)(46, 209)(47, 220)(48, 213)(49, 215)(50, 216)(51, 222)(52, 217)(53, 223)(54, 224)(55, 226)(56, 219)(57, 230)(58, 221)(59, 232)(60, 225)(61, 227)(62, 228)(63, 234)(64, 229)(65, 235)(66, 236)(67, 238)(68, 231)(69, 242)(70, 233)(71, 244)(72, 237)(73, 239)(74, 240)(75, 246)(76, 241)(77, 247)(78, 248)(79, 250)(80, 243)(81, 252)(82, 245)(83, 249)(84, 251)(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, 56, 2, 56, 2, 56 ), ( 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.1163
Graph:: bipartite
	v = 31 e = 168 f = 87
	degree seq :: [ 6^28, 56^3 ]

E26.1163 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 28, 28})
Quotient :: dipole
Aut^+ = C7 x (C3 : C4) (small group id <84, 3>)
Aut   = (C6 x D14) : C2 (small group id <168, 16>)
|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, Y1^28 ]
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, 77, 161, 71, 155, 65, 149, 59, 143, 53, 137, 47, 131, 41, 125, 35, 119, 29, 113, 23, 107, 17, 101, 11, 95, 4, 88)(3, 87, 8, 92, 13, 97, 20, 104, 25, 109, 32, 116, 37, 121, 44, 128, 49, 133, 56, 140, 61, 145, 68, 152, 73, 157, 80, 164, 83, 167, 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)(5, 89, 7, 91, 14, 98, 19, 103, 26, 110, 31, 115, 38, 122, 43, 127, 50, 134, 55, 139, 62, 146, 67, 151, 74, 158, 79, 163, 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)(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, 178)(5, 169)(6, 181)(7, 176)(8, 170)(9, 172)(10, 177)(11, 183)(12, 187)(13, 182)(14, 174)(15, 184)(16, 179)(17, 190)(18, 193)(19, 188)(20, 180)(21, 185)(22, 189)(23, 195)(24, 199)(25, 194)(26, 186)(27, 196)(28, 191)(29, 202)(30, 205)(31, 200)(32, 192)(33, 197)(34, 201)(35, 207)(36, 211)(37, 206)(38, 198)(39, 208)(40, 203)(41, 214)(42, 217)(43, 212)(44, 204)(45, 209)(46, 213)(47, 219)(48, 223)(49, 218)(50, 210)(51, 220)(52, 215)(53, 226)(54, 229)(55, 224)(56, 216)(57, 221)(58, 225)(59, 231)(60, 235)(61, 230)(62, 222)(63, 232)(64, 227)(65, 238)(66, 241)(67, 236)(68, 228)(69, 233)(70, 237)(71, 243)(72, 247)(73, 242)(74, 234)(75, 244)(76, 239)(77, 250)(78, 251)(79, 248)(80, 240)(81, 245)(82, 249)(83, 252)(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) :: { ( 6, 56 ), ( 6, 56, 6, 56, 6, 56, 6, 56, 6, 56, 6, 56, 6, 56, 6, 56, 6, 56, 6, 56, 6, 56, 6, 56, 6, 56, 6, 56, 6, 56, 6, 56, 6, 56, 6, 56, 6, 56, 6, 56, 6, 56, 6, 56, 6, 56, 6, 56, 6, 56, 6, 56, 6, 56, 6, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.1162
Graph:: simple bipartite
	v = 87 e = 168 f = 31
	degree seq :: [ 2^84, 56^3 ]

E26.1164 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 16})
Quotient :: edge
Aut^+ = (C3 : C16) : C2 (small group id <96, 34>)
Aut   = $<192, 470>$ (small group id <192, 470>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^-2 * T2^-1 * T1^-2, T2^6, T2^-2 * T1^-1 * T2^-2 * T1, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2 * T1^-1)^16 ]
Map:: non-degenerate
	R = (1, 3, 10, 27, 16, 5)(2, 7, 20, 38, 24, 8)(4, 12, 31, 49, 28, 13)(6, 17, 34, 52, 35, 18)(9, 25, 14, 32, 47, 26)(11, 29, 15, 33, 48, 30)(19, 36, 22, 41, 57, 37)(21, 39, 23, 42, 58, 40)(43, 61, 45, 65, 50, 62)(44, 63, 46, 66, 51, 64)(53, 67, 55, 71, 59, 68)(54, 69, 56, 72, 60, 70)(73, 85, 75, 89, 77, 86)(74, 87, 76, 90, 78, 88)(79, 91, 81, 95, 83, 92)(80, 93, 82, 96, 84, 94)(97, 98, 102, 100)(99, 105, 113, 107)(101, 110, 114, 111)(103, 115, 108, 117)(104, 118, 109, 119)(106, 120, 130, 124)(112, 116, 131, 127)(121, 139, 125, 140)(122, 141, 126, 142)(123, 143, 148, 144)(128, 146, 129, 147)(132, 149, 135, 150)(133, 151, 136, 152)(134, 153, 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, 192, 184, 191)(185, 190, 186, 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 ), ( 32^6 ) }
Outer automorphisms :: reflexible
Dual of E26.1168
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 96 f = 6
	degree seq :: [ 4^24, 6^16 ]

E26.1165 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 16})
Quotient :: edge
Aut^+ = (C3 : C16) : C2 (small group id <96, 34>)
Aut   = $<192, 470>$ (small group id <192, 470>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1 * T2 * T1^2 * T2^-1 * T1, T2^-1 * T1^-1 * T2^-2 * T1 * T2^-1, T1^6, (T2 * T1^-1)^4, T2^7 * T1 * T2^-1 * T1 ]
Map:: non-degenerate
	R = (1, 3, 10, 30, 59, 75, 48, 21, 47, 24, 52, 78, 67, 40, 17, 5)(2, 7, 22, 49, 76, 60, 33, 11, 32, 16, 39, 66, 80, 54, 26, 8)(4, 12, 35, 63, 83, 58, 29, 9, 28, 15, 38, 65, 84, 61, 31, 14)(6, 19, 43, 70, 89, 77, 51, 23, 50, 25, 53, 79, 92, 74, 46, 20)(13, 27, 55, 81, 93, 85, 62, 34, 56, 37, 57, 82, 94, 86, 64, 36)(18, 41, 68, 87, 95, 90, 72, 44, 71, 45, 73, 91, 96, 88, 69, 42)(97, 98, 102, 114, 109, 100)(99, 105, 123, 140, 115, 107)(101, 111, 132, 141, 116, 112)(103, 117, 108, 130, 137, 119)(104, 120, 110, 133, 138, 121)(106, 122, 139, 165, 151, 127)(113, 118, 142, 164, 160, 131)(124, 143, 128, 146, 167, 152)(125, 148, 129, 149, 168, 153)(126, 154, 177, 186, 166, 156)(134, 144, 135, 147, 169, 158)(136, 161, 182, 187, 170, 162)(145, 171, 159, 181, 183, 173)(150, 174, 157, 178, 184, 175)(155, 176, 185, 192, 189, 180)(163, 172, 188, 191, 190, 179)
	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 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E26.1169
Transitivity :: ET+
Graph:: simple bipartite
	v = 22 e = 96 f = 24
	degree seq :: [ 6^16, 16^6 ]

E26.1166 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 16})
Quotient :: edge
Aut^+ = (C3 : C16) : C2 (small group id <96, 34>)
Aut   = $<192, 470>$ (small group id <192, 470>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, T1^-2 * T2^-1 * T1^-2 * T2, T2^-1 * T1 * T2^-2 * T1^-1 * T2^-1, T1 * T2 * T1^-4 * T2 * T1^3, (T2 * T1^-1)^6, T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 5)(2, 7, 21, 8)(4, 12, 28, 14)(6, 18, 38, 19)(9, 26, 15, 27)(11, 29, 16, 30)(13, 25, 46, 33)(17, 36, 62, 37)(20, 41, 23, 42)(22, 43, 24, 44)(31, 54, 34, 55)(32, 53, 59, 57)(35, 60, 56, 61)(39, 65, 40, 66)(45, 73, 58, 74)(47, 75, 49, 76)(48, 77, 50, 78)(51, 79, 52, 80)(63, 83, 64, 84)(67, 87, 69, 88)(68, 89, 70, 90)(71, 91, 72, 92)(81, 94, 82, 93)(85, 95, 86, 96)(97, 98, 102, 113, 131, 155, 142, 124, 106, 117, 134, 158, 152, 128, 109, 100)(99, 105, 121, 141, 157, 136, 115, 112, 101, 111, 129, 154, 156, 135, 114, 107)(103, 116, 108, 127, 149, 160, 133, 120, 104, 119, 110, 130, 153, 159, 132, 118)(122, 143, 125, 147, 161, 181, 170, 146, 123, 145, 126, 148, 162, 182, 169, 144)(137, 163, 139, 167, 179, 178, 151, 166, 138, 165, 140, 168, 180, 177, 150, 164)(171, 186, 173, 189, 192, 187, 176, 183, 172, 185, 174, 190, 191, 188, 175, 184)
	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 ), ( 12^16 ) }
Outer automorphisms :: reflexible
Dual of E26.1167
Transitivity :: ET+
Graph:: bipartite
	v = 30 e = 96 f = 16
	degree seq :: [ 4^24, 16^6 ]

E26.1167 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 16})
Quotient :: loop
Aut^+ = (C3 : C16) : C2 (small group id <96, 34>)
Aut   = $<192, 470>$ (small group id <192, 470>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^-2 * T2^-1 * T1^-2, T2^6, T2^-2 * T1^-1 * T2^-2 * T1, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2 * T1^-1)^16 ]
Map:: polytopal 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, 31, 127, 49, 145, 28, 124, 13, 109)(6, 102, 17, 113, 34, 130, 52, 148, 35, 131, 18, 114)(9, 105, 25, 121, 14, 110, 32, 128, 47, 143, 26, 122)(11, 107, 29, 125, 15, 111, 33, 129, 48, 144, 30, 126)(19, 115, 36, 132, 22, 118, 41, 137, 57, 153, 37, 133)(21, 117, 39, 135, 23, 119, 42, 138, 58, 154, 40, 136)(43, 139, 61, 157, 45, 141, 65, 161, 50, 146, 62, 158)(44, 140, 63, 159, 46, 142, 66, 162, 51, 147, 64, 160)(53, 149, 67, 163, 55, 151, 71, 167, 59, 155, 68, 164)(54, 150, 69, 165, 56, 152, 72, 168, 60, 156, 70, 166)(73, 169, 85, 181, 75, 171, 89, 185, 77, 173, 86, 182)(74, 170, 87, 183, 76, 172, 90, 186, 78, 174, 88, 184)(79, 175, 91, 187, 81, 177, 95, 191, 83, 179, 92, 188)(80, 176, 93, 189, 82, 178, 96, 192, 84, 180, 94, 190)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 115)(8, 118)(9, 113)(10, 120)(11, 99)(12, 117)(13, 119)(14, 114)(15, 101)(16, 116)(17, 107)(18, 111)(19, 108)(20, 131)(21, 103)(22, 109)(23, 104)(24, 130)(25, 139)(26, 141)(27, 143)(28, 106)(29, 140)(30, 142)(31, 112)(32, 146)(33, 147)(34, 124)(35, 127)(36, 149)(37, 151)(38, 153)(39, 150)(40, 152)(41, 155)(42, 156)(43, 125)(44, 121)(45, 126)(46, 122)(47, 148)(48, 123)(49, 154)(50, 129)(51, 128)(52, 144)(53, 135)(54, 132)(55, 136)(56, 133)(57, 145)(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, 192)(87, 187)(88, 191)(89, 190)(90, 188)(91, 181)(92, 185)(93, 183)(94, 186)(95, 182)(96, 184)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E26.1166
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 96 f = 30
	degree seq :: [ 12^16 ]

E26.1168 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 16})
Quotient :: loop
Aut^+ = (C3 : C16) : C2 (small group id <96, 34>)
Aut   = $<192, 470>$ (small group id <192, 470>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1 * T2 * T1^2 * T2^-1 * T1, T2^-1 * T1^-1 * T2^-2 * T1 * T2^-1, T1^6, (T2 * T1^-1)^4, T2^7 * T1 * T2^-1 * T1 ]
Map:: non-degenerate
	R = (1, 97, 3, 99, 10, 106, 30, 126, 59, 155, 75, 171, 48, 144, 21, 117, 47, 143, 24, 120, 52, 148, 78, 174, 67, 163, 40, 136, 17, 113, 5, 101)(2, 98, 7, 103, 22, 118, 49, 145, 76, 172, 60, 156, 33, 129, 11, 107, 32, 128, 16, 112, 39, 135, 66, 162, 80, 176, 54, 150, 26, 122, 8, 104)(4, 100, 12, 108, 35, 131, 63, 159, 83, 179, 58, 154, 29, 125, 9, 105, 28, 124, 15, 111, 38, 134, 65, 161, 84, 180, 61, 157, 31, 127, 14, 110)(6, 102, 19, 115, 43, 139, 70, 166, 89, 185, 77, 173, 51, 147, 23, 119, 50, 146, 25, 121, 53, 149, 79, 175, 92, 188, 74, 170, 46, 142, 20, 116)(13, 109, 27, 123, 55, 151, 81, 177, 93, 189, 85, 181, 62, 158, 34, 130, 56, 152, 37, 133, 57, 153, 82, 178, 94, 190, 86, 182, 64, 160, 36, 132)(18, 114, 41, 137, 68, 164, 87, 183, 95, 191, 90, 186, 72, 168, 44, 140, 71, 167, 45, 141, 73, 169, 91, 187, 96, 192, 88, 184, 69, 165, 42, 138)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 111)(6, 114)(7, 117)(8, 120)(9, 123)(10, 122)(11, 99)(12, 130)(13, 100)(14, 133)(15, 132)(16, 101)(17, 118)(18, 109)(19, 107)(20, 112)(21, 108)(22, 142)(23, 103)(24, 110)(25, 104)(26, 139)(27, 140)(28, 143)(29, 148)(30, 154)(31, 106)(32, 146)(33, 149)(34, 137)(35, 113)(36, 141)(37, 138)(38, 144)(39, 147)(40, 161)(41, 119)(42, 121)(43, 165)(44, 115)(45, 116)(46, 164)(47, 128)(48, 135)(49, 171)(50, 167)(51, 169)(52, 129)(53, 168)(54, 174)(55, 127)(56, 124)(57, 125)(58, 177)(59, 176)(60, 126)(61, 178)(62, 134)(63, 181)(64, 131)(65, 182)(66, 136)(67, 172)(68, 160)(69, 151)(70, 156)(71, 152)(72, 153)(73, 158)(74, 162)(75, 159)(76, 188)(77, 145)(78, 157)(79, 150)(80, 185)(81, 186)(82, 184)(83, 163)(84, 155)(85, 183)(86, 187)(87, 173)(88, 175)(89, 192)(90, 166)(91, 170)(92, 191)(93, 180)(94, 179)(95, 190)(96, 189)
	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 E26.1164
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 96 f = 40
	degree seq :: [ 32^6 ]

E26.1169 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 16})
Quotient :: loop
Aut^+ = (C3 : C16) : C2 (small group id <96, 34>)
Aut   = $<192, 470>$ (small group id <192, 470>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, T1^-2 * T2^-1 * T1^-2 * T2, T2^-1 * T1 * T2^-2 * T1^-1 * T2^-1, T1 * T2 * T1^-4 * T2 * T1^3, (T2 * T1^-1)^6, T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 ]
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, 38, 134, 19, 115)(9, 105, 26, 122, 15, 111, 27, 123)(11, 107, 29, 125, 16, 112, 30, 126)(13, 109, 25, 121, 46, 142, 33, 129)(17, 113, 36, 132, 62, 158, 37, 133)(20, 116, 41, 137, 23, 119, 42, 138)(22, 118, 43, 139, 24, 120, 44, 140)(31, 127, 54, 150, 34, 130, 55, 151)(32, 128, 53, 149, 59, 155, 57, 153)(35, 131, 60, 156, 56, 152, 61, 157)(39, 135, 65, 161, 40, 136, 66, 162)(45, 141, 73, 169, 58, 154, 74, 170)(47, 143, 75, 171, 49, 145, 76, 172)(48, 144, 77, 173, 50, 146, 78, 174)(51, 147, 79, 175, 52, 148, 80, 176)(63, 159, 83, 179, 64, 160, 84, 180)(67, 163, 87, 183, 69, 165, 88, 184)(68, 164, 89, 185, 70, 166, 90, 186)(71, 167, 91, 187, 72, 168, 92, 188)(81, 177, 94, 190, 82, 178, 93, 189)(85, 181, 95, 191, 86, 182, 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, 127)(13, 100)(14, 130)(15, 129)(16, 101)(17, 131)(18, 107)(19, 112)(20, 108)(21, 134)(22, 103)(23, 110)(24, 104)(25, 141)(26, 143)(27, 145)(28, 106)(29, 147)(30, 148)(31, 149)(32, 109)(33, 154)(34, 153)(35, 155)(36, 118)(37, 120)(38, 158)(39, 114)(40, 115)(41, 163)(42, 165)(43, 167)(44, 168)(45, 157)(46, 124)(47, 125)(48, 122)(49, 126)(50, 123)(51, 161)(52, 162)(53, 160)(54, 164)(55, 166)(56, 128)(57, 159)(58, 156)(59, 142)(60, 135)(61, 136)(62, 152)(63, 132)(64, 133)(65, 181)(66, 182)(67, 139)(68, 137)(69, 140)(70, 138)(71, 179)(72, 180)(73, 144)(74, 146)(75, 186)(76, 185)(77, 189)(78, 190)(79, 184)(80, 183)(81, 150)(82, 151)(83, 178)(84, 177)(85, 170)(86, 169)(87, 172)(88, 171)(89, 174)(90, 173)(91, 176)(92, 175)(93, 192)(94, 191)(95, 188)(96, 187)
	local type(s) :: { ( 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E26.1165
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 96 f = 22
	degree seq :: [ 8^24 ]

E26.1170 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 16})
Quotient :: dipole
Aut^+ = (C3 : C16) : C2 (small group id <96, 34>)
Aut   = $<192, 470>$ (small group id <192, 470>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3^4, Y1 * Y3^-2 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^2 * Y2^-1 * Y1^-2, Y1 * Y2^-1 * Y3 * Y1^-1 * Y2 * Y3^-1, Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, R * Y2^2 * R * Y2^-2, Y2^2 * Y1 * Y2^2 * Y1^-1, Y2^6, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y2)^16 ]
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, 24, 120, 34, 130, 28, 124)(16, 112, 20, 116, 35, 131, 31, 127)(25, 121, 43, 139, 29, 125, 44, 140)(26, 122, 45, 141, 30, 126, 46, 142)(27, 123, 47, 143, 52, 148, 48, 144)(32, 128, 50, 146, 33, 129, 51, 147)(36, 132, 53, 149, 39, 135, 54, 150)(37, 133, 55, 151, 40, 136, 56, 152)(38, 134, 57, 153, 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, 96, 192, 88, 184, 95, 191)(89, 185, 94, 190, 90, 186, 92, 188)(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, 223, 319, 241, 337, 220, 316, 205, 301)(198, 294, 209, 305, 226, 322, 244, 340, 227, 323, 210, 306)(201, 297, 217, 313, 206, 302, 224, 320, 239, 335, 218, 314)(203, 299, 221, 317, 207, 303, 225, 321, 240, 336, 222, 318)(211, 307, 228, 324, 214, 310, 233, 329, 249, 345, 229, 325)(213, 309, 231, 327, 215, 311, 234, 330, 250, 346, 232, 328)(235, 331, 253, 349, 237, 333, 257, 353, 242, 338, 254, 350)(236, 332, 255, 351, 238, 334, 258, 354, 243, 339, 256, 352)(245, 341, 259, 355, 247, 343, 263, 359, 251, 347, 260, 356)(246, 342, 261, 357, 248, 344, 264, 360, 252, 348, 262, 358)(265, 361, 277, 373, 267, 363, 281, 377, 269, 365, 278, 374)(266, 362, 279, 375, 268, 364, 282, 378, 270, 366, 280, 376)(271, 367, 283, 379, 273, 369, 287, 383, 275, 371, 284, 380)(272, 368, 285, 381, 274, 370, 288, 384, 276, 372, 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, 208)(21, 204)(22, 200)(23, 205)(24, 202)(25, 236)(26, 238)(27, 240)(28, 226)(29, 235)(30, 237)(31, 227)(32, 243)(33, 242)(34, 216)(35, 212)(36, 246)(37, 248)(38, 250)(39, 245)(40, 247)(41, 252)(42, 251)(43, 217)(44, 221)(45, 218)(46, 222)(47, 219)(48, 244)(49, 249)(50, 224)(51, 225)(52, 239)(53, 228)(54, 231)(55, 229)(56, 232)(57, 230)(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, 287)(87, 285)(88, 288)(89, 284)(90, 286)(91, 279)(92, 282)(93, 277)(94, 281)(95, 280)(96, 278)(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, 32, 2, 32, 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ) }
Outer automorphisms :: reflexible
Dual of E26.1173
Graph:: bipartite
	v = 40 e = 192 f = 102
	degree seq :: [ 8^24, 12^16 ]

E26.1171 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 16})
Quotient :: dipole
Aut^+ = (C3 : C16) : C2 (small group id <96, 34>)
Aut   = $<192, 470>$ (small group id <192, 470>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1^-1 * Y2^-2 * Y1 * Y2^-1, Y1^-1 * Y2^-1 * Y1^-2 * Y2 * Y1^-1, Y1^6, Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1, (Y3^-1 * Y1^-1)^4, Y2^7 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 18, 114, 13, 109, 4, 100)(3, 99, 9, 105, 27, 123, 44, 140, 19, 115, 11, 107)(5, 101, 15, 111, 36, 132, 45, 141, 20, 116, 16, 112)(7, 103, 21, 117, 12, 108, 34, 130, 41, 137, 23, 119)(8, 104, 24, 120, 14, 110, 37, 133, 42, 138, 25, 121)(10, 106, 26, 122, 43, 139, 69, 165, 55, 151, 31, 127)(17, 113, 22, 118, 46, 142, 68, 164, 64, 160, 35, 131)(28, 124, 47, 143, 32, 128, 50, 146, 71, 167, 56, 152)(29, 125, 52, 148, 33, 129, 53, 149, 72, 168, 57, 153)(30, 126, 58, 154, 81, 177, 90, 186, 70, 166, 60, 156)(38, 134, 48, 144, 39, 135, 51, 147, 73, 169, 62, 158)(40, 136, 65, 161, 86, 182, 91, 187, 74, 170, 66, 162)(49, 145, 75, 171, 63, 159, 85, 181, 87, 183, 77, 173)(54, 150, 78, 174, 61, 157, 82, 178, 88, 184, 79, 175)(59, 155, 80, 176, 89, 185, 96, 192, 93, 189, 84, 180)(67, 163, 76, 172, 92, 188, 95, 191, 94, 190, 83, 179)(193, 289, 195, 291, 202, 298, 222, 318, 251, 347, 267, 363, 240, 336, 213, 309, 239, 335, 216, 312, 244, 340, 270, 366, 259, 355, 232, 328, 209, 305, 197, 293)(194, 290, 199, 295, 214, 310, 241, 337, 268, 364, 252, 348, 225, 321, 203, 299, 224, 320, 208, 304, 231, 327, 258, 354, 272, 368, 246, 342, 218, 314, 200, 296)(196, 292, 204, 300, 227, 323, 255, 351, 275, 371, 250, 346, 221, 317, 201, 297, 220, 316, 207, 303, 230, 326, 257, 353, 276, 372, 253, 349, 223, 319, 206, 302)(198, 294, 211, 307, 235, 331, 262, 358, 281, 377, 269, 365, 243, 339, 215, 311, 242, 338, 217, 313, 245, 341, 271, 367, 284, 380, 266, 362, 238, 334, 212, 308)(205, 301, 219, 315, 247, 343, 273, 369, 285, 381, 277, 373, 254, 350, 226, 322, 248, 344, 229, 325, 249, 345, 274, 370, 286, 382, 278, 374, 256, 352, 228, 324)(210, 306, 233, 329, 260, 356, 279, 375, 287, 383, 282, 378, 264, 360, 236, 332, 263, 359, 237, 333, 265, 361, 283, 379, 288, 384, 280, 376, 261, 357, 234, 330)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 211)(7, 214)(8, 194)(9, 220)(10, 222)(11, 224)(12, 227)(13, 219)(14, 196)(15, 230)(16, 231)(17, 197)(18, 233)(19, 235)(20, 198)(21, 239)(22, 241)(23, 242)(24, 244)(25, 245)(26, 200)(27, 247)(28, 207)(29, 201)(30, 251)(31, 206)(32, 208)(33, 203)(34, 248)(35, 255)(36, 205)(37, 249)(38, 257)(39, 258)(40, 209)(41, 260)(42, 210)(43, 262)(44, 263)(45, 265)(46, 212)(47, 216)(48, 213)(49, 268)(50, 217)(51, 215)(52, 270)(53, 271)(54, 218)(55, 273)(56, 229)(57, 274)(58, 221)(59, 267)(60, 225)(61, 223)(62, 226)(63, 275)(64, 228)(65, 276)(66, 272)(67, 232)(68, 279)(69, 234)(70, 281)(71, 237)(72, 236)(73, 283)(74, 238)(75, 240)(76, 252)(77, 243)(78, 259)(79, 284)(80, 246)(81, 285)(82, 286)(83, 250)(84, 253)(85, 254)(86, 256)(87, 287)(88, 261)(89, 269)(90, 264)(91, 288)(92, 266)(93, 277)(94, 278)(95, 282)(96, 280)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.1172
Graph:: bipartite
	v = 22 e = 192 f = 120
	degree seq :: [ 12^16, 32^6 ]

E26.1172 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 16})
Quotient :: dipole
Aut^+ = (C3 : C16) : C2 (small group id <96, 34>)
Aut   = $<192, 470>$ (small group id <192, 470>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y3 * Y2^-2 * Y3^-1 * Y2^-2, Y3^-2 * Y2^-1 * Y3^-2 * Y2, Y3^5 * Y2^2 * Y3^3, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^16 ]
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, 216, 312, 227, 323, 220, 316)(208, 304, 212, 308, 228, 324, 223, 319)(217, 313, 237, 333, 221, 317, 238, 334)(218, 314, 239, 335, 222, 318, 240, 336)(219, 315, 241, 337, 251, 347, 243, 339)(224, 320, 246, 342, 225, 321, 248, 344)(226, 322, 247, 343, 252, 348, 249, 345)(229, 325, 253, 349, 232, 328, 254, 350)(230, 326, 255, 351, 233, 329, 256, 352)(231, 327, 257, 353, 245, 341, 259, 355)(234, 330, 260, 356, 235, 331, 262, 358)(236, 332, 261, 357, 244, 340, 263, 359)(242, 338, 264, 360, 250, 346, 258, 354)(265, 361, 278, 374, 267, 363, 276, 372)(266, 362, 277, 373, 268, 364, 275, 371)(269, 365, 284, 380, 270, 366, 283, 379)(271, 367, 285, 381, 272, 368, 286, 382)(273, 369, 280, 376, 274, 370, 279, 375)(281, 377, 287, 383, 282, 378, 288, 384)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 217)(10, 219)(11, 221)(12, 223)(13, 196)(14, 224)(15, 225)(16, 197)(17, 227)(18, 198)(19, 229)(20, 231)(21, 232)(22, 234)(23, 235)(24, 200)(25, 206)(26, 201)(27, 242)(28, 205)(29, 207)(30, 203)(31, 245)(32, 247)(33, 249)(34, 208)(35, 251)(36, 210)(37, 214)(38, 211)(39, 258)(40, 215)(41, 213)(42, 261)(43, 263)(44, 216)(45, 265)(46, 267)(47, 269)(48, 270)(49, 218)(50, 252)(51, 222)(52, 220)(53, 264)(54, 266)(55, 272)(56, 268)(57, 271)(58, 226)(59, 250)(60, 228)(61, 275)(62, 277)(63, 279)(64, 280)(65, 230)(66, 244)(67, 233)(68, 276)(69, 282)(70, 278)(71, 281)(72, 236)(73, 239)(74, 237)(75, 240)(76, 238)(77, 285)(78, 286)(79, 241)(80, 243)(81, 246)(82, 248)(83, 255)(84, 253)(85, 256)(86, 254)(87, 287)(88, 288)(89, 257)(90, 259)(91, 260)(92, 262)(93, 274)(94, 273)(95, 284)(96, 283)(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, 32 ), ( 12, 32, 12, 32, 12, 32, 12, 32 ) }
Outer automorphisms :: reflexible
Dual of E26.1171
Graph:: simple bipartite
	v = 120 e = 192 f = 22
	degree seq :: [ 2^96, 8^24 ]

E26.1173 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 16})
Quotient :: dipole
Aut^+ = (C3 : C16) : C2 (small group id <96, 34>)
Aut   = $<192, 470>$ (small group id <192, 470>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1 * Y3^-2 * Y1^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3 * Y1^2 * Y3^-1 * Y1^2, (Y3 * Y2^-1)^4, Y1 * Y3 * Y1^-4 * Y3 * Y1^3, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1, (Y3 * Y1^-1)^6 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 17, 113, 35, 131, 59, 155, 46, 142, 28, 124, 10, 106, 21, 117, 38, 134, 62, 158, 56, 152, 32, 128, 13, 109, 4, 100)(3, 99, 9, 105, 25, 121, 45, 141, 61, 157, 40, 136, 19, 115, 16, 112, 5, 101, 15, 111, 33, 129, 58, 154, 60, 156, 39, 135, 18, 114, 11, 107)(7, 103, 20, 116, 12, 108, 31, 127, 53, 149, 64, 160, 37, 133, 24, 120, 8, 104, 23, 119, 14, 110, 34, 130, 57, 153, 63, 159, 36, 132, 22, 118)(26, 122, 47, 143, 29, 125, 51, 147, 65, 161, 85, 181, 74, 170, 50, 146, 27, 123, 49, 145, 30, 126, 52, 148, 66, 162, 86, 182, 73, 169, 48, 144)(41, 137, 67, 163, 43, 139, 71, 167, 83, 179, 82, 178, 55, 151, 70, 166, 42, 138, 69, 165, 44, 140, 72, 168, 84, 180, 81, 177, 54, 150, 68, 164)(75, 171, 90, 186, 77, 173, 93, 189, 96, 192, 91, 187, 80, 176, 87, 183, 76, 172, 89, 185, 78, 174, 94, 190, 95, 191, 92, 188, 79, 175, 88, 184)(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, 217)(14, 196)(15, 219)(16, 222)(17, 228)(18, 230)(19, 198)(20, 233)(21, 200)(22, 235)(23, 234)(24, 236)(25, 238)(26, 207)(27, 201)(28, 206)(29, 208)(30, 203)(31, 246)(32, 245)(33, 205)(34, 247)(35, 252)(36, 254)(37, 209)(38, 211)(39, 257)(40, 258)(41, 215)(42, 212)(43, 216)(44, 214)(45, 265)(46, 225)(47, 267)(48, 269)(49, 268)(50, 270)(51, 271)(52, 272)(53, 251)(54, 226)(55, 223)(56, 253)(57, 224)(58, 266)(59, 249)(60, 248)(61, 227)(62, 229)(63, 275)(64, 276)(65, 232)(66, 231)(67, 279)(68, 281)(69, 280)(70, 282)(71, 283)(72, 284)(73, 250)(74, 237)(75, 241)(76, 239)(77, 242)(78, 240)(79, 244)(80, 243)(81, 286)(82, 285)(83, 256)(84, 255)(85, 287)(86, 288)(87, 261)(88, 259)(89, 262)(90, 260)(91, 264)(92, 263)(93, 273)(94, 274)(95, 278)(96, 277)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.1170
Graph:: simple bipartite
	v = 102 e = 192 f = 40
	degree seq :: [ 2^96, 32^6 ]

E26.1174 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 16})
Quotient :: dipole
Aut^+ = (C3 : C16) : C2 (small group id <96, 34>)
Aut   = $<192, 470>$ (small group id <192, 470>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y3^-1 * Y1^-1, (R * Y1)^2, Y1^4, (R * Y3)^2, Y2^2 * Y3^-1 * Y2^2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y2^-2 * Y1^-1 * Y2^-2 * Y1, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y2^5 * Y1 * Y3^-1 * Y2^3, Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, (Y3 * Y2)^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, 24, 120, 35, 131, 28, 124)(16, 112, 20, 116, 36, 132, 31, 127)(25, 121, 45, 141, 29, 125, 46, 142)(26, 122, 47, 143, 30, 126, 48, 144)(27, 123, 49, 145, 59, 155, 51, 147)(32, 128, 54, 150, 33, 129, 56, 152)(34, 130, 55, 151, 60, 156, 57, 153)(37, 133, 61, 157, 40, 136, 62, 158)(38, 134, 63, 159, 41, 137, 64, 160)(39, 135, 65, 161, 53, 149, 67, 163)(42, 138, 68, 164, 43, 139, 70, 166)(44, 140, 69, 165, 52, 148, 71, 167)(50, 146, 72, 168, 58, 154, 66, 162)(73, 169, 86, 182, 75, 171, 84, 180)(74, 170, 85, 181, 76, 172, 83, 179)(77, 173, 92, 188, 78, 174, 91, 187)(79, 175, 93, 189, 80, 176, 94, 190)(81, 177, 88, 184, 82, 178, 87, 183)(89, 185, 95, 191, 90, 186, 96, 192)(193, 289, 195, 291, 202, 298, 219, 315, 242, 338, 252, 348, 228, 324, 210, 306, 198, 294, 209, 305, 227, 323, 251, 347, 250, 346, 226, 322, 208, 304, 197, 293)(194, 290, 199, 295, 212, 308, 231, 327, 258, 354, 244, 340, 220, 316, 205, 301, 196, 292, 204, 300, 223, 319, 245, 341, 264, 360, 236, 332, 216, 312, 200, 296)(201, 297, 217, 313, 206, 302, 224, 320, 247, 343, 272, 368, 243, 339, 222, 318, 203, 299, 221, 317, 207, 303, 225, 321, 249, 345, 271, 367, 241, 337, 218, 314)(211, 307, 229, 325, 214, 310, 234, 330, 261, 357, 282, 378, 259, 355, 233, 329, 213, 309, 232, 328, 215, 311, 235, 331, 263, 359, 281, 377, 257, 353, 230, 326)(237, 333, 265, 361, 239, 335, 269, 365, 285, 381, 274, 370, 248, 344, 268, 364, 238, 334, 267, 363, 240, 336, 270, 366, 286, 382, 273, 369, 246, 342, 266, 362)(253, 349, 275, 371, 255, 351, 279, 375, 287, 383, 284, 380, 262, 358, 278, 374, 254, 350, 277, 373, 256, 352, 280, 376, 288, 384, 283, 379, 260, 356, 276, 372)
	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, 208)(21, 204)(22, 200)(23, 205)(24, 202)(25, 238)(26, 240)(27, 243)(28, 227)(29, 237)(30, 239)(31, 228)(32, 248)(33, 246)(34, 249)(35, 216)(36, 212)(37, 254)(38, 256)(39, 259)(40, 253)(41, 255)(42, 262)(43, 260)(44, 263)(45, 217)(46, 221)(47, 218)(48, 222)(49, 219)(50, 258)(51, 251)(52, 261)(53, 257)(54, 224)(55, 226)(56, 225)(57, 252)(58, 264)(59, 241)(60, 247)(61, 229)(62, 232)(63, 230)(64, 233)(65, 231)(66, 250)(67, 245)(68, 234)(69, 236)(70, 235)(71, 244)(72, 242)(73, 276)(74, 275)(75, 278)(76, 277)(77, 283)(78, 284)(79, 286)(80, 285)(81, 279)(82, 280)(83, 268)(84, 267)(85, 266)(86, 265)(87, 274)(88, 273)(89, 288)(90, 287)(91, 270)(92, 269)(93, 271)(94, 272)(95, 281)(96, 282)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.1175
Graph:: bipartite
	v = 30 e = 192 f = 112
	degree seq :: [ 8^24, 32^6 ]

E26.1175 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 16})
Quotient :: dipole
Aut^+ = (C3 : C16) : C2 (small group id <96, 34>)
Aut   = $<192, 470>$ (small group id <192, 470>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y1^-2 * Y3^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y3^-2 * Y1 * Y3^-1, Y1^6, Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y3^7 * Y1 * Y3^-1 * Y1, (Y3 * Y2^-1)^16 ]
Map:: polytopal
	R = (1, 97, 2, 98, 6, 102, 18, 114, 13, 109, 4, 100)(3, 99, 9, 105, 27, 123, 44, 140, 19, 115, 11, 107)(5, 101, 15, 111, 36, 132, 45, 141, 20, 116, 16, 112)(7, 103, 21, 117, 12, 108, 34, 130, 41, 137, 23, 119)(8, 104, 24, 120, 14, 110, 37, 133, 42, 138, 25, 121)(10, 106, 26, 122, 43, 139, 69, 165, 55, 151, 31, 127)(17, 113, 22, 118, 46, 142, 68, 164, 64, 160, 35, 131)(28, 124, 47, 143, 32, 128, 50, 146, 71, 167, 56, 152)(29, 125, 52, 148, 33, 129, 53, 149, 72, 168, 57, 153)(30, 126, 58, 154, 81, 177, 90, 186, 70, 166, 60, 156)(38, 134, 48, 144, 39, 135, 51, 147, 73, 169, 62, 158)(40, 136, 65, 161, 86, 182, 91, 187, 74, 170, 66, 162)(49, 145, 75, 171, 63, 159, 85, 181, 87, 183, 77, 173)(54, 150, 78, 174, 61, 157, 82, 178, 88, 184, 79, 175)(59, 155, 80, 176, 89, 185, 96, 192, 93, 189, 84, 180)(67, 163, 76, 172, 92, 188, 95, 191, 94, 190, 83, 179)(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, 220)(10, 222)(11, 224)(12, 227)(13, 219)(14, 196)(15, 230)(16, 231)(17, 197)(18, 233)(19, 235)(20, 198)(21, 239)(22, 241)(23, 242)(24, 244)(25, 245)(26, 200)(27, 247)(28, 207)(29, 201)(30, 251)(31, 206)(32, 208)(33, 203)(34, 248)(35, 255)(36, 205)(37, 249)(38, 257)(39, 258)(40, 209)(41, 260)(42, 210)(43, 262)(44, 263)(45, 265)(46, 212)(47, 216)(48, 213)(49, 268)(50, 217)(51, 215)(52, 270)(53, 271)(54, 218)(55, 273)(56, 229)(57, 274)(58, 221)(59, 267)(60, 225)(61, 223)(62, 226)(63, 275)(64, 228)(65, 276)(66, 272)(67, 232)(68, 279)(69, 234)(70, 281)(71, 237)(72, 236)(73, 283)(74, 238)(75, 240)(76, 252)(77, 243)(78, 259)(79, 284)(80, 246)(81, 285)(82, 286)(83, 250)(84, 253)(85, 254)(86, 256)(87, 287)(88, 261)(89, 269)(90, 264)(91, 288)(92, 266)(93, 277)(94, 278)(95, 282)(96, 280)(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, 32 ), ( 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E26.1174
Graph:: simple bipartite
	v = 112 e = 192 f = 30
	degree seq :: [ 2^96, 12^16 ]

E26.1176 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C25 : C4 (small group id <100, 3>)
Aut   = C2 x (C25 : C4) (small group id <200, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y2, Y2^4, Y1^2 * Y2^-2, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1^-1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2, Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 ]
Map:: non-degenerate
	R = (1, 101, 4, 104)(2, 102, 6, 106)(3, 103, 7, 107)(5, 105, 10, 110)(8, 108, 16, 116)(9, 109, 17, 117)(11, 111, 21, 121)(12, 112, 22, 122)(13, 113, 24, 124)(14, 114, 25, 125)(15, 115, 26, 126)(18, 118, 30, 130)(19, 119, 31, 131)(20, 120, 32, 132)(23, 123, 35, 135)(27, 127, 40, 140)(28, 128, 41, 141)(29, 129, 42, 142)(33, 133, 47, 147)(34, 134, 48, 148)(36, 136, 51, 151)(37, 137, 52, 152)(38, 138, 54, 154)(39, 139, 55, 155)(43, 143, 60, 160)(44, 144, 61, 161)(45, 145, 63, 163)(46, 146, 64, 164)(49, 149, 68, 168)(50, 150, 69, 169)(53, 153, 72, 172)(56, 156, 75, 175)(57, 157, 76, 176)(58, 158, 78, 178)(59, 159, 79, 179)(62, 162, 81, 181)(65, 165, 70, 170)(66, 166, 73, 173)(67, 167, 84, 184)(71, 171, 86, 186)(74, 174, 89, 189)(77, 177, 90, 190)(80, 180, 82, 182)(83, 183, 87, 187)(85, 185, 95, 195)(88, 188, 97, 197)(91, 191, 92, 192)(93, 193, 96, 196)(94, 194, 100, 200)(98, 198, 99, 199)(201, 202, 205, 203)(204, 208, 215, 209)(206, 211, 220, 212)(207, 213, 223, 214)(210, 218, 229, 219)(216, 225, 237, 227)(217, 228, 233, 221)(222, 234, 243, 230)(224, 231, 244, 236)(226, 238, 253, 239)(232, 245, 262, 246)(235, 249, 267, 250)(240, 256, 273, 254)(241, 255, 274, 257)(242, 258, 277, 259)(247, 265, 282, 263)(248, 264, 283, 266)(251, 270, 276, 268)(252, 269, 285, 271)(260, 275, 286, 278)(261, 279, 291, 280)(272, 287, 296, 288)(281, 292, 299, 293)(284, 289, 297, 294)(290, 295, 300, 298)(301, 303, 305, 302)(304, 309, 315, 308)(306, 312, 320, 311)(307, 314, 323, 313)(310, 319, 329, 318)(316, 327, 337, 325)(317, 321, 333, 328)(322, 330, 343, 334)(324, 336, 344, 331)(326, 339, 353, 338)(332, 346, 362, 345)(335, 350, 367, 349)(340, 354, 373, 356)(341, 357, 374, 355)(342, 359, 377, 358)(347, 363, 382, 365)(348, 366, 383, 364)(351, 368, 376, 370)(352, 371, 385, 369)(360, 378, 386, 375)(361, 380, 391, 379)(372, 388, 396, 387)(381, 393, 399, 392)(384, 394, 397, 389)(390, 398, 400, 395)
	L = (1, 201)(2, 202)(3, 203)(4, 204)(5, 205)(6, 206)(7, 207)(8, 208)(9, 209)(10, 210)(11, 211)(12, 212)(13, 213)(14, 214)(15, 215)(16, 216)(17, 217)(18, 218)(19, 219)(20, 220)(21, 221)(22, 222)(23, 223)(24, 224)(25, 225)(26, 226)(27, 227)(28, 228)(29, 229)(30, 230)(31, 231)(32, 232)(33, 233)(34, 234)(35, 235)(36, 236)(37, 237)(38, 238)(39, 239)(40, 240)(41, 241)(42, 242)(43, 243)(44, 244)(45, 245)(46, 246)(47, 247)(48, 248)(49, 249)(50, 250)(51, 251)(52, 252)(53, 253)(54, 254)(55, 255)(56, 256)(57, 257)(58, 258)(59, 259)(60, 260)(61, 261)(62, 262)(63, 263)(64, 264)(65, 265)(66, 266)(67, 267)(68, 268)(69, 269)(70, 270)(71, 271)(72, 272)(73, 273)(74, 274)(75, 275)(76, 276)(77, 277)(78, 278)(79, 279)(80, 280)(81, 281)(82, 282)(83, 283)(84, 284)(85, 285)(86, 286)(87, 287)(88, 288)(89, 289)(90, 290)(91, 291)(92, 292)(93, 293)(94, 294)(95, 295)(96, 296)(97, 297)(98, 298)(99, 299)(100, 300)(101, 301)(102, 302)(103, 303)(104, 304)(105, 305)(106, 306)(107, 307)(108, 308)(109, 309)(110, 310)(111, 311)(112, 312)(113, 313)(114, 314)(115, 315)(116, 316)(117, 317)(118, 318)(119, 319)(120, 320)(121, 321)(122, 322)(123, 323)(124, 324)(125, 325)(126, 326)(127, 327)(128, 328)(129, 329)(130, 330)(131, 331)(132, 332)(133, 333)(134, 334)(135, 335)(136, 336)(137, 337)(138, 338)(139, 339)(140, 340)(141, 341)(142, 342)(143, 343)(144, 344)(145, 345)(146, 346)(147, 347)(148, 348)(149, 349)(150, 350)(151, 351)(152, 352)(153, 353)(154, 354)(155, 355)(156, 356)(157, 357)(158, 358)(159, 359)(160, 360)(161, 361)(162, 362)(163, 363)(164, 364)(165, 365)(166, 366)(167, 367)(168, 368)(169, 369)(170, 370)(171, 371)(172, 372)(173, 373)(174, 374)(175, 375)(176, 376)(177, 377)(178, 378)(179, 379)(180, 380)(181, 381)(182, 382)(183, 383)(184, 384)(185, 385)(186, 386)(187, 387)(188, 388)(189, 389)(190, 390)(191, 391)(192, 392)(193, 393)(194, 394)(195, 395)(196, 396)(197, 397)(198, 398)(199, 399)(200, 400)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E26.1179
Graph:: simple bipartite
	v = 100 e = 200 f = 50
	degree seq :: [ 4^100 ]

E26.1177 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C25 : C4 (small group id <100, 3>)
Aut   = C2 x (C25 : C4) (small group id <200, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y2, R * Y1 * R * Y2, (R * Y3)^2, Y1^-2 * Y2 * Y1^-1, Y2^4, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2, Y1^2 * Y3 * Y2 * Y3 * Y2^-1 * Y1^-2 * Y3 * Y1^-1 * Y3 * Y2^-1, Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3, Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 ]
Map:: non-degenerate
	R = (1, 101, 4, 104)(2, 102, 6, 106)(3, 103, 7, 107)(5, 105, 10, 110)(8, 108, 16, 116)(9, 109, 17, 117)(11, 111, 21, 121)(12, 112, 22, 122)(13, 113, 24, 124)(14, 114, 25, 125)(15, 115, 26, 126)(18, 118, 30, 130)(19, 119, 31, 131)(20, 120, 32, 132)(23, 123, 35, 135)(27, 127, 40, 140)(28, 128, 41, 141)(29, 129, 42, 142)(33, 133, 47, 147)(34, 134, 48, 148)(36, 136, 51, 151)(37, 137, 52, 152)(38, 138, 54, 154)(39, 139, 55, 155)(43, 143, 60, 160)(44, 144, 61, 161)(45, 145, 63, 163)(46, 146, 64, 164)(49, 149, 68, 168)(50, 150, 69, 169)(53, 153, 72, 172)(56, 156, 75, 175)(57, 157, 76, 176)(58, 158, 78, 178)(59, 159, 79, 179)(62, 162, 81, 181)(65, 165, 83, 183)(66, 166, 71, 171)(67, 167, 84, 184)(70, 170, 74, 174)(73, 173, 89, 189)(77, 177, 90, 190)(80, 180, 86, 186)(82, 182, 93, 193)(85, 185, 88, 188)(87, 187, 97, 197)(91, 191, 95, 195)(92, 192, 99, 199)(94, 194, 96, 196)(98, 198, 100, 200)(201, 202, 205, 203)(204, 208, 215, 209)(206, 211, 220, 212)(207, 213, 223, 214)(210, 218, 229, 219)(216, 225, 237, 227)(217, 228, 233, 221)(222, 234, 243, 230)(224, 231, 244, 236)(226, 238, 253, 239)(232, 245, 262, 246)(235, 249, 267, 250)(240, 256, 273, 254)(241, 255, 274, 257)(242, 258, 277, 259)(247, 265, 282, 263)(248, 264, 275, 266)(251, 270, 285, 268)(252, 269, 286, 271)(260, 280, 291, 278)(261, 279, 283, 276)(272, 287, 296, 288)(281, 292, 297, 289)(284, 294, 300, 295)(290, 298, 299, 293)(301, 303, 305, 302)(304, 309, 315, 308)(306, 312, 320, 311)(307, 314, 323, 313)(310, 319, 329, 318)(316, 327, 337, 325)(317, 321, 333, 328)(322, 330, 343, 334)(324, 336, 344, 331)(326, 339, 353, 338)(332, 346, 362, 345)(335, 350, 367, 349)(340, 354, 373, 356)(341, 357, 374, 355)(342, 359, 377, 358)(347, 363, 382, 365)(348, 366, 375, 364)(351, 368, 385, 370)(352, 371, 386, 369)(360, 378, 391, 380)(361, 376, 383, 379)(372, 388, 396, 387)(381, 389, 397, 392)(384, 395, 400, 394)(390, 393, 399, 398)
	L = (1, 201)(2, 202)(3, 203)(4, 204)(5, 205)(6, 206)(7, 207)(8, 208)(9, 209)(10, 210)(11, 211)(12, 212)(13, 213)(14, 214)(15, 215)(16, 216)(17, 217)(18, 218)(19, 219)(20, 220)(21, 221)(22, 222)(23, 223)(24, 224)(25, 225)(26, 226)(27, 227)(28, 228)(29, 229)(30, 230)(31, 231)(32, 232)(33, 233)(34, 234)(35, 235)(36, 236)(37, 237)(38, 238)(39, 239)(40, 240)(41, 241)(42, 242)(43, 243)(44, 244)(45, 245)(46, 246)(47, 247)(48, 248)(49, 249)(50, 250)(51, 251)(52, 252)(53, 253)(54, 254)(55, 255)(56, 256)(57, 257)(58, 258)(59, 259)(60, 260)(61, 261)(62, 262)(63, 263)(64, 264)(65, 265)(66, 266)(67, 267)(68, 268)(69, 269)(70, 270)(71, 271)(72, 272)(73, 273)(74, 274)(75, 275)(76, 276)(77, 277)(78, 278)(79, 279)(80, 280)(81, 281)(82, 282)(83, 283)(84, 284)(85, 285)(86, 286)(87, 287)(88, 288)(89, 289)(90, 290)(91, 291)(92, 292)(93, 293)(94, 294)(95, 295)(96, 296)(97, 297)(98, 298)(99, 299)(100, 300)(101, 301)(102, 302)(103, 303)(104, 304)(105, 305)(106, 306)(107, 307)(108, 308)(109, 309)(110, 310)(111, 311)(112, 312)(113, 313)(114, 314)(115, 315)(116, 316)(117, 317)(118, 318)(119, 319)(120, 320)(121, 321)(122, 322)(123, 323)(124, 324)(125, 325)(126, 326)(127, 327)(128, 328)(129, 329)(130, 330)(131, 331)(132, 332)(133, 333)(134, 334)(135, 335)(136, 336)(137, 337)(138, 338)(139, 339)(140, 340)(141, 341)(142, 342)(143, 343)(144, 344)(145, 345)(146, 346)(147, 347)(148, 348)(149, 349)(150, 350)(151, 351)(152, 352)(153, 353)(154, 354)(155, 355)(156, 356)(157, 357)(158, 358)(159, 359)(160, 360)(161, 361)(162, 362)(163, 363)(164, 364)(165, 365)(166, 366)(167, 367)(168, 368)(169, 369)(170, 370)(171, 371)(172, 372)(173, 373)(174, 374)(175, 375)(176, 376)(177, 377)(178, 378)(179, 379)(180, 380)(181, 381)(182, 382)(183, 383)(184, 384)(185, 385)(186, 386)(187, 387)(188, 388)(189, 389)(190, 390)(191, 391)(192, 392)(193, 393)(194, 394)(195, 395)(196, 396)(197, 397)(198, 398)(199, 399)(200, 400)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E26.1178
Graph:: simple bipartite
	v = 100 e = 200 f = 50
	degree seq :: [ 4^100 ]

E26.1178 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C25 : C4 (small group id <100, 3>)
Aut   = C2 x (C25 : C4) (small group id <200, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y2, Y2^4, Y1^2 * Y2^-2, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1^-1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2, Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 ]
Map:: non-degenerate
	R = (1, 101, 201, 301, 4, 104, 204, 304)(2, 102, 202, 302, 6, 106, 206, 306)(3, 103, 203, 303, 7, 107, 207, 307)(5, 105, 205, 305, 10, 110, 210, 310)(8, 108, 208, 308, 16, 116, 216, 316)(9, 109, 209, 309, 17, 117, 217, 317)(11, 111, 211, 311, 21, 121, 221, 321)(12, 112, 212, 312, 22, 122, 222, 322)(13, 113, 213, 313, 24, 124, 224, 324)(14, 114, 214, 314, 25, 125, 225, 325)(15, 115, 215, 315, 26, 126, 226, 326)(18, 118, 218, 318, 30, 130, 230, 330)(19, 119, 219, 319, 31, 131, 231, 331)(20, 120, 220, 320, 32, 132, 232, 332)(23, 123, 223, 323, 35, 135, 235, 335)(27, 127, 227, 327, 40, 140, 240, 340)(28, 128, 228, 328, 41, 141, 241, 341)(29, 129, 229, 329, 42, 142, 242, 342)(33, 133, 233, 333, 47, 147, 247, 347)(34, 134, 234, 334, 48, 148, 248, 348)(36, 136, 236, 336, 51, 151, 251, 351)(37, 137, 237, 337, 52, 152, 252, 352)(38, 138, 238, 338, 54, 154, 254, 354)(39, 139, 239, 339, 55, 155, 255, 355)(43, 143, 243, 343, 60, 160, 260, 360)(44, 144, 244, 344, 61, 161, 261, 361)(45, 145, 245, 345, 63, 163, 263, 363)(46, 146, 246, 346, 64, 164, 264, 364)(49, 149, 249, 349, 68, 168, 268, 368)(50, 150, 250, 350, 69, 169, 269, 369)(53, 153, 253, 353, 72, 172, 272, 372)(56, 156, 256, 356, 75, 175, 275, 375)(57, 157, 257, 357, 76, 176, 276, 376)(58, 158, 258, 358, 78, 178, 278, 378)(59, 159, 259, 359, 79, 179, 279, 379)(62, 162, 262, 362, 81, 181, 281, 381)(65, 165, 265, 365, 70, 170, 270, 370)(66, 166, 266, 366, 73, 173, 273, 373)(67, 167, 267, 367, 84, 184, 284, 384)(71, 171, 271, 371, 86, 186, 286, 386)(74, 174, 274, 374, 89, 189, 289, 389)(77, 177, 277, 377, 90, 190, 290, 390)(80, 180, 280, 380, 82, 182, 282, 382)(83, 183, 283, 383, 87, 187, 287, 387)(85, 185, 285, 385, 95, 195, 295, 395)(88, 188, 288, 388, 97, 197, 297, 397)(91, 191, 291, 391, 92, 192, 292, 392)(93, 193, 293, 393, 96, 196, 296, 396)(94, 194, 294, 394, 100, 200, 300, 400)(98, 198, 298, 398, 99, 199, 299, 399)
	L = (1, 102)(2, 105)(3, 101)(4, 108)(5, 103)(6, 111)(7, 113)(8, 115)(9, 104)(10, 118)(11, 120)(12, 106)(13, 123)(14, 107)(15, 109)(16, 125)(17, 128)(18, 129)(19, 110)(20, 112)(21, 117)(22, 134)(23, 114)(24, 131)(25, 137)(26, 138)(27, 116)(28, 133)(29, 119)(30, 122)(31, 144)(32, 145)(33, 121)(34, 143)(35, 149)(36, 124)(37, 127)(38, 153)(39, 126)(40, 156)(41, 155)(42, 158)(43, 130)(44, 136)(45, 162)(46, 132)(47, 165)(48, 164)(49, 167)(50, 135)(51, 170)(52, 169)(53, 139)(54, 140)(55, 174)(56, 173)(57, 141)(58, 177)(59, 142)(60, 175)(61, 179)(62, 146)(63, 147)(64, 183)(65, 182)(66, 148)(67, 150)(68, 151)(69, 185)(70, 176)(71, 152)(72, 187)(73, 154)(74, 157)(75, 186)(76, 168)(77, 159)(78, 160)(79, 191)(80, 161)(81, 192)(82, 163)(83, 166)(84, 189)(85, 171)(86, 178)(87, 196)(88, 172)(89, 197)(90, 195)(91, 180)(92, 199)(93, 181)(94, 184)(95, 200)(96, 188)(97, 194)(98, 190)(99, 193)(100, 198)(201, 303)(202, 301)(203, 305)(204, 309)(205, 302)(206, 312)(207, 314)(208, 304)(209, 315)(210, 319)(211, 306)(212, 320)(213, 307)(214, 323)(215, 308)(216, 327)(217, 321)(218, 310)(219, 329)(220, 311)(221, 333)(222, 330)(223, 313)(224, 336)(225, 316)(226, 339)(227, 337)(228, 317)(229, 318)(230, 343)(231, 324)(232, 346)(233, 328)(234, 322)(235, 350)(236, 344)(237, 325)(238, 326)(239, 353)(240, 354)(241, 357)(242, 359)(243, 334)(244, 331)(245, 332)(246, 362)(247, 363)(248, 366)(249, 335)(250, 367)(251, 368)(252, 371)(253, 338)(254, 373)(255, 341)(256, 340)(257, 374)(258, 342)(259, 377)(260, 378)(261, 380)(262, 345)(263, 382)(264, 348)(265, 347)(266, 383)(267, 349)(268, 376)(269, 352)(270, 351)(271, 385)(272, 388)(273, 356)(274, 355)(275, 360)(276, 370)(277, 358)(278, 386)(279, 361)(280, 391)(281, 393)(282, 365)(283, 364)(284, 394)(285, 369)(286, 375)(287, 372)(288, 396)(289, 384)(290, 398)(291, 379)(292, 381)(293, 399)(294, 397)(295, 390)(296, 387)(297, 389)(298, 400)(299, 392)(300, 395)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E26.1177
Transitivity :: VT+
Graph:: bipartite
	v = 50 e = 200 f = 100
	degree seq :: [ 8^50 ]

E26.1179 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C25 : C4 (small group id <100, 3>)
Aut   = C2 x (C25 : C4) (small group id <200, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y2, R * Y1 * R * Y2, (R * Y3)^2, Y1^-2 * Y2 * Y1^-1, Y2^4, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2, Y1^2 * Y3 * Y2 * Y3 * Y2^-1 * Y1^-2 * Y3 * Y1^-1 * Y3 * Y2^-1, Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3, Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 ]
Map:: non-degenerate
	R = (1, 101, 201, 301, 4, 104, 204, 304)(2, 102, 202, 302, 6, 106, 206, 306)(3, 103, 203, 303, 7, 107, 207, 307)(5, 105, 205, 305, 10, 110, 210, 310)(8, 108, 208, 308, 16, 116, 216, 316)(9, 109, 209, 309, 17, 117, 217, 317)(11, 111, 211, 311, 21, 121, 221, 321)(12, 112, 212, 312, 22, 122, 222, 322)(13, 113, 213, 313, 24, 124, 224, 324)(14, 114, 214, 314, 25, 125, 225, 325)(15, 115, 215, 315, 26, 126, 226, 326)(18, 118, 218, 318, 30, 130, 230, 330)(19, 119, 219, 319, 31, 131, 231, 331)(20, 120, 220, 320, 32, 132, 232, 332)(23, 123, 223, 323, 35, 135, 235, 335)(27, 127, 227, 327, 40, 140, 240, 340)(28, 128, 228, 328, 41, 141, 241, 341)(29, 129, 229, 329, 42, 142, 242, 342)(33, 133, 233, 333, 47, 147, 247, 347)(34, 134, 234, 334, 48, 148, 248, 348)(36, 136, 236, 336, 51, 151, 251, 351)(37, 137, 237, 337, 52, 152, 252, 352)(38, 138, 238, 338, 54, 154, 254, 354)(39, 139, 239, 339, 55, 155, 255, 355)(43, 143, 243, 343, 60, 160, 260, 360)(44, 144, 244, 344, 61, 161, 261, 361)(45, 145, 245, 345, 63, 163, 263, 363)(46, 146, 246, 346, 64, 164, 264, 364)(49, 149, 249, 349, 68, 168, 268, 368)(50, 150, 250, 350, 69, 169, 269, 369)(53, 153, 253, 353, 72, 172, 272, 372)(56, 156, 256, 356, 75, 175, 275, 375)(57, 157, 257, 357, 76, 176, 276, 376)(58, 158, 258, 358, 78, 178, 278, 378)(59, 159, 259, 359, 79, 179, 279, 379)(62, 162, 262, 362, 81, 181, 281, 381)(65, 165, 265, 365, 83, 183, 283, 383)(66, 166, 266, 366, 71, 171, 271, 371)(67, 167, 267, 367, 84, 184, 284, 384)(70, 170, 270, 370, 74, 174, 274, 374)(73, 173, 273, 373, 89, 189, 289, 389)(77, 177, 277, 377, 90, 190, 290, 390)(80, 180, 280, 380, 86, 186, 286, 386)(82, 182, 282, 382, 93, 193, 293, 393)(85, 185, 285, 385, 88, 188, 288, 388)(87, 187, 287, 387, 97, 197, 297, 397)(91, 191, 291, 391, 95, 195, 295, 395)(92, 192, 292, 392, 99, 199, 299, 399)(94, 194, 294, 394, 96, 196, 296, 396)(98, 198, 298, 398, 100, 200, 300, 400)
	L = (1, 102)(2, 105)(3, 101)(4, 108)(5, 103)(6, 111)(7, 113)(8, 115)(9, 104)(10, 118)(11, 120)(12, 106)(13, 123)(14, 107)(15, 109)(16, 125)(17, 128)(18, 129)(19, 110)(20, 112)(21, 117)(22, 134)(23, 114)(24, 131)(25, 137)(26, 138)(27, 116)(28, 133)(29, 119)(30, 122)(31, 144)(32, 145)(33, 121)(34, 143)(35, 149)(36, 124)(37, 127)(38, 153)(39, 126)(40, 156)(41, 155)(42, 158)(43, 130)(44, 136)(45, 162)(46, 132)(47, 165)(48, 164)(49, 167)(50, 135)(51, 170)(52, 169)(53, 139)(54, 140)(55, 174)(56, 173)(57, 141)(58, 177)(59, 142)(60, 180)(61, 179)(62, 146)(63, 147)(64, 175)(65, 182)(66, 148)(67, 150)(68, 151)(69, 186)(70, 185)(71, 152)(72, 187)(73, 154)(74, 157)(75, 166)(76, 161)(77, 159)(78, 160)(79, 183)(80, 191)(81, 192)(82, 163)(83, 176)(84, 194)(85, 168)(86, 171)(87, 196)(88, 172)(89, 181)(90, 198)(91, 178)(92, 197)(93, 190)(94, 200)(95, 184)(96, 188)(97, 189)(98, 199)(99, 193)(100, 195)(201, 303)(202, 301)(203, 305)(204, 309)(205, 302)(206, 312)(207, 314)(208, 304)(209, 315)(210, 319)(211, 306)(212, 320)(213, 307)(214, 323)(215, 308)(216, 327)(217, 321)(218, 310)(219, 329)(220, 311)(221, 333)(222, 330)(223, 313)(224, 336)(225, 316)(226, 339)(227, 337)(228, 317)(229, 318)(230, 343)(231, 324)(232, 346)(233, 328)(234, 322)(235, 350)(236, 344)(237, 325)(238, 326)(239, 353)(240, 354)(241, 357)(242, 359)(243, 334)(244, 331)(245, 332)(246, 362)(247, 363)(248, 366)(249, 335)(250, 367)(251, 368)(252, 371)(253, 338)(254, 373)(255, 341)(256, 340)(257, 374)(258, 342)(259, 377)(260, 378)(261, 376)(262, 345)(263, 382)(264, 348)(265, 347)(266, 375)(267, 349)(268, 385)(269, 352)(270, 351)(271, 386)(272, 388)(273, 356)(274, 355)(275, 364)(276, 383)(277, 358)(278, 391)(279, 361)(280, 360)(281, 389)(282, 365)(283, 379)(284, 395)(285, 370)(286, 369)(287, 372)(288, 396)(289, 397)(290, 393)(291, 380)(292, 381)(293, 399)(294, 384)(295, 400)(296, 387)(297, 392)(298, 390)(299, 398)(300, 394)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E26.1176
Transitivity :: VT+
Graph:: bipartite
	v = 50 e = 200 f = 100
	degree seq :: [ 8^50 ]

E26.1180 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C5 x C5) : C4 (small group id <100, 11>)
Aut   = ((C5 x C5) : C4) : C2 (small group id <200, 42>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^4, (Y2^-1 * Y1)^2, Y1^4, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y1 * Y2^-2 * Y1^-2, (Y1 * Y3 * Y2)^2, (Y1^-1 * Y3 * Y2^-1)^2, Y2^2 * Y3 * Y2^-1 * Y3 * Y2 * Y3, Y1 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3, (Y3 * Y2 * Y3 * Y1^-1)^2, Y1^-1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y2^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 101, 4, 104)(2, 102, 9, 109)(3, 103, 13, 113)(5, 105, 19, 119)(6, 106, 21, 121)(7, 107, 24, 124)(8, 108, 28, 128)(10, 110, 33, 133)(11, 111, 35, 135)(12, 112, 37, 137)(14, 114, 44, 144)(15, 115, 48, 148)(16, 116, 50, 150)(17, 117, 51, 151)(18, 118, 52, 152)(20, 120, 46, 146)(22, 122, 43, 143)(23, 123, 59, 159)(25, 125, 63, 163)(26, 126, 65, 165)(27, 127, 66, 166)(29, 129, 53, 153)(30, 130, 74, 174)(31, 131, 42, 142)(32, 132, 76, 176)(34, 134, 71, 171)(36, 136, 82, 182)(38, 138, 85, 185)(39, 139, 87, 187)(40, 140, 89, 189)(41, 141, 58, 158)(45, 145, 93, 193)(47, 147, 57, 157)(49, 149, 95, 195)(54, 154, 97, 197)(55, 155, 91, 191)(56, 156, 96, 196)(60, 160, 99, 199)(61, 161, 70, 170)(62, 162, 81, 181)(64, 164, 92, 192)(67, 167, 84, 184)(68, 168, 88, 188)(69, 169, 79, 179)(72, 172, 98, 198)(73, 173, 78, 178)(75, 175, 83, 183)(77, 177, 80, 180)(86, 186, 90, 190)(94, 194, 100, 200)(201, 202, 207, 205)(203, 211, 234, 210)(204, 214, 242, 216)(206, 218, 227, 222)(208, 226, 264, 225)(209, 229, 270, 231)(212, 236, 220, 223)(213, 238, 284, 240)(215, 246, 269, 245)(217, 249, 268, 228)(219, 253, 250, 255)(221, 256, 272, 230)(224, 244, 291, 261)(232, 275, 293, 259)(233, 277, 289, 260)(235, 280, 247, 267)(237, 279, 300, 283)(239, 266, 296, 286)(241, 288, 254, 263)(243, 281, 274, 290)(248, 294, 282, 276)(251, 297, 278, 292)(252, 262, 287, 298)(257, 271, 285, 299)(258, 273, 295, 265)(301, 303, 312, 306)(302, 308, 327, 310)(304, 315, 347, 317)(305, 318, 326, 320)(307, 323, 311, 325)(309, 330, 373, 332)(313, 339, 348, 341)(314, 343, 368, 345)(316, 349, 381, 335)(319, 354, 386, 338)(321, 357, 370, 358)(322, 336, 364, 334)(324, 360, 400, 362)(328, 367, 374, 369)(329, 371, 393, 372)(331, 375, 385, 365)(333, 378, 391, 379)(337, 361, 387, 351)(340, 388, 353, 382)(342, 380, 346, 390)(344, 392, 398, 389)(350, 396, 363, 394)(352, 383, 397, 377)(355, 384, 376, 366)(356, 359, 395, 399)
	L = (1, 201)(2, 202)(3, 203)(4, 204)(5, 205)(6, 206)(7, 207)(8, 208)(9, 209)(10, 210)(11, 211)(12, 212)(13, 213)(14, 214)(15, 215)(16, 216)(17, 217)(18, 218)(19, 219)(20, 220)(21, 221)(22, 222)(23, 223)(24, 224)(25, 225)(26, 226)(27, 227)(28, 228)(29, 229)(30, 230)(31, 231)(32, 232)(33, 233)(34, 234)(35, 235)(36, 236)(37, 237)(38, 238)(39, 239)(40, 240)(41, 241)(42, 242)(43, 243)(44, 244)(45, 245)(46, 246)(47, 247)(48, 248)(49, 249)(50, 250)(51, 251)(52, 252)(53, 253)(54, 254)(55, 255)(56, 256)(57, 257)(58, 258)(59, 259)(60, 260)(61, 261)(62, 262)(63, 263)(64, 264)(65, 265)(66, 266)(67, 267)(68, 268)(69, 269)(70, 270)(71, 271)(72, 272)(73, 273)(74, 274)(75, 275)(76, 276)(77, 277)(78, 278)(79, 279)(80, 280)(81, 281)(82, 282)(83, 283)(84, 284)(85, 285)(86, 286)(87, 287)(88, 288)(89, 289)(90, 290)(91, 291)(92, 292)(93, 293)(94, 294)(95, 295)(96, 296)(97, 297)(98, 298)(99, 299)(100, 300)(101, 301)(102, 302)(103, 303)(104, 304)(105, 305)(106, 306)(107, 307)(108, 308)(109, 309)(110, 310)(111, 311)(112, 312)(113, 313)(114, 314)(115, 315)(116, 316)(117, 317)(118, 318)(119, 319)(120, 320)(121, 321)(122, 322)(123, 323)(124, 324)(125, 325)(126, 326)(127, 327)(128, 328)(129, 329)(130, 330)(131, 331)(132, 332)(133, 333)(134, 334)(135, 335)(136, 336)(137, 337)(138, 338)(139, 339)(140, 340)(141, 341)(142, 342)(143, 343)(144, 344)(145, 345)(146, 346)(147, 347)(148, 348)(149, 349)(150, 350)(151, 351)(152, 352)(153, 353)(154, 354)(155, 355)(156, 356)(157, 357)(158, 358)(159, 359)(160, 360)(161, 361)(162, 362)(163, 363)(164, 364)(165, 365)(166, 366)(167, 367)(168, 368)(169, 369)(170, 370)(171, 371)(172, 372)(173, 373)(174, 374)(175, 375)(176, 376)(177, 377)(178, 378)(179, 379)(180, 380)(181, 381)(182, 382)(183, 383)(184, 384)(185, 385)(186, 386)(187, 387)(188, 388)(189, 389)(190, 390)(191, 391)(192, 392)(193, 393)(194, 394)(195, 395)(196, 396)(197, 397)(198, 398)(199, 399)(200, 400)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E26.1181
Graph:: simple bipartite
	v = 100 e = 200 f = 50
	degree seq :: [ 4^100 ]

E26.1181 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C5 x C5) : C4 (small group id <100, 11>)
Aut   = ((C5 x C5) : C4) : C2 (small group id <200, 42>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^4, (Y2^-1 * Y1)^2, Y1^4, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y1 * Y2^-2 * Y1^-2, (Y1 * Y3 * Y2)^2, (Y1^-1 * Y3 * Y2^-1)^2, Y2^2 * Y3 * Y2^-1 * Y3 * Y2 * Y3, Y1 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3, (Y3 * Y2 * Y3 * Y1^-1)^2, Y1^-1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y2^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 101, 201, 301, 4, 104, 204, 304)(2, 102, 202, 302, 9, 109, 209, 309)(3, 103, 203, 303, 13, 113, 213, 313)(5, 105, 205, 305, 19, 119, 219, 319)(6, 106, 206, 306, 21, 121, 221, 321)(7, 107, 207, 307, 24, 124, 224, 324)(8, 108, 208, 308, 28, 128, 228, 328)(10, 110, 210, 310, 33, 133, 233, 333)(11, 111, 211, 311, 35, 135, 235, 335)(12, 112, 212, 312, 37, 137, 237, 337)(14, 114, 214, 314, 44, 144, 244, 344)(15, 115, 215, 315, 48, 148, 248, 348)(16, 116, 216, 316, 50, 150, 250, 350)(17, 117, 217, 317, 51, 151, 251, 351)(18, 118, 218, 318, 52, 152, 252, 352)(20, 120, 220, 320, 46, 146, 246, 346)(22, 122, 222, 322, 43, 143, 243, 343)(23, 123, 223, 323, 59, 159, 259, 359)(25, 125, 225, 325, 63, 163, 263, 363)(26, 126, 226, 326, 65, 165, 265, 365)(27, 127, 227, 327, 66, 166, 266, 366)(29, 129, 229, 329, 53, 153, 253, 353)(30, 130, 230, 330, 74, 174, 274, 374)(31, 131, 231, 331, 42, 142, 242, 342)(32, 132, 232, 332, 76, 176, 276, 376)(34, 134, 234, 334, 71, 171, 271, 371)(36, 136, 236, 336, 82, 182, 282, 382)(38, 138, 238, 338, 85, 185, 285, 385)(39, 139, 239, 339, 87, 187, 287, 387)(40, 140, 240, 340, 89, 189, 289, 389)(41, 141, 241, 341, 58, 158, 258, 358)(45, 145, 245, 345, 93, 193, 293, 393)(47, 147, 247, 347, 57, 157, 257, 357)(49, 149, 249, 349, 95, 195, 295, 395)(54, 154, 254, 354, 97, 197, 297, 397)(55, 155, 255, 355, 91, 191, 291, 391)(56, 156, 256, 356, 96, 196, 296, 396)(60, 160, 260, 360, 99, 199, 299, 399)(61, 161, 261, 361, 70, 170, 270, 370)(62, 162, 262, 362, 81, 181, 281, 381)(64, 164, 264, 364, 92, 192, 292, 392)(67, 167, 267, 367, 84, 184, 284, 384)(68, 168, 268, 368, 88, 188, 288, 388)(69, 169, 269, 369, 79, 179, 279, 379)(72, 172, 272, 372, 98, 198, 298, 398)(73, 173, 273, 373, 78, 178, 278, 378)(75, 175, 275, 375, 83, 183, 283, 383)(77, 177, 277, 377, 80, 180, 280, 380)(86, 186, 286, 386, 90, 190, 290, 390)(94, 194, 294, 394, 100, 200, 300, 400)
	L = (1, 102)(2, 107)(3, 111)(4, 114)(5, 101)(6, 118)(7, 105)(8, 126)(9, 129)(10, 103)(11, 134)(12, 136)(13, 138)(14, 142)(15, 146)(16, 104)(17, 149)(18, 127)(19, 153)(20, 123)(21, 156)(22, 106)(23, 112)(24, 144)(25, 108)(26, 164)(27, 122)(28, 117)(29, 170)(30, 121)(31, 109)(32, 175)(33, 177)(34, 110)(35, 180)(36, 120)(37, 179)(38, 184)(39, 166)(40, 113)(41, 188)(42, 116)(43, 181)(44, 191)(45, 115)(46, 169)(47, 167)(48, 194)(49, 168)(50, 155)(51, 197)(52, 162)(53, 150)(54, 163)(55, 119)(56, 172)(57, 171)(58, 173)(59, 132)(60, 133)(61, 124)(62, 187)(63, 141)(64, 125)(65, 158)(66, 196)(67, 135)(68, 128)(69, 145)(70, 131)(71, 185)(72, 130)(73, 195)(74, 190)(75, 193)(76, 148)(77, 189)(78, 192)(79, 200)(80, 147)(81, 174)(82, 176)(83, 137)(84, 140)(85, 199)(86, 139)(87, 198)(88, 154)(89, 160)(90, 143)(91, 161)(92, 151)(93, 159)(94, 182)(95, 165)(96, 186)(97, 178)(98, 152)(99, 157)(100, 183)(201, 303)(202, 308)(203, 312)(204, 315)(205, 318)(206, 301)(207, 323)(208, 327)(209, 330)(210, 302)(211, 325)(212, 306)(213, 339)(214, 343)(215, 347)(216, 349)(217, 304)(218, 326)(219, 354)(220, 305)(221, 357)(222, 336)(223, 311)(224, 360)(225, 307)(226, 320)(227, 310)(228, 367)(229, 371)(230, 373)(231, 375)(232, 309)(233, 378)(234, 322)(235, 316)(236, 364)(237, 361)(238, 319)(239, 348)(240, 388)(241, 313)(242, 380)(243, 368)(244, 392)(245, 314)(246, 390)(247, 317)(248, 341)(249, 381)(250, 396)(251, 337)(252, 383)(253, 382)(254, 386)(255, 384)(256, 359)(257, 370)(258, 321)(259, 395)(260, 400)(261, 387)(262, 324)(263, 394)(264, 334)(265, 331)(266, 355)(267, 374)(268, 345)(269, 328)(270, 358)(271, 393)(272, 329)(273, 332)(274, 369)(275, 385)(276, 366)(277, 352)(278, 391)(279, 333)(280, 346)(281, 335)(282, 340)(283, 397)(284, 376)(285, 365)(286, 338)(287, 351)(288, 353)(289, 344)(290, 342)(291, 379)(292, 398)(293, 372)(294, 350)(295, 399)(296, 363)(297, 377)(298, 389)(299, 356)(300, 362)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E26.1180
Transitivity :: VT+
Graph:: simple bipartite
	v = 50 e = 200 f = 100
	degree seq :: [ 8^50 ]

E26.1182 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C5 x C5) : C4 (small group id <100, 12>)
Aut   = (D10 x D10) : C2 (small group id <200, 43>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, (R * Y1)^2, R * Y3 * R * Y2, Y3 * Y1 * Y3 * Y1^2 * Y3 * Y1^-1, Y1^-2 * Y2 * Y1 * Y2 * Y1^-1 * Y2, Y3 * Y1^-2 * Y2 * Y3 * Y1^2 * Y2, (Y1 * Y2 * Y1 * Y3)^2, Y1^-1 * Y3 * Y2 * Y3 * Y1 * Y2 * Y3 * Y2, Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 102, 2, 106, 6, 105, 5, 101)(3, 109, 9, 125, 25, 111, 11, 103)(4, 112, 12, 133, 33, 114, 14, 104)(7, 119, 19, 151, 51, 121, 21, 107)(8, 122, 22, 135, 35, 124, 24, 108)(10, 128, 28, 150, 50, 130, 30, 110)(13, 136, 36, 147, 47, 138, 38, 113)(15, 141, 41, 131, 31, 143, 43, 115)(16, 144, 44, 192, 92, 146, 46, 116)(17, 126, 26, 164, 64, 148, 48, 117)(18, 149, 49, 158, 58, 140, 40, 118)(20, 153, 53, 145, 45, 155, 55, 120)(23, 159, 59, 142, 42, 161, 61, 123)(27, 166, 66, 170, 70, 168, 68, 127)(29, 171, 71, 156, 56, 173, 73, 129)(32, 177, 77, 191, 91, 157, 57, 132)(34, 179, 79, 160, 60, 180, 80, 134)(37, 154, 54, 193, 93, 185, 85, 137)(39, 187, 87, 186, 86, 152, 52, 139)(62, 178, 78, 199, 99, 165, 65, 162)(63, 182, 82, 194, 94, 175, 75, 163)(67, 184, 84, 176, 76, 195, 95, 167)(69, 190, 90, 189, 89, 197, 97, 169)(72, 188, 88, 196, 96, 181, 81, 172)(74, 200, 100, 183, 83, 198, 98, 174)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 26)(10, 29)(11, 31)(12, 34)(14, 39)(16, 45)(18, 50)(19, 41)(20, 54)(21, 25)(22, 57)(24, 62)(27, 67)(28, 69)(30, 74)(32, 78)(33, 63)(35, 81)(36, 82)(37, 84)(38, 86)(40, 89)(42, 91)(43, 64)(44, 93)(46, 66)(47, 80)(48, 51)(49, 71)(52, 94)(53, 68)(55, 95)(56, 97)(58, 98)(59, 72)(60, 75)(61, 99)(65, 88)(70, 85)(73, 83)(76, 92)(77, 96)(79, 87)(90, 100)(101, 104)(102, 108)(103, 110)(105, 116)(106, 118)(107, 120)(109, 127)(111, 132)(112, 135)(113, 137)(114, 140)(115, 142)(117, 147)(119, 152)(121, 156)(122, 158)(123, 160)(124, 146)(125, 163)(126, 165)(128, 170)(129, 172)(130, 175)(131, 176)(133, 144)(134, 169)(136, 183)(138, 178)(139, 188)(141, 190)(143, 179)(145, 173)(148, 185)(149, 192)(150, 177)(151, 181)(153, 187)(154, 174)(155, 196)(157, 168)(159, 184)(161, 197)(162, 200)(164, 198)(166, 194)(167, 189)(171, 186)(180, 195)(182, 191)(193, 199)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E26.1183
Transitivity :: VT+ AT
Graph:: simple
	v = 25 e = 100 f = 25
	degree seq :: [ 8^25 ]

E26.1183 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C5 x C5) : C4 (small group id <100, 12>)
Aut   = (D10 x D10) : C2 (small group id <200, 43>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1 * Y2 * Y1^-1 * Y3, (R * Y1)^2, Y1^4, R * Y3 * R * Y2, Y1^-2 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3, (Y1^-2 * Y2 * Y3)^2, (Y3 * Y2)^5, Y1 * Y3 * Y2 * Y3 * Y2 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3, Y1^-2 * Y3 * Y1^-1 * Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1 * Y3, (Y1 * Y3 * Y2 * Y1 * Y2 * Y3)^2 ]
Map:: polytopal non-degenerate
	R = (1, 102, 2, 106, 6, 105, 5, 101)(3, 109, 9, 121, 21, 111, 11, 103)(4, 107, 7, 117, 17, 113, 13, 104)(8, 115, 15, 133, 33, 120, 20, 108)(10, 122, 22, 135, 35, 125, 25, 110)(12, 127, 27, 134, 34, 129, 29, 112)(14, 131, 31, 136, 36, 116, 16, 114)(18, 137, 37, 126, 26, 140, 40, 118)(19, 141, 41, 132, 32, 143, 43, 119)(23, 145, 45, 177, 77, 147, 47, 123)(24, 148, 48, 178, 78, 150, 50, 124)(28, 153, 53, 165, 65, 156, 56, 128)(30, 157, 57, 166, 66, 138, 38, 130)(39, 167, 67, 158, 58, 169, 69, 139)(42, 171, 71, 183, 83, 174, 74, 142)(44, 175, 75, 181, 81, 161, 61, 144)(46, 179, 79, 152, 52, 170, 70, 146)(49, 182, 82, 197, 97, 185, 85, 149)(51, 186, 86, 193, 93, 163, 63, 151)(54, 162, 62, 180, 80, 176, 76, 154)(55, 189, 89, 196, 96, 190, 90, 155)(59, 164, 64, 192, 92, 187, 87, 159)(60, 194, 94, 191, 91, 172, 72, 160)(68, 198, 98, 188, 88, 199, 99, 168)(73, 184, 84, 195, 95, 200, 100, 173)
	L = (1, 3)(2, 7)(4, 12)(5, 14)(6, 15)(8, 19)(9, 22)(10, 24)(11, 26)(13, 30)(16, 35)(17, 37)(18, 39)(20, 44)(21, 45)(23, 46)(25, 51)(27, 53)(28, 55)(29, 33)(31, 43)(32, 60)(34, 62)(36, 64)(38, 65)(40, 70)(41, 71)(42, 73)(47, 81)(48, 82)(49, 84)(50, 77)(52, 88)(54, 75)(56, 91)(57, 69)(58, 93)(59, 86)(61, 83)(63, 97)(66, 87)(67, 98)(68, 85)(72, 92)(74, 78)(76, 79)(80, 90)(89, 95)(94, 100)(96, 99)(101, 104)(102, 108)(103, 110)(105, 111)(106, 116)(107, 118)(109, 123)(112, 128)(113, 129)(114, 132)(115, 134)(117, 138)(119, 142)(120, 143)(121, 137)(122, 136)(124, 149)(125, 150)(126, 152)(127, 154)(130, 158)(131, 159)(133, 161)(135, 163)(139, 168)(140, 169)(141, 172)(144, 176)(145, 178)(146, 180)(147, 170)(148, 183)(151, 187)(153, 166)(155, 184)(156, 190)(157, 192)(160, 195)(162, 196)(164, 191)(165, 194)(167, 186)(171, 181)(173, 185)(174, 200)(175, 177)(179, 198)(182, 193)(188, 189)(197, 199)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E26.1182
Transitivity :: VT+ AT
Graph::
	v = 25 e = 100 f = 25
	degree seq :: [ 8^25 ]

E26.1184 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C5 x C5) : C4 (small group id <100, 12>)
Aut   = (D10 x D10) : C2 (small group id <200, 43>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, Y1^4, (R * Y1)^2, R * Y3 * R * Y2, (Y2 * Y1)^4, (Y1^-1 * Y2 * Y1^-1)^5 ]
Map::
	R = (1, 102, 2, 105, 5, 104, 4, 101)(3, 107, 7, 113, 13, 108, 8, 103)(6, 111, 11, 120, 20, 112, 12, 106)(9, 116, 16, 127, 27, 117, 17, 109)(10, 118, 18, 129, 29, 119, 19, 110)(14, 124, 24, 137, 37, 125, 25, 114)(15, 126, 26, 133, 33, 121, 21, 115)(22, 134, 34, 143, 43, 130, 30, 122)(23, 135, 35, 149, 49, 136, 36, 123)(28, 131, 31, 144, 44, 141, 41, 128)(32, 145, 45, 162, 62, 146, 46, 132)(38, 153, 53, 168, 68, 150, 50, 138)(39, 151, 51, 169, 69, 154, 54, 139)(40, 155, 55, 174, 74, 156, 56, 140)(42, 158, 58, 167, 67, 159, 59, 142)(47, 165, 65, 181, 81, 163, 63, 147)(48, 164, 64, 182, 82, 166, 66, 148)(52, 170, 70, 187, 87, 171, 71, 152)(57, 176, 76, 191, 91, 175, 75, 157)(60, 179, 79, 186, 86, 177, 77, 160)(61, 178, 78, 185, 85, 180, 80, 161)(72, 188, 88, 197, 97, 189, 89, 172)(73, 190, 90, 195, 95, 183, 83, 173)(84, 196, 96, 199, 99, 193, 93, 184)(92, 194, 94, 198, 98, 200, 100, 192)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 28)(17, 24)(18, 30)(19, 31)(20, 32)(25, 38)(26, 39)(27, 40)(29, 42)(33, 47)(34, 48)(35, 50)(36, 51)(37, 52)(41, 57)(43, 60)(44, 61)(45, 63)(46, 64)(49, 67)(53, 72)(54, 73)(55, 75)(56, 70)(58, 77)(59, 78)(62, 74)(65, 83)(66, 84)(68, 85)(69, 86)(71, 88)(76, 92)(79, 93)(80, 94)(81, 87)(82, 91)(89, 98)(90, 99)(95, 97)(96, 100)(101, 103)(102, 106)(104, 109)(105, 110)(107, 114)(108, 115)(111, 121)(112, 122)(113, 123)(116, 128)(117, 124)(118, 130)(119, 131)(120, 132)(125, 138)(126, 139)(127, 140)(129, 142)(133, 147)(134, 148)(135, 150)(136, 151)(137, 152)(141, 157)(143, 160)(144, 161)(145, 163)(146, 164)(149, 167)(153, 172)(154, 173)(155, 175)(156, 170)(158, 177)(159, 178)(162, 174)(165, 183)(166, 184)(168, 185)(169, 186)(171, 188)(176, 192)(179, 193)(180, 194)(181, 187)(182, 191)(189, 198)(190, 199)(195, 197)(196, 200)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph::
	v = 25 e = 100 f = 25
	degree seq :: [ 8^25 ]

E26.1185 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C5 x C5) : C4 (small group id <100, 12>)
Aut   = (D10 x D10) : C2 (small group id <200, 43>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1, Y2 * Y3^-2 * Y2 * Y3^-1 * Y2 * Y3, (Y3^-1 * Y2 * Y1 * Y3^-1)^2, (Y2 * Y3 * Y1 * Y3)^2, Y2 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1, Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 ]
Map:: polytopal
	R = (1, 101, 4, 104, 14, 114, 5, 105)(2, 102, 7, 107, 22, 122, 8, 108)(3, 103, 10, 110, 30, 130, 11, 111)(6, 106, 18, 118, 52, 152, 19, 119)(9, 109, 26, 126, 70, 170, 27, 127)(12, 112, 34, 134, 82, 182, 35, 135)(13, 113, 37, 137, 29, 129, 38, 138)(15, 115, 42, 142, 23, 123, 43, 143)(16, 116, 45, 145, 93, 193, 46, 146)(17, 117, 48, 148, 83, 183, 49, 149)(20, 120, 56, 156, 88, 188, 39, 139)(21, 121, 58, 158, 51, 151, 59, 159)(24, 124, 63, 163, 90, 190, 64, 164)(25, 125, 66, 166, 92, 192, 67, 167)(28, 128, 72, 172, 84, 184, 73, 173)(31, 131, 76, 176, 71, 171, 77, 177)(32, 132, 40, 140, 89, 189, 79, 179)(33, 133, 80, 180, 44, 144, 81, 181)(36, 136, 85, 185, 41, 141, 86, 186)(47, 147, 75, 175, 100, 200, 74, 174)(50, 150, 91, 191, 78, 178, 94, 194)(53, 153, 95, 195, 69, 169, 96, 196)(54, 154, 60, 160, 68, 168, 97, 197)(55, 155, 87, 187, 62, 162, 98, 198)(57, 157, 65, 165, 61, 161, 99, 199)(201, 202)(203, 209)(204, 212)(205, 215)(206, 217)(207, 220)(208, 223)(210, 228)(211, 231)(213, 236)(214, 239)(216, 244)(218, 250)(219, 253)(221, 257)(222, 235)(224, 262)(225, 265)(226, 268)(227, 271)(229, 274)(230, 260)(232, 278)(233, 266)(234, 242)(237, 264)(238, 287)(240, 252)(241, 290)(243, 256)(245, 292)(246, 258)(247, 285)(248, 289)(249, 269)(251, 267)(254, 284)(255, 275)(259, 280)(261, 293)(263, 300)(270, 273)(272, 276)(277, 297)(279, 296)(281, 299)(282, 288)(283, 294)(286, 298)(291, 295)(301, 303)(302, 306)(304, 313)(305, 316)(307, 321)(308, 324)(309, 325)(310, 329)(311, 332)(312, 333)(314, 340)(315, 341)(317, 347)(318, 351)(319, 354)(320, 355)(322, 360)(323, 361)(326, 369)(327, 362)(328, 350)(330, 345)(331, 375)(334, 377)(335, 383)(336, 384)(337, 379)(338, 346)(339, 370)(342, 391)(343, 372)(344, 349)(348, 371)(352, 363)(353, 366)(356, 396)(357, 378)(358, 397)(359, 364)(365, 385)(367, 388)(368, 390)(373, 399)(374, 382)(376, 380)(381, 400)(386, 394)(387, 395)(389, 393)(392, 398)
	L = (1, 201)(2, 202)(3, 203)(4, 204)(5, 205)(6, 206)(7, 207)(8, 208)(9, 209)(10, 210)(11, 211)(12, 212)(13, 213)(14, 214)(15, 215)(16, 216)(17, 217)(18, 218)(19, 219)(20, 220)(21, 221)(22, 222)(23, 223)(24, 224)(25, 225)(26, 226)(27, 227)(28, 228)(29, 229)(30, 230)(31, 231)(32, 232)(33, 233)(34, 234)(35, 235)(36, 236)(37, 237)(38, 238)(39, 239)(40, 240)(41, 241)(42, 242)(43, 243)(44, 244)(45, 245)(46, 246)(47, 247)(48, 248)(49, 249)(50, 250)(51, 251)(52, 252)(53, 253)(54, 254)(55, 255)(56, 256)(57, 257)(58, 258)(59, 259)(60, 260)(61, 261)(62, 262)(63, 263)(64, 264)(65, 265)(66, 266)(67, 267)(68, 268)(69, 269)(70, 270)(71, 271)(72, 272)(73, 273)(74, 274)(75, 275)(76, 276)(77, 277)(78, 278)(79, 279)(80, 280)(81, 281)(82, 282)(83, 283)(84, 284)(85, 285)(86, 286)(87, 287)(88, 288)(89, 289)(90, 290)(91, 291)(92, 292)(93, 293)(94, 294)(95, 295)(96, 296)(97, 297)(98, 298)(99, 299)(100, 300)(101, 301)(102, 302)(103, 303)(104, 304)(105, 305)(106, 306)(107, 307)(108, 308)(109, 309)(110, 310)(111, 311)(112, 312)(113, 313)(114, 314)(115, 315)(116, 316)(117, 317)(118, 318)(119, 319)(120, 320)(121, 321)(122, 322)(123, 323)(124, 324)(125, 325)(126, 326)(127, 327)(128, 328)(129, 329)(130, 330)(131, 331)(132, 332)(133, 333)(134, 334)(135, 335)(136, 336)(137, 337)(138, 338)(139, 339)(140, 340)(141, 341)(142, 342)(143, 343)(144, 344)(145, 345)(146, 346)(147, 347)(148, 348)(149, 349)(150, 350)(151, 351)(152, 352)(153, 353)(154, 354)(155, 355)(156, 356)(157, 357)(158, 358)(159, 359)(160, 360)(161, 361)(162, 362)(163, 363)(164, 364)(165, 365)(166, 366)(167, 367)(168, 368)(169, 369)(170, 370)(171, 371)(172, 372)(173, 373)(174, 374)(175, 375)(176, 376)(177, 377)(178, 378)(179, 379)(180, 380)(181, 381)(182, 382)(183, 383)(184, 384)(185, 385)(186, 386)(187, 387)(188, 388)(189, 389)(190, 390)(191, 391)(192, 392)(193, 393)(194, 394)(195, 395)(196, 396)(197, 397)(198, 398)(199, 399)(200, 400)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E26.1191
Graph:: simple bipartite
	v = 125 e = 200 f = 25
	degree seq :: [ 2^100, 8^25 ]

E26.1186 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C5 x C5) : C4 (small group id <100, 12>)
Aut   = (D10 x D10) : C2 (small group id <200, 43>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3 * Y1 * Y3^-1 * Y2, (R * Y3)^2, Y3^4, R * Y1 * R * Y2, Y3 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3, (Y1 * Y2)^5, Y3^-1 * Y1 * Y3^2 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y2, Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 101, 4, 104, 13, 113, 5, 105)(2, 102, 7, 107, 19, 119, 8, 108)(3, 103, 10, 110, 25, 125, 11, 111)(6, 106, 16, 116, 37, 137, 17, 117)(9, 109, 22, 122, 49, 149, 23, 123)(12, 112, 28, 128, 50, 150, 29, 129)(14, 114, 32, 132, 36, 136, 30, 130)(15, 115, 34, 134, 65, 165, 35, 135)(18, 118, 40, 140, 66, 166, 41, 141)(20, 120, 44, 144, 24, 124, 42, 142)(21, 121, 46, 146, 80, 180, 47, 147)(26, 126, 54, 154, 79, 179, 52, 152)(27, 127, 56, 156, 31, 131, 57, 157)(33, 133, 62, 162, 96, 196, 63, 163)(38, 138, 70, 170, 88, 188, 68, 168)(39, 139, 72, 172, 43, 143, 73, 173)(45, 145, 77, 177, 99, 199, 78, 178)(48, 148, 83, 183, 71, 171, 84, 184)(51, 151, 87, 187, 53, 153, 76, 176)(55, 155, 91, 191, 64, 164, 92, 192)(58, 158, 82, 182, 74, 174, 85, 185)(59, 159, 95, 195, 81, 181, 93, 193)(60, 160, 67, 167, 89, 189, 69, 169)(61, 161, 94, 194, 100, 200, 90, 190)(75, 175, 98, 198, 86, 186, 97, 197)(201, 202)(203, 209)(204, 210)(205, 214)(206, 215)(207, 216)(208, 220)(211, 226)(212, 227)(213, 228)(217, 238)(218, 239)(219, 240)(221, 245)(222, 246)(223, 250)(224, 251)(225, 242)(229, 258)(230, 237)(231, 259)(232, 257)(233, 261)(234, 262)(235, 266)(236, 267)(241, 274)(243, 275)(244, 273)(247, 281)(248, 282)(249, 283)(252, 280)(253, 288)(254, 276)(255, 290)(256, 291)(260, 270)(263, 286)(264, 285)(265, 292)(268, 296)(269, 279)(271, 278)(272, 284)(277, 294)(287, 297)(289, 293)(295, 300)(298, 299)(301, 303)(302, 306)(304, 312)(305, 308)(307, 318)(309, 321)(310, 324)(311, 323)(313, 330)(314, 331)(315, 333)(316, 336)(317, 335)(319, 342)(320, 343)(322, 348)(325, 352)(326, 353)(327, 355)(328, 349)(329, 357)(332, 360)(334, 364)(337, 368)(338, 369)(339, 371)(340, 365)(341, 373)(344, 376)(345, 361)(346, 379)(347, 378)(350, 385)(351, 386)(354, 389)(356, 393)(358, 384)(359, 394)(362, 388)(363, 390)(366, 382)(367, 381)(370, 387)(372, 397)(374, 391)(375, 377)(380, 395)(383, 399)(392, 400)(396, 398)
	L = (1, 201)(2, 202)(3, 203)(4, 204)(5, 205)(6, 206)(7, 207)(8, 208)(9, 209)(10, 210)(11, 211)(12, 212)(13, 213)(14, 214)(15, 215)(16, 216)(17, 217)(18, 218)(19, 219)(20, 220)(21, 221)(22, 222)(23, 223)(24, 224)(25, 225)(26, 226)(27, 227)(28, 228)(29, 229)(30, 230)(31, 231)(32, 232)(33, 233)(34, 234)(35, 235)(36, 236)(37, 237)(38, 238)(39, 239)(40, 240)(41, 241)(42, 242)(43, 243)(44, 244)(45, 245)(46, 246)(47, 247)(48, 248)(49, 249)(50, 250)(51, 251)(52, 252)(53, 253)(54, 254)(55, 255)(56, 256)(57, 257)(58, 258)(59, 259)(60, 260)(61, 261)(62, 262)(63, 263)(64, 264)(65, 265)(66, 266)(67, 267)(68, 268)(69, 269)(70, 270)(71, 271)(72, 272)(73, 273)(74, 274)(75, 275)(76, 276)(77, 277)(78, 278)(79, 279)(80, 280)(81, 281)(82, 282)(83, 283)(84, 284)(85, 285)(86, 286)(87, 287)(88, 288)(89, 289)(90, 290)(91, 291)(92, 292)(93, 293)(94, 294)(95, 295)(96, 296)(97, 297)(98, 298)(99, 299)(100, 300)(101, 301)(102, 302)(103, 303)(104, 304)(105, 305)(106, 306)(107, 307)(108, 308)(109, 309)(110, 310)(111, 311)(112, 312)(113, 313)(114, 314)(115, 315)(116, 316)(117, 317)(118, 318)(119, 319)(120, 320)(121, 321)(122, 322)(123, 323)(124, 324)(125, 325)(126, 326)(127, 327)(128, 328)(129, 329)(130, 330)(131, 331)(132, 332)(133, 333)(134, 334)(135, 335)(136, 336)(137, 337)(138, 338)(139, 339)(140, 340)(141, 341)(142, 342)(143, 343)(144, 344)(145, 345)(146, 346)(147, 347)(148, 348)(149, 349)(150, 350)(151, 351)(152, 352)(153, 353)(154, 354)(155, 355)(156, 356)(157, 357)(158, 358)(159, 359)(160, 360)(161, 361)(162, 362)(163, 363)(164, 364)(165, 365)(166, 366)(167, 367)(168, 368)(169, 369)(170, 370)(171, 371)(172, 372)(173, 373)(174, 374)(175, 375)(176, 376)(177, 377)(178, 378)(179, 379)(180, 380)(181, 381)(182, 382)(183, 383)(184, 384)(185, 385)(186, 386)(187, 387)(188, 388)(189, 389)(190, 390)(191, 391)(192, 392)(193, 393)(194, 394)(195, 395)(196, 396)(197, 397)(198, 398)(199, 399)(200, 400)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E26.1190
Graph:: simple bipartite
	v = 125 e = 200 f = 25
	degree seq :: [ 2^100, 8^25 ]

E26.1187 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C5 x C5) : C4 (small group id <100, 12>)
Aut   = (D10 x D10) : C2 (small group id <200, 43>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^-1 * Y1 * Y3 * Y2, R * Y1 * R * Y2, (R * Y3)^2, Y3^4, Y1 * Y3^-1 * Y1 * Y2 * Y3^-2 * Y1 * Y3^-1, Y3 * Y1 * Y3^2 * Y2 * Y1 * Y3 * Y1, (Y1 * Y2)^5, Y3^-1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y3^-2 * Y1, (Y1 * Y3^-1 * Y2)^4 ]
Map:: polytopal
	R = (1, 101, 4, 104, 13, 113, 5, 105)(2, 102, 7, 107, 19, 119, 8, 108)(3, 103, 10, 110, 25, 125, 11, 111)(6, 106, 16, 116, 37, 137, 17, 117)(9, 109, 22, 122, 49, 149, 23, 123)(12, 112, 28, 128, 38, 138, 29, 129)(14, 114, 32, 132, 48, 148, 30, 130)(15, 115, 34, 134, 65, 165, 35, 135)(18, 118, 40, 140, 26, 126, 41, 141)(20, 120, 44, 144, 64, 164, 42, 142)(21, 121, 46, 146, 80, 180, 47, 147)(24, 124, 52, 152, 81, 181, 53, 153)(27, 127, 56, 156, 31, 131, 57, 157)(33, 133, 62, 162, 96, 196, 63, 163)(36, 136, 68, 168, 86, 186, 69, 169)(39, 139, 72, 172, 43, 143, 73, 173)(45, 145, 77, 177, 99, 199, 78, 178)(50, 150, 85, 185, 75, 175, 83, 183)(51, 151, 87, 187, 54, 154, 74, 174)(55, 155, 91, 191, 79, 179, 92, 192)(58, 158, 67, 167, 88, 188, 70, 170)(59, 159, 95, 195, 66, 166, 93, 193)(60, 160, 82, 182, 76, 176, 84, 184)(61, 161, 94, 194, 100, 200, 90, 190)(71, 171, 97, 197, 89, 189, 98, 198)(201, 202)(203, 209)(204, 212)(205, 211)(206, 215)(207, 218)(208, 217)(210, 224)(213, 230)(214, 231)(216, 236)(219, 242)(220, 243)(221, 245)(222, 248)(223, 247)(225, 240)(226, 254)(227, 255)(228, 237)(229, 257)(232, 260)(233, 261)(234, 264)(235, 263)(238, 270)(239, 271)(241, 273)(244, 276)(246, 279)(249, 283)(250, 284)(251, 286)(252, 280)(253, 274)(256, 293)(258, 269)(259, 294)(262, 289)(265, 295)(266, 282)(267, 281)(268, 296)(272, 285)(275, 277)(278, 290)(287, 297)(288, 291)(292, 300)(298, 299)(301, 303)(302, 306)(304, 307)(305, 314)(308, 320)(309, 321)(310, 322)(311, 326)(312, 327)(313, 328)(315, 333)(316, 334)(317, 338)(318, 339)(319, 340)(323, 350)(324, 351)(325, 352)(329, 358)(330, 349)(331, 359)(332, 357)(335, 366)(336, 367)(337, 368)(341, 374)(342, 365)(343, 375)(344, 373)(345, 361)(346, 377)(347, 381)(348, 382)(353, 388)(354, 389)(355, 390)(356, 391)(360, 385)(362, 394)(363, 386)(364, 384)(369, 387)(370, 379)(371, 378)(372, 397)(376, 393)(380, 392)(383, 399)(395, 400)(396, 398)
	L = (1, 201)(2, 202)(3, 203)(4, 204)(5, 205)(6, 206)(7, 207)(8, 208)(9, 209)(10, 210)(11, 211)(12, 212)(13, 213)(14, 214)(15, 215)(16, 216)(17, 217)(18, 218)(19, 219)(20, 220)(21, 221)(22, 222)(23, 223)(24, 224)(25, 225)(26, 226)(27, 227)(28, 228)(29, 229)(30, 230)(31, 231)(32, 232)(33, 233)(34, 234)(35, 235)(36, 236)(37, 237)(38, 238)(39, 239)(40, 240)(41, 241)(42, 242)(43, 243)(44, 244)(45, 245)(46, 246)(47, 247)(48, 248)(49, 249)(50, 250)(51, 251)(52, 252)(53, 253)(54, 254)(55, 255)(56, 256)(57, 257)(58, 258)(59, 259)(60, 260)(61, 261)(62, 262)(63, 263)(64, 264)(65, 265)(66, 266)(67, 267)(68, 268)(69, 269)(70, 270)(71, 271)(72, 272)(73, 273)(74, 274)(75, 275)(76, 276)(77, 277)(78, 278)(79, 279)(80, 280)(81, 281)(82, 282)(83, 283)(84, 284)(85, 285)(86, 286)(87, 287)(88, 288)(89, 289)(90, 290)(91, 291)(92, 292)(93, 293)(94, 294)(95, 295)(96, 296)(97, 297)(98, 298)(99, 299)(100, 300)(101, 301)(102, 302)(103, 303)(104, 304)(105, 305)(106, 306)(107, 307)(108, 308)(109, 309)(110, 310)(111, 311)(112, 312)(113, 313)(114, 314)(115, 315)(116, 316)(117, 317)(118, 318)(119, 319)(120, 320)(121, 321)(122, 322)(123, 323)(124, 324)(125, 325)(126, 326)(127, 327)(128, 328)(129, 329)(130, 330)(131, 331)(132, 332)(133, 333)(134, 334)(135, 335)(136, 336)(137, 337)(138, 338)(139, 339)(140, 340)(141, 341)(142, 342)(143, 343)(144, 344)(145, 345)(146, 346)(147, 347)(148, 348)(149, 349)(150, 350)(151, 351)(152, 352)(153, 353)(154, 354)(155, 355)(156, 356)(157, 357)(158, 358)(159, 359)(160, 360)(161, 361)(162, 362)(163, 363)(164, 364)(165, 365)(166, 366)(167, 367)(168, 368)(169, 369)(170, 370)(171, 371)(172, 372)(173, 373)(174, 374)(175, 375)(176, 376)(177, 377)(178, 378)(179, 379)(180, 380)(181, 381)(182, 382)(183, 383)(184, 384)(185, 385)(186, 386)(187, 387)(188, 388)(189, 389)(190, 390)(191, 391)(192, 392)(193, 393)(194, 394)(195, 395)(196, 396)(197, 397)(198, 398)(199, 399)(200, 400)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E26.1189
Graph:: simple bipartite
	v = 125 e = 200 f = 25
	degree seq :: [ 2^100, 8^25 ]

E26.1188 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C5 x C5) : C4 (small group id <100, 12>)
Aut   = C2 x ((C5 x C5) : C4) (small group id <200, 48>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y2, (Y2 * Y1^-1)^2, (R * Y3)^2, R * Y2 * R * Y1, Y2^4, (Y3 * Y2^-1)^4, Y2^-1 * Y3 * Y2^-1 * Y1 * Y3 * Y2 * Y1^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-2 * Y3 * Y2^-1, Y1 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y3 * Y1^2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 ]
Map:: non-degenerate
	R = (1, 101, 4, 104)(2, 102, 6, 106)(3, 103, 7, 107)(5, 105, 10, 110)(8, 108, 16, 116)(9, 109, 17, 117)(11, 111, 21, 121)(12, 112, 22, 122)(13, 113, 24, 124)(14, 114, 25, 125)(15, 115, 26, 126)(18, 118, 30, 130)(19, 119, 31, 131)(20, 120, 32, 132)(23, 123, 35, 135)(27, 127, 40, 140)(28, 128, 41, 141)(29, 129, 42, 142)(33, 133, 47, 147)(34, 134, 48, 148)(36, 136, 51, 151)(37, 137, 52, 152)(38, 138, 54, 154)(39, 139, 55, 155)(43, 143, 60, 160)(44, 144, 61, 161)(45, 145, 63, 163)(46, 146, 64, 164)(49, 149, 68, 168)(50, 150, 69, 169)(53, 153, 72, 172)(56, 156, 75, 175)(57, 157, 76, 176)(58, 158, 77, 177)(59, 159, 78, 178)(62, 162, 67, 167)(65, 165, 83, 183)(66, 166, 84, 184)(70, 170, 87, 187)(71, 171, 88, 188)(73, 173, 89, 189)(74, 174, 90, 190)(79, 179, 93, 193)(80, 180, 94, 194)(81, 181, 86, 186)(82, 182, 85, 185)(91, 191, 99, 199)(92, 192, 100, 200)(95, 195, 98, 198)(96, 196, 97, 197)(201, 202, 205, 203)(204, 208, 215, 209)(206, 211, 220, 212)(207, 213, 223, 214)(210, 218, 229, 219)(216, 225, 237, 227)(217, 228, 233, 221)(222, 234, 243, 230)(224, 231, 244, 236)(226, 238, 253, 239)(232, 245, 262, 246)(235, 249, 267, 250)(240, 256, 273, 254)(241, 255, 274, 257)(242, 258, 272, 259)(247, 265, 281, 263)(248, 264, 282, 266)(251, 270, 285, 268)(252, 269, 286, 271)(260, 279, 290, 277)(261, 278, 289, 280)(275, 288, 298, 291)(276, 292, 295, 283)(284, 296, 300, 293)(287, 294, 299, 297)(301, 303, 305, 302)(304, 309, 315, 308)(306, 312, 320, 311)(307, 314, 323, 313)(310, 319, 329, 318)(316, 327, 337, 325)(317, 321, 333, 328)(322, 330, 343, 334)(324, 336, 344, 331)(326, 339, 353, 338)(332, 346, 362, 345)(335, 350, 367, 349)(340, 354, 373, 356)(341, 357, 374, 355)(342, 359, 372, 358)(347, 363, 381, 365)(348, 366, 382, 364)(351, 368, 385, 370)(352, 371, 386, 369)(360, 377, 390, 379)(361, 380, 389, 378)(375, 391, 398, 388)(376, 383, 395, 392)(384, 393, 400, 396)(387, 397, 399, 394)
	L = (1, 201)(2, 202)(3, 203)(4, 204)(5, 205)(6, 206)(7, 207)(8, 208)(9, 209)(10, 210)(11, 211)(12, 212)(13, 213)(14, 214)(15, 215)(16, 216)(17, 217)(18, 218)(19, 219)(20, 220)(21, 221)(22, 222)(23, 223)(24, 224)(25, 225)(26, 226)(27, 227)(28, 228)(29, 229)(30, 230)(31, 231)(32, 232)(33, 233)(34, 234)(35, 235)(36, 236)(37, 237)(38, 238)(39, 239)(40, 240)(41, 241)(42, 242)(43, 243)(44, 244)(45, 245)(46, 246)(47, 247)(48, 248)(49, 249)(50, 250)(51, 251)(52, 252)(53, 253)(54, 254)(55, 255)(56, 256)(57, 257)(58, 258)(59, 259)(60, 260)(61, 261)(62, 262)(63, 263)(64, 264)(65, 265)(66, 266)(67, 267)(68, 268)(69, 269)(70, 270)(71, 271)(72, 272)(73, 273)(74, 274)(75, 275)(76, 276)(77, 277)(78, 278)(79, 279)(80, 280)(81, 281)(82, 282)(83, 283)(84, 284)(85, 285)(86, 286)(87, 287)(88, 288)(89, 289)(90, 290)(91, 291)(92, 292)(93, 293)(94, 294)(95, 295)(96, 296)(97, 297)(98, 298)(99, 299)(100, 300)(101, 301)(102, 302)(103, 303)(104, 304)(105, 305)(106, 306)(107, 307)(108, 308)(109, 309)(110, 310)(111, 311)(112, 312)(113, 313)(114, 314)(115, 315)(116, 316)(117, 317)(118, 318)(119, 319)(120, 320)(121, 321)(122, 322)(123, 323)(124, 324)(125, 325)(126, 326)(127, 327)(128, 328)(129, 329)(130, 330)(131, 331)(132, 332)(133, 333)(134, 334)(135, 335)(136, 336)(137, 337)(138, 338)(139, 339)(140, 340)(141, 341)(142, 342)(143, 343)(144, 344)(145, 345)(146, 346)(147, 347)(148, 348)(149, 349)(150, 350)(151, 351)(152, 352)(153, 353)(154, 354)(155, 355)(156, 356)(157, 357)(158, 358)(159, 359)(160, 360)(161, 361)(162, 362)(163, 363)(164, 364)(165, 365)(166, 366)(167, 367)(168, 368)(169, 369)(170, 370)(171, 371)(172, 372)(173, 373)(174, 374)(175, 375)(176, 376)(177, 377)(178, 378)(179, 379)(180, 380)(181, 381)(182, 382)(183, 383)(184, 384)(185, 385)(186, 386)(187, 387)(188, 388)(189, 389)(190, 390)(191, 391)(192, 392)(193, 393)(194, 394)(195, 395)(196, 396)(197, 397)(198, 398)(199, 399)(200, 400)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E26.1192
Graph:: simple bipartite
	v = 100 e = 200 f = 50
	degree seq :: [ 4^100 ]

E26.1189 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C5 x C5) : C4 (small group id <100, 12>)
Aut   = (D10 x D10) : C2 (small group id <200, 43>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1, Y2 * Y3^-2 * Y2 * Y3^-1 * Y2 * Y3, (Y3^-1 * Y2 * Y1 * Y3^-1)^2, (Y2 * Y3 * Y1 * Y3)^2, Y2 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1, Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 ]
Map::
	R = (1, 101, 201, 301, 4, 104, 204, 304, 14, 114, 214, 314, 5, 105, 205, 305)(2, 102, 202, 302, 7, 107, 207, 307, 22, 122, 222, 322, 8, 108, 208, 308)(3, 103, 203, 303, 10, 110, 210, 310, 30, 130, 230, 330, 11, 111, 211, 311)(6, 106, 206, 306, 18, 118, 218, 318, 52, 152, 252, 352, 19, 119, 219, 319)(9, 109, 209, 309, 26, 126, 226, 326, 70, 170, 270, 370, 27, 127, 227, 327)(12, 112, 212, 312, 34, 134, 234, 334, 82, 182, 282, 382, 35, 135, 235, 335)(13, 113, 213, 313, 37, 137, 237, 337, 29, 129, 229, 329, 38, 138, 238, 338)(15, 115, 215, 315, 42, 142, 242, 342, 23, 123, 223, 323, 43, 143, 243, 343)(16, 116, 216, 316, 45, 145, 245, 345, 93, 193, 293, 393, 46, 146, 246, 346)(17, 117, 217, 317, 48, 148, 248, 348, 83, 183, 283, 383, 49, 149, 249, 349)(20, 120, 220, 320, 56, 156, 256, 356, 88, 188, 288, 388, 39, 139, 239, 339)(21, 121, 221, 321, 58, 158, 258, 358, 51, 151, 251, 351, 59, 159, 259, 359)(24, 124, 224, 324, 63, 163, 263, 363, 90, 190, 290, 390, 64, 164, 264, 364)(25, 125, 225, 325, 66, 166, 266, 366, 92, 192, 292, 392, 67, 167, 267, 367)(28, 128, 228, 328, 72, 172, 272, 372, 84, 184, 284, 384, 73, 173, 273, 373)(31, 131, 231, 331, 76, 176, 276, 376, 71, 171, 271, 371, 77, 177, 277, 377)(32, 132, 232, 332, 40, 140, 240, 340, 89, 189, 289, 389, 79, 179, 279, 379)(33, 133, 233, 333, 80, 180, 280, 380, 44, 144, 244, 344, 81, 181, 281, 381)(36, 136, 236, 336, 85, 185, 285, 385, 41, 141, 241, 341, 86, 186, 286, 386)(47, 147, 247, 347, 75, 175, 275, 375, 100, 200, 300, 400, 74, 174, 274, 374)(50, 150, 250, 350, 91, 191, 291, 391, 78, 178, 278, 378, 94, 194, 294, 394)(53, 153, 253, 353, 95, 195, 295, 395, 69, 169, 269, 369, 96, 196, 296, 396)(54, 154, 254, 354, 60, 160, 260, 360, 68, 168, 268, 368, 97, 197, 297, 397)(55, 155, 255, 355, 87, 187, 287, 387, 62, 162, 262, 362, 98, 198, 298, 398)(57, 157, 257, 357, 65, 165, 265, 365, 61, 161, 261, 361, 99, 199, 299, 399)
	L = (1, 102)(2, 101)(3, 109)(4, 112)(5, 115)(6, 117)(7, 120)(8, 123)(9, 103)(10, 128)(11, 131)(12, 104)(13, 136)(14, 139)(15, 105)(16, 144)(17, 106)(18, 150)(19, 153)(20, 107)(21, 157)(22, 135)(23, 108)(24, 162)(25, 165)(26, 168)(27, 171)(28, 110)(29, 174)(30, 160)(31, 111)(32, 178)(33, 166)(34, 142)(35, 122)(36, 113)(37, 164)(38, 187)(39, 114)(40, 152)(41, 190)(42, 134)(43, 156)(44, 116)(45, 192)(46, 158)(47, 185)(48, 189)(49, 169)(50, 118)(51, 167)(52, 140)(53, 119)(54, 184)(55, 175)(56, 143)(57, 121)(58, 146)(59, 180)(60, 130)(61, 193)(62, 124)(63, 200)(64, 137)(65, 125)(66, 133)(67, 151)(68, 126)(69, 149)(70, 173)(71, 127)(72, 176)(73, 170)(74, 129)(75, 155)(76, 172)(77, 197)(78, 132)(79, 196)(80, 159)(81, 199)(82, 188)(83, 194)(84, 154)(85, 147)(86, 198)(87, 138)(88, 182)(89, 148)(90, 141)(91, 195)(92, 145)(93, 161)(94, 183)(95, 191)(96, 179)(97, 177)(98, 186)(99, 181)(100, 163)(201, 303)(202, 306)(203, 301)(204, 313)(205, 316)(206, 302)(207, 321)(208, 324)(209, 325)(210, 329)(211, 332)(212, 333)(213, 304)(214, 340)(215, 341)(216, 305)(217, 347)(218, 351)(219, 354)(220, 355)(221, 307)(222, 360)(223, 361)(224, 308)(225, 309)(226, 369)(227, 362)(228, 350)(229, 310)(230, 345)(231, 375)(232, 311)(233, 312)(234, 377)(235, 383)(236, 384)(237, 379)(238, 346)(239, 370)(240, 314)(241, 315)(242, 391)(243, 372)(244, 349)(245, 330)(246, 338)(247, 317)(248, 371)(249, 344)(250, 328)(251, 318)(252, 363)(253, 366)(254, 319)(255, 320)(256, 396)(257, 378)(258, 397)(259, 364)(260, 322)(261, 323)(262, 327)(263, 352)(264, 359)(265, 385)(266, 353)(267, 388)(268, 390)(269, 326)(270, 339)(271, 348)(272, 343)(273, 399)(274, 382)(275, 331)(276, 380)(277, 334)(278, 357)(279, 337)(280, 376)(281, 400)(282, 374)(283, 335)(284, 336)(285, 365)(286, 394)(287, 395)(288, 367)(289, 393)(290, 368)(291, 342)(292, 398)(293, 389)(294, 386)(295, 387)(296, 356)(297, 358)(298, 392)(299, 373)(300, 381)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E26.1187
Transitivity :: VT+
Graph::
	v = 25 e = 200 f = 125
	degree seq :: [ 16^25 ]

E26.1190 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C5 x C5) : C4 (small group id <100, 12>)
Aut   = (D10 x D10) : C2 (small group id <200, 43>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3 * Y1 * Y3^-1 * Y2, (R * Y3)^2, Y3^4, R * Y1 * R * Y2, Y3 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3, (Y1 * Y2)^5, Y3^-1 * Y1 * Y3^2 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y2, Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 101, 201, 301, 4, 104, 204, 304, 13, 113, 213, 313, 5, 105, 205, 305)(2, 102, 202, 302, 7, 107, 207, 307, 19, 119, 219, 319, 8, 108, 208, 308)(3, 103, 203, 303, 10, 110, 210, 310, 25, 125, 225, 325, 11, 111, 211, 311)(6, 106, 206, 306, 16, 116, 216, 316, 37, 137, 237, 337, 17, 117, 217, 317)(9, 109, 209, 309, 22, 122, 222, 322, 49, 149, 249, 349, 23, 123, 223, 323)(12, 112, 212, 312, 28, 128, 228, 328, 50, 150, 250, 350, 29, 129, 229, 329)(14, 114, 214, 314, 32, 132, 232, 332, 36, 136, 236, 336, 30, 130, 230, 330)(15, 115, 215, 315, 34, 134, 234, 334, 65, 165, 265, 365, 35, 135, 235, 335)(18, 118, 218, 318, 40, 140, 240, 340, 66, 166, 266, 366, 41, 141, 241, 341)(20, 120, 220, 320, 44, 144, 244, 344, 24, 124, 224, 324, 42, 142, 242, 342)(21, 121, 221, 321, 46, 146, 246, 346, 80, 180, 280, 380, 47, 147, 247, 347)(26, 126, 226, 326, 54, 154, 254, 354, 79, 179, 279, 379, 52, 152, 252, 352)(27, 127, 227, 327, 56, 156, 256, 356, 31, 131, 231, 331, 57, 157, 257, 357)(33, 133, 233, 333, 62, 162, 262, 362, 96, 196, 296, 396, 63, 163, 263, 363)(38, 138, 238, 338, 70, 170, 270, 370, 88, 188, 288, 388, 68, 168, 268, 368)(39, 139, 239, 339, 72, 172, 272, 372, 43, 143, 243, 343, 73, 173, 273, 373)(45, 145, 245, 345, 77, 177, 277, 377, 99, 199, 299, 399, 78, 178, 278, 378)(48, 148, 248, 348, 83, 183, 283, 383, 71, 171, 271, 371, 84, 184, 284, 384)(51, 151, 251, 351, 87, 187, 287, 387, 53, 153, 253, 353, 76, 176, 276, 376)(55, 155, 255, 355, 91, 191, 291, 391, 64, 164, 264, 364, 92, 192, 292, 392)(58, 158, 258, 358, 82, 182, 282, 382, 74, 174, 274, 374, 85, 185, 285, 385)(59, 159, 259, 359, 95, 195, 295, 395, 81, 181, 281, 381, 93, 193, 293, 393)(60, 160, 260, 360, 67, 167, 267, 367, 89, 189, 289, 389, 69, 169, 269, 369)(61, 161, 261, 361, 94, 194, 294, 394, 100, 200, 300, 400, 90, 190, 290, 390)(75, 175, 275, 375, 98, 198, 298, 398, 86, 186, 286, 386, 97, 197, 297, 397)
	L = (1, 102)(2, 101)(3, 109)(4, 110)(5, 114)(6, 115)(7, 116)(8, 120)(9, 103)(10, 104)(11, 126)(12, 127)(13, 128)(14, 105)(15, 106)(16, 107)(17, 138)(18, 139)(19, 140)(20, 108)(21, 145)(22, 146)(23, 150)(24, 151)(25, 142)(26, 111)(27, 112)(28, 113)(29, 158)(30, 137)(31, 159)(32, 157)(33, 161)(34, 162)(35, 166)(36, 167)(37, 130)(38, 117)(39, 118)(40, 119)(41, 174)(42, 125)(43, 175)(44, 173)(45, 121)(46, 122)(47, 181)(48, 182)(49, 183)(50, 123)(51, 124)(52, 180)(53, 188)(54, 176)(55, 190)(56, 191)(57, 132)(58, 129)(59, 131)(60, 170)(61, 133)(62, 134)(63, 186)(64, 185)(65, 192)(66, 135)(67, 136)(68, 196)(69, 179)(70, 160)(71, 178)(72, 184)(73, 144)(74, 141)(75, 143)(76, 154)(77, 194)(78, 171)(79, 169)(80, 152)(81, 147)(82, 148)(83, 149)(84, 172)(85, 164)(86, 163)(87, 197)(88, 153)(89, 193)(90, 155)(91, 156)(92, 165)(93, 189)(94, 177)(95, 200)(96, 168)(97, 187)(98, 199)(99, 198)(100, 195)(201, 303)(202, 306)(203, 301)(204, 312)(205, 308)(206, 302)(207, 318)(208, 305)(209, 321)(210, 324)(211, 323)(212, 304)(213, 330)(214, 331)(215, 333)(216, 336)(217, 335)(218, 307)(219, 342)(220, 343)(221, 309)(222, 348)(223, 311)(224, 310)(225, 352)(226, 353)(227, 355)(228, 349)(229, 357)(230, 313)(231, 314)(232, 360)(233, 315)(234, 364)(235, 317)(236, 316)(237, 368)(238, 369)(239, 371)(240, 365)(241, 373)(242, 319)(243, 320)(244, 376)(245, 361)(246, 379)(247, 378)(248, 322)(249, 328)(250, 385)(251, 386)(252, 325)(253, 326)(254, 389)(255, 327)(256, 393)(257, 329)(258, 384)(259, 394)(260, 332)(261, 345)(262, 388)(263, 390)(264, 334)(265, 340)(266, 382)(267, 381)(268, 337)(269, 338)(270, 387)(271, 339)(272, 397)(273, 341)(274, 391)(275, 377)(276, 344)(277, 375)(278, 347)(279, 346)(280, 395)(281, 367)(282, 366)(283, 399)(284, 358)(285, 350)(286, 351)(287, 370)(288, 362)(289, 354)(290, 363)(291, 374)(292, 400)(293, 356)(294, 359)(295, 380)(296, 398)(297, 372)(298, 396)(299, 383)(300, 392)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E26.1186
Transitivity :: VT+
Graph::
	v = 25 e = 200 f = 125
	degree seq :: [ 16^25 ]

E26.1191 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C5 x C5) : C4 (small group id <100, 12>)
Aut   = (D10 x D10) : C2 (small group id <200, 43>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^-1 * Y1 * Y3 * Y2, R * Y1 * R * Y2, (R * Y3)^2, Y3^4, Y1 * Y3^-1 * Y1 * Y2 * Y3^-2 * Y1 * Y3^-1, Y3 * Y1 * Y3^2 * Y2 * Y1 * Y3 * Y1, (Y1 * Y2)^5, Y3^-1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y3^-2 * Y1, (Y1 * Y3^-1 * Y2)^4 ]
Map::
	R = (1, 101, 201, 301, 4, 104, 204, 304, 13, 113, 213, 313, 5, 105, 205, 305)(2, 102, 202, 302, 7, 107, 207, 307, 19, 119, 219, 319, 8, 108, 208, 308)(3, 103, 203, 303, 10, 110, 210, 310, 25, 125, 225, 325, 11, 111, 211, 311)(6, 106, 206, 306, 16, 116, 216, 316, 37, 137, 237, 337, 17, 117, 217, 317)(9, 109, 209, 309, 22, 122, 222, 322, 49, 149, 249, 349, 23, 123, 223, 323)(12, 112, 212, 312, 28, 128, 228, 328, 38, 138, 238, 338, 29, 129, 229, 329)(14, 114, 214, 314, 32, 132, 232, 332, 48, 148, 248, 348, 30, 130, 230, 330)(15, 115, 215, 315, 34, 134, 234, 334, 65, 165, 265, 365, 35, 135, 235, 335)(18, 118, 218, 318, 40, 140, 240, 340, 26, 126, 226, 326, 41, 141, 241, 341)(20, 120, 220, 320, 44, 144, 244, 344, 64, 164, 264, 364, 42, 142, 242, 342)(21, 121, 221, 321, 46, 146, 246, 346, 80, 180, 280, 380, 47, 147, 247, 347)(24, 124, 224, 324, 52, 152, 252, 352, 81, 181, 281, 381, 53, 153, 253, 353)(27, 127, 227, 327, 56, 156, 256, 356, 31, 131, 231, 331, 57, 157, 257, 357)(33, 133, 233, 333, 62, 162, 262, 362, 96, 196, 296, 396, 63, 163, 263, 363)(36, 136, 236, 336, 68, 168, 268, 368, 86, 186, 286, 386, 69, 169, 269, 369)(39, 139, 239, 339, 72, 172, 272, 372, 43, 143, 243, 343, 73, 173, 273, 373)(45, 145, 245, 345, 77, 177, 277, 377, 99, 199, 299, 399, 78, 178, 278, 378)(50, 150, 250, 350, 85, 185, 285, 385, 75, 175, 275, 375, 83, 183, 283, 383)(51, 151, 251, 351, 87, 187, 287, 387, 54, 154, 254, 354, 74, 174, 274, 374)(55, 155, 255, 355, 91, 191, 291, 391, 79, 179, 279, 379, 92, 192, 292, 392)(58, 158, 258, 358, 67, 167, 267, 367, 88, 188, 288, 388, 70, 170, 270, 370)(59, 159, 259, 359, 95, 195, 295, 395, 66, 166, 266, 366, 93, 193, 293, 393)(60, 160, 260, 360, 82, 182, 282, 382, 76, 176, 276, 376, 84, 184, 284, 384)(61, 161, 261, 361, 94, 194, 294, 394, 100, 200, 300, 400, 90, 190, 290, 390)(71, 171, 271, 371, 97, 197, 297, 397, 89, 189, 289, 389, 98, 198, 298, 398)
	L = (1, 102)(2, 101)(3, 109)(4, 112)(5, 111)(6, 115)(7, 118)(8, 117)(9, 103)(10, 124)(11, 105)(12, 104)(13, 130)(14, 131)(15, 106)(16, 136)(17, 108)(18, 107)(19, 142)(20, 143)(21, 145)(22, 148)(23, 147)(24, 110)(25, 140)(26, 154)(27, 155)(28, 137)(29, 157)(30, 113)(31, 114)(32, 160)(33, 161)(34, 164)(35, 163)(36, 116)(37, 128)(38, 170)(39, 171)(40, 125)(41, 173)(42, 119)(43, 120)(44, 176)(45, 121)(46, 179)(47, 123)(48, 122)(49, 183)(50, 184)(51, 186)(52, 180)(53, 174)(54, 126)(55, 127)(56, 193)(57, 129)(58, 169)(59, 194)(60, 132)(61, 133)(62, 189)(63, 135)(64, 134)(65, 195)(66, 182)(67, 181)(68, 196)(69, 158)(70, 138)(71, 139)(72, 185)(73, 141)(74, 153)(75, 177)(76, 144)(77, 175)(78, 190)(79, 146)(80, 152)(81, 167)(82, 166)(83, 149)(84, 150)(85, 172)(86, 151)(87, 197)(88, 191)(89, 162)(90, 178)(91, 188)(92, 200)(93, 156)(94, 159)(95, 165)(96, 168)(97, 187)(98, 199)(99, 198)(100, 192)(201, 303)(202, 306)(203, 301)(204, 307)(205, 314)(206, 302)(207, 304)(208, 320)(209, 321)(210, 322)(211, 326)(212, 327)(213, 328)(214, 305)(215, 333)(216, 334)(217, 338)(218, 339)(219, 340)(220, 308)(221, 309)(222, 310)(223, 350)(224, 351)(225, 352)(226, 311)(227, 312)(228, 313)(229, 358)(230, 349)(231, 359)(232, 357)(233, 315)(234, 316)(235, 366)(236, 367)(237, 368)(238, 317)(239, 318)(240, 319)(241, 374)(242, 365)(243, 375)(244, 373)(245, 361)(246, 377)(247, 381)(248, 382)(249, 330)(250, 323)(251, 324)(252, 325)(253, 388)(254, 389)(255, 390)(256, 391)(257, 332)(258, 329)(259, 331)(260, 385)(261, 345)(262, 394)(263, 386)(264, 384)(265, 342)(266, 335)(267, 336)(268, 337)(269, 387)(270, 379)(271, 378)(272, 397)(273, 344)(274, 341)(275, 343)(276, 393)(277, 346)(278, 371)(279, 370)(280, 392)(281, 347)(282, 348)(283, 399)(284, 364)(285, 360)(286, 363)(287, 369)(288, 353)(289, 354)(290, 355)(291, 356)(292, 380)(293, 376)(294, 362)(295, 400)(296, 398)(297, 372)(298, 396)(299, 383)(300, 395)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E26.1185
Transitivity :: VT+
Graph::
	v = 25 e = 200 f = 125
	degree seq :: [ 16^25 ]

E26.1192 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C5 x C5) : C4 (small group id <100, 12>)
Aut   = C2 x ((C5 x C5) : C4) (small group id <200, 48>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y2, (Y2 * Y1^-1)^2, (R * Y3)^2, R * Y2 * R * Y1, Y2^4, (Y3 * Y2^-1)^4, Y2^-1 * Y3 * Y2^-1 * Y1 * Y3 * Y2 * Y1^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-2 * Y3 * Y2^-1, Y1 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y3 * Y1^2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 ]
Map:: non-degenerate
	R = (1, 101, 201, 301, 4, 104, 204, 304)(2, 102, 202, 302, 6, 106, 206, 306)(3, 103, 203, 303, 7, 107, 207, 307)(5, 105, 205, 305, 10, 110, 210, 310)(8, 108, 208, 308, 16, 116, 216, 316)(9, 109, 209, 309, 17, 117, 217, 317)(11, 111, 211, 311, 21, 121, 221, 321)(12, 112, 212, 312, 22, 122, 222, 322)(13, 113, 213, 313, 24, 124, 224, 324)(14, 114, 214, 314, 25, 125, 225, 325)(15, 115, 215, 315, 26, 126, 226, 326)(18, 118, 218, 318, 30, 130, 230, 330)(19, 119, 219, 319, 31, 131, 231, 331)(20, 120, 220, 320, 32, 132, 232, 332)(23, 123, 223, 323, 35, 135, 235, 335)(27, 127, 227, 327, 40, 140, 240, 340)(28, 128, 228, 328, 41, 141, 241, 341)(29, 129, 229, 329, 42, 142, 242, 342)(33, 133, 233, 333, 47, 147, 247, 347)(34, 134, 234, 334, 48, 148, 248, 348)(36, 136, 236, 336, 51, 151, 251, 351)(37, 137, 237, 337, 52, 152, 252, 352)(38, 138, 238, 338, 54, 154, 254, 354)(39, 139, 239, 339, 55, 155, 255, 355)(43, 143, 243, 343, 60, 160, 260, 360)(44, 144, 244, 344, 61, 161, 261, 361)(45, 145, 245, 345, 63, 163, 263, 363)(46, 146, 246, 346, 64, 164, 264, 364)(49, 149, 249, 349, 68, 168, 268, 368)(50, 150, 250, 350, 69, 169, 269, 369)(53, 153, 253, 353, 72, 172, 272, 372)(56, 156, 256, 356, 75, 175, 275, 375)(57, 157, 257, 357, 76, 176, 276, 376)(58, 158, 258, 358, 77, 177, 277, 377)(59, 159, 259, 359, 78, 178, 278, 378)(62, 162, 262, 362, 67, 167, 267, 367)(65, 165, 265, 365, 83, 183, 283, 383)(66, 166, 266, 366, 84, 184, 284, 384)(70, 170, 270, 370, 87, 187, 287, 387)(71, 171, 271, 371, 88, 188, 288, 388)(73, 173, 273, 373, 89, 189, 289, 389)(74, 174, 274, 374, 90, 190, 290, 390)(79, 179, 279, 379, 93, 193, 293, 393)(80, 180, 280, 380, 94, 194, 294, 394)(81, 181, 281, 381, 86, 186, 286, 386)(82, 182, 282, 382, 85, 185, 285, 385)(91, 191, 291, 391, 99, 199, 299, 399)(92, 192, 292, 392, 100, 200, 300, 400)(95, 195, 295, 395, 98, 198, 298, 398)(96, 196, 296, 396, 97, 197, 297, 397)
	L = (1, 102)(2, 105)(3, 101)(4, 108)(5, 103)(6, 111)(7, 113)(8, 115)(9, 104)(10, 118)(11, 120)(12, 106)(13, 123)(14, 107)(15, 109)(16, 125)(17, 128)(18, 129)(19, 110)(20, 112)(21, 117)(22, 134)(23, 114)(24, 131)(25, 137)(26, 138)(27, 116)(28, 133)(29, 119)(30, 122)(31, 144)(32, 145)(33, 121)(34, 143)(35, 149)(36, 124)(37, 127)(38, 153)(39, 126)(40, 156)(41, 155)(42, 158)(43, 130)(44, 136)(45, 162)(46, 132)(47, 165)(48, 164)(49, 167)(50, 135)(51, 170)(52, 169)(53, 139)(54, 140)(55, 174)(56, 173)(57, 141)(58, 172)(59, 142)(60, 179)(61, 178)(62, 146)(63, 147)(64, 182)(65, 181)(66, 148)(67, 150)(68, 151)(69, 186)(70, 185)(71, 152)(72, 159)(73, 154)(74, 157)(75, 188)(76, 192)(77, 160)(78, 189)(79, 190)(80, 161)(81, 163)(82, 166)(83, 176)(84, 196)(85, 168)(86, 171)(87, 194)(88, 198)(89, 180)(90, 177)(91, 175)(92, 195)(93, 184)(94, 199)(95, 183)(96, 200)(97, 187)(98, 191)(99, 197)(100, 193)(201, 303)(202, 301)(203, 305)(204, 309)(205, 302)(206, 312)(207, 314)(208, 304)(209, 315)(210, 319)(211, 306)(212, 320)(213, 307)(214, 323)(215, 308)(216, 327)(217, 321)(218, 310)(219, 329)(220, 311)(221, 333)(222, 330)(223, 313)(224, 336)(225, 316)(226, 339)(227, 337)(228, 317)(229, 318)(230, 343)(231, 324)(232, 346)(233, 328)(234, 322)(235, 350)(236, 344)(237, 325)(238, 326)(239, 353)(240, 354)(241, 357)(242, 359)(243, 334)(244, 331)(245, 332)(246, 362)(247, 363)(248, 366)(249, 335)(250, 367)(251, 368)(252, 371)(253, 338)(254, 373)(255, 341)(256, 340)(257, 374)(258, 342)(259, 372)(260, 377)(261, 380)(262, 345)(263, 381)(264, 348)(265, 347)(266, 382)(267, 349)(268, 385)(269, 352)(270, 351)(271, 386)(272, 358)(273, 356)(274, 355)(275, 391)(276, 383)(277, 390)(278, 361)(279, 360)(280, 389)(281, 365)(282, 364)(283, 395)(284, 393)(285, 370)(286, 369)(287, 397)(288, 375)(289, 378)(290, 379)(291, 398)(292, 376)(293, 400)(294, 387)(295, 392)(296, 384)(297, 399)(298, 388)(299, 394)(300, 396)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E26.1188
Transitivity :: VT+
Graph:: bipartite
	v = 50 e = 200 f = 100
	degree seq :: [ 8^50 ]

E26.1193 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C5 x C5) : C4 (small group id <100, 12>)
Aut   = (D10 x D10) : C2 (small group id <200, 43>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3 * Y2 * Y3, (Y2 * R)^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y3^-1)^4, (Y1 * Y2)^5, (Y1 * Y2)^5, Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y3 * Y1 * Y2, (Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2)^2 ]
Map:: non-degenerate
	R = (1, 101, 2, 102)(3, 103, 9, 109)(4, 104, 10, 110)(5, 105, 11, 111)(6, 106, 12, 112)(7, 107, 13, 113)(8, 108, 14, 114)(15, 115, 33, 133)(16, 116, 34, 134)(17, 117, 35, 135)(18, 118, 36, 136)(19, 119, 32, 132)(20, 120, 37, 137)(21, 121, 38, 138)(22, 122, 39, 139)(23, 123, 28, 128)(24, 124, 40, 140)(25, 125, 41, 141)(26, 126, 42, 142)(27, 127, 43, 143)(29, 129, 44, 144)(30, 130, 45, 145)(31, 131, 46, 146)(47, 147, 69, 169)(48, 148, 70, 170)(49, 149, 71, 171)(50, 150, 72, 172)(51, 151, 73, 173)(52, 152, 74, 174)(53, 153, 56, 156)(54, 154, 68, 168)(55, 155, 75, 175)(57, 157, 76, 176)(58, 158, 64, 164)(59, 159, 77, 177)(60, 160, 78, 178)(61, 161, 79, 179)(62, 162, 80, 180)(63, 163, 66, 166)(65, 165, 81, 181)(67, 167, 82, 182)(83, 183, 93, 193)(84, 184, 94, 194)(85, 185, 87, 187)(86, 186, 95, 195)(88, 188, 96, 196)(89, 189, 91, 191)(90, 190, 97, 197)(92, 192, 98, 198)(99, 199, 100, 200)(201, 301, 203, 303)(202, 302, 206, 306)(204, 304, 205, 305)(207, 307, 208, 308)(209, 309, 215, 315)(210, 310, 218, 318)(211, 311, 221, 321)(212, 312, 224, 324)(213, 313, 227, 327)(214, 314, 230, 330)(216, 316, 217, 317)(219, 319, 220, 320)(222, 322, 223, 323)(225, 325, 226, 326)(228, 328, 229, 329)(231, 331, 232, 332)(233, 333, 240, 340)(234, 334, 249, 349)(235, 335, 251, 351)(236, 336, 253, 353)(237, 337, 250, 350)(238, 338, 256, 356)(239, 339, 252, 352)(241, 341, 259, 359)(242, 342, 261, 361)(243, 343, 263, 363)(244, 344, 260, 360)(245, 345, 266, 366)(246, 346, 262, 362)(247, 347, 248, 348)(254, 354, 255, 355)(257, 357, 258, 358)(264, 364, 265, 365)(267, 367, 268, 368)(269, 369, 283, 383)(270, 370, 284, 384)(271, 371, 285, 385)(272, 372, 280, 380)(273, 373, 287, 387)(274, 374, 278, 378)(275, 375, 286, 386)(276, 376, 288, 388)(277, 377, 289, 389)(279, 379, 291, 391)(281, 381, 290, 390)(282, 382, 292, 392)(293, 393, 299, 399)(294, 394, 300, 400)(295, 395, 298, 398)(296, 396, 297, 397)
	L = (1, 204)(2, 207)(3, 205)(4, 203)(5, 201)(6, 208)(7, 206)(8, 202)(9, 216)(10, 219)(11, 222)(12, 225)(13, 228)(14, 231)(15, 217)(16, 215)(17, 209)(18, 220)(19, 218)(20, 210)(21, 223)(22, 221)(23, 211)(24, 226)(25, 224)(26, 212)(27, 229)(28, 227)(29, 213)(30, 232)(31, 230)(32, 214)(33, 247)(34, 237)(35, 252)(36, 254)(37, 249)(38, 257)(39, 235)(40, 248)(41, 244)(42, 262)(43, 264)(44, 259)(45, 267)(46, 242)(47, 240)(48, 233)(49, 250)(50, 234)(51, 239)(52, 251)(53, 255)(54, 253)(55, 236)(56, 258)(57, 256)(58, 238)(59, 260)(60, 241)(61, 246)(62, 261)(63, 265)(64, 263)(65, 243)(66, 268)(67, 266)(68, 245)(69, 272)(70, 278)(71, 275)(72, 283)(73, 288)(74, 270)(75, 285)(76, 273)(77, 281)(78, 284)(79, 292)(80, 269)(81, 289)(82, 279)(83, 280)(84, 274)(85, 286)(86, 271)(87, 276)(88, 287)(89, 290)(90, 277)(91, 282)(92, 291)(93, 295)(94, 297)(95, 299)(96, 294)(97, 300)(98, 293)(99, 298)(100, 296)(101, 301)(102, 302)(103, 303)(104, 304)(105, 305)(106, 306)(107, 307)(108, 308)(109, 309)(110, 310)(111, 311)(112, 312)(113, 313)(114, 314)(115, 315)(116, 316)(117, 317)(118, 318)(119, 319)(120, 320)(121, 321)(122, 322)(123, 323)(124, 324)(125, 325)(126, 326)(127, 327)(128, 328)(129, 329)(130, 330)(131, 331)(132, 332)(133, 333)(134, 334)(135, 335)(136, 336)(137, 337)(138, 338)(139, 339)(140, 340)(141, 341)(142, 342)(143, 343)(144, 344)(145, 345)(146, 346)(147, 347)(148, 348)(149, 349)(150, 350)(151, 351)(152, 352)(153, 353)(154, 354)(155, 355)(156, 356)(157, 357)(158, 358)(159, 359)(160, 360)(161, 361)(162, 362)(163, 363)(164, 364)(165, 365)(166, 366)(167, 367)(168, 368)(169, 369)(170, 370)(171, 371)(172, 372)(173, 373)(174, 374)(175, 375)(176, 376)(177, 377)(178, 378)(179, 379)(180, 380)(181, 381)(182, 382)(183, 383)(184, 384)(185, 385)(186, 386)(187, 387)(188, 388)(189, 389)(190, 390)(191, 391)(192, 392)(193, 393)(194, 394)(195, 395)(196, 396)(197, 397)(198, 398)(199, 399)(200, 400)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E26.1200
Graph:: simple bipartite
	v = 100 e = 200 f = 50
	degree seq :: [ 4^100 ]

E26.1194 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C5 x C5) : C4 (small group id <100, 12>)
Aut   = (D10 x D10) : C2 (small group id <200, 43>)
|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, Y2^4, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2)^4, (Y3 * Y2^-1)^4, Y2 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2 ]
Map::
	R = (1, 101, 2, 102)(3, 103, 7, 107)(4, 104, 9, 109)(5, 105, 10, 110)(6, 106, 12, 112)(8, 108, 15, 115)(11, 111, 20, 120)(13, 113, 22, 122)(14, 114, 24, 124)(16, 116, 27, 127)(17, 117, 18, 118)(19, 119, 30, 130)(21, 121, 33, 133)(23, 123, 35, 135)(25, 125, 37, 137)(26, 126, 39, 139)(28, 128, 41, 141)(29, 129, 42, 142)(31, 131, 44, 144)(32, 132, 46, 146)(34, 134, 48, 148)(36, 136, 51, 151)(38, 138, 53, 153)(40, 140, 55, 155)(43, 143, 60, 160)(45, 145, 62, 162)(47, 147, 64, 164)(49, 149, 66, 166)(50, 150, 68, 168)(52, 152, 70, 170)(54, 154, 73, 173)(56, 156, 75, 175)(57, 157, 58, 158)(59, 159, 78, 178)(61, 161, 80, 180)(63, 163, 81, 181)(65, 165, 83, 183)(67, 167, 76, 176)(69, 169, 86, 186)(71, 171, 88, 188)(72, 172, 89, 189)(74, 174, 91, 191)(77, 177, 84, 184)(79, 179, 94, 194)(82, 182, 95, 195)(85, 185, 92, 192)(87, 187, 98, 198)(90, 190, 99, 199)(93, 193, 96, 196)(97, 197, 100, 200)(201, 301, 203, 303, 208, 308, 204, 304)(202, 302, 205, 305, 211, 311, 206, 306)(207, 307, 213, 313, 223, 323, 214, 314)(209, 309, 216, 316, 228, 328, 217, 317)(210, 310, 218, 318, 229, 329, 219, 319)(212, 312, 221, 321, 234, 334, 222, 322)(215, 315, 225, 325, 238, 338, 226, 326)(220, 320, 231, 331, 245, 345, 232, 332)(224, 324, 236, 336, 252, 352, 237, 337)(227, 327, 239, 339, 254, 354, 240, 340)(230, 330, 243, 343, 261, 361, 244, 344)(233, 333, 246, 346, 263, 363, 247, 347)(235, 335, 249, 349, 267, 367, 250, 350)(241, 341, 256, 356, 276, 376, 257, 357)(242, 342, 258, 358, 277, 377, 259, 359)(248, 348, 265, 365, 284, 384, 266, 366)(251, 351, 268, 368, 285, 385, 269, 369)(253, 353, 271, 371, 262, 362, 272, 372)(255, 355, 274, 374, 292, 392, 275, 375)(260, 360, 278, 378, 293, 393, 279, 379)(264, 364, 282, 382, 296, 396, 283, 383)(270, 370, 287, 387, 281, 381, 288, 388)(273, 373, 289, 389, 280, 380, 290, 390)(286, 386, 297, 397, 295, 395, 298, 398)(291, 391, 299, 399, 294, 394, 300, 400)
	L = (1, 201)(2, 202)(3, 203)(4, 204)(5, 205)(6, 206)(7, 207)(8, 208)(9, 209)(10, 210)(11, 211)(12, 212)(13, 213)(14, 214)(15, 215)(16, 216)(17, 217)(18, 218)(19, 219)(20, 220)(21, 221)(22, 222)(23, 223)(24, 224)(25, 225)(26, 226)(27, 227)(28, 228)(29, 229)(30, 230)(31, 231)(32, 232)(33, 233)(34, 234)(35, 235)(36, 236)(37, 237)(38, 238)(39, 239)(40, 240)(41, 241)(42, 242)(43, 243)(44, 244)(45, 245)(46, 246)(47, 247)(48, 248)(49, 249)(50, 250)(51, 251)(52, 252)(53, 253)(54, 254)(55, 255)(56, 256)(57, 257)(58, 258)(59, 259)(60, 260)(61, 261)(62, 262)(63, 263)(64, 264)(65, 265)(66, 266)(67, 267)(68, 268)(69, 269)(70, 270)(71, 271)(72, 272)(73, 273)(74, 274)(75, 275)(76, 276)(77, 277)(78, 278)(79, 279)(80, 280)(81, 281)(82, 282)(83, 283)(84, 284)(85, 285)(86, 286)(87, 287)(88, 288)(89, 289)(90, 290)(91, 291)(92, 292)(93, 293)(94, 294)(95, 295)(96, 296)(97, 297)(98, 298)(99, 299)(100, 300)(101, 301)(102, 302)(103, 303)(104, 304)(105, 305)(106, 306)(107, 307)(108, 308)(109, 309)(110, 310)(111, 311)(112, 312)(113, 313)(114, 314)(115, 315)(116, 316)(117, 317)(118, 318)(119, 319)(120, 320)(121, 321)(122, 322)(123, 323)(124, 324)(125, 325)(126, 326)(127, 327)(128, 328)(129, 329)(130, 330)(131, 331)(132, 332)(133, 333)(134, 334)(135, 335)(136, 336)(137, 337)(138, 338)(139, 339)(140, 340)(141, 341)(142, 342)(143, 343)(144, 344)(145, 345)(146, 346)(147, 347)(148, 348)(149, 349)(150, 350)(151, 351)(152, 352)(153, 353)(154, 354)(155, 355)(156, 356)(157, 357)(158, 358)(159, 359)(160, 360)(161, 361)(162, 362)(163, 363)(164, 364)(165, 365)(166, 366)(167, 367)(168, 368)(169, 369)(170, 370)(171, 371)(172, 372)(173, 373)(174, 374)(175, 375)(176, 376)(177, 377)(178, 378)(179, 379)(180, 380)(181, 381)(182, 382)(183, 383)(184, 384)(185, 385)(186, 386)(187, 387)(188, 388)(189, 389)(190, 390)(191, 391)(192, 392)(193, 393)(194, 394)(195, 395)(196, 396)(197, 397)(198, 398)(199, 399)(200, 400)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 75 e = 200 f = 75
	degree seq :: [ 4^50, 8^25 ]

E26.1195 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C5 x C5) : C4 (small group id <100, 12>)
Aut   = (D10 x D10) : C2 (small group id <200, 43>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y2^4, (R * Y3)^2, Y3^5, Y1 * Y2 * Y3^-2 * Y2 * Y3^-1, (Y2 * Y3^-1 * Y2)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y3 * Y1 * Y2 * Y3^2, Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^2, Y1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3 * Y2 * Y1 * Y2^-1)^2, R * Y2 * Y1 * Y2^-1 * R * Y2^-1 * Y3^-1 * Y2^-1, Y1 * Y3^-1 * Y2^2 * Y3 * Y2 * Y3 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 101, 2, 102)(3, 103, 11, 111)(4, 104, 10, 110)(5, 105, 18, 118)(6, 106, 8, 108)(7, 107, 24, 124)(9, 109, 31, 131)(12, 112, 41, 141)(13, 113, 40, 140)(14, 114, 38, 138)(15, 115, 49, 149)(16, 116, 36, 136)(17, 117, 52, 152)(19, 119, 57, 157)(20, 120, 55, 155)(21, 121, 53, 153)(22, 122, 60, 160)(23, 123, 29, 129)(25, 125, 39, 139)(26, 126, 59, 159)(27, 127, 65, 165)(28, 128, 72, 172)(30, 130, 74, 174)(32, 132, 63, 163)(33, 133, 75, 175)(34, 134, 45, 145)(35, 135, 61, 161)(37, 137, 54, 154)(42, 142, 87, 187)(43, 143, 85, 185)(44, 144, 89, 189)(46, 146, 71, 171)(47, 147, 92, 192)(48, 148, 69, 169)(50, 150, 95, 195)(51, 151, 62, 162)(56, 156, 64, 164)(58, 158, 97, 197)(66, 166, 82, 182)(67, 167, 81, 181)(68, 168, 80, 180)(70, 170, 84, 184)(73, 173, 76, 176)(77, 177, 86, 186)(78, 178, 93, 193)(79, 179, 96, 196)(83, 183, 88, 188)(90, 190, 99, 199)(91, 191, 94, 194)(98, 198, 100, 200)(201, 301, 203, 303, 212, 312, 205, 305)(202, 302, 207, 307, 225, 325, 209, 309)(204, 304, 215, 315, 243, 343, 217, 317)(206, 306, 221, 321, 242, 342, 222, 322)(208, 308, 228, 328, 267, 367, 230, 330)(210, 310, 234, 334, 266, 366, 235, 335)(211, 311, 237, 337, 277, 377, 239, 339)(213, 313, 244, 344, 220, 320, 246, 346)(214, 314, 247, 347, 219, 319, 248, 348)(216, 316, 251, 351, 280, 380, 238, 338)(218, 318, 254, 354, 231, 331, 256, 356)(223, 323, 255, 355, 288, 388, 263, 363)(224, 324, 264, 364, 286, 386, 241, 341)(226, 326, 268, 368, 233, 333, 269, 369)(227, 327, 270, 370, 232, 332, 271, 371)(229, 329, 273, 373, 289, 389, 265, 365)(236, 336, 275, 375, 299, 399, 257, 357)(240, 340, 283, 383, 276, 376, 284, 384)(245, 345, 291, 391, 258, 358, 285, 385)(249, 349, 278, 378, 297, 397, 282, 382)(250, 350, 281, 381, 253, 353, 279, 379)(252, 352, 293, 393, 261, 361, 294, 394)(259, 359, 290, 390, 262, 362, 292, 392)(260, 360, 296, 396, 274, 374, 298, 398)(272, 372, 300, 400, 295, 395, 287, 387)
	L = (1, 204)(2, 208)(3, 213)(4, 216)(5, 219)(6, 201)(7, 226)(8, 229)(9, 232)(10, 202)(11, 238)(12, 242)(13, 245)(14, 203)(15, 250)(16, 223)(17, 227)(18, 255)(19, 228)(20, 205)(21, 259)(22, 261)(23, 206)(24, 265)(25, 266)(26, 253)(27, 207)(28, 258)(29, 236)(30, 214)(31, 275)(32, 215)(33, 209)(34, 240)(35, 260)(36, 210)(37, 278)(38, 274)(39, 281)(40, 211)(41, 285)(42, 288)(43, 212)(44, 290)(45, 230)(46, 279)(47, 293)(48, 270)(49, 263)(50, 233)(51, 277)(52, 221)(53, 217)(54, 296)(55, 297)(56, 294)(57, 218)(58, 220)(59, 224)(60, 251)(61, 273)(62, 222)(63, 231)(64, 300)(65, 252)(66, 299)(67, 225)(68, 283)(69, 291)(70, 298)(71, 247)(72, 257)(73, 286)(74, 234)(75, 295)(76, 235)(77, 276)(78, 292)(79, 237)(80, 243)(81, 244)(82, 239)(83, 287)(84, 269)(85, 268)(86, 262)(87, 241)(88, 280)(89, 267)(90, 282)(91, 264)(92, 246)(93, 254)(94, 248)(95, 249)(96, 271)(97, 272)(98, 256)(99, 289)(100, 284)(101, 301)(102, 302)(103, 303)(104, 304)(105, 305)(106, 306)(107, 307)(108, 308)(109, 309)(110, 310)(111, 311)(112, 312)(113, 313)(114, 314)(115, 315)(116, 316)(117, 317)(118, 318)(119, 319)(120, 320)(121, 321)(122, 322)(123, 323)(124, 324)(125, 325)(126, 326)(127, 327)(128, 328)(129, 329)(130, 330)(131, 331)(132, 332)(133, 333)(134, 334)(135, 335)(136, 336)(137, 337)(138, 338)(139, 339)(140, 340)(141, 341)(142, 342)(143, 343)(144, 344)(145, 345)(146, 346)(147, 347)(148, 348)(149, 349)(150, 350)(151, 351)(152, 352)(153, 353)(154, 354)(155, 355)(156, 356)(157, 357)(158, 358)(159, 359)(160, 360)(161, 361)(162, 362)(163, 363)(164, 364)(165, 365)(166, 366)(167, 367)(168, 368)(169, 369)(170, 370)(171, 371)(172, 372)(173, 373)(174, 374)(175, 375)(176, 376)(177, 377)(178, 378)(179, 379)(180, 380)(181, 381)(182, 382)(183, 383)(184, 384)(185, 385)(186, 386)(187, 387)(188, 388)(189, 389)(190, 390)(191, 391)(192, 392)(193, 393)(194, 394)(195, 395)(196, 396)(197, 397)(198, 398)(199, 399)(200, 400)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E26.1198
Graph:: simple bipartite
	v = 75 e = 200 f = 75
	degree seq :: [ 4^50, 8^25 ]

E26.1196 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C5 x C5) : C4 (small group id <100, 12>)
Aut   = (D10 x D10) : C2 (small group id <200, 43>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (Y3^-1 * R)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y3^5, Y3 * Y2 * Y3^2 * Y2 * Y1, Y3^-1 * Y2^-1 * Y1 * R * Y2 * R, (Y3^-1 * Y2^-2)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y1 * Y2 * Y3 * Y1 * Y2^-1, Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2^-1, Y3^-1 * Y2^-1 * Y1 * Y2 * R * Y2^-1 * R * Y2, (Y3^-1 * Y2^-1)^4, (Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 101, 2, 102)(3, 103, 11, 111)(4, 104, 10, 110)(5, 105, 18, 118)(6, 106, 8, 108)(7, 107, 24, 124)(9, 109, 31, 131)(12, 112, 41, 141)(13, 113, 40, 140)(14, 114, 38, 138)(15, 115, 49, 149)(16, 116, 36, 136)(17, 117, 53, 153)(19, 119, 57, 157)(20, 120, 51, 151)(21, 121, 59, 159)(22, 122, 50, 150)(23, 123, 29, 129)(25, 125, 55, 155)(26, 126, 63, 163)(27, 127, 64, 164)(28, 128, 71, 171)(30, 130, 74, 174)(32, 132, 62, 162)(33, 133, 72, 172)(34, 134, 60, 160)(35, 135, 58, 158)(37, 137, 75, 175)(39, 139, 56, 156)(42, 142, 86, 186)(43, 143, 85, 185)(44, 144, 88, 188)(45, 145, 70, 170)(46, 146, 89, 189)(47, 147, 68, 168)(48, 148, 79, 179)(52, 152, 61, 161)(54, 154, 97, 197)(65, 165, 95, 195)(66, 166, 91, 191)(67, 167, 98, 198)(69, 169, 87, 187)(73, 173, 76, 176)(77, 177, 93, 193)(78, 178, 100, 200)(80, 180, 99, 199)(81, 181, 92, 192)(82, 182, 96, 196)(83, 183, 90, 190)(84, 184, 94, 194)(201, 301, 203, 303, 212, 312, 205, 305)(202, 302, 207, 307, 225, 325, 209, 309)(204, 304, 215, 315, 243, 343, 217, 317)(206, 306, 221, 321, 242, 342, 222, 322)(208, 308, 228, 328, 266, 366, 230, 330)(210, 310, 234, 334, 265, 365, 235, 335)(211, 311, 237, 337, 224, 324, 239, 339)(213, 313, 244, 344, 220, 320, 245, 345)(214, 314, 246, 346, 219, 319, 247, 347)(216, 316, 251, 351, 287, 387, 252, 352)(218, 318, 255, 355, 294, 394, 256, 356)(223, 323, 263, 363, 280, 380, 238, 338)(226, 326, 267, 367, 233, 333, 268, 368)(227, 327, 269, 369, 232, 332, 270, 370)(229, 329, 272, 372, 289, 389, 273, 373)(231, 331, 241, 341, 284, 384, 275, 375)(236, 336, 240, 340, 283, 383, 264, 364)(248, 348, 293, 393, 258, 358, 285, 385)(249, 349, 277, 377, 260, 360, 282, 382)(250, 350, 291, 391, 254, 354, 292, 392)(253, 353, 295, 395, 279, 379, 296, 396)(257, 357, 298, 398, 276, 376, 299, 399)(259, 359, 278, 378, 271, 371, 281, 381)(261, 361, 290, 390, 262, 362, 288, 388)(274, 374, 286, 386, 297, 397, 300, 400)
	L = (1, 204)(2, 208)(3, 213)(4, 216)(5, 219)(6, 201)(7, 226)(8, 229)(9, 232)(10, 202)(11, 238)(12, 242)(13, 230)(14, 203)(15, 233)(16, 223)(17, 254)(18, 251)(19, 258)(20, 205)(21, 260)(22, 262)(23, 206)(24, 264)(25, 265)(26, 217)(27, 207)(28, 220)(29, 236)(30, 248)(31, 272)(32, 250)(33, 209)(34, 259)(35, 257)(36, 210)(37, 277)(38, 279)(39, 281)(40, 211)(41, 285)(42, 280)(43, 212)(44, 282)(45, 267)(46, 290)(47, 292)(48, 214)(49, 222)(50, 215)(51, 271)(52, 294)(53, 263)(54, 227)(55, 291)(56, 296)(57, 218)(58, 228)(59, 252)(60, 273)(61, 221)(62, 231)(63, 224)(64, 297)(65, 283)(66, 225)(67, 278)(68, 244)(69, 299)(70, 293)(71, 235)(72, 249)(73, 284)(74, 240)(75, 300)(76, 234)(77, 245)(78, 237)(79, 274)(80, 287)(81, 268)(82, 239)(83, 289)(84, 261)(85, 269)(86, 241)(87, 243)(88, 247)(89, 266)(90, 295)(91, 246)(92, 256)(93, 275)(94, 276)(95, 255)(96, 288)(97, 253)(98, 270)(99, 286)(100, 298)(101, 301)(102, 302)(103, 303)(104, 304)(105, 305)(106, 306)(107, 307)(108, 308)(109, 309)(110, 310)(111, 311)(112, 312)(113, 313)(114, 314)(115, 315)(116, 316)(117, 317)(118, 318)(119, 319)(120, 320)(121, 321)(122, 322)(123, 323)(124, 324)(125, 325)(126, 326)(127, 327)(128, 328)(129, 329)(130, 330)(131, 331)(132, 332)(133, 333)(134, 334)(135, 335)(136, 336)(137, 337)(138, 338)(139, 339)(140, 340)(141, 341)(142, 342)(143, 343)(144, 344)(145, 345)(146, 346)(147, 347)(148, 348)(149, 349)(150, 350)(151, 351)(152, 352)(153, 353)(154, 354)(155, 355)(156, 356)(157, 357)(158, 358)(159, 359)(160, 360)(161, 361)(162, 362)(163, 363)(164, 364)(165, 365)(166, 366)(167, 367)(168, 368)(169, 369)(170, 370)(171, 371)(172, 372)(173, 373)(174, 374)(175, 375)(176, 376)(177, 377)(178, 378)(179, 379)(180, 380)(181, 381)(182, 382)(183, 383)(184, 384)(185, 385)(186, 386)(187, 387)(188, 388)(189, 389)(190, 390)(191, 391)(192, 392)(193, 393)(194, 394)(195, 395)(196, 396)(197, 397)(198, 398)(199, 399)(200, 400)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 75 e = 200 f = 75
	degree seq :: [ 4^50, 8^25 ]

E26.1197 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C5 x C5) : C4 (small group id <100, 12>)
Aut   = (D10 x D10) : C2 (small group id <200, 43>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (R * Y3)^2, Y3^-1 * Y1 * Y2^2, Y1 * Y2^-2 * Y3^-1, (R * Y1)^2, Y3^5, (Y1 * Y3^2)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y3 * Y2, Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y1 * Y2^-1, Y3^-2 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3^2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 101, 2, 102)(3, 103, 11, 111)(4, 104, 10, 110)(5, 105, 13, 113)(6, 106, 8, 108)(7, 107, 19, 119)(9, 109, 21, 121)(12, 112, 29, 129)(14, 114, 26, 126)(15, 115, 33, 133)(16, 116, 35, 135)(17, 117, 37, 137)(18, 118, 22, 122)(20, 120, 43, 143)(23, 123, 47, 147)(24, 124, 49, 149)(25, 125, 51, 151)(27, 127, 46, 146)(28, 128, 53, 153)(30, 130, 34, 134)(31, 131, 57, 157)(32, 132, 41, 141)(36, 136, 61, 161)(38, 138, 63, 163)(39, 139, 65, 165)(40, 140, 67, 167)(42, 142, 69, 169)(44, 144, 48, 148)(45, 145, 73, 173)(50, 150, 77, 177)(52, 152, 79, 179)(54, 154, 81, 181)(55, 155, 76, 176)(56, 156, 83, 183)(58, 158, 85, 185)(59, 159, 87, 187)(60, 160, 71, 171)(62, 162, 64, 164)(66, 166, 89, 189)(68, 168, 91, 191)(70, 170, 86, 186)(72, 172, 93, 193)(74, 174, 82, 182)(75, 175, 95, 195)(78, 178, 80, 180)(84, 184, 97, 197)(88, 188, 99, 199)(90, 190, 92, 192)(94, 194, 100, 200)(96, 196, 98, 198)(201, 301, 203, 303, 208, 308, 205, 305)(202, 302, 207, 307, 204, 304, 209, 309)(206, 306, 216, 316, 222, 322, 217, 317)(210, 310, 224, 324, 214, 314, 225, 325)(211, 311, 227, 327, 212, 312, 228, 328)(213, 313, 231, 331, 215, 315, 232, 332)(218, 318, 239, 339, 226, 326, 240, 340)(219, 319, 241, 341, 220, 320, 242, 342)(221, 321, 245, 345, 223, 323, 246, 346)(229, 329, 255, 355, 230, 330, 256, 356)(233, 333, 259, 359, 234, 334, 260, 360)(235, 335, 253, 353, 236, 336, 254, 354)(237, 337, 258, 358, 238, 338, 257, 357)(243, 343, 271, 371, 244, 344, 272, 372)(247, 347, 275, 375, 248, 348, 276, 376)(249, 349, 269, 369, 250, 350, 270, 370)(251, 351, 274, 374, 252, 352, 273, 373)(261, 361, 283, 383, 262, 362, 284, 384)(263, 363, 288, 388, 264, 364, 287, 387)(265, 365, 281, 381, 266, 366, 282, 382)(267, 367, 286, 386, 268, 368, 285, 385)(277, 377, 293, 393, 278, 378, 294, 394)(279, 379, 296, 396, 280, 380, 295, 395)(289, 389, 297, 397, 290, 390, 298, 398)(291, 391, 300, 400, 292, 392, 299, 399)
	L = (1, 204)(2, 208)(3, 212)(4, 214)(5, 215)(6, 201)(7, 220)(8, 222)(9, 223)(10, 202)(11, 205)(12, 230)(13, 203)(14, 218)(15, 234)(16, 236)(17, 238)(18, 206)(19, 209)(20, 244)(21, 207)(22, 226)(23, 248)(24, 250)(25, 252)(26, 210)(27, 245)(28, 254)(29, 211)(30, 233)(31, 258)(32, 242)(33, 213)(34, 229)(35, 217)(36, 262)(37, 216)(38, 264)(39, 266)(40, 268)(41, 231)(42, 270)(43, 219)(44, 247)(45, 274)(46, 228)(47, 221)(48, 243)(49, 225)(50, 278)(51, 224)(52, 280)(53, 227)(54, 282)(55, 275)(56, 284)(57, 232)(58, 286)(59, 288)(60, 272)(61, 235)(62, 263)(63, 237)(64, 261)(65, 240)(66, 290)(67, 239)(68, 292)(69, 241)(70, 285)(71, 259)(72, 294)(73, 246)(74, 281)(75, 296)(76, 256)(77, 249)(78, 279)(79, 251)(80, 277)(81, 253)(82, 273)(83, 255)(84, 298)(85, 257)(86, 269)(87, 260)(88, 300)(89, 265)(90, 291)(91, 267)(92, 289)(93, 271)(94, 299)(95, 276)(96, 297)(97, 283)(98, 295)(99, 287)(100, 293)(101, 301)(102, 302)(103, 303)(104, 304)(105, 305)(106, 306)(107, 307)(108, 308)(109, 309)(110, 310)(111, 311)(112, 312)(113, 313)(114, 314)(115, 315)(116, 316)(117, 317)(118, 318)(119, 319)(120, 320)(121, 321)(122, 322)(123, 323)(124, 324)(125, 325)(126, 326)(127, 327)(128, 328)(129, 329)(130, 330)(131, 331)(132, 332)(133, 333)(134, 334)(135, 335)(136, 336)(137, 337)(138, 338)(139, 339)(140, 340)(141, 341)(142, 342)(143, 343)(144, 344)(145, 345)(146, 346)(147, 347)(148, 348)(149, 349)(150, 350)(151, 351)(152, 352)(153, 353)(154, 354)(155, 355)(156, 356)(157, 357)(158, 358)(159, 359)(160, 360)(161, 361)(162, 362)(163, 363)(164, 364)(165, 365)(166, 366)(167, 367)(168, 368)(169, 369)(170, 370)(171, 371)(172, 372)(173, 373)(174, 374)(175, 375)(176, 376)(177, 377)(178, 378)(179, 379)(180, 380)(181, 381)(182, 382)(183, 383)(184, 384)(185, 385)(186, 386)(187, 387)(188, 388)(189, 389)(190, 390)(191, 391)(192, 392)(193, 393)(194, 394)(195, 395)(196, 396)(197, 397)(198, 398)(199, 399)(200, 400)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E26.1199
Graph:: bipartite
	v = 75 e = 200 f = 75
	degree seq :: [ 4^50, 8^25 ]

E26.1198 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C5 x C5) : C4 (small group id <100, 12>)
Aut   = (D10 x D10) : C2 (small group id <200, 43>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (Y1 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y2 * Y1, Y1 * Y2 * R * Y2^-1 * R, Y3^5, (Y2^-2 * Y3)^2, (Y2 * Y1)^4, Y2 * Y3 * Y1 * Y2 * Y3 * Y2^-1 * Y3^2 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 101, 2, 102)(3, 103, 11, 111)(4, 104, 10, 110)(5, 105, 18, 118)(6, 106, 8, 108)(7, 107, 24, 124)(9, 109, 28, 128)(12, 112, 35, 135)(13, 113, 34, 134)(14, 114, 22, 122)(15, 115, 20, 120)(16, 116, 32, 132)(17, 117, 44, 144)(19, 119, 48, 148)(21, 121, 50, 150)(23, 123, 27, 127)(25, 125, 57, 157)(26, 126, 31, 131)(29, 129, 49, 149)(30, 130, 54, 154)(33, 133, 63, 163)(36, 136, 71, 171)(37, 137, 41, 141)(38, 138, 70, 170)(39, 139, 60, 160)(40, 140, 73, 173)(42, 142, 53, 153)(43, 143, 77, 177)(45, 145, 81, 181)(46, 146, 76, 176)(47, 147, 56, 156)(51, 151, 84, 184)(52, 152, 55, 155)(58, 158, 88, 188)(59, 159, 89, 189)(61, 161, 65, 165)(62, 162, 82, 182)(64, 164, 66, 166)(67, 167, 69, 169)(68, 168, 75, 175)(72, 172, 80, 180)(74, 174, 95, 195)(78, 178, 97, 197)(79, 179, 83, 183)(85, 185, 99, 199)(86, 186, 87, 187)(90, 190, 100, 200)(91, 191, 92, 192)(93, 193, 94, 194)(96, 196, 98, 198)(201, 301, 203, 303, 212, 312, 205, 305)(202, 302, 207, 307, 225, 325, 209, 309)(204, 304, 215, 315, 237, 337, 217, 317)(206, 306, 221, 321, 236, 336, 222, 322)(208, 308, 220, 320, 239, 339, 213, 313)(210, 310, 230, 330, 258, 358, 231, 331)(211, 311, 233, 333, 251, 351, 227, 327)(214, 314, 240, 340, 219, 319, 241, 341)(216, 316, 224, 324, 256, 356, 243, 343)(218, 318, 246, 346, 245, 345, 247, 347)(223, 323, 254, 354, 272, 372, 255, 355)(226, 326, 259, 359, 229, 329, 260, 360)(228, 328, 262, 362, 238, 338, 263, 363)(232, 332, 250, 350, 267, 367, 266, 366)(234, 334, 268, 368, 285, 385, 269, 369)(235, 335, 252, 352, 274, 374, 253, 353)(242, 342, 275, 375, 249, 349, 276, 376)(244, 344, 279, 379, 278, 378, 280, 380)(248, 348, 282, 382, 261, 361, 283, 383)(257, 357, 264, 364, 290, 390, 265, 365)(270, 370, 273, 373, 286, 386, 294, 394)(271, 371, 277, 377, 296, 396, 287, 387)(281, 381, 289, 389, 291, 391, 298, 398)(284, 384, 293, 393, 292, 392, 288, 388)(295, 395, 297, 397, 300, 400, 299, 399)
	L = (1, 204)(2, 208)(3, 213)(4, 216)(5, 219)(6, 201)(7, 217)(8, 227)(9, 229)(10, 202)(11, 222)(12, 236)(13, 238)(14, 203)(15, 209)(16, 223)(17, 245)(18, 215)(19, 249)(20, 205)(21, 251)(22, 253)(23, 206)(24, 231)(25, 258)(26, 207)(27, 232)(28, 220)(29, 248)(30, 243)(31, 265)(32, 210)(33, 239)(34, 211)(35, 241)(36, 272)(37, 212)(38, 242)(39, 225)(40, 274)(41, 247)(42, 214)(43, 278)(44, 224)(45, 261)(46, 240)(47, 280)(48, 218)(49, 228)(50, 255)(51, 285)(52, 221)(53, 270)(54, 266)(55, 287)(56, 237)(57, 260)(58, 267)(59, 290)(60, 263)(61, 226)(62, 259)(63, 269)(64, 230)(65, 281)(66, 292)(67, 233)(68, 262)(69, 288)(70, 234)(71, 235)(72, 256)(73, 276)(74, 296)(75, 294)(76, 283)(77, 254)(78, 291)(79, 246)(80, 271)(81, 244)(82, 275)(83, 298)(84, 250)(85, 286)(86, 252)(87, 299)(88, 257)(89, 282)(90, 293)(91, 264)(92, 297)(93, 268)(94, 300)(95, 273)(96, 279)(97, 277)(98, 295)(99, 284)(100, 289)(101, 301)(102, 302)(103, 303)(104, 304)(105, 305)(106, 306)(107, 307)(108, 308)(109, 309)(110, 310)(111, 311)(112, 312)(113, 313)(114, 314)(115, 315)(116, 316)(117, 317)(118, 318)(119, 319)(120, 320)(121, 321)(122, 322)(123, 323)(124, 324)(125, 325)(126, 326)(127, 327)(128, 328)(129, 329)(130, 330)(131, 331)(132, 332)(133, 333)(134, 334)(135, 335)(136, 336)(137, 337)(138, 338)(139, 339)(140, 340)(141, 341)(142, 342)(143, 343)(144, 344)(145, 345)(146, 346)(147, 347)(148, 348)(149, 349)(150, 350)(151, 351)(152, 352)(153, 353)(154, 354)(155, 355)(156, 356)(157, 357)(158, 358)(159, 359)(160, 360)(161, 361)(162, 362)(163, 363)(164, 364)(165, 365)(166, 366)(167, 367)(168, 368)(169, 369)(170, 370)(171, 371)(172, 372)(173, 373)(174, 374)(175, 375)(176, 376)(177, 377)(178, 378)(179, 379)(180, 380)(181, 381)(182, 382)(183, 383)(184, 384)(185, 385)(186, 386)(187, 387)(188, 388)(189, 389)(190, 390)(191, 391)(192, 392)(193, 393)(194, 394)(195, 395)(196, 396)(197, 397)(198, 398)(199, 399)(200, 400)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E26.1195
Graph:: simple bipartite
	v = 75 e = 200 f = 75
	degree seq :: [ 4^50, 8^25 ]

E26.1199 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C5 x C5) : C4 (small group id <100, 12>)
Aut   = (D10 x D10) : C2 (small group id <200, 43>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (Y1 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, R * Y2 * Y1 * R * Y2^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y1, Y3^5, (Y2 * Y3^-2 * Y2)^2, (Y2 * Y3)^4, Y1 * Y2^-1 * Y3^-1 * Y2^-2 * Y3^2 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 101, 2, 102)(3, 103, 11, 111)(4, 104, 10, 110)(5, 105, 18, 118)(6, 106, 8, 108)(7, 107, 24, 124)(9, 109, 28, 128)(12, 112, 36, 136)(13, 113, 35, 135)(14, 114, 17, 117)(15, 115, 43, 143)(16, 116, 32, 132)(19, 119, 47, 147)(20, 120, 21, 121)(22, 122, 51, 151)(23, 123, 27, 127)(25, 125, 58, 158)(26, 126, 40, 140)(29, 129, 30, 130)(31, 131, 55, 155)(33, 133, 62, 162)(34, 134, 68, 168)(37, 137, 72, 172)(38, 138, 41, 141)(39, 139, 74, 174)(42, 142, 61, 161)(44, 144, 77, 177)(45, 145, 78, 178)(46, 146, 56, 156)(48, 148, 83, 183)(49, 149, 50, 150)(52, 152, 84, 184)(53, 153, 54, 154)(57, 157, 71, 171)(59, 159, 88, 188)(60, 160, 89, 189)(63, 163, 64, 164)(65, 165, 66, 166)(67, 167, 73, 173)(69, 169, 70, 170)(75, 175, 95, 195)(76, 176, 82, 182)(79, 179, 97, 197)(80, 180, 81, 181)(85, 185, 99, 199)(86, 186, 87, 187)(90, 190, 100, 200)(91, 191, 92, 192)(93, 193, 94, 194)(96, 196, 98, 198)(201, 301, 203, 303, 212, 312, 205, 305)(202, 302, 207, 307, 225, 325, 209, 309)(204, 304, 215, 315, 238, 338, 217, 317)(206, 306, 221, 321, 237, 337, 222, 322)(208, 308, 219, 319, 242, 342, 214, 314)(210, 310, 230, 330, 259, 359, 231, 331)(211, 311, 233, 333, 244, 344, 234, 334)(213, 313, 239, 339, 220, 320, 241, 341)(216, 316, 245, 345, 262, 362, 228, 328)(218, 318, 227, 327, 252, 352, 246, 346)(223, 323, 254, 354, 273, 373, 255, 355)(224, 324, 256, 356, 248, 348, 257, 357)(226, 326, 260, 360, 229, 329, 261, 361)(232, 332, 266, 366, 280, 380, 251, 351)(235, 335, 270, 370, 263, 363, 271, 371)(236, 336, 250, 350, 275, 375, 253, 353)(240, 340, 276, 376, 249, 349, 268, 368)(243, 343, 267, 367, 279, 379, 269, 369)(247, 347, 281, 381, 285, 385, 282, 382)(258, 358, 264, 364, 290, 390, 265, 365)(272, 372, 287, 387, 293, 393, 278, 378)(274, 374, 283, 383, 296, 396, 286, 386)(277, 377, 294, 394, 291, 391, 289, 389)(284, 384, 288, 388, 292, 392, 298, 398)(295, 395, 299, 399, 300, 400, 297, 397)
	L = (1, 204)(2, 208)(3, 213)(4, 216)(5, 219)(6, 201)(7, 226)(8, 227)(9, 215)(10, 202)(11, 217)(12, 237)(13, 240)(14, 203)(15, 244)(16, 223)(17, 207)(18, 221)(19, 248)(20, 205)(21, 250)(22, 252)(23, 206)(24, 214)(25, 259)(26, 235)(27, 232)(28, 230)(29, 209)(30, 264)(31, 245)(32, 210)(33, 267)(34, 239)(35, 211)(36, 241)(37, 273)(38, 212)(39, 275)(40, 224)(41, 233)(42, 225)(43, 228)(44, 263)(45, 279)(46, 242)(47, 218)(48, 249)(49, 220)(50, 283)(51, 254)(52, 285)(53, 222)(54, 287)(55, 266)(56, 281)(57, 260)(58, 261)(59, 280)(60, 290)(61, 256)(62, 238)(63, 229)(64, 277)(65, 231)(66, 292)(67, 272)(68, 270)(69, 234)(70, 294)(71, 276)(72, 236)(73, 262)(74, 268)(75, 293)(76, 296)(77, 243)(78, 255)(79, 291)(80, 246)(81, 288)(82, 257)(83, 247)(84, 251)(85, 286)(86, 253)(87, 299)(88, 258)(89, 271)(90, 298)(91, 265)(92, 297)(93, 269)(94, 295)(95, 274)(96, 300)(97, 278)(98, 282)(99, 284)(100, 289)(101, 301)(102, 302)(103, 303)(104, 304)(105, 305)(106, 306)(107, 307)(108, 308)(109, 309)(110, 310)(111, 311)(112, 312)(113, 313)(114, 314)(115, 315)(116, 316)(117, 317)(118, 318)(119, 319)(120, 320)(121, 321)(122, 322)(123, 323)(124, 324)(125, 325)(126, 326)(127, 327)(128, 328)(129, 329)(130, 330)(131, 331)(132, 332)(133, 333)(134, 334)(135, 335)(136, 336)(137, 337)(138, 338)(139, 339)(140, 340)(141, 341)(142, 342)(143, 343)(144, 344)(145, 345)(146, 346)(147, 347)(148, 348)(149, 349)(150, 350)(151, 351)(152, 352)(153, 353)(154, 354)(155, 355)(156, 356)(157, 357)(158, 358)(159, 359)(160, 360)(161, 361)(162, 362)(163, 363)(164, 364)(165, 365)(166, 366)(167, 367)(168, 368)(169, 369)(170, 370)(171, 371)(172, 372)(173, 373)(174, 374)(175, 375)(176, 376)(177, 377)(178, 378)(179, 379)(180, 380)(181, 381)(182, 382)(183, 383)(184, 384)(185, 385)(186, 386)(187, 387)(188, 388)(189, 389)(190, 390)(191, 391)(192, 392)(193, 393)(194, 394)(195, 395)(196, 396)(197, 397)(198, 398)(199, 399)(200, 400)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E26.1197
Graph:: simple bipartite
	v = 75 e = 200 f = 75
	degree seq :: [ 4^50, 8^25 ]

E26.1200 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C5 x C5) : C4 (small group id <100, 12>)
Aut   = (D10 x D10) : C2 (small group id <200, 43>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1, Y1^-1 * Y2 * Y1^-1 * Y3^-1, R * Y2 * R * Y3^-1, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y1^4, (Y3 * Y2^-1)^2, Y2^4, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1, Y2 * Y3^-1 * Y1^-2 * Y3 * Y1^-2 * Y2^-1 * Y1 * Y3^-1 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 101, 2, 102, 6, 106, 5, 105)(3, 103, 9, 109, 18, 118, 8, 108)(4, 104, 11, 111, 22, 122, 12, 112)(7, 107, 16, 116, 28, 128, 15, 115)(10, 110, 21, 121, 35, 135, 20, 120)(13, 113, 14, 114, 26, 126, 25, 125)(17, 117, 31, 131, 48, 148, 30, 130)(19, 119, 33, 133, 50, 150, 32, 132)(23, 123, 39, 139, 58, 158, 38, 138)(24, 124, 37, 137, 56, 156, 40, 140)(27, 127, 44, 144, 62, 162, 43, 143)(29, 129, 46, 146, 64, 164, 45, 145)(34, 134, 53, 153, 70, 170, 52, 152)(36, 136, 55, 155, 72, 172, 54, 154)(41, 141, 42, 142, 60, 160, 51, 151)(47, 147, 66, 166, 80, 180, 65, 165)(49, 149, 68, 168, 82, 182, 67, 167)(57, 157, 74, 174, 86, 186, 73, 173)(59, 159, 69, 169, 83, 183, 75, 175)(61, 161, 77, 177, 88, 188, 76, 176)(63, 163, 79, 179, 90, 190, 78, 178)(71, 171, 85, 185, 94, 194, 84, 184)(81, 181, 92, 192, 98, 198, 91, 191)(87, 187, 93, 193, 99, 199, 95, 195)(89, 189, 97, 197, 100, 200, 96, 196)(201, 301, 203, 303, 210, 310, 204, 304)(202, 302, 207, 307, 217, 317, 208, 308)(205, 305, 211, 311, 223, 323, 213, 313)(206, 306, 214, 314, 227, 327, 215, 315)(209, 309, 219, 319, 234, 334, 220, 320)(212, 312, 221, 321, 236, 336, 224, 324)(216, 316, 229, 329, 247, 347, 230, 330)(218, 318, 231, 331, 249, 349, 232, 332)(222, 322, 237, 337, 257, 357, 238, 338)(225, 325, 239, 339, 259, 359, 241, 341)(226, 326, 242, 342, 261, 361, 243, 343)(228, 328, 244, 344, 263, 363, 245, 345)(233, 333, 251, 351, 269, 369, 252, 352)(235, 335, 253, 353, 271, 371, 254, 354)(240, 340, 255, 355, 265, 365, 246, 346)(248, 348, 266, 366, 281, 381, 267, 367)(250, 350, 268, 368, 276, 376, 260, 360)(256, 356, 264, 364, 279, 379, 273, 373)(258, 358, 274, 374, 287, 387, 275, 375)(262, 362, 277, 377, 289, 389, 278, 378)(270, 370, 283, 383, 293, 393, 284, 384)(272, 372, 285, 385, 291, 391, 280, 380)(282, 382, 292, 392, 296, 396, 288, 388)(286, 386, 290, 390, 297, 397, 295, 395)(294, 394, 299, 399, 300, 400, 298, 398)
	L = (1, 204)(2, 208)(3, 201)(4, 210)(5, 213)(6, 215)(7, 202)(8, 217)(9, 220)(10, 203)(11, 205)(12, 224)(13, 223)(14, 206)(15, 227)(16, 230)(17, 207)(18, 232)(19, 209)(20, 234)(21, 212)(22, 238)(23, 211)(24, 236)(25, 241)(26, 243)(27, 214)(28, 245)(29, 216)(30, 247)(31, 218)(32, 249)(33, 252)(34, 219)(35, 254)(36, 221)(37, 222)(38, 257)(39, 225)(40, 246)(41, 259)(42, 226)(43, 261)(44, 228)(45, 263)(46, 265)(47, 229)(48, 267)(49, 231)(50, 260)(51, 233)(52, 269)(53, 235)(54, 271)(55, 240)(56, 273)(57, 237)(58, 275)(59, 239)(60, 276)(61, 242)(62, 278)(63, 244)(64, 256)(65, 255)(66, 248)(67, 281)(68, 250)(69, 251)(70, 284)(71, 253)(72, 280)(73, 279)(74, 258)(75, 287)(76, 268)(77, 262)(78, 289)(79, 264)(80, 291)(81, 266)(82, 288)(83, 270)(84, 293)(85, 272)(86, 295)(87, 274)(88, 296)(89, 277)(90, 286)(91, 285)(92, 282)(93, 283)(94, 298)(95, 297)(96, 292)(97, 290)(98, 300)(99, 294)(100, 299)(101, 301)(102, 302)(103, 303)(104, 304)(105, 305)(106, 306)(107, 307)(108, 308)(109, 309)(110, 310)(111, 311)(112, 312)(113, 313)(114, 314)(115, 315)(116, 316)(117, 317)(118, 318)(119, 319)(120, 320)(121, 321)(122, 322)(123, 323)(124, 324)(125, 325)(126, 326)(127, 327)(128, 328)(129, 329)(130, 330)(131, 331)(132, 332)(133, 333)(134, 334)(135, 335)(136, 336)(137, 337)(138, 338)(139, 339)(140, 340)(141, 341)(142, 342)(143, 343)(144, 344)(145, 345)(146, 346)(147, 347)(148, 348)(149, 349)(150, 350)(151, 351)(152, 352)(153, 353)(154, 354)(155, 355)(156, 356)(157, 357)(158, 358)(159, 359)(160, 360)(161, 361)(162, 362)(163, 363)(164, 364)(165, 365)(166, 366)(167, 367)(168, 368)(169, 369)(170, 370)(171, 371)(172, 372)(173, 373)(174, 374)(175, 375)(176, 376)(177, 377)(178, 378)(179, 379)(180, 380)(181, 381)(182, 382)(183, 383)(184, 384)(185, 385)(186, 386)(187, 387)(188, 388)(189, 389)(190, 390)(191, 391)(192, 392)(193, 393)(194, 394)(195, 395)(196, 396)(197, 397)(198, 398)(199, 399)(200, 400)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E26.1193
Graph:: bipartite
	v = 50 e = 200 f = 100
	degree seq :: [ 8^50 ]

E26.1201 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 5, 20})
Quotient :: edge
Aut^+ = C5 x (C5 : C4) (small group id <100, 6>)
Aut   = (C10 x D10) : C2 (small group id <200, 25>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2^5, T1 * T2 * T1^2 * T2^-1 * T1, T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2^-2 * T1 * T2^2 * T1 * T2^2 * T1^-1 * T2^-2 * T1^-1, T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1^-1 * T2^2 * 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 * T2^-1 ]
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, 53, 54, 26)(11, 29, 59, 60, 30)(14, 33, 61, 62, 34)(15, 35, 63, 64, 36)(19, 41, 69, 70, 42)(21, 45, 75, 76, 46)(22, 47, 77, 78, 48)(23, 49, 79, 80, 50)(27, 55, 85, 86, 56)(28, 57, 87, 88, 58)(37, 65, 89, 90, 66)(38, 67, 91, 92, 68)(43, 71, 93, 94, 72)(44, 73, 95, 96, 74)(51, 81, 97, 98, 82)(52, 83, 99, 100, 84)(101, 102, 106, 104)(103, 109, 117, 111)(105, 114, 118, 115)(107, 119, 112, 121)(108, 122, 113, 123)(110, 127, 139, 128)(116, 137, 140, 138)(120, 143, 131, 144)(124, 151, 132, 152)(125, 141, 129, 145)(126, 147, 130, 149)(133, 142, 135, 146)(134, 148, 136, 150)(153, 171, 159, 173)(154, 181, 160, 183)(155, 169, 157, 175)(156, 177, 158, 179)(161, 172, 163, 174)(162, 182, 164, 184)(165, 170, 167, 176)(166, 178, 168, 180)(185, 193, 187, 195)(186, 197, 188, 199)(189, 194, 191, 196)(190, 198, 192, 200)
	L = (1, 101)(2, 102)(3, 103)(4, 104)(5, 105)(6, 106)(7, 107)(8, 108)(9, 109)(10, 110)(11, 111)(12, 112)(13, 113)(14, 114)(15, 115)(16, 116)(17, 117)(18, 118)(19, 119)(20, 120)(21, 121)(22, 122)(23, 123)(24, 124)(25, 125)(26, 126)(27, 127)(28, 128)(29, 129)(30, 130)(31, 131)(32, 132)(33, 133)(34, 134)(35, 135)(36, 136)(37, 137)(38, 138)(39, 139)(40, 140)(41, 141)(42, 142)(43, 143)(44, 144)(45, 145)(46, 146)(47, 147)(48, 148)(49, 149)(50, 150)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 40^4 ), ( 40^5 ) }
Outer automorphisms :: reflexible
Dual of E26.1205
Transitivity :: ET+
Graph:: simple bipartite
	v = 45 e = 100 f = 5
	degree seq :: [ 4^25, 5^20 ]

E26.1202 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 5, 20})
Quotient :: edge
Aut^+ = C5 x (C5 : C4) (small group id <100, 6>)
Aut   = (C10 x D10) : C2 (small group id <200, 25>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^5, T2^-2 * T1 * T2^2 * T1^-1, T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-2, T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1, (T2^-1 * T1^-1)^4, T1^-1 * T2^7 * T1^-1 * T2 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 69, 95, 60, 23, 54, 20, 53, 39, 76, 35, 73, 89, 86, 45, 17, 5)(2, 7, 21, 55, 92, 78, 90, 49, 87, 46, 44, 16, 33, 11, 31, 70, 96, 63, 25, 8)(4, 12, 30, 71, 100, 85, 42, 15, 28, 9, 27, 66, 98, 80, 94, 59, 91, 52, 40, 14)(6, 18, 47, 43, 75, 32, 74, 81, 99, 79, 62, 24, 58, 22, 56, 82, 97, 77, 51, 19)(13, 36, 72, 61, 93, 57, 83, 38, 68, 34, 67, 50, 88, 48, 84, 41, 65, 26, 64, 37)(101, 102, 106, 113, 104)(103, 109, 126, 132, 111)(105, 115, 141, 143, 116)(107, 120, 152, 157, 122)(108, 123, 159, 161, 124)(110, 121, 147, 172, 130)(112, 134, 177, 178, 135)(114, 138, 182, 155, 139)(117, 125, 151, 164, 140)(118, 146, 145, 185, 148)(119, 149, 189, 171, 150)(127, 153, 144, 162, 167)(128, 154, 187, 199, 168)(129, 166, 137, 181, 170)(131, 156, 184, 194, 173)(133, 158, 188, 198, 176)(136, 179, 163, 195, 180)(142, 160, 190, 174, 183)(165, 191, 186, 196, 197)(169, 192, 175, 193, 200)
	L = (1, 101)(2, 102)(3, 103)(4, 104)(5, 105)(6, 106)(7, 107)(8, 108)(9, 109)(10, 110)(11, 111)(12, 112)(13, 113)(14, 114)(15, 115)(16, 116)(17, 117)(18, 118)(19, 119)(20, 120)(21, 121)(22, 122)(23, 123)(24, 124)(25, 125)(26, 126)(27, 127)(28, 128)(29, 129)(30, 130)(31, 131)(32, 132)(33, 133)(34, 134)(35, 135)(36, 136)(37, 137)(38, 138)(39, 139)(40, 140)(41, 141)(42, 142)(43, 143)(44, 144)(45, 145)(46, 146)(47, 147)(48, 148)(49, 149)(50, 150)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 8^5 ), ( 8^20 ) }
Outer automorphisms :: reflexible
Dual of E26.1206
Transitivity :: ET+
Graph:: simple bipartite
	v = 25 e = 100 f = 25
	degree seq :: [ 5^20, 20^5 ]

E26.1203 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 5, 20})
Quotient :: edge
Aut^+ = C5 x (C5 : C4) (small group id <100, 6>)
Aut   = (C10 x D10) : C2 (small group id <200, 25>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2^-2 * T1 * T2, T2^-1 * T1^-2 * T2 * T1^2, T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2, T2^2 * T1^10, T1^-2 * T2 * T1^-4 * T2 * T1^-4 ]
Map:: polytopal 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, 29, 49, 33)(17, 36, 63, 37)(20, 41, 23, 42)(22, 43, 24, 44)(31, 53, 34, 55)(32, 54, 77, 57)(35, 60, 89, 61)(38, 65, 40, 66)(45, 73, 47, 74)(46, 75, 48, 76)(50, 69, 52, 67)(51, 78, 58, 80)(56, 79, 85, 83)(59, 86, 82, 87)(62, 91, 64, 92)(68, 95, 70, 96)(71, 94, 72, 93)(81, 97, 84, 98)(88, 99, 90, 100)(101, 102, 106, 117, 135, 159, 185, 177, 149, 127, 110, 121, 139, 163, 189, 182, 156, 132, 113, 104)(103, 109, 118, 138, 160, 188, 183, 158, 133, 116, 105, 115, 119, 140, 161, 190, 179, 151, 129, 111)(107, 120, 136, 162, 186, 184, 157, 134, 114, 124, 108, 123, 137, 164, 187, 181, 154, 131, 112, 122)(125, 145, 165, 193, 199, 196, 180, 152, 130, 148, 126, 147, 166, 194, 200, 195, 178, 150, 128, 146)(141, 167, 191, 176, 198, 174, 155, 172, 144, 170, 142, 169, 192, 175, 197, 173, 153, 171, 143, 168)
	L = (1, 101)(2, 102)(3, 103)(4, 104)(5, 105)(6, 106)(7, 107)(8, 108)(9, 109)(10, 110)(11, 111)(12, 112)(13, 113)(14, 114)(15, 115)(16, 116)(17, 117)(18, 118)(19, 119)(20, 120)(21, 121)(22, 122)(23, 123)(24, 124)(25, 125)(26, 126)(27, 127)(28, 128)(29, 129)(30, 130)(31, 131)(32, 132)(33, 133)(34, 134)(35, 135)(36, 136)(37, 137)(38, 138)(39, 139)(40, 140)(41, 141)(42, 142)(43, 143)(44, 144)(45, 145)(46, 146)(47, 147)(48, 148)(49, 149)(50, 150)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 10^4 ), ( 10^20 ) }
Outer automorphisms :: reflexible
Dual of E26.1204
Transitivity :: ET+
Graph:: bipartite
	v = 30 e = 100 f = 20
	degree seq :: [ 4^25, 20^5 ]

E26.1204 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 5, 20})
Quotient :: loop
Aut^+ = C5 x (C5 : C4) (small group id <100, 6>)
Aut   = (C10 x D10) : C2 (small group id <200, 25>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2^5, T1 * T2 * T1^2 * T2^-1 * T1, T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2^-2 * T1 * T2^2 * T1 * T2^2 * T1^-1 * T2^-2 * T1^-1, T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1^-1 * T2^2 * 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 * T2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 101, 3, 103, 10, 110, 16, 116, 5, 105)(2, 102, 7, 107, 20, 120, 24, 124, 8, 108)(4, 104, 12, 112, 31, 131, 32, 132, 13, 113)(6, 106, 17, 117, 39, 139, 40, 140, 18, 118)(9, 109, 25, 125, 53, 153, 54, 154, 26, 126)(11, 111, 29, 129, 59, 159, 60, 160, 30, 130)(14, 114, 33, 133, 61, 161, 62, 162, 34, 134)(15, 115, 35, 135, 63, 163, 64, 164, 36, 136)(19, 119, 41, 141, 69, 169, 70, 170, 42, 142)(21, 121, 45, 145, 75, 175, 76, 176, 46, 146)(22, 122, 47, 147, 77, 177, 78, 178, 48, 148)(23, 123, 49, 149, 79, 179, 80, 180, 50, 150)(27, 127, 55, 155, 85, 185, 86, 186, 56, 156)(28, 128, 57, 157, 87, 187, 88, 188, 58, 158)(37, 137, 65, 165, 89, 189, 90, 190, 66, 166)(38, 138, 67, 167, 91, 191, 92, 192, 68, 168)(43, 143, 71, 171, 93, 193, 94, 194, 72, 172)(44, 144, 73, 173, 95, 195, 96, 196, 74, 174)(51, 151, 81, 181, 97, 197, 98, 198, 82, 182)(52, 152, 83, 183, 99, 199, 100, 200, 84, 184)
	L = (1, 102)(2, 106)(3, 109)(4, 101)(5, 114)(6, 104)(7, 119)(8, 122)(9, 117)(10, 127)(11, 103)(12, 121)(13, 123)(14, 118)(15, 105)(16, 137)(17, 111)(18, 115)(19, 112)(20, 143)(21, 107)(22, 113)(23, 108)(24, 151)(25, 141)(26, 147)(27, 139)(28, 110)(29, 145)(30, 149)(31, 144)(32, 152)(33, 142)(34, 148)(35, 146)(36, 150)(37, 140)(38, 116)(39, 128)(40, 138)(41, 129)(42, 135)(43, 131)(44, 120)(45, 125)(46, 133)(47, 130)(48, 136)(49, 126)(50, 134)(51, 132)(52, 124)(53, 171)(54, 181)(55, 169)(56, 177)(57, 175)(58, 179)(59, 173)(60, 183)(61, 172)(62, 182)(63, 174)(64, 184)(65, 170)(66, 178)(67, 176)(68, 180)(69, 157)(70, 167)(71, 159)(72, 163)(73, 153)(74, 161)(75, 155)(76, 165)(77, 158)(78, 168)(79, 156)(80, 166)(81, 160)(82, 164)(83, 154)(84, 162)(85, 193)(86, 197)(87, 195)(88, 199)(89, 194)(90, 198)(91, 196)(92, 200)(93, 187)(94, 191)(95, 185)(96, 189)(97, 188)(98, 192)(99, 186)(100, 190)
	local type(s) :: { ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.1203
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 20 e = 100 f = 30
	degree seq :: [ 10^20 ]

E26.1205 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 5, 20})
Quotient :: loop
Aut^+ = C5 x (C5 : C4) (small group id <100, 6>)
Aut   = (C10 x D10) : C2 (small group id <200, 25>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^5, T2^-2 * T1 * T2^2 * T1^-1, T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-2, T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1, (T2^-1 * T1^-1)^4, T1^-1 * T2^7 * T1^-1 * T2 ]
Map:: non-degenerate
	R = (1, 101, 3, 103, 10, 110, 29, 129, 69, 169, 95, 195, 60, 160, 23, 123, 54, 154, 20, 120, 53, 153, 39, 139, 76, 176, 35, 135, 73, 173, 89, 189, 86, 186, 45, 145, 17, 117, 5, 105)(2, 102, 7, 107, 21, 121, 55, 155, 92, 192, 78, 178, 90, 190, 49, 149, 87, 187, 46, 146, 44, 144, 16, 116, 33, 133, 11, 111, 31, 131, 70, 170, 96, 196, 63, 163, 25, 125, 8, 108)(4, 104, 12, 112, 30, 130, 71, 171, 100, 200, 85, 185, 42, 142, 15, 115, 28, 128, 9, 109, 27, 127, 66, 166, 98, 198, 80, 180, 94, 194, 59, 159, 91, 191, 52, 152, 40, 140, 14, 114)(6, 106, 18, 118, 47, 147, 43, 143, 75, 175, 32, 132, 74, 174, 81, 181, 99, 199, 79, 179, 62, 162, 24, 124, 58, 158, 22, 122, 56, 156, 82, 182, 97, 197, 77, 177, 51, 151, 19, 119)(13, 113, 36, 136, 72, 172, 61, 161, 93, 193, 57, 157, 83, 183, 38, 138, 68, 168, 34, 134, 67, 167, 50, 150, 88, 188, 48, 148, 84, 184, 41, 141, 65, 165, 26, 126, 64, 164, 37, 137)
	L = (1, 102)(2, 106)(3, 109)(4, 101)(5, 115)(6, 113)(7, 120)(8, 123)(9, 126)(10, 121)(11, 103)(12, 134)(13, 104)(14, 138)(15, 141)(16, 105)(17, 125)(18, 146)(19, 149)(20, 152)(21, 147)(22, 107)(23, 159)(24, 108)(25, 151)(26, 132)(27, 153)(28, 154)(29, 166)(30, 110)(31, 156)(32, 111)(33, 158)(34, 177)(35, 112)(36, 179)(37, 181)(38, 182)(39, 114)(40, 117)(41, 143)(42, 160)(43, 116)(44, 162)(45, 185)(46, 145)(47, 172)(48, 118)(49, 189)(50, 119)(51, 164)(52, 157)(53, 144)(54, 187)(55, 139)(56, 184)(57, 122)(58, 188)(59, 161)(60, 190)(61, 124)(62, 167)(63, 195)(64, 140)(65, 191)(66, 137)(67, 127)(68, 128)(69, 192)(70, 129)(71, 150)(72, 130)(73, 131)(74, 183)(75, 193)(76, 133)(77, 178)(78, 135)(79, 163)(80, 136)(81, 170)(82, 155)(83, 142)(84, 194)(85, 148)(86, 196)(87, 199)(88, 198)(89, 171)(90, 174)(91, 186)(92, 175)(93, 200)(94, 173)(95, 180)(96, 197)(97, 165)(98, 176)(99, 168)(100, 169)
	local type(s) :: { ( 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 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 E26.1201
Transitivity :: ET+ VT+ AT
Graph::
	v = 5 e = 100 f = 45
	degree seq :: [ 40^5 ]

E26.1206 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 5, 20})
Quotient :: loop
Aut^+ = C5 x (C5 : C4) (small group id <100, 6>)
Aut   = (C10 x D10) : C2 (small group id <200, 25>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2^-2 * T1 * T2, T2^-1 * T1^-2 * T2 * T1^2, T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2, T2^2 * T1^10, T1^-2 * T2 * T1^-4 * T2 * T1^-4 ]
Map:: non-degenerate
	R = (1, 101, 3, 103, 10, 110, 5, 105)(2, 102, 7, 107, 21, 121, 8, 108)(4, 104, 12, 112, 27, 127, 14, 114)(6, 106, 18, 118, 39, 139, 19, 119)(9, 109, 25, 125, 15, 115, 26, 126)(11, 111, 28, 128, 16, 116, 30, 130)(13, 113, 29, 129, 49, 149, 33, 133)(17, 117, 36, 136, 63, 163, 37, 137)(20, 120, 41, 141, 23, 123, 42, 142)(22, 122, 43, 143, 24, 124, 44, 144)(31, 131, 53, 153, 34, 134, 55, 155)(32, 132, 54, 154, 77, 177, 57, 157)(35, 135, 60, 160, 89, 189, 61, 161)(38, 138, 65, 165, 40, 140, 66, 166)(45, 145, 73, 173, 47, 147, 74, 174)(46, 146, 75, 175, 48, 148, 76, 176)(50, 150, 69, 169, 52, 152, 67, 167)(51, 151, 78, 178, 58, 158, 80, 180)(56, 156, 79, 179, 85, 185, 83, 183)(59, 159, 86, 186, 82, 182, 87, 187)(62, 162, 91, 191, 64, 164, 92, 192)(68, 168, 95, 195, 70, 170, 96, 196)(71, 171, 94, 194, 72, 172, 93, 193)(81, 181, 97, 197, 84, 184, 98, 198)(88, 188, 99, 199, 90, 190, 100, 200)
	L = (1, 102)(2, 106)(3, 109)(4, 101)(5, 115)(6, 117)(7, 120)(8, 123)(9, 118)(10, 121)(11, 103)(12, 122)(13, 104)(14, 124)(15, 119)(16, 105)(17, 135)(18, 138)(19, 140)(20, 136)(21, 139)(22, 107)(23, 137)(24, 108)(25, 145)(26, 147)(27, 110)(28, 146)(29, 111)(30, 148)(31, 112)(32, 113)(33, 116)(34, 114)(35, 159)(36, 162)(37, 164)(38, 160)(39, 163)(40, 161)(41, 167)(42, 169)(43, 168)(44, 170)(45, 165)(46, 125)(47, 166)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 171)(54, 131)(55, 172)(56, 132)(57, 134)(58, 133)(59, 185)(60, 188)(61, 190)(62, 186)(63, 189)(64, 187)(65, 193)(66, 194)(67, 191)(68, 141)(69, 192)(70, 142)(71, 143)(72, 144)(73, 153)(74, 155)(75, 197)(76, 198)(77, 149)(78, 150)(79, 151)(80, 152)(81, 154)(82, 156)(83, 158)(84, 157)(85, 177)(86, 184)(87, 181)(88, 183)(89, 182)(90, 179)(91, 176)(92, 175)(93, 199)(94, 200)(95, 178)(96, 180)(97, 173)(98, 174)(99, 196)(100, 195)
	local type(s) :: { ( 5, 20, 5, 20, 5, 20, 5, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.1202
Transitivity :: ET+ VT+ AT
Graph::
	v = 25 e = 100 f = 25
	degree seq :: [ 8^25 ]

E26.1207 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 5, 20})
Quotient :: dipole
Aut^+ = C5 x (C5 : C4) (small group id <100, 6>)
Aut   = (C10 x D10) : C2 (small group id <200, 25>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^4, Y1^4, (R * Y3)^2, (R * Y1)^2, Y2^5, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y1^2 * Y2 * Y1, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y3^-1 * Y2^-1 * Y1^-1 * Y3 * Y2 * Y1, Y2^-1 * Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y2^-1 * Y3 * Y2^-2 * Y1 * Y2 * Y3^-1 * Y2^2 * Y1^-1, Y2^2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1^-1 * Y2^-2 * Y1^-1, Y2^2 * Y3 * Y2^2 * Y1 * Y2^-2 * Y3^-1 * Y2^-2 * Y1^-1, (Y3 * Y2^-1)^20 ]
Map::
	R = (1, 101, 2, 102, 6, 106, 4, 104)(3, 103, 9, 109, 17, 117, 11, 111)(5, 105, 14, 114, 18, 118, 15, 115)(7, 107, 19, 119, 12, 112, 21, 121)(8, 108, 22, 122, 13, 113, 23, 123)(10, 110, 27, 127, 39, 139, 28, 128)(16, 116, 37, 137, 40, 140, 38, 138)(20, 120, 43, 143, 31, 131, 44, 144)(24, 124, 51, 151, 32, 132, 52, 152)(25, 125, 41, 141, 29, 129, 45, 145)(26, 126, 47, 147, 30, 130, 49, 149)(33, 133, 42, 142, 35, 135, 46, 146)(34, 134, 48, 148, 36, 136, 50, 150)(53, 153, 71, 171, 59, 159, 73, 173)(54, 154, 81, 181, 60, 160, 83, 183)(55, 155, 69, 169, 57, 157, 75, 175)(56, 156, 77, 177, 58, 158, 79, 179)(61, 161, 72, 172, 63, 163, 74, 174)(62, 162, 82, 182, 64, 164, 84, 184)(65, 165, 70, 170, 67, 167, 76, 176)(66, 166, 78, 178, 68, 168, 80, 180)(85, 185, 93, 193, 87, 187, 95, 195)(86, 186, 97, 197, 88, 188, 99, 199)(89, 189, 94, 194, 91, 191, 96, 196)(90, 190, 98, 198, 92, 192, 100, 200)(201, 301, 203, 303, 210, 310, 216, 316, 205, 305)(202, 302, 207, 307, 220, 320, 224, 324, 208, 308)(204, 304, 212, 312, 231, 331, 232, 332, 213, 313)(206, 306, 217, 317, 239, 339, 240, 340, 218, 318)(209, 309, 225, 325, 253, 353, 254, 354, 226, 326)(211, 311, 229, 329, 259, 359, 260, 360, 230, 330)(214, 314, 233, 333, 261, 361, 262, 362, 234, 334)(215, 315, 235, 335, 263, 363, 264, 364, 236, 336)(219, 319, 241, 341, 269, 369, 270, 370, 242, 342)(221, 321, 245, 345, 275, 375, 276, 376, 246, 346)(222, 322, 247, 347, 277, 377, 278, 378, 248, 348)(223, 323, 249, 349, 279, 379, 280, 380, 250, 350)(227, 327, 255, 355, 285, 385, 286, 386, 256, 356)(228, 328, 257, 357, 287, 387, 288, 388, 258, 358)(237, 337, 265, 365, 289, 389, 290, 390, 266, 366)(238, 338, 267, 367, 291, 391, 292, 392, 268, 368)(243, 343, 271, 371, 293, 393, 294, 394, 272, 372)(244, 344, 273, 373, 295, 395, 296, 396, 274, 374)(251, 351, 281, 381, 297, 397, 298, 398, 282, 382)(252, 352, 283, 383, 299, 399, 300, 400, 284, 384)
	L = (1, 204)(2, 201)(3, 211)(4, 206)(5, 215)(6, 202)(7, 221)(8, 223)(9, 203)(10, 228)(11, 217)(12, 219)(13, 222)(14, 205)(15, 218)(16, 238)(17, 209)(18, 214)(19, 207)(20, 244)(21, 212)(22, 208)(23, 213)(24, 252)(25, 245)(26, 249)(27, 210)(28, 239)(29, 241)(30, 247)(31, 243)(32, 251)(33, 246)(34, 250)(35, 242)(36, 248)(37, 216)(38, 240)(39, 227)(40, 237)(41, 225)(42, 233)(43, 220)(44, 231)(45, 229)(46, 235)(47, 226)(48, 234)(49, 230)(50, 236)(51, 224)(52, 232)(53, 273)(54, 283)(55, 275)(56, 279)(57, 269)(58, 277)(59, 271)(60, 281)(61, 274)(62, 284)(63, 272)(64, 282)(65, 276)(66, 280)(67, 270)(68, 278)(69, 255)(70, 265)(71, 253)(72, 261)(73, 259)(74, 263)(75, 257)(76, 267)(77, 256)(78, 266)(79, 258)(80, 268)(81, 254)(82, 262)(83, 260)(84, 264)(85, 295)(86, 299)(87, 293)(88, 297)(89, 296)(90, 300)(91, 294)(92, 298)(93, 285)(94, 289)(95, 287)(96, 291)(97, 286)(98, 290)(99, 288)(100, 292)(101, 301)(102, 302)(103, 303)(104, 304)(105, 305)(106, 306)(107, 307)(108, 308)(109, 309)(110, 310)(111, 311)(112, 312)(113, 313)(114, 314)(115, 315)(116, 316)(117, 317)(118, 318)(119, 319)(120, 320)(121, 321)(122, 322)(123, 323)(124, 324)(125, 325)(126, 326)(127, 327)(128, 328)(129, 329)(130, 330)(131, 331)(132, 332)(133, 333)(134, 334)(135, 335)(136, 336)(137, 337)(138, 338)(139, 339)(140, 340)(141, 341)(142, 342)(143, 343)(144, 344)(145, 345)(146, 346)(147, 347)(148, 348)(149, 349)(150, 350)(151, 351)(152, 352)(153, 353)(154, 354)(155, 355)(156, 356)(157, 357)(158, 358)(159, 359)(160, 360)(161, 361)(162, 362)(163, 363)(164, 364)(165, 365)(166, 366)(167, 367)(168, 368)(169, 369)(170, 370)(171, 371)(172, 372)(173, 373)(174, 374)(175, 375)(176, 376)(177, 377)(178, 378)(179, 379)(180, 380)(181, 381)(182, 382)(183, 383)(184, 384)(185, 385)(186, 386)(187, 387)(188, 388)(189, 389)(190, 390)(191, 391)(192, 392)(193, 393)(194, 394)(195, 395)(196, 396)(197, 397)(198, 398)(199, 399)(200, 400)
	local type(s) :: { ( 2, 40, 2, 40, 2, 40, 2, 40 ), ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40 ) }
Outer automorphisms :: reflexible
Dual of E26.1210
Graph:: bipartite
	v = 45 e = 200 f = 105
	degree seq :: [ 8^25, 10^20 ]

E26.1208 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 5, 20})
Quotient :: dipole
Aut^+ = C5 x (C5 : C4) (small group id <100, 6>)
Aut   = (C10 x D10) : C2 (small group id <200, 25>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^5, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y2^2 * Y1^2 * Y2^-2 * Y1^-2, Y2^-1 * Y1^-2 * Y2^-1 * Y1^-2 * Y2^-2, Y1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1, (Y3^-1 * Y1^-1)^4, Y2 * Y1^-1 * Y2^2 * Y1^-2 * Y2 * Y1^2, Y2^5 * Y1^-1 * Y2^3 * Y1^-1 ]
Map::
	R = (1, 101, 2, 102, 6, 106, 13, 113, 4, 104)(3, 103, 9, 109, 26, 126, 32, 132, 11, 111)(5, 105, 15, 115, 41, 141, 43, 143, 16, 116)(7, 107, 20, 120, 52, 152, 57, 157, 22, 122)(8, 108, 23, 123, 59, 159, 61, 161, 24, 124)(10, 110, 21, 121, 47, 147, 72, 172, 30, 130)(12, 112, 34, 134, 77, 177, 78, 178, 35, 135)(14, 114, 38, 138, 82, 182, 55, 155, 39, 139)(17, 117, 25, 125, 51, 151, 64, 164, 40, 140)(18, 118, 46, 146, 45, 145, 85, 185, 48, 148)(19, 119, 49, 149, 89, 189, 71, 171, 50, 150)(27, 127, 53, 153, 44, 144, 62, 162, 67, 167)(28, 128, 54, 154, 87, 187, 99, 199, 68, 168)(29, 129, 66, 166, 37, 137, 81, 181, 70, 170)(31, 131, 56, 156, 84, 184, 94, 194, 73, 173)(33, 133, 58, 158, 88, 188, 98, 198, 76, 176)(36, 136, 79, 179, 63, 163, 95, 195, 80, 180)(42, 142, 60, 160, 90, 190, 74, 174, 83, 183)(65, 165, 91, 191, 86, 186, 96, 196, 97, 197)(69, 169, 92, 192, 75, 175, 93, 193, 100, 200)(201, 301, 203, 303, 210, 310, 229, 329, 269, 369, 295, 395, 260, 360, 223, 323, 254, 354, 220, 320, 253, 353, 239, 339, 276, 376, 235, 335, 273, 373, 289, 389, 286, 386, 245, 345, 217, 317, 205, 305)(202, 302, 207, 307, 221, 321, 255, 355, 292, 392, 278, 378, 290, 390, 249, 349, 287, 387, 246, 346, 244, 344, 216, 316, 233, 333, 211, 311, 231, 331, 270, 370, 296, 396, 263, 363, 225, 325, 208, 308)(204, 304, 212, 312, 230, 330, 271, 371, 300, 400, 285, 385, 242, 342, 215, 315, 228, 328, 209, 309, 227, 327, 266, 366, 298, 398, 280, 380, 294, 394, 259, 359, 291, 391, 252, 352, 240, 340, 214, 314)(206, 306, 218, 318, 247, 347, 243, 343, 275, 375, 232, 332, 274, 374, 281, 381, 299, 399, 279, 379, 262, 362, 224, 324, 258, 358, 222, 322, 256, 356, 282, 382, 297, 397, 277, 377, 251, 351, 219, 319)(213, 313, 236, 336, 272, 372, 261, 361, 293, 393, 257, 357, 283, 383, 238, 338, 268, 368, 234, 334, 267, 367, 250, 350, 288, 388, 248, 348, 284, 384, 241, 341, 265, 365, 226, 326, 264, 364, 237, 337)
	L = (1, 203)(2, 207)(3, 210)(4, 212)(5, 201)(6, 218)(7, 221)(8, 202)(9, 227)(10, 229)(11, 231)(12, 230)(13, 236)(14, 204)(15, 228)(16, 233)(17, 205)(18, 247)(19, 206)(20, 253)(21, 255)(22, 256)(23, 254)(24, 258)(25, 208)(26, 264)(27, 266)(28, 209)(29, 269)(30, 271)(31, 270)(32, 274)(33, 211)(34, 267)(35, 273)(36, 272)(37, 213)(38, 268)(39, 276)(40, 214)(41, 265)(42, 215)(43, 275)(44, 216)(45, 217)(46, 244)(47, 243)(48, 284)(49, 287)(50, 288)(51, 219)(52, 240)(53, 239)(54, 220)(55, 292)(56, 282)(57, 283)(58, 222)(59, 291)(60, 223)(61, 293)(62, 224)(63, 225)(64, 237)(65, 226)(66, 298)(67, 250)(68, 234)(69, 295)(70, 296)(71, 300)(72, 261)(73, 289)(74, 281)(75, 232)(76, 235)(77, 251)(78, 290)(79, 262)(80, 294)(81, 299)(82, 297)(83, 238)(84, 241)(85, 242)(86, 245)(87, 246)(88, 248)(89, 286)(90, 249)(91, 252)(92, 278)(93, 257)(94, 259)(95, 260)(96, 263)(97, 277)(98, 280)(99, 279)(100, 285)(101, 301)(102, 302)(103, 303)(104, 304)(105, 305)(106, 306)(107, 307)(108, 308)(109, 309)(110, 310)(111, 311)(112, 312)(113, 313)(114, 314)(115, 315)(116, 316)(117, 317)(118, 318)(119, 319)(120, 320)(121, 321)(122, 322)(123, 323)(124, 324)(125, 325)(126, 326)(127, 327)(128, 328)(129, 329)(130, 330)(131, 331)(132, 332)(133, 333)(134, 334)(135, 335)(136, 336)(137, 337)(138, 338)(139, 339)(140, 340)(141, 341)(142, 342)(143, 343)(144, 344)(145, 345)(146, 346)(147, 347)(148, 348)(149, 349)(150, 350)(151, 351)(152, 352)(153, 353)(154, 354)(155, 355)(156, 356)(157, 357)(158, 358)(159, 359)(160, 360)(161, 361)(162, 362)(163, 363)(164, 364)(165, 365)(166, 366)(167, 367)(168, 368)(169, 369)(170, 370)(171, 371)(172, 372)(173, 373)(174, 374)(175, 375)(176, 376)(177, 377)(178, 378)(179, 379)(180, 380)(181, 381)(182, 382)(183, 383)(184, 384)(185, 385)(186, 386)(187, 387)(188, 388)(189, 389)(190, 390)(191, 391)(192, 392)(193, 393)(194, 394)(195, 395)(196, 396)(197, 397)(198, 398)(199, 399)(200, 400)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1209
Graph:: bipartite
	v = 25 e = 200 f = 125
	degree seq :: [ 10^20, 40^5 ]

E26.1209 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 5, 20})
Quotient :: dipole
Aut^+ = C5 x (C5 : C4) (small group id <100, 6>)
Aut   = (C10 x D10) : C2 (small group id <200, 25>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y2^4, Y3^-1 * Y2^-1 * Y3^2 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2^2 * Y3 * Y2^-1, (Y3 * Y2^-1)^5, Y3^2 * Y2^-1 * Y3^8 * Y2^-1, (Y3^-1 * Y1^-1)^20 ]
Map::
	R = (1, 101)(2, 102)(3, 103)(4, 104)(5, 105)(6, 106)(7, 107)(8, 108)(9, 109)(10, 110)(11, 111)(12, 112)(13, 113)(14, 114)(15, 115)(16, 116)(17, 117)(18, 118)(19, 119)(20, 120)(21, 121)(22, 122)(23, 123)(24, 124)(25, 125)(26, 126)(27, 127)(28, 128)(29, 129)(30, 130)(31, 131)(32, 132)(33, 133)(34, 134)(35, 135)(36, 136)(37, 137)(38, 138)(39, 139)(40, 140)(41, 141)(42, 142)(43, 143)(44, 144)(45, 145)(46, 146)(47, 147)(48, 148)(49, 149)(50, 150)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)(201, 301, 202, 302, 206, 306, 204, 304)(203, 303, 209, 309, 217, 317, 211, 311)(205, 305, 214, 314, 218, 318, 215, 315)(207, 307, 219, 319, 212, 312, 221, 321)(208, 308, 222, 322, 213, 313, 223, 323)(210, 310, 220, 320, 235, 335, 228, 328)(216, 316, 224, 324, 236, 336, 231, 331)(225, 325, 245, 345, 229, 329, 247, 347)(226, 326, 248, 348, 230, 330, 249, 349)(227, 327, 246, 346, 259, 359, 251, 351)(232, 332, 254, 354, 233, 333, 255, 355)(234, 334, 256, 356, 260, 360, 257, 357)(237, 337, 261, 361, 240, 340, 263, 363)(238, 338, 264, 364, 241, 341, 265, 365)(239, 339, 262, 362, 252, 352, 267, 367)(242, 342, 268, 368, 243, 343, 269, 369)(244, 344, 270, 370, 253, 353, 271, 371)(250, 350, 266, 366, 285, 385, 279, 379)(258, 358, 272, 372, 286, 386, 281, 381)(273, 373, 295, 395, 275, 375, 294, 394)(274, 374, 290, 390, 280, 380, 291, 391)(276, 376, 288, 388, 277, 377, 293, 393)(278, 378, 297, 397, 284, 384, 298, 398)(282, 382, 289, 389, 283, 383, 287, 387)(292, 392, 299, 399, 296, 396, 300, 400)
	L = (1, 203)(2, 207)(3, 210)(4, 212)(5, 201)(6, 217)(7, 220)(8, 202)(9, 225)(10, 227)(11, 229)(12, 228)(13, 204)(14, 226)(15, 230)(16, 205)(17, 235)(18, 206)(19, 237)(20, 239)(21, 240)(22, 238)(23, 241)(24, 208)(25, 246)(26, 209)(27, 250)(28, 252)(29, 251)(30, 211)(31, 213)(32, 214)(33, 215)(34, 216)(35, 259)(36, 218)(37, 262)(38, 219)(39, 266)(40, 267)(41, 221)(42, 222)(43, 223)(44, 224)(45, 268)(46, 274)(47, 269)(48, 273)(49, 275)(50, 278)(51, 280)(52, 279)(53, 231)(54, 276)(55, 277)(56, 232)(57, 233)(58, 234)(59, 285)(60, 236)(61, 255)(62, 288)(63, 254)(64, 287)(65, 289)(66, 292)(67, 293)(68, 290)(69, 291)(70, 242)(71, 243)(72, 244)(73, 245)(74, 297)(75, 247)(76, 248)(77, 249)(78, 286)(79, 296)(80, 298)(81, 253)(82, 256)(83, 257)(84, 258)(85, 284)(86, 260)(87, 261)(88, 299)(89, 263)(90, 264)(91, 265)(92, 281)(93, 300)(94, 270)(95, 271)(96, 272)(97, 283)(98, 282)(99, 295)(100, 294)(101, 301)(102, 302)(103, 303)(104, 304)(105, 305)(106, 306)(107, 307)(108, 308)(109, 309)(110, 310)(111, 311)(112, 312)(113, 313)(114, 314)(115, 315)(116, 316)(117, 317)(118, 318)(119, 319)(120, 320)(121, 321)(122, 322)(123, 323)(124, 324)(125, 325)(126, 326)(127, 327)(128, 328)(129, 329)(130, 330)(131, 331)(132, 332)(133, 333)(134, 334)(135, 335)(136, 336)(137, 337)(138, 338)(139, 339)(140, 340)(141, 341)(142, 342)(143, 343)(144, 344)(145, 345)(146, 346)(147, 347)(148, 348)(149, 349)(150, 350)(151, 351)(152, 352)(153, 353)(154, 354)(155, 355)(156, 356)(157, 357)(158, 358)(159, 359)(160, 360)(161, 361)(162, 362)(163, 363)(164, 364)(165, 365)(166, 366)(167, 367)(168, 368)(169, 369)(170, 370)(171, 371)(172, 372)(173, 373)(174, 374)(175, 375)(176, 376)(177, 377)(178, 378)(179, 379)(180, 380)(181, 381)(182, 382)(183, 383)(184, 384)(185, 385)(186, 386)(187, 387)(188, 388)(189, 389)(190, 390)(191, 391)(192, 392)(193, 393)(194, 394)(195, 395)(196, 396)(197, 397)(198, 398)(199, 399)(200, 400)
	local type(s) :: { ( 10, 40 ), ( 10, 40, 10, 40, 10, 40, 10, 40 ) }
Outer automorphisms :: reflexible
Dual of E26.1208
Graph:: simple bipartite
	v = 125 e = 200 f = 25
	degree seq :: [ 2^100, 8^25 ]

E26.1210 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 5, 20})
Quotient :: dipole
Aut^+ = C5 x (C5 : C4) (small group id <100, 6>)
Aut   = (C10 x D10) : C2 (small group id <200, 25>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y3 * Y1^-1 * Y3^-2 * Y1 * Y3, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, (Y3 * Y2^-1)^4, Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3, Y1^-1 * Y3^-2 * Y1^-9 ]
Map::
	R = (1, 101, 2, 102, 6, 106, 17, 117, 35, 135, 59, 159, 85, 185, 77, 177, 49, 149, 27, 127, 10, 110, 21, 121, 39, 139, 63, 163, 89, 189, 82, 182, 56, 156, 32, 132, 13, 113, 4, 104)(3, 103, 9, 109, 18, 118, 38, 138, 60, 160, 88, 188, 83, 183, 58, 158, 33, 133, 16, 116, 5, 105, 15, 115, 19, 119, 40, 140, 61, 161, 90, 190, 79, 179, 51, 151, 29, 129, 11, 111)(7, 107, 20, 120, 36, 136, 62, 162, 86, 186, 84, 184, 57, 157, 34, 134, 14, 114, 24, 124, 8, 108, 23, 123, 37, 137, 64, 164, 87, 187, 81, 181, 54, 154, 31, 131, 12, 112, 22, 122)(25, 125, 45, 145, 65, 165, 93, 193, 99, 199, 96, 196, 80, 180, 52, 152, 30, 130, 48, 148, 26, 126, 47, 147, 66, 166, 94, 194, 100, 200, 95, 195, 78, 178, 50, 150, 28, 128, 46, 146)(41, 141, 67, 167, 91, 191, 76, 176, 98, 198, 74, 174, 55, 155, 72, 172, 44, 144, 70, 170, 42, 142, 69, 169, 92, 192, 75, 175, 97, 197, 73, 173, 53, 153, 71, 171, 43, 143, 68, 168)(201, 301)(202, 302)(203, 303)(204, 304)(205, 305)(206, 306)(207, 307)(208, 308)(209, 309)(210, 310)(211, 311)(212, 312)(213, 313)(214, 314)(215, 315)(216, 316)(217, 317)(218, 318)(219, 319)(220, 320)(221, 321)(222, 322)(223, 323)(224, 324)(225, 325)(226, 326)(227, 327)(228, 328)(229, 329)(230, 330)(231, 331)(232, 332)(233, 333)(234, 334)(235, 335)(236, 336)(237, 337)(238, 338)(239, 339)(240, 340)(241, 341)(242, 342)(243, 343)(244, 344)(245, 345)(246, 346)(247, 347)(248, 348)(249, 349)(250, 350)(251, 351)(252, 352)(253, 353)(254, 354)(255, 355)(256, 356)(257, 357)(258, 358)(259, 359)(260, 360)(261, 361)(262, 362)(263, 363)(264, 364)(265, 365)(266, 366)(267, 367)(268, 368)(269, 369)(270, 370)(271, 371)(272, 372)(273, 373)(274, 374)(275, 375)(276, 376)(277, 377)(278, 378)(279, 379)(280, 380)(281, 381)(282, 382)(283, 383)(284, 384)(285, 385)(286, 386)(287, 387)(288, 388)(289, 389)(290, 390)(291, 391)(292, 392)(293, 393)(294, 394)(295, 395)(296, 396)(297, 397)(298, 398)(299, 399)(300, 400)
	L = (1, 203)(2, 207)(3, 210)(4, 212)(5, 201)(6, 218)(7, 221)(8, 202)(9, 225)(10, 205)(11, 228)(12, 227)(13, 229)(14, 204)(15, 226)(16, 230)(17, 236)(18, 239)(19, 206)(20, 241)(21, 208)(22, 243)(23, 242)(24, 244)(25, 215)(26, 209)(27, 214)(28, 216)(29, 249)(30, 211)(31, 253)(32, 254)(33, 213)(34, 255)(35, 260)(36, 263)(37, 217)(38, 265)(39, 219)(40, 266)(41, 223)(42, 220)(43, 224)(44, 222)(45, 273)(46, 275)(47, 274)(48, 276)(49, 233)(50, 269)(51, 278)(52, 267)(53, 234)(54, 277)(55, 231)(56, 279)(57, 232)(58, 280)(59, 286)(60, 289)(61, 235)(62, 291)(63, 237)(64, 292)(65, 240)(66, 238)(67, 250)(68, 295)(69, 252)(70, 296)(71, 294)(72, 293)(73, 247)(74, 245)(75, 248)(76, 246)(77, 257)(78, 258)(79, 285)(80, 251)(81, 297)(82, 287)(83, 256)(84, 298)(85, 283)(86, 282)(87, 259)(88, 299)(89, 261)(90, 300)(91, 264)(92, 262)(93, 271)(94, 272)(95, 270)(96, 268)(97, 284)(98, 281)(99, 290)(100, 288)(101, 301)(102, 302)(103, 303)(104, 304)(105, 305)(106, 306)(107, 307)(108, 308)(109, 309)(110, 310)(111, 311)(112, 312)(113, 313)(114, 314)(115, 315)(116, 316)(117, 317)(118, 318)(119, 319)(120, 320)(121, 321)(122, 322)(123, 323)(124, 324)(125, 325)(126, 326)(127, 327)(128, 328)(129, 329)(130, 330)(131, 331)(132, 332)(133, 333)(134, 334)(135, 335)(136, 336)(137, 337)(138, 338)(139, 339)(140, 340)(141, 341)(142, 342)(143, 343)(144, 344)(145, 345)(146, 346)(147, 347)(148, 348)(149, 349)(150, 350)(151, 351)(152, 352)(153, 353)(154, 354)(155, 355)(156, 356)(157, 357)(158, 358)(159, 359)(160, 360)(161, 361)(162, 362)(163, 363)(164, 364)(165, 365)(166, 366)(167, 367)(168, 368)(169, 369)(170, 370)(171, 371)(172, 372)(173, 373)(174, 374)(175, 375)(176, 376)(177, 377)(178, 378)(179, 379)(180, 380)(181, 381)(182, 382)(183, 383)(184, 384)(185, 385)(186, 386)(187, 387)(188, 388)(189, 389)(190, 390)(191, 391)(192, 392)(193, 393)(194, 394)(195, 395)(196, 396)(197, 397)(198, 398)(199, 399)(200, 400)
	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, 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 E26.1207
Graph:: simple bipartite
	v = 105 e = 200 f = 45
	degree seq :: [ 2^100, 40^5 ]

E26.1211 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 5, 20})
Quotient :: dipole
Aut^+ = C5 x (C5 : C4) (small group id <100, 6>)
Aut   = (C10 x D10) : C2 (small group id <200, 25>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y3)^2, Y1^4, (R * Y1)^2, Y1 * Y2^-1 * Y1^-1 * Y3 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^2 * Y1^-1 * Y2^-1, Y2^-1 * Y3 * Y2^2 * Y3^-1 * Y2^-1, Y2 * Y1^-2 * Y2^-1 * Y1^-2, (Y2^-1 * R * Y2^-1)^2, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y1^-1, (Y3 * Y2^-1)^5, Y2^8 * Y1 * Y2^2 * Y1 ]
Map::
	R = (1, 101, 2, 102, 6, 106, 4, 104)(3, 103, 9, 109, 17, 117, 11, 111)(5, 105, 14, 114, 18, 118, 15, 115)(7, 107, 19, 119, 12, 112, 21, 121)(8, 108, 22, 122, 13, 113, 23, 123)(10, 110, 20, 120, 35, 135, 28, 128)(16, 116, 24, 124, 36, 136, 31, 131)(25, 125, 45, 145, 29, 129, 47, 147)(26, 126, 48, 148, 30, 130, 49, 149)(27, 127, 46, 146, 59, 159, 51, 151)(32, 132, 54, 154, 33, 133, 55, 155)(34, 134, 56, 156, 60, 160, 57, 157)(37, 137, 61, 161, 40, 140, 63, 163)(38, 138, 64, 164, 41, 141, 65, 165)(39, 139, 62, 162, 52, 152, 67, 167)(42, 142, 68, 168, 43, 143, 69, 169)(44, 144, 70, 170, 53, 153, 71, 171)(50, 150, 66, 166, 85, 185, 79, 179)(58, 158, 72, 172, 86, 186, 81, 181)(73, 173, 94, 194, 75, 175, 95, 195)(74, 174, 91, 191, 80, 180, 90, 190)(76, 176, 93, 193, 77, 177, 88, 188)(78, 178, 97, 197, 84, 184, 98, 198)(82, 182, 87, 187, 83, 183, 89, 189)(92, 192, 99, 199, 96, 196, 100, 200)(201, 301, 203, 303, 210, 310, 227, 327, 250, 350, 278, 378, 286, 386, 260, 360, 236, 336, 218, 318, 206, 306, 217, 317, 235, 335, 259, 359, 285, 385, 284, 384, 258, 358, 234, 334, 216, 316, 205, 305)(202, 302, 207, 307, 220, 320, 239, 339, 266, 366, 292, 392, 281, 381, 253, 353, 231, 331, 213, 313, 204, 304, 212, 312, 228, 328, 252, 352, 279, 379, 296, 396, 272, 372, 244, 344, 224, 324, 208, 308)(209, 309, 225, 325, 246, 346, 274, 374, 297, 397, 283, 383, 257, 357, 233, 333, 215, 315, 230, 330, 211, 311, 229, 329, 251, 351, 280, 380, 298, 398, 282, 382, 256, 356, 232, 332, 214, 314, 226, 326)(219, 319, 237, 337, 262, 362, 288, 388, 299, 399, 295, 395, 271, 371, 243, 343, 223, 323, 241, 341, 221, 321, 240, 340, 267, 367, 293, 393, 300, 400, 294, 394, 270, 370, 242, 342, 222, 322, 238, 338)(245, 345, 269, 369, 291, 391, 265, 365, 289, 389, 263, 363, 255, 355, 277, 377, 249, 349, 275, 375, 247, 347, 268, 368, 290, 390, 264, 364, 287, 387, 261, 361, 254, 354, 276, 376, 248, 348, 273, 373)
	L = (1, 204)(2, 201)(3, 211)(4, 206)(5, 215)(6, 202)(7, 221)(8, 223)(9, 203)(10, 228)(11, 217)(12, 219)(13, 222)(14, 205)(15, 218)(16, 231)(17, 209)(18, 214)(19, 207)(20, 210)(21, 212)(22, 208)(23, 213)(24, 216)(25, 247)(26, 249)(27, 251)(28, 235)(29, 245)(30, 248)(31, 236)(32, 255)(33, 254)(34, 257)(35, 220)(36, 224)(37, 263)(38, 265)(39, 267)(40, 261)(41, 264)(42, 269)(43, 268)(44, 271)(45, 225)(46, 227)(47, 229)(48, 226)(49, 230)(50, 279)(51, 259)(52, 262)(53, 270)(54, 232)(55, 233)(56, 234)(57, 260)(58, 281)(59, 246)(60, 256)(61, 237)(62, 239)(63, 240)(64, 238)(65, 241)(66, 250)(67, 252)(68, 242)(69, 243)(70, 244)(71, 253)(72, 258)(73, 295)(74, 290)(75, 294)(76, 288)(77, 293)(78, 298)(79, 285)(80, 291)(81, 286)(82, 289)(83, 287)(84, 297)(85, 266)(86, 272)(87, 282)(88, 277)(89, 283)(90, 280)(91, 274)(92, 300)(93, 276)(94, 273)(95, 275)(96, 299)(97, 278)(98, 284)(99, 292)(100, 296)(101, 301)(102, 302)(103, 303)(104, 304)(105, 305)(106, 306)(107, 307)(108, 308)(109, 309)(110, 310)(111, 311)(112, 312)(113, 313)(114, 314)(115, 315)(116, 316)(117, 317)(118, 318)(119, 319)(120, 320)(121, 321)(122, 322)(123, 323)(124, 324)(125, 325)(126, 326)(127, 327)(128, 328)(129, 329)(130, 330)(131, 331)(132, 332)(133, 333)(134, 334)(135, 335)(136, 336)(137, 337)(138, 338)(139, 339)(140, 340)(141, 341)(142, 342)(143, 343)(144, 344)(145, 345)(146, 346)(147, 347)(148, 348)(149, 349)(150, 350)(151, 351)(152, 352)(153, 353)(154, 354)(155, 355)(156, 356)(157, 357)(158, 358)(159, 359)(160, 360)(161, 361)(162, 362)(163, 363)(164, 364)(165, 365)(166, 366)(167, 367)(168, 368)(169, 369)(170, 370)(171, 371)(172, 372)(173, 373)(174, 374)(175, 375)(176, 376)(177, 377)(178, 378)(179, 379)(180, 380)(181, 381)(182, 382)(183, 383)(184, 384)(185, 385)(186, 386)(187, 387)(188, 388)(189, 389)(190, 390)(191, 391)(192, 392)(193, 393)(194, 394)(195, 395)(196, 396)(197, 397)(198, 398)(199, 399)(200, 400)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1212
Graph:: bipartite
	v = 30 e = 200 f = 120
	degree seq :: [ 8^25, 40^5 ]

E26.1212 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 5, 20})
Quotient :: dipole
Aut^+ = C5 x (C5 : C4) (small group id <100, 6>)
Aut   = (C10 x D10) : C2 (small group id <200, 25>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^5, Y1^-1 * Y3^-2 * Y1 * Y3^2, Y3 * Y1 * Y3^-2 * Y1^-1 * Y3, (R * Y2 * Y3^-1)^2, Y1 * Y3^2 * Y1 * Y3 * Y1^2 * Y3, Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-2, Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3^5 * Y1^-1 * Y3^3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-1, (Y3 * Y2^-1)^20 ]
Map:: polytopal
	R = (1, 101, 2, 102, 6, 106, 13, 113, 4, 104)(3, 103, 9, 109, 26, 126, 32, 132, 11, 111)(5, 105, 15, 115, 41, 141, 43, 143, 16, 116)(7, 107, 20, 120, 52, 152, 57, 157, 22, 122)(8, 108, 23, 123, 59, 159, 61, 161, 24, 124)(10, 110, 21, 121, 47, 147, 72, 172, 30, 130)(12, 112, 34, 134, 77, 177, 78, 178, 35, 135)(14, 114, 38, 138, 82, 182, 55, 155, 39, 139)(17, 117, 25, 125, 51, 151, 64, 164, 40, 140)(18, 118, 46, 146, 45, 145, 85, 185, 48, 148)(19, 119, 49, 149, 89, 189, 71, 171, 50, 150)(27, 127, 53, 153, 44, 144, 62, 162, 67, 167)(28, 128, 54, 154, 87, 187, 99, 199, 68, 168)(29, 129, 66, 166, 37, 137, 81, 181, 70, 170)(31, 131, 56, 156, 84, 184, 94, 194, 73, 173)(33, 133, 58, 158, 88, 188, 98, 198, 76, 176)(36, 136, 79, 179, 63, 163, 95, 195, 80, 180)(42, 142, 60, 160, 90, 190, 74, 174, 83, 183)(65, 165, 91, 191, 86, 186, 96, 196, 97, 197)(69, 169, 92, 192, 75, 175, 93, 193, 100, 200)(201, 301)(202, 302)(203, 303)(204, 304)(205, 305)(206, 306)(207, 307)(208, 308)(209, 309)(210, 310)(211, 311)(212, 312)(213, 313)(214, 314)(215, 315)(216, 316)(217, 317)(218, 318)(219, 319)(220, 320)(221, 321)(222, 322)(223, 323)(224, 324)(225, 325)(226, 326)(227, 327)(228, 328)(229, 329)(230, 330)(231, 331)(232, 332)(233, 333)(234, 334)(235, 335)(236, 336)(237, 337)(238, 338)(239, 339)(240, 340)(241, 341)(242, 342)(243, 343)(244, 344)(245, 345)(246, 346)(247, 347)(248, 348)(249, 349)(250, 350)(251, 351)(252, 352)(253, 353)(254, 354)(255, 355)(256, 356)(257, 357)(258, 358)(259, 359)(260, 360)(261, 361)(262, 362)(263, 363)(264, 364)(265, 365)(266, 366)(267, 367)(268, 368)(269, 369)(270, 370)(271, 371)(272, 372)(273, 373)(274, 374)(275, 375)(276, 376)(277, 377)(278, 378)(279, 379)(280, 380)(281, 381)(282, 382)(283, 383)(284, 384)(285, 385)(286, 386)(287, 387)(288, 388)(289, 389)(290, 390)(291, 391)(292, 392)(293, 393)(294, 394)(295, 395)(296, 396)(297, 397)(298, 398)(299, 399)(300, 400)
	L = (1, 203)(2, 207)(3, 210)(4, 212)(5, 201)(6, 218)(7, 221)(8, 202)(9, 227)(10, 229)(11, 231)(12, 230)(13, 236)(14, 204)(15, 228)(16, 233)(17, 205)(18, 247)(19, 206)(20, 253)(21, 255)(22, 256)(23, 254)(24, 258)(25, 208)(26, 264)(27, 266)(28, 209)(29, 269)(30, 271)(31, 270)(32, 274)(33, 211)(34, 267)(35, 273)(36, 272)(37, 213)(38, 268)(39, 276)(40, 214)(41, 265)(42, 215)(43, 275)(44, 216)(45, 217)(46, 244)(47, 243)(48, 284)(49, 287)(50, 288)(51, 219)(52, 240)(53, 239)(54, 220)(55, 292)(56, 282)(57, 283)(58, 222)(59, 291)(60, 223)(61, 293)(62, 224)(63, 225)(64, 237)(65, 226)(66, 298)(67, 250)(68, 234)(69, 295)(70, 296)(71, 300)(72, 261)(73, 289)(74, 281)(75, 232)(76, 235)(77, 251)(78, 290)(79, 262)(80, 294)(81, 299)(82, 297)(83, 238)(84, 241)(85, 242)(86, 245)(87, 246)(88, 248)(89, 286)(90, 249)(91, 252)(92, 278)(93, 257)(94, 259)(95, 260)(96, 263)(97, 277)(98, 280)(99, 279)(100, 285)(101, 301)(102, 302)(103, 303)(104, 304)(105, 305)(106, 306)(107, 307)(108, 308)(109, 309)(110, 310)(111, 311)(112, 312)(113, 313)(114, 314)(115, 315)(116, 316)(117, 317)(118, 318)(119, 319)(120, 320)(121, 321)(122, 322)(123, 323)(124, 324)(125, 325)(126, 326)(127, 327)(128, 328)(129, 329)(130, 330)(131, 331)(132, 332)(133, 333)(134, 334)(135, 335)(136, 336)(137, 337)(138, 338)(139, 339)(140, 340)(141, 341)(142, 342)(143, 343)(144, 344)(145, 345)(146, 346)(147, 347)(148, 348)(149, 349)(150, 350)(151, 351)(152, 352)(153, 353)(154, 354)(155, 355)(156, 356)(157, 357)(158, 358)(159, 359)(160, 360)(161, 361)(162, 362)(163, 363)(164, 364)(165, 365)(166, 366)(167, 367)(168, 368)(169, 369)(170, 370)(171, 371)(172, 372)(173, 373)(174, 374)(175, 375)(176, 376)(177, 377)(178, 378)(179, 379)(180, 380)(181, 381)(182, 382)(183, 383)(184, 384)(185, 385)(186, 386)(187, 387)(188, 388)(189, 389)(190, 390)(191, 391)(192, 392)(193, 393)(194, 394)(195, 395)(196, 396)(197, 397)(198, 398)(199, 399)(200, 400)
	local type(s) :: { ( 8, 40 ), ( 8, 40, 8, 40, 8, 40, 8, 40, 8, 40 ) }
Outer automorphisms :: reflexible
Dual of E26.1211
Graph:: simple bipartite
	v = 120 e = 200 f = 30
	degree seq :: [ 2^100, 10^20 ]

E26.1213 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {4, 5, 20})
Quotient :: edge
Aut^+ = C5 x (C5 : C4) (small group id <100, 9>)
Aut   = C5 x (C5 : C4) (small group id <100, 9>)
|r| :: 1
Presentation :: [ X1^4, X2^5, X1^-2 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^2, X1 * X2^-1 * X1 * X2^-1 * X1^-2 * X2^2, X2^-1 * X1^-1 * X2^-1 * X1^-2 * X2^-2 * X1^-1 * X2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 4)(3, 9, 25, 11)(5, 14, 38, 15)(7, 19, 51, 21)(8, 22, 58, 23)(10, 28, 52, 29)(12, 32, 77, 34)(13, 35, 79, 36)(16, 43, 60, 44)(17, 45, 89, 47)(18, 48, 92, 49)(20, 54, 88, 55)(24, 63, 72, 64)(26, 67, 33, 56)(27, 69, 93, 61)(30, 74, 84, 46)(31, 76, 94, 53)(37, 62, 40, 81)(39, 66, 90, 57)(41, 78, 91, 59)(42, 80, 68, 50)(65, 85, 99, 86)(70, 95, 87, 100)(71, 82, 75, 97)(73, 96, 83, 98)(101, 103, 110, 116, 105)(102, 107, 120, 124, 108)(104, 112, 133, 137, 113)(106, 117, 146, 150, 118)(109, 126, 168, 170, 127)(111, 130, 175, 158, 131)(114, 139, 183, 184, 140)(115, 141, 151, 185, 142)(119, 152, 181, 195, 153)(121, 156, 197, 192, 157)(122, 159, 198, 167, 160)(123, 161, 189, 199, 162)(125, 165, 163, 136, 166)(128, 171, 179, 191, 147)(129, 172, 148, 193, 173)(132, 174, 164, 200, 178)(134, 154, 182, 138, 169)(135, 176, 196, 155, 180)(143, 149, 194, 177, 186)(144, 187, 190, 145, 188)
	L = (1, 101)(2, 102)(3, 103)(4, 104)(5, 105)(6, 106)(7, 107)(8, 108)(9, 109)(10, 110)(11, 111)(12, 112)(13, 113)(14, 114)(15, 115)(16, 116)(17, 117)(18, 118)(19, 119)(20, 120)(21, 121)(22, 122)(23, 123)(24, 124)(25, 125)(26, 126)(27, 127)(28, 128)(29, 129)(30, 130)(31, 131)(32, 132)(33, 133)(34, 134)(35, 135)(36, 136)(37, 137)(38, 138)(39, 139)(40, 140)(41, 141)(42, 142)(43, 143)(44, 144)(45, 145)(46, 146)(47, 147)(48, 148)(49, 149)(50, 150)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 40^4 ), ( 40^5 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 45 e = 100 f = 5
	degree seq :: [ 4^25, 5^20 ]

E26.1214 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {4, 5, 20})
Quotient :: edge
Aut^+ = C5 x (C5 : C4) (small group id <100, 9>)
Aut   = C5 x (C5 : C4) (small group id <100, 9>)
|r| :: 1
Presentation :: [ X1^5, X2^3 * X1 * X2 * X1^-2, X2^2 * X1^-1 * X2 * X1^-1 * X2 * X1, (X2 * X1)^4, X1 * X2 * X1 * X2^-1 * X1^-1 * X2 * X1^-1 * X2^-1, (X1 * X2^2 * X1)^2, (X2^-1 * X1^-1)^4, X2^20 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 13, 4)(3, 9, 26, 33, 11)(5, 15, 43, 47, 16)(7, 20, 57, 51, 22)(8, 23, 64, 67, 24)(10, 29, 74, 77, 31)(12, 35, 82, 84, 37)(14, 40, 73, 89, 41)(17, 49, 27, 53, 50)(18, 52, 92, 69, 54)(19, 55, 95, 76, 30)(21, 60, 42, 90, 45)(25, 68, 58, 48, 32)(28, 59, 97, 99, 72)(34, 63, 98, 100, 81)(36, 62, 56, 70, 83)(38, 78, 94, 91, 85)(39, 86, 79, 93, 61)(44, 65, 80, 96, 87)(46, 66, 75, 71, 88)(101, 103, 110, 130, 175, 182, 168, 189, 200, 185, 160, 164, 197, 152, 183, 186, 196, 151, 117, 105)(102, 107, 121, 161, 171, 126, 170, 147, 181, 137, 150, 195, 199, 178, 131, 140, 187, 169, 125, 108)(104, 112, 136, 124, 166, 194, 149, 193, 198, 154, 129, 143, 159, 120, 158, 155, 180, 133, 142, 114)(106, 118, 153, 141, 188, 157, 177, 167, 134, 111, 132, 179, 172, 135, 145, 115, 144, 191, 156, 119)(109, 127, 123, 165, 184, 174, 139, 113, 138, 148, 116, 146, 192, 190, 176, 163, 122, 162, 173, 128)
	L = (1, 101)(2, 102)(3, 103)(4, 104)(5, 105)(6, 106)(7, 107)(8, 108)(9, 109)(10, 110)(11, 111)(12, 112)(13, 113)(14, 114)(15, 115)(16, 116)(17, 117)(18, 118)(19, 119)(20, 120)(21, 121)(22, 122)(23, 123)(24, 124)(25, 125)(26, 126)(27, 127)(28, 128)(29, 129)(30, 130)(31, 131)(32, 132)(33, 133)(34, 134)(35, 135)(36, 136)(37, 137)(38, 138)(39, 139)(40, 140)(41, 141)(42, 142)(43, 143)(44, 144)(45, 145)(46, 146)(47, 147)(48, 148)(49, 149)(50, 150)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 8^5 ), ( 8^20 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 25 e = 100 f = 25
	degree seq :: [ 5^20, 20^5 ]

E26.1215 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {4, 5, 20})
Quotient :: edge
Aut^+ = C5 x (C5 : C4) (small group id <100, 9>)
Aut   = C5 x (C5 : C4) (small group id <100, 9>)
|r| :: 1
Presentation :: [ X2^4, X2^2 * X1^-1 * X2 * X1^2 * X2 * X1^-1, X2 * X1^-2 * X2^2 * X1^-3, X1 * X2 * X1 * X2 * X1^3 * X2^-1, X2^-1 * X1^2 * X2^-2 * X1^-1 * X2^-1 * X1^-1, X2 * X1 * X2^-1 * X1 * X2^-1 * X1^-1 * X2 * X1^-1, X2 * X1^4 * X2^-1 * X1^-4, X1^20 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 17, 47, 85, 74, 99, 78, 30, 60, 43, 65, 93, 84, 100, 82, 37, 13, 4)(3, 9, 25, 69, 86, 79, 42, 83, 97, 67, 24, 8, 23, 63, 34, 80, 96, 56, 31, 11)(5, 15, 41, 81, 87, 68, 26, 51, 35, 12, 33, 75, 89, 48, 88, 62, 94, 70, 45, 16)(7, 20, 55, 44, 72, 27, 64, 38, 77, 95, 54, 19, 53, 29, 10, 28, 73, 91, 61, 22)(14, 39, 71, 90, 49, 46, 59, 21, 58, 36, 76, 92, 52, 18, 50, 32, 66, 98, 57, 40)(101, 103, 110, 105)(102, 107, 121, 108)(104, 112, 134, 114)(106, 118, 151, 119)(109, 126, 171, 127)(111, 130, 177, 132)(113, 136, 181, 138)(115, 142, 152, 143)(116, 144, 184, 146)(117, 148, 131, 149)(120, 156, 141, 157)(122, 160, 139, 162)(123, 164, 189, 165)(124, 166, 200, 168)(125, 158, 199, 170)(128, 174, 198, 175)(129, 167, 188, 176)(133, 159, 195, 179)(135, 178, 197, 155)(137, 173, 190, 183)(140, 169, 193, 153)(145, 150, 191, 163)(147, 186, 161, 187)(154, 194, 182, 196)(172, 192, 180, 185)
	L = (1, 101)(2, 102)(3, 103)(4, 104)(5, 105)(6, 106)(7, 107)(8, 108)(9, 109)(10, 110)(11, 111)(12, 112)(13, 113)(14, 114)(15, 115)(16, 116)(17, 117)(18, 118)(19, 119)(20, 120)(21, 121)(22, 122)(23, 123)(24, 124)(25, 125)(26, 126)(27, 127)(28, 128)(29, 129)(30, 130)(31, 131)(32, 132)(33, 133)(34, 134)(35, 135)(36, 136)(37, 137)(38, 138)(39, 139)(40, 140)(41, 141)(42, 142)(43, 143)(44, 144)(45, 145)(46, 146)(47, 147)(48, 148)(49, 149)(50, 150)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 10^4 ), ( 10^20 ) }
Outer automorphisms :: chiral
Dual of E26.1217
Transitivity :: ET+
Graph:: simple bipartite
	v = 30 e = 100 f = 20
	degree seq :: [ 4^25, 20^5 ]

E26.1216 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {4, 5, 20})
Quotient :: loop
Aut^+ = C5 x (C5 : C4) (small group id <100, 9>)
Aut   = C5 x (C5 : C4) (small group id <100, 9>)
|r| :: 1
Presentation :: [ X1^4, X2^5, X1^-2 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^2, X1 * X2^-1 * X1 * X2^-1 * X1^-2 * X2^2, X2^-1 * X1^-1 * X2^-1 * X1^-2 * X2^-2 * X1^-1 * X2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 101, 2, 102, 6, 106, 4, 104)(3, 103, 9, 109, 25, 125, 11, 111)(5, 105, 14, 114, 38, 138, 15, 115)(7, 107, 19, 119, 51, 151, 21, 121)(8, 108, 22, 122, 58, 158, 23, 123)(10, 110, 28, 128, 52, 152, 29, 129)(12, 112, 32, 132, 77, 177, 34, 134)(13, 113, 35, 135, 79, 179, 36, 136)(16, 116, 43, 143, 60, 160, 44, 144)(17, 117, 45, 145, 89, 189, 47, 147)(18, 118, 48, 148, 92, 192, 49, 149)(20, 120, 54, 154, 88, 188, 55, 155)(24, 124, 63, 163, 72, 172, 64, 164)(26, 126, 67, 167, 33, 133, 56, 156)(27, 127, 69, 169, 93, 193, 61, 161)(30, 130, 74, 174, 84, 184, 46, 146)(31, 131, 76, 176, 94, 194, 53, 153)(37, 137, 62, 162, 40, 140, 81, 181)(39, 139, 66, 166, 90, 190, 57, 157)(41, 141, 78, 178, 91, 191, 59, 159)(42, 142, 80, 180, 68, 168, 50, 150)(65, 165, 85, 185, 99, 199, 86, 186)(70, 170, 95, 195, 87, 187, 100, 200)(71, 171, 82, 182, 75, 175, 97, 197)(73, 173, 96, 196, 83, 183, 98, 198)
	L = (1, 103)(2, 107)(3, 110)(4, 112)(5, 101)(6, 117)(7, 120)(8, 102)(9, 126)(10, 116)(11, 130)(12, 133)(13, 104)(14, 139)(15, 141)(16, 105)(17, 146)(18, 106)(19, 152)(20, 124)(21, 156)(22, 159)(23, 161)(24, 108)(25, 165)(26, 168)(27, 109)(28, 171)(29, 172)(30, 175)(31, 111)(32, 174)(33, 137)(34, 154)(35, 176)(36, 166)(37, 113)(38, 169)(39, 183)(40, 114)(41, 151)(42, 115)(43, 149)(44, 187)(45, 188)(46, 150)(47, 128)(48, 193)(49, 194)(50, 118)(51, 185)(52, 181)(53, 119)(54, 182)(55, 180)(56, 197)(57, 121)(58, 131)(59, 198)(60, 122)(61, 189)(62, 123)(63, 136)(64, 200)(65, 163)(66, 125)(67, 160)(68, 170)(69, 134)(70, 127)(71, 179)(72, 148)(73, 129)(74, 164)(75, 158)(76, 196)(77, 186)(78, 132)(79, 191)(80, 135)(81, 195)(82, 138)(83, 184)(84, 140)(85, 142)(86, 143)(87, 190)(88, 144)(89, 199)(90, 145)(91, 147)(92, 157)(93, 173)(94, 177)(95, 153)(96, 155)(97, 192)(98, 167)(99, 162)(100, 178)
	local type(s) :: { ( 5, 20, 5, 20, 5, 20, 5, 20 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple
	v = 25 e = 100 f = 25
	degree seq :: [ 8^25 ]

E26.1217 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {4, 5, 20})
Quotient :: loop
Aut^+ = C5 x (C5 : C4) (small group id <100, 9>)
Aut   = C5 x (C5 : C4) (small group id <100, 9>)
|r| :: 1
Presentation :: [ X1^5, X2^3 * X1 * X2 * X1^-2, X2^2 * X1^-1 * X2 * X1^-1 * X2 * X1, (X2 * X1)^4, X1 * X2 * X1 * X2^-1 * X1^-1 * X2 * X1^-1 * X2^-1, (X1 * X2^2 * X1)^2, (X2^-1 * X1^-1)^4, X2^20 ]
Map:: polytopal non-degenerate
	R = (1, 101, 2, 102, 6, 106, 13, 113, 4, 104)(3, 103, 9, 109, 26, 126, 33, 133, 11, 111)(5, 105, 15, 115, 43, 143, 47, 147, 16, 116)(7, 107, 20, 120, 57, 157, 51, 151, 22, 122)(8, 108, 23, 123, 64, 164, 67, 167, 24, 124)(10, 110, 29, 129, 74, 174, 77, 177, 31, 131)(12, 112, 35, 135, 82, 182, 84, 184, 37, 137)(14, 114, 40, 140, 73, 173, 89, 189, 41, 141)(17, 117, 49, 149, 27, 127, 53, 153, 50, 150)(18, 118, 52, 152, 92, 192, 69, 169, 54, 154)(19, 119, 55, 155, 95, 195, 76, 176, 30, 130)(21, 121, 60, 160, 42, 142, 90, 190, 45, 145)(25, 125, 68, 168, 58, 158, 48, 148, 32, 132)(28, 128, 59, 159, 97, 197, 99, 199, 72, 172)(34, 134, 63, 163, 98, 198, 100, 200, 81, 181)(36, 136, 62, 162, 56, 156, 70, 170, 83, 183)(38, 138, 78, 178, 94, 194, 91, 191, 85, 185)(39, 139, 86, 186, 79, 179, 93, 193, 61, 161)(44, 144, 65, 165, 80, 180, 96, 196, 87, 187)(46, 146, 66, 166, 75, 175, 71, 171, 88, 188)
	L = (1, 103)(2, 107)(3, 110)(4, 112)(5, 101)(6, 118)(7, 121)(8, 102)(9, 127)(10, 130)(11, 132)(12, 136)(13, 138)(14, 104)(15, 144)(16, 146)(17, 105)(18, 153)(19, 106)(20, 158)(21, 161)(22, 162)(23, 165)(24, 166)(25, 108)(26, 170)(27, 123)(28, 109)(29, 143)(30, 175)(31, 140)(32, 179)(33, 142)(34, 111)(35, 145)(36, 124)(37, 150)(38, 148)(39, 113)(40, 187)(41, 188)(42, 114)(43, 159)(44, 191)(45, 115)(46, 192)(47, 181)(48, 116)(49, 193)(50, 195)(51, 117)(52, 183)(53, 141)(54, 129)(55, 180)(56, 119)(57, 177)(58, 155)(59, 120)(60, 164)(61, 171)(62, 173)(63, 122)(64, 197)(65, 184)(66, 194)(67, 134)(68, 189)(69, 125)(70, 147)(71, 126)(72, 135)(73, 128)(74, 139)(75, 182)(76, 163)(77, 167)(78, 131)(79, 172)(80, 133)(81, 137)(82, 168)(83, 186)(84, 174)(85, 160)(86, 196)(87, 169)(88, 157)(89, 200)(90, 176)(91, 156)(92, 190)(93, 198)(94, 149)(95, 199)(96, 151)(97, 152)(98, 154)(99, 178)(100, 185)
	local type(s) :: { ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: chiral
Dual of E26.1215
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 20 e = 100 f = 30
	degree seq :: [ 10^20 ]

E26.1218 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {4, 5, 20})
Quotient :: loop
Aut^+ = C5 x (C5 : C4) (small group id <100, 9>)
Aut   = C5 x (C5 : C4) (small group id <100, 9>)
|r| :: 1
Presentation :: [ X2^4, X2^2 * X1^-1 * X2 * X1^2 * X2 * X1^-1, X2 * X1^-2 * X2^2 * X1^-3, X1 * X2 * X1 * X2 * X1^3 * X2^-1, X2^-1 * X1^2 * X2^-2 * X1^-1 * X2^-1 * X1^-1, X2 * X1 * X2^-1 * X1 * X2^-1 * X1^-1 * X2 * X1^-1, X2 * X1^4 * X2^-1 * X1^-4, X1^20 ]
Map:: polytopal non-degenerate
	R = (1, 101, 2, 102, 6, 106, 17, 117, 47, 147, 85, 185, 74, 174, 99, 199, 78, 178, 30, 130, 60, 160, 43, 143, 65, 165, 93, 193, 84, 184, 100, 200, 82, 182, 37, 137, 13, 113, 4, 104)(3, 103, 9, 109, 25, 125, 69, 169, 86, 186, 79, 179, 42, 142, 83, 183, 97, 197, 67, 167, 24, 124, 8, 108, 23, 123, 63, 163, 34, 134, 80, 180, 96, 196, 56, 156, 31, 131, 11, 111)(5, 105, 15, 115, 41, 141, 81, 181, 87, 187, 68, 168, 26, 126, 51, 151, 35, 135, 12, 112, 33, 133, 75, 175, 89, 189, 48, 148, 88, 188, 62, 162, 94, 194, 70, 170, 45, 145, 16, 116)(7, 107, 20, 120, 55, 155, 44, 144, 72, 172, 27, 127, 64, 164, 38, 138, 77, 177, 95, 195, 54, 154, 19, 119, 53, 153, 29, 129, 10, 110, 28, 128, 73, 173, 91, 191, 61, 161, 22, 122)(14, 114, 39, 139, 71, 171, 90, 190, 49, 149, 46, 146, 59, 159, 21, 121, 58, 158, 36, 136, 76, 176, 92, 192, 52, 152, 18, 118, 50, 150, 32, 132, 66, 166, 98, 198, 57, 157, 40, 140)
	L = (1, 103)(2, 107)(3, 110)(4, 112)(5, 101)(6, 118)(7, 121)(8, 102)(9, 126)(10, 105)(11, 130)(12, 134)(13, 136)(14, 104)(15, 142)(16, 144)(17, 148)(18, 151)(19, 106)(20, 156)(21, 108)(22, 160)(23, 164)(24, 166)(25, 158)(26, 171)(27, 109)(28, 174)(29, 167)(30, 177)(31, 149)(32, 111)(33, 159)(34, 114)(35, 178)(36, 181)(37, 173)(38, 113)(39, 162)(40, 169)(41, 157)(42, 152)(43, 115)(44, 184)(45, 150)(46, 116)(47, 186)(48, 131)(49, 117)(50, 191)(51, 119)(52, 143)(53, 140)(54, 194)(55, 135)(56, 141)(57, 120)(58, 199)(59, 195)(60, 139)(61, 187)(62, 122)(63, 145)(64, 189)(65, 123)(66, 200)(67, 188)(68, 124)(69, 193)(70, 125)(71, 127)(72, 192)(73, 190)(74, 198)(75, 128)(76, 129)(77, 132)(78, 197)(79, 133)(80, 185)(81, 138)(82, 196)(83, 137)(84, 146)(85, 172)(86, 161)(87, 147)(88, 176)(89, 165)(90, 183)(91, 163)(92, 180)(93, 153)(94, 182)(95, 179)(96, 154)(97, 155)(98, 175)(99, 170)(100, 168)
	local type(s) :: { ( 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph::
	v = 5 e = 100 f = 45
	degree seq :: [ 40^5 ]

E26.1219 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 52})
Quotient :: dipole
Aut^+ = D104 (small group id <104, 6>)
Aut   = C2 x D104 (small group id <208, 37>)
|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 ]
Map:: non-degenerate
	R = (1, 105, 2, 106)(3, 107, 5, 109)(4, 108, 8, 112)(6, 110, 10, 114)(7, 111, 11, 115)(9, 113, 13, 117)(12, 116, 16, 120)(14, 118, 18, 122)(15, 119, 19, 123)(17, 121, 21, 125)(20, 124, 24, 128)(22, 126, 26, 130)(23, 127, 27, 131)(25, 129, 29, 133)(28, 132, 32, 136)(30, 134, 35, 139)(31, 135, 34, 138)(33, 137, 49, 153)(36, 140, 54, 158)(37, 141, 53, 157)(38, 142, 52, 156)(39, 143, 55, 159)(40, 144, 56, 160)(41, 145, 57, 161)(42, 146, 58, 162)(43, 147, 59, 163)(44, 148, 60, 164)(45, 149, 61, 165)(46, 150, 62, 166)(47, 151, 63, 167)(48, 152, 64, 168)(50, 154, 65, 169)(51, 155, 66, 170)(67, 171, 69, 173)(68, 172, 72, 176)(70, 174, 75, 179)(71, 175, 74, 178)(73, 177, 89, 193)(76, 180, 94, 198)(77, 181, 93, 197)(78, 182, 92, 196)(79, 183, 95, 199)(80, 184, 96, 200)(81, 185, 97, 201)(82, 186, 98, 202)(83, 187, 99, 203)(84, 188, 100, 204)(85, 189, 101, 205)(86, 190, 102, 206)(87, 191, 103, 207)(88, 192, 104, 208)(90, 194, 91, 195)(209, 313, 211, 315)(210, 314, 213, 317)(212, 316, 215, 319)(214, 318, 217, 321)(216, 320, 219, 323)(218, 322, 221, 325)(220, 324, 223, 327)(222, 326, 225, 329)(224, 328, 227, 331)(226, 330, 229, 333)(228, 332, 231, 335)(230, 334, 233, 337)(232, 336, 235, 339)(234, 338, 237, 341)(236, 340, 239, 343)(238, 342, 257, 361)(240, 344, 242, 346)(241, 345, 243, 347)(244, 348, 246, 350)(245, 349, 247, 351)(248, 352, 250, 354)(249, 353, 251, 355)(252, 356, 254, 358)(253, 357, 255, 359)(256, 360, 259, 363)(258, 362, 277, 381)(260, 364, 262, 366)(261, 365, 263, 367)(264, 368, 266, 370)(265, 369, 267, 371)(268, 372, 270, 374)(269, 373, 271, 375)(272, 376, 274, 378)(273, 377, 275, 379)(276, 380, 279, 383)(278, 382, 297, 401)(280, 384, 282, 386)(281, 385, 283, 387)(284, 388, 286, 390)(285, 389, 287, 391)(288, 392, 290, 394)(289, 393, 291, 395)(292, 396, 294, 398)(293, 397, 295, 399)(296, 400, 299, 403)(298, 402, 312, 416)(300, 404, 302, 406)(301, 405, 303, 407)(304, 408, 306, 410)(305, 409, 307, 411)(308, 412, 310, 414)(309, 413, 311, 415)
	L = (1, 212)(2, 214)(3, 215)(4, 209)(5, 217)(6, 210)(7, 211)(8, 220)(9, 213)(10, 222)(11, 223)(12, 216)(13, 225)(14, 218)(15, 219)(16, 228)(17, 221)(18, 230)(19, 231)(20, 224)(21, 233)(22, 226)(23, 227)(24, 236)(25, 229)(26, 238)(27, 239)(28, 232)(29, 257)(30, 234)(31, 235)(32, 260)(33, 261)(34, 262)(35, 263)(36, 264)(37, 265)(38, 266)(39, 267)(40, 268)(41, 269)(42, 270)(43, 271)(44, 272)(45, 273)(46, 274)(47, 275)(48, 276)(49, 237)(50, 278)(51, 279)(52, 240)(53, 241)(54, 242)(55, 243)(56, 244)(57, 245)(58, 246)(59, 247)(60, 248)(61, 249)(62, 250)(63, 251)(64, 252)(65, 253)(66, 254)(67, 255)(68, 256)(69, 297)(70, 258)(71, 259)(72, 300)(73, 301)(74, 302)(75, 303)(76, 304)(77, 305)(78, 306)(79, 307)(80, 308)(81, 309)(82, 310)(83, 311)(84, 312)(85, 299)(86, 298)(87, 296)(88, 295)(89, 277)(90, 294)(91, 293)(92, 280)(93, 281)(94, 282)(95, 283)(96, 284)(97, 285)(98, 286)(99, 287)(100, 288)(101, 289)(102, 290)(103, 291)(104, 292)(105, 313)(106, 314)(107, 315)(108, 316)(109, 317)(110, 318)(111, 319)(112, 320)(113, 321)(114, 322)(115, 323)(116, 324)(117, 325)(118, 326)(119, 327)(120, 328)(121, 329)(122, 330)(123, 331)(124, 332)(125, 333)(126, 334)(127, 335)(128, 336)(129, 337)(130, 338)(131, 339)(132, 340)(133, 341)(134, 342)(135, 343)(136, 344)(137, 345)(138, 346)(139, 347)(140, 348)(141, 349)(142, 350)(143, 351)(144, 352)(145, 353)(146, 354)(147, 355)(148, 356)(149, 357)(150, 358)(151, 359)(152, 360)(153, 361)(154, 362)(155, 363)(156, 364)(157, 365)(158, 366)(159, 367)(160, 368)(161, 369)(162, 370)(163, 371)(164, 372)(165, 373)(166, 374)(167, 375)(168, 376)(169, 377)(170, 378)(171, 379)(172, 380)(173, 381)(174, 382)(175, 383)(176, 384)(177, 385)(178, 386)(179, 387)(180, 388)(181, 389)(182, 390)(183, 391)(184, 392)(185, 393)(186, 394)(187, 395)(188, 396)(189, 397)(190, 398)(191, 399)(192, 400)(193, 401)(194, 402)(195, 403)(196, 404)(197, 405)(198, 406)(199, 407)(200, 408)(201, 409)(202, 410)(203, 411)(204, 412)(205, 413)(206, 414)(207, 415)(208, 416)
	local type(s) :: { ( 4, 104, 4, 104 ) }
Outer automorphisms :: reflexible
Dual of E26.1220
Graph:: simple bipartite
	v = 104 e = 208 f = 54
	degree seq :: [ 4^104 ]

E26.1220 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 52})
Quotient :: dipole
Aut^+ = D104 (small group id <104, 6>)
Aut   = C2 x D104 (small group id <208, 37>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y1^-1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y2)^2, (Y3 * Y2)^2, Y2 * Y3 * Y1^26, Y1^-1 * Y2 * Y1^12 * Y3 * Y1^-13 ]
Map:: non-degenerate
	R = (1, 105, 2, 106, 6, 110, 13, 117, 21, 125, 29, 133, 37, 141, 45, 149, 53, 157, 61, 165, 69, 173, 77, 181, 85, 189, 93, 197, 101, 205, 98, 202, 90, 194, 82, 186, 74, 178, 66, 170, 58, 162, 50, 154, 42, 146, 34, 138, 26, 130, 18, 122, 10, 114, 16, 120, 24, 128, 32, 136, 40, 144, 48, 152, 56, 160, 64, 168, 72, 176, 80, 184, 88, 192, 96, 200, 104, 208, 100, 204, 92, 196, 84, 188, 76, 180, 68, 172, 60, 164, 52, 156, 44, 148, 36, 140, 28, 132, 20, 124, 12, 116, 5, 109)(3, 107, 9, 113, 17, 121, 25, 129, 33, 137, 41, 145, 49, 153, 57, 161, 65, 169, 73, 177, 81, 185, 89, 193, 97, 201, 103, 207, 95, 199, 87, 191, 79, 183, 71, 175, 63, 167, 55, 159, 47, 151, 39, 143, 31, 135, 23, 127, 15, 119, 8, 112, 4, 108, 11, 115, 19, 123, 27, 131, 35, 139, 43, 147, 51, 155, 59, 163, 67, 171, 75, 179, 83, 187, 91, 195, 99, 203, 102, 206, 94, 198, 86, 190, 78, 182, 70, 174, 62, 166, 54, 158, 46, 150, 38, 142, 30, 134, 22, 126, 14, 118, 7, 111)(209, 313, 211, 315)(210, 314, 215, 319)(212, 316, 218, 322)(213, 317, 217, 321)(214, 318, 222, 326)(216, 320, 224, 328)(219, 323, 226, 330)(220, 324, 225, 329)(221, 325, 230, 334)(223, 327, 232, 336)(227, 331, 234, 338)(228, 332, 233, 337)(229, 333, 238, 342)(231, 335, 240, 344)(235, 339, 242, 346)(236, 340, 241, 345)(237, 341, 246, 350)(239, 343, 248, 352)(243, 347, 250, 354)(244, 348, 249, 353)(245, 349, 254, 358)(247, 351, 256, 360)(251, 355, 258, 362)(252, 356, 257, 361)(253, 357, 262, 366)(255, 359, 264, 368)(259, 363, 266, 370)(260, 364, 265, 369)(261, 365, 270, 374)(263, 367, 272, 376)(267, 371, 274, 378)(268, 372, 273, 377)(269, 373, 278, 382)(271, 375, 280, 384)(275, 379, 282, 386)(276, 380, 281, 385)(277, 381, 286, 390)(279, 383, 288, 392)(283, 387, 290, 394)(284, 388, 289, 393)(285, 389, 294, 398)(287, 391, 296, 400)(291, 395, 298, 402)(292, 396, 297, 401)(293, 397, 302, 406)(295, 399, 304, 408)(299, 403, 306, 410)(300, 404, 305, 409)(301, 405, 310, 414)(303, 407, 312, 416)(307, 411, 309, 413)(308, 412, 311, 415)
	L = (1, 212)(2, 216)(3, 218)(4, 209)(5, 219)(6, 223)(7, 224)(8, 210)(9, 226)(10, 211)(11, 213)(12, 227)(13, 231)(14, 232)(15, 214)(16, 215)(17, 234)(18, 217)(19, 220)(20, 235)(21, 239)(22, 240)(23, 221)(24, 222)(25, 242)(26, 225)(27, 228)(28, 243)(29, 247)(30, 248)(31, 229)(32, 230)(33, 250)(34, 233)(35, 236)(36, 251)(37, 255)(38, 256)(39, 237)(40, 238)(41, 258)(42, 241)(43, 244)(44, 259)(45, 263)(46, 264)(47, 245)(48, 246)(49, 266)(50, 249)(51, 252)(52, 267)(53, 271)(54, 272)(55, 253)(56, 254)(57, 274)(58, 257)(59, 260)(60, 275)(61, 279)(62, 280)(63, 261)(64, 262)(65, 282)(66, 265)(67, 268)(68, 283)(69, 287)(70, 288)(71, 269)(72, 270)(73, 290)(74, 273)(75, 276)(76, 291)(77, 295)(78, 296)(79, 277)(80, 278)(81, 298)(82, 281)(83, 284)(84, 299)(85, 303)(86, 304)(87, 285)(88, 286)(89, 306)(90, 289)(91, 292)(92, 307)(93, 311)(94, 312)(95, 293)(96, 294)(97, 309)(98, 297)(99, 300)(100, 310)(101, 305)(102, 308)(103, 301)(104, 302)(105, 313)(106, 314)(107, 315)(108, 316)(109, 317)(110, 318)(111, 319)(112, 320)(113, 321)(114, 322)(115, 323)(116, 324)(117, 325)(118, 326)(119, 327)(120, 328)(121, 329)(122, 330)(123, 331)(124, 332)(125, 333)(126, 334)(127, 335)(128, 336)(129, 337)(130, 338)(131, 339)(132, 340)(133, 341)(134, 342)(135, 343)(136, 344)(137, 345)(138, 346)(139, 347)(140, 348)(141, 349)(142, 350)(143, 351)(144, 352)(145, 353)(146, 354)(147, 355)(148, 356)(149, 357)(150, 358)(151, 359)(152, 360)(153, 361)(154, 362)(155, 363)(156, 364)(157, 365)(158, 366)(159, 367)(160, 368)(161, 369)(162, 370)(163, 371)(164, 372)(165, 373)(166, 374)(167, 375)(168, 376)(169, 377)(170, 378)(171, 379)(172, 380)(173, 381)(174, 382)(175, 383)(176, 384)(177, 385)(178, 386)(179, 387)(180, 388)(181, 389)(182, 390)(183, 391)(184, 392)(185, 393)(186, 394)(187, 395)(188, 396)(189, 397)(190, 398)(191, 399)(192, 400)(193, 401)(194, 402)(195, 403)(196, 404)(197, 405)(198, 406)(199, 407)(200, 408)(201, 409)(202, 410)(203, 411)(204, 412)(205, 413)(206, 414)(207, 415)(208, 416)
	local type(s) :: { ( 4^4 ), ( 4^104 ) }
Outer automorphisms :: reflexible
Dual of E26.1219
Graph:: bipartite
	v = 54 e = 208 f = 104
	degree seq :: [ 4^52, 104^2 ]

E26.1221 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 52})
Quotient :: edge
Aut^+ = C13 : Q8 (small group id <104, 4>)
Aut   = (C52 x C2) : C2 (small group id <208, 38>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, T1^4, (F * T1)^2, T2 * T1 * T2 * T1^-1, T2^2 * T1^-2 * T2^-2 * T1^-2, T2^24 * T1^-1 * T2^-2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 49, 57, 65, 73, 81, 89, 97, 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, 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, 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, 104, 96, 88, 80, 72, 64, 56, 48, 40, 32, 24, 16, 8)(105, 106, 110, 108)(107, 112, 117, 114)(109, 111, 118, 115)(113, 120, 125, 122)(116, 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, 204, 207)
	L = (1, 105)(2, 106)(3, 107)(4, 108)(5, 109)(6, 110)(7, 111)(8, 112)(9, 113)(10, 114)(11, 115)(12, 116)(13, 117)(14, 118)(15, 119)(16, 120)(17, 121)(18, 122)(19, 123)(20, 124)(21, 125)(22, 126)(23, 127)(24, 128)(25, 129)(26, 130)(27, 131)(28, 132)(29, 133)(30, 134)(31, 135)(32, 136)(33, 137)(34, 138)(35, 139)(36, 140)(37, 141)(38, 142)(39, 143)(40, 144)(41, 145)(42, 146)(43, 147)(44, 148)(45, 149)(46, 150)(47, 151)(48, 152)(49, 153)(50, 154)(51, 155)(52, 156)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 8^4 ), ( 8^52 ) }
Outer automorphisms :: reflexible
Dual of E26.1222
Transitivity :: ET+
Graph:: bipartite
	v = 28 e = 104 f = 26
	degree seq :: [ 4^26, 52^2 ]

E26.1222 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 52})
Quotient :: loop
Aut^+ = C13 : Q8 (small group id <104, 4>)
Aut   = (C52 x C2) : C2 (small group id <208, 38>)
|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^-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^-1 * T2 ]
Map:: non-degenerate
	R = (1, 105, 3, 107, 6, 110, 5, 109)(2, 106, 7, 111, 4, 108, 8, 112)(9, 113, 13, 117, 10, 114, 14, 118)(11, 115, 15, 119, 12, 116, 16, 120)(17, 121, 21, 125, 18, 122, 22, 126)(19, 123, 23, 127, 20, 124, 24, 128)(25, 129, 29, 133, 26, 130, 30, 134)(27, 131, 31, 135, 28, 132, 32, 136)(33, 137, 36, 140, 34, 138, 38, 142)(35, 139, 53, 157, 40, 144, 55, 159)(37, 141, 60, 164, 39, 143, 62, 166)(41, 145, 59, 163, 42, 146, 57, 161)(43, 147, 65, 169, 44, 148, 63, 167)(45, 149, 71, 175, 46, 150, 69, 173)(47, 151, 75, 179, 48, 152, 73, 177)(49, 153, 79, 183, 50, 154, 77, 181)(51, 155, 83, 187, 52, 156, 81, 185)(54, 158, 87, 191, 56, 160, 85, 189)(58, 162, 93, 197, 68, 172, 95, 199)(61, 165, 91, 195, 66, 170, 89, 193)(64, 168, 100, 204, 67, 171, 102, 206)(70, 174, 99, 203, 72, 176, 97, 201)(74, 178, 103, 207, 76, 180, 98, 202)(78, 182, 104, 208, 80, 184, 101, 205)(82, 186, 94, 198, 84, 188, 96, 200)(86, 190, 92, 196, 88, 192, 90, 194)
	L = (1, 106)(2, 110)(3, 113)(4, 105)(5, 114)(6, 108)(7, 115)(8, 116)(9, 109)(10, 107)(11, 112)(12, 111)(13, 121)(14, 122)(15, 123)(16, 124)(17, 118)(18, 117)(19, 120)(20, 119)(21, 129)(22, 130)(23, 131)(24, 132)(25, 126)(26, 125)(27, 128)(28, 127)(29, 137)(30, 138)(31, 157)(32, 159)(33, 134)(34, 133)(35, 161)(36, 164)(37, 167)(38, 166)(39, 169)(40, 163)(41, 173)(42, 175)(43, 177)(44, 179)(45, 181)(46, 183)(47, 185)(48, 187)(49, 189)(50, 191)(51, 193)(52, 195)(53, 136)(54, 197)(55, 135)(56, 199)(57, 144)(58, 201)(59, 139)(60, 142)(61, 204)(62, 140)(63, 143)(64, 202)(65, 141)(66, 206)(67, 207)(68, 203)(69, 146)(70, 205)(71, 145)(72, 208)(73, 148)(74, 200)(75, 147)(76, 198)(77, 150)(78, 194)(79, 149)(80, 196)(81, 152)(82, 192)(83, 151)(84, 190)(85, 154)(86, 186)(87, 153)(88, 188)(89, 156)(90, 184)(91, 155)(92, 182)(93, 160)(94, 178)(95, 158)(96, 180)(97, 172)(98, 171)(99, 162)(100, 170)(101, 176)(102, 165)(103, 168)(104, 174)
	local type(s) :: { ( 4, 52, 4, 52, 4, 52, 4, 52 ) }
Outer automorphisms :: reflexible
Dual of E26.1221
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 26 e = 104 f = 28
	degree seq :: [ 8^26 ]

E26.1223 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 52})
Quotient :: dipole
Aut^+ = C13 : Q8 (small group id <104, 4>)
Aut   = (C52 x C2) : C2 (small group id <208, 38>)
|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, Y2^25 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 105, 2, 106, 6, 110, 4, 108)(3, 107, 8, 112, 13, 117, 10, 114)(5, 109, 7, 111, 14, 118, 11, 115)(9, 113, 16, 120, 21, 125, 18, 122)(12, 116, 15, 119, 22, 126, 19, 123)(17, 121, 24, 128, 29, 133, 26, 130)(20, 124, 23, 127, 30, 134, 27, 131)(25, 129, 32, 136, 37, 141, 34, 138)(28, 132, 31, 135, 38, 142, 35, 139)(33, 137, 40, 144, 45, 149, 42, 146)(36, 140, 39, 143, 46, 150, 43, 147)(41, 145, 48, 152, 53, 157, 50, 154)(44, 148, 47, 151, 54, 158, 51, 155)(49, 153, 56, 160, 61, 165, 58, 162)(52, 156, 55, 159, 62, 166, 59, 163)(57, 161, 64, 168, 69, 173, 66, 170)(60, 164, 63, 167, 70, 174, 67, 171)(65, 169, 72, 176, 77, 181, 74, 178)(68, 172, 71, 175, 78, 182, 75, 179)(73, 177, 80, 184, 85, 189, 82, 186)(76, 180, 79, 183, 86, 190, 83, 187)(81, 185, 88, 192, 93, 197, 90, 194)(84, 188, 87, 191, 94, 198, 91, 195)(89, 193, 96, 200, 101, 205, 98, 202)(92, 196, 95, 199, 102, 206, 99, 203)(97, 201, 104, 208, 100, 204, 103, 207)(209, 313, 211, 315, 217, 321, 225, 329, 233, 337, 241, 345, 249, 353, 257, 361, 265, 369, 273, 377, 281, 385, 289, 393, 297, 401, 305, 409, 310, 414, 302, 406, 294, 398, 286, 390, 278, 382, 270, 374, 262, 366, 254, 358, 246, 350, 238, 342, 230, 334, 222, 326, 214, 318, 221, 325, 229, 333, 237, 341, 245, 349, 253, 357, 261, 365, 269, 373, 277, 381, 285, 389, 293, 397, 301, 405, 309, 413, 308, 412, 300, 404, 292, 396, 284, 388, 276, 380, 268, 372, 260, 364, 252, 356, 244, 348, 236, 340, 228, 332, 220, 324, 213, 317)(210, 314, 215, 319, 223, 327, 231, 335, 239, 343, 247, 351, 255, 359, 263, 367, 271, 375, 279, 383, 287, 391, 295, 399, 303, 407, 311, 415, 306, 410, 298, 402, 290, 394, 282, 386, 274, 378, 266, 370, 258, 362, 250, 354, 242, 346, 234, 338, 226, 330, 218, 322, 212, 316, 219, 323, 227, 331, 235, 339, 243, 347, 251, 355, 259, 363, 267, 371, 275, 379, 283, 387, 291, 395, 299, 403, 307, 411, 312, 416, 304, 408, 296, 400, 288, 392, 280, 384, 272, 376, 264, 368, 256, 360, 248, 352, 240, 344, 232, 336, 224, 328, 216, 320)
	L = (1, 211)(2, 215)(3, 217)(4, 219)(5, 209)(6, 221)(7, 223)(8, 210)(9, 225)(10, 212)(11, 227)(12, 213)(13, 229)(14, 214)(15, 231)(16, 216)(17, 233)(18, 218)(19, 235)(20, 220)(21, 237)(22, 222)(23, 239)(24, 224)(25, 241)(26, 226)(27, 243)(28, 228)(29, 245)(30, 230)(31, 247)(32, 232)(33, 249)(34, 234)(35, 251)(36, 236)(37, 253)(38, 238)(39, 255)(40, 240)(41, 257)(42, 242)(43, 259)(44, 244)(45, 261)(46, 246)(47, 263)(48, 248)(49, 265)(50, 250)(51, 267)(52, 252)(53, 269)(54, 254)(55, 271)(56, 256)(57, 273)(58, 258)(59, 275)(60, 260)(61, 277)(62, 262)(63, 279)(64, 264)(65, 281)(66, 266)(67, 283)(68, 268)(69, 285)(70, 270)(71, 287)(72, 272)(73, 289)(74, 274)(75, 291)(76, 276)(77, 293)(78, 278)(79, 295)(80, 280)(81, 297)(82, 282)(83, 299)(84, 284)(85, 301)(86, 286)(87, 303)(88, 288)(89, 305)(90, 290)(91, 307)(92, 292)(93, 309)(94, 294)(95, 311)(96, 296)(97, 310)(98, 298)(99, 312)(100, 300)(101, 308)(102, 302)(103, 306)(104, 304)(105, 313)(106, 314)(107, 315)(108, 316)(109, 317)(110, 318)(111, 319)(112, 320)(113, 321)(114, 322)(115, 323)(116, 324)(117, 325)(118, 326)(119, 327)(120, 328)(121, 329)(122, 330)(123, 331)(124, 332)(125, 333)(126, 334)(127, 335)(128, 336)(129, 337)(130, 338)(131, 339)(132, 340)(133, 341)(134, 342)(135, 343)(136, 344)(137, 345)(138, 346)(139, 347)(140, 348)(141, 349)(142, 350)(143, 351)(144, 352)(145, 353)(146, 354)(147, 355)(148, 356)(149, 357)(150, 358)(151, 359)(152, 360)(153, 361)(154, 362)(155, 363)(156, 364)(157, 365)(158, 366)(159, 367)(160, 368)(161, 369)(162, 370)(163, 371)(164, 372)(165, 373)(166, 374)(167, 375)(168, 376)(169, 377)(170, 378)(171, 379)(172, 380)(173, 381)(174, 382)(175, 383)(176, 384)(177, 385)(178, 386)(179, 387)(180, 388)(181, 389)(182, 390)(183, 391)(184, 392)(185, 393)(186, 394)(187, 395)(188, 396)(189, 397)(190, 398)(191, 399)(192, 400)(193, 401)(194, 402)(195, 403)(196, 404)(197, 405)(198, 406)(199, 407)(200, 408)(201, 409)(202, 410)(203, 411)(204, 412)(205, 413)(206, 414)(207, 415)(208, 416)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1224
Graph:: bipartite
	v = 28 e = 208 f = 130
	degree seq :: [ 8^26, 104^2 ]

E26.1224 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 52})
Quotient :: dipole
Aut^+ = C13 : Q8 (small group id <104, 4>)
Aut   = (C52 x C2) : C2 (small group id <208, 38>)
|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, Y3^10 * Y2^-1 * Y3^-16 * Y2^-1, (Y3^-1 * Y1^-1)^52 ]
Map::
	R = (1, 105)(2, 106)(3, 107)(4, 108)(5, 109)(6, 110)(7, 111)(8, 112)(9, 113)(10, 114)(11, 115)(12, 116)(13, 117)(14, 118)(15, 119)(16, 120)(17, 121)(18, 122)(19, 123)(20, 124)(21, 125)(22, 126)(23, 127)(24, 128)(25, 129)(26, 130)(27, 131)(28, 132)(29, 133)(30, 134)(31, 135)(32, 136)(33, 137)(34, 138)(35, 139)(36, 140)(37, 141)(38, 142)(39, 143)(40, 144)(41, 145)(42, 146)(43, 147)(44, 148)(45, 149)(46, 150)(47, 151)(48, 152)(49, 153)(50, 154)(51, 155)(52, 156)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)(209, 313, 210, 314, 214, 318, 212, 316)(211, 315, 216, 320, 221, 325, 218, 322)(213, 317, 215, 319, 222, 326, 219, 323)(217, 321, 224, 328, 229, 333, 226, 330)(220, 324, 223, 327, 230, 334, 227, 331)(225, 329, 232, 336, 237, 341, 234, 338)(228, 332, 231, 335, 238, 342, 235, 339)(233, 337, 240, 344, 245, 349, 242, 346)(236, 340, 239, 343, 246, 350, 243, 347)(241, 345, 248, 352, 253, 357, 250, 354)(244, 348, 247, 351, 254, 358, 251, 355)(249, 353, 256, 360, 261, 365, 258, 362)(252, 356, 255, 359, 262, 366, 259, 363)(257, 361, 264, 368, 269, 373, 266, 370)(260, 364, 263, 367, 270, 374, 267, 371)(265, 369, 272, 376, 277, 381, 274, 378)(268, 372, 271, 375, 278, 382, 275, 379)(273, 377, 280, 384, 285, 389, 282, 386)(276, 380, 279, 383, 286, 390, 283, 387)(281, 385, 288, 392, 293, 397, 290, 394)(284, 388, 287, 391, 294, 398, 291, 395)(289, 393, 296, 400, 301, 405, 298, 402)(292, 396, 295, 399, 302, 406, 299, 403)(297, 401, 304, 408, 309, 413, 306, 410)(300, 404, 303, 407, 310, 414, 307, 411)(305, 409, 312, 416, 308, 412, 311, 415)
	L = (1, 211)(2, 215)(3, 217)(4, 219)(5, 209)(6, 221)(7, 223)(8, 210)(9, 225)(10, 212)(11, 227)(12, 213)(13, 229)(14, 214)(15, 231)(16, 216)(17, 233)(18, 218)(19, 235)(20, 220)(21, 237)(22, 222)(23, 239)(24, 224)(25, 241)(26, 226)(27, 243)(28, 228)(29, 245)(30, 230)(31, 247)(32, 232)(33, 249)(34, 234)(35, 251)(36, 236)(37, 253)(38, 238)(39, 255)(40, 240)(41, 257)(42, 242)(43, 259)(44, 244)(45, 261)(46, 246)(47, 263)(48, 248)(49, 265)(50, 250)(51, 267)(52, 252)(53, 269)(54, 254)(55, 271)(56, 256)(57, 273)(58, 258)(59, 275)(60, 260)(61, 277)(62, 262)(63, 279)(64, 264)(65, 281)(66, 266)(67, 283)(68, 268)(69, 285)(70, 270)(71, 287)(72, 272)(73, 289)(74, 274)(75, 291)(76, 276)(77, 293)(78, 278)(79, 295)(80, 280)(81, 297)(82, 282)(83, 299)(84, 284)(85, 301)(86, 286)(87, 303)(88, 288)(89, 305)(90, 290)(91, 307)(92, 292)(93, 309)(94, 294)(95, 311)(96, 296)(97, 310)(98, 298)(99, 312)(100, 300)(101, 308)(102, 302)(103, 306)(104, 304)(105, 313)(106, 314)(107, 315)(108, 316)(109, 317)(110, 318)(111, 319)(112, 320)(113, 321)(114, 322)(115, 323)(116, 324)(117, 325)(118, 326)(119, 327)(120, 328)(121, 329)(122, 330)(123, 331)(124, 332)(125, 333)(126, 334)(127, 335)(128, 336)(129, 337)(130, 338)(131, 339)(132, 340)(133, 341)(134, 342)(135, 343)(136, 344)(137, 345)(138, 346)(139, 347)(140, 348)(141, 349)(142, 350)(143, 351)(144, 352)(145, 353)(146, 354)(147, 355)(148, 356)(149, 357)(150, 358)(151, 359)(152, 360)(153, 361)(154, 362)(155, 363)(156, 364)(157, 365)(158, 366)(159, 367)(160, 368)(161, 369)(162, 370)(163, 371)(164, 372)(165, 373)(166, 374)(167, 375)(168, 376)(169, 377)(170, 378)(171, 379)(172, 380)(173, 381)(174, 382)(175, 383)(176, 384)(177, 385)(178, 386)(179, 387)(180, 388)(181, 389)(182, 390)(183, 391)(184, 392)(185, 393)(186, 394)(187, 395)(188, 396)(189, 397)(190, 398)(191, 399)(192, 400)(193, 401)(194, 402)(195, 403)(196, 404)(197, 405)(198, 406)(199, 407)(200, 408)(201, 409)(202, 410)(203, 411)(204, 412)(205, 413)(206, 414)(207, 415)(208, 416)
	local type(s) :: { ( 8, 104 ), ( 8, 104, 8, 104, 8, 104, 8, 104 ) }
Outer automorphisms :: reflexible
Dual of E26.1223
Graph:: simple bipartite
	v = 130 e = 208 f = 28
	degree seq :: [ 2^104, 8^26 ]

E26.1225 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 104, 104})
Quotient :: regular
Aut^+ = C104 (small group id <104, 2>)
Aut   = D208 (small group id <208, 7>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^52 ]
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, 89, 90, 91, 93, 88, 95, 96, 97, 99, 102, 85, 66, 49, 31, 27, 23, 19, 15, 11, 7, 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, 92, 94, 86, 67, 87, 98, 100, 103, 104, 101, 84, 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, 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, 89)(85, 101)(86, 93)(87, 95)(90, 92)(91, 94)(96, 98)(97, 100)(99, 103)(102, 104)
	local type(s) :: { ( 104^104 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 1 e = 52 f = 1
	degree seq :: [ 104 ]

E26.1226 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 104, 104})
Quotient :: edge
Aut^+ = C104 (small group id <104, 2>)
Aut   = D208 (small group id <208, 7>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^52 * T1 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 35, 37, 39, 41, 43, 45, 47, 50, 51, 53, 55, 57, 59, 61, 63, 65, 70, 72, 74, 76, 78, 80, 82, 89, 90, 92, 94, 87, 95, 96, 98, 100, 102, 85, 66, 49, 30, 26, 22, 18, 14, 10, 6, 2, 5, 9, 13, 17, 21, 25, 29, 33, 34, 36, 38, 40, 42, 44, 46, 48, 52, 54, 56, 58, 60, 62, 64, 68, 69, 71, 73, 75, 77, 79, 81, 83, 91, 93, 86, 67, 88, 97, 99, 103, 104, 101, 84, 32, 28, 24, 20, 16, 12, 8, 4)(105, 106)(107, 109)(108, 110)(111, 113)(112, 114)(115, 117)(116, 118)(119, 121)(120, 122)(123, 125)(124, 126)(127, 129)(128, 130)(131, 133)(132, 134)(135, 137)(136, 153)(138, 139)(140, 141)(142, 143)(144, 145)(146, 147)(148, 149)(150, 151)(152, 154)(155, 156)(157, 158)(159, 160)(161, 162)(163, 164)(165, 166)(167, 168)(169, 172)(170, 188)(171, 191)(173, 174)(175, 176)(177, 178)(179, 180)(181, 182)(183, 184)(185, 186)(187, 193)(189, 205)(190, 198)(192, 199)(194, 195)(196, 197)(200, 201)(202, 203)(204, 207)(206, 208)
	L = (1, 105)(2, 106)(3, 107)(4, 108)(5, 109)(6, 110)(7, 111)(8, 112)(9, 113)(10, 114)(11, 115)(12, 116)(13, 117)(14, 118)(15, 119)(16, 120)(17, 121)(18, 122)(19, 123)(20, 124)(21, 125)(22, 126)(23, 127)(24, 128)(25, 129)(26, 130)(27, 131)(28, 132)(29, 133)(30, 134)(31, 135)(32, 136)(33, 137)(34, 138)(35, 139)(36, 140)(37, 141)(38, 142)(39, 143)(40, 144)(41, 145)(42, 146)(43, 147)(44, 148)(45, 149)(46, 150)(47, 151)(48, 152)(49, 153)(50, 154)(51, 155)(52, 156)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 208, 208 ), ( 208^104 ) }
Outer automorphisms :: reflexible
Dual of E26.1227
Transitivity :: ET+
Graph:: bipartite
	v = 53 e = 104 f = 1
	degree seq :: [ 2^52, 104 ]

E26.1227 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 104, 104})
Quotient :: loop
Aut^+ = C104 (small group id <104, 2>)
Aut   = D208 (small group id <208, 7>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^52 * T1 ]
Map::
	R = (1, 105, 3, 107, 7, 111, 11, 115, 15, 119, 19, 123, 23, 127, 27, 131, 31, 135, 34, 138, 37, 141, 39, 143, 41, 145, 43, 147, 45, 149, 47, 151, 49, 153, 55, 159, 52, 156, 54, 158, 57, 161, 59, 163, 61, 165, 63, 167, 65, 169, 67, 171, 69, 173, 73, 177, 76, 180, 78, 182, 80, 184, 82, 186, 84, 188, 86, 190, 88, 192, 91, 195, 93, 197, 94, 198, 96, 200, 98, 202, 100, 204, 102, 206, 90, 194, 70, 174, 51, 155, 30, 134, 26, 130, 22, 126, 18, 122, 14, 118, 10, 114, 6, 110, 2, 106, 5, 109, 9, 113, 13, 117, 17, 121, 21, 125, 25, 129, 29, 133, 36, 140, 33, 137, 35, 139, 38, 142, 40, 144, 42, 146, 44, 148, 46, 150, 48, 152, 50, 154, 53, 157, 56, 160, 58, 162, 60, 164, 62, 166, 64, 168, 66, 170, 68, 172, 75, 179, 72, 176, 74, 178, 77, 181, 79, 183, 81, 185, 83, 187, 85, 189, 87, 191, 71, 175, 92, 196, 95, 199, 97, 201, 99, 203, 101, 205, 103, 207, 104, 208, 89, 193, 32, 136, 28, 132, 24, 128, 20, 124, 16, 120, 12, 116, 8, 112, 4, 108)
	L = (1, 106)(2, 105)(3, 109)(4, 110)(5, 107)(6, 108)(7, 113)(8, 114)(9, 111)(10, 112)(11, 117)(12, 118)(13, 115)(14, 116)(15, 121)(16, 122)(17, 119)(18, 120)(19, 125)(20, 126)(21, 123)(22, 124)(23, 129)(24, 130)(25, 127)(26, 128)(27, 133)(28, 134)(29, 131)(30, 132)(31, 140)(32, 155)(33, 138)(34, 137)(35, 141)(36, 135)(37, 139)(38, 143)(39, 142)(40, 145)(41, 144)(42, 147)(43, 146)(44, 149)(45, 148)(46, 151)(47, 150)(48, 153)(49, 152)(50, 159)(51, 136)(52, 157)(53, 156)(54, 160)(55, 154)(56, 158)(57, 162)(58, 161)(59, 164)(60, 163)(61, 166)(62, 165)(63, 168)(64, 167)(65, 170)(66, 169)(67, 172)(68, 171)(69, 179)(70, 193)(71, 195)(72, 177)(73, 176)(74, 180)(75, 173)(76, 178)(77, 182)(78, 181)(79, 184)(80, 183)(81, 186)(82, 185)(83, 188)(84, 187)(85, 190)(86, 189)(87, 192)(88, 191)(89, 174)(90, 208)(91, 175)(92, 197)(93, 196)(94, 199)(95, 198)(96, 201)(97, 200)(98, 203)(99, 202)(100, 205)(101, 204)(102, 207)(103, 206)(104, 194)
	local type(s) :: { ( 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104 ) }
Outer automorphisms :: reflexible
Dual of E26.1226
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 104 f = 53
	degree seq :: [ 208 ]

E26.1228 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 104, 104})
Quotient :: dipole
Aut^+ = C104 (small group id <104, 2>)
Aut   = D208 (small group id <208, 7>)
|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, Y2^52 * Y1, (Y3 * Y2^-1)^104 ]
Map::
	R = (1, 105, 2, 106)(3, 107, 5, 109)(4, 108, 6, 110)(7, 111, 9, 113)(8, 112, 10, 114)(11, 115, 13, 117)(12, 116, 14, 118)(15, 119, 17, 121)(16, 120, 18, 122)(19, 123, 21, 125)(20, 124, 22, 126)(23, 127, 25, 129)(24, 128, 26, 130)(27, 131, 29, 133)(28, 132, 30, 134)(31, 135, 33, 137)(32, 136, 49, 153)(34, 138, 35, 139)(36, 140, 37, 141)(38, 142, 39, 143)(40, 144, 41, 145)(42, 146, 43, 147)(44, 148, 45, 149)(46, 150, 47, 151)(48, 152, 50, 154)(51, 155, 52, 156)(53, 157, 54, 158)(55, 159, 56, 160)(57, 161, 58, 162)(59, 163, 60, 164)(61, 165, 62, 166)(63, 167, 64, 168)(65, 169, 68, 172)(66, 170, 84, 188)(67, 171, 87, 191)(69, 173, 70, 174)(71, 175, 72, 176)(73, 177, 74, 178)(75, 179, 76, 180)(77, 181, 78, 182)(79, 183, 80, 184)(81, 185, 82, 186)(83, 187, 89, 193)(85, 189, 101, 205)(86, 190, 94, 198)(88, 192, 95, 199)(90, 194, 91, 195)(92, 196, 93, 197)(96, 200, 97, 201)(98, 202, 99, 203)(100, 204, 103, 207)(102, 206, 104, 208)(209, 313, 211, 315, 215, 319, 219, 323, 223, 327, 227, 331, 231, 335, 235, 339, 239, 343, 243, 347, 245, 349, 247, 351, 249, 353, 251, 355, 253, 357, 255, 359, 258, 362, 259, 363, 261, 365, 263, 367, 265, 369, 267, 371, 269, 373, 271, 375, 273, 377, 278, 382, 280, 384, 282, 386, 284, 388, 286, 390, 288, 392, 290, 394, 297, 401, 298, 402, 300, 404, 302, 406, 295, 399, 303, 407, 304, 408, 306, 410, 308, 412, 310, 414, 293, 397, 274, 378, 257, 361, 238, 342, 234, 338, 230, 334, 226, 330, 222, 326, 218, 322, 214, 318, 210, 314, 213, 317, 217, 321, 221, 325, 225, 329, 229, 333, 233, 337, 237, 341, 241, 345, 242, 346, 244, 348, 246, 350, 248, 352, 250, 354, 252, 356, 254, 358, 256, 360, 260, 364, 262, 366, 264, 368, 266, 370, 268, 372, 270, 374, 272, 376, 276, 380, 277, 381, 279, 383, 281, 385, 283, 387, 285, 389, 287, 391, 289, 393, 291, 395, 299, 403, 301, 405, 294, 398, 275, 379, 296, 400, 305, 409, 307, 411, 311, 415, 312, 416, 309, 413, 292, 396, 240, 344, 236, 340, 232, 336, 228, 332, 224, 328, 220, 324, 216, 320, 212, 316)
	L = (1, 210)(2, 209)(3, 213)(4, 214)(5, 211)(6, 212)(7, 217)(8, 218)(9, 215)(10, 216)(11, 221)(12, 222)(13, 219)(14, 220)(15, 225)(16, 226)(17, 223)(18, 224)(19, 229)(20, 230)(21, 227)(22, 228)(23, 233)(24, 234)(25, 231)(26, 232)(27, 237)(28, 238)(29, 235)(30, 236)(31, 241)(32, 257)(33, 239)(34, 243)(35, 242)(36, 245)(37, 244)(38, 247)(39, 246)(40, 249)(41, 248)(42, 251)(43, 250)(44, 253)(45, 252)(46, 255)(47, 254)(48, 258)(49, 240)(50, 256)(51, 260)(52, 259)(53, 262)(54, 261)(55, 264)(56, 263)(57, 266)(58, 265)(59, 268)(60, 267)(61, 270)(62, 269)(63, 272)(64, 271)(65, 276)(66, 292)(67, 295)(68, 273)(69, 278)(70, 277)(71, 280)(72, 279)(73, 282)(74, 281)(75, 284)(76, 283)(77, 286)(78, 285)(79, 288)(80, 287)(81, 290)(82, 289)(83, 297)(84, 274)(85, 309)(86, 302)(87, 275)(88, 303)(89, 291)(90, 299)(91, 298)(92, 301)(93, 300)(94, 294)(95, 296)(96, 305)(97, 304)(98, 307)(99, 306)(100, 311)(101, 293)(102, 312)(103, 308)(104, 310)(105, 313)(106, 314)(107, 315)(108, 316)(109, 317)(110, 318)(111, 319)(112, 320)(113, 321)(114, 322)(115, 323)(116, 324)(117, 325)(118, 326)(119, 327)(120, 328)(121, 329)(122, 330)(123, 331)(124, 332)(125, 333)(126, 334)(127, 335)(128, 336)(129, 337)(130, 338)(131, 339)(132, 340)(133, 341)(134, 342)(135, 343)(136, 344)(137, 345)(138, 346)(139, 347)(140, 348)(141, 349)(142, 350)(143, 351)(144, 352)(145, 353)(146, 354)(147, 355)(148, 356)(149, 357)(150, 358)(151, 359)(152, 360)(153, 361)(154, 362)(155, 363)(156, 364)(157, 365)(158, 366)(159, 367)(160, 368)(161, 369)(162, 370)(163, 371)(164, 372)(165, 373)(166, 374)(167, 375)(168, 376)(169, 377)(170, 378)(171, 379)(172, 380)(173, 381)(174, 382)(175, 383)(176, 384)(177, 385)(178, 386)(179, 387)(180, 388)(181, 389)(182, 390)(183, 391)(184, 392)(185, 393)(186, 394)(187, 395)(188, 396)(189, 397)(190, 398)(191, 399)(192, 400)(193, 401)(194, 402)(195, 403)(196, 404)(197, 405)(198, 406)(199, 407)(200, 408)(201, 409)(202, 410)(203, 411)(204, 412)(205, 413)(206, 414)(207, 415)(208, 416)
	local type(s) :: { ( 2, 208, 2, 208 ), ( 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208, 2, 208 ) }
Outer automorphisms :: reflexible
Dual of E26.1229
Graph:: bipartite
	v = 53 e = 208 f = 105
	degree seq :: [ 4^52, 208 ]

E26.1229 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 104, 104})
Quotient :: dipole
Aut^+ = C104 (small group id <104, 2>)
Aut   = D208 (small group id <208, 7>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, (Y3 * Y2^-1)^2, Y3 * Y1^52 ]
Map::
	R = (1, 105, 2, 106, 5, 109, 9, 113, 13, 117, 17, 121, 21, 125, 25, 129, 29, 133, 36, 140, 38, 142, 40, 144, 42, 146, 44, 148, 46, 150, 48, 152, 50, 154, 51, 155, 52, 156, 54, 158, 56, 160, 58, 162, 60, 164, 62, 166, 64, 168, 71, 175, 73, 177, 75, 179, 77, 181, 79, 183, 81, 185, 83, 187, 89, 193, 90, 194, 91, 195, 93, 197, 88, 192, 95, 199, 96, 200, 97, 201, 99, 203, 102, 206, 85, 189, 66, 170, 49, 153, 31, 135, 27, 131, 23, 127, 19, 123, 15, 119, 11, 115, 7, 111, 3, 107, 6, 110, 10, 114, 14, 118, 18, 122, 22, 126, 26, 130, 30, 134, 33, 137, 34, 138, 35, 139, 37, 141, 39, 143, 41, 145, 43, 147, 45, 149, 47, 151, 53, 157, 55, 159, 57, 161, 59, 163, 61, 165, 63, 167, 65, 169, 68, 172, 69, 173, 70, 174, 72, 176, 74, 178, 76, 180, 78, 182, 80, 184, 82, 186, 92, 196, 94, 198, 86, 190, 67, 171, 87, 191, 98, 202, 100, 204, 103, 207, 104, 208, 101, 205, 84, 188, 32, 136, 28, 132, 24, 128, 20, 124, 16, 120, 12, 116, 8, 112, 4, 108)(209, 313)(210, 314)(211, 315)(212, 316)(213, 317)(214, 318)(215, 319)(216, 320)(217, 321)(218, 322)(219, 323)(220, 324)(221, 325)(222, 326)(223, 327)(224, 328)(225, 329)(226, 330)(227, 331)(228, 332)(229, 333)(230, 334)(231, 335)(232, 336)(233, 337)(234, 338)(235, 339)(236, 340)(237, 341)(238, 342)(239, 343)(240, 344)(241, 345)(242, 346)(243, 347)(244, 348)(245, 349)(246, 350)(247, 351)(248, 352)(249, 353)(250, 354)(251, 355)(252, 356)(253, 357)(254, 358)(255, 359)(256, 360)(257, 361)(258, 362)(259, 363)(260, 364)(261, 365)(262, 366)(263, 367)(264, 368)(265, 369)(266, 370)(267, 371)(268, 372)(269, 373)(270, 374)(271, 375)(272, 376)(273, 377)(274, 378)(275, 379)(276, 380)(277, 381)(278, 382)(279, 383)(280, 384)(281, 385)(282, 386)(283, 387)(284, 388)(285, 389)(286, 390)(287, 391)(288, 392)(289, 393)(290, 394)(291, 395)(292, 396)(293, 397)(294, 398)(295, 399)(296, 400)(297, 401)(298, 402)(299, 403)(300, 404)(301, 405)(302, 406)(303, 407)(304, 408)(305, 409)(306, 410)(307, 411)(308, 412)(309, 413)(310, 414)(311, 415)(312, 416)
	L = (1, 211)(2, 214)(3, 209)(4, 215)(5, 218)(6, 210)(7, 212)(8, 219)(9, 222)(10, 213)(11, 216)(12, 223)(13, 226)(14, 217)(15, 220)(16, 227)(17, 230)(18, 221)(19, 224)(20, 231)(21, 234)(22, 225)(23, 228)(24, 235)(25, 238)(26, 229)(27, 232)(28, 239)(29, 241)(30, 233)(31, 236)(32, 257)(33, 237)(34, 244)(35, 246)(36, 242)(37, 248)(38, 243)(39, 250)(40, 245)(41, 252)(42, 247)(43, 254)(44, 249)(45, 256)(46, 251)(47, 258)(48, 253)(49, 240)(50, 255)(51, 261)(52, 263)(53, 259)(54, 265)(55, 260)(56, 267)(57, 262)(58, 269)(59, 264)(60, 271)(61, 266)(62, 273)(63, 268)(64, 276)(65, 270)(66, 292)(67, 296)(68, 272)(69, 279)(70, 281)(71, 277)(72, 283)(73, 278)(74, 285)(75, 280)(76, 287)(77, 282)(78, 289)(79, 284)(80, 291)(81, 286)(82, 297)(83, 288)(84, 274)(85, 309)(86, 301)(87, 303)(88, 275)(89, 290)(90, 300)(91, 302)(92, 298)(93, 294)(94, 299)(95, 295)(96, 306)(97, 308)(98, 304)(99, 311)(100, 305)(101, 293)(102, 312)(103, 307)(104, 310)(105, 313)(106, 314)(107, 315)(108, 316)(109, 317)(110, 318)(111, 319)(112, 320)(113, 321)(114, 322)(115, 323)(116, 324)(117, 325)(118, 326)(119, 327)(120, 328)(121, 329)(122, 330)(123, 331)(124, 332)(125, 333)(126, 334)(127, 335)(128, 336)(129, 337)(130, 338)(131, 339)(132, 340)(133, 341)(134, 342)(135, 343)(136, 344)(137, 345)(138, 346)(139, 347)(140, 348)(141, 349)(142, 350)(143, 351)(144, 352)(145, 353)(146, 354)(147, 355)(148, 356)(149, 357)(150, 358)(151, 359)(152, 360)(153, 361)(154, 362)(155, 363)(156, 364)(157, 365)(158, 366)(159, 367)(160, 368)(161, 369)(162, 370)(163, 371)(164, 372)(165, 373)(166, 374)(167, 375)(168, 376)(169, 377)(170, 378)(171, 379)(172, 380)(173, 381)(174, 382)(175, 383)(176, 384)(177, 385)(178, 386)(179, 387)(180, 388)(181, 389)(182, 390)(183, 391)(184, 392)(185, 393)(186, 394)(187, 395)(188, 396)(189, 397)(190, 398)(191, 399)(192, 400)(193, 401)(194, 402)(195, 403)(196, 404)(197, 405)(198, 406)(199, 407)(200, 408)(201, 409)(202, 410)(203, 411)(204, 412)(205, 413)(206, 414)(207, 415)(208, 416)
	local type(s) :: { ( 4, 208 ), ( 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208, 4, 208 ) }
Outer automorphisms :: reflexible
Dual of E26.1228
Graph:: bipartite
	v = 105 e = 208 f = 53
	degree seq :: [ 2^104, 208 ]

E26.1230 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 53, 106})
Quotient :: regular
Aut^+ = C106 (small group id <106, 2>)
Aut   = D212 (small group id <212, 4>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-53 ]
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, 71, 92, 94, 97, 99, 101, 103, 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, 96, 93, 95, 98, 100, 102, 104, 105, 106, 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, 93)(72, 74)(73, 76)(75, 79)(78, 81)(80, 83)(82, 85)(84, 87)(86, 89)(88, 96)(91, 106)(92, 95)(94, 98)(97, 100)(99, 102)(101, 104)(103, 105)
	local type(s) :: { ( 53^106 ) }
Outer automorphisms :: reflexible
Dual of E26.1231
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 1 e = 53 f = 2
	degree seq :: [ 106 ]

E26.1231 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 53, 106})
Quotient :: regular
Aut^+ = C106 (small group id <106, 2>)
Aut   = D212 (small group id <212, 4>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T1^53 ]
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, 94, 95, 96, 97, 99, 101, 103, 105, 90, 32, 28, 24, 20, 16, 12, 8, 4)(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, 92, 71, 93, 98, 100, 102, 104, 106, 91, 70, 51, 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, 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, 92)(91, 105)(93, 95)(96, 98)(97, 100)(99, 102)(101, 104)(103, 106)
	local type(s) :: { ( 106^53 ) }
Outer automorphisms :: reflexible
Dual of E26.1230
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 53 f = 1
	degree seq :: [ 53^2 ]

E26.1232 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 53, 106})
Quotient :: edge
Aut^+ = C106 (small group id <106, 2>)
Aut   = D212 (small group id <212, 4>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^53 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 44, 40, 36, 33, 35, 39, 43, 47, 50, 52, 54, 56, 69, 65, 61, 58, 60, 64, 68, 72, 75, 77, 79, 81, 95, 91, 87, 84, 86, 90, 94, 97, 100, 102, 104, 106, 32, 28, 24, 20, 16, 12, 8, 4)(2, 5, 9, 13, 17, 21, 25, 29, 49, 46, 42, 38, 34, 37, 41, 45, 48, 51, 53, 55, 74, 71, 67, 63, 59, 62, 66, 70, 73, 76, 78, 80, 99, 83, 93, 89, 85, 88, 92, 96, 98, 101, 103, 105, 82, 57, 30, 26, 22, 18, 14, 10, 6)(107, 108)(109, 111)(110, 112)(113, 115)(114, 116)(117, 119)(118, 120)(121, 123)(122, 124)(125, 127)(126, 128)(129, 131)(130, 132)(133, 135)(134, 136)(137, 155)(138, 163)(139, 140)(141, 143)(142, 144)(145, 147)(146, 148)(149, 151)(150, 152)(153, 154)(156, 157)(158, 159)(160, 161)(162, 180)(164, 165)(166, 168)(167, 169)(170, 172)(171, 173)(174, 176)(175, 177)(178, 179)(181, 182)(183, 184)(185, 186)(187, 205)(188, 212)(189, 201)(190, 191)(192, 194)(193, 195)(196, 198)(197, 199)(200, 202)(203, 204)(206, 207)(208, 209)(210, 211)
	L = (1, 107)(2, 108)(3, 109)(4, 110)(5, 111)(6, 112)(7, 113)(8, 114)(9, 115)(10, 116)(11, 117)(12, 118)(13, 119)(14, 120)(15, 121)(16, 122)(17, 123)(18, 124)(19, 125)(20, 126)(21, 127)(22, 128)(23, 129)(24, 130)(25, 131)(26, 132)(27, 133)(28, 134)(29, 135)(30, 136)(31, 137)(32, 138)(33, 139)(34, 140)(35, 141)(36, 142)(37, 143)(38, 144)(39, 145)(40, 146)(41, 147)(42, 148)(43, 149)(44, 150)(45, 151)(46, 152)(47, 153)(48, 154)(49, 155)(50, 156)(51, 157)(52, 158)(53, 159)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 212, 212 ), ( 212^53 ) }
Outer automorphisms :: reflexible
Dual of E26.1236
Transitivity :: ET+
Graph:: simple bipartite
	v = 55 e = 106 f = 1
	degree seq :: [ 2^53, 53^2 ]

E26.1233 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 53, 106})
Quotient :: edge
Aut^+ = C106 (small group id <106, 2>)
Aut   = D212 (small group id <212, 4>)
|r| :: 2
Presentation :: [ F^2, T2^-2 * T1^-2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1)^2, T2^-2 * T1^24 * T2^-1 * T1 * T2^-25, T2^-2 * T1^51, T2^23 * T1^22 * T2^-1 * T1^25 * T2^-1 * T1^25 * T2^-1 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 13, 17, 21, 25, 29, 33, 57, 81, 105, 103, 102, 99, 98, 95, 94, 89, 88, 84, 86, 91, 80, 77, 76, 73, 72, 69, 66, 60, 65, 62, 68, 55, 54, 51, 50, 47, 46, 40, 39, 35, 37, 43, 32, 27, 24, 19, 16, 11, 8, 2, 7, 4, 10, 14, 18, 22, 26, 30, 34, 58, 82, 106, 104, 101, 100, 97, 96, 93, 90, 85, 83, 87, 92, 79, 78, 75, 74, 71, 70, 64, 63, 59, 61, 67, 56, 53, 52, 49, 48, 45, 42, 36, 41, 38, 44, 31, 28, 23, 20, 15, 12, 6, 5)(107, 108, 112, 117, 121, 125, 129, 133, 137, 149, 144, 141, 142, 146, 151, 153, 155, 157, 159, 161, 173, 168, 165, 166, 170, 175, 177, 179, 181, 183, 185, 197, 193, 190, 191, 195, 199, 201, 203, 205, 207, 209, 212, 187, 164, 139, 136, 131, 128, 123, 120, 115, 110)(109, 113, 111, 114, 118, 122, 126, 130, 134, 138, 150, 143, 147, 145, 148, 152, 154, 156, 158, 160, 162, 174, 167, 171, 169, 172, 176, 178, 180, 182, 184, 186, 198, 192, 189, 194, 196, 200, 202, 204, 206, 208, 210, 211, 188, 163, 140, 135, 132, 127, 124, 119, 116)
	L = (1, 107)(2, 108)(3, 109)(4, 110)(5, 111)(6, 112)(7, 113)(8, 114)(9, 115)(10, 116)(11, 117)(12, 118)(13, 119)(14, 120)(15, 121)(16, 122)(17, 123)(18, 124)(19, 125)(20, 126)(21, 127)(22, 128)(23, 129)(24, 130)(25, 131)(26, 132)(27, 133)(28, 134)(29, 135)(30, 136)(31, 137)(32, 138)(33, 139)(34, 140)(35, 141)(36, 142)(37, 143)(38, 144)(39, 145)(40, 146)(41, 147)(42, 148)(43, 149)(44, 150)(45, 151)(46, 152)(47, 153)(48, 154)(49, 155)(50, 156)(51, 157)(52, 158)(53, 159)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 4^53 ), ( 4^106 ) }
Outer automorphisms :: reflexible
Dual of E26.1237
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 106 f = 53
	degree seq :: [ 53^2, 106 ]

E26.1234 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 53, 106})
Quotient :: edge
Aut^+ = C106 (small group id <106, 2>)
Aut   = D212 (small group id <212, 4>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-53 ]
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, 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, 89)(85, 101)(86, 95)(87, 97)(90, 92)(91, 94)(93, 96)(98, 100)(99, 103)(102, 105)(104, 106)(107, 108, 111, 115, 119, 123, 127, 131, 135, 142, 144, 146, 148, 150, 152, 154, 156, 157, 158, 160, 162, 164, 166, 168, 170, 177, 179, 181, 183, 185, 187, 189, 195, 196, 197, 199, 201, 194, 203, 204, 205, 212, 208, 191, 172, 155, 137, 133, 129, 125, 121, 117, 113, 109, 112, 116, 120, 124, 128, 132, 136, 139, 140, 141, 143, 145, 147, 149, 151, 153, 159, 161, 163, 165, 167, 169, 171, 174, 175, 176, 178, 180, 182, 184, 186, 188, 198, 200, 202, 192, 173, 193, 206, 209, 210, 211, 207, 190, 138, 134, 130, 126, 122, 118, 114, 110)
	L = (1, 107)(2, 108)(3, 109)(4, 110)(5, 111)(6, 112)(7, 113)(8, 114)(9, 115)(10, 116)(11, 117)(12, 118)(13, 119)(14, 120)(15, 121)(16, 122)(17, 123)(18, 124)(19, 125)(20, 126)(21, 127)(22, 128)(23, 129)(24, 130)(25, 131)(26, 132)(27, 133)(28, 134)(29, 135)(30, 136)(31, 137)(32, 138)(33, 139)(34, 140)(35, 141)(36, 142)(37, 143)(38, 144)(39, 145)(40, 146)(41, 147)(42, 148)(43, 149)(44, 150)(45, 151)(46, 152)(47, 153)(48, 154)(49, 155)(50, 156)(51, 157)(52, 158)(53, 159)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)
	local type(s) :: { ( 106, 106 ), ( 106^106 ) }
Outer automorphisms :: reflexible
Dual of E26.1235
Transitivity :: ET+
Graph:: bipartite
	v = 54 e = 106 f = 2
	degree seq :: [ 2^53, 106 ]

E26.1235 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 53, 106})
Quotient :: loop
Aut^+ = C106 (small group id <106, 2>)
Aut   = D212 (small group id <212, 4>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^53 ]
Map::
	R = (1, 107, 3, 109, 7, 113, 11, 117, 15, 121, 19, 125, 23, 129, 27, 133, 31, 137, 35, 141, 37, 143, 39, 145, 41, 147, 43, 149, 45, 151, 47, 153, 50, 156, 51, 157, 53, 159, 55, 161, 57, 163, 59, 165, 61, 167, 63, 169, 65, 171, 70, 176, 72, 178, 74, 180, 76, 182, 78, 184, 80, 186, 82, 188, 89, 195, 90, 196, 92, 198, 94, 200, 86, 192, 67, 173, 88, 194, 98, 204, 100, 206, 105, 211, 106, 212, 101, 207, 84, 190, 32, 138, 28, 134, 24, 130, 20, 126, 16, 122, 12, 118, 8, 114, 4, 110)(2, 108, 5, 111, 9, 115, 13, 119, 17, 123, 21, 127, 25, 131, 29, 135, 33, 139, 34, 140, 36, 142, 38, 144, 40, 146, 42, 148, 44, 150, 46, 152, 48, 154, 52, 158, 54, 160, 56, 162, 58, 164, 60, 166, 62, 168, 64, 170, 68, 174, 69, 175, 71, 177, 73, 179, 75, 181, 77, 183, 79, 185, 81, 187, 83, 189, 91, 197, 93, 199, 95, 201, 96, 202, 87, 193, 97, 203, 99, 205, 103, 209, 104, 210, 102, 208, 85, 191, 66, 172, 49, 155, 30, 136, 26, 132, 22, 128, 18, 124, 14, 120, 10, 116, 6, 112)
	L = (1, 108)(2, 107)(3, 111)(4, 112)(5, 109)(6, 110)(7, 115)(8, 116)(9, 113)(10, 114)(11, 119)(12, 120)(13, 117)(14, 118)(15, 123)(16, 124)(17, 121)(18, 122)(19, 127)(20, 128)(21, 125)(22, 126)(23, 131)(24, 132)(25, 129)(26, 130)(27, 135)(28, 136)(29, 133)(30, 134)(31, 139)(32, 155)(33, 137)(34, 141)(35, 140)(36, 143)(37, 142)(38, 145)(39, 144)(40, 147)(41, 146)(42, 149)(43, 148)(44, 151)(45, 150)(46, 153)(47, 152)(48, 156)(49, 138)(50, 154)(51, 158)(52, 157)(53, 160)(54, 159)(55, 162)(56, 161)(57, 164)(58, 163)(59, 166)(60, 165)(61, 168)(62, 167)(63, 170)(64, 169)(65, 174)(66, 190)(67, 193)(68, 171)(69, 176)(70, 175)(71, 178)(72, 177)(73, 180)(74, 179)(75, 182)(76, 181)(77, 184)(78, 183)(79, 186)(80, 185)(81, 188)(82, 187)(83, 195)(84, 172)(85, 207)(86, 202)(87, 173)(88, 203)(89, 189)(90, 197)(91, 196)(92, 199)(93, 198)(94, 201)(95, 200)(96, 192)(97, 194)(98, 205)(99, 204)(100, 209)(101, 191)(102, 212)(103, 206)(104, 211)(105, 210)(106, 208)
	local type(s) :: { ( 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106 ) }
Outer automorphisms :: reflexible
Dual of E26.1234
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 106 f = 54
	degree seq :: [ 106^2 ]

E26.1236 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 53, 106})
Quotient :: loop
Aut^+ = C106 (small group id <106, 2>)
Aut   = D212 (small group id <212, 4>)
|r| :: 2
Presentation :: [ F^2, T2^-2 * T1^-2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1)^2, T2^-2 * T1^24 * T2^-1 * T1 * T2^-25, T2^-2 * T1^51, T2^23 * T1^22 * T2^-1 * T1^25 * T2^-1 * T1^25 * T2^-1 * T1 ]
Map::
	R = (1, 107, 3, 109, 9, 115, 13, 119, 17, 123, 21, 127, 25, 131, 29, 135, 33, 139, 53, 159, 73, 179, 93, 199, 105, 211, 104, 210, 101, 207, 100, 206, 97, 203, 95, 201, 76, 182, 92, 198, 89, 195, 88, 194, 85, 191, 84, 190, 80, 186, 79, 185, 77, 183, 72, 178, 69, 175, 68, 174, 65, 171, 64, 170, 61, 167, 60, 166, 56, 162, 59, 165, 51, 157, 50, 156, 47, 153, 46, 152, 43, 149, 42, 148, 38, 144, 37, 143, 35, 141, 32, 138, 27, 133, 24, 130, 19, 125, 16, 122, 11, 117, 8, 114, 2, 108, 7, 113, 4, 110, 10, 116, 14, 120, 18, 124, 22, 128, 26, 132, 30, 136, 34, 140, 54, 160, 74, 180, 94, 200, 106, 212, 103, 209, 102, 208, 99, 205, 98, 204, 96, 202, 75, 181, 91, 197, 90, 196, 87, 193, 86, 192, 83, 189, 82, 188, 78, 184, 81, 187, 71, 177, 70, 176, 67, 173, 66, 172, 63, 169, 62, 168, 58, 164, 57, 163, 55, 161, 52, 158, 49, 155, 48, 154, 45, 151, 44, 150, 41, 147, 40, 146, 36, 142, 39, 145, 31, 137, 28, 134, 23, 129, 20, 126, 15, 121, 12, 118, 6, 112, 5, 111)
	L = (1, 108)(2, 112)(3, 113)(4, 107)(5, 114)(6, 117)(7, 111)(8, 118)(9, 110)(10, 109)(11, 121)(12, 122)(13, 116)(14, 115)(15, 125)(16, 126)(17, 120)(18, 119)(19, 129)(20, 130)(21, 124)(22, 123)(23, 133)(24, 134)(25, 128)(26, 127)(27, 137)(28, 138)(29, 132)(30, 131)(31, 141)(32, 145)(33, 136)(34, 135)(35, 142)(36, 144)(37, 146)(38, 147)(39, 143)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 161)(52, 165)(53, 140)(54, 139)(55, 162)(56, 164)(57, 166)(58, 167)(59, 163)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 183)(72, 187)(73, 160)(74, 159)(75, 201)(76, 202)(77, 184)(78, 186)(79, 188)(80, 189)(81, 185)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 182)(92, 181)(93, 180)(94, 179)(95, 204)(96, 203)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 200)(106, 199)
	local type(s) :: { ( 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53, 2, 53 ) }
Outer automorphisms :: reflexible
Dual of E26.1232
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 106 f = 55
	degree seq :: [ 212 ]

E26.1237 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 53, 106})
Quotient :: loop
Aut^+ = C106 (small group id <106, 2>)
Aut   = D212 (small group id <212, 4>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-53 ]
Map:: non-degenerate
	R = (1, 107, 3, 109)(2, 108, 6, 112)(4, 110, 7, 113)(5, 111, 10, 116)(8, 114, 11, 117)(9, 115, 14, 120)(12, 118, 15, 121)(13, 119, 18, 124)(16, 122, 19, 125)(17, 123, 22, 128)(20, 126, 23, 129)(21, 127, 26, 132)(24, 130, 27, 133)(25, 131, 30, 136)(28, 134, 31, 137)(29, 135, 42, 148)(32, 138, 53, 159)(33, 139, 35, 141)(34, 140, 38, 144)(36, 142, 39, 145)(37, 143, 41, 147)(40, 146, 44, 150)(43, 149, 46, 152)(45, 151, 48, 154)(47, 153, 50, 156)(49, 155, 52, 158)(51, 157, 63, 169)(54, 160, 56, 162)(55, 161, 59, 165)(57, 163, 60, 166)(58, 164, 62, 168)(61, 167, 65, 171)(64, 170, 67, 173)(66, 172, 69, 175)(68, 174, 71, 177)(70, 176, 73, 179)(72, 178, 85, 191)(74, 180, 95, 201)(75, 181, 90, 196)(76, 182, 78, 184)(77, 183, 81, 187)(79, 185, 82, 188)(80, 186, 84, 190)(83, 189, 87, 193)(86, 192, 88, 194)(89, 195, 92, 198)(91, 197, 94, 200)(93, 199, 105, 211)(96, 202, 106, 212)(97, 203, 99, 205)(98, 204, 102, 208)(100, 206, 103, 209)(101, 207, 104, 210)
	L = (1, 108)(2, 111)(3, 112)(4, 107)(5, 115)(6, 116)(7, 109)(8, 110)(9, 119)(10, 120)(11, 113)(12, 114)(13, 123)(14, 124)(15, 117)(16, 118)(17, 127)(18, 128)(19, 121)(20, 122)(21, 131)(22, 132)(23, 125)(24, 126)(25, 135)(26, 136)(27, 129)(28, 130)(29, 142)(30, 148)(31, 133)(32, 134)(33, 140)(34, 143)(35, 144)(36, 139)(37, 146)(38, 147)(39, 141)(40, 149)(41, 150)(42, 145)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 163)(52, 169)(53, 137)(54, 161)(55, 164)(56, 165)(57, 160)(58, 167)(59, 168)(60, 162)(61, 170)(62, 171)(63, 166)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 185)(73, 191)(74, 159)(75, 195)(76, 183)(77, 186)(78, 187)(79, 182)(80, 189)(81, 190)(82, 184)(83, 192)(84, 193)(85, 188)(86, 181)(87, 194)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 206)(94, 211)(95, 138)(96, 180)(97, 204)(98, 207)(99, 208)(100, 203)(101, 202)(102, 210)(103, 205)(104, 212)(105, 209)(106, 201)
	local type(s) :: { ( 53, 106, 53, 106 ) }
Outer automorphisms :: reflexible
Dual of E26.1233
Transitivity :: ET+ VT+ AT
Graph::
	v = 53 e = 106 f = 3
	degree seq :: [ 4^53 ]

E26.1238 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 53, 106})
Quotient :: dipole
Aut^+ = C106 (small group id <106, 2>)
Aut   = D212 (small group id <212, 4>)
|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, Y2^53, (Y3 * Y2^-1)^106 ]
Map::
	R = (1, 107, 2, 108)(3, 109, 5, 111)(4, 110, 6, 112)(7, 113, 9, 115)(8, 114, 10, 116)(11, 117, 13, 119)(12, 118, 14, 120)(15, 121, 17, 123)(16, 122, 18, 124)(19, 125, 21, 127)(20, 126, 22, 128)(23, 129, 25, 131)(24, 130, 26, 132)(27, 133, 29, 135)(28, 134, 30, 136)(31, 137, 45, 151)(32, 138, 55, 161)(33, 139, 34, 140)(35, 141, 37, 143)(36, 142, 38, 144)(39, 145, 41, 147)(40, 146, 42, 148)(43, 149, 44, 150)(46, 152, 47, 153)(48, 154, 49, 155)(50, 156, 51, 157)(52, 158, 53, 159)(54, 160, 68, 174)(56, 162, 57, 163)(58, 164, 60, 166)(59, 165, 61, 167)(62, 168, 64, 170)(63, 169, 65, 171)(66, 172, 67, 173)(69, 175, 70, 176)(71, 177, 72, 178)(73, 179, 74, 180)(75, 181, 76, 182)(77, 183, 91, 197)(78, 184, 101, 207)(79, 185, 82, 188)(80, 186, 81, 187)(83, 189, 84, 190)(85, 191, 87, 193)(86, 192, 88, 194)(89, 195, 90, 196)(92, 198, 93, 199)(94, 200, 95, 201)(96, 202, 97, 203)(98, 204, 99, 205)(100, 206, 106, 212)(102, 208, 103, 209)(104, 210, 105, 211)(213, 319, 215, 321, 219, 325, 223, 329, 227, 333, 231, 337, 235, 341, 239, 345, 243, 349, 252, 358, 248, 354, 245, 351, 247, 353, 251, 357, 255, 361, 258, 364, 260, 366, 262, 368, 264, 370, 266, 372, 275, 381, 271, 377, 268, 374, 270, 376, 274, 380, 278, 384, 281, 387, 283, 389, 285, 391, 287, 393, 289, 395, 298, 404, 295, 401, 292, 398, 294, 400, 297, 403, 301, 407, 304, 410, 306, 412, 308, 414, 310, 416, 312, 418, 316, 422, 315, 421, 313, 419, 244, 350, 240, 346, 236, 342, 232, 338, 228, 334, 224, 330, 220, 326, 216, 322)(214, 320, 217, 323, 221, 327, 225, 331, 229, 335, 233, 339, 237, 343, 241, 347, 257, 363, 254, 360, 250, 356, 246, 352, 249, 355, 253, 359, 256, 362, 259, 365, 261, 367, 263, 369, 265, 371, 280, 386, 277, 383, 273, 379, 269, 375, 272, 378, 276, 382, 279, 385, 282, 388, 284, 390, 286, 392, 288, 394, 303, 409, 300, 406, 296, 402, 293, 399, 291, 397, 299, 405, 302, 408, 305, 411, 307, 413, 309, 415, 311, 417, 318, 424, 317, 423, 314, 420, 290, 396, 267, 373, 242, 348, 238, 344, 234, 340, 230, 336, 226, 332, 222, 328, 218, 324)
	L = (1, 214)(2, 213)(3, 217)(4, 218)(5, 215)(6, 216)(7, 221)(8, 222)(9, 219)(10, 220)(11, 225)(12, 226)(13, 223)(14, 224)(15, 229)(16, 230)(17, 227)(18, 228)(19, 233)(20, 234)(21, 231)(22, 232)(23, 237)(24, 238)(25, 235)(26, 236)(27, 241)(28, 242)(29, 239)(30, 240)(31, 257)(32, 267)(33, 246)(34, 245)(35, 249)(36, 250)(37, 247)(38, 248)(39, 253)(40, 254)(41, 251)(42, 252)(43, 256)(44, 255)(45, 243)(46, 259)(47, 258)(48, 261)(49, 260)(50, 263)(51, 262)(52, 265)(53, 264)(54, 280)(55, 244)(56, 269)(57, 268)(58, 272)(59, 273)(60, 270)(61, 271)(62, 276)(63, 277)(64, 274)(65, 275)(66, 279)(67, 278)(68, 266)(69, 282)(70, 281)(71, 284)(72, 283)(73, 286)(74, 285)(75, 288)(76, 287)(77, 303)(78, 313)(79, 294)(80, 293)(81, 292)(82, 291)(83, 296)(84, 295)(85, 299)(86, 300)(87, 297)(88, 298)(89, 302)(90, 301)(91, 289)(92, 305)(93, 304)(94, 307)(95, 306)(96, 309)(97, 308)(98, 311)(99, 310)(100, 318)(101, 290)(102, 315)(103, 314)(104, 317)(105, 316)(106, 312)(107, 319)(108, 320)(109, 321)(110, 322)(111, 323)(112, 324)(113, 325)(114, 326)(115, 327)(116, 328)(117, 329)(118, 330)(119, 331)(120, 332)(121, 333)(122, 334)(123, 335)(124, 336)(125, 337)(126, 338)(127, 339)(128, 340)(129, 341)(130, 342)(131, 343)(132, 344)(133, 345)(134, 346)(135, 347)(136, 348)(137, 349)(138, 350)(139, 351)(140, 352)(141, 353)(142, 354)(143, 355)(144, 356)(145, 357)(146, 358)(147, 359)(148, 360)(149, 361)(150, 362)(151, 363)(152, 364)(153, 365)(154, 366)(155, 367)(156, 368)(157, 369)(158, 370)(159, 371)(160, 372)(161, 373)(162, 374)(163, 375)(164, 376)(165, 377)(166, 378)(167, 379)(168, 380)(169, 381)(170, 382)(171, 383)(172, 384)(173, 385)(174, 386)(175, 387)(176, 388)(177, 389)(178, 390)(179, 391)(180, 392)(181, 393)(182, 394)(183, 395)(184, 396)(185, 397)(186, 398)(187, 399)(188, 400)(189, 401)(190, 402)(191, 403)(192, 404)(193, 405)(194, 406)(195, 407)(196, 408)(197, 409)(198, 410)(199, 411)(200, 412)(201, 413)(202, 414)(203, 415)(204, 416)(205, 417)(206, 418)(207, 419)(208, 420)(209, 421)(210, 422)(211, 423)(212, 424)
	local type(s) :: { ( 2, 212, 2, 212 ), ( 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212, 2, 212 ) }
Outer automorphisms :: reflexible
Dual of E26.1241
Graph:: bipartite
	v = 55 e = 212 f = 107
	degree seq :: [ 4^53, 106^2 ]

E26.1239 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 53, 106})
Quotient :: dipole
Aut^+ = C106 (small group id <106, 2>)
Aut   = D212 (small group id <212, 4>)
|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^-26 * Y2^-26, Y1^-1 * Y2^52, Y1^53 ]
Map::
	R = (1, 107, 2, 108, 6, 112, 11, 117, 15, 121, 19, 125, 23, 129, 27, 133, 31, 137, 43, 149, 38, 144, 35, 141, 36, 142, 40, 146, 45, 151, 47, 153, 49, 155, 51, 157, 53, 159, 55, 161, 67, 173, 62, 168, 59, 165, 60, 166, 64, 170, 69, 175, 71, 177, 73, 179, 75, 181, 77, 183, 79, 185, 91, 197, 87, 193, 84, 190, 85, 191, 89, 195, 93, 199, 95, 201, 97, 203, 99, 205, 101, 207, 103, 209, 106, 212, 81, 187, 58, 164, 33, 139, 30, 136, 25, 131, 22, 128, 17, 123, 14, 120, 9, 115, 4, 110)(3, 109, 7, 113, 5, 111, 8, 114, 12, 118, 16, 122, 20, 126, 24, 130, 28, 134, 32, 138, 44, 150, 37, 143, 41, 147, 39, 145, 42, 148, 46, 152, 48, 154, 50, 156, 52, 158, 54, 160, 56, 162, 68, 174, 61, 167, 65, 171, 63, 169, 66, 172, 70, 176, 72, 178, 74, 180, 76, 182, 78, 184, 80, 186, 92, 198, 86, 192, 83, 189, 88, 194, 90, 196, 94, 200, 96, 202, 98, 204, 100, 206, 102, 208, 104, 210, 105, 211, 82, 188, 57, 163, 34, 140, 29, 135, 26, 132, 21, 127, 18, 124, 13, 119, 10, 116)(213, 319, 215, 321, 221, 327, 225, 331, 229, 335, 233, 339, 237, 343, 241, 347, 245, 351, 269, 375, 293, 399, 317, 423, 315, 421, 314, 420, 311, 417, 310, 416, 307, 413, 306, 412, 301, 407, 300, 406, 296, 402, 298, 404, 303, 409, 292, 398, 289, 395, 288, 394, 285, 391, 284, 390, 281, 387, 278, 384, 272, 378, 277, 383, 274, 380, 280, 386, 267, 373, 266, 372, 263, 369, 262, 368, 259, 365, 258, 364, 252, 358, 251, 357, 247, 353, 249, 355, 255, 361, 244, 350, 239, 345, 236, 342, 231, 337, 228, 334, 223, 329, 220, 326, 214, 320, 219, 325, 216, 322, 222, 328, 226, 332, 230, 336, 234, 340, 238, 344, 242, 348, 246, 352, 270, 376, 294, 400, 318, 424, 316, 422, 313, 419, 312, 418, 309, 415, 308, 414, 305, 411, 302, 408, 297, 403, 295, 401, 299, 405, 304, 410, 291, 397, 290, 396, 287, 393, 286, 392, 283, 389, 282, 388, 276, 382, 275, 381, 271, 377, 273, 379, 279, 385, 268, 374, 265, 371, 264, 370, 261, 367, 260, 366, 257, 363, 254, 360, 248, 354, 253, 359, 250, 356, 256, 362, 243, 349, 240, 346, 235, 341, 232, 338, 227, 333, 224, 330, 218, 324, 217, 323)
	L = (1, 215)(2, 219)(3, 221)(4, 222)(5, 213)(6, 217)(7, 216)(8, 214)(9, 225)(10, 226)(11, 220)(12, 218)(13, 229)(14, 230)(15, 224)(16, 223)(17, 233)(18, 234)(19, 228)(20, 227)(21, 237)(22, 238)(23, 232)(24, 231)(25, 241)(26, 242)(27, 236)(28, 235)(29, 245)(30, 246)(31, 240)(32, 239)(33, 269)(34, 270)(35, 249)(36, 253)(37, 255)(38, 256)(39, 247)(40, 251)(41, 250)(42, 248)(43, 244)(44, 243)(45, 254)(46, 252)(47, 258)(48, 257)(49, 260)(50, 259)(51, 262)(52, 261)(53, 264)(54, 263)(55, 266)(56, 265)(57, 293)(58, 294)(59, 273)(60, 277)(61, 279)(62, 280)(63, 271)(64, 275)(65, 274)(66, 272)(67, 268)(68, 267)(69, 278)(70, 276)(71, 282)(72, 281)(73, 284)(74, 283)(75, 286)(76, 285)(77, 288)(78, 287)(79, 290)(80, 289)(81, 317)(82, 318)(83, 299)(84, 298)(85, 295)(86, 303)(87, 304)(88, 296)(89, 300)(90, 297)(91, 292)(92, 291)(93, 302)(94, 301)(95, 306)(96, 305)(97, 308)(98, 307)(99, 310)(100, 309)(101, 312)(102, 311)(103, 314)(104, 313)(105, 315)(106, 316)(107, 319)(108, 320)(109, 321)(110, 322)(111, 323)(112, 324)(113, 325)(114, 326)(115, 327)(116, 328)(117, 329)(118, 330)(119, 331)(120, 332)(121, 333)(122, 334)(123, 335)(124, 336)(125, 337)(126, 338)(127, 339)(128, 340)(129, 341)(130, 342)(131, 343)(132, 344)(133, 345)(134, 346)(135, 347)(136, 348)(137, 349)(138, 350)(139, 351)(140, 352)(141, 353)(142, 354)(143, 355)(144, 356)(145, 357)(146, 358)(147, 359)(148, 360)(149, 361)(150, 362)(151, 363)(152, 364)(153, 365)(154, 366)(155, 367)(156, 368)(157, 369)(158, 370)(159, 371)(160, 372)(161, 373)(162, 374)(163, 375)(164, 376)(165, 377)(166, 378)(167, 379)(168, 380)(169, 381)(170, 382)(171, 383)(172, 384)(173, 385)(174, 386)(175, 387)(176, 388)(177, 389)(178, 390)(179, 391)(180, 392)(181, 393)(182, 394)(183, 395)(184, 396)(185, 397)(186, 398)(187, 399)(188, 400)(189, 401)(190, 402)(191, 403)(192, 404)(193, 405)(194, 406)(195, 407)(196, 408)(197, 409)(198, 410)(199, 411)(200, 412)(201, 413)(202, 414)(203, 415)(204, 416)(205, 417)(206, 418)(207, 419)(208, 420)(209, 421)(210, 422)(211, 423)(212, 424)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1240
Graph:: bipartite
	v = 3 e = 212 f = 159
	degree seq :: [ 106^2, 212 ]

E26.1240 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 53, 106})
Quotient :: dipole
Aut^+ = C106 (small group id <106, 2>)
Aut   = D212 (small group id <212, 4>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y2 * Y3^-1 * Y2, Y3^53 * Y2, (Y3^-1 * Y1^-1)^106 ]
Map::
	R = (1, 107)(2, 108)(3, 109)(4, 110)(5, 111)(6, 112)(7, 113)(8, 114)(9, 115)(10, 116)(11, 117)(12, 118)(13, 119)(14, 120)(15, 121)(16, 122)(17, 123)(18, 124)(19, 125)(20, 126)(21, 127)(22, 128)(23, 129)(24, 130)(25, 131)(26, 132)(27, 133)(28, 134)(29, 135)(30, 136)(31, 137)(32, 138)(33, 139)(34, 140)(35, 141)(36, 142)(37, 143)(38, 144)(39, 145)(40, 146)(41, 147)(42, 148)(43, 149)(44, 150)(45, 151)(46, 152)(47, 153)(48, 154)(49, 155)(50, 156)(51, 157)(52, 158)(53, 159)(54, 160)(55, 161)(56, 162)(57, 163)(58, 164)(59, 165)(60, 166)(61, 167)(62, 168)(63, 169)(64, 170)(65, 171)(66, 172)(67, 173)(68, 174)(69, 175)(70, 176)(71, 177)(72, 178)(73, 179)(74, 180)(75, 181)(76, 182)(77, 183)(78, 184)(79, 185)(80, 186)(81, 187)(82, 188)(83, 189)(84, 190)(85, 191)(86, 192)(87, 193)(88, 194)(89, 195)(90, 196)(91, 197)(92, 198)(93, 199)(94, 200)(95, 201)(96, 202)(97, 203)(98, 204)(99, 205)(100, 206)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)(213, 319, 214, 320)(215, 321, 217, 323)(216, 322, 218, 324)(219, 325, 221, 327)(220, 326, 222, 328)(223, 329, 225, 331)(224, 330, 226, 332)(227, 333, 229, 335)(228, 334, 230, 336)(231, 337, 233, 339)(232, 338, 234, 340)(235, 341, 237, 343)(236, 342, 238, 344)(239, 345, 241, 347)(240, 346, 242, 348)(243, 349, 252, 358)(244, 350, 265, 371)(245, 351, 246, 352)(247, 353, 249, 355)(248, 354, 250, 356)(251, 357, 253, 359)(254, 360, 255, 361)(256, 362, 257, 363)(258, 364, 259, 365)(260, 366, 261, 367)(262, 368, 263, 369)(264, 370, 273, 379)(266, 372, 267, 373)(268, 374, 270, 376)(269, 375, 271, 377)(272, 378, 274, 380)(275, 381, 276, 382)(277, 383, 278, 384)(279, 385, 280, 386)(281, 387, 282, 388)(283, 389, 284, 390)(285, 391, 295, 401)(286, 392, 307, 413)(287, 393, 301, 407)(288, 394, 289, 395)(290, 396, 292, 398)(291, 397, 293, 399)(294, 400, 296, 402)(297, 403, 298, 404)(299, 405, 300, 406)(302, 408, 303, 409)(304, 410, 305, 411)(306, 412, 316, 422)(308, 414, 318, 424)(309, 415, 310, 416)(311, 417, 313, 419)(312, 418, 314, 420)(315, 421, 317, 423)
	L = (1, 215)(2, 217)(3, 219)(4, 213)(5, 221)(6, 214)(7, 223)(8, 216)(9, 225)(10, 218)(11, 227)(12, 220)(13, 229)(14, 222)(15, 231)(16, 224)(17, 233)(18, 226)(19, 235)(20, 228)(21, 237)(22, 230)(23, 239)(24, 232)(25, 241)(26, 234)(27, 243)(28, 236)(29, 252)(30, 238)(31, 250)(32, 240)(33, 247)(34, 249)(35, 251)(36, 245)(37, 253)(38, 246)(39, 254)(40, 248)(41, 255)(42, 256)(43, 257)(44, 258)(45, 259)(46, 260)(47, 261)(48, 262)(49, 263)(50, 264)(51, 273)(52, 271)(53, 242)(54, 268)(55, 270)(56, 272)(57, 266)(58, 274)(59, 267)(60, 275)(61, 269)(62, 276)(63, 277)(64, 278)(65, 279)(66, 280)(67, 281)(68, 282)(69, 283)(70, 284)(71, 285)(72, 295)(73, 293)(74, 265)(75, 302)(76, 290)(77, 292)(78, 294)(79, 288)(80, 296)(81, 289)(82, 297)(83, 291)(84, 298)(85, 299)(86, 300)(87, 287)(88, 301)(89, 303)(90, 304)(91, 305)(92, 306)(93, 316)(94, 314)(95, 244)(96, 286)(97, 311)(98, 313)(99, 315)(100, 309)(101, 317)(102, 310)(103, 308)(104, 312)(105, 318)(106, 307)(107, 319)(108, 320)(109, 321)(110, 322)(111, 323)(112, 324)(113, 325)(114, 326)(115, 327)(116, 328)(117, 329)(118, 330)(119, 331)(120, 332)(121, 333)(122, 334)(123, 335)(124, 336)(125, 337)(126, 338)(127, 339)(128, 340)(129, 341)(130, 342)(131, 343)(132, 344)(133, 345)(134, 346)(135, 347)(136, 348)(137, 349)(138, 350)(139, 351)(140, 352)(141, 353)(142, 354)(143, 355)(144, 356)(145, 357)(146, 358)(147, 359)(148, 360)(149, 361)(150, 362)(151, 363)(152, 364)(153, 365)(154, 366)(155, 367)(156, 368)(157, 369)(158, 370)(159, 371)(160, 372)(161, 373)(162, 374)(163, 375)(164, 376)(165, 377)(166, 378)(167, 379)(168, 380)(169, 381)(170, 382)(171, 383)(172, 384)(173, 385)(174, 386)(175, 387)(176, 388)(177, 389)(178, 390)(179, 391)(180, 392)(181, 393)(182, 394)(183, 395)(184, 396)(185, 397)(186, 398)(187, 399)(188, 400)(189, 401)(190, 402)(191, 403)(192, 404)(193, 405)(194, 406)(195, 407)(196, 408)(197, 409)(198, 410)(199, 411)(200, 412)(201, 413)(202, 414)(203, 415)(204, 416)(205, 417)(206, 418)(207, 419)(208, 420)(209, 421)(210, 422)(211, 423)(212, 424)
	local type(s) :: { ( 106, 212 ), ( 106, 212, 106, 212 ) }
Outer automorphisms :: reflexible
Dual of E26.1239
Graph:: simple bipartite
	v = 159 e = 212 f = 3
	degree seq :: [ 2^106, 4^53 ]

E26.1241 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 53, 106})
Quotient :: dipole
Aut^+ = C106 (small group id <106, 2>)
Aut   = D212 (small group id <212, 4>)
|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^-53 ]
Map::
	R = (1, 107, 2, 108, 5, 111, 9, 115, 13, 119, 17, 123, 21, 127, 25, 131, 29, 135, 36, 142, 38, 144, 40, 146, 42, 148, 44, 150, 46, 152, 48, 154, 50, 156, 51, 157, 52, 158, 54, 160, 56, 162, 58, 164, 60, 166, 62, 168, 64, 170, 71, 177, 73, 179, 75, 181, 77, 183, 79, 185, 81, 187, 83, 189, 89, 195, 90, 196, 91, 197, 93, 199, 95, 201, 88, 194, 97, 203, 98, 204, 99, 205, 106, 212, 102, 208, 85, 191, 66, 172, 49, 155, 31, 137, 27, 133, 23, 129, 19, 125, 15, 121, 11, 117, 7, 113, 3, 109, 6, 112, 10, 116, 14, 120, 18, 124, 22, 128, 26, 132, 30, 136, 33, 139, 34, 140, 35, 141, 37, 143, 39, 145, 41, 147, 43, 149, 45, 151, 47, 153, 53, 159, 55, 161, 57, 163, 59, 165, 61, 167, 63, 169, 65, 171, 68, 174, 69, 175, 70, 176, 72, 178, 74, 180, 76, 182, 78, 184, 80, 186, 82, 188, 92, 198, 94, 200, 96, 202, 86, 192, 67, 173, 87, 193, 100, 206, 103, 209, 104, 210, 105, 211, 101, 207, 84, 190, 32, 138, 28, 134, 24, 130, 20, 126, 16, 122, 12, 118, 8, 114, 4, 110)(213, 319)(214, 320)(215, 321)(216, 322)(217, 323)(218, 324)(219, 325)(220, 326)(221, 327)(222, 328)(223, 329)(224, 330)(225, 331)(226, 332)(227, 333)(228, 334)(229, 335)(230, 336)(231, 337)(232, 338)(233, 339)(234, 340)(235, 341)(236, 342)(237, 343)(238, 344)(239, 345)(240, 346)(241, 347)(242, 348)(243, 349)(244, 350)(245, 351)(246, 352)(247, 353)(248, 354)(249, 355)(250, 356)(251, 357)(252, 358)(253, 359)(254, 360)(255, 361)(256, 362)(257, 363)(258, 364)(259, 365)(260, 366)(261, 367)(262, 368)(263, 369)(264, 370)(265, 371)(266, 372)(267, 373)(268, 374)(269, 375)(270, 376)(271, 377)(272, 378)(273, 379)(274, 380)(275, 381)(276, 382)(277, 383)(278, 384)(279, 385)(280, 386)(281, 387)(282, 388)(283, 389)(284, 390)(285, 391)(286, 392)(287, 393)(288, 394)(289, 395)(290, 396)(291, 397)(292, 398)(293, 399)(294, 400)(295, 401)(296, 402)(297, 403)(298, 404)(299, 405)(300, 406)(301, 407)(302, 408)(303, 409)(304, 410)(305, 411)(306, 412)(307, 413)(308, 414)(309, 415)(310, 416)(311, 417)(312, 418)(313, 419)(314, 420)(315, 421)(316, 422)(317, 423)(318, 424)
	L = (1, 215)(2, 218)(3, 213)(4, 219)(5, 222)(6, 214)(7, 216)(8, 223)(9, 226)(10, 217)(11, 220)(12, 227)(13, 230)(14, 221)(15, 224)(16, 231)(17, 234)(18, 225)(19, 228)(20, 235)(21, 238)(22, 229)(23, 232)(24, 239)(25, 242)(26, 233)(27, 236)(28, 243)(29, 245)(30, 237)(31, 240)(32, 261)(33, 241)(34, 248)(35, 250)(36, 246)(37, 252)(38, 247)(39, 254)(40, 249)(41, 256)(42, 251)(43, 258)(44, 253)(45, 260)(46, 255)(47, 262)(48, 257)(49, 244)(50, 259)(51, 265)(52, 267)(53, 263)(54, 269)(55, 264)(56, 271)(57, 266)(58, 273)(59, 268)(60, 275)(61, 270)(62, 277)(63, 272)(64, 280)(65, 274)(66, 296)(67, 300)(68, 276)(69, 283)(70, 285)(71, 281)(72, 287)(73, 282)(74, 289)(75, 284)(76, 291)(77, 286)(78, 293)(79, 288)(80, 295)(81, 290)(82, 301)(83, 292)(84, 278)(85, 313)(86, 307)(87, 309)(88, 279)(89, 294)(90, 304)(91, 306)(92, 302)(93, 308)(94, 303)(95, 298)(96, 305)(97, 299)(98, 312)(99, 315)(100, 310)(101, 297)(102, 317)(103, 311)(104, 318)(105, 314)(106, 316)(107, 319)(108, 320)(109, 321)(110, 322)(111, 323)(112, 324)(113, 325)(114, 326)(115, 327)(116, 328)(117, 329)(118, 330)(119, 331)(120, 332)(121, 333)(122, 334)(123, 335)(124, 336)(125, 337)(126, 338)(127, 339)(128, 340)(129, 341)(130, 342)(131, 343)(132, 344)(133, 345)(134, 346)(135, 347)(136, 348)(137, 349)(138, 350)(139, 351)(140, 352)(141, 353)(142, 354)(143, 355)(144, 356)(145, 357)(146, 358)(147, 359)(148, 360)(149, 361)(150, 362)(151, 363)(152, 364)(153, 365)(154, 366)(155, 367)(156, 368)(157, 369)(158, 370)(159, 371)(160, 372)(161, 373)(162, 374)(163, 375)(164, 376)(165, 377)(166, 378)(167, 379)(168, 380)(169, 381)(170, 382)(171, 383)(172, 384)(173, 385)(174, 386)(175, 387)(176, 388)(177, 389)(178, 390)(179, 391)(180, 392)(181, 393)(182, 394)(183, 395)(184, 396)(185, 397)(186, 398)(187, 399)(188, 400)(189, 401)(190, 402)(191, 403)(192, 404)(193, 405)(194, 406)(195, 407)(196, 408)(197, 409)(198, 410)(199, 411)(200, 412)(201, 413)(202, 414)(203, 415)(204, 416)(205, 417)(206, 418)(207, 419)(208, 420)(209, 421)(210, 422)(211, 423)(212, 424)
	local type(s) :: { ( 4, 106 ), ( 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106, 4, 106 ) }
Outer automorphisms :: reflexible
Dual of E26.1238
Graph:: bipartite
	v = 107 e = 212 f = 55
	degree seq :: [ 2^106, 212 ]

E26.1242 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 53, 106})
Quotient :: dipole
Aut^+ = C106 (small group id <106, 2>)
Aut   = D212 (small group id <212, 4>)
|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, Y2^53 * Y1, (Y3 * Y2^-1)^53 ]
Map::
	R = (1, 107, 2, 108)(3, 109, 5, 111)(4, 110, 6, 112)(7, 113, 9, 115)(8, 114, 10, 116)(11, 117, 13, 119)(12, 118, 14, 120)(15, 121, 17, 123)(16, 122, 18, 124)(19, 125, 21, 127)(20, 126, 22, 128)(23, 129, 25, 131)(24, 130, 26, 132)(27, 133, 29, 135)(28, 134, 30, 136)(31, 137, 40, 146)(32, 138, 53, 159)(33, 139, 34, 140)(35, 141, 37, 143)(36, 142, 38, 144)(39, 145, 41, 147)(42, 148, 43, 149)(44, 150, 45, 151)(46, 152, 47, 153)(48, 154, 49, 155)(50, 156, 51, 157)(52, 158, 61, 167)(54, 160, 55, 161)(56, 162, 58, 164)(57, 163, 59, 165)(60, 166, 62, 168)(63, 169, 64, 170)(65, 171, 66, 172)(67, 173, 68, 174)(69, 175, 70, 176)(71, 177, 72, 178)(73, 179, 83, 189)(74, 180, 95, 201)(75, 181, 89, 195)(76, 182, 77, 183)(78, 184, 80, 186)(79, 185, 81, 187)(82, 188, 84, 190)(85, 191, 86, 192)(87, 193, 88, 194)(90, 196, 91, 197)(92, 198, 93, 199)(94, 200, 104, 210)(96, 202, 106, 212)(97, 203, 98, 204)(99, 205, 101, 207)(100, 206, 102, 208)(103, 209, 105, 211)(213, 319, 215, 321, 219, 325, 223, 329, 227, 333, 231, 337, 235, 341, 239, 345, 243, 349, 250, 356, 246, 352, 249, 355, 253, 359, 255, 361, 257, 363, 259, 365, 261, 367, 263, 369, 273, 379, 269, 375, 266, 372, 268, 374, 272, 378, 275, 381, 277, 383, 279, 385, 281, 387, 283, 389, 285, 391, 293, 399, 289, 395, 292, 398, 296, 402, 298, 404, 300, 406, 301, 407, 303, 409, 305, 411, 316, 422, 312, 418, 309, 415, 311, 417, 315, 421, 308, 414, 286, 392, 265, 371, 242, 348, 238, 344, 234, 340, 230, 336, 226, 332, 222, 328, 218, 324, 214, 320, 217, 323, 221, 327, 225, 331, 229, 335, 233, 339, 237, 343, 241, 347, 252, 358, 248, 354, 245, 351, 247, 353, 251, 357, 254, 360, 256, 362, 258, 364, 260, 366, 262, 368, 264, 370, 271, 377, 267, 373, 270, 376, 274, 380, 276, 382, 278, 384, 280, 386, 282, 388, 284, 390, 295, 401, 291, 397, 288, 394, 290, 396, 294, 400, 297, 403, 299, 405, 287, 393, 302, 408, 304, 410, 306, 412, 314, 420, 310, 416, 313, 419, 317, 423, 318, 424, 307, 413, 244, 350, 240, 346, 236, 342, 232, 338, 228, 334, 224, 330, 220, 326, 216, 322)
	L = (1, 214)(2, 213)(3, 217)(4, 218)(5, 215)(6, 216)(7, 221)(8, 222)(9, 219)(10, 220)(11, 225)(12, 226)(13, 223)(14, 224)(15, 229)(16, 230)(17, 227)(18, 228)(19, 233)(20, 234)(21, 231)(22, 232)(23, 237)(24, 238)(25, 235)(26, 236)(27, 241)(28, 242)(29, 239)(30, 240)(31, 252)(32, 265)(33, 246)(34, 245)(35, 249)(36, 250)(37, 247)(38, 248)(39, 253)(40, 243)(41, 251)(42, 255)(43, 254)(44, 257)(45, 256)(46, 259)(47, 258)(48, 261)(49, 260)(50, 263)(51, 262)(52, 273)(53, 244)(54, 267)(55, 266)(56, 270)(57, 271)(58, 268)(59, 269)(60, 274)(61, 264)(62, 272)(63, 276)(64, 275)(65, 278)(66, 277)(67, 280)(68, 279)(69, 282)(70, 281)(71, 284)(72, 283)(73, 295)(74, 307)(75, 301)(76, 289)(77, 288)(78, 292)(79, 293)(80, 290)(81, 291)(82, 296)(83, 285)(84, 294)(85, 298)(86, 297)(87, 300)(88, 299)(89, 287)(90, 303)(91, 302)(92, 305)(93, 304)(94, 316)(95, 286)(96, 318)(97, 310)(98, 309)(99, 313)(100, 314)(101, 311)(102, 312)(103, 317)(104, 306)(105, 315)(106, 308)(107, 319)(108, 320)(109, 321)(110, 322)(111, 323)(112, 324)(113, 325)(114, 326)(115, 327)(116, 328)(117, 329)(118, 330)(119, 331)(120, 332)(121, 333)(122, 334)(123, 335)(124, 336)(125, 337)(126, 338)(127, 339)(128, 340)(129, 341)(130, 342)(131, 343)(132, 344)(133, 345)(134, 346)(135, 347)(136, 348)(137, 349)(138, 350)(139, 351)(140, 352)(141, 353)(142, 354)(143, 355)(144, 356)(145, 357)(146, 358)(147, 359)(148, 360)(149, 361)(150, 362)(151, 363)(152, 364)(153, 365)(154, 366)(155, 367)(156, 368)(157, 369)(158, 370)(159, 371)(160, 372)(161, 373)(162, 374)(163, 375)(164, 376)(165, 377)(166, 378)(167, 379)(168, 380)(169, 381)(170, 382)(171, 383)(172, 384)(173, 385)(174, 386)(175, 387)(176, 388)(177, 389)(178, 390)(179, 391)(180, 392)(181, 393)(182, 394)(183, 395)(184, 396)(185, 397)(186, 398)(187, 399)(188, 400)(189, 401)(190, 402)(191, 403)(192, 404)(193, 405)(194, 406)(195, 407)(196, 408)(197, 409)(198, 410)(199, 411)(200, 412)(201, 413)(202, 414)(203, 415)(204, 416)(205, 417)(206, 418)(207, 419)(208, 420)(209, 421)(210, 422)(211, 423)(212, 424)
	local type(s) :: { ( 2, 106, 2, 106 ), ( 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106, 2, 106 ) }
Outer automorphisms :: reflexible
Dual of E26.1243
Graph:: bipartite
	v = 54 e = 212 f = 108
	degree seq :: [ 4^53, 212 ]

E26.1243 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 53, 106})
Quotient :: dipole
Aut^+ = C106 (small group id <106, 2>)
Aut   = D212 (small group id <212, 4>)
|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 * Y1^24 * Y3^-1 * Y1 * Y3^-25, Y3^-2 * Y1^51, (Y3 * Y2^-1)^106 ]
Map::
	R = (1, 107, 2, 108, 6, 112, 11, 117, 15, 121, 19, 125, 23, 129, 27, 133, 31, 137, 35, 141, 36, 142, 38, 144, 41, 147, 43, 149, 45, 151, 47, 153, 49, 155, 51, 157, 55, 161, 56, 162, 58, 164, 61, 167, 63, 169, 65, 171, 67, 173, 69, 175, 71, 177, 77, 183, 78, 184, 80, 186, 83, 189, 85, 191, 87, 193, 89, 195, 91, 197, 76, 182, 96, 202, 97, 203, 99, 205, 101, 207, 103, 209, 105, 211, 94, 200, 73, 179, 54, 160, 33, 139, 30, 136, 25, 131, 22, 128, 17, 123, 14, 120, 9, 115, 4, 110)(3, 109, 7, 113, 5, 111, 8, 114, 12, 118, 16, 122, 20, 126, 24, 130, 28, 134, 32, 138, 39, 145, 37, 143, 40, 146, 42, 148, 44, 150, 46, 152, 48, 154, 50, 156, 52, 158, 59, 165, 57, 163, 60, 166, 62, 168, 64, 170, 66, 172, 68, 174, 70, 176, 72, 178, 81, 187, 79, 185, 82, 188, 84, 190, 86, 192, 88, 194, 90, 196, 92, 198, 75, 181, 95, 201, 98, 204, 100, 206, 102, 208, 104, 210, 106, 212, 93, 199, 74, 180, 53, 159, 34, 140, 29, 135, 26, 132, 21, 127, 18, 124, 13, 119, 10, 116)(213, 319)(214, 320)(215, 321)(216, 322)(217, 323)(218, 324)(219, 325)(220, 326)(221, 327)(222, 328)(223, 329)(224, 330)(225, 331)(226, 332)(227, 333)(228, 334)(229, 335)(230, 336)(231, 337)(232, 338)(233, 339)(234, 340)(235, 341)(236, 342)(237, 343)(238, 344)(239, 345)(240, 346)(241, 347)(242, 348)(243, 349)(244, 350)(245, 351)(246, 352)(247, 353)(248, 354)(249, 355)(250, 356)(251, 357)(252, 358)(253, 359)(254, 360)(255, 361)(256, 362)(257, 363)(258, 364)(259, 365)(260, 366)(261, 367)(262, 368)(263, 369)(264, 370)(265, 371)(266, 372)(267, 373)(268, 374)(269, 375)(270, 376)(271, 377)(272, 378)(273, 379)(274, 380)(275, 381)(276, 382)(277, 383)(278, 384)(279, 385)(280, 386)(281, 387)(282, 388)(283, 389)(284, 390)(285, 391)(286, 392)(287, 393)(288, 394)(289, 395)(290, 396)(291, 397)(292, 398)(293, 399)(294, 400)(295, 401)(296, 402)(297, 403)(298, 404)(299, 405)(300, 406)(301, 407)(302, 408)(303, 409)(304, 410)(305, 411)(306, 412)(307, 413)(308, 414)(309, 415)(310, 416)(311, 417)(312, 418)(313, 419)(314, 420)(315, 421)(316, 422)(317, 423)(318, 424)
	L = (1, 215)(2, 219)(3, 221)(4, 222)(5, 213)(6, 217)(7, 216)(8, 214)(9, 225)(10, 226)(11, 220)(12, 218)(13, 229)(14, 230)(15, 224)(16, 223)(17, 233)(18, 234)(19, 228)(20, 227)(21, 237)(22, 238)(23, 232)(24, 231)(25, 241)(26, 242)(27, 236)(28, 235)(29, 245)(30, 246)(31, 240)(32, 239)(33, 265)(34, 266)(35, 244)(36, 251)(37, 247)(38, 249)(39, 243)(40, 248)(41, 252)(42, 250)(43, 254)(44, 253)(45, 256)(46, 255)(47, 258)(48, 257)(49, 260)(50, 259)(51, 262)(52, 261)(53, 285)(54, 286)(55, 264)(56, 271)(57, 267)(58, 269)(59, 263)(60, 268)(61, 272)(62, 270)(63, 274)(64, 273)(65, 276)(66, 275)(67, 278)(68, 277)(69, 280)(70, 279)(71, 282)(72, 281)(73, 305)(74, 306)(75, 303)(76, 304)(77, 284)(78, 293)(79, 289)(80, 291)(81, 283)(82, 290)(83, 294)(84, 292)(85, 296)(86, 295)(87, 298)(88, 297)(89, 300)(90, 299)(91, 302)(92, 301)(93, 317)(94, 318)(95, 288)(96, 287)(97, 307)(98, 308)(99, 310)(100, 309)(101, 312)(102, 311)(103, 314)(104, 313)(105, 316)(106, 315)(107, 319)(108, 320)(109, 321)(110, 322)(111, 323)(112, 324)(113, 325)(114, 326)(115, 327)(116, 328)(117, 329)(118, 330)(119, 331)(120, 332)(121, 333)(122, 334)(123, 335)(124, 336)(125, 337)(126, 338)(127, 339)(128, 340)(129, 341)(130, 342)(131, 343)(132, 344)(133, 345)(134, 346)(135, 347)(136, 348)(137, 349)(138, 350)(139, 351)(140, 352)(141, 353)(142, 354)(143, 355)(144, 356)(145, 357)(146, 358)(147, 359)(148, 360)(149, 361)(150, 362)(151, 363)(152, 364)(153, 365)(154, 366)(155, 367)(156, 368)(157, 369)(158, 370)(159, 371)(160, 372)(161, 373)(162, 374)(163, 375)(164, 376)(165, 377)(166, 378)(167, 379)(168, 380)(169, 381)(170, 382)(171, 383)(172, 384)(173, 385)(174, 386)(175, 387)(176, 388)(177, 389)(178, 390)(179, 391)(180, 392)(181, 393)(182, 394)(183, 395)(184, 396)(185, 397)(186, 398)(187, 399)(188, 400)(189, 401)(190, 402)(191, 403)(192, 404)(193, 405)(194, 406)(195, 407)(196, 408)(197, 409)(198, 410)(199, 411)(200, 412)(201, 413)(202, 414)(203, 415)(204, 416)(205, 417)(206, 418)(207, 419)(208, 420)(209, 421)(210, 422)(211, 423)(212, 424)
	local type(s) :: { ( 4, 212 ), ( 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212, 4, 212 ) }
Outer automorphisms :: reflexible
Dual of E26.1242
Graph:: simple bipartite
	v = 108 e = 212 f = 54
	degree seq :: [ 2^106, 106^2 ]

E26.1244 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 27})
Quotient :: dipole
Aut^+ = D108 (small group id <108, 4>)
Aut   = C2 x C2 x D54 (small group id <216, 23>)
|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)^27 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 5, 113)(4, 112, 8, 116)(6, 114, 10, 118)(7, 115, 11, 119)(9, 117, 13, 121)(12, 120, 16, 124)(14, 122, 18, 126)(15, 123, 19, 127)(17, 125, 21, 129)(20, 128, 24, 132)(22, 130, 26, 134)(23, 131, 27, 135)(25, 133, 29, 137)(28, 136, 32, 140)(30, 138, 50, 158)(31, 139, 51, 159)(33, 141, 53, 161)(34, 142, 54, 162)(35, 143, 55, 163)(36, 144, 56, 164)(37, 145, 57, 165)(38, 146, 58, 166)(39, 147, 59, 167)(40, 148, 60, 168)(41, 149, 61, 169)(42, 150, 62, 170)(43, 151, 63, 171)(44, 152, 64, 172)(45, 153, 65, 173)(46, 154, 66, 174)(47, 155, 67, 175)(48, 156, 68, 176)(49, 157, 69, 177)(52, 160, 72, 180)(70, 178, 90, 198)(71, 179, 91, 199)(73, 181, 93, 201)(74, 182, 94, 202)(75, 183, 95, 203)(76, 184, 96, 204)(77, 185, 97, 205)(78, 186, 98, 206)(79, 187, 99, 207)(80, 188, 100, 208)(81, 189, 101, 209)(82, 190, 102, 210)(83, 191, 103, 211)(84, 192, 104, 212)(85, 193, 105, 213)(86, 194, 106, 214)(87, 195, 92, 200)(88, 196, 107, 215)(89, 197, 108, 216)(217, 325, 219, 327)(218, 326, 221, 329)(220, 328, 223, 331)(222, 330, 225, 333)(224, 332, 227, 335)(226, 334, 229, 337)(228, 336, 231, 339)(230, 338, 233, 341)(232, 340, 235, 343)(234, 342, 237, 345)(236, 344, 239, 347)(238, 346, 241, 349)(240, 348, 243, 351)(242, 350, 245, 353)(244, 352, 247, 355)(246, 354, 253, 361)(248, 356, 267, 375)(249, 357, 251, 359)(250, 358, 252, 360)(254, 362, 256, 364)(255, 363, 257, 365)(258, 366, 260, 368)(259, 367, 261, 369)(262, 370, 264, 372)(263, 371, 265, 373)(266, 374, 273, 381)(268, 376, 287, 395)(269, 377, 271, 379)(270, 378, 272, 380)(274, 382, 276, 384)(275, 383, 277, 385)(278, 386, 280, 388)(279, 387, 281, 389)(282, 390, 284, 392)(283, 391, 285, 393)(286, 394, 293, 401)(288, 396, 307, 415)(289, 397, 291, 399)(290, 398, 292, 400)(294, 402, 296, 404)(295, 403, 297, 405)(298, 406, 300, 408)(299, 407, 301, 409)(302, 410, 304, 412)(303, 411, 305, 413)(306, 414, 313, 421)(308, 416, 324, 432)(309, 417, 311, 419)(310, 418, 312, 420)(314, 422, 316, 424)(315, 423, 317, 425)(318, 426, 320, 428)(319, 427, 321, 429)(322, 430, 323, 431)
	L = (1, 220)(2, 222)(3, 223)(4, 217)(5, 225)(6, 218)(7, 219)(8, 228)(9, 221)(10, 230)(11, 231)(12, 224)(13, 233)(14, 226)(15, 227)(16, 236)(17, 229)(18, 238)(19, 239)(20, 232)(21, 241)(22, 234)(23, 235)(24, 244)(25, 237)(26, 246)(27, 247)(28, 240)(29, 253)(30, 242)(31, 243)(32, 249)(33, 248)(34, 266)(35, 267)(36, 273)(37, 245)(38, 269)(39, 270)(40, 271)(41, 272)(42, 274)(43, 275)(44, 276)(45, 277)(46, 278)(47, 279)(48, 280)(49, 281)(50, 250)(51, 251)(52, 282)(53, 254)(54, 255)(55, 256)(56, 257)(57, 252)(58, 258)(59, 259)(60, 260)(61, 261)(62, 262)(63, 263)(64, 264)(65, 265)(66, 268)(67, 286)(68, 287)(69, 293)(70, 283)(71, 284)(72, 289)(73, 288)(74, 306)(75, 307)(76, 313)(77, 285)(78, 309)(79, 310)(80, 311)(81, 312)(82, 314)(83, 315)(84, 316)(85, 317)(86, 318)(87, 319)(88, 320)(89, 321)(90, 290)(91, 291)(92, 322)(93, 294)(94, 295)(95, 296)(96, 297)(97, 292)(98, 298)(99, 299)(100, 300)(101, 301)(102, 302)(103, 303)(104, 304)(105, 305)(106, 308)(107, 324)(108, 323)(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, 54, 4, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.1245
Graph:: simple bipartite
	v = 108 e = 216 f = 58
	degree seq :: [ 4^108 ]

E26.1245 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 27})
Quotient :: dipole
Aut^+ = D108 (small group id <108, 4>)
Aut   = C2 x C2 x D54 (small group id <216, 23>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y1^-1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y2)^2, (Y3 * Y2)^2, Y1^27 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 6, 114, 13, 121, 21, 129, 29, 137, 37, 145, 45, 153, 53, 161, 61, 169, 69, 177, 77, 185, 85, 193, 93, 201, 100, 208, 92, 200, 84, 192, 76, 184, 68, 176, 60, 168, 52, 160, 44, 152, 36, 144, 28, 136, 20, 128, 12, 120, 5, 113)(3, 111, 9, 117, 17, 125, 25, 133, 33, 141, 41, 149, 49, 157, 57, 165, 65, 173, 73, 181, 81, 189, 89, 197, 97, 205, 104, 212, 101, 209, 94, 202, 86, 194, 78, 186, 70, 178, 62, 170, 54, 162, 46, 154, 38, 146, 30, 138, 22, 130, 14, 122, 7, 115)(4, 112, 11, 119, 19, 127, 27, 135, 35, 143, 43, 151, 51, 159, 59, 167, 67, 175, 75, 183, 83, 191, 91, 199, 99, 207, 106, 214, 102, 210, 95, 203, 87, 195, 79, 187, 71, 179, 63, 171, 55, 163, 47, 155, 39, 147, 31, 139, 23, 131, 15, 123, 8, 116)(10, 118, 16, 124, 24, 132, 32, 140, 40, 148, 48, 156, 56, 164, 64, 172, 72, 180, 80, 188, 88, 196, 96, 204, 103, 211, 107, 215, 108, 216, 105, 213, 98, 206, 90, 198, 82, 190, 74, 182, 66, 174, 58, 166, 50, 158, 42, 150, 34, 142, 26, 134, 18, 126)(217, 325, 219, 327)(218, 326, 223, 331)(220, 328, 226, 334)(221, 329, 225, 333)(222, 330, 230, 338)(224, 332, 232, 340)(227, 335, 234, 342)(228, 336, 233, 341)(229, 337, 238, 346)(231, 339, 240, 348)(235, 343, 242, 350)(236, 344, 241, 349)(237, 345, 246, 354)(239, 347, 248, 356)(243, 351, 250, 358)(244, 352, 249, 357)(245, 353, 254, 362)(247, 355, 256, 364)(251, 359, 258, 366)(252, 360, 257, 365)(253, 361, 262, 370)(255, 363, 264, 372)(259, 367, 266, 374)(260, 368, 265, 373)(261, 369, 270, 378)(263, 371, 272, 380)(267, 375, 274, 382)(268, 376, 273, 381)(269, 377, 278, 386)(271, 379, 280, 388)(275, 383, 282, 390)(276, 384, 281, 389)(277, 385, 286, 394)(279, 387, 288, 396)(283, 391, 290, 398)(284, 392, 289, 397)(285, 393, 294, 402)(287, 395, 296, 404)(291, 399, 298, 406)(292, 400, 297, 405)(293, 401, 302, 410)(295, 403, 304, 412)(299, 407, 306, 414)(300, 408, 305, 413)(301, 409, 310, 418)(303, 411, 312, 420)(307, 415, 314, 422)(308, 416, 313, 421)(309, 417, 317, 425)(311, 419, 319, 427)(315, 423, 321, 429)(316, 424, 320, 428)(318, 426, 323, 431)(322, 430, 324, 432)
	L = (1, 220)(2, 224)(3, 226)(4, 217)(5, 227)(6, 231)(7, 232)(8, 218)(9, 234)(10, 219)(11, 221)(12, 235)(13, 239)(14, 240)(15, 222)(16, 223)(17, 242)(18, 225)(19, 228)(20, 243)(21, 247)(22, 248)(23, 229)(24, 230)(25, 250)(26, 233)(27, 236)(28, 251)(29, 255)(30, 256)(31, 237)(32, 238)(33, 258)(34, 241)(35, 244)(36, 259)(37, 263)(38, 264)(39, 245)(40, 246)(41, 266)(42, 249)(43, 252)(44, 267)(45, 271)(46, 272)(47, 253)(48, 254)(49, 274)(50, 257)(51, 260)(52, 275)(53, 279)(54, 280)(55, 261)(56, 262)(57, 282)(58, 265)(59, 268)(60, 283)(61, 287)(62, 288)(63, 269)(64, 270)(65, 290)(66, 273)(67, 276)(68, 291)(69, 295)(70, 296)(71, 277)(72, 278)(73, 298)(74, 281)(75, 284)(76, 299)(77, 303)(78, 304)(79, 285)(80, 286)(81, 306)(82, 289)(83, 292)(84, 307)(85, 311)(86, 312)(87, 293)(88, 294)(89, 314)(90, 297)(91, 300)(92, 315)(93, 318)(94, 319)(95, 301)(96, 302)(97, 321)(98, 305)(99, 308)(100, 322)(101, 323)(102, 309)(103, 310)(104, 324)(105, 313)(106, 316)(107, 317)(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) :: { ( 4^4 ), ( 4^54 ) }
Outer automorphisms :: reflexible
Dual of E26.1244
Graph:: simple bipartite
	v = 58 e = 216 f = 108
	degree seq :: [ 4^54, 54^4 ]

E26.1246 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 27})
Quotient :: edge
Aut^+ = C27 : C4 (small group id <108, 1>)
Aut   = (C54 x C2) : C2 (small group id <216, 8>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^-1 * T2^-1 * T1 * T2^-1, T1^4, T2^27 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 49, 57, 65, 73, 81, 89, 97, 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, 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, 106, 105, 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, 107, 108, 102, 94, 86, 78, 70, 62, 54, 46, 38, 30, 22, 14)(109, 110, 114, 112)(111, 116, 121, 118)(113, 115, 122, 119)(117, 124, 129, 126)(120, 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, 215, 213)(208, 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) :: { ( 8^4 ), ( 8^27 ) }
Outer automorphisms :: reflexible
Dual of E26.1247
Transitivity :: ET+
Graph:: simple bipartite
	v = 31 e = 108 f = 27
	degree seq :: [ 4^27, 27^4 ]

E26.1247 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 27})
Quotient :: loop
Aut^+ = C27 : C4 (small group id <108, 1>)
Aut   = (C54 x C2) : C2 (small group id <216, 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)^27 ]
Map:: non-degenerate
	R = (1, 109, 3, 111, 6, 114, 5, 113)(2, 110, 7, 115, 4, 112, 8, 116)(9, 117, 13, 121, 10, 118, 14, 122)(11, 119, 15, 123, 12, 120, 16, 124)(17, 125, 21, 129, 18, 126, 22, 130)(19, 127, 23, 131, 20, 128, 24, 132)(25, 133, 29, 137, 26, 134, 30, 138)(27, 135, 31, 139, 28, 136, 32, 140)(33, 141, 36, 144, 34, 142, 38, 146)(35, 143, 53, 161, 40, 148, 55, 163)(37, 145, 60, 168, 39, 147, 62, 170)(41, 149, 59, 167, 42, 150, 57, 165)(43, 151, 65, 173, 44, 152, 63, 171)(45, 153, 71, 179, 46, 154, 69, 177)(47, 155, 75, 183, 48, 156, 73, 181)(49, 157, 79, 187, 50, 158, 77, 185)(51, 159, 83, 191, 52, 160, 81, 189)(54, 162, 87, 195, 56, 164, 85, 193)(58, 166, 93, 201, 68, 176, 95, 203)(61, 169, 91, 199, 66, 174, 89, 197)(64, 172, 100, 208, 67, 175, 102, 210)(70, 178, 99, 207, 72, 180, 97, 205)(74, 182, 105, 213, 76, 184, 103, 211)(78, 186, 107, 215, 80, 188, 104, 212)(82, 190, 98, 206, 84, 192, 108, 216)(86, 194, 101, 209, 88, 196, 106, 214)(90, 198, 96, 204, 92, 200, 94, 202)
	L = (1, 110)(2, 114)(3, 117)(4, 109)(5, 118)(6, 112)(7, 119)(8, 120)(9, 113)(10, 111)(11, 116)(12, 115)(13, 125)(14, 126)(15, 127)(16, 128)(17, 122)(18, 121)(19, 124)(20, 123)(21, 133)(22, 134)(23, 135)(24, 136)(25, 130)(26, 129)(27, 132)(28, 131)(29, 141)(30, 142)(31, 161)(32, 163)(33, 138)(34, 137)(35, 165)(36, 168)(37, 171)(38, 170)(39, 173)(40, 167)(41, 177)(42, 179)(43, 181)(44, 183)(45, 185)(46, 187)(47, 189)(48, 191)(49, 193)(50, 195)(51, 197)(52, 199)(53, 140)(54, 201)(55, 139)(56, 203)(57, 148)(58, 205)(59, 143)(60, 146)(61, 208)(62, 144)(63, 147)(64, 211)(65, 145)(66, 210)(67, 213)(68, 207)(69, 150)(70, 212)(71, 149)(72, 215)(73, 152)(74, 216)(75, 151)(76, 206)(77, 154)(78, 214)(79, 153)(80, 209)(81, 156)(82, 202)(83, 155)(84, 204)(85, 158)(86, 200)(87, 157)(88, 198)(89, 160)(90, 194)(91, 159)(92, 196)(93, 164)(94, 192)(95, 162)(96, 190)(97, 176)(98, 182)(99, 166)(100, 174)(101, 186)(102, 169)(103, 175)(104, 180)(105, 172)(106, 188)(107, 178)(108, 184)
	local type(s) :: { ( 4, 27, 4, 27, 4, 27, 4, 27 ) }
Outer automorphisms :: reflexible
Dual of E26.1246
Transitivity :: ET+ VT+ AT
Graph::
	v = 27 e = 108 f = 31
	degree seq :: [ 8^27 ]

E26.1248 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 27})
Quotient :: dipole
Aut^+ = C27 : C4 (small group id <108, 1>)
Aut   = (C54 x C2) : C2 (small group id <216, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y1^4, (Y3^-1 * Y1^-1)^4, Y2^27 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 4, 112)(3, 111, 8, 116, 13, 121, 10, 118)(5, 113, 7, 115, 14, 122, 11, 119)(9, 117, 16, 124, 21, 129, 18, 126)(12, 120, 15, 123, 22, 130, 19, 127)(17, 125, 24, 132, 29, 137, 26, 134)(20, 128, 23, 131, 30, 138, 27, 135)(25, 133, 32, 140, 37, 145, 34, 142)(28, 136, 31, 139, 38, 146, 35, 143)(33, 141, 40, 148, 45, 153, 42, 150)(36, 144, 39, 147, 46, 154, 43, 151)(41, 149, 48, 156, 53, 161, 50, 158)(44, 152, 47, 155, 54, 162, 51, 159)(49, 157, 56, 164, 61, 169, 58, 166)(52, 160, 55, 163, 62, 170, 59, 167)(57, 165, 64, 172, 69, 177, 66, 174)(60, 168, 63, 171, 70, 178, 67, 175)(65, 173, 72, 180, 77, 185, 74, 182)(68, 176, 71, 179, 78, 186, 75, 183)(73, 181, 80, 188, 85, 193, 82, 190)(76, 184, 79, 187, 86, 194, 83, 191)(81, 189, 88, 196, 93, 201, 90, 198)(84, 192, 87, 195, 94, 202, 91, 199)(89, 197, 96, 204, 101, 209, 98, 206)(92, 200, 95, 203, 102, 210, 99, 207)(97, 205, 104, 212, 107, 215, 105, 213)(100, 208, 103, 211, 108, 216, 106, 214)(217, 325, 219, 327, 225, 333, 233, 341, 241, 349, 249, 357, 257, 365, 265, 373, 273, 381, 281, 389, 289, 397, 297, 405, 305, 413, 313, 421, 316, 424, 308, 416, 300, 408, 292, 400, 284, 392, 276, 384, 268, 376, 260, 368, 252, 360, 244, 352, 236, 344, 228, 336, 221, 329)(218, 326, 223, 331, 231, 339, 239, 347, 247, 355, 255, 363, 263, 371, 271, 379, 279, 387, 287, 395, 295, 403, 303, 411, 311, 419, 319, 427, 320, 428, 312, 420, 304, 412, 296, 404, 288, 396, 280, 388, 272, 380, 264, 372, 256, 364, 248, 356, 240, 348, 232, 340, 224, 332)(220, 328, 227, 335, 235, 343, 243, 351, 251, 359, 259, 367, 267, 375, 275, 383, 283, 391, 291, 399, 299, 407, 307, 415, 315, 423, 322, 430, 321, 429, 314, 422, 306, 414, 298, 406, 290, 398, 282, 390, 274, 382, 266, 374, 258, 366, 250, 358, 242, 350, 234, 342, 226, 334)(222, 330, 229, 337, 237, 345, 245, 353, 253, 361, 261, 369, 269, 377, 277, 385, 285, 393, 293, 401, 301, 409, 309, 417, 317, 425, 323, 431, 324, 432, 318, 426, 310, 418, 302, 410, 294, 402, 286, 394, 278, 386, 270, 378, 262, 370, 254, 362, 246, 354, 238, 346, 230, 338)
	L = (1, 219)(2, 223)(3, 225)(4, 227)(5, 217)(6, 229)(7, 231)(8, 218)(9, 233)(10, 220)(11, 235)(12, 221)(13, 237)(14, 222)(15, 239)(16, 224)(17, 241)(18, 226)(19, 243)(20, 228)(21, 245)(22, 230)(23, 247)(24, 232)(25, 249)(26, 234)(27, 251)(28, 236)(29, 253)(30, 238)(31, 255)(32, 240)(33, 257)(34, 242)(35, 259)(36, 244)(37, 261)(38, 246)(39, 263)(40, 248)(41, 265)(42, 250)(43, 267)(44, 252)(45, 269)(46, 254)(47, 271)(48, 256)(49, 273)(50, 258)(51, 275)(52, 260)(53, 277)(54, 262)(55, 279)(56, 264)(57, 281)(58, 266)(59, 283)(60, 268)(61, 285)(62, 270)(63, 287)(64, 272)(65, 289)(66, 274)(67, 291)(68, 276)(69, 293)(70, 278)(71, 295)(72, 280)(73, 297)(74, 282)(75, 299)(76, 284)(77, 301)(78, 286)(79, 303)(80, 288)(81, 305)(82, 290)(83, 307)(84, 292)(85, 309)(86, 294)(87, 311)(88, 296)(89, 313)(90, 298)(91, 315)(92, 300)(93, 317)(94, 302)(95, 319)(96, 304)(97, 316)(98, 306)(99, 322)(100, 308)(101, 323)(102, 310)(103, 320)(104, 312)(105, 314)(106, 321)(107, 324)(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, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E26.1249
Graph:: bipartite
	v = 31 e = 216 f = 135
	degree seq :: [ 8^27, 54^4 ]

E26.1249 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 27})
Quotient :: dipole
Aut^+ = C27 : C4 (small group id <108, 1>)
Aut   = (C54 x C2) : C2 (small group id <216, 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)^27 ]
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, 224, 332, 229, 337, 226, 334)(221, 329, 223, 331, 230, 338, 227, 335)(225, 333, 232, 340, 237, 345, 234, 342)(228, 336, 231, 339, 238, 346, 235, 343)(233, 341, 240, 348, 245, 353, 242, 350)(236, 344, 239, 347, 246, 354, 243, 351)(241, 349, 248, 356, 253, 361, 250, 358)(244, 352, 247, 355, 254, 362, 251, 359)(249, 357, 256, 364, 261, 369, 258, 366)(252, 360, 255, 363, 262, 370, 259, 367)(257, 365, 264, 372, 269, 377, 266, 374)(260, 368, 263, 371, 270, 378, 267, 375)(265, 373, 272, 380, 277, 385, 274, 382)(268, 376, 271, 379, 278, 386, 275, 383)(273, 381, 280, 388, 285, 393, 282, 390)(276, 384, 279, 387, 286, 394, 283, 391)(281, 389, 288, 396, 293, 401, 290, 398)(284, 392, 287, 395, 294, 402, 291, 399)(289, 397, 296, 404, 301, 409, 298, 406)(292, 400, 295, 403, 302, 410, 299, 407)(297, 405, 304, 412, 309, 417, 306, 414)(300, 408, 303, 411, 310, 418, 307, 415)(305, 413, 312, 420, 317, 425, 314, 422)(308, 416, 311, 419, 318, 426, 315, 423)(313, 421, 320, 428, 323, 431, 321, 429)(316, 424, 319, 427, 324, 432, 322, 430)
	L = (1, 219)(2, 223)(3, 225)(4, 227)(5, 217)(6, 229)(7, 231)(8, 218)(9, 233)(10, 220)(11, 235)(12, 221)(13, 237)(14, 222)(15, 239)(16, 224)(17, 241)(18, 226)(19, 243)(20, 228)(21, 245)(22, 230)(23, 247)(24, 232)(25, 249)(26, 234)(27, 251)(28, 236)(29, 253)(30, 238)(31, 255)(32, 240)(33, 257)(34, 242)(35, 259)(36, 244)(37, 261)(38, 246)(39, 263)(40, 248)(41, 265)(42, 250)(43, 267)(44, 252)(45, 269)(46, 254)(47, 271)(48, 256)(49, 273)(50, 258)(51, 275)(52, 260)(53, 277)(54, 262)(55, 279)(56, 264)(57, 281)(58, 266)(59, 283)(60, 268)(61, 285)(62, 270)(63, 287)(64, 272)(65, 289)(66, 274)(67, 291)(68, 276)(69, 293)(70, 278)(71, 295)(72, 280)(73, 297)(74, 282)(75, 299)(76, 284)(77, 301)(78, 286)(79, 303)(80, 288)(81, 305)(82, 290)(83, 307)(84, 292)(85, 309)(86, 294)(87, 311)(88, 296)(89, 313)(90, 298)(91, 315)(92, 300)(93, 317)(94, 302)(95, 319)(96, 304)(97, 316)(98, 306)(99, 322)(100, 308)(101, 323)(102, 310)(103, 320)(104, 312)(105, 314)(106, 321)(107, 324)(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) :: { ( 8, 54 ), ( 8, 54, 8, 54, 8, 54, 8, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.1248
Graph:: simple bipartite
	v = 135 e = 216 f = 31
	degree seq :: [ 2^108, 8^27 ]

E26.1250 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 54, 54})
Quotient :: regular
Aut^+ = C54 x C2 (small group id <108, 5>)
Aut   = C2 x C2 x D54 (small group id <216, 23>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T1^54 ]
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, 94, 96, 98, 99, 101, 103, 105, 107, 90, 32, 28, 24, 20, 16, 12, 8, 4)(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, 97, 92, 71, 93, 100, 102, 104, 106, 108, 91, 70, 51, 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, 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, 97)(91, 107)(92, 95)(93, 96)(98, 100)(99, 102)(101, 104)(103, 106)(105, 108)
	local type(s) :: { ( 54^54 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 54 f = 2
	degree seq :: [ 54^2 ]

E26.1251 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 54, 54})
Quotient :: edge
Aut^+ = C54 x C2 (small group id <108, 5>)
Aut   = C2 x C2 x D54 (small group id <216, 23>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^54 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 36, 33, 35, 39, 42, 44, 46, 48, 50, 52, 57, 54, 56, 60, 63, 65, 67, 69, 71, 73, 79, 76, 78, 82, 85, 87, 89, 91, 92, 94, 100, 97, 99, 103, 106, 108, 95, 32, 28, 24, 20, 16, 12, 8, 4)(2, 5, 9, 13, 17, 21, 25, 29, 41, 38, 34, 37, 40, 43, 45, 47, 49, 51, 62, 59, 55, 58, 61, 64, 66, 68, 70, 72, 84, 81, 77, 80, 83, 86, 88, 90, 75, 93, 105, 102, 98, 101, 104, 107, 96, 74, 53, 30, 26, 22, 18, 14, 10, 6)(109, 110)(111, 113)(112, 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, 149)(140, 161)(141, 142)(143, 145)(144, 146)(147, 148)(150, 151)(152, 153)(154, 155)(156, 157)(158, 159)(160, 170)(162, 163)(164, 166)(165, 167)(168, 169)(171, 172)(173, 174)(175, 176)(177, 178)(179, 180)(181, 192)(182, 203)(183, 199)(184, 185)(186, 188)(187, 189)(190, 191)(193, 194)(195, 196)(197, 198)(200, 201)(202, 213)(204, 216)(205, 206)(207, 209)(208, 210)(211, 212)(214, 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) :: { ( 108, 108 ), ( 108^54 ) }
Outer automorphisms :: reflexible
Dual of E26.1252
Transitivity :: ET+
Graph:: simple bipartite
	v = 56 e = 108 f = 2
	degree seq :: [ 2^54, 54^2 ]

E26.1252 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 54, 54})
Quotient :: loop
Aut^+ = C54 x C2 (small group id <108, 5>)
Aut   = C2 x C2 x D54 (small group id <216, 23>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^54 ]
Map::
	R = (1, 109, 3, 111, 7, 115, 11, 119, 15, 123, 19, 127, 23, 131, 27, 135, 31, 139, 38, 146, 34, 142, 37, 145, 41, 149, 43, 151, 45, 153, 47, 155, 49, 157, 51, 159, 61, 169, 57, 165, 54, 162, 56, 164, 60, 168, 63, 171, 65, 173, 67, 175, 69, 177, 71, 179, 73, 181, 81, 189, 77, 185, 80, 188, 84, 192, 86, 194, 88, 196, 90, 198, 75, 183, 93, 201, 104, 212, 100, 208, 97, 205, 99, 207, 103, 211, 106, 214, 108, 216, 95, 203, 32, 140, 28, 136, 24, 132, 20, 128, 16, 124, 12, 120, 8, 116, 4, 112)(2, 110, 5, 113, 9, 117, 13, 121, 17, 125, 21, 129, 25, 133, 29, 137, 40, 148, 36, 144, 33, 141, 35, 143, 39, 147, 42, 150, 44, 152, 46, 154, 48, 156, 50, 158, 52, 160, 59, 167, 55, 163, 58, 166, 62, 170, 64, 172, 66, 174, 68, 176, 70, 178, 72, 180, 83, 191, 79, 187, 76, 184, 78, 186, 82, 190, 85, 193, 87, 195, 89, 197, 91, 199, 92, 200, 94, 202, 102, 210, 98, 206, 101, 209, 105, 213, 107, 215, 96, 204, 74, 182, 53, 161, 30, 138, 26, 134, 22, 130, 18, 126, 14, 122, 10, 118, 6, 114)
	L = (1, 110)(2, 109)(3, 113)(4, 114)(5, 111)(6, 112)(7, 117)(8, 118)(9, 115)(10, 116)(11, 121)(12, 122)(13, 119)(14, 120)(15, 125)(16, 126)(17, 123)(18, 124)(19, 129)(20, 130)(21, 127)(22, 128)(23, 133)(24, 134)(25, 131)(26, 132)(27, 137)(28, 138)(29, 135)(30, 136)(31, 148)(32, 161)(33, 142)(34, 141)(35, 145)(36, 146)(37, 143)(38, 144)(39, 149)(40, 139)(41, 147)(42, 151)(43, 150)(44, 153)(45, 152)(46, 155)(47, 154)(48, 157)(49, 156)(50, 159)(51, 158)(52, 169)(53, 140)(54, 163)(55, 162)(56, 166)(57, 167)(58, 164)(59, 165)(60, 170)(61, 160)(62, 168)(63, 172)(64, 171)(65, 174)(66, 173)(67, 176)(68, 175)(69, 178)(70, 177)(71, 180)(72, 179)(73, 191)(74, 203)(75, 199)(76, 185)(77, 184)(78, 188)(79, 189)(80, 186)(81, 187)(82, 192)(83, 181)(84, 190)(85, 194)(86, 193)(87, 196)(88, 195)(89, 198)(90, 197)(91, 183)(92, 201)(93, 200)(94, 212)(95, 182)(96, 216)(97, 206)(98, 205)(99, 209)(100, 210)(101, 207)(102, 208)(103, 213)(104, 202)(105, 211)(106, 215)(107, 214)(108, 204)
	local type(s) :: { ( 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.1251
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 108 f = 56
	degree seq :: [ 108^2 ]

E26.1253 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 54, 54})
Quotient :: dipole
Aut^+ = C54 x C2 (small group id <108, 5>)
Aut   = C2 x C2 x D54 (small group id <216, 23>)
|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, Y2^54, (Y3 * Y2^-1)^54 ]
Map::
	R = (1, 109, 2, 110)(3, 111, 5, 113)(4, 112, 6, 114)(7, 115, 9, 117)(8, 116, 10, 118)(11, 119, 13, 121)(12, 120, 14, 122)(15, 123, 17, 125)(16, 124, 18, 126)(19, 127, 21, 129)(20, 128, 22, 130)(23, 131, 25, 133)(24, 132, 26, 134)(27, 135, 29, 137)(28, 136, 30, 138)(31, 139, 33, 141)(32, 140, 49, 157)(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, 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, 68, 176)(66, 174, 84, 192)(67, 175, 87, 195)(69, 177, 70, 178)(71, 179, 72, 180)(73, 181, 74, 182)(75, 183, 76, 184)(77, 185, 78, 186)(79, 187, 80, 188)(81, 189, 82, 190)(83, 191, 89, 197)(85, 193, 101, 209)(86, 194, 98, 206)(88, 196, 99, 207)(90, 198, 91, 199)(92, 200, 93, 201)(94, 202, 95, 203)(96, 204, 97, 205)(100, 208, 103, 211)(102, 210, 108, 216)(104, 212, 105, 213)(106, 214, 107, 215)(217, 325, 219, 327, 223, 331, 227, 335, 231, 339, 235, 343, 239, 347, 243, 351, 247, 355, 251, 359, 253, 361, 255, 363, 257, 365, 259, 367, 261, 369, 263, 371, 266, 374, 267, 375, 269, 377, 271, 379, 273, 381, 275, 383, 277, 385, 279, 387, 281, 389, 286, 394, 288, 396, 290, 398, 292, 400, 294, 402, 296, 404, 298, 406, 305, 413, 306, 414, 308, 416, 310, 418, 312, 420, 302, 410, 283, 391, 304, 412, 316, 424, 321, 429, 323, 431, 324, 432, 317, 425, 300, 408, 248, 356, 244, 352, 240, 348, 236, 344, 232, 340, 228, 336, 224, 332, 220, 328)(218, 326, 221, 329, 225, 333, 229, 337, 233, 341, 237, 345, 241, 349, 245, 353, 249, 357, 250, 358, 252, 360, 254, 362, 256, 364, 258, 366, 260, 368, 262, 370, 264, 372, 268, 376, 270, 378, 272, 380, 274, 382, 276, 384, 278, 386, 280, 388, 284, 392, 285, 393, 287, 395, 289, 397, 291, 399, 293, 401, 295, 403, 297, 405, 299, 407, 307, 415, 309, 417, 311, 419, 313, 421, 314, 422, 303, 411, 315, 423, 319, 427, 320, 428, 322, 430, 318, 426, 301, 409, 282, 390, 265, 373, 246, 354, 242, 350, 238, 346, 234, 342, 230, 338, 226, 334, 222, 330)
	L = (1, 218)(2, 217)(3, 221)(4, 222)(5, 219)(6, 220)(7, 225)(8, 226)(9, 223)(10, 224)(11, 229)(12, 230)(13, 227)(14, 228)(15, 233)(16, 234)(17, 231)(18, 232)(19, 237)(20, 238)(21, 235)(22, 236)(23, 241)(24, 242)(25, 239)(26, 240)(27, 245)(28, 246)(29, 243)(30, 244)(31, 249)(32, 265)(33, 247)(34, 251)(35, 250)(36, 253)(37, 252)(38, 255)(39, 254)(40, 257)(41, 256)(42, 259)(43, 258)(44, 261)(45, 260)(46, 263)(47, 262)(48, 266)(49, 248)(50, 264)(51, 268)(52, 267)(53, 270)(54, 269)(55, 272)(56, 271)(57, 274)(58, 273)(59, 276)(60, 275)(61, 278)(62, 277)(63, 280)(64, 279)(65, 284)(66, 300)(67, 303)(68, 281)(69, 286)(70, 285)(71, 288)(72, 287)(73, 290)(74, 289)(75, 292)(76, 291)(77, 294)(78, 293)(79, 296)(80, 295)(81, 298)(82, 297)(83, 305)(84, 282)(85, 317)(86, 314)(87, 283)(88, 315)(89, 299)(90, 307)(91, 306)(92, 309)(93, 308)(94, 311)(95, 310)(96, 313)(97, 312)(98, 302)(99, 304)(100, 319)(101, 301)(102, 324)(103, 316)(104, 321)(105, 320)(106, 323)(107, 322)(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, 108, 2, 108 ), ( 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108 ) }
Outer automorphisms :: reflexible
Dual of E26.1254
Graph:: bipartite
	v = 56 e = 216 f = 110
	degree seq :: [ 4^54, 108^2 ]

E26.1254 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 54, 54})
Quotient :: dipole
Aut^+ = C54 x C2 (small group id <108, 5>)
Aut   = C2 x C2 x D54 (small group id <216, 23>)
|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^-54, Y1^54 ]
Map::
	R = (1, 109, 2, 110, 5, 113, 9, 117, 13, 121, 17, 125, 21, 129, 25, 133, 29, 137, 35, 143, 38, 146, 40, 148, 42, 150, 44, 152, 46, 154, 48, 156, 50, 158, 55, 163, 52, 160, 53, 161, 56, 164, 58, 166, 60, 168, 62, 170, 64, 172, 66, 174, 68, 176, 74, 182, 77, 185, 79, 187, 81, 189, 83, 191, 85, 193, 87, 195, 89, 197, 96, 204, 92, 200, 71, 179, 93, 201, 97, 205, 99, 207, 101, 209, 103, 211, 105, 213, 107, 215, 90, 198, 32, 140, 28, 136, 24, 132, 20, 128, 16, 124, 12, 120, 8, 116, 4, 112)(3, 111, 6, 114, 10, 118, 14, 122, 18, 126, 22, 130, 26, 134, 30, 138, 36, 144, 33, 141, 34, 142, 37, 145, 39, 147, 41, 149, 43, 151, 45, 153, 47, 155, 49, 157, 54, 162, 57, 165, 59, 167, 61, 169, 63, 171, 65, 173, 67, 175, 69, 177, 75, 183, 72, 180, 73, 181, 76, 184, 78, 186, 80, 188, 82, 190, 84, 192, 86, 194, 88, 196, 95, 203, 94, 202, 98, 206, 100, 208, 102, 210, 104, 212, 106, 214, 108, 216, 91, 199, 70, 178, 51, 159, 31, 139, 27, 135, 23, 131, 19, 127, 15, 123, 11, 119, 7, 115)(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, 222)(3, 217)(4, 223)(5, 226)(6, 218)(7, 220)(8, 227)(9, 230)(10, 221)(11, 224)(12, 231)(13, 234)(14, 225)(15, 228)(16, 235)(17, 238)(18, 229)(19, 232)(20, 239)(21, 242)(22, 233)(23, 236)(24, 243)(25, 246)(26, 237)(27, 240)(28, 247)(29, 252)(30, 241)(31, 244)(32, 267)(33, 251)(34, 254)(35, 249)(36, 245)(37, 256)(38, 250)(39, 258)(40, 253)(41, 260)(42, 255)(43, 262)(44, 257)(45, 264)(46, 259)(47, 266)(48, 261)(49, 271)(50, 263)(51, 248)(52, 270)(53, 273)(54, 268)(55, 265)(56, 275)(57, 269)(58, 277)(59, 272)(60, 279)(61, 274)(62, 281)(63, 276)(64, 283)(65, 278)(66, 285)(67, 280)(68, 291)(69, 282)(70, 306)(71, 310)(72, 290)(73, 293)(74, 288)(75, 284)(76, 295)(77, 289)(78, 297)(79, 292)(80, 299)(81, 294)(82, 301)(83, 296)(84, 303)(85, 298)(86, 305)(87, 300)(88, 312)(89, 302)(90, 286)(91, 323)(92, 311)(93, 314)(94, 287)(95, 308)(96, 304)(97, 316)(98, 309)(99, 318)(100, 313)(101, 320)(102, 315)(103, 322)(104, 317)(105, 324)(106, 319)(107, 307)(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, 108 ), ( 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108 ) }
Outer automorphisms :: reflexible
Dual of E26.1253
Graph:: simple bipartite
	v = 110 e = 216 f = 56
	degree seq :: [ 2^108, 108^2 ]

E26.1255 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 28, 56})
Quotient :: regular
Aut^+ = C7 x QD16 (small group id <112, 25>)
Aut   = (D8 x D14) : C2 (small group id <224, 109>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T2 * T1^4 * T2 * T1^-4, (T2 * T1^-2 * T2 * T1^2)^2, T1^-6 * T2 * T1^-5 * T2 * T1^-3, T1^-2 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1^-2 * T2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 43, 66, 85, 101, 93, 77, 58, 34, 17, 29, 49, 71, 55, 75, 92, 108, 112, 109, 94, 78, 59, 35, 53, 74, 56, 32, 52, 73, 91, 107, 111, 110, 95, 79, 60, 76, 57, 33, 16, 28, 48, 70, 89, 105, 100, 84, 65, 42, 22, 10, 4)(3, 7, 15, 31, 44, 68, 88, 106, 97, 81, 62, 38, 20, 9, 19, 37, 46, 24, 45, 69, 90, 102, 98, 82, 63, 40, 21, 39, 50, 26, 12, 25, 47, 72, 86, 103, 99, 83, 64, 41, 54, 30, 14, 6, 13, 27, 51, 67, 87, 104, 96, 80, 61, 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, 55)(36, 60)(37, 56)(38, 59)(39, 57)(40, 58)(42, 61)(43, 67)(45, 70)(46, 71)(47, 73)(50, 74)(51, 75)(54, 76)(62, 79)(63, 78)(64, 77)(65, 81)(66, 86)(68, 89)(69, 91)(72, 92)(80, 93)(82, 95)(83, 94)(84, 98)(85, 102)(87, 105)(88, 107)(90, 108)(96, 109)(97, 101)(99, 110)(100, 103)(104, 111)(106, 112)
	local type(s) :: { ( 28^56 ) }
Outer automorphisms :: reflexible
Dual of E26.1256
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 56 f = 4
	degree seq :: [ 56^2 ]

E26.1256 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 28, 56})
Quotient :: regular
Aut^+ = C7 x QD16 (small group id <112, 25>)
Aut   = (D8 x D14) : C2 (small group id <224, 109>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^2 * T2, T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T2 * T1^-3 * T2 * T1^-1 * T2 * T1^-9 * T2 * T1^-1, T2 * T1^-1 * T2 * T1 * T2 * T1^13 * T2 * T1, (T1^-1 * T2)^56 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 65, 86, 105, 97, 78, 96, 77, 95, 76, 94, 75, 93, 112, 104, 85, 64, 46, 31, 19, 10, 4)(3, 7, 12, 22, 33, 49, 66, 88, 106, 101, 82, 61, 74, 54, 73, 53, 72, 52, 71, 91, 111, 100, 81, 60, 43, 28, 17, 8)(6, 13, 21, 34, 48, 67, 87, 107, 98, 79, 58, 41, 57, 40, 56, 39, 55, 70, 92, 110, 103, 84, 63, 45, 30, 18, 9, 14)(15, 25, 35, 51, 68, 90, 108, 102, 83, 62, 44, 29, 38, 24, 37, 23, 36, 50, 69, 89, 109, 99, 80, 59, 42, 27, 16, 26)
	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, 97)(83, 101)(84, 102)(85, 103)(86, 106)(88, 108)(90, 110)(92, 112)(98, 105)(99, 107)(100, 109)(104, 111)
	local type(s) :: { ( 56^28 ) }
Outer automorphisms :: reflexible
Dual of E26.1255
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 56 f = 2
	degree seq :: [ 28^4 ]

E26.1257 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 28, 56})
Quotient :: edge
Aut^+ = C7 x QD16 (small group id <112, 25>)
Aut   = (D8 x D14) : C2 (small group id <224, 109>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-2 * T1 * T2^2 * T1, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1, T2 * T1 * T2^3 * T1 * T2^9 * T1 * T2 * T1, (T2^-1 * T1)^56 ]
Map::
	R = (1, 3, 8, 17, 28, 43, 60, 81, 100, 109, 93, 71, 91, 69, 89, 67, 87, 65, 86, 105, 104, 85, 64, 46, 31, 19, 10, 4)(2, 5, 12, 22, 35, 51, 70, 92, 108, 101, 82, 61, 80, 59, 78, 57, 76, 55, 75, 97, 112, 96, 74, 54, 38, 24, 14, 6)(7, 15, 26, 41, 58, 79, 99, 110, 94, 72, 52, 36, 50, 34, 48, 32, 47, 66, 88, 106, 103, 84, 63, 45, 30, 18, 9, 16)(11, 20, 33, 49, 68, 90, 107, 102, 83, 62, 44, 29, 42, 27, 40, 25, 39, 56, 77, 98, 111, 95, 73, 53, 37, 23, 13, 21)(113, 114)(115, 119)(116, 121)(117, 123)(118, 125)(120, 124)(122, 126)(127, 137)(128, 139)(129, 138)(130, 141)(131, 142)(132, 144)(133, 146)(134, 145)(135, 148)(136, 149)(140, 147)(143, 150)(151, 167)(152, 169)(153, 168)(154, 171)(155, 170)(156, 173)(157, 174)(158, 175)(159, 177)(160, 179)(161, 178)(162, 181)(163, 180)(164, 183)(165, 184)(166, 185)(172, 182)(176, 186)(187, 198)(188, 199)(189, 209)(190, 201)(191, 210)(192, 203)(193, 211)(194, 205)(195, 213)(196, 214)(197, 215)(200, 217)(202, 218)(204, 219)(206, 221)(207, 222)(208, 223)(212, 220)(216, 224)
	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) :: { ( 112, 112 ), ( 112^28 ) }
Outer automorphisms :: reflexible
Dual of E26.1261
Transitivity :: ET+
Graph:: simple bipartite
	v = 60 e = 112 f = 2
	degree seq :: [ 2^56, 28^4 ]

E26.1258 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 28, 56})
Quotient :: edge
Aut^+ = C7 x QD16 (small group id <112, 25>)
Aut   = (D8 x D14) : C2 (small group id <224, 109>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2^-1)^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1^-3 * T2^-1 * T1, T1^-1 * T2^-1 * T1 * T2^2 * T1 * T2 * T1^-1 * T2^-2, T2^2 * T1^-1 * T2^2 * T1 * T2^-1 * T1 * T2^-1 * T1, T1^-1 * T2^3 * T1^-1 * T2^-5, T1^-1 * T2^6 * T1^-1 * T2^2 * T1^-4, T1^-1 * T2^2 * T1^-1 * T2^38 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 48, 78, 97, 111, 94, 66, 38, 18, 6, 17, 36, 64, 92, 70, 55, 85, 104, 110, 89, 61, 34, 21, 42, 71, 96, 68, 41, 30, 53, 83, 102, 106, 86, 62, 43, 72, 95, 67, 39, 20, 13, 28, 51, 81, 100, 107, 90, 73, 59, 33, 15, 5)(2, 7, 19, 40, 69, 49, 80, 101, 112, 91, 63, 35, 16, 14, 31, 56, 77, 47, 26, 50, 82, 103, 108, 87, 60, 37, 32, 57, 76, 46, 24, 11, 27, 52, 84, 98, 105, 88, 65, 58, 75, 45, 23, 9, 4, 12, 29, 54, 79, 99, 109, 93, 74, 44, 22, 8)(113, 114, 118, 128, 146, 172, 198, 217, 212, 191, 160, 181, 204, 189, 208, 188, 207, 187, 171, 186, 206, 224, 216, 194, 165, 139, 125, 116)(115, 121, 129, 120, 133, 147, 174, 199, 219, 210, 190, 166, 182, 152, 180, 168, 179, 169, 145, 170, 178, 205, 222, 213, 195, 162, 140, 123)(117, 126, 130, 149, 173, 200, 218, 211, 193, 161, 137, 159, 176, 158, 183, 157, 184, 156, 185, 203, 223, 215, 197, 164, 142, 124, 132, 119)(122, 136, 148, 135, 154, 134, 155, 175, 202, 220, 209, 196, 167, 141, 153, 131, 151, 143, 127, 144, 150, 177, 201, 221, 214, 192, 163, 138)
	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) :: { ( 4^28 ), ( 4^56 ) }
Outer automorphisms :: reflexible
Dual of E26.1262
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 112 f = 56
	degree seq :: [ 28^4, 56^2 ]

E26.1259 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 28, 56})
Quotient :: edge
Aut^+ = C7 x QD16 (small group id <112, 25>)
Aut   = (D8 x D14) : C2 (small group id <224, 109>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T2 * T1^4 * T2 * T1^-4, (T2 * T1^-2 * T2 * T1^2)^2, T1^-6 * T2 * T1^-5 * T2 * T1^-3, T1^-2 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1^-2 * T2 * T1^-2 * 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, 35)(19, 33)(20, 34)(22, 41)(23, 44)(25, 48)(26, 49)(27, 52)(30, 53)(31, 55)(36, 60)(37, 56)(38, 59)(39, 57)(40, 58)(42, 61)(43, 67)(45, 70)(46, 71)(47, 73)(50, 74)(51, 75)(54, 76)(62, 79)(63, 78)(64, 77)(65, 81)(66, 86)(68, 89)(69, 91)(72, 92)(80, 93)(82, 95)(83, 94)(84, 98)(85, 102)(87, 105)(88, 107)(90, 108)(96, 109)(97, 101)(99, 110)(100, 103)(104, 111)(106, 112)(113, 114, 117, 123, 135, 155, 178, 197, 213, 205, 189, 170, 146, 129, 141, 161, 183, 167, 187, 204, 220, 224, 221, 206, 190, 171, 147, 165, 186, 168, 144, 164, 185, 203, 219, 223, 222, 207, 191, 172, 188, 169, 145, 128, 140, 160, 182, 201, 217, 212, 196, 177, 154, 134, 122, 116)(115, 119, 127, 143, 156, 180, 200, 218, 209, 193, 174, 150, 132, 121, 131, 149, 158, 136, 157, 181, 202, 214, 210, 194, 175, 152, 133, 151, 162, 138, 124, 137, 159, 184, 198, 215, 211, 195, 176, 153, 166, 142, 126, 118, 125, 139, 163, 179, 199, 216, 208, 192, 173, 148, 130, 120)
	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) :: { ( 56, 56 ), ( 56^56 ) }
Outer automorphisms :: reflexible
Dual of E26.1260
Transitivity :: ET+
Graph:: simple bipartite
	v = 58 e = 112 f = 4
	degree seq :: [ 2^56, 56^2 ]

E26.1260 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 28, 56})
Quotient :: loop
Aut^+ = C7 x QD16 (small group id <112, 25>)
Aut   = (D8 x D14) : C2 (small group id <224, 109>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-2 * T1 * T2^2 * T1, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1, T2 * T1 * T2^3 * T1 * T2^9 * T1 * T2 * T1, (T2^-1 * T1)^56 ]
Map::
	R = (1, 113, 3, 115, 8, 120, 17, 129, 28, 140, 43, 155, 60, 172, 81, 193, 100, 212, 109, 221, 93, 205, 71, 183, 91, 203, 69, 181, 89, 201, 67, 179, 87, 199, 65, 177, 86, 198, 105, 217, 104, 216, 85, 197, 64, 176, 46, 158, 31, 143, 19, 131, 10, 122, 4, 116)(2, 114, 5, 117, 12, 124, 22, 134, 35, 147, 51, 163, 70, 182, 92, 204, 108, 220, 101, 213, 82, 194, 61, 173, 80, 192, 59, 171, 78, 190, 57, 169, 76, 188, 55, 167, 75, 187, 97, 209, 112, 224, 96, 208, 74, 186, 54, 166, 38, 150, 24, 136, 14, 126, 6, 118)(7, 119, 15, 127, 26, 138, 41, 153, 58, 170, 79, 191, 99, 211, 110, 222, 94, 206, 72, 184, 52, 164, 36, 148, 50, 162, 34, 146, 48, 160, 32, 144, 47, 159, 66, 178, 88, 200, 106, 218, 103, 215, 84, 196, 63, 175, 45, 157, 30, 142, 18, 130, 9, 121, 16, 128)(11, 123, 20, 132, 33, 145, 49, 161, 68, 180, 90, 202, 107, 219, 102, 214, 83, 195, 62, 174, 44, 156, 29, 141, 42, 154, 27, 139, 40, 152, 25, 137, 39, 151, 56, 168, 77, 189, 98, 210, 111, 223, 95, 207, 73, 185, 53, 165, 37, 149, 23, 135, 13, 125, 21, 133)
	L = (1, 114)(2, 113)(3, 119)(4, 121)(5, 123)(6, 125)(7, 115)(8, 124)(9, 116)(10, 126)(11, 117)(12, 120)(13, 118)(14, 122)(15, 137)(16, 139)(17, 138)(18, 141)(19, 142)(20, 144)(21, 146)(22, 145)(23, 148)(24, 149)(25, 127)(26, 129)(27, 128)(28, 147)(29, 130)(30, 131)(31, 150)(32, 132)(33, 134)(34, 133)(35, 140)(36, 135)(37, 136)(38, 143)(39, 167)(40, 169)(41, 168)(42, 171)(43, 170)(44, 173)(45, 174)(46, 175)(47, 177)(48, 179)(49, 178)(50, 181)(51, 180)(52, 183)(53, 184)(54, 185)(55, 151)(56, 153)(57, 152)(58, 155)(59, 154)(60, 182)(61, 156)(62, 157)(63, 158)(64, 186)(65, 159)(66, 161)(67, 160)(68, 163)(69, 162)(70, 172)(71, 164)(72, 165)(73, 166)(74, 176)(75, 198)(76, 199)(77, 209)(78, 201)(79, 210)(80, 203)(81, 211)(82, 205)(83, 213)(84, 214)(85, 215)(86, 187)(87, 188)(88, 217)(89, 190)(90, 218)(91, 192)(92, 219)(93, 194)(94, 221)(95, 222)(96, 223)(97, 189)(98, 191)(99, 193)(100, 220)(101, 195)(102, 196)(103, 197)(104, 224)(105, 200)(106, 202)(107, 204)(108, 212)(109, 206)(110, 207)(111, 208)(112, 216)
	local type(s) :: { ( 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.1259
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 112 f = 58
	degree seq :: [ 56^4 ]

E26.1261 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 28, 56})
Quotient :: loop
Aut^+ = C7 x QD16 (small group id <112, 25>)
Aut   = (D8 x D14) : C2 (small group id <224, 109>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2^-1)^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1^-3 * T2^-1 * T1, T1^-1 * T2^-1 * T1 * T2^2 * T1 * T2 * T1^-1 * T2^-2, T2^2 * T1^-1 * T2^2 * T1 * T2^-1 * T1 * T2^-1 * T1, T1^-1 * T2^3 * T1^-1 * T2^-5, T1^-1 * T2^6 * T1^-1 * T2^2 * T1^-4, T1^-1 * T2^2 * T1^-1 * T2^38 ]
Map::
	R = (1, 113, 3, 115, 10, 122, 25, 137, 48, 160, 78, 190, 97, 209, 111, 223, 94, 206, 66, 178, 38, 150, 18, 130, 6, 118, 17, 129, 36, 148, 64, 176, 92, 204, 70, 182, 55, 167, 85, 197, 104, 216, 110, 222, 89, 201, 61, 173, 34, 146, 21, 133, 42, 154, 71, 183, 96, 208, 68, 180, 41, 153, 30, 142, 53, 165, 83, 195, 102, 214, 106, 218, 86, 198, 62, 174, 43, 155, 72, 184, 95, 207, 67, 179, 39, 151, 20, 132, 13, 125, 28, 140, 51, 163, 81, 193, 100, 212, 107, 219, 90, 202, 73, 185, 59, 171, 33, 145, 15, 127, 5, 117)(2, 114, 7, 119, 19, 131, 40, 152, 69, 181, 49, 161, 80, 192, 101, 213, 112, 224, 91, 203, 63, 175, 35, 147, 16, 128, 14, 126, 31, 143, 56, 168, 77, 189, 47, 159, 26, 138, 50, 162, 82, 194, 103, 215, 108, 220, 87, 199, 60, 172, 37, 149, 32, 144, 57, 169, 76, 188, 46, 158, 24, 136, 11, 123, 27, 139, 52, 164, 84, 196, 98, 210, 105, 217, 88, 200, 65, 177, 58, 170, 75, 187, 45, 157, 23, 135, 9, 121, 4, 116, 12, 124, 29, 141, 54, 166, 79, 191, 99, 211, 109, 221, 93, 205, 74, 186, 44, 156, 22, 134, 8, 120)
	L = (1, 114)(2, 118)(3, 121)(4, 113)(5, 126)(6, 128)(7, 117)(8, 133)(9, 129)(10, 136)(11, 115)(12, 132)(13, 116)(14, 130)(15, 144)(16, 146)(17, 120)(18, 149)(19, 151)(20, 119)(21, 147)(22, 155)(23, 154)(24, 148)(25, 159)(26, 122)(27, 125)(28, 123)(29, 153)(30, 124)(31, 127)(32, 150)(33, 170)(34, 172)(35, 174)(36, 135)(37, 173)(38, 177)(39, 143)(40, 180)(41, 131)(42, 134)(43, 175)(44, 185)(45, 184)(46, 183)(47, 176)(48, 181)(49, 137)(50, 140)(51, 138)(52, 142)(53, 139)(54, 182)(55, 141)(56, 179)(57, 145)(58, 178)(59, 186)(60, 198)(61, 200)(62, 199)(63, 202)(64, 158)(65, 201)(66, 205)(67, 169)(68, 168)(69, 204)(70, 152)(71, 157)(72, 156)(73, 203)(74, 206)(75, 171)(76, 207)(77, 208)(78, 166)(79, 160)(80, 163)(81, 161)(82, 165)(83, 162)(84, 167)(85, 164)(86, 217)(87, 219)(88, 218)(89, 221)(90, 220)(91, 223)(92, 189)(93, 222)(94, 224)(95, 187)(96, 188)(97, 196)(98, 190)(99, 193)(100, 191)(101, 195)(102, 192)(103, 197)(104, 194)(105, 212)(106, 211)(107, 210)(108, 209)(109, 214)(110, 213)(111, 215)(112, 216)
	local type(s) :: { ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28 ) }
Outer automorphisms :: reflexible
Dual of E26.1257
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 112 f = 60
	degree seq :: [ 112^2 ]

E26.1262 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 28, 56})
Quotient :: loop
Aut^+ = C7 x QD16 (small group id <112, 25>)
Aut   = (D8 x D14) : C2 (small group id <224, 109>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T2 * T1^4 * T2 * T1^-4, (T2 * T1^-2 * T2 * T1^2)^2, T1^-6 * T2 * T1^-5 * T2 * T1^-3, T1^-2 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 113, 3, 115)(2, 114, 6, 118)(4, 116, 9, 121)(5, 117, 12, 124)(7, 119, 16, 128)(8, 120, 17, 129)(10, 122, 21, 133)(11, 123, 24, 136)(13, 125, 28, 140)(14, 126, 29, 141)(15, 127, 32, 144)(18, 130, 35, 147)(19, 131, 33, 145)(20, 132, 34, 146)(22, 134, 41, 153)(23, 135, 44, 156)(25, 137, 48, 160)(26, 138, 49, 161)(27, 139, 52, 164)(30, 142, 53, 165)(31, 143, 55, 167)(36, 148, 60, 172)(37, 149, 56, 168)(38, 150, 59, 171)(39, 151, 57, 169)(40, 152, 58, 170)(42, 154, 61, 173)(43, 155, 67, 179)(45, 157, 70, 182)(46, 158, 71, 183)(47, 159, 73, 185)(50, 162, 74, 186)(51, 163, 75, 187)(54, 166, 76, 188)(62, 174, 79, 191)(63, 175, 78, 190)(64, 176, 77, 189)(65, 177, 81, 193)(66, 178, 86, 198)(68, 180, 89, 201)(69, 181, 91, 203)(72, 184, 92, 204)(80, 192, 93, 205)(82, 194, 95, 207)(83, 195, 94, 206)(84, 196, 98, 210)(85, 197, 102, 214)(87, 199, 105, 217)(88, 200, 107, 219)(90, 202, 108, 220)(96, 208, 109, 221)(97, 209, 101, 213)(99, 211, 110, 222)(100, 212, 103, 215)(104, 216, 111, 223)(106, 218, 112, 224)
	L = (1, 114)(2, 117)(3, 119)(4, 113)(5, 123)(6, 125)(7, 127)(8, 115)(9, 131)(10, 116)(11, 135)(12, 137)(13, 139)(14, 118)(15, 143)(16, 140)(17, 141)(18, 120)(19, 149)(20, 121)(21, 151)(22, 122)(23, 155)(24, 157)(25, 159)(26, 124)(27, 163)(28, 160)(29, 161)(30, 126)(31, 156)(32, 164)(33, 128)(34, 129)(35, 165)(36, 130)(37, 158)(38, 132)(39, 162)(40, 133)(41, 166)(42, 134)(43, 178)(44, 180)(45, 181)(46, 136)(47, 184)(48, 182)(49, 183)(50, 138)(51, 179)(52, 185)(53, 186)(54, 142)(55, 187)(56, 144)(57, 145)(58, 146)(59, 147)(60, 188)(61, 148)(62, 150)(63, 152)(64, 153)(65, 154)(66, 197)(67, 199)(68, 200)(69, 202)(70, 201)(71, 167)(72, 198)(73, 203)(74, 168)(75, 204)(76, 169)(77, 170)(78, 171)(79, 172)(80, 173)(81, 174)(82, 175)(83, 176)(84, 177)(85, 213)(86, 215)(87, 216)(88, 218)(89, 217)(90, 214)(91, 219)(92, 220)(93, 189)(94, 190)(95, 191)(96, 192)(97, 193)(98, 194)(99, 195)(100, 196)(101, 205)(102, 210)(103, 211)(104, 208)(105, 212)(106, 209)(107, 223)(108, 224)(109, 206)(110, 207)(111, 222)(112, 221)
	local type(s) :: { ( 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.1258
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 56 e = 112 f = 6
	degree seq :: [ 4^56 ]

E26.1263 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 28, 56})
Quotient :: dipole
Aut^+ = C7 x QD16 (small group id <112, 25>)
Aut   = (D8 x D14) : C2 (small group id <224, 109>)
|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 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, Y2 * Y1 * Y2^3 * Y1 * Y2^9 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^56 ]
Map::
	R = (1, 113, 2, 114)(3, 115, 7, 119)(4, 116, 9, 121)(5, 117, 11, 123)(6, 118, 13, 125)(8, 120, 12, 124)(10, 122, 14, 126)(15, 127, 25, 137)(16, 128, 27, 139)(17, 129, 26, 138)(18, 130, 29, 141)(19, 131, 30, 142)(20, 132, 32, 144)(21, 133, 34, 146)(22, 134, 33, 145)(23, 135, 36, 148)(24, 136, 37, 149)(28, 140, 35, 147)(31, 143, 38, 150)(39, 151, 55, 167)(40, 152, 57, 169)(41, 153, 56, 168)(42, 154, 59, 171)(43, 155, 58, 170)(44, 156, 61, 173)(45, 157, 62, 174)(46, 158, 63, 175)(47, 159, 65, 177)(48, 160, 67, 179)(49, 161, 66, 178)(50, 162, 69, 181)(51, 163, 68, 180)(52, 164, 71, 183)(53, 165, 72, 184)(54, 166, 73, 185)(60, 172, 70, 182)(64, 176, 74, 186)(75, 187, 86, 198)(76, 188, 87, 199)(77, 189, 97, 209)(78, 190, 89, 201)(79, 191, 98, 210)(80, 192, 91, 203)(81, 193, 99, 211)(82, 194, 93, 205)(83, 195, 101, 213)(84, 196, 102, 214)(85, 197, 103, 215)(88, 200, 105, 217)(90, 202, 106, 218)(92, 204, 107, 219)(94, 206, 109, 221)(95, 207, 110, 222)(96, 208, 111, 223)(100, 212, 108, 220)(104, 216, 112, 224)(225, 337, 227, 339, 232, 344, 241, 353, 252, 364, 267, 379, 284, 396, 305, 417, 324, 436, 333, 445, 317, 429, 295, 407, 315, 427, 293, 405, 313, 425, 291, 403, 311, 423, 289, 401, 310, 422, 329, 441, 328, 440, 309, 421, 288, 400, 270, 382, 255, 367, 243, 355, 234, 346, 228, 340)(226, 338, 229, 341, 236, 348, 246, 358, 259, 371, 275, 387, 294, 406, 316, 428, 332, 444, 325, 437, 306, 418, 285, 397, 304, 416, 283, 395, 302, 414, 281, 393, 300, 412, 279, 391, 299, 411, 321, 433, 336, 448, 320, 432, 298, 410, 278, 390, 262, 374, 248, 360, 238, 350, 230, 342)(231, 343, 239, 351, 250, 362, 265, 377, 282, 394, 303, 415, 323, 435, 334, 446, 318, 430, 296, 408, 276, 388, 260, 372, 274, 386, 258, 370, 272, 384, 256, 368, 271, 383, 290, 402, 312, 424, 330, 442, 327, 439, 308, 420, 287, 399, 269, 381, 254, 366, 242, 354, 233, 345, 240, 352)(235, 347, 244, 356, 257, 369, 273, 385, 292, 404, 314, 426, 331, 443, 326, 438, 307, 419, 286, 398, 268, 380, 253, 365, 266, 378, 251, 363, 264, 376, 249, 361, 263, 375, 280, 392, 301, 413, 322, 434, 335, 447, 319, 431, 297, 409, 277, 389, 261, 373, 247, 359, 237, 349, 245, 357)
	L = (1, 226)(2, 225)(3, 231)(4, 233)(5, 235)(6, 237)(7, 227)(8, 236)(9, 228)(10, 238)(11, 229)(12, 232)(13, 230)(14, 234)(15, 249)(16, 251)(17, 250)(18, 253)(19, 254)(20, 256)(21, 258)(22, 257)(23, 260)(24, 261)(25, 239)(26, 241)(27, 240)(28, 259)(29, 242)(30, 243)(31, 262)(32, 244)(33, 246)(34, 245)(35, 252)(36, 247)(37, 248)(38, 255)(39, 279)(40, 281)(41, 280)(42, 283)(43, 282)(44, 285)(45, 286)(46, 287)(47, 289)(48, 291)(49, 290)(50, 293)(51, 292)(52, 295)(53, 296)(54, 297)(55, 263)(56, 265)(57, 264)(58, 267)(59, 266)(60, 294)(61, 268)(62, 269)(63, 270)(64, 298)(65, 271)(66, 273)(67, 272)(68, 275)(69, 274)(70, 284)(71, 276)(72, 277)(73, 278)(74, 288)(75, 310)(76, 311)(77, 321)(78, 313)(79, 322)(80, 315)(81, 323)(82, 317)(83, 325)(84, 326)(85, 327)(86, 299)(87, 300)(88, 329)(89, 302)(90, 330)(91, 304)(92, 331)(93, 306)(94, 333)(95, 334)(96, 335)(97, 301)(98, 303)(99, 305)(100, 332)(101, 307)(102, 308)(103, 309)(104, 336)(105, 312)(106, 314)(107, 316)(108, 324)(109, 318)(110, 319)(111, 320)(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, 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 E26.1266
Graph:: bipartite
	v = 60 e = 224 f = 114
	degree seq :: [ 4^56, 56^4 ]

E26.1264 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 28, 56})
Quotient :: dipole
Aut^+ = C7 x QD16 (small group id <112, 25>)
Aut   = (D8 x D14) : C2 (small group id <224, 109>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (Y3^-1 * Y1^-1)^2, (Y1^-1 * Y2^-1)^2, R * Y2 * R * Y3, (R * Y1)^2, Y1^-3 * Y2^-1 * Y1 * Y2^-1, Y1^-2 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2^3 * Y1^-1 * Y2^-5 * Y1^-1, Y1^-1 * Y2^3 * Y1^-1 * Y2 * Y1^-3 * Y2^2 * Y1^-3, Y2^4 * Y1^-2 * Y2 * Y1^-1 * Y2^2 * Y1^-3 * Y2, Y2^-1 * Y1 * Y2^-1 * Y1^25, Y1^-1 * Y2^3 * Y1^-1 * Y2^51 ]
Map::
	R = (1, 113, 2, 114, 6, 118, 16, 128, 34, 146, 60, 172, 86, 198, 105, 217, 100, 212, 79, 191, 48, 160, 69, 181, 92, 204, 77, 189, 96, 208, 76, 188, 95, 207, 75, 187, 59, 171, 74, 186, 94, 206, 112, 224, 104, 216, 82, 194, 53, 165, 27, 139, 13, 125, 4, 116)(3, 115, 9, 121, 17, 129, 8, 120, 21, 133, 35, 147, 62, 174, 87, 199, 107, 219, 98, 210, 78, 190, 54, 166, 70, 182, 40, 152, 68, 180, 56, 168, 67, 179, 57, 169, 33, 145, 58, 170, 66, 178, 93, 205, 110, 222, 101, 213, 83, 195, 50, 162, 28, 140, 11, 123)(5, 117, 14, 126, 18, 130, 37, 149, 61, 173, 88, 200, 106, 218, 99, 211, 81, 193, 49, 161, 25, 137, 47, 159, 64, 176, 46, 158, 71, 183, 45, 157, 72, 184, 44, 156, 73, 185, 91, 203, 111, 223, 103, 215, 85, 197, 52, 164, 30, 142, 12, 124, 20, 132, 7, 119)(10, 122, 24, 136, 36, 148, 23, 135, 42, 154, 22, 134, 43, 155, 63, 175, 90, 202, 108, 220, 97, 209, 84, 196, 55, 167, 29, 141, 41, 153, 19, 131, 39, 151, 31, 143, 15, 127, 32, 144, 38, 150, 65, 177, 89, 201, 109, 221, 102, 214, 80, 192, 51, 163, 26, 138)(225, 337, 227, 339, 234, 346, 249, 361, 272, 384, 302, 414, 321, 433, 335, 447, 318, 430, 290, 402, 262, 374, 242, 354, 230, 342, 241, 353, 260, 372, 288, 400, 316, 428, 294, 406, 279, 391, 309, 421, 328, 440, 334, 446, 313, 425, 285, 397, 258, 370, 245, 357, 266, 378, 295, 407, 320, 432, 292, 404, 265, 377, 254, 366, 277, 389, 307, 419, 326, 438, 330, 442, 310, 422, 286, 398, 267, 379, 296, 408, 319, 431, 291, 403, 263, 375, 244, 356, 237, 349, 252, 364, 275, 387, 305, 417, 324, 436, 331, 443, 314, 426, 297, 409, 283, 395, 257, 369, 239, 351, 229, 341)(226, 338, 231, 343, 243, 355, 264, 376, 293, 405, 273, 385, 304, 416, 325, 437, 336, 448, 315, 427, 287, 399, 259, 371, 240, 352, 238, 350, 255, 367, 280, 392, 301, 413, 271, 383, 250, 362, 274, 386, 306, 418, 327, 439, 332, 444, 311, 423, 284, 396, 261, 373, 256, 368, 281, 393, 300, 412, 270, 382, 248, 360, 235, 347, 251, 363, 276, 388, 308, 420, 322, 434, 329, 441, 312, 424, 289, 401, 282, 394, 299, 411, 269, 381, 247, 359, 233, 345, 228, 340, 236, 348, 253, 365, 278, 390, 303, 415, 323, 435, 333, 445, 317, 429, 298, 410, 268, 380, 246, 358, 232, 344)
	L = (1, 227)(2, 231)(3, 234)(4, 236)(5, 225)(6, 241)(7, 243)(8, 226)(9, 228)(10, 249)(11, 251)(12, 253)(13, 252)(14, 255)(15, 229)(16, 238)(17, 260)(18, 230)(19, 264)(20, 237)(21, 266)(22, 232)(23, 233)(24, 235)(25, 272)(26, 274)(27, 276)(28, 275)(29, 278)(30, 277)(31, 280)(32, 281)(33, 239)(34, 245)(35, 240)(36, 288)(37, 256)(38, 242)(39, 244)(40, 293)(41, 254)(42, 295)(43, 296)(44, 246)(45, 247)(46, 248)(47, 250)(48, 302)(49, 304)(50, 306)(51, 305)(52, 308)(53, 307)(54, 303)(55, 309)(56, 301)(57, 300)(58, 299)(59, 257)(60, 261)(61, 258)(62, 267)(63, 259)(64, 316)(65, 282)(66, 262)(67, 263)(68, 265)(69, 273)(70, 279)(71, 320)(72, 319)(73, 283)(74, 268)(75, 269)(76, 270)(77, 271)(78, 321)(79, 323)(80, 325)(81, 324)(82, 327)(83, 326)(84, 322)(85, 328)(86, 286)(87, 284)(88, 289)(89, 285)(90, 297)(91, 287)(92, 294)(93, 298)(94, 290)(95, 291)(96, 292)(97, 335)(98, 329)(99, 333)(100, 331)(101, 336)(102, 330)(103, 332)(104, 334)(105, 312)(106, 310)(107, 314)(108, 311)(109, 317)(110, 313)(111, 318)(112, 315)(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, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E26.1265
Graph:: bipartite
	v = 6 e = 224 f = 168
	degree seq :: [ 56^4, 112^2 ]

E26.1265 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 28, 56})
Quotient :: dipole
Aut^+ = C7 x QD16 (small group id <112, 25>)
Aut   = (D8 x D14) : C2 (small group id <224, 109>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3, Y3^-4 * Y2 * Y3^4 * Y2, (Y3^-2 * Y2 * Y3^2 * Y2)^2, Y3^-12 * Y2 * Y3^-1 * Y2 * Y3^-1, Y3^2 * 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 * Y3^2 * Y2, (Y3^-1 * Y1^-1)^56 ]
Map:: polytopal
	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)(227, 339, 231, 343)(228, 340, 233, 345)(229, 341, 235, 347)(230, 342, 237, 349)(232, 344, 241, 353)(234, 346, 245, 357)(236, 348, 249, 361)(238, 350, 253, 365)(239, 351, 247, 359)(240, 352, 251, 363)(242, 354, 259, 371)(243, 355, 248, 360)(244, 356, 252, 364)(246, 358, 265, 377)(250, 362, 271, 383)(254, 366, 277, 389)(255, 367, 269, 381)(256, 368, 275, 387)(257, 369, 267, 379)(258, 370, 273, 385)(260, 372, 272, 384)(261, 373, 270, 382)(262, 374, 276, 388)(263, 375, 268, 380)(264, 376, 274, 386)(266, 378, 278, 390)(279, 391, 294, 406)(280, 392, 291, 403)(281, 393, 292, 404)(282, 394, 293, 405)(283, 395, 290, 402)(284, 396, 295, 407)(285, 397, 301, 413)(286, 398, 299, 411)(287, 399, 298, 410)(288, 400, 297, 409)(289, 401, 305, 417)(296, 408, 309, 421)(300, 412, 313, 425)(302, 414, 311, 423)(303, 415, 310, 422)(304, 416, 318, 430)(306, 418, 315, 427)(307, 419, 314, 426)(308, 420, 322, 434)(312, 424, 326, 438)(316, 428, 330, 442)(317, 429, 325, 437)(319, 431, 327, 439)(320, 432, 334, 446)(321, 433, 329, 441)(323, 435, 331, 443)(324, 436, 333, 445)(328, 440, 336, 448)(332, 444, 335, 447)
	L = (1, 227)(2, 229)(3, 232)(4, 225)(5, 236)(6, 226)(7, 239)(8, 242)(9, 243)(10, 228)(11, 247)(12, 250)(13, 251)(14, 230)(15, 255)(16, 231)(17, 257)(18, 260)(19, 261)(20, 233)(21, 263)(22, 234)(23, 267)(24, 235)(25, 269)(26, 272)(27, 273)(28, 237)(29, 275)(30, 238)(31, 279)(32, 240)(33, 281)(34, 241)(35, 283)(36, 285)(37, 284)(38, 244)(39, 282)(40, 245)(41, 280)(42, 246)(43, 290)(44, 248)(45, 292)(46, 249)(47, 294)(48, 296)(49, 295)(50, 252)(51, 293)(52, 253)(53, 291)(54, 254)(55, 301)(56, 256)(57, 302)(58, 258)(59, 303)(60, 259)(61, 304)(62, 262)(63, 264)(64, 265)(65, 266)(66, 309)(67, 268)(68, 310)(69, 270)(70, 311)(71, 271)(72, 312)(73, 274)(74, 276)(75, 277)(76, 278)(77, 317)(78, 318)(79, 319)(80, 320)(81, 286)(82, 287)(83, 288)(84, 289)(85, 325)(86, 326)(87, 327)(88, 328)(89, 297)(90, 298)(91, 299)(92, 300)(93, 332)(94, 333)(95, 334)(96, 329)(97, 305)(98, 306)(99, 307)(100, 308)(101, 324)(102, 335)(103, 336)(104, 321)(105, 313)(106, 314)(107, 315)(108, 316)(109, 323)(110, 322)(111, 331)(112, 330)(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) :: { ( 56, 112 ), ( 56, 112, 56, 112 ) }
Outer automorphisms :: reflexible
Dual of E26.1264
Graph:: simple bipartite
	v = 168 e = 224 f = 6
	degree seq :: [ 2^112, 4^56 ]

E26.1266 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 28, 56})
Quotient :: dipole
Aut^+ = C7 x QD16 (small group id <112, 25>)
Aut   = (D8 x D14) : C2 (small group id <224, 109>)
|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 * Y3 * Y1^-1, Y3 * Y1^4 * Y3 * Y1^-4, (Y3 * Y1^-2 * Y3 * Y1^2)^2, Y1^-9 * Y3 * Y1^-5 * Y3, Y1^-2 * Y3 * Y1^-3 * Y3 * Y1^-3 * Y3 * Y1^-3 * Y3 * Y1^-3 * Y3 * Y1^-3 * Y3 * Y1^-3 * Y3 * Y1^-3 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-1 ]
Map::
	R = (1, 113, 2, 114, 5, 117, 11, 123, 23, 135, 43, 155, 66, 178, 85, 197, 101, 213, 93, 205, 77, 189, 58, 170, 34, 146, 17, 129, 29, 141, 49, 161, 71, 183, 55, 167, 75, 187, 92, 204, 108, 220, 112, 224, 109, 221, 94, 206, 78, 190, 59, 171, 35, 147, 53, 165, 74, 186, 56, 168, 32, 144, 52, 164, 73, 185, 91, 203, 107, 219, 111, 223, 110, 222, 95, 207, 79, 191, 60, 172, 76, 188, 57, 169, 33, 145, 16, 128, 28, 140, 48, 160, 70, 182, 89, 201, 105, 217, 100, 212, 84, 196, 65, 177, 42, 154, 22, 134, 10, 122, 4, 116)(3, 115, 7, 119, 15, 127, 31, 143, 44, 156, 68, 180, 88, 200, 106, 218, 97, 209, 81, 193, 62, 174, 38, 150, 20, 132, 9, 121, 19, 131, 37, 149, 46, 158, 24, 136, 45, 157, 69, 181, 90, 202, 102, 214, 98, 210, 82, 194, 63, 175, 40, 152, 21, 133, 39, 151, 50, 162, 26, 138, 12, 124, 25, 137, 47, 159, 72, 184, 86, 198, 103, 215, 99, 211, 83, 195, 64, 176, 41, 153, 54, 166, 30, 142, 14, 126, 6, 118, 13, 125, 27, 139, 51, 163, 67, 179, 87, 199, 104, 216, 96, 208, 80, 192, 61, 173, 36, 148, 18, 130, 8, 120)(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, 233)(5, 236)(6, 226)(7, 240)(8, 241)(9, 228)(10, 245)(11, 248)(12, 229)(13, 252)(14, 253)(15, 256)(16, 231)(17, 232)(18, 259)(19, 257)(20, 258)(21, 234)(22, 265)(23, 268)(24, 235)(25, 272)(26, 273)(27, 276)(28, 237)(29, 238)(30, 277)(31, 279)(32, 239)(33, 243)(34, 244)(35, 242)(36, 284)(37, 280)(38, 283)(39, 281)(40, 282)(41, 246)(42, 285)(43, 291)(44, 247)(45, 294)(46, 295)(47, 297)(48, 249)(49, 250)(50, 298)(51, 299)(52, 251)(53, 254)(54, 300)(55, 255)(56, 261)(57, 263)(58, 264)(59, 262)(60, 260)(61, 266)(62, 303)(63, 302)(64, 301)(65, 305)(66, 310)(67, 267)(68, 313)(69, 315)(70, 269)(71, 270)(72, 316)(73, 271)(74, 274)(75, 275)(76, 278)(77, 288)(78, 287)(79, 286)(80, 317)(81, 289)(82, 319)(83, 318)(84, 322)(85, 326)(86, 290)(87, 329)(88, 331)(89, 292)(90, 332)(91, 293)(92, 296)(93, 304)(94, 307)(95, 306)(96, 333)(97, 325)(98, 308)(99, 334)(100, 327)(101, 321)(102, 309)(103, 324)(104, 335)(105, 311)(106, 336)(107, 312)(108, 314)(109, 320)(110, 323)(111, 328)(112, 330)(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, 56 ), ( 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.1263
Graph:: simple bipartite
	v = 114 e = 224 f = 60
	degree seq :: [ 2^112, 112^2 ]

E26.1267 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 28, 56})
Quotient :: dipole
Aut^+ = C7 x QD16 (small group id <112, 25>)
Aut   = (D8 x D14) : C2 (small group id <224, 109>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (Y1 * R * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1, Y2^-1 * Y1 * Y2^4 * Y1 * Y2^-3, (Y2^-3 * R * Y2^-1)^2, (Y2^-2 * Y1 * Y2^2 * Y1)^2, Y2^-3 * Y1 * Y2^-5 * Y1 * Y2^-6, (Y3 * Y2^-1)^28 ]
Map::
	R = (1, 113, 2, 114)(3, 115, 7, 119)(4, 116, 9, 121)(5, 117, 11, 123)(6, 118, 13, 125)(8, 120, 17, 129)(10, 122, 21, 133)(12, 124, 25, 137)(14, 126, 29, 141)(15, 127, 23, 135)(16, 128, 27, 139)(18, 130, 35, 147)(19, 131, 24, 136)(20, 132, 28, 140)(22, 134, 41, 153)(26, 138, 47, 159)(30, 142, 53, 165)(31, 143, 45, 157)(32, 144, 51, 163)(33, 145, 43, 155)(34, 146, 49, 161)(36, 148, 48, 160)(37, 149, 46, 158)(38, 150, 52, 164)(39, 151, 44, 156)(40, 152, 50, 162)(42, 154, 54, 166)(55, 167, 70, 182)(56, 168, 67, 179)(57, 169, 68, 180)(58, 170, 69, 181)(59, 171, 66, 178)(60, 172, 71, 183)(61, 173, 77, 189)(62, 174, 75, 187)(63, 175, 74, 186)(64, 176, 73, 185)(65, 177, 81, 193)(72, 184, 85, 197)(76, 188, 89, 201)(78, 190, 87, 199)(79, 191, 86, 198)(80, 192, 94, 206)(82, 194, 91, 203)(83, 195, 90, 202)(84, 196, 98, 210)(88, 200, 102, 214)(92, 204, 106, 218)(93, 205, 101, 213)(95, 207, 103, 215)(96, 208, 110, 222)(97, 209, 105, 217)(99, 211, 107, 219)(100, 212, 109, 221)(104, 216, 112, 224)(108, 220, 111, 223)(225, 337, 227, 339, 232, 344, 242, 354, 260, 372, 285, 397, 304, 416, 320, 432, 329, 441, 313, 425, 297, 409, 274, 386, 252, 364, 237, 349, 251, 363, 273, 385, 295, 407, 271, 383, 294, 406, 311, 423, 327, 439, 336, 448, 330, 442, 314, 426, 298, 410, 276, 388, 253, 365, 275, 387, 293, 405, 270, 382, 249, 361, 269, 381, 292, 404, 310, 422, 326, 438, 335, 447, 331, 443, 315, 427, 299, 411, 277, 389, 291, 403, 268, 380, 248, 360, 235, 347, 247, 359, 267, 379, 290, 402, 309, 421, 325, 437, 324, 436, 308, 420, 289, 401, 266, 378, 246, 358, 234, 346, 228, 340)(226, 338, 229, 341, 236, 348, 250, 362, 272, 384, 296, 408, 312, 424, 328, 440, 321, 433, 305, 417, 286, 398, 262, 374, 244, 356, 233, 345, 243, 355, 261, 373, 284, 396, 259, 371, 283, 395, 303, 415, 319, 431, 334, 446, 322, 434, 306, 418, 287, 399, 264, 376, 245, 357, 263, 375, 282, 394, 258, 370, 241, 353, 257, 369, 281, 393, 302, 414, 318, 430, 333, 445, 323, 435, 307, 419, 288, 400, 265, 377, 280, 392, 256, 368, 240, 352, 231, 343, 239, 351, 255, 367, 279, 391, 301, 413, 317, 429, 332, 444, 316, 428, 300, 412, 278, 390, 254, 366, 238, 350, 230, 342)
	L = (1, 226)(2, 225)(3, 231)(4, 233)(5, 235)(6, 237)(7, 227)(8, 241)(9, 228)(10, 245)(11, 229)(12, 249)(13, 230)(14, 253)(15, 247)(16, 251)(17, 232)(18, 259)(19, 248)(20, 252)(21, 234)(22, 265)(23, 239)(24, 243)(25, 236)(26, 271)(27, 240)(28, 244)(29, 238)(30, 277)(31, 269)(32, 275)(33, 267)(34, 273)(35, 242)(36, 272)(37, 270)(38, 276)(39, 268)(40, 274)(41, 246)(42, 278)(43, 257)(44, 263)(45, 255)(46, 261)(47, 250)(48, 260)(49, 258)(50, 264)(51, 256)(52, 262)(53, 254)(54, 266)(55, 294)(56, 291)(57, 292)(58, 293)(59, 290)(60, 295)(61, 301)(62, 299)(63, 298)(64, 297)(65, 305)(66, 283)(67, 280)(68, 281)(69, 282)(70, 279)(71, 284)(72, 309)(73, 288)(74, 287)(75, 286)(76, 313)(77, 285)(78, 311)(79, 310)(80, 318)(81, 289)(82, 315)(83, 314)(84, 322)(85, 296)(86, 303)(87, 302)(88, 326)(89, 300)(90, 307)(91, 306)(92, 330)(93, 325)(94, 304)(95, 327)(96, 334)(97, 329)(98, 308)(99, 331)(100, 333)(101, 317)(102, 312)(103, 319)(104, 336)(105, 321)(106, 316)(107, 323)(108, 335)(109, 324)(110, 320)(111, 332)(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, 56, 2, 56 ), ( 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.1268
Graph:: bipartite
	v = 58 e = 224 f = 116
	degree seq :: [ 4^56, 112^2 ]

E26.1268 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 28, 56})
Quotient :: dipole
Aut^+ = C7 x QD16 (small group id <112, 25>)
Aut   = (D8 x D14) : C2 (small group id <224, 109>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1^-1 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1^-3 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3^2 * Y1^-1 * Y3^2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3^-2 * Y1^-1 * Y3^3 * Y1^-1 * Y3^-3, Y1^-1 * Y3^6 * Y1^-1 * Y3^2 * Y1^-4, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^2 * Y1^2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^4, (Y3 * Y2^-1)^56 ]
Map::
	R = (1, 113, 2, 114, 6, 118, 16, 128, 34, 146, 60, 172, 86, 198, 105, 217, 100, 212, 79, 191, 48, 160, 69, 181, 92, 204, 77, 189, 96, 208, 76, 188, 95, 207, 75, 187, 59, 171, 74, 186, 94, 206, 112, 224, 104, 216, 82, 194, 53, 165, 27, 139, 13, 125, 4, 116)(3, 115, 9, 121, 17, 129, 8, 120, 21, 133, 35, 147, 62, 174, 87, 199, 107, 219, 98, 210, 78, 190, 54, 166, 70, 182, 40, 152, 68, 180, 56, 168, 67, 179, 57, 169, 33, 145, 58, 170, 66, 178, 93, 205, 110, 222, 101, 213, 83, 195, 50, 162, 28, 140, 11, 123)(5, 117, 14, 126, 18, 130, 37, 149, 61, 173, 88, 200, 106, 218, 99, 211, 81, 193, 49, 161, 25, 137, 47, 159, 64, 176, 46, 158, 71, 183, 45, 157, 72, 184, 44, 156, 73, 185, 91, 203, 111, 223, 103, 215, 85, 197, 52, 164, 30, 142, 12, 124, 20, 132, 7, 119)(10, 122, 24, 136, 36, 148, 23, 135, 42, 154, 22, 134, 43, 155, 63, 175, 90, 202, 108, 220, 97, 209, 84, 196, 55, 167, 29, 141, 41, 153, 19, 131, 39, 151, 31, 143, 15, 127, 32, 144, 38, 150, 65, 177, 89, 201, 109, 221, 102, 214, 80, 192, 51, 163, 26, 138)(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, 231)(3, 234)(4, 236)(5, 225)(6, 241)(7, 243)(8, 226)(9, 228)(10, 249)(11, 251)(12, 253)(13, 252)(14, 255)(15, 229)(16, 238)(17, 260)(18, 230)(19, 264)(20, 237)(21, 266)(22, 232)(23, 233)(24, 235)(25, 272)(26, 274)(27, 276)(28, 275)(29, 278)(30, 277)(31, 280)(32, 281)(33, 239)(34, 245)(35, 240)(36, 288)(37, 256)(38, 242)(39, 244)(40, 293)(41, 254)(42, 295)(43, 296)(44, 246)(45, 247)(46, 248)(47, 250)(48, 302)(49, 304)(50, 306)(51, 305)(52, 308)(53, 307)(54, 303)(55, 309)(56, 301)(57, 300)(58, 299)(59, 257)(60, 261)(61, 258)(62, 267)(63, 259)(64, 316)(65, 282)(66, 262)(67, 263)(68, 265)(69, 273)(70, 279)(71, 320)(72, 319)(73, 283)(74, 268)(75, 269)(76, 270)(77, 271)(78, 321)(79, 323)(80, 325)(81, 324)(82, 327)(83, 326)(84, 322)(85, 328)(86, 286)(87, 284)(88, 289)(89, 285)(90, 297)(91, 287)(92, 294)(93, 298)(94, 290)(95, 291)(96, 292)(97, 335)(98, 329)(99, 333)(100, 331)(101, 336)(102, 330)(103, 332)(104, 334)(105, 312)(106, 310)(107, 314)(108, 311)(109, 317)(110, 313)(111, 318)(112, 315)(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, 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
Dual of E26.1267
Graph:: simple bipartite
	v = 116 e = 224 f = 58
	degree seq :: [ 2^112, 56^4 ]

E26.1269 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, Y3 * Y2 * R * Y2 * R * Y2, (Y3 * Y2)^3, (Y1 * Y2 * Y1 * Y3)^2, (Y3 * Y1)^4, (Y1 * Y2)^6, R * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * R * Y1 * Y2 * Y1 * Y2 * Y1, Y2 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122)(3, 123, 7, 127)(4, 124, 9, 129)(5, 125, 11, 131)(6, 126, 13, 133)(8, 128, 17, 137)(10, 130, 21, 141)(12, 132, 24, 144)(14, 134, 28, 148)(15, 135, 29, 149)(16, 136, 26, 146)(18, 138, 34, 154)(19, 139, 23, 143)(20, 140, 27, 147)(22, 142, 39, 159)(25, 145, 44, 164)(30, 150, 51, 171)(31, 151, 53, 173)(32, 152, 50, 170)(33, 153, 45, 165)(35, 155, 43, 163)(36, 156, 48, 168)(37, 157, 59, 179)(38, 158, 46, 166)(40, 160, 64, 184)(41, 161, 66, 186)(42, 162, 63, 183)(47, 167, 72, 192)(49, 169, 62, 182)(52, 172, 79, 199)(54, 174, 78, 198)(55, 175, 81, 201)(56, 176, 83, 203)(57, 177, 71, 191)(58, 178, 70, 190)(60, 180, 87, 207)(61, 181, 89, 209)(65, 185, 94, 214)(67, 187, 93, 213)(68, 188, 96, 216)(69, 189, 98, 218)(73, 193, 102, 222)(74, 194, 104, 224)(75, 195, 92, 212)(76, 196, 106, 226)(77, 197, 90, 210)(80, 200, 101, 221)(82, 202, 110, 230)(84, 204, 114, 234)(85, 205, 116, 236)(86, 206, 95, 215)(88, 208, 119, 239)(91, 211, 115, 235)(97, 217, 112, 232)(99, 219, 113, 233)(100, 220, 108, 228)(103, 223, 105, 225)(107, 227, 120, 240)(109, 229, 118, 238)(111, 231, 117, 237)(241, 361, 243, 363)(242, 362, 245, 365)(244, 364, 250, 370)(246, 366, 254, 374)(247, 367, 255, 375)(248, 368, 258, 378)(249, 369, 259, 379)(251, 371, 262, 382)(252, 372, 265, 385)(253, 373, 266, 386)(256, 376, 271, 391)(257, 377, 272, 392)(260, 380, 276, 396)(261, 381, 277, 397)(263, 383, 281, 401)(264, 384, 282, 402)(267, 387, 286, 406)(268, 388, 287, 407)(269, 389, 289, 409)(270, 390, 292, 412)(273, 393, 295, 415)(274, 394, 296, 416)(275, 395, 298, 418)(278, 398, 301, 421)(279, 399, 302, 422)(280, 400, 305, 425)(283, 403, 308, 428)(284, 404, 309, 429)(285, 405, 311, 431)(288, 408, 314, 434)(290, 410, 316, 436)(291, 411, 317, 437)(293, 413, 320, 440)(294, 414, 322, 442)(297, 417, 325, 445)(299, 419, 326, 446)(300, 420, 328, 448)(303, 423, 331, 451)(304, 424, 332, 452)(306, 426, 335, 455)(307, 427, 337, 457)(310, 430, 340, 460)(312, 432, 341, 461)(313, 433, 343, 463)(315, 435, 345, 465)(318, 438, 348, 468)(319, 439, 349, 469)(321, 441, 352, 472)(323, 443, 353, 473)(324, 444, 355, 475)(327, 447, 358, 478)(329, 449, 360, 480)(330, 450, 359, 479)(333, 453, 356, 476)(334, 454, 351, 471)(336, 456, 350, 470)(338, 458, 354, 474)(339, 459, 346, 466)(342, 462, 357, 477)(344, 464, 347, 467)
	L = (1, 244)(2, 246)(3, 248)(4, 241)(5, 252)(6, 242)(7, 256)(8, 243)(9, 260)(10, 258)(11, 263)(12, 245)(13, 267)(14, 265)(15, 270)(16, 247)(17, 273)(18, 250)(19, 275)(20, 249)(21, 278)(22, 280)(23, 251)(24, 283)(25, 254)(26, 285)(27, 253)(28, 288)(29, 290)(30, 255)(31, 292)(32, 294)(33, 257)(34, 297)(35, 259)(36, 298)(37, 300)(38, 261)(39, 303)(40, 262)(41, 305)(42, 307)(43, 264)(44, 310)(45, 266)(46, 311)(47, 313)(48, 268)(49, 315)(50, 269)(51, 318)(52, 271)(53, 321)(54, 272)(55, 322)(56, 324)(57, 274)(58, 276)(59, 323)(60, 277)(61, 328)(62, 330)(63, 279)(64, 333)(65, 281)(66, 336)(67, 282)(68, 337)(69, 339)(70, 284)(71, 286)(72, 338)(73, 287)(74, 343)(75, 289)(76, 345)(77, 347)(78, 291)(79, 350)(80, 351)(81, 293)(82, 295)(83, 299)(84, 296)(85, 355)(86, 357)(87, 354)(88, 301)(89, 356)(90, 302)(91, 359)(92, 360)(93, 304)(94, 352)(95, 349)(96, 306)(97, 308)(98, 312)(99, 309)(100, 346)(101, 358)(102, 353)(103, 314)(104, 348)(105, 316)(106, 340)(107, 317)(108, 344)(109, 335)(110, 319)(111, 320)(112, 334)(113, 342)(114, 327)(115, 325)(116, 329)(117, 326)(118, 341)(119, 331)(120, 332)(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) :: { ( 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E26.1283
Graph:: simple bipartite
	v = 120 e = 240 f = 70
	degree seq :: [ 4^120 ]

E26.1270 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y3^3, Y3^-1 * Y2 * Y3 * Y2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y1 * Y3^-1)^4, (Y2 * Y1 * Y3)^3, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y3^-2 * Y1 * Y3^-1, (Y2 * Y1 * Y3 * Y1 * Y2 * Y1)^2, (Y2 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122)(3, 123, 9, 129)(4, 124, 12, 132)(5, 125, 13, 133)(6, 126, 14, 134)(7, 127, 17, 137)(8, 128, 18, 138)(10, 130, 22, 142)(11, 131, 23, 143)(15, 135, 33, 153)(16, 136, 34, 154)(19, 139, 41, 161)(20, 140, 44, 164)(21, 141, 45, 165)(24, 144, 52, 172)(25, 145, 40, 160)(26, 146, 55, 175)(27, 147, 56, 176)(28, 148, 59, 179)(29, 149, 36, 156)(30, 150, 60, 180)(31, 151, 63, 183)(32, 152, 64, 184)(35, 155, 65, 185)(37, 157, 68, 188)(38, 158, 69, 189)(39, 159, 72, 192)(42, 162, 58, 178)(43, 163, 53, 173)(46, 166, 82, 202)(47, 167, 81, 201)(48, 168, 84, 204)(49, 169, 85, 205)(50, 170, 87, 207)(51, 171, 77, 197)(54, 174, 57, 177)(61, 181, 71, 191)(62, 182, 66, 186)(67, 187, 70, 190)(73, 193, 98, 218)(74, 194, 90, 210)(75, 195, 94, 214)(76, 196, 103, 223)(78, 198, 92, 212)(79, 199, 101, 221)(80, 200, 97, 217)(83, 203, 86, 206)(88, 208, 100, 220)(89, 209, 95, 215)(91, 211, 104, 224)(93, 213, 99, 219)(96, 216, 102, 222)(105, 225, 110, 230)(106, 226, 107, 227)(108, 228, 109, 229)(111, 231, 120, 240)(112, 232, 115, 235)(113, 233, 118, 238)(114, 234, 119, 239)(116, 236, 117, 237)(241, 361, 243, 363)(242, 362, 246, 366)(244, 364, 250, 370)(245, 365, 251, 371)(247, 367, 255, 375)(248, 368, 256, 376)(249, 369, 259, 379)(252, 372, 264, 384)(253, 373, 267, 387)(254, 374, 270, 390)(257, 377, 275, 395)(258, 378, 278, 398)(260, 380, 282, 402)(261, 381, 283, 403)(262, 382, 286, 406)(263, 383, 289, 409)(265, 385, 293, 413)(266, 386, 294, 414)(268, 388, 297, 417)(269, 389, 298, 418)(271, 391, 301, 421)(272, 392, 302, 422)(273, 393, 291, 411)(274, 394, 287, 407)(276, 396, 306, 426)(277, 397, 307, 427)(279, 399, 310, 430)(280, 400, 311, 431)(281, 401, 313, 433)(284, 404, 316, 436)(285, 405, 319, 439)(288, 408, 323, 443)(290, 410, 326, 446)(292, 412, 328, 448)(295, 415, 331, 451)(296, 416, 333, 453)(299, 419, 336, 456)(300, 420, 338, 458)(303, 423, 341, 461)(304, 424, 343, 463)(305, 425, 334, 454)(308, 428, 337, 457)(309, 429, 330, 450)(312, 432, 332, 452)(314, 434, 345, 465)(315, 435, 346, 466)(317, 437, 347, 467)(318, 438, 348, 468)(320, 440, 349, 469)(321, 441, 350, 470)(322, 442, 351, 471)(324, 444, 353, 473)(325, 445, 354, 474)(327, 447, 356, 476)(329, 449, 357, 477)(335, 455, 358, 478)(339, 459, 359, 479)(340, 460, 360, 480)(342, 462, 352, 472)(344, 464, 355, 475)
	L = (1, 244)(2, 247)(3, 250)(4, 251)(5, 241)(6, 255)(7, 256)(8, 242)(9, 260)(10, 245)(11, 243)(12, 265)(13, 268)(14, 271)(15, 248)(16, 246)(17, 276)(18, 279)(19, 282)(20, 283)(21, 249)(22, 287)(23, 290)(24, 293)(25, 294)(26, 252)(27, 297)(28, 298)(29, 253)(30, 301)(31, 302)(32, 254)(33, 289)(34, 288)(35, 306)(36, 307)(37, 257)(38, 310)(39, 311)(40, 258)(41, 314)(42, 261)(43, 259)(44, 317)(45, 320)(46, 274)(47, 323)(48, 262)(49, 326)(50, 273)(51, 263)(52, 329)(53, 266)(54, 264)(55, 332)(56, 334)(57, 269)(58, 267)(59, 324)(60, 339)(61, 272)(62, 270)(63, 322)(64, 344)(65, 335)(66, 277)(67, 275)(68, 336)(69, 328)(70, 280)(71, 278)(72, 327)(73, 345)(74, 346)(75, 281)(76, 347)(77, 348)(78, 284)(79, 349)(80, 350)(81, 285)(82, 352)(83, 286)(84, 308)(85, 304)(86, 291)(87, 295)(88, 357)(89, 309)(90, 292)(91, 312)(92, 356)(93, 305)(94, 358)(95, 296)(96, 353)(97, 299)(98, 359)(99, 360)(100, 300)(101, 351)(102, 303)(103, 355)(104, 354)(105, 315)(106, 313)(107, 318)(108, 316)(109, 321)(110, 319)(111, 342)(112, 341)(113, 337)(114, 343)(115, 325)(116, 331)(117, 330)(118, 333)(119, 340)(120, 338)(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) :: { ( 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E26.1284
Graph:: simple bipartite
	v = 120 e = 240 f = 70
	degree seq :: [ 4^120 ]

E26.1271 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y1 * Y3)^2, Y3^4, (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3 * Y2 * Y1 * Y3^-1 * Y2, Y3 * Y2 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1, (Y3 * Y2^-1)^4, Y3 * Y2 * Y3 * Y2 * Y3^2 * Y2^-1 * Y3^-1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122)(3, 123, 11, 131)(4, 124, 10, 130)(5, 125, 17, 137)(6, 126, 8, 128)(7, 127, 22, 142)(9, 129, 28, 148)(12, 132, 35, 155)(13, 133, 27, 147)(14, 134, 30, 150)(15, 135, 26, 146)(16, 136, 24, 144)(18, 138, 47, 167)(19, 139, 25, 145)(20, 140, 53, 173)(21, 141, 56, 176)(23, 143, 61, 181)(29, 149, 71, 191)(31, 151, 75, 195)(32, 152, 77, 197)(33, 153, 70, 190)(34, 154, 79, 199)(36, 156, 81, 201)(37, 157, 68, 188)(38, 158, 42, 162)(39, 159, 86, 206)(40, 160, 41, 161)(43, 163, 76, 196)(44, 164, 63, 183)(45, 165, 91, 211)(46, 166, 59, 179)(48, 168, 57, 177)(49, 169, 65, 185)(50, 170, 84, 204)(51, 171, 93, 213)(52, 172, 83, 203)(54, 174, 95, 215)(55, 175, 67, 187)(58, 178, 66, 186)(60, 180, 99, 219)(62, 182, 101, 221)(64, 184, 105, 225)(69, 189, 109, 229)(72, 192, 78, 198)(73, 193, 104, 224)(74, 194, 103, 223)(80, 200, 108, 228)(82, 202, 116, 236)(85, 205, 96, 216)(87, 207, 106, 226)(88, 208, 107, 227)(89, 209, 100, 220)(90, 210, 94, 214)(92, 212, 117, 237)(97, 217, 119, 239)(98, 218, 112, 232)(102, 222, 115, 235)(110, 230, 118, 238)(111, 231, 114, 234)(113, 233, 120, 240)(241, 361, 243, 363, 245, 365)(242, 362, 247, 367, 249, 369)(244, 364, 254, 374, 256, 376)(246, 366, 260, 380, 261, 381)(248, 368, 265, 385, 267, 387)(250, 370, 271, 391, 272, 392)(251, 371, 273, 393, 274, 394)(252, 372, 276, 396, 278, 398)(253, 373, 279, 399, 280, 400)(255, 375, 282, 402, 283, 403)(257, 377, 285, 405, 286, 406)(258, 378, 288, 408, 290, 410)(259, 379, 291, 411, 292, 412)(262, 382, 299, 419, 300, 420)(263, 383, 302, 422, 298, 418)(264, 384, 304, 424, 289, 409)(266, 386, 306, 426, 307, 427)(268, 388, 309, 429, 310, 430)(269, 389, 312, 432, 313, 433)(270, 390, 294, 414, 314, 434)(275, 395, 295, 415, 322, 442)(277, 397, 324, 444, 325, 445)(281, 401, 329, 449, 293, 413)(284, 404, 287, 407, 328, 448)(296, 416, 337, 457, 333, 453)(297, 417, 334, 454, 338, 458)(301, 421, 316, 436, 342, 462)(303, 423, 344, 464, 330, 450)(305, 425, 348, 468, 315, 435)(308, 428, 311, 431, 347, 467)(317, 437, 351, 471, 335, 455)(318, 438, 336, 456, 352, 472)(319, 439, 353, 473, 331, 451)(320, 440, 332, 452, 354, 474)(321, 441, 327, 447, 355, 475)(323, 443, 358, 478, 326, 446)(339, 459, 360, 480, 349, 469)(340, 460, 350, 470, 359, 479)(341, 461, 346, 466, 356, 476)(343, 463, 357, 477, 345, 465)
	L = (1, 244)(2, 248)(3, 252)(4, 255)(5, 258)(6, 241)(7, 263)(8, 266)(9, 269)(10, 242)(11, 267)(12, 277)(13, 243)(14, 281)(15, 246)(16, 284)(17, 265)(18, 289)(19, 245)(20, 294)(21, 297)(22, 256)(23, 303)(24, 247)(25, 305)(26, 250)(27, 308)(28, 254)(29, 280)(30, 249)(31, 291)(32, 318)(33, 312)(34, 320)(35, 251)(36, 323)(37, 253)(38, 272)(39, 327)(40, 270)(41, 311)(42, 273)(43, 330)(44, 301)(45, 332)(46, 298)(47, 257)(48, 296)(49, 259)(50, 322)(51, 334)(52, 321)(53, 307)(54, 336)(55, 260)(56, 306)(57, 286)(58, 261)(59, 288)(60, 340)(61, 262)(62, 343)(63, 264)(64, 346)(65, 287)(66, 299)(67, 325)(68, 275)(69, 350)(70, 278)(71, 268)(72, 317)(73, 342)(74, 341)(75, 283)(76, 271)(77, 282)(78, 310)(79, 276)(80, 292)(81, 274)(82, 357)(83, 348)(84, 285)(85, 335)(86, 347)(87, 345)(88, 279)(89, 339)(90, 333)(91, 290)(92, 356)(93, 315)(94, 316)(95, 293)(96, 295)(97, 360)(98, 351)(99, 302)(100, 314)(101, 300)(102, 358)(103, 329)(104, 309)(105, 328)(106, 326)(107, 304)(108, 319)(109, 313)(110, 355)(111, 353)(112, 337)(113, 359)(114, 352)(115, 344)(116, 324)(117, 331)(118, 349)(119, 338)(120, 354)(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, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E26.1279
Graph:: simple bipartite
	v = 100 e = 240 f = 90
	degree seq :: [ 4^60, 6^40 ]

E26.1272 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, Y3^-1 * Y2 * Y3 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y3, Y1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1, R * Y2 * Y1 * Y2 * Y3 * R * Y2, (Y2^-1 * R * Y2 * Y1)^2, (Y3 * Y2^-1)^4, Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y2^-2 * Y3 * Y2, Y3 * Y2 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122)(3, 123, 11, 131)(4, 124, 10, 130)(5, 125, 17, 137)(6, 126, 8, 128)(7, 127, 22, 142)(9, 129, 28, 148)(12, 132, 32, 152)(13, 133, 34, 154)(14, 134, 41, 161)(15, 135, 26, 146)(16, 136, 46, 166)(18, 138, 31, 151)(19, 139, 50, 170)(20, 140, 29, 149)(21, 141, 23, 143)(24, 144, 60, 180)(25, 145, 65, 185)(27, 147, 69, 189)(30, 150, 72, 192)(33, 153, 73, 193)(35, 155, 80, 200)(36, 156, 83, 203)(37, 157, 78, 198)(38, 158, 86, 206)(39, 159, 81, 201)(40, 160, 43, 163)(42, 162, 68, 188)(44, 164, 70, 190)(45, 165, 55, 175)(47, 167, 67, 187)(48, 168, 93, 213)(49, 169, 95, 215)(51, 171, 59, 179)(52, 172, 58, 178)(53, 173, 77, 197)(54, 174, 97, 217)(56, 176, 85, 205)(57, 177, 74, 194)(61, 181, 100, 220)(62, 182, 103, 223)(63, 183, 101, 221)(64, 184, 66, 186)(71, 191, 110, 230)(75, 195, 111, 231)(76, 196, 105, 225)(79, 199, 99, 219)(82, 202, 114, 234)(84, 204, 109, 229)(87, 207, 91, 211)(88, 208, 115, 235)(89, 209, 119, 239)(90, 210, 108, 228)(92, 212, 104, 224)(94, 214, 96, 216)(98, 218, 112, 232)(102, 222, 117, 237)(106, 226, 118, 238)(107, 227, 116, 236)(113, 233, 120, 240)(241, 361, 243, 363, 245, 365)(242, 362, 247, 367, 249, 369)(244, 364, 254, 374, 256, 376)(246, 366, 260, 380, 261, 381)(248, 368, 265, 385, 267, 387)(250, 370, 271, 391, 272, 392)(251, 371, 273, 393, 275, 395)(252, 372, 276, 396, 278, 398)(253, 373, 279, 399, 280, 400)(255, 375, 284, 404, 285, 405)(257, 377, 289, 409, 291, 411)(258, 378, 292, 412, 294, 414)(259, 379, 295, 415, 296, 416)(262, 382, 299, 419, 301, 421)(263, 383, 302, 422, 288, 408)(264, 384, 303, 423, 304, 424)(266, 386, 307, 427, 308, 428)(268, 388, 311, 431, 313, 433)(269, 389, 277, 397, 315, 435)(270, 390, 282, 402, 316, 436)(274, 394, 297, 417, 319, 439)(281, 401, 326, 446, 329, 449)(283, 403, 330, 450, 327, 447)(286, 406, 332, 452, 298, 418)(287, 407, 290, 410, 328, 448)(293, 413, 336, 456, 321, 441)(300, 420, 317, 437, 339, 459)(305, 425, 333, 453, 347, 467)(306, 426, 348, 468, 334, 454)(309, 429, 349, 469, 318, 438)(310, 430, 312, 432, 346, 466)(314, 434, 331, 451, 341, 461)(320, 440, 353, 473, 335, 455)(322, 442, 324, 444, 356, 476)(323, 443, 337, 457, 357, 477)(325, 445, 358, 478, 338, 458)(340, 460, 360, 480, 350, 470)(342, 462, 344, 464, 359, 479)(343, 463, 351, 471, 354, 474)(345, 465, 355, 475, 352, 472)
	L = (1, 244)(2, 248)(3, 252)(4, 255)(5, 258)(6, 241)(7, 263)(8, 266)(9, 269)(10, 242)(11, 274)(12, 277)(13, 243)(14, 282)(15, 246)(16, 287)(17, 290)(18, 293)(19, 245)(20, 268)(21, 262)(22, 300)(23, 292)(24, 247)(25, 295)(26, 250)(27, 310)(28, 312)(29, 314)(30, 249)(31, 257)(32, 251)(33, 283)(34, 318)(35, 321)(36, 324)(37, 253)(38, 267)(39, 320)(40, 313)(41, 280)(42, 273)(43, 254)(44, 309)(45, 305)(46, 333)(47, 334)(48, 256)(49, 325)(50, 317)(51, 285)(52, 264)(53, 259)(54, 319)(55, 299)(56, 335)(57, 260)(58, 261)(59, 306)(60, 298)(61, 341)(62, 344)(63, 340)(64, 291)(65, 304)(66, 265)(67, 286)(68, 281)(69, 326)(70, 327)(71, 345)(72, 297)(73, 308)(74, 270)(75, 339)(76, 350)(77, 271)(78, 272)(79, 351)(80, 354)(81, 355)(82, 275)(83, 296)(84, 289)(85, 276)(86, 331)(87, 278)(88, 279)(89, 348)(90, 359)(91, 284)(92, 343)(93, 336)(94, 288)(95, 349)(96, 307)(97, 352)(98, 294)(99, 337)(100, 357)(101, 358)(102, 301)(103, 316)(104, 311)(105, 302)(106, 303)(107, 330)(108, 356)(109, 323)(110, 332)(111, 338)(112, 315)(113, 347)(114, 328)(115, 322)(116, 360)(117, 346)(118, 342)(119, 353)(120, 329)(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, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E26.1280
Graph:: simple bipartite
	v = 100 e = 240 f = 90
	degree seq :: [ 4^60, 6^40 ]

E26.1273 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y2^-1 * Y3^-2 * Y1 * Y2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y1 * Y2^-1 * Y1 * Y3, (Y3^-2 * Y2)^2, Y3^6, Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y3 * Y2, (Y3^-1 * Y2^-1 * Y3 * Y1)^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122)(3, 123, 11, 131)(4, 124, 10, 130)(5, 125, 17, 137)(6, 126, 8, 128)(7, 127, 23, 143)(9, 129, 29, 149)(12, 132, 37, 157)(13, 133, 36, 156)(14, 134, 26, 146)(15, 135, 34, 154)(16, 136, 47, 167)(18, 138, 52, 172)(19, 139, 31, 151)(20, 140, 58, 178)(21, 141, 60, 180)(22, 142, 27, 147)(24, 144, 65, 185)(25, 145, 64, 184)(28, 148, 71, 191)(30, 150, 74, 194)(32, 152, 79, 199)(33, 153, 81, 201)(35, 155, 73, 193)(38, 158, 62, 182)(39, 159, 84, 204)(40, 160, 90, 210)(41, 161, 92, 212)(42, 162, 93, 213)(43, 163, 51, 171)(44, 164, 69, 189)(45, 165, 57, 177)(46, 166, 70, 190)(48, 168, 99, 219)(49, 169, 83, 203)(50, 170, 63, 183)(53, 173, 78, 198)(54, 174, 76, 196)(55, 175, 96, 216)(56, 176, 75, 195)(59, 179, 82, 202)(61, 181, 80, 200)(66, 186, 110, 230)(67, 187, 112, 232)(68, 188, 113, 233)(72, 192, 116, 236)(77, 197, 115, 235)(85, 205, 106, 226)(86, 206, 117, 237)(87, 207, 120, 240)(88, 208, 111, 231)(89, 209, 101, 221)(91, 211, 109, 229)(94, 214, 119, 239)(95, 215, 105, 225)(97, 217, 98, 218)(100, 220, 107, 227)(102, 222, 118, 238)(103, 223, 114, 234)(104, 224, 108, 228)(241, 361, 243, 363, 245, 365)(242, 362, 247, 367, 249, 369)(244, 364, 254, 374, 256, 376)(246, 366, 260, 380, 261, 381)(248, 368, 266, 386, 268, 388)(250, 370, 272, 392, 273, 393)(251, 371, 275, 395, 267, 387)(252, 372, 278, 398, 280, 400)(253, 373, 281, 401, 282, 402)(255, 375, 263, 383, 283, 403)(257, 377, 290, 410, 291, 411)(258, 378, 293, 413, 295, 415)(259, 379, 296, 416, 297, 417)(262, 382, 294, 414, 303, 423)(264, 384, 289, 409, 306, 426)(265, 385, 307, 427, 308, 428)(269, 389, 279, 399, 313, 433)(270, 390, 315, 435, 317, 437)(271, 391, 318, 438, 284, 404)(274, 394, 316, 436, 324, 444)(276, 396, 302, 422, 326, 446)(277, 397, 327, 447, 328, 448)(285, 405, 334, 454, 336, 456)(286, 406, 319, 439, 337, 457)(287, 407, 300, 420, 338, 458)(288, 408, 340, 460, 331, 451)(292, 412, 342, 462, 343, 463)(298, 418, 345, 465, 310, 430)(299, 419, 325, 445, 344, 464)(301, 421, 330, 450, 333, 453)(304, 424, 323, 443, 347, 467)(305, 425, 348, 468, 349, 469)(309, 429, 354, 474, 355, 475)(311, 431, 321, 441, 335, 455)(312, 432, 357, 477, 351, 471)(314, 434, 358, 478, 359, 479)(320, 440, 329, 449, 360, 480)(322, 442, 350, 470, 353, 473)(332, 452, 356, 476, 341, 461)(339, 459, 346, 466, 352, 472)
	L = (1, 244)(2, 248)(3, 252)(4, 255)(5, 258)(6, 241)(7, 264)(8, 267)(9, 270)(10, 242)(11, 276)(12, 279)(13, 243)(14, 284)(15, 286)(16, 288)(17, 271)(18, 294)(19, 245)(20, 299)(21, 301)(22, 246)(23, 304)(24, 290)(25, 247)(26, 297)(27, 310)(28, 312)(29, 259)(30, 316)(31, 249)(32, 320)(33, 322)(34, 250)(35, 265)(36, 291)(37, 251)(38, 268)(39, 329)(40, 331)(41, 306)(42, 334)(43, 253)(44, 335)(45, 254)(46, 262)(47, 323)(48, 260)(49, 256)(50, 325)(51, 341)(52, 257)(53, 326)(54, 314)(55, 340)(56, 308)(57, 338)(58, 339)(59, 321)(60, 278)(61, 319)(62, 261)(63, 305)(64, 313)(65, 263)(66, 351)(67, 280)(68, 354)(69, 266)(70, 274)(71, 302)(72, 272)(73, 346)(74, 269)(75, 347)(76, 292)(77, 357)(78, 282)(79, 356)(80, 300)(81, 289)(82, 298)(83, 273)(84, 277)(85, 275)(86, 355)(87, 359)(88, 350)(89, 283)(90, 352)(91, 281)(92, 349)(93, 293)(94, 360)(95, 342)(96, 348)(97, 285)(98, 358)(99, 287)(100, 296)(101, 324)(102, 337)(103, 353)(104, 295)(105, 309)(106, 303)(107, 336)(108, 343)(109, 330)(110, 332)(111, 307)(112, 328)(113, 315)(114, 344)(115, 327)(116, 311)(117, 318)(118, 345)(119, 333)(120, 317)(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, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E26.1282
Graph:: simple bipartite
	v = 100 e = 240 f = 90
	degree seq :: [ 4^60, 6^40 ]

E26.1274 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y3^6, (Y1 * Y3 * Y2)^2, Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1, (Y3^2 * Y2^-1)^2, Y3^6, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^3 * Y1 * Y2^-1 * Y1, (Y3^-1 * Y2 * Y3^-1 * Y2^-1)^2, Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1, Y3^-3 * Y2 * Y3 * Y2 * Y1 * Y2^-1, Y2 * Y3 * Y2 * Y3^2 * Y1 * Y2 * Y3, Y3^-1 * Y2^-1 * Y3 * Y1 * Y2 * Y3^2 * Y1, Y3^2 * Y2 * Y3^2 * Y2^-1 * Y3^-2 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122)(3, 123, 11, 131)(4, 124, 10, 130)(5, 125, 17, 137)(6, 126, 8, 128)(7, 127, 23, 143)(9, 129, 29, 149)(12, 132, 37, 157)(13, 133, 28, 148)(14, 134, 31, 151)(15, 135, 34, 154)(16, 136, 25, 145)(18, 138, 50, 170)(19, 139, 26, 146)(20, 140, 57, 177)(21, 141, 59, 179)(22, 142, 27, 147)(24, 144, 65, 185)(30, 150, 78, 198)(32, 152, 85, 205)(33, 153, 87, 207)(35, 155, 91, 211)(36, 156, 93, 213)(38, 158, 95, 215)(39, 159, 86, 206)(40, 160, 69, 189)(41, 161, 68, 188)(42, 162, 81, 201)(43, 163, 75, 195)(44, 164, 84, 204)(45, 165, 89, 209)(46, 166, 74, 194)(47, 167, 71, 191)(48, 168, 105, 225)(49, 169, 107, 227)(51, 171, 109, 229)(52, 172, 101, 221)(53, 173, 70, 190)(54, 174, 112, 232)(55, 175, 102, 222)(56, 176, 72, 192)(58, 178, 67, 187)(60, 180, 90, 210)(61, 181, 73, 193)(62, 182, 88, 208)(63, 183, 115, 235)(64, 184, 98, 218)(66, 186, 110, 230)(76, 196, 111, 231)(77, 197, 113, 233)(79, 199, 106, 226)(80, 200, 118, 238)(82, 202, 108, 228)(83, 203, 96, 216)(92, 212, 114, 234)(94, 214, 119, 239)(97, 217, 103, 223)(99, 219, 116, 236)(100, 220, 120, 240)(104, 224, 117, 237)(241, 361, 243, 363, 245, 365)(242, 362, 247, 367, 249, 369)(244, 364, 254, 374, 256, 376)(246, 366, 260, 380, 261, 381)(248, 368, 266, 386, 268, 388)(250, 370, 272, 392, 273, 393)(251, 371, 275, 395, 276, 396)(252, 372, 278, 398, 280, 400)(253, 373, 281, 401, 282, 402)(255, 375, 285, 405, 283, 403)(257, 377, 288, 408, 289, 409)(258, 378, 291, 411, 293, 413)(259, 379, 294, 414, 295, 415)(262, 382, 292, 412, 302, 422)(263, 383, 303, 423, 304, 424)(264, 384, 306, 426, 308, 428)(265, 385, 309, 429, 310, 430)(267, 387, 313, 433, 311, 431)(269, 389, 316, 436, 317, 437)(270, 390, 319, 439, 321, 441)(271, 391, 322, 442, 323, 443)(274, 394, 320, 440, 330, 450)(277, 397, 336, 456, 337, 457)(279, 399, 338, 458, 296, 416)(284, 404, 341, 461, 340, 460)(286, 406, 335, 455, 318, 438)(287, 407, 344, 464, 339, 459)(290, 410, 314, 434, 350, 470)(297, 417, 346, 466, 343, 463)(298, 418, 329, 449, 345, 465)(299, 419, 348, 468, 354, 474)(300, 420, 355, 475, 347, 467)(301, 421, 351, 471, 326, 446)(305, 425, 342, 462, 334, 454)(307, 427, 333, 453, 324, 444)(312, 432, 358, 478, 357, 477)(315, 435, 360, 480, 356, 476)(325, 445, 349, 469, 359, 479)(327, 447, 352, 472, 332, 452)(328, 448, 331, 451, 353, 473)
	L = (1, 244)(2, 248)(3, 252)(4, 255)(5, 258)(6, 241)(7, 264)(8, 267)(9, 270)(10, 242)(11, 268)(12, 279)(13, 243)(14, 284)(15, 286)(16, 287)(17, 266)(18, 292)(19, 245)(20, 298)(21, 300)(22, 246)(23, 256)(24, 307)(25, 247)(26, 312)(27, 314)(28, 315)(29, 254)(30, 320)(31, 249)(32, 326)(33, 328)(34, 250)(35, 332)(36, 334)(37, 251)(38, 330)(39, 325)(40, 339)(41, 303)(42, 316)(43, 253)(44, 342)(45, 343)(46, 262)(47, 260)(48, 346)(49, 348)(50, 257)(51, 351)(52, 323)(53, 344)(54, 353)(55, 324)(56, 259)(57, 311)(58, 305)(59, 313)(60, 335)(61, 261)(62, 327)(63, 354)(64, 337)(65, 263)(66, 302)(67, 297)(68, 356)(69, 275)(70, 288)(71, 265)(72, 336)(73, 359)(74, 274)(75, 272)(76, 349)(77, 352)(78, 269)(79, 345)(80, 295)(81, 360)(82, 347)(83, 296)(84, 271)(85, 283)(86, 277)(87, 285)(88, 350)(89, 273)(90, 299)(91, 280)(92, 355)(93, 278)(94, 301)(95, 276)(96, 341)(97, 329)(98, 306)(99, 281)(100, 282)(101, 290)(102, 358)(103, 338)(104, 294)(105, 293)(106, 317)(107, 291)(108, 340)(109, 289)(110, 304)(111, 321)(112, 357)(113, 319)(114, 331)(115, 308)(116, 309)(117, 310)(118, 318)(119, 333)(120, 322)(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, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E26.1278
Graph:: simple bipartite
	v = 100 e = 240 f = 90
	degree seq :: [ 4^60, 6^40 ]

E26.1275 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y1 * Y2^-1 * Y3^-1)^2, (R * Y2 * Y3^-1)^2, Y3^6, (Y3 * Y2^-1 * Y1)^2, Y3^-1 * Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y2, Y1 * Y2^-1 * Y3 * Y1 * Y3^-1 * Y2 * Y3^2, (Y2 * Y1)^4, Y2^-1 * Y1 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3^-2 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122)(3, 123, 11, 131)(4, 124, 10, 130)(5, 125, 17, 137)(6, 126, 8, 128)(7, 127, 23, 143)(9, 129, 29, 149)(12, 132, 37, 157)(13, 133, 28, 148)(14, 134, 31, 151)(15, 135, 34, 154)(16, 136, 25, 145)(18, 138, 51, 171)(19, 139, 26, 146)(20, 140, 58, 178)(21, 141, 61, 181)(22, 142, 27, 147)(24, 144, 68, 188)(30, 150, 79, 199)(32, 152, 83, 203)(33, 153, 85, 205)(35, 155, 78, 198)(36, 156, 90, 210)(38, 158, 48, 168)(39, 159, 87, 207)(40, 160, 89, 209)(41, 161, 45, 165)(42, 162, 96, 216)(43, 163, 76, 196)(44, 164, 54, 174)(46, 166, 74, 194)(47, 167, 56, 176)(49, 169, 105, 225)(50, 170, 66, 186)(52, 172, 94, 214)(53, 173, 88, 208)(55, 175, 92, 212)(57, 177, 72, 192)(59, 179, 84, 204)(60, 180, 75, 195)(62, 182, 86, 206)(63, 183, 73, 193)(64, 184, 69, 189)(65, 185, 81, 201)(67, 187, 93, 213)(70, 190, 107, 227)(71, 191, 111, 231)(77, 197, 102, 222)(80, 200, 110, 230)(82, 202, 109, 229)(91, 211, 118, 238)(95, 215, 101, 221)(97, 217, 119, 239)(98, 218, 115, 235)(99, 219, 103, 223)(100, 220, 116, 236)(104, 224, 113, 233)(106, 226, 114, 234)(108, 228, 117, 237)(112, 232, 120, 240)(241, 361, 243, 363, 245, 365)(242, 362, 247, 367, 249, 369)(244, 364, 254, 374, 256, 376)(246, 366, 260, 380, 261, 381)(248, 368, 266, 386, 268, 388)(250, 370, 272, 392, 273, 393)(251, 371, 275, 395, 276, 396)(252, 372, 278, 398, 280, 400)(253, 373, 281, 401, 282, 402)(255, 375, 285, 405, 287, 407)(257, 377, 289, 409, 290, 410)(258, 378, 292, 412, 294, 414)(259, 379, 295, 415, 296, 416)(262, 382, 304, 424, 305, 425)(263, 383, 306, 426, 307, 427)(264, 384, 283, 403, 310, 430)(265, 385, 303, 423, 311, 431)(267, 387, 313, 433, 315, 435)(269, 389, 317, 437, 318, 438)(270, 390, 320, 440, 297, 417)(271, 391, 322, 442, 300, 420)(274, 394, 327, 447, 328, 448)(277, 397, 302, 422, 331, 451)(279, 399, 332, 452, 301, 421)(284, 404, 339, 459, 340, 460)(286, 406, 342, 462, 333, 453)(288, 408, 344, 464, 335, 455)(291, 411, 337, 457, 299, 419)(293, 413, 298, 418, 336, 456)(308, 428, 326, 446, 348, 468)(309, 429, 349, 469, 325, 445)(312, 432, 343, 463, 354, 474)(314, 434, 345, 465, 330, 450)(316, 436, 355, 475, 341, 461)(319, 439, 352, 472, 324, 444)(321, 441, 323, 443, 351, 471)(329, 449, 338, 458, 357, 477)(334, 454, 360, 480, 346, 466)(347, 467, 353, 473, 358, 478)(350, 470, 359, 479, 356, 476)
	L = (1, 244)(2, 248)(3, 252)(4, 255)(5, 258)(6, 241)(7, 264)(8, 267)(9, 270)(10, 242)(11, 268)(12, 279)(13, 243)(14, 284)(15, 286)(16, 288)(17, 266)(18, 293)(19, 245)(20, 299)(21, 302)(22, 246)(23, 256)(24, 309)(25, 247)(26, 312)(27, 314)(28, 316)(29, 254)(30, 321)(31, 249)(32, 324)(33, 326)(34, 250)(35, 320)(36, 304)(37, 251)(38, 265)(39, 333)(40, 334)(41, 273)(42, 337)(43, 253)(44, 289)(45, 341)(46, 262)(47, 343)(48, 276)(49, 305)(50, 310)(51, 257)(52, 329)(53, 342)(54, 271)(55, 331)(56, 272)(57, 259)(58, 315)(59, 323)(60, 260)(61, 313)(62, 325)(63, 261)(64, 308)(65, 319)(66, 292)(67, 327)(68, 263)(69, 330)(70, 350)(71, 352)(72, 317)(73, 335)(74, 274)(75, 339)(76, 307)(77, 328)(78, 280)(79, 269)(80, 347)(81, 345)(82, 348)(83, 287)(84, 298)(85, 285)(86, 301)(87, 277)(88, 291)(89, 275)(90, 278)(91, 359)(92, 354)(93, 283)(94, 290)(95, 281)(96, 355)(97, 358)(98, 282)(99, 296)(100, 353)(101, 303)(102, 297)(103, 300)(104, 356)(105, 294)(106, 295)(107, 306)(108, 360)(109, 340)(110, 318)(111, 344)(112, 357)(113, 311)(114, 338)(115, 346)(116, 322)(117, 349)(118, 332)(119, 336)(120, 351)(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, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E26.1281
Graph:: simple bipartite
	v = 100 e = 240 f = 90
	degree seq :: [ 4^60, 6^40 ]

E26.1276 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1 * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y1)^3, Y3 * Y2 * Y3^-1 * Y2 * Y1 * Y2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2^-1, (Y2 * Y1)^3, Y3^6, Y3^-2 * Y2 * Y3^2 * Y2^-1 * Y1 * Y2^-1, Y3^-1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y3 * Y2^-1, (Y2^-1 * Y3^3)^2, (Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122)(3, 123, 11, 131)(4, 124, 10, 130)(5, 125, 17, 137)(6, 126, 8, 128)(7, 127, 23, 143)(9, 129, 29, 149)(12, 132, 36, 156)(13, 133, 26, 146)(14, 134, 25, 145)(15, 135, 34, 154)(16, 136, 31, 151)(18, 138, 48, 168)(19, 139, 28, 148)(20, 140, 52, 172)(21, 141, 39, 159)(22, 142, 27, 147)(24, 144, 60, 180)(30, 150, 70, 190)(32, 152, 73, 193)(33, 153, 62, 182)(35, 155, 47, 167)(37, 157, 80, 200)(38, 158, 81, 201)(40, 160, 51, 171)(41, 161, 65, 185)(42, 162, 64, 184)(43, 163, 76, 196)(44, 164, 67, 187)(45, 165, 78, 198)(46, 166, 74, 194)(49, 169, 96, 216)(50, 170, 79, 199)(53, 173, 69, 189)(54, 174, 77, 197)(55, 175, 66, 186)(56, 176, 75, 195)(57, 177, 68, 188)(58, 178, 71, 191)(59, 179, 61, 181)(63, 183, 72, 192)(82, 202, 116, 236)(83, 203, 111, 231)(84, 204, 99, 219)(85, 205, 109, 229)(86, 206, 102, 222)(87, 207, 101, 221)(88, 208, 100, 220)(89, 209, 98, 218)(90, 210, 107, 227)(91, 211, 108, 228)(92, 212, 112, 232)(93, 213, 106, 226)(94, 214, 114, 234)(95, 215, 110, 230)(97, 217, 120, 240)(103, 223, 104, 224)(105, 225, 118, 238)(113, 233, 115, 235)(117, 237, 119, 239)(241, 361, 243, 363, 245, 365)(242, 362, 247, 367, 249, 369)(244, 364, 254, 374, 256, 376)(246, 366, 260, 380, 261, 381)(248, 368, 266, 386, 268, 388)(250, 370, 272, 392, 273, 393)(251, 371, 269, 389, 275, 395)(252, 372, 270, 390, 278, 398)(253, 373, 279, 399, 280, 400)(255, 375, 283, 403, 285, 405)(257, 377, 287, 407, 263, 383)(258, 378, 289, 409, 264, 384)(259, 379, 291, 411, 292, 412)(262, 382, 298, 418, 299, 419)(265, 385, 302, 422, 303, 423)(267, 387, 306, 426, 308, 428)(271, 391, 312, 432, 313, 433)(274, 394, 319, 439, 320, 440)(276, 396, 322, 442, 323, 443)(277, 397, 324, 444, 316, 436)(281, 401, 329, 449, 314, 434)(282, 402, 317, 437, 331, 451)(284, 404, 332, 452, 325, 445)(286, 406, 334, 454, 315, 435)(288, 408, 333, 453, 337, 457)(290, 410, 318, 438, 339, 459)(293, 413, 304, 424, 342, 462)(294, 414, 309, 429, 327, 447)(295, 415, 301, 421, 343, 463)(296, 416, 340, 460, 305, 425)(297, 417, 344, 464, 311, 431)(300, 420, 345, 465, 346, 466)(307, 427, 350, 470, 347, 467)(310, 430, 351, 471, 353, 473)(321, 441, 355, 475, 356, 476)(326, 446, 348, 468, 341, 461)(328, 448, 354, 474, 338, 458)(330, 450, 357, 477, 352, 472)(335, 455, 349, 469, 359, 479)(336, 456, 360, 480, 358, 478)
	L = (1, 244)(2, 248)(3, 252)(4, 255)(5, 258)(6, 241)(7, 264)(8, 267)(9, 270)(10, 242)(11, 266)(12, 277)(13, 243)(14, 282)(15, 284)(16, 286)(17, 268)(18, 290)(19, 245)(20, 294)(21, 296)(22, 246)(23, 254)(24, 301)(25, 247)(26, 305)(27, 307)(28, 309)(29, 256)(30, 311)(31, 249)(32, 315)(33, 317)(34, 250)(35, 289)(36, 251)(37, 325)(38, 326)(39, 308)(40, 327)(41, 253)(42, 330)(43, 323)(44, 262)(45, 333)(46, 335)(47, 278)(48, 257)(49, 338)(50, 332)(51, 340)(52, 306)(53, 259)(54, 302)(55, 260)(56, 313)(57, 261)(58, 310)(59, 300)(60, 263)(61, 347)(62, 285)(63, 334)(64, 265)(65, 349)(66, 346)(67, 274)(68, 351)(69, 352)(70, 269)(71, 350)(72, 331)(73, 283)(74, 271)(75, 279)(76, 272)(77, 292)(78, 273)(79, 288)(80, 276)(81, 275)(82, 341)(83, 297)(84, 337)(85, 281)(86, 357)(87, 356)(88, 280)(89, 336)(90, 299)(91, 355)(92, 293)(93, 295)(94, 358)(95, 298)(96, 287)(97, 328)(98, 359)(99, 322)(100, 360)(101, 291)(102, 321)(103, 353)(104, 345)(105, 354)(106, 318)(107, 304)(108, 303)(109, 320)(110, 314)(111, 316)(112, 319)(113, 348)(114, 312)(115, 344)(116, 324)(117, 329)(118, 343)(119, 342)(120, 339)(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, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E26.1277
Graph:: simple bipartite
	v = 100 e = 240 f = 90
	degree seq :: [ 4^60, 6^40 ]

E26.1277 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y2 * Y3)^2, Y1^4, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1 * Y3^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-1 * Y2 * Y1 * Y2 * Y3^-1, (Y2 * Y1)^3, Y3^6, (Y3^-1 * Y1^-1)^3, (Y3^-1, Y1^-1)^2, Y3^3 * Y1^-1 * Y2 * Y1 * Y3^-1 * Y2, (Y3^-2 * Y2 * Y1^-1)^2, Y3 * Y1^-2 * Y3 * Y1^-1 * Y3 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122, 7, 127, 5, 125)(3, 123, 11, 131, 37, 157, 13, 133)(4, 124, 15, 135, 46, 166, 17, 137)(6, 126, 21, 141, 47, 167, 22, 142)(8, 128, 27, 147, 23, 143, 29, 149)(9, 129, 31, 151, 77, 197, 33, 153)(10, 130, 34, 154, 78, 198, 35, 155)(12, 132, 39, 159, 79, 199, 41, 161)(14, 134, 43, 163, 89, 209, 44, 164)(16, 136, 24, 144, 62, 182, 36, 156)(18, 138, 45, 165, 69, 189, 32, 152)(19, 139, 56, 176, 93, 213, 57, 177)(20, 140, 58, 178, 100, 220, 48, 168)(25, 145, 65, 185, 109, 229, 66, 186)(26, 146, 67, 187, 110, 230, 68, 188)(28, 148, 71, 191, 111, 231, 73, 193)(30, 150, 75, 195, 114, 234, 76, 196)(38, 158, 88, 208, 61, 181, 81, 201)(40, 160, 87, 207, 105, 225, 72, 192)(42, 162, 95, 215, 52, 172, 96, 216)(49, 169, 101, 221, 54, 174, 83, 203)(50, 170, 99, 219, 59, 179, 92, 212)(51, 171, 91, 211, 117, 237, 97, 217)(53, 173, 102, 222, 106, 226, 63, 183)(55, 175, 103, 223, 115, 235, 98, 218)(60, 180, 70, 190, 113, 233, 86, 206)(64, 184, 107, 227, 90, 210, 108, 228)(74, 194, 118, 238, 82, 202, 119, 239)(80, 200, 120, 240, 84, 204, 116, 236)(85, 205, 104, 224, 94, 214, 112, 232)(241, 361, 243, 363)(242, 362, 248, 368)(244, 364, 254, 374)(245, 365, 258, 378)(246, 366, 252, 372)(247, 367, 264, 384)(249, 369, 270, 390)(250, 370, 268, 388)(251, 371, 272, 392)(253, 373, 267, 387)(255, 375, 287, 407)(256, 376, 285, 405)(257, 377, 291, 411)(259, 379, 295, 415)(260, 380, 294, 414)(261, 381, 299, 419)(262, 382, 284, 404)(263, 383, 280, 400)(265, 385, 304, 424)(266, 386, 303, 423)(269, 389, 302, 422)(271, 391, 318, 438)(273, 393, 321, 441)(274, 394, 324, 444)(275, 395, 316, 436)(276, 396, 312, 432)(277, 397, 327, 447)(278, 398, 320, 440)(279, 399, 329, 449)(281, 401, 332, 452)(282, 402, 310, 430)(283, 403, 337, 457)(286, 406, 339, 459)(288, 408, 338, 458)(289, 409, 334, 454)(290, 410, 331, 451)(292, 412, 307, 427)(293, 413, 330, 450)(296, 416, 340, 460)(297, 417, 325, 445)(298, 418, 322, 442)(300, 420, 306, 426)(301, 421, 315, 435)(305, 425, 350, 470)(308, 428, 348, 468)(309, 429, 345, 465)(311, 431, 354, 474)(313, 433, 356, 476)(314, 434, 344, 464)(317, 437, 360, 480)(319, 439, 357, 477)(323, 443, 355, 475)(326, 446, 347, 467)(328, 448, 351, 471)(333, 453, 358, 478)(335, 455, 349, 469)(336, 456, 346, 466)(341, 461, 359, 479)(342, 462, 353, 473)(343, 463, 352, 472)
	L = (1, 244)(2, 249)(3, 252)(4, 256)(5, 259)(6, 241)(7, 265)(8, 268)(9, 272)(10, 242)(11, 270)(12, 280)(13, 282)(14, 243)(15, 288)(16, 290)(17, 292)(18, 294)(19, 269)(20, 245)(21, 300)(22, 301)(23, 246)(24, 303)(25, 253)(26, 247)(27, 304)(28, 312)(29, 314)(30, 248)(31, 262)(32, 320)(33, 322)(34, 325)(35, 326)(36, 250)(37, 260)(38, 251)(39, 306)(40, 331)(41, 333)(42, 309)(43, 338)(44, 318)(45, 254)(46, 315)(47, 334)(48, 337)(49, 255)(50, 263)(51, 330)(52, 261)(53, 257)(54, 327)(55, 258)(56, 308)(57, 324)(58, 321)(59, 307)(60, 329)(61, 339)(62, 295)(63, 345)(64, 264)(65, 275)(66, 299)(67, 291)(68, 352)(69, 266)(70, 267)(71, 297)(72, 278)(73, 286)(74, 277)(75, 284)(76, 350)(77, 347)(78, 357)(79, 271)(80, 276)(81, 355)(82, 274)(83, 273)(84, 298)(85, 354)(86, 360)(87, 344)(88, 346)(89, 293)(90, 279)(91, 285)(92, 289)(93, 283)(94, 281)(95, 359)(96, 351)(97, 358)(98, 287)(99, 356)(100, 353)(101, 349)(102, 296)(103, 348)(104, 302)(105, 310)(106, 317)(107, 316)(108, 340)(109, 343)(110, 328)(111, 305)(112, 335)(113, 341)(114, 323)(115, 311)(116, 319)(117, 313)(118, 332)(119, 342)(120, 336)(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, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E26.1276
Graph:: simple bipartite
	v = 90 e = 240 f = 100
	degree seq :: [ 4^60, 8^30 ]

E26.1278 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^4, (Y2 * Y3^-1)^2, (Y1^-1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y3^6, (Y1^-1 * R * Y2)^2, Y3^-1 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y2, (Y1^-1 * Y3^-1)^3, Y3^6, (R * Y2 * Y3^-1)^2, Y2 * Y1^-2 * Y2 * Y1 * Y3 * Y1^-2, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y3 * Y1^-2, Y3^3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y2 * Y1^-2, Y3^-1 * Y1^-1 * Y2 * Y3 * Y1 * Y3^-2 * Y1 * Y3 * Y1, Y3^-1 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122, 7, 127, 5, 125)(3, 123, 11, 131, 33, 153, 13, 133)(4, 124, 15, 135, 31, 151, 10, 130)(6, 126, 18, 138, 50, 170, 20, 140)(8, 128, 25, 145, 61, 181, 27, 147)(9, 129, 29, 149, 59, 179, 24, 144)(12, 132, 37, 157, 76, 196, 36, 156)(14, 134, 40, 160, 56, 176, 28, 148)(16, 136, 45, 165, 89, 209, 44, 164)(17, 137, 47, 167, 63, 183, 49, 169)(19, 139, 23, 143, 57, 177, 43, 163)(21, 141, 34, 154, 74, 194, 52, 172)(22, 142, 53, 173, 35, 155, 55, 175)(26, 146, 65, 185, 108, 228, 64, 184)(30, 150, 70, 190, 116, 236, 69, 189)(32, 152, 62, 182, 106, 226, 72, 192)(38, 158, 81, 201, 104, 224, 80, 200)(39, 159, 82, 202, 109, 229, 84, 204)(41, 161, 73, 193, 107, 227, 79, 199)(42, 162, 86, 206, 111, 231, 67, 187)(46, 166, 78, 198, 99, 219, 91, 211)(48, 168, 93, 213, 117, 237, 92, 212)(51, 171, 88, 208, 115, 235, 95, 215)(54, 174, 98, 218, 90, 210, 97, 217)(58, 178, 103, 223, 77, 197, 102, 222)(60, 180, 96, 216, 87, 207, 105, 225)(66, 186, 113, 233, 83, 203, 112, 232)(68, 188, 114, 234, 120, 240, 100, 220)(71, 191, 110, 230, 85, 205, 118, 238)(75, 195, 119, 239, 94, 214, 101, 221)(241, 361, 243, 363)(242, 362, 248, 368)(244, 364, 254, 374)(245, 365, 257, 377)(246, 366, 252, 372)(247, 367, 262, 382)(249, 369, 268, 388)(250, 370, 266, 386)(251, 371, 274, 394)(253, 373, 279, 399)(255, 375, 282, 402)(256, 376, 267, 387)(258, 378, 280, 400)(259, 379, 288, 408)(260, 380, 275, 395)(261, 381, 278, 398)(263, 383, 296, 416)(264, 384, 294, 414)(265, 385, 302, 422)(269, 389, 308, 428)(270, 390, 295, 415)(271, 391, 303, 423)(272, 392, 306, 426)(273, 393, 299, 419)(276, 396, 315, 435)(277, 397, 318, 438)(281, 401, 323, 443)(283, 403, 301, 421)(284, 404, 327, 447)(285, 405, 321, 441)(286, 406, 307, 427)(287, 407, 328, 448)(289, 409, 298, 418)(290, 410, 313, 433)(291, 411, 325, 445)(292, 412, 319, 439)(293, 413, 336, 456)(297, 417, 341, 461)(300, 420, 339, 459)(304, 424, 347, 467)(305, 425, 350, 470)(309, 429, 355, 475)(310, 430, 353, 473)(311, 431, 340, 460)(312, 432, 351, 471)(314, 434, 342, 462)(316, 436, 349, 469)(317, 437, 357, 477)(320, 440, 338, 458)(322, 442, 358, 478)(324, 444, 346, 466)(326, 446, 337, 457)(329, 449, 348, 468)(330, 450, 356, 476)(331, 451, 343, 463)(332, 452, 354, 474)(333, 453, 352, 472)(334, 454, 344, 464)(335, 455, 359, 479)(345, 465, 360, 480)
	L = (1, 244)(2, 249)(3, 252)(4, 256)(5, 258)(6, 241)(7, 263)(8, 266)(9, 270)(10, 242)(11, 275)(12, 278)(13, 280)(14, 243)(15, 283)(16, 286)(17, 288)(18, 279)(19, 245)(20, 274)(21, 246)(22, 294)(23, 298)(24, 247)(25, 303)(26, 306)(27, 254)(28, 248)(29, 260)(30, 311)(31, 302)(32, 250)(33, 313)(34, 315)(35, 308)(36, 251)(37, 319)(38, 307)(39, 323)(40, 257)(41, 253)(42, 327)(43, 328)(44, 255)(45, 312)(46, 261)(47, 301)(48, 325)(49, 296)(50, 299)(51, 259)(52, 318)(53, 273)(54, 339)(55, 268)(56, 262)(57, 271)(58, 344)(59, 336)(60, 264)(61, 282)(62, 347)(63, 341)(64, 265)(65, 351)(66, 340)(67, 267)(68, 355)(69, 269)(70, 345)(71, 272)(72, 350)(73, 346)(74, 349)(75, 357)(76, 342)(77, 276)(78, 338)(79, 358)(80, 277)(81, 343)(82, 292)(83, 291)(84, 290)(85, 281)(86, 348)(87, 356)(88, 354)(89, 337)(90, 284)(91, 285)(92, 287)(93, 359)(94, 289)(95, 352)(96, 326)(97, 293)(98, 360)(99, 334)(100, 295)(101, 314)(102, 297)(103, 335)(104, 300)(105, 320)(106, 329)(107, 316)(108, 324)(109, 304)(110, 333)(111, 321)(112, 305)(113, 322)(114, 330)(115, 317)(116, 332)(117, 309)(118, 310)(119, 331)(120, 353)(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, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E26.1274
Graph:: simple bipartite
	v = 90 e = 240 f = 100
	degree seq :: [ 4^60, 8^30 ]

E26.1279 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y2 * Y3)^2, (R * Y3)^2, Y1^4, (R * Y1)^2, Y3^4, (Y3^-1 * Y1^-1)^3, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y1, Y1^-1 * Y3 * Y1 * Y3^2 * Y1^-1 * Y2, Y3^2 * Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y2 * Y1, (Y3 * Y1^-1)^5 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122, 7, 127, 5, 125)(3, 123, 11, 131, 35, 155, 13, 133)(4, 124, 15, 135, 46, 166, 17, 137)(6, 126, 21, 141, 62, 182, 22, 142)(8, 128, 26, 146, 70, 190, 28, 148)(9, 129, 30, 150, 52, 172, 32, 152)(10, 130, 33, 153, 78, 198, 34, 154)(12, 132, 39, 159, 83, 203, 41, 161)(14, 134, 45, 165, 66, 186, 29, 149)(16, 136, 50, 170, 97, 217, 51, 171)(18, 138, 55, 175, 42, 162, 57, 177)(19, 139, 58, 178, 103, 223, 60, 180)(20, 140, 61, 181, 44, 164, 48, 168)(23, 143, 36, 156, 81, 201, 65, 185)(24, 144, 47, 167, 76, 196, 68, 188)(25, 145, 69, 189, 82, 202, 38, 158)(27, 147, 63, 183, 109, 229, 72, 192)(31, 151, 75, 195, 92, 212, 43, 163)(37, 157, 71, 191, 88, 208, 54, 174)(40, 160, 86, 206, 107, 227, 87, 207)(49, 169, 96, 216, 113, 233, 77, 197)(53, 173, 56, 176, 102, 222, 101, 221)(59, 179, 104, 224, 119, 239, 105, 225)(64, 184, 79, 199, 118, 238, 106, 226)(67, 187, 110, 230, 115, 235, 73, 193)(74, 194, 93, 213, 95, 215, 111, 231)(80, 200, 84, 204, 99, 219, 114, 234)(85, 205, 108, 228, 116, 236, 100, 220)(89, 209, 90, 210, 117, 237, 94, 214)(91, 211, 98, 218, 120, 240, 112, 232)(241, 361, 243, 363)(242, 362, 248, 368)(244, 364, 254, 374)(245, 365, 258, 378)(246, 366, 252, 372)(247, 367, 263, 383)(249, 369, 269, 389)(250, 370, 267, 387)(251, 371, 276, 396)(253, 373, 282, 402)(255, 375, 287, 407)(256, 376, 280, 400)(257, 377, 292, 412)(259, 379, 285, 405)(260, 380, 296, 416)(261, 381, 283, 403)(262, 382, 277, 397)(264, 384, 306, 426)(265, 385, 304, 424)(266, 386, 295, 415)(268, 388, 275, 395)(270, 390, 298, 418)(271, 391, 311, 431)(272, 392, 316, 436)(273, 393, 313, 433)(274, 394, 289, 409)(278, 398, 314, 434)(279, 399, 324, 444)(281, 401, 328, 448)(284, 404, 330, 450)(286, 406, 300, 420)(288, 408, 327, 447)(290, 410, 329, 449)(291, 411, 301, 421)(293, 413, 326, 446)(294, 414, 339, 459)(297, 417, 321, 441)(299, 419, 333, 453)(302, 422, 320, 440)(303, 423, 331, 451)(305, 425, 310, 430)(307, 427, 336, 456)(308, 428, 343, 463)(309, 429, 345, 465)(312, 432, 353, 473)(315, 435, 354, 474)(317, 437, 338, 458)(318, 438, 352, 472)(319, 439, 348, 468)(322, 442, 325, 445)(323, 443, 332, 452)(334, 454, 347, 467)(335, 455, 346, 466)(337, 457, 341, 461)(340, 460, 344, 464)(342, 462, 357, 477)(349, 469, 355, 475)(350, 470, 360, 480)(351, 471, 356, 476)(358, 478, 359, 479)
	L = (1, 244)(2, 249)(3, 252)(4, 256)(5, 259)(6, 241)(7, 264)(8, 267)(9, 271)(10, 242)(11, 277)(12, 280)(13, 283)(14, 243)(15, 288)(16, 246)(17, 293)(18, 296)(19, 299)(20, 245)(21, 282)(22, 276)(23, 304)(24, 307)(25, 247)(26, 289)(27, 311)(28, 313)(29, 248)(30, 262)(31, 250)(32, 281)(33, 275)(34, 295)(35, 320)(36, 314)(37, 298)(38, 251)(39, 301)(40, 254)(41, 329)(42, 330)(43, 331)(44, 253)(45, 258)(46, 334)(47, 274)(48, 266)(49, 255)(50, 328)(51, 324)(52, 339)(53, 340)(54, 257)(55, 327)(56, 333)(57, 291)(58, 278)(59, 260)(60, 346)(61, 321)(62, 268)(63, 261)(64, 336)(65, 345)(66, 263)(67, 265)(68, 312)(69, 310)(70, 352)(71, 269)(72, 354)(73, 348)(74, 270)(75, 353)(76, 338)(77, 272)(78, 305)(79, 273)(80, 319)(81, 325)(82, 297)(83, 341)(84, 322)(85, 279)(86, 292)(87, 287)(88, 316)(89, 317)(90, 303)(91, 284)(92, 355)(93, 285)(94, 350)(95, 286)(96, 306)(97, 332)(98, 290)(99, 344)(100, 294)(101, 358)(102, 309)(103, 356)(104, 326)(105, 357)(106, 360)(107, 300)(108, 302)(109, 323)(110, 335)(111, 308)(112, 342)(113, 343)(114, 351)(115, 359)(116, 315)(117, 318)(118, 349)(119, 337)(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) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E26.1271
Graph:: simple bipartite
	v = 90 e = 240 f = 100
	degree seq :: [ 4^60, 8^30 ]

E26.1280 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y2 * Y3^-1)^2, (Y3 * Y2)^2, (R * Y3)^2, Y1^4, Y3^4, (R * Y1)^2, (Y3^-1 * Y2 * Y1^-1)^2, Y2 * R * Y3^-2 * Y2 * R, (Y3^-1 * Y1^-1)^3, Y2 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3 * Y1, Y3^-1 * Y1^-1 * Y2 * Y1 * Y3 * Y1^-2, Y2 * Y1 * Y2 * Y1^2 * Y2 * Y1^-1, (Y3 * Y1^-2 * Y2)^2, Y2 * Y1^-1 * R * Y3 * Y1 * Y2 * Y1^-1 * R, (Y3 * Y1^-1)^5 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122, 7, 127, 5, 125)(3, 123, 11, 131, 35, 155, 13, 133)(4, 124, 15, 135, 46, 166, 17, 137)(6, 126, 21, 141, 58, 178, 22, 142)(8, 128, 26, 146, 36, 156, 28, 148)(9, 129, 30, 150, 37, 157, 32, 152)(10, 130, 33, 153, 77, 197, 34, 154)(12, 132, 39, 159, 65, 185, 27, 147)(14, 134, 44, 164, 87, 207, 45, 165)(16, 136, 48, 168, 93, 213, 49, 169)(18, 138, 51, 171, 96, 216, 52, 172)(19, 139, 54, 174, 99, 219, 56, 176)(20, 140, 57, 177, 59, 179, 47, 167)(23, 143, 64, 184, 70, 190, 41, 161)(24, 144, 42, 162, 71, 191, 68, 188)(25, 145, 69, 189, 102, 222, 62, 182)(29, 149, 61, 181, 108, 228, 74, 194)(31, 151, 75, 195, 114, 234, 76, 196)(38, 158, 83, 203, 100, 220, 55, 175)(40, 160, 73, 193, 78, 198, 85, 205)(43, 163, 60, 180, 88, 208, 84, 204)(50, 170, 53, 173, 98, 218, 95, 215)(63, 183, 103, 223, 115, 235, 109, 229)(66, 186, 79, 199, 118, 238, 101, 221)(67, 187, 97, 217, 120, 240, 110, 230)(72, 192, 86, 206, 111, 231, 104, 224)(80, 200, 119, 239, 106, 226, 90, 210)(81, 201, 89, 209, 105, 225, 112, 232)(82, 202, 113, 233, 117, 237, 94, 214)(91, 211, 107, 227, 116, 236, 92, 212)(241, 361, 243, 363)(242, 362, 248, 368)(244, 364, 254, 374)(245, 365, 258, 378)(246, 366, 252, 372)(247, 367, 263, 383)(249, 369, 269, 389)(250, 370, 267, 387)(251, 371, 276, 396)(253, 373, 281, 401)(255, 375, 283, 403)(256, 376, 280, 400)(257, 377, 278, 398)(259, 379, 293, 413)(260, 380, 279, 399)(261, 381, 299, 419)(262, 382, 302, 422)(264, 384, 306, 426)(265, 385, 305, 425)(266, 386, 310, 430)(268, 388, 292, 412)(270, 390, 313, 433)(271, 391, 312, 432)(272, 392, 288, 408)(273, 393, 298, 418)(274, 394, 287, 407)(275, 395, 291, 411)(277, 397, 321, 441)(282, 402, 326, 446)(284, 404, 328, 448)(285, 405, 330, 450)(286, 406, 320, 440)(289, 409, 329, 449)(290, 410, 322, 442)(294, 414, 303, 423)(295, 415, 324, 444)(296, 416, 337, 457)(297, 417, 342, 462)(300, 420, 346, 466)(301, 421, 325, 445)(304, 424, 336, 456)(307, 427, 349, 469)(308, 428, 315, 435)(309, 429, 317, 437)(311, 431, 331, 451)(314, 434, 352, 472)(316, 436, 347, 467)(318, 438, 345, 465)(319, 439, 344, 464)(323, 443, 327, 447)(332, 452, 341, 461)(333, 453, 348, 468)(334, 454, 343, 463)(335, 455, 360, 480)(338, 458, 355, 475)(339, 459, 353, 473)(340, 460, 359, 479)(350, 470, 357, 477)(351, 471, 356, 476)(354, 474, 358, 478)
	L = (1, 244)(2, 249)(3, 252)(4, 256)(5, 259)(6, 241)(7, 264)(8, 267)(9, 271)(10, 242)(11, 277)(12, 280)(13, 282)(14, 243)(15, 287)(16, 246)(17, 290)(18, 279)(19, 295)(20, 245)(21, 300)(22, 303)(23, 305)(24, 307)(25, 247)(26, 311)(27, 312)(28, 294)(29, 248)(30, 262)(31, 250)(32, 285)(33, 318)(34, 283)(35, 296)(36, 257)(37, 322)(38, 251)(39, 324)(40, 254)(41, 255)(42, 274)(43, 253)(44, 297)(45, 331)(46, 332)(47, 326)(48, 266)(49, 334)(50, 321)(51, 286)(52, 270)(53, 258)(54, 302)(55, 260)(56, 341)(57, 343)(58, 344)(59, 325)(60, 347)(61, 261)(62, 313)(63, 292)(64, 339)(65, 349)(66, 263)(67, 265)(68, 314)(69, 351)(70, 272)(71, 330)(72, 269)(73, 268)(74, 353)(75, 304)(76, 346)(77, 355)(78, 357)(79, 273)(80, 275)(81, 276)(82, 278)(83, 333)(84, 293)(85, 316)(86, 281)(87, 335)(88, 289)(89, 284)(90, 288)(91, 310)(92, 337)(93, 354)(94, 342)(95, 358)(96, 308)(97, 291)(98, 309)(99, 352)(100, 356)(101, 320)(102, 328)(103, 329)(104, 350)(105, 298)(106, 299)(107, 301)(108, 327)(109, 306)(110, 345)(111, 359)(112, 315)(113, 336)(114, 360)(115, 340)(116, 317)(117, 319)(118, 348)(119, 338)(120, 323)(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, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E26.1272
Graph:: simple bipartite
	v = 90 e = 240 f = 100
	degree seq :: [ 4^60, 8^30 ]

E26.1281 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y2 * Y3)^2, Y1^4, (R * Y1)^2, (R * Y3)^2, (Y1 * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, (R * Y2 * Y3^-1)^2, Y3^6, (Y3^2 * Y1^-1)^2, Y1 * Y3^-1 * Y2 * Y1 * Y3^2 * Y1, Y1^-1 * Y3 * Y1^-1 * Y2 * Y1 * Y3^-1 * Y1^-1, Y3^2 * Y1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2, (Y2 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122, 7, 127, 5, 125)(3, 123, 11, 131, 37, 157, 13, 133)(4, 124, 15, 135, 49, 169, 17, 137)(6, 126, 21, 141, 66, 186, 22, 142)(8, 128, 27, 147, 38, 158, 29, 149)(9, 129, 31, 151, 80, 200, 33, 153)(10, 130, 34, 154, 40, 160, 35, 155)(12, 132, 41, 161, 32, 152, 43, 163)(14, 134, 47, 167, 69, 189, 30, 150)(16, 136, 53, 173, 59, 179, 36, 156)(18, 138, 58, 178, 110, 230, 60, 180)(19, 139, 61, 181, 50, 170, 63, 183)(20, 140, 64, 184, 102, 222, 51, 171)(23, 143, 62, 182, 112, 232, 67, 187)(24, 144, 68, 188, 73, 193, 44, 164)(25, 145, 70, 190, 106, 226, 55, 175)(26, 146, 46, 166, 75, 195, 72, 192)(28, 148, 65, 185, 71, 191, 77, 197)(39, 159, 79, 199, 114, 234, 87, 207)(42, 162, 91, 211, 95, 215, 88, 208)(45, 165, 96, 216, 89, 209, 98, 218)(48, 168, 97, 217, 81, 201, 100, 220)(52, 172, 103, 223, 93, 213, 84, 204)(54, 174, 86, 206, 99, 219, 104, 224)(56, 176, 107, 227, 90, 210, 108, 228)(57, 177, 109, 229, 74, 194, 105, 225)(76, 196, 101, 221, 111, 231, 117, 237)(78, 198, 115, 235, 94, 214, 118, 238)(82, 202, 116, 236, 113, 233, 119, 239)(83, 203, 120, 240, 92, 212, 85, 205)(241, 361, 243, 363)(242, 362, 248, 368)(244, 364, 254, 374)(245, 365, 258, 378)(246, 366, 252, 372)(247, 367, 264, 384)(249, 369, 270, 390)(250, 370, 268, 388)(251, 371, 278, 398)(253, 373, 284, 404)(255, 375, 290, 410)(256, 376, 288, 408)(257, 377, 295, 415)(259, 379, 287, 407)(260, 380, 299, 419)(261, 381, 285, 405)(262, 382, 279, 399)(263, 383, 282, 402)(265, 385, 309, 429)(266, 386, 307, 427)(267, 387, 313, 433)(269, 389, 300, 420)(271, 391, 289, 409)(272, 392, 319, 439)(273, 393, 303, 423)(274, 394, 318, 438)(275, 395, 314, 434)(276, 396, 316, 436)(277, 397, 298, 418)(280, 400, 326, 446)(281, 401, 329, 449)(283, 403, 332, 452)(286, 406, 335, 455)(291, 411, 340, 460)(292, 412, 331, 451)(293, 413, 330, 450)(294, 414, 317, 437)(296, 416, 337, 457)(297, 417, 339, 459)(301, 421, 346, 466)(302, 422, 333, 453)(304, 424, 351, 471)(305, 425, 334, 454)(306, 426, 325, 445)(308, 428, 350, 470)(310, 430, 320, 440)(311, 431, 345, 465)(312, 432, 343, 463)(315, 435, 356, 476)(321, 441, 341, 461)(322, 442, 352, 472)(323, 443, 354, 474)(324, 444, 353, 473)(327, 447, 338, 458)(328, 448, 359, 479)(336, 456, 360, 480)(342, 462, 348, 468)(344, 464, 355, 475)(347, 467, 357, 477)(349, 469, 358, 478)
	L = (1, 244)(2, 249)(3, 252)(4, 256)(5, 259)(6, 241)(7, 265)(8, 268)(9, 272)(10, 242)(11, 279)(12, 282)(13, 285)(14, 243)(15, 291)(16, 294)(17, 296)(18, 299)(19, 302)(20, 245)(21, 284)(22, 278)(23, 246)(24, 307)(25, 311)(26, 247)(27, 314)(28, 316)(29, 318)(30, 248)(31, 262)(32, 322)(33, 323)(34, 300)(35, 313)(36, 250)(37, 325)(38, 326)(39, 289)(40, 251)(41, 266)(42, 317)(43, 333)(44, 335)(45, 337)(46, 253)(47, 258)(48, 254)(49, 341)(50, 331)(51, 277)(52, 255)(53, 345)(54, 263)(55, 339)(56, 261)(57, 257)(58, 340)(59, 334)(60, 351)(61, 312)(62, 332)(63, 353)(64, 269)(65, 260)(66, 298)(67, 329)(68, 343)(69, 264)(70, 275)(71, 330)(72, 350)(73, 356)(74, 320)(75, 267)(76, 352)(77, 288)(78, 354)(79, 270)(80, 338)(81, 271)(82, 276)(83, 274)(84, 273)(85, 344)(86, 359)(87, 310)(88, 280)(89, 293)(90, 281)(91, 355)(92, 305)(93, 287)(94, 283)(95, 297)(96, 342)(97, 295)(98, 357)(99, 286)(100, 290)(101, 328)(102, 308)(103, 346)(104, 292)(105, 309)(106, 358)(107, 327)(108, 360)(109, 301)(110, 348)(111, 324)(112, 319)(113, 304)(114, 303)(115, 306)(116, 347)(117, 315)(118, 336)(119, 321)(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) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E26.1275
Graph:: simple bipartite
	v = 90 e = 240 f = 100
	degree seq :: [ 4^60, 8^30 ]

E26.1282 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^4, (Y1^-1 * Y3)^2, (R * Y3)^2, (Y2 * Y3^-1)^2, (R * Y1)^2, Y3^6, (R * Y2 * Y3^-1)^2, (Y3 * Y1)^3, Y3^-1 * R * Y2 * R * Y2 * Y3^-1, Y2 * Y1 * Y2 * Y1^2 * Y2 * Y1^-1, Y3^3 * Y1^-1 * Y3^-1 * Y2 * Y1 * Y2, Y1^-2 * Y2 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122, 7, 127, 5, 125)(3, 123, 11, 131, 33, 153, 13, 133)(4, 124, 15, 135, 31, 151, 10, 130)(6, 126, 18, 138, 53, 173, 20, 140)(8, 128, 25, 145, 34, 154, 27, 147)(9, 129, 29, 149, 64, 184, 24, 144)(12, 132, 37, 157, 88, 208, 36, 156)(14, 134, 40, 160, 94, 214, 42, 162)(16, 136, 47, 167, 100, 220, 46, 166)(17, 137, 49, 169, 102, 222, 51, 171)(19, 139, 23, 143, 62, 182, 45, 165)(21, 141, 57, 177, 112, 232, 58, 178)(22, 142, 59, 179, 66, 186, 39, 159)(26, 146, 69, 189, 118, 238, 68, 188)(28, 148, 71, 191, 109, 229, 73, 193)(30, 150, 77, 197, 87, 207, 76, 196)(32, 152, 80, 200, 103, 223, 81, 201)(35, 155, 86, 206, 65, 185, 83, 203)(38, 158, 90, 210, 115, 235, 70, 190)(41, 161, 82, 202, 117, 237, 74, 194)(43, 163, 97, 217, 120, 240, 75, 195)(44, 164, 98, 218, 93, 213, 99, 219)(48, 168, 101, 221, 61, 181, 92, 212)(50, 170, 91, 211, 119, 239, 104, 224)(52, 172, 105, 225, 78, 198, 106, 226)(54, 174, 96, 216, 79, 199, 108, 228)(55, 175, 85, 205, 67, 187, 110, 230)(56, 176, 111, 231, 63, 183, 95, 215)(60, 180, 114, 234, 89, 209, 113, 233)(72, 192, 84, 204, 107, 227, 116, 236)(241, 361, 243, 363)(242, 362, 248, 368)(244, 364, 254, 374)(245, 365, 257, 377)(246, 366, 252, 372)(247, 367, 262, 382)(249, 369, 268, 388)(250, 370, 266, 386)(251, 371, 274, 394)(253, 373, 279, 399)(255, 375, 284, 404)(256, 376, 283, 403)(258, 378, 292, 412)(259, 379, 290, 410)(260, 380, 296, 416)(261, 381, 278, 398)(263, 383, 301, 421)(264, 384, 300, 420)(265, 385, 306, 426)(267, 387, 291, 411)(269, 389, 315, 435)(270, 390, 314, 434)(271, 391, 319, 439)(272, 392, 310, 430)(273, 393, 289, 409)(275, 395, 325, 445)(276, 396, 324, 444)(277, 397, 318, 438)(280, 400, 333, 453)(281, 401, 332, 452)(282, 402, 336, 456)(285, 405, 327, 447)(286, 406, 329, 449)(287, 407, 313, 433)(288, 408, 331, 451)(293, 413, 347, 467)(294, 414, 338, 458)(295, 415, 330, 450)(297, 417, 307, 427)(298, 418, 326, 446)(299, 419, 342, 462)(302, 422, 357, 477)(303, 423, 356, 476)(304, 424, 340, 460)(305, 425, 355, 475)(308, 428, 339, 459)(309, 429, 334, 454)(311, 431, 337, 457)(312, 432, 345, 465)(316, 436, 359, 479)(317, 437, 341, 461)(320, 440, 352, 472)(321, 441, 350, 470)(322, 442, 344, 464)(323, 443, 343, 463)(328, 448, 351, 471)(335, 455, 346, 466)(348, 468, 358, 478)(349, 469, 354, 474)(353, 473, 360, 480)
	L = (1, 244)(2, 249)(3, 252)(4, 256)(5, 258)(6, 241)(7, 263)(8, 266)(9, 270)(10, 242)(11, 275)(12, 278)(13, 280)(14, 243)(15, 285)(16, 288)(17, 290)(18, 294)(19, 245)(20, 297)(21, 246)(22, 300)(23, 303)(24, 247)(25, 307)(26, 310)(27, 311)(28, 248)(29, 260)(30, 318)(31, 320)(32, 250)(33, 322)(34, 324)(35, 327)(36, 251)(37, 314)(38, 331)(39, 332)(40, 335)(41, 253)(42, 337)(43, 254)(44, 329)(45, 325)(46, 255)(47, 321)(48, 261)(49, 343)(50, 330)(51, 345)(52, 257)(53, 304)(54, 349)(55, 259)(56, 315)(57, 306)(58, 341)(59, 352)(60, 355)(61, 262)(62, 271)(63, 334)(64, 323)(65, 264)(66, 339)(67, 296)(68, 265)(69, 356)(70, 277)(71, 336)(72, 267)(73, 281)(74, 268)(75, 359)(76, 269)(77, 326)(78, 272)(79, 357)(80, 342)(81, 346)(82, 348)(83, 273)(84, 286)(85, 274)(86, 282)(87, 284)(88, 353)(89, 276)(90, 354)(91, 283)(92, 287)(93, 279)(94, 305)(95, 350)(96, 298)(97, 291)(98, 292)(99, 316)(100, 347)(101, 312)(102, 360)(103, 340)(104, 289)(105, 317)(106, 333)(107, 358)(108, 293)(109, 295)(110, 313)(111, 302)(112, 319)(113, 299)(114, 338)(115, 309)(116, 301)(117, 328)(118, 344)(119, 308)(120, 351)(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, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E26.1273
Graph:: simple bipartite
	v = 90 e = 240 f = 100
	degree seq :: [ 4^60, 8^30 ]

E26.1283 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, Y2^4, (R * Y1)^2, (Y2^-1 * Y3)^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (Y1 * Y3)^2, (Y2 * Y1^-1 * Y2)^2, Y1 * Y3 * Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y1 * Y2 * Y1 * Y3 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2, (Y2^-1 * Y1 * Y2^-1 * Y1^-1)^3, Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122, 5, 125)(3, 123, 10, 130, 13, 133)(4, 124, 14, 134, 8, 128)(6, 126, 18, 138, 19, 139)(7, 127, 20, 140, 23, 143)(9, 129, 25, 145, 26, 146)(11, 131, 30, 150, 21, 141)(12, 132, 32, 152, 28, 148)(15, 135, 37, 157, 38, 158)(16, 136, 39, 159, 40, 160)(17, 137, 41, 161, 42, 162)(22, 142, 47, 167, 44, 164)(24, 144, 50, 170, 51, 171)(27, 147, 52, 172, 54, 174)(29, 149, 56, 176, 57, 177)(31, 151, 46, 166, 58, 178)(33, 153, 61, 181, 62, 182)(34, 154, 63, 183, 64, 184)(35, 155, 65, 185, 66, 186)(36, 156, 67, 187, 68, 188)(43, 163, 73, 193, 75, 195)(45, 165, 77, 197, 78, 198)(48, 168, 81, 201, 82, 202)(49, 169, 83, 203, 84, 204)(53, 173, 88, 208, 86, 206)(55, 175, 91, 211, 92, 212)(59, 179, 93, 213, 94, 214)(60, 180, 95, 215, 96, 216)(69, 189, 105, 225, 106, 226)(70, 190, 107, 227, 108, 228)(71, 191, 109, 229, 110, 230)(72, 192, 111, 231, 112, 232)(74, 194, 98, 218, 114, 234)(76, 196, 116, 236, 97, 217)(79, 199, 117, 237, 87, 207)(80, 200, 85, 205, 118, 238)(89, 209, 115, 235, 104, 224)(90, 210, 103, 223, 113, 233)(99, 219, 101, 221, 120, 240)(100, 220, 119, 239, 102, 222)(241, 361, 243, 363, 251, 371, 246, 366)(242, 362, 247, 367, 261, 381, 249, 369)(244, 364, 255, 375, 271, 391, 252, 372)(245, 365, 256, 376, 270, 390, 257, 377)(248, 368, 264, 384, 286, 406, 262, 382)(250, 370, 267, 387, 259, 379, 269, 389)(253, 373, 273, 393, 258, 378, 274, 394)(254, 374, 275, 395, 298, 418, 276, 396)(260, 380, 283, 403, 266, 386, 285, 405)(263, 383, 288, 408, 265, 385, 289, 409)(268, 388, 295, 415, 277, 397, 293, 413)(272, 392, 299, 419, 278, 398, 300, 420)(279, 399, 309, 429, 282, 402, 310, 430)(280, 400, 311, 431, 281, 401, 312, 432)(284, 404, 316, 436, 290, 410, 314, 434)(287, 407, 319, 439, 291, 411, 320, 440)(292, 412, 325, 445, 297, 417, 327, 447)(294, 414, 329, 449, 296, 416, 330, 450)(301, 421, 337, 457, 304, 424, 338, 458)(302, 422, 339, 459, 303, 423, 340, 460)(305, 425, 341, 461, 308, 428, 342, 462)(306, 426, 343, 463, 307, 427, 344, 464)(313, 433, 353, 473, 318, 438, 355, 475)(315, 435, 333, 453, 317, 437, 336, 456)(321, 441, 359, 479, 324, 444, 360, 480)(322, 442, 326, 446, 323, 443, 331, 451)(328, 448, 349, 469, 332, 452, 352, 472)(334, 454, 345, 465, 335, 455, 348, 468)(346, 466, 357, 477, 347, 467, 358, 478)(350, 470, 354, 474, 351, 471, 356, 476)
	L = (1, 244)(2, 248)(3, 252)(4, 241)(5, 254)(6, 255)(7, 262)(8, 242)(9, 264)(10, 268)(11, 271)(12, 243)(13, 272)(14, 245)(15, 246)(16, 276)(17, 275)(18, 278)(19, 277)(20, 284)(21, 286)(22, 247)(23, 287)(24, 249)(25, 291)(26, 290)(27, 293)(28, 250)(29, 295)(30, 298)(31, 251)(32, 253)(33, 300)(34, 299)(35, 257)(36, 256)(37, 259)(38, 258)(39, 308)(40, 307)(41, 306)(42, 305)(43, 314)(44, 260)(45, 316)(46, 261)(47, 263)(48, 320)(49, 319)(50, 266)(51, 265)(52, 326)(53, 267)(54, 328)(55, 269)(56, 332)(57, 331)(58, 270)(59, 274)(60, 273)(61, 336)(62, 335)(63, 334)(64, 333)(65, 282)(66, 281)(67, 280)(68, 279)(69, 341)(70, 342)(71, 343)(72, 344)(73, 354)(74, 283)(75, 338)(76, 285)(77, 337)(78, 356)(79, 289)(80, 288)(81, 358)(82, 325)(83, 327)(84, 357)(85, 322)(86, 292)(87, 323)(88, 294)(89, 352)(90, 349)(91, 297)(92, 296)(93, 304)(94, 303)(95, 302)(96, 301)(97, 317)(98, 315)(99, 345)(100, 348)(101, 309)(102, 310)(103, 311)(104, 312)(105, 339)(106, 360)(107, 359)(108, 340)(109, 330)(110, 353)(111, 355)(112, 329)(113, 350)(114, 313)(115, 351)(116, 318)(117, 324)(118, 321)(119, 347)(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) :: { ( 4^6 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E26.1269
Graph:: simple bipartite
	v = 70 e = 240 f = 120
	degree seq :: [ 6^40, 8^30 ]

E26.1284 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (Y2^-1 * Y3)^2, (Y1 * Y3)^2, Y2^4, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y3^-1 * Y2^-1 * Y1, R * Y2 * R * Y3^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y1 * Y3^-1, (Y2^-1 * Y3^-1)^4, Y2^-2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, Y1 * Y2 * Y3 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122, 5, 125)(3, 123, 12, 132, 15, 135)(4, 124, 17, 137, 19, 139)(6, 126, 23, 143, 25, 145)(7, 127, 27, 147, 9, 129)(8, 128, 14, 134, 31, 151)(10, 130, 34, 154, 36, 156)(11, 131, 38, 158, 21, 141)(13, 133, 42, 162, 44, 164)(16, 136, 32, 152, 40, 160)(18, 138, 52, 172, 54, 174)(20, 140, 30, 150, 48, 168)(22, 142, 58, 178, 28, 148)(24, 144, 63, 183, 65, 185)(26, 146, 67, 187, 60, 180)(29, 149, 69, 189, 71, 191)(33, 153, 62, 182, 77, 197)(35, 155, 81, 201, 82, 202)(37, 157, 84, 204, 78, 198)(39, 159, 43, 163, 88, 208)(41, 161, 76, 196, 75, 195)(45, 165, 89, 209, 91, 211)(46, 166, 70, 190, 97, 217)(47, 167, 87, 207, 79, 199)(49, 169, 72, 192, 50, 170)(51, 171, 53, 173, 99, 219)(55, 175, 59, 179, 102, 222)(56, 176, 104, 224, 100, 220)(57, 177, 80, 200, 92, 212)(61, 181, 98, 218, 108, 228)(64, 184, 103, 223, 106, 226)(66, 186, 111, 231, 68, 188)(73, 193, 90, 210, 107, 227)(74, 194, 96, 216, 105, 225)(83, 203, 110, 230, 85, 205)(86, 206, 116, 236, 118, 238)(93, 213, 117, 237, 112, 232)(94, 214, 119, 239, 95, 215)(101, 221, 115, 235, 109, 229)(113, 233, 120, 240, 114, 234)(241, 361, 243, 363, 253, 373, 246, 366)(242, 362, 248, 368, 269, 389, 250, 370)(244, 364, 258, 378, 290, 410, 256, 376)(245, 365, 260, 380, 296, 416, 262, 382)(247, 367, 264, 384, 304, 424, 268, 388)(249, 369, 273, 393, 316, 436, 272, 392)(251, 371, 275, 395, 306, 426, 265, 385)(252, 372, 279, 399, 326, 446, 281, 401)(254, 374, 286, 406, 335, 455, 285, 405)(255, 375, 287, 407, 324, 444, 289, 409)(257, 377, 291, 411, 323, 443, 276, 396)(259, 379, 295, 415, 301, 421, 263, 383)(261, 381, 297, 417, 329, 449, 280, 400)(266, 386, 283, 403, 333, 453, 308, 428)(267, 387, 300, 420, 319, 439, 274, 394)(270, 390, 313, 433, 354, 474, 312, 432)(271, 391, 314, 434, 342, 462, 315, 435)(277, 397, 310, 430, 352, 472, 325, 445)(278, 398, 318, 438, 345, 465, 298, 418)(282, 402, 305, 425, 350, 470, 332, 452)(284, 404, 302, 422, 347, 467, 334, 454)(288, 408, 338, 458, 307, 427, 331, 451)(292, 412, 337, 457, 356, 476, 340, 460)(293, 413, 341, 461, 360, 480, 336, 456)(294, 414, 309, 429, 322, 442, 343, 463)(299, 419, 330, 450, 357, 477, 346, 466)(303, 423, 349, 469, 358, 478, 348, 468)(311, 431, 320, 440, 328, 448, 353, 473)(317, 437, 344, 464, 339, 459, 351, 471)(321, 441, 355, 475, 359, 479, 327, 447)
	L = (1, 244)(2, 249)(3, 254)(4, 247)(5, 261)(6, 264)(7, 241)(8, 270)(9, 251)(10, 275)(11, 242)(12, 280)(13, 283)(14, 256)(15, 288)(16, 243)(17, 245)(18, 293)(19, 278)(20, 252)(21, 257)(22, 291)(23, 300)(24, 266)(25, 273)(26, 246)(27, 259)(28, 258)(29, 310)(30, 272)(31, 255)(32, 248)(33, 303)(34, 318)(35, 277)(36, 297)(37, 250)(38, 267)(39, 327)(40, 260)(41, 296)(42, 331)(43, 285)(44, 319)(45, 253)(46, 336)(47, 282)(48, 271)(49, 314)(50, 286)(51, 299)(52, 298)(53, 268)(54, 342)(55, 292)(56, 330)(57, 321)(58, 295)(59, 262)(60, 302)(61, 347)(62, 263)(63, 265)(64, 341)(65, 317)(66, 349)(67, 305)(68, 304)(69, 289)(70, 312)(71, 345)(72, 269)(73, 348)(74, 309)(75, 338)(76, 313)(77, 307)(78, 320)(79, 328)(80, 274)(81, 276)(82, 332)(83, 355)(84, 322)(85, 306)(86, 357)(87, 329)(88, 284)(89, 279)(90, 281)(91, 287)(92, 324)(93, 360)(94, 353)(95, 333)(96, 290)(97, 311)(98, 344)(99, 294)(100, 301)(101, 308)(102, 339)(103, 351)(104, 315)(105, 337)(106, 323)(107, 340)(108, 316)(109, 325)(110, 343)(111, 350)(112, 358)(113, 356)(114, 352)(115, 346)(116, 334)(117, 359)(118, 354)(119, 326)(120, 335)(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) :: { ( 4^6 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E26.1270
Graph:: simple bipartite
	v = 70 e = 240 f = 120
	degree seq :: [ 6^40, 8^30 ]

E26.1285 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 20, 30})
Quotient :: regular
Aut^+ = C5 x ((C6 x C2) : C2) (small group id <120, 25>)
Aut   = (C2 x C2 x D30) : C2 (small group id <240, 151>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^-1 * T2 * T1^-2 * T2 * T1^-7, T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2, T1^-2 * T2 * T1^3 * T2 * T1^-4 * T2 * T1^3 * T2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 43, 71, 60, 35, 53, 81, 104, 117, 112, 88, 109, 94, 110, 120, 114, 90, 57, 32, 52, 80, 70, 42, 22, 10, 4)(3, 7, 15, 31, 55, 87, 66, 40, 21, 39, 65, 96, 102, 74, 44, 73, 69, 98, 108, 82, 50, 26, 12, 25, 47, 79, 62, 36, 18, 8)(6, 13, 27, 51, 83, 64, 38, 20, 9, 19, 37, 63, 95, 99, 72, 68, 41, 67, 97, 105, 78, 46, 24, 45, 75, 103, 86, 54, 30, 14)(16, 28, 48, 76, 100, 92, 59, 34, 17, 29, 49, 77, 101, 116, 111, 93, 61, 85, 107, 119, 113, 89, 56, 84, 106, 118, 115, 91, 58, 33)
	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, 94)(63, 89)(64, 93)(65, 90)(66, 71)(67, 91)(68, 92)(70, 75)(73, 100)(74, 101)(78, 104)(79, 106)(82, 107)(83, 109)(86, 110)(87, 111)(95, 112)(96, 113)(97, 114)(98, 115)(99, 116)(102, 117)(103, 118)(105, 119)(108, 120)
	local type(s) :: { ( 20^30 ) }
Outer automorphisms :: reflexible
Dual of E26.1286
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 60 f = 6
	degree seq :: [ 30^4 ]

E26.1286 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 20, 30})
Quotient :: regular
Aut^+ = C5 x ((C6 x C2) : C2) (small group id <120, 25>)
Aut   = (C2 x C2 x D30) : C2 (small group id <240, 151>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^2 * T2, T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1^-1 * T2 * T1^-1, T1^20 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 65, 86, 104, 115, 114, 103, 85, 64, 46, 31, 19, 10, 4)(3, 7, 12, 22, 33, 49, 66, 88, 105, 117, 120, 118, 113, 101, 81, 60, 43, 28, 17, 8)(6, 13, 21, 34, 48, 67, 87, 106, 116, 112, 119, 111, 102, 84, 63, 45, 30, 18, 9, 14)(15, 25, 35, 51, 68, 90, 107, 96, 110, 95, 109, 94, 108, 93, 80, 59, 42, 27, 16, 26)(23, 36, 50, 69, 89, 78, 100, 77, 99, 76, 98, 75, 97, 83, 62, 44, 29, 38, 24, 37)(39, 55, 70, 92, 82, 61, 74, 54, 73, 53, 72, 52, 71, 91, 79, 58, 41, 57, 40, 56)
	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, 90)(83, 92)(84, 97)(85, 102)(86, 105)(88, 107)(98, 111)(99, 112)(100, 106)(101, 108)(103, 113)(104, 116)(109, 118)(110, 117)(114, 119)(115, 120)
	local type(s) :: { ( 30^20 ) }
Outer automorphisms :: reflexible
Dual of E26.1285
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 6 e = 60 f = 4
	degree seq :: [ 20^6 ]

E26.1287 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 20, 30})
Quotient :: edge
Aut^+ = C5 x ((C6 x C2) : C2) (small group id <120, 25>)
Aut   = (C2 x C2 x D30) : C2 (small group id <240, 151>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-2 * T1 * T2^2 * T1, T2^-5 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1, T2^20, 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 * T1 * T2^-1 ]
Map::
	R = (1, 3, 8, 17, 28, 43, 60, 81, 101, 113, 119, 114, 103, 85, 64, 46, 31, 19, 10, 4)(2, 5, 12, 22, 35, 51, 70, 92, 108, 117, 120, 118, 110, 96, 74, 54, 38, 24, 14, 6)(7, 15, 26, 41, 58, 79, 99, 107, 116, 105, 115, 104, 102, 84, 63, 45, 30, 18, 9, 16)(11, 20, 33, 49, 68, 90, 106, 100, 112, 98, 111, 97, 109, 95, 73, 53, 37, 23, 13, 21)(25, 39, 56, 77, 93, 71, 91, 69, 89, 67, 87, 65, 86, 83, 62, 44, 29, 42, 27, 40)(32, 47, 66, 88, 82, 61, 80, 59, 78, 57, 76, 55, 75, 94, 72, 52, 36, 50, 34, 48)(121, 122)(123, 127)(124, 129)(125, 131)(126, 133)(128, 132)(130, 134)(135, 145)(136, 147)(137, 146)(138, 149)(139, 150)(140, 152)(141, 154)(142, 153)(143, 156)(144, 157)(148, 155)(151, 158)(159, 175)(160, 177)(161, 176)(162, 179)(163, 178)(164, 181)(165, 182)(166, 183)(167, 185)(168, 187)(169, 186)(170, 189)(171, 188)(172, 191)(173, 192)(174, 193)(180, 190)(184, 194)(195, 215)(196, 217)(197, 214)(198, 218)(199, 213)(200, 220)(201, 219)(202, 210)(203, 208)(204, 206)(205, 222)(207, 224)(209, 225)(211, 227)(212, 226)(216, 229)(221, 228)(223, 230)(231, 238)(232, 237)(233, 236)(234, 235)(239, 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 ), ( 60^20 ) }
Outer automorphisms :: reflexible
Dual of E26.1291
Transitivity :: ET+
Graph:: simple bipartite
	v = 66 e = 120 f = 4
	degree seq :: [ 2^60, 20^6 ]

E26.1288 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 20, 30})
Quotient :: edge
Aut^+ = C5 x ((C6 x C2) : C2) (small group id <120, 25>)
Aut   = (C2 x C2 x D30) : C2 (small group id <240, 151>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T2)^2, (F * T1)^2, T2 * T1^3 * T2 * T1^-1, T2 * T1^-3 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1, T2^4 * T1^-2 * T2 * T1^-2 * T2, T2^-1 * T1 * T2^-3 * T1 * T2^-2 * T1^12 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 48, 61, 34, 21, 42, 71, 94, 112, 118, 108, 89, 73, 96, 114, 119, 110, 92, 68, 41, 30, 53, 81, 59, 33, 15, 5)(2, 7, 19, 40, 69, 87, 60, 37, 32, 57, 84, 104, 117, 100, 78, 49, 79, 101, 115, 98, 76, 46, 24, 11, 27, 52, 74, 44, 22, 8)(4, 12, 29, 54, 63, 35, 16, 14, 31, 56, 83, 103, 106, 88, 65, 58, 85, 105, 116, 99, 77, 47, 26, 50, 80, 97, 75, 45, 23, 9)(6, 17, 36, 64, 90, 107, 86, 62, 43, 72, 95, 113, 120, 111, 93, 70, 55, 82, 102, 109, 91, 67, 39, 20, 13, 28, 51, 66, 38, 18)(121, 122, 126, 136, 154, 180, 206, 226, 238, 237, 240, 236, 239, 235, 222, 200, 173, 147, 133, 124)(123, 129, 137, 128, 141, 155, 182, 207, 228, 223, 231, 224, 230, 225, 229, 221, 201, 170, 148, 131)(125, 134, 138, 157, 181, 208, 227, 220, 232, 219, 233, 218, 234, 217, 202, 172, 150, 132, 140, 127)(130, 144, 156, 143, 162, 142, 163, 183, 209, 189, 213, 203, 212, 204, 211, 205, 179, 199, 171, 146)(135, 152, 158, 185, 168, 198, 210, 197, 214, 196, 215, 195, 216, 194, 175, 149, 161, 139, 159, 151)(145, 167, 184, 166, 191, 165, 192, 164, 193, 174, 190, 160, 188, 176, 187, 177, 153, 178, 186, 169)
	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) :: { ( 4^20 ), ( 4^30 ) }
Outer automorphisms :: reflexible
Dual of E26.1292
Transitivity :: ET+
Graph:: bipartite
	v = 10 e = 120 f = 60
	degree seq :: [ 20^6, 30^4 ]

E26.1289 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 20, 30})
Quotient :: edge
Aut^+ = C5 x ((C6 x C2) : C2) (small group id <120, 25>)
Aut   = (C2 x C2 x D30) : C2 (small group id <240, 151>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^-1 * T2 * T1^-2 * T2 * T1^-7, T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2, T1^-2 * T2 * T1^3 * T2 * T1^-4 * 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, 72)(45, 76)(46, 77)(47, 80)(50, 81)(51, 84)(54, 85)(55, 88)(62, 94)(63, 89)(64, 93)(65, 90)(66, 71)(67, 91)(68, 92)(70, 75)(73, 100)(74, 101)(78, 104)(79, 106)(82, 107)(83, 109)(86, 110)(87, 111)(95, 112)(96, 113)(97, 114)(98, 115)(99, 116)(102, 117)(103, 118)(105, 119)(108, 120)(121, 122, 125, 131, 143, 163, 191, 180, 155, 173, 201, 224, 237, 232, 208, 229, 214, 230, 240, 234, 210, 177, 152, 172, 200, 190, 162, 142, 130, 124)(123, 127, 135, 151, 175, 207, 186, 160, 141, 159, 185, 216, 222, 194, 164, 193, 189, 218, 228, 202, 170, 146, 132, 145, 167, 199, 182, 156, 138, 128)(126, 133, 147, 171, 203, 184, 158, 140, 129, 139, 157, 183, 215, 219, 192, 188, 161, 187, 217, 225, 198, 166, 144, 165, 195, 223, 206, 174, 150, 134)(136, 148, 168, 196, 220, 212, 179, 154, 137, 149, 169, 197, 221, 236, 231, 213, 181, 205, 227, 239, 233, 209, 176, 204, 226, 238, 235, 211, 178, 153)
	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) :: { ( 40, 40 ), ( 40^30 ) }
Outer automorphisms :: reflexible
Dual of E26.1290
Transitivity :: ET+
Graph:: simple bipartite
	v = 64 e = 120 f = 6
	degree seq :: [ 2^60, 30^4 ]

E26.1290 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 20, 30})
Quotient :: loop
Aut^+ = C5 x ((C6 x C2) : C2) (small group id <120, 25>)
Aut   = (C2 x C2 x D30) : C2 (small group id <240, 151>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-2 * T1 * T2^2 * T1, T2^-5 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1, T2^20, 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 * T1 * T2^-1 ]
Map::
	R = (1, 121, 3, 123, 8, 128, 17, 137, 28, 148, 43, 163, 60, 180, 81, 201, 101, 221, 113, 233, 119, 239, 114, 234, 103, 223, 85, 205, 64, 184, 46, 166, 31, 151, 19, 139, 10, 130, 4, 124)(2, 122, 5, 125, 12, 132, 22, 142, 35, 155, 51, 171, 70, 190, 92, 212, 108, 228, 117, 237, 120, 240, 118, 238, 110, 230, 96, 216, 74, 194, 54, 174, 38, 158, 24, 144, 14, 134, 6, 126)(7, 127, 15, 135, 26, 146, 41, 161, 58, 178, 79, 199, 99, 219, 107, 227, 116, 236, 105, 225, 115, 235, 104, 224, 102, 222, 84, 204, 63, 183, 45, 165, 30, 150, 18, 138, 9, 129, 16, 136)(11, 131, 20, 140, 33, 153, 49, 169, 68, 188, 90, 210, 106, 226, 100, 220, 112, 232, 98, 218, 111, 231, 97, 217, 109, 229, 95, 215, 73, 193, 53, 173, 37, 157, 23, 143, 13, 133, 21, 141)(25, 145, 39, 159, 56, 176, 77, 197, 93, 213, 71, 191, 91, 211, 69, 189, 89, 209, 67, 187, 87, 207, 65, 185, 86, 206, 83, 203, 62, 182, 44, 164, 29, 149, 42, 162, 27, 147, 40, 160)(32, 152, 47, 167, 66, 186, 88, 208, 82, 202, 61, 181, 80, 200, 59, 179, 78, 198, 57, 177, 76, 196, 55, 175, 75, 195, 94, 214, 72, 192, 52, 172, 36, 156, 50, 170, 34, 154, 48, 168)
	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, 145)(16, 147)(17, 146)(18, 149)(19, 150)(20, 152)(21, 154)(22, 153)(23, 156)(24, 157)(25, 135)(26, 137)(27, 136)(28, 155)(29, 138)(30, 139)(31, 158)(32, 140)(33, 142)(34, 141)(35, 148)(36, 143)(37, 144)(38, 151)(39, 175)(40, 177)(41, 176)(42, 179)(43, 178)(44, 181)(45, 182)(46, 183)(47, 185)(48, 187)(49, 186)(50, 189)(51, 188)(52, 191)(53, 192)(54, 193)(55, 159)(56, 161)(57, 160)(58, 163)(59, 162)(60, 190)(61, 164)(62, 165)(63, 166)(64, 194)(65, 167)(66, 169)(67, 168)(68, 171)(69, 170)(70, 180)(71, 172)(72, 173)(73, 174)(74, 184)(75, 215)(76, 217)(77, 214)(78, 218)(79, 213)(80, 220)(81, 219)(82, 210)(83, 208)(84, 206)(85, 222)(86, 204)(87, 224)(88, 203)(89, 225)(90, 202)(91, 227)(92, 226)(93, 199)(94, 197)(95, 195)(96, 229)(97, 196)(98, 198)(99, 201)(100, 200)(101, 228)(102, 205)(103, 230)(104, 207)(105, 209)(106, 212)(107, 211)(108, 221)(109, 216)(110, 223)(111, 238)(112, 237)(113, 236)(114, 235)(115, 234)(116, 233)(117, 232)(118, 231)(119, 240)(120, 239)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1289
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 120 f = 64
	degree seq :: [ 40^6 ]

E26.1291 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 20, 30})
Quotient :: loop
Aut^+ = C5 x ((C6 x C2) : C2) (small group id <120, 25>)
Aut   = (C2 x C2 x D30) : C2 (small group id <240, 151>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T2)^2, (F * T1)^2, T2 * T1^3 * T2 * T1^-1, T2 * T1^-3 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1, T2^4 * T1^-2 * T2 * T1^-2 * T2, T2^-1 * T1 * T2^-3 * T1 * T2^-2 * T1^12 ]
Map::
	R = (1, 121, 3, 123, 10, 130, 25, 145, 48, 168, 61, 181, 34, 154, 21, 141, 42, 162, 71, 191, 94, 214, 112, 232, 118, 238, 108, 228, 89, 209, 73, 193, 96, 216, 114, 234, 119, 239, 110, 230, 92, 212, 68, 188, 41, 161, 30, 150, 53, 173, 81, 201, 59, 179, 33, 153, 15, 135, 5, 125)(2, 122, 7, 127, 19, 139, 40, 160, 69, 189, 87, 207, 60, 180, 37, 157, 32, 152, 57, 177, 84, 204, 104, 224, 117, 237, 100, 220, 78, 198, 49, 169, 79, 199, 101, 221, 115, 235, 98, 218, 76, 196, 46, 166, 24, 144, 11, 131, 27, 147, 52, 172, 74, 194, 44, 164, 22, 142, 8, 128)(4, 124, 12, 132, 29, 149, 54, 174, 63, 183, 35, 155, 16, 136, 14, 134, 31, 151, 56, 176, 83, 203, 103, 223, 106, 226, 88, 208, 65, 185, 58, 178, 85, 205, 105, 225, 116, 236, 99, 219, 77, 197, 47, 167, 26, 146, 50, 170, 80, 200, 97, 217, 75, 195, 45, 165, 23, 143, 9, 129)(6, 126, 17, 137, 36, 156, 64, 184, 90, 210, 107, 227, 86, 206, 62, 182, 43, 163, 72, 192, 95, 215, 113, 233, 120, 240, 111, 231, 93, 213, 70, 190, 55, 175, 82, 202, 102, 222, 109, 229, 91, 211, 67, 187, 39, 159, 20, 140, 13, 133, 28, 148, 51, 171, 66, 186, 38, 158, 18, 138)
	L = (1, 122)(2, 126)(3, 129)(4, 121)(5, 134)(6, 136)(7, 125)(8, 141)(9, 137)(10, 144)(11, 123)(12, 140)(13, 124)(14, 138)(15, 152)(16, 154)(17, 128)(18, 157)(19, 159)(20, 127)(21, 155)(22, 163)(23, 162)(24, 156)(25, 167)(26, 130)(27, 133)(28, 131)(29, 161)(30, 132)(31, 135)(32, 158)(33, 178)(34, 180)(35, 182)(36, 143)(37, 181)(38, 185)(39, 151)(40, 188)(41, 139)(42, 142)(43, 183)(44, 193)(45, 192)(46, 191)(47, 184)(48, 198)(49, 145)(50, 148)(51, 146)(52, 150)(53, 147)(54, 190)(55, 149)(56, 187)(57, 153)(58, 186)(59, 199)(60, 206)(61, 208)(62, 207)(63, 209)(64, 166)(65, 168)(66, 169)(67, 177)(68, 176)(69, 213)(70, 160)(71, 165)(72, 164)(73, 174)(74, 175)(75, 216)(76, 215)(77, 214)(78, 210)(79, 171)(80, 173)(81, 170)(82, 172)(83, 212)(84, 211)(85, 179)(86, 226)(87, 228)(88, 227)(89, 189)(90, 197)(91, 205)(92, 204)(93, 203)(94, 196)(95, 195)(96, 194)(97, 202)(98, 234)(99, 233)(100, 232)(101, 201)(102, 200)(103, 231)(104, 230)(105, 229)(106, 238)(107, 220)(108, 223)(109, 221)(110, 225)(111, 224)(112, 219)(113, 218)(114, 217)(115, 222)(116, 239)(117, 240)(118, 237)(119, 235)(120, 236)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1287
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 120 f = 66
	degree seq :: [ 60^4 ]

E26.1292 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 20, 30})
Quotient :: loop
Aut^+ = C5 x ((C6 x C2) : C2) (small group id <120, 25>)
Aut   = (C2 x C2 x D30) : C2 (small group id <240, 151>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^-1 * T2 * T1^-2 * T2 * T1^-7, T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2, T1^-2 * T2 * T1^3 * T2 * T1^-4 * T2 * T1^3 * T2 ]
Map:: polytopal non-degenerate
	R = (1, 121, 3, 123)(2, 122, 6, 126)(4, 124, 9, 129)(5, 125, 12, 132)(7, 127, 16, 136)(8, 128, 17, 137)(10, 130, 21, 141)(11, 131, 24, 144)(13, 133, 28, 148)(14, 134, 29, 149)(15, 135, 32, 152)(18, 138, 35, 155)(19, 139, 33, 153)(20, 140, 34, 154)(22, 142, 41, 161)(23, 143, 44, 164)(25, 145, 48, 168)(26, 146, 49, 169)(27, 147, 52, 172)(30, 150, 53, 173)(31, 151, 56, 176)(36, 156, 61, 181)(37, 157, 57, 177)(38, 158, 60, 180)(39, 159, 58, 178)(40, 160, 59, 179)(42, 162, 69, 189)(43, 163, 72, 192)(45, 165, 76, 196)(46, 166, 77, 197)(47, 167, 80, 200)(50, 170, 81, 201)(51, 171, 84, 204)(54, 174, 85, 205)(55, 175, 88, 208)(62, 182, 94, 214)(63, 183, 89, 209)(64, 184, 93, 213)(65, 185, 90, 210)(66, 186, 71, 191)(67, 187, 91, 211)(68, 188, 92, 212)(70, 190, 75, 195)(73, 193, 100, 220)(74, 194, 101, 221)(78, 198, 104, 224)(79, 199, 106, 226)(82, 202, 107, 227)(83, 203, 109, 229)(86, 206, 110, 230)(87, 207, 111, 231)(95, 215, 112, 232)(96, 216, 113, 233)(97, 217, 114, 234)(98, 218, 115, 235)(99, 219, 116, 236)(102, 222, 117, 237)(103, 223, 118, 238)(105, 225, 119, 239)(108, 228, 120, 240)
	L = (1, 122)(2, 125)(3, 127)(4, 121)(5, 131)(6, 133)(7, 135)(8, 123)(9, 139)(10, 124)(11, 143)(12, 145)(13, 147)(14, 126)(15, 151)(16, 148)(17, 149)(18, 128)(19, 157)(20, 129)(21, 159)(22, 130)(23, 163)(24, 165)(25, 167)(26, 132)(27, 171)(28, 168)(29, 169)(30, 134)(31, 175)(32, 172)(33, 136)(34, 137)(35, 173)(36, 138)(37, 183)(38, 140)(39, 185)(40, 141)(41, 187)(42, 142)(43, 191)(44, 193)(45, 195)(46, 144)(47, 199)(48, 196)(49, 197)(50, 146)(51, 203)(52, 200)(53, 201)(54, 150)(55, 207)(56, 204)(57, 152)(58, 153)(59, 154)(60, 155)(61, 205)(62, 156)(63, 215)(64, 158)(65, 216)(66, 160)(67, 217)(68, 161)(69, 218)(70, 162)(71, 180)(72, 188)(73, 189)(74, 164)(75, 223)(76, 220)(77, 221)(78, 166)(79, 182)(80, 190)(81, 224)(82, 170)(83, 184)(84, 226)(85, 227)(86, 174)(87, 186)(88, 229)(89, 176)(90, 177)(91, 178)(92, 179)(93, 181)(94, 230)(95, 219)(96, 222)(97, 225)(98, 228)(99, 192)(100, 212)(101, 236)(102, 194)(103, 206)(104, 237)(105, 198)(106, 238)(107, 239)(108, 202)(109, 214)(110, 240)(111, 213)(112, 208)(113, 209)(114, 210)(115, 211)(116, 231)(117, 232)(118, 235)(119, 233)(120, 234)
	local type(s) :: { ( 20, 30, 20, 30 ) }
Outer automorphisms :: reflexible
Dual of E26.1288
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 60 e = 120 f = 10
	degree seq :: [ 4^60 ]

E26.1293 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 20, 30})
Quotient :: dipole
Aut^+ = C5 x ((C6 x C2) : C2) (small group id <120, 25>)
Aut   = (C2 x C2 x D30) : C2 (small group id <240, 151>)
|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^-5 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2^20, (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, 25, 145)(16, 136, 27, 147)(17, 137, 26, 146)(18, 138, 29, 149)(19, 139, 30, 150)(20, 140, 32, 152)(21, 141, 34, 154)(22, 142, 33, 153)(23, 143, 36, 156)(24, 144, 37, 157)(28, 148, 35, 155)(31, 151, 38, 158)(39, 159, 55, 175)(40, 160, 57, 177)(41, 161, 56, 176)(42, 162, 59, 179)(43, 163, 58, 178)(44, 164, 61, 181)(45, 165, 62, 182)(46, 166, 63, 183)(47, 167, 65, 185)(48, 168, 67, 187)(49, 169, 66, 186)(50, 170, 69, 189)(51, 171, 68, 188)(52, 172, 71, 191)(53, 173, 72, 192)(54, 174, 73, 193)(60, 180, 70, 190)(64, 184, 74, 194)(75, 195, 95, 215)(76, 196, 97, 217)(77, 197, 94, 214)(78, 198, 98, 218)(79, 199, 93, 213)(80, 200, 100, 220)(81, 201, 99, 219)(82, 202, 90, 210)(83, 203, 88, 208)(84, 204, 86, 206)(85, 205, 102, 222)(87, 207, 104, 224)(89, 209, 105, 225)(91, 211, 107, 227)(92, 212, 106, 226)(96, 216, 109, 229)(101, 221, 108, 228)(103, 223, 110, 230)(111, 231, 118, 238)(112, 232, 117, 237)(113, 233, 116, 236)(114, 234, 115, 235)(119, 239, 120, 240)(241, 361, 243, 363, 248, 368, 257, 377, 268, 388, 283, 403, 300, 420, 321, 441, 341, 461, 353, 473, 359, 479, 354, 474, 343, 463, 325, 445, 304, 424, 286, 406, 271, 391, 259, 379, 250, 370, 244, 364)(242, 362, 245, 365, 252, 372, 262, 382, 275, 395, 291, 411, 310, 430, 332, 452, 348, 468, 357, 477, 360, 480, 358, 478, 350, 470, 336, 456, 314, 434, 294, 414, 278, 398, 264, 384, 254, 374, 246, 366)(247, 367, 255, 375, 266, 386, 281, 401, 298, 418, 319, 439, 339, 459, 347, 467, 356, 476, 345, 465, 355, 475, 344, 464, 342, 462, 324, 444, 303, 423, 285, 405, 270, 390, 258, 378, 249, 369, 256, 376)(251, 371, 260, 380, 273, 393, 289, 409, 308, 428, 330, 450, 346, 466, 340, 460, 352, 472, 338, 458, 351, 471, 337, 457, 349, 469, 335, 455, 313, 433, 293, 413, 277, 397, 263, 383, 253, 373, 261, 381)(265, 385, 279, 399, 296, 416, 317, 437, 333, 453, 311, 431, 331, 451, 309, 429, 329, 449, 307, 427, 327, 447, 305, 425, 326, 446, 323, 443, 302, 422, 284, 404, 269, 389, 282, 402, 267, 387, 280, 400)(272, 392, 287, 407, 306, 426, 328, 448, 322, 442, 301, 421, 320, 440, 299, 419, 318, 438, 297, 417, 316, 436, 295, 415, 315, 435, 334, 454, 312, 432, 292, 412, 276, 396, 290, 410, 274, 394, 288, 408)
	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, 265)(16, 267)(17, 266)(18, 269)(19, 270)(20, 272)(21, 274)(22, 273)(23, 276)(24, 277)(25, 255)(26, 257)(27, 256)(28, 275)(29, 258)(30, 259)(31, 278)(32, 260)(33, 262)(34, 261)(35, 268)(36, 263)(37, 264)(38, 271)(39, 295)(40, 297)(41, 296)(42, 299)(43, 298)(44, 301)(45, 302)(46, 303)(47, 305)(48, 307)(49, 306)(50, 309)(51, 308)(52, 311)(53, 312)(54, 313)(55, 279)(56, 281)(57, 280)(58, 283)(59, 282)(60, 310)(61, 284)(62, 285)(63, 286)(64, 314)(65, 287)(66, 289)(67, 288)(68, 291)(69, 290)(70, 300)(71, 292)(72, 293)(73, 294)(74, 304)(75, 335)(76, 337)(77, 334)(78, 338)(79, 333)(80, 340)(81, 339)(82, 330)(83, 328)(84, 326)(85, 342)(86, 324)(87, 344)(88, 323)(89, 345)(90, 322)(91, 347)(92, 346)(93, 319)(94, 317)(95, 315)(96, 349)(97, 316)(98, 318)(99, 321)(100, 320)(101, 348)(102, 325)(103, 350)(104, 327)(105, 329)(106, 332)(107, 331)(108, 341)(109, 336)(110, 343)(111, 358)(112, 357)(113, 356)(114, 355)(115, 354)(116, 353)(117, 352)(118, 351)(119, 360)(120, 359)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.1296
Graph:: bipartite
	v = 66 e = 240 f = 124
	degree seq :: [ 4^60, 40^6 ]

E26.1294 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 20, 30})
Quotient :: dipole
Aut^+ = C5 x ((C6 x C2) : C2) (small group id <120, 25>)
Aut   = (C2 x C2 x D30) : C2 (small group id <240, 151>)
|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, Y1^-3 * Y2^-1 * Y1 * Y2^-1, Y2^2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2, Y2^4 * Y1^-2 * Y2 * Y1^-2 * Y2, Y2 * Y1^-1 * Y2^-2 * Y1^3 * Y2^-1 * Y1^-1 * Y2^2 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1^17 ]
Map::
	R = (1, 121, 2, 122, 6, 126, 16, 136, 34, 154, 60, 180, 86, 206, 106, 226, 118, 238, 117, 237, 120, 240, 116, 236, 119, 239, 115, 235, 102, 222, 80, 200, 53, 173, 27, 147, 13, 133, 4, 124)(3, 123, 9, 129, 17, 137, 8, 128, 21, 141, 35, 155, 62, 182, 87, 207, 108, 228, 103, 223, 111, 231, 104, 224, 110, 230, 105, 225, 109, 229, 101, 221, 81, 201, 50, 170, 28, 148, 11, 131)(5, 125, 14, 134, 18, 138, 37, 157, 61, 181, 88, 208, 107, 227, 100, 220, 112, 232, 99, 219, 113, 233, 98, 218, 114, 234, 97, 217, 82, 202, 52, 172, 30, 150, 12, 132, 20, 140, 7, 127)(10, 130, 24, 144, 36, 156, 23, 143, 42, 162, 22, 142, 43, 163, 63, 183, 89, 209, 69, 189, 93, 213, 83, 203, 92, 212, 84, 204, 91, 211, 85, 205, 59, 179, 79, 199, 51, 171, 26, 146)(15, 135, 32, 152, 38, 158, 65, 185, 48, 168, 78, 198, 90, 210, 77, 197, 94, 214, 76, 196, 95, 215, 75, 195, 96, 216, 74, 194, 55, 175, 29, 149, 41, 161, 19, 139, 39, 159, 31, 151)(25, 145, 47, 167, 64, 184, 46, 166, 71, 191, 45, 165, 72, 192, 44, 164, 73, 193, 54, 174, 70, 190, 40, 160, 68, 188, 56, 176, 67, 187, 57, 177, 33, 153, 58, 178, 66, 186, 49, 169)(241, 361, 243, 363, 250, 370, 265, 385, 288, 408, 301, 421, 274, 394, 261, 381, 282, 402, 311, 431, 334, 454, 352, 472, 358, 478, 348, 468, 329, 449, 313, 433, 336, 456, 354, 474, 359, 479, 350, 470, 332, 452, 308, 428, 281, 401, 270, 390, 293, 413, 321, 441, 299, 419, 273, 393, 255, 375, 245, 365)(242, 362, 247, 367, 259, 379, 280, 400, 309, 429, 327, 447, 300, 420, 277, 397, 272, 392, 297, 417, 324, 444, 344, 464, 357, 477, 340, 460, 318, 438, 289, 409, 319, 439, 341, 461, 355, 475, 338, 458, 316, 436, 286, 406, 264, 384, 251, 371, 267, 387, 292, 412, 314, 434, 284, 404, 262, 382, 248, 368)(244, 364, 252, 372, 269, 389, 294, 414, 303, 423, 275, 395, 256, 376, 254, 374, 271, 391, 296, 416, 323, 443, 343, 463, 346, 466, 328, 448, 305, 425, 298, 418, 325, 445, 345, 465, 356, 476, 339, 459, 317, 437, 287, 407, 266, 386, 290, 410, 320, 440, 337, 457, 315, 435, 285, 405, 263, 383, 249, 369)(246, 366, 257, 377, 276, 396, 304, 424, 330, 450, 347, 467, 326, 446, 302, 422, 283, 403, 312, 432, 335, 455, 353, 473, 360, 480, 351, 471, 333, 453, 310, 430, 295, 415, 322, 442, 342, 462, 349, 469, 331, 451, 307, 427, 279, 399, 260, 380, 253, 373, 268, 388, 291, 411, 306, 426, 278, 398, 258, 378)
	L = (1, 243)(2, 247)(3, 250)(4, 252)(5, 241)(6, 257)(7, 259)(8, 242)(9, 244)(10, 265)(11, 267)(12, 269)(13, 268)(14, 271)(15, 245)(16, 254)(17, 276)(18, 246)(19, 280)(20, 253)(21, 282)(22, 248)(23, 249)(24, 251)(25, 288)(26, 290)(27, 292)(28, 291)(29, 294)(30, 293)(31, 296)(32, 297)(33, 255)(34, 261)(35, 256)(36, 304)(37, 272)(38, 258)(39, 260)(40, 309)(41, 270)(42, 311)(43, 312)(44, 262)(45, 263)(46, 264)(47, 266)(48, 301)(49, 319)(50, 320)(51, 306)(52, 314)(53, 321)(54, 303)(55, 322)(56, 323)(57, 324)(58, 325)(59, 273)(60, 277)(61, 274)(62, 283)(63, 275)(64, 330)(65, 298)(66, 278)(67, 279)(68, 281)(69, 327)(70, 295)(71, 334)(72, 335)(73, 336)(74, 284)(75, 285)(76, 286)(77, 287)(78, 289)(79, 341)(80, 337)(81, 299)(82, 342)(83, 343)(84, 344)(85, 345)(86, 302)(87, 300)(88, 305)(89, 313)(90, 347)(91, 307)(92, 308)(93, 310)(94, 352)(95, 353)(96, 354)(97, 315)(98, 316)(99, 317)(100, 318)(101, 355)(102, 349)(103, 346)(104, 357)(105, 356)(106, 328)(107, 326)(108, 329)(109, 331)(110, 332)(111, 333)(112, 358)(113, 360)(114, 359)(115, 338)(116, 339)(117, 340)(118, 348)(119, 350)(120, 351)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.1295
Graph:: bipartite
	v = 10 e = 240 f = 180
	degree seq :: [ 40^6, 60^4 ]

E26.1295 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 20, 30})
Quotient :: dipole
Aut^+ = C5 x ((C6 x C2) : C2) (small group id <120, 25>)
Aut   = (C2 x C2 x D30) : C2 (small group id <240, 151>)
|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^-6 * Y2 * Y3^-2 * Y2 * Y3^-2, Y3^2 * Y2 * Y3^2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2, (Y3^3 * Y2 * Y3^-3 * Y2)^2, (Y3^-1 * Y1^-1)^30 ]
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, 257, 377)(250, 370, 261, 381)(252, 372, 265, 385)(254, 374, 269, 389)(255, 375, 263, 383)(256, 376, 267, 387)(258, 378, 275, 395)(259, 379, 264, 384)(260, 380, 268, 388)(262, 382, 281, 401)(266, 386, 287, 407)(270, 390, 293, 413)(271, 391, 285, 405)(272, 392, 291, 411)(273, 393, 283, 403)(274, 394, 289, 409)(276, 396, 301, 421)(277, 397, 286, 406)(278, 398, 292, 412)(279, 399, 284, 404)(280, 400, 290, 410)(282, 402, 309, 429)(288, 408, 317, 437)(294, 414, 325, 445)(295, 415, 315, 435)(296, 416, 323, 443)(297, 417, 313, 433)(298, 418, 321, 441)(299, 419, 311, 431)(300, 420, 319, 439)(302, 422, 334, 454)(303, 423, 316, 436)(304, 424, 324, 444)(305, 425, 314, 434)(306, 426, 322, 442)(307, 427, 312, 432)(308, 428, 320, 440)(310, 430, 330, 450)(318, 438, 346, 466)(326, 446, 342, 462)(327, 447, 344, 464)(328, 448, 350, 470)(329, 449, 349, 469)(331, 451, 348, 468)(332, 452, 339, 459)(333, 453, 347, 467)(335, 455, 345, 465)(336, 456, 343, 463)(337, 457, 341, 461)(338, 458, 340, 460)(351, 471, 356, 476)(352, 472, 357, 477)(353, 473, 358, 478)(354, 474, 359, 479)(355, 475, 360, 480)
	L = (1, 243)(2, 245)(3, 248)(4, 241)(5, 252)(6, 242)(7, 255)(8, 258)(9, 259)(10, 244)(11, 263)(12, 266)(13, 267)(14, 246)(15, 271)(16, 247)(17, 273)(18, 276)(19, 277)(20, 249)(21, 279)(22, 250)(23, 283)(24, 251)(25, 285)(26, 288)(27, 289)(28, 253)(29, 291)(30, 254)(31, 295)(32, 256)(33, 297)(34, 257)(35, 299)(36, 302)(37, 303)(38, 260)(39, 305)(40, 261)(41, 307)(42, 262)(43, 311)(44, 264)(45, 313)(46, 265)(47, 315)(48, 318)(49, 319)(50, 268)(51, 321)(52, 269)(53, 323)(54, 270)(55, 327)(56, 272)(57, 326)(58, 274)(59, 330)(60, 275)(61, 332)(62, 322)(63, 335)(64, 278)(65, 336)(66, 280)(67, 337)(68, 281)(69, 338)(70, 282)(71, 339)(72, 284)(73, 310)(74, 286)(75, 342)(76, 287)(77, 344)(78, 306)(79, 347)(80, 290)(81, 348)(82, 292)(83, 349)(84, 293)(85, 350)(86, 294)(87, 304)(88, 296)(89, 298)(90, 351)(91, 300)(92, 309)(93, 301)(94, 308)(95, 355)(96, 354)(97, 353)(98, 352)(99, 320)(100, 312)(101, 314)(102, 356)(103, 316)(104, 325)(105, 317)(106, 324)(107, 360)(108, 359)(109, 358)(110, 357)(111, 328)(112, 329)(113, 331)(114, 333)(115, 334)(116, 340)(117, 341)(118, 343)(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) :: { ( 40, 60 ), ( 40, 60, 40, 60 ) }
Outer automorphisms :: reflexible
Dual of E26.1294
Graph:: simple bipartite
	v = 180 e = 240 f = 10
	degree seq :: [ 2^120, 4^60 ]

E26.1296 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 20, 30})
Quotient :: dipole
Aut^+ = C5 x ((C6 x C2) : C2) (small group id <120, 25>)
Aut   = (C2 x C2 x D30) : C2 (small group id <240, 151>)
|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 * Y3 * Y1^-1, Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-6, Y1^-2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^-2 * Y3, Y1^-2 * Y3 * Y1^3 * Y3 * Y1^-4 * Y3 * Y1^3 * Y3 ]
Map::
	R = (1, 121, 2, 122, 5, 125, 11, 131, 23, 143, 43, 163, 71, 191, 60, 180, 35, 155, 53, 173, 81, 201, 104, 224, 117, 237, 112, 232, 88, 208, 109, 229, 94, 214, 110, 230, 120, 240, 114, 234, 90, 210, 57, 177, 32, 152, 52, 172, 80, 200, 70, 190, 42, 162, 22, 142, 10, 130, 4, 124)(3, 123, 7, 127, 15, 135, 31, 151, 55, 175, 87, 207, 66, 186, 40, 160, 21, 141, 39, 159, 65, 185, 96, 216, 102, 222, 74, 194, 44, 164, 73, 193, 69, 189, 98, 218, 108, 228, 82, 202, 50, 170, 26, 146, 12, 132, 25, 145, 47, 167, 79, 199, 62, 182, 36, 156, 18, 138, 8, 128)(6, 126, 13, 133, 27, 147, 51, 171, 83, 203, 64, 184, 38, 158, 20, 140, 9, 129, 19, 139, 37, 157, 63, 183, 95, 215, 99, 219, 72, 192, 68, 188, 41, 161, 67, 187, 97, 217, 105, 225, 78, 198, 46, 166, 24, 144, 45, 165, 75, 195, 103, 223, 86, 206, 54, 174, 30, 150, 14, 134)(16, 136, 28, 148, 48, 168, 76, 196, 100, 220, 92, 212, 59, 179, 34, 154, 17, 137, 29, 149, 49, 169, 77, 197, 101, 221, 116, 236, 111, 231, 93, 213, 61, 181, 85, 205, 107, 227, 119, 239, 113, 233, 89, 209, 56, 176, 84, 204, 106, 226, 118, 238, 115, 235, 91, 211, 58, 178, 33, 153)(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, 256)(8, 257)(9, 244)(10, 261)(11, 264)(12, 245)(13, 268)(14, 269)(15, 272)(16, 247)(17, 248)(18, 275)(19, 273)(20, 274)(21, 250)(22, 281)(23, 284)(24, 251)(25, 288)(26, 289)(27, 292)(28, 253)(29, 254)(30, 293)(31, 296)(32, 255)(33, 259)(34, 260)(35, 258)(36, 301)(37, 297)(38, 300)(39, 298)(40, 299)(41, 262)(42, 309)(43, 312)(44, 263)(45, 316)(46, 317)(47, 320)(48, 265)(49, 266)(50, 321)(51, 324)(52, 267)(53, 270)(54, 325)(55, 328)(56, 271)(57, 277)(58, 279)(59, 280)(60, 278)(61, 276)(62, 334)(63, 329)(64, 333)(65, 330)(66, 311)(67, 331)(68, 332)(69, 282)(70, 315)(71, 306)(72, 283)(73, 340)(74, 341)(75, 310)(76, 285)(77, 286)(78, 344)(79, 346)(80, 287)(81, 290)(82, 347)(83, 349)(84, 291)(85, 294)(86, 350)(87, 351)(88, 295)(89, 303)(90, 305)(91, 307)(92, 308)(93, 304)(94, 302)(95, 352)(96, 353)(97, 354)(98, 355)(99, 356)(100, 313)(101, 314)(102, 357)(103, 358)(104, 318)(105, 359)(106, 319)(107, 322)(108, 360)(109, 323)(110, 326)(111, 327)(112, 335)(113, 336)(114, 337)(115, 338)(116, 339)(117, 342)(118, 343)(119, 345)(120, 348)(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, 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, 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 E26.1293
Graph:: simple bipartite
	v = 124 e = 240 f = 66
	degree seq :: [ 2^120, 60^4 ]

E26.1297 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 20, 30})
Quotient :: dipole
Aut^+ = C5 x ((C6 x C2) : C2) (small group id <120, 25>)
Aut   = (C2 x C2 x D30) : C2 (small group id <240, 151>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^2 * R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, Y2^-1 * R * Y2^8 * R * Y2^-1, Y2^2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1, Y2^-5 * Y1 * R * Y2^2 * R * Y2^-2 * Y1 * Y2^-1, (Y2^3 * Y1 * Y2^-3 * Y1)^2, (Y3 * Y2^-1)^20 ]
Map::
	R = (1, 121, 2, 122)(3, 123, 7, 127)(4, 124, 9, 129)(5, 125, 11, 131)(6, 126, 13, 133)(8, 128, 17, 137)(10, 130, 21, 141)(12, 132, 25, 145)(14, 134, 29, 149)(15, 135, 23, 143)(16, 136, 27, 147)(18, 138, 35, 155)(19, 139, 24, 144)(20, 140, 28, 148)(22, 142, 41, 161)(26, 146, 47, 167)(30, 150, 53, 173)(31, 151, 45, 165)(32, 152, 51, 171)(33, 153, 43, 163)(34, 154, 49, 169)(36, 156, 61, 181)(37, 157, 46, 166)(38, 158, 52, 172)(39, 159, 44, 164)(40, 160, 50, 170)(42, 162, 69, 189)(48, 168, 77, 197)(54, 174, 85, 205)(55, 175, 75, 195)(56, 176, 83, 203)(57, 177, 73, 193)(58, 178, 81, 201)(59, 179, 71, 191)(60, 180, 79, 199)(62, 182, 94, 214)(63, 183, 76, 196)(64, 184, 84, 204)(65, 185, 74, 194)(66, 186, 82, 202)(67, 187, 72, 192)(68, 188, 80, 200)(70, 190, 90, 210)(78, 198, 106, 226)(86, 206, 102, 222)(87, 207, 104, 224)(88, 208, 110, 230)(89, 209, 109, 229)(91, 211, 108, 228)(92, 212, 99, 219)(93, 213, 107, 227)(95, 215, 105, 225)(96, 216, 103, 223)(97, 217, 101, 221)(98, 218, 100, 220)(111, 231, 116, 236)(112, 232, 117, 237)(113, 233, 118, 238)(114, 234, 119, 239)(115, 235, 120, 240)(241, 361, 243, 363, 248, 368, 258, 378, 276, 396, 302, 422, 322, 442, 292, 412, 269, 389, 291, 411, 321, 441, 348, 468, 359, 479, 345, 465, 317, 437, 344, 464, 325, 445, 350, 470, 357, 477, 341, 461, 314, 434, 286, 406, 265, 385, 285, 405, 313, 433, 310, 430, 282, 402, 262, 382, 250, 370, 244, 364)(242, 362, 245, 365, 252, 372, 266, 386, 288, 408, 318, 438, 306, 426, 280, 400, 261, 381, 279, 399, 305, 425, 336, 456, 354, 474, 333, 453, 301, 421, 332, 452, 309, 429, 338, 458, 352, 472, 329, 449, 298, 418, 274, 394, 257, 377, 273, 393, 297, 417, 326, 446, 294, 414, 270, 390, 254, 374, 246, 366)(247, 367, 255, 375, 271, 391, 295, 415, 327, 447, 304, 424, 278, 398, 260, 380, 249, 369, 259, 379, 277, 397, 303, 423, 335, 455, 355, 475, 334, 454, 308, 428, 281, 401, 307, 427, 337, 457, 353, 473, 331, 451, 300, 420, 275, 395, 299, 419, 330, 450, 351, 471, 328, 448, 296, 416, 272, 392, 256, 376)(251, 371, 263, 383, 283, 403, 311, 431, 339, 459, 320, 440, 290, 410, 268, 388, 253, 373, 267, 387, 289, 409, 319, 439, 347, 467, 360, 480, 346, 466, 324, 444, 293, 413, 323, 443, 349, 469, 358, 478, 343, 463, 316, 436, 287, 407, 315, 435, 342, 462, 356, 476, 340, 460, 312, 432, 284, 404, 264, 384)
	L = (1, 242)(2, 241)(3, 247)(4, 249)(5, 251)(6, 253)(7, 243)(8, 257)(9, 244)(10, 261)(11, 245)(12, 265)(13, 246)(14, 269)(15, 263)(16, 267)(17, 248)(18, 275)(19, 264)(20, 268)(21, 250)(22, 281)(23, 255)(24, 259)(25, 252)(26, 287)(27, 256)(28, 260)(29, 254)(30, 293)(31, 285)(32, 291)(33, 283)(34, 289)(35, 258)(36, 301)(37, 286)(38, 292)(39, 284)(40, 290)(41, 262)(42, 309)(43, 273)(44, 279)(45, 271)(46, 277)(47, 266)(48, 317)(49, 274)(50, 280)(51, 272)(52, 278)(53, 270)(54, 325)(55, 315)(56, 323)(57, 313)(58, 321)(59, 311)(60, 319)(61, 276)(62, 334)(63, 316)(64, 324)(65, 314)(66, 322)(67, 312)(68, 320)(69, 282)(70, 330)(71, 299)(72, 307)(73, 297)(74, 305)(75, 295)(76, 303)(77, 288)(78, 346)(79, 300)(80, 308)(81, 298)(82, 306)(83, 296)(84, 304)(85, 294)(86, 342)(87, 344)(88, 350)(89, 349)(90, 310)(91, 348)(92, 339)(93, 347)(94, 302)(95, 345)(96, 343)(97, 341)(98, 340)(99, 332)(100, 338)(101, 337)(102, 326)(103, 336)(104, 327)(105, 335)(106, 318)(107, 333)(108, 331)(109, 329)(110, 328)(111, 356)(112, 357)(113, 358)(114, 359)(115, 360)(116, 351)(117, 352)(118, 353)(119, 354)(120, 355)(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, 40, 2, 40 ), ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 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 E26.1298
Graph:: bipartite
	v = 64 e = 240 f = 126
	degree seq :: [ 4^60, 60^4 ]

E26.1298 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 20, 30})
Quotient :: dipole
Aut^+ = C5 x ((C6 x C2) : C2) (small group id <120, 25>)
Aut   = (C2 x C2 x D30) : C2 (small group id <240, 151>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1^-3 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3 * Y1^3, Y3 * Y1^-1 * Y3^-2 * Y1^2 * Y3^3 * Y1, Y3^2 * Y1^-4 * Y3^4, Y3^6 * Y1^-1 * Y3 * Y1^-1 * Y3, Y3^-1 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^5 * Y1, (Y3 * Y2^-1)^30 ]
Map::
	R = (1, 121, 2, 122, 6, 126, 16, 136, 34, 154, 60, 180, 86, 206, 106, 226, 118, 238, 117, 237, 120, 240, 116, 236, 119, 239, 115, 235, 102, 222, 80, 200, 53, 173, 27, 147, 13, 133, 4, 124)(3, 123, 9, 129, 17, 137, 8, 128, 21, 141, 35, 155, 62, 182, 87, 207, 108, 228, 103, 223, 111, 231, 104, 224, 110, 230, 105, 225, 109, 229, 101, 221, 81, 201, 50, 170, 28, 148, 11, 131)(5, 125, 14, 134, 18, 138, 37, 157, 61, 181, 88, 208, 107, 227, 100, 220, 112, 232, 99, 219, 113, 233, 98, 218, 114, 234, 97, 217, 82, 202, 52, 172, 30, 150, 12, 132, 20, 140, 7, 127)(10, 130, 24, 144, 36, 156, 23, 143, 42, 162, 22, 142, 43, 163, 63, 183, 89, 209, 69, 189, 93, 213, 83, 203, 92, 212, 84, 204, 91, 211, 85, 205, 59, 179, 79, 199, 51, 171, 26, 146)(15, 135, 32, 152, 38, 158, 65, 185, 48, 168, 78, 198, 90, 210, 77, 197, 94, 214, 76, 196, 95, 215, 75, 195, 96, 216, 74, 194, 55, 175, 29, 149, 41, 161, 19, 139, 39, 159, 31, 151)(25, 145, 47, 167, 64, 184, 46, 166, 71, 191, 45, 165, 72, 192, 44, 164, 73, 193, 54, 174, 70, 190, 40, 160, 68, 188, 56, 176, 67, 187, 57, 177, 33, 153, 58, 178, 66, 186, 49, 169)(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, 265)(11, 267)(12, 269)(13, 268)(14, 271)(15, 245)(16, 254)(17, 276)(18, 246)(19, 280)(20, 253)(21, 282)(22, 248)(23, 249)(24, 251)(25, 288)(26, 290)(27, 292)(28, 291)(29, 294)(30, 293)(31, 296)(32, 297)(33, 255)(34, 261)(35, 256)(36, 304)(37, 272)(38, 258)(39, 260)(40, 309)(41, 270)(42, 311)(43, 312)(44, 262)(45, 263)(46, 264)(47, 266)(48, 301)(49, 319)(50, 320)(51, 306)(52, 314)(53, 321)(54, 303)(55, 322)(56, 323)(57, 324)(58, 325)(59, 273)(60, 277)(61, 274)(62, 283)(63, 275)(64, 330)(65, 298)(66, 278)(67, 279)(68, 281)(69, 327)(70, 295)(71, 334)(72, 335)(73, 336)(74, 284)(75, 285)(76, 286)(77, 287)(78, 289)(79, 341)(80, 337)(81, 299)(82, 342)(83, 343)(84, 344)(85, 345)(86, 302)(87, 300)(88, 305)(89, 313)(90, 347)(91, 307)(92, 308)(93, 310)(94, 352)(95, 353)(96, 354)(97, 315)(98, 316)(99, 317)(100, 318)(101, 355)(102, 349)(103, 346)(104, 357)(105, 356)(106, 328)(107, 326)(108, 329)(109, 331)(110, 332)(111, 333)(112, 358)(113, 360)(114, 359)(115, 338)(116, 339)(117, 340)(118, 348)(119, 350)(120, 351)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.1297
Graph:: simple bipartite
	v = 126 e = 240 f = 64
	degree seq :: [ 2^120, 40^6 ]

E26.1299 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 10, 65})
Quotient :: regular
Aut^+ = C5 x D26 (small group id <130, 2>)
Aut   = D10 x D26 (small group id <260, 11>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, (T1^5 * T2)^2, T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2, T1^2 * T2 * T1^-9 * T2 * T1^2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 43, 71, 101, 116, 88, 113, 92, 59, 34, 17, 29, 49, 77, 105, 125, 129, 117, 89, 56, 84, 110, 93, 60, 35, 53, 81, 108, 126, 130, 118, 90, 57, 32, 52, 80, 107, 94, 61, 85, 111, 127, 128, 119, 91, 58, 33, 16, 28, 48, 76, 104, 95, 114, 124, 100, 70, 42, 22, 10, 4)(3, 7, 15, 31, 55, 87, 115, 106, 74, 44, 73, 64, 38, 20, 9, 19, 37, 63, 96, 120, 109, 78, 46, 24, 45, 75, 66, 40, 21, 39, 65, 97, 121, 112, 82, 50, 26, 12, 25, 47, 79, 68, 41, 67, 98, 122, 102, 86, 54, 30, 14, 6, 13, 27, 51, 83, 69, 99, 123, 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, 121)(103, 125)(106, 126)(109, 127)(112, 124)(115, 128)(122, 129)(123, 130)
	local type(s) :: { ( 10^65 ) }
Outer automorphisms :: reflexible
Dual of E26.1300
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 65 f = 13
	degree seq :: [ 65^2 ]

E26.1300 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 10, 65})
Quotient :: regular
Aut^+ = C5 x D26 (small group id <130, 2>)
Aut   = D10 x D26 (small group id <260, 11>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T1^-3 * T2 * T1^4 * T2 * T1^-1, T1^10, 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, T1^-2 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * 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)
	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, 129)(122, 130)(123, 126)(124, 127)(125, 128)
	local type(s) :: { ( 65^10 ) }
Outer automorphisms :: reflexible
Dual of E26.1299
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 13 e = 65 f = 2
	degree seq :: [ 10^13 ]

E26.1301 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 10, 65})
Quotient :: edge
Aut^+ = C5 x D26 (small group id <130, 2>)
Aut   = D10 x D26 (small group id <260, 11>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-2 * T1 * T2^2 * T1, T2^-3 * T1 * T2^4 * T1 * T2^-1, T2^10, T2 * T1 * T2 * T1 * T2^-1 * 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)^65 ]
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, 128, 125, 127, 124, 126, 123, 130, 122, 129)(131, 132)(133, 137)(134, 139)(135, 141)(136, 143)(138, 142)(140, 144)(145, 155)(146, 157)(147, 156)(148, 159)(149, 160)(150, 162)(151, 164)(152, 163)(153, 166)(154, 167)(158, 165)(161, 168)(169, 183)(170, 185)(171, 184)(172, 187)(173, 186)(174, 188)(175, 189)(176, 190)(177, 192)(178, 191)(179, 194)(180, 193)(181, 195)(182, 196)(197, 209)(198, 211)(199, 210)(200, 212)(201, 213)(202, 214)(203, 215)(204, 217)(205, 216)(206, 218)(207, 219)(208, 220)(221, 231)(222, 232)(223, 233)(224, 234)(225, 235)(226, 236)(227, 237)(228, 238)(229, 239)(230, 240)(241, 251)(242, 252)(243, 253)(244, 254)(245, 255)(246, 256)(247, 257)(248, 258)(249, 259)(250, 260)
	L = (1, 131)(2, 132)(3, 133)(4, 134)(5, 135)(6, 136)(7, 137)(8, 138)(9, 139)(10, 140)(11, 141)(12, 142)(13, 143)(14, 144)(15, 145)(16, 146)(17, 147)(18, 148)(19, 149)(20, 150)(21, 151)(22, 152)(23, 153)(24, 154)(25, 155)(26, 156)(27, 157)(28, 158)(29, 159)(30, 160)(31, 161)(32, 162)(33, 163)(34, 164)(35, 165)(36, 166)(37, 167)(38, 168)(39, 169)(40, 170)(41, 171)(42, 172)(43, 173)(44, 174)(45, 175)(46, 176)(47, 177)(48, 178)(49, 179)(50, 180)(51, 181)(52, 182)(53, 183)(54, 184)(55, 185)(56, 186)(57, 187)(58, 188)(59, 189)(60, 190)(61, 191)(62, 192)(63, 193)(64, 194)(65, 195)(66, 196)(67, 197)(68, 198)(69, 199)(70, 200)(71, 201)(72, 202)(73, 203)(74, 204)(75, 205)(76, 206)(77, 207)(78, 208)(79, 209)(80, 210)(81, 211)(82, 212)(83, 213)(84, 214)(85, 215)(86, 216)(87, 217)(88, 218)(89, 219)(90, 220)(91, 221)(92, 222)(93, 223)(94, 224)(95, 225)(96, 226)(97, 227)(98, 228)(99, 229)(100, 230)(101, 231)(102, 232)(103, 233)(104, 234)(105, 235)(106, 236)(107, 237)(108, 238)(109, 239)(110, 240)(111, 241)(112, 242)(113, 243)(114, 244)(115, 245)(116, 246)(117, 247)(118, 248)(119, 249)(120, 250)(121, 251)(122, 252)(123, 253)(124, 254)(125, 255)(126, 256)(127, 257)(128, 258)(129, 259)(130, 260)
	local type(s) :: { ( 130, 130 ), ( 130^10 ) }
Outer automorphisms :: reflexible
Dual of E26.1305
Transitivity :: ET+
Graph:: simple bipartite
	v = 78 e = 130 f = 2
	degree seq :: [ 2^65, 10^13 ]

E26.1302 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 10, 65})
Quotient :: edge
Aut^+ = C5 x D26 (small group id <130, 2>)
Aut   = D10 x D26 (small group id <260, 11>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^2 * T2^-1, T2^2 * T1^-1 * T2 * T1^-2 * T2 * T1^-3, (T2^-4 * T1)^2, T1^10, T2^-9 * T1^-1 * T2^4 * T1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 48, 79, 99, 119, 106, 86, 66, 38, 18, 6, 17, 36, 64, 85, 105, 125, 128, 109, 89, 70, 55, 61, 34, 21, 42, 71, 91, 111, 129, 127, 108, 88, 68, 41, 30, 53, 62, 43, 72, 92, 112, 130, 126, 107, 87, 67, 39, 20, 13, 28, 51, 73, 93, 113, 124, 104, 84, 59, 33, 15, 5)(2, 7, 19, 40, 69, 90, 110, 118, 98, 78, 49, 63, 35, 16, 14, 31, 56, 81, 101, 121, 117, 97, 77, 47, 26, 50, 60, 37, 32, 57, 82, 102, 122, 116, 96, 76, 46, 24, 11, 27, 52, 65, 58, 83, 103, 123, 115, 95, 75, 45, 23, 9, 4, 12, 29, 54, 80, 100, 120, 114, 94, 74, 44, 22, 8)(131, 132, 136, 146, 164, 190, 183, 157, 143, 134)(133, 139, 147, 138, 151, 165, 192, 180, 158, 141)(135, 144, 148, 167, 191, 182, 160, 142, 150, 137)(140, 154, 166, 153, 172, 152, 173, 193, 181, 156)(145, 162, 168, 195, 185, 159, 171, 149, 169, 161)(155, 177, 194, 176, 201, 175, 202, 174, 203, 179)(163, 188, 196, 184, 200, 170, 198, 186, 197, 187)(178, 208, 215, 207, 221, 206, 222, 205, 223, 204)(189, 210, 216, 199, 219, 211, 218, 212, 217, 213)(209, 224, 235, 228, 241, 227, 242, 226, 243, 225)(214, 220, 236, 231, 239, 232, 238, 233, 237, 230)(229, 245, 255, 244, 259, 248, 260, 247, 254, 246)(234, 251, 249, 252, 258, 253, 257, 250, 256, 240)
	L = (1, 131)(2, 132)(3, 133)(4, 134)(5, 135)(6, 136)(7, 137)(8, 138)(9, 139)(10, 140)(11, 141)(12, 142)(13, 143)(14, 144)(15, 145)(16, 146)(17, 147)(18, 148)(19, 149)(20, 150)(21, 151)(22, 152)(23, 153)(24, 154)(25, 155)(26, 156)(27, 157)(28, 158)(29, 159)(30, 160)(31, 161)(32, 162)(33, 163)(34, 164)(35, 165)(36, 166)(37, 167)(38, 168)(39, 169)(40, 170)(41, 171)(42, 172)(43, 173)(44, 174)(45, 175)(46, 176)(47, 177)(48, 178)(49, 179)(50, 180)(51, 181)(52, 182)(53, 183)(54, 184)(55, 185)(56, 186)(57, 187)(58, 188)(59, 189)(60, 190)(61, 191)(62, 192)(63, 193)(64, 194)(65, 195)(66, 196)(67, 197)(68, 198)(69, 199)(70, 200)(71, 201)(72, 202)(73, 203)(74, 204)(75, 205)(76, 206)(77, 207)(78, 208)(79, 209)(80, 210)(81, 211)(82, 212)(83, 213)(84, 214)(85, 215)(86, 216)(87, 217)(88, 218)(89, 219)(90, 220)(91, 221)(92, 222)(93, 223)(94, 224)(95, 225)(96, 226)(97, 227)(98, 228)(99, 229)(100, 230)(101, 231)(102, 232)(103, 233)(104, 234)(105, 235)(106, 236)(107, 237)(108, 238)(109, 239)(110, 240)(111, 241)(112, 242)(113, 243)(114, 244)(115, 245)(116, 246)(117, 247)(118, 248)(119, 249)(120, 250)(121, 251)(122, 252)(123, 253)(124, 254)(125, 255)(126, 256)(127, 257)(128, 258)(129, 259)(130, 260)
	local type(s) :: { ( 4^10 ), ( 4^65 ) }
Outer automorphisms :: reflexible
Dual of E26.1306
Transitivity :: ET+
Graph:: bipartite
	v = 15 e = 130 f = 65
	degree seq :: [ 10^13, 65^2 ]

E26.1303 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 10, 65})
Quotient :: edge
Aut^+ = C5 x D26 (small group id <130, 2>)
Aut   = D10 x D26 (small group id <260, 11>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, (T1^5 * T2)^2, T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2, T1^2 * T2 * T1^-9 * T2 * T1^2 ]
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, 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, 121)(103, 125)(106, 126)(109, 127)(112, 124)(115, 128)(122, 129)(123, 130)(131, 132, 135, 141, 153, 173, 201, 231, 246, 218, 243, 222, 189, 164, 147, 159, 179, 207, 235, 255, 259, 247, 219, 186, 214, 240, 223, 190, 165, 183, 211, 238, 256, 260, 248, 220, 187, 162, 182, 210, 237, 224, 191, 215, 241, 257, 258, 249, 221, 188, 163, 146, 158, 178, 206, 234, 225, 244, 254, 230, 200, 172, 152, 140, 134)(133, 137, 145, 161, 185, 217, 245, 236, 204, 174, 203, 194, 168, 150, 139, 149, 167, 193, 226, 250, 239, 208, 176, 154, 175, 205, 196, 170, 151, 169, 195, 227, 251, 242, 212, 180, 156, 142, 155, 177, 209, 198, 171, 197, 228, 252, 232, 216, 184, 160, 144, 136, 143, 157, 181, 213, 199, 229, 253, 233, 202, 192, 166, 148, 138)
	L = (1, 131)(2, 132)(3, 133)(4, 134)(5, 135)(6, 136)(7, 137)(8, 138)(9, 139)(10, 140)(11, 141)(12, 142)(13, 143)(14, 144)(15, 145)(16, 146)(17, 147)(18, 148)(19, 149)(20, 150)(21, 151)(22, 152)(23, 153)(24, 154)(25, 155)(26, 156)(27, 157)(28, 158)(29, 159)(30, 160)(31, 161)(32, 162)(33, 163)(34, 164)(35, 165)(36, 166)(37, 167)(38, 168)(39, 169)(40, 170)(41, 171)(42, 172)(43, 173)(44, 174)(45, 175)(46, 176)(47, 177)(48, 178)(49, 179)(50, 180)(51, 181)(52, 182)(53, 183)(54, 184)(55, 185)(56, 186)(57, 187)(58, 188)(59, 189)(60, 190)(61, 191)(62, 192)(63, 193)(64, 194)(65, 195)(66, 196)(67, 197)(68, 198)(69, 199)(70, 200)(71, 201)(72, 202)(73, 203)(74, 204)(75, 205)(76, 206)(77, 207)(78, 208)(79, 209)(80, 210)(81, 211)(82, 212)(83, 213)(84, 214)(85, 215)(86, 216)(87, 217)(88, 218)(89, 219)(90, 220)(91, 221)(92, 222)(93, 223)(94, 224)(95, 225)(96, 226)(97, 227)(98, 228)(99, 229)(100, 230)(101, 231)(102, 232)(103, 233)(104, 234)(105, 235)(106, 236)(107, 237)(108, 238)(109, 239)(110, 240)(111, 241)(112, 242)(113, 243)(114, 244)(115, 245)(116, 246)(117, 247)(118, 248)(119, 249)(120, 250)(121, 251)(122, 252)(123, 253)(124, 254)(125, 255)(126, 256)(127, 257)(128, 258)(129, 259)(130, 260)
	local type(s) :: { ( 20, 20 ), ( 20^65 ) }
Outer automorphisms :: reflexible
Dual of E26.1304
Transitivity :: ET+
Graph:: simple bipartite
	v = 67 e = 130 f = 13
	degree seq :: [ 2^65, 65^2 ]

E26.1304 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 10, 65})
Quotient :: loop
Aut^+ = C5 x D26 (small group id <130, 2>)
Aut   = D10 x D26 (small group id <260, 11>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-2 * T1 * T2^2 * T1, T2^-3 * T1 * T2^4 * T1 * T2^-1, T2^10, T2 * T1 * T2 * T1 * T2^-1 * 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)^65 ]
Map::
	R = (1, 131, 3, 133, 8, 138, 17, 147, 28, 158, 43, 173, 31, 161, 19, 149, 10, 140, 4, 134)(2, 132, 5, 135, 12, 142, 22, 152, 35, 165, 50, 180, 38, 168, 24, 154, 14, 144, 6, 136)(7, 137, 15, 145, 26, 156, 41, 171, 56, 186, 45, 175, 30, 160, 18, 148, 9, 139, 16, 146)(11, 141, 20, 150, 33, 163, 48, 178, 63, 193, 52, 182, 37, 167, 23, 153, 13, 143, 21, 151)(25, 155, 39, 169, 54, 184, 69, 199, 59, 189, 44, 174, 29, 159, 42, 172, 27, 157, 40, 170)(32, 162, 46, 176, 61, 191, 75, 205, 66, 196, 51, 181, 36, 166, 49, 179, 34, 164, 47, 177)(53, 183, 67, 197, 80, 210, 72, 202, 58, 188, 71, 201, 57, 187, 70, 200, 55, 185, 68, 198)(60, 190, 73, 203, 86, 216, 78, 208, 65, 195, 77, 207, 64, 194, 76, 206, 62, 192, 74, 204)(79, 209, 91, 221, 84, 214, 95, 225, 83, 213, 94, 224, 82, 212, 93, 223, 81, 211, 92, 222)(85, 215, 96, 226, 90, 220, 100, 230, 89, 219, 99, 229, 88, 218, 98, 228, 87, 217, 97, 227)(101, 231, 111, 241, 105, 235, 115, 245, 104, 234, 114, 244, 103, 233, 113, 243, 102, 232, 112, 242)(106, 236, 116, 246, 110, 240, 120, 250, 109, 239, 119, 249, 108, 238, 118, 248, 107, 237, 117, 247)(121, 251, 128, 258, 125, 255, 127, 257, 124, 254, 126, 256, 123, 253, 130, 260, 122, 252, 129, 259)
	L = (1, 132)(2, 131)(3, 137)(4, 139)(5, 141)(6, 143)(7, 133)(8, 142)(9, 134)(10, 144)(11, 135)(12, 138)(13, 136)(14, 140)(15, 155)(16, 157)(17, 156)(18, 159)(19, 160)(20, 162)(21, 164)(22, 163)(23, 166)(24, 167)(25, 145)(26, 147)(27, 146)(28, 165)(29, 148)(30, 149)(31, 168)(32, 150)(33, 152)(34, 151)(35, 158)(36, 153)(37, 154)(38, 161)(39, 183)(40, 185)(41, 184)(42, 187)(43, 186)(44, 188)(45, 189)(46, 190)(47, 192)(48, 191)(49, 194)(50, 193)(51, 195)(52, 196)(53, 169)(54, 171)(55, 170)(56, 173)(57, 172)(58, 174)(59, 175)(60, 176)(61, 178)(62, 177)(63, 180)(64, 179)(65, 181)(66, 182)(67, 209)(68, 211)(69, 210)(70, 212)(71, 213)(72, 214)(73, 215)(74, 217)(75, 216)(76, 218)(77, 219)(78, 220)(79, 197)(80, 199)(81, 198)(82, 200)(83, 201)(84, 202)(85, 203)(86, 205)(87, 204)(88, 206)(89, 207)(90, 208)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 241)(122, 242)(123, 243)(124, 244)(125, 245)(126, 246)(127, 247)(128, 248)(129, 249)(130, 250)
	local type(s) :: { ( 2, 65, 2, 65, 2, 65, 2, 65, 2, 65, 2, 65, 2, 65, 2, 65, 2, 65, 2, 65 ) }
Outer automorphisms :: reflexible
Dual of E26.1303
Transitivity :: ET+ VT+ AT
Graph::
	v = 13 e = 130 f = 67
	degree seq :: [ 20^13 ]

E26.1305 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 10, 65})
Quotient :: loop
Aut^+ = C5 x D26 (small group id <130, 2>)
Aut   = D10 x D26 (small group id <260, 11>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^2 * T2^-1, T2^2 * T1^-1 * T2 * T1^-2 * T2 * T1^-3, (T2^-4 * T1)^2, T1^10, T2^-9 * T1^-1 * T2^4 * T1 ]
Map::
	R = (1, 131, 3, 133, 10, 140, 25, 155, 48, 178, 79, 209, 99, 229, 119, 249, 106, 236, 86, 216, 66, 196, 38, 168, 18, 148, 6, 136, 17, 147, 36, 166, 64, 194, 85, 215, 105, 235, 125, 255, 128, 258, 109, 239, 89, 219, 70, 200, 55, 185, 61, 191, 34, 164, 21, 151, 42, 172, 71, 201, 91, 221, 111, 241, 129, 259, 127, 257, 108, 238, 88, 218, 68, 198, 41, 171, 30, 160, 53, 183, 62, 192, 43, 173, 72, 202, 92, 222, 112, 242, 130, 260, 126, 256, 107, 237, 87, 217, 67, 197, 39, 169, 20, 150, 13, 143, 28, 158, 51, 181, 73, 203, 93, 223, 113, 243, 124, 254, 104, 234, 84, 214, 59, 189, 33, 163, 15, 145, 5, 135)(2, 132, 7, 137, 19, 149, 40, 170, 69, 199, 90, 220, 110, 240, 118, 248, 98, 228, 78, 208, 49, 179, 63, 193, 35, 165, 16, 146, 14, 144, 31, 161, 56, 186, 81, 211, 101, 231, 121, 251, 117, 247, 97, 227, 77, 207, 47, 177, 26, 156, 50, 180, 60, 190, 37, 167, 32, 162, 57, 187, 82, 212, 102, 232, 122, 252, 116, 246, 96, 226, 76, 206, 46, 176, 24, 154, 11, 141, 27, 157, 52, 182, 65, 195, 58, 188, 83, 213, 103, 233, 123, 253, 115, 245, 95, 225, 75, 205, 45, 175, 23, 153, 9, 139, 4, 134, 12, 142, 29, 159, 54, 184, 80, 210, 100, 230, 120, 250, 114, 244, 94, 224, 74, 204, 44, 174, 22, 152, 8, 138)
	L = (1, 132)(2, 136)(3, 139)(4, 131)(5, 144)(6, 146)(7, 135)(8, 151)(9, 147)(10, 154)(11, 133)(12, 150)(13, 134)(14, 148)(15, 162)(16, 164)(17, 138)(18, 167)(19, 169)(20, 137)(21, 165)(22, 173)(23, 172)(24, 166)(25, 177)(26, 140)(27, 143)(28, 141)(29, 171)(30, 142)(31, 145)(32, 168)(33, 188)(34, 190)(35, 192)(36, 153)(37, 191)(38, 195)(39, 161)(40, 198)(41, 149)(42, 152)(43, 193)(44, 203)(45, 202)(46, 201)(47, 194)(48, 208)(49, 155)(50, 158)(51, 156)(52, 160)(53, 157)(54, 200)(55, 159)(56, 197)(57, 163)(58, 196)(59, 210)(60, 183)(61, 182)(62, 180)(63, 181)(64, 176)(65, 185)(66, 184)(67, 187)(68, 186)(69, 219)(70, 170)(71, 175)(72, 174)(73, 179)(74, 178)(75, 223)(76, 222)(77, 221)(78, 215)(79, 224)(80, 216)(81, 218)(82, 217)(83, 189)(84, 220)(85, 207)(86, 199)(87, 213)(88, 212)(89, 211)(90, 236)(91, 206)(92, 205)(93, 204)(94, 235)(95, 209)(96, 243)(97, 242)(98, 241)(99, 245)(100, 214)(101, 239)(102, 238)(103, 237)(104, 251)(105, 228)(106, 231)(107, 230)(108, 233)(109, 232)(110, 234)(111, 227)(112, 226)(113, 225)(114, 259)(115, 255)(116, 229)(117, 254)(118, 260)(119, 252)(120, 256)(121, 249)(122, 258)(123, 257)(124, 246)(125, 244)(126, 240)(127, 250)(128, 253)(129, 248)(130, 247)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1301
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 130 f = 78
	degree seq :: [ 130^2 ]

E26.1306 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 10, 65})
Quotient :: loop
Aut^+ = C5 x D26 (small group id <130, 2>)
Aut   = D10 x D26 (small group id <260, 11>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, (T1^5 * T2)^2, T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2, T1^2 * T2 * T1^-9 * T2 * T1^2 ]
Map:: polytopal non-degenerate
	R = (1, 131, 3, 133)(2, 132, 6, 136)(4, 134, 9, 139)(5, 135, 12, 142)(7, 137, 16, 146)(8, 138, 17, 147)(10, 140, 21, 151)(11, 141, 24, 154)(13, 143, 28, 158)(14, 144, 29, 159)(15, 145, 32, 162)(18, 148, 35, 165)(19, 149, 33, 163)(20, 150, 34, 164)(22, 152, 41, 171)(23, 153, 44, 174)(25, 155, 48, 178)(26, 156, 49, 179)(27, 157, 52, 182)(30, 160, 53, 183)(31, 161, 56, 186)(36, 166, 61, 191)(37, 167, 57, 187)(38, 168, 60, 190)(39, 169, 58, 188)(40, 170, 59, 189)(42, 172, 69, 199)(43, 173, 72, 202)(45, 175, 76, 206)(46, 176, 77, 207)(47, 177, 80, 210)(50, 180, 81, 211)(51, 181, 84, 214)(54, 184, 85, 215)(55, 185, 88, 218)(62, 192, 95, 225)(63, 193, 89, 219)(64, 194, 94, 224)(65, 195, 90, 220)(66, 196, 93, 223)(67, 197, 91, 221)(68, 198, 92, 222)(70, 200, 87, 217)(71, 201, 102, 232)(73, 203, 104, 234)(74, 204, 105, 235)(75, 205, 107, 237)(78, 208, 108, 238)(79, 209, 110, 240)(82, 212, 111, 241)(83, 213, 113, 243)(86, 216, 114, 244)(96, 226, 116, 246)(97, 227, 117, 247)(98, 228, 118, 248)(99, 229, 119, 249)(100, 230, 120, 250)(101, 231, 121, 251)(103, 233, 125, 255)(106, 236, 126, 256)(109, 239, 127, 257)(112, 242, 124, 254)(115, 245, 128, 258)(122, 252, 129, 259)(123, 253, 130, 260)
	L = (1, 132)(2, 135)(3, 137)(4, 131)(5, 141)(6, 143)(7, 145)(8, 133)(9, 149)(10, 134)(11, 153)(12, 155)(13, 157)(14, 136)(15, 161)(16, 158)(17, 159)(18, 138)(19, 167)(20, 139)(21, 169)(22, 140)(23, 173)(24, 175)(25, 177)(26, 142)(27, 181)(28, 178)(29, 179)(30, 144)(31, 185)(32, 182)(33, 146)(34, 147)(35, 183)(36, 148)(37, 193)(38, 150)(39, 195)(40, 151)(41, 197)(42, 152)(43, 201)(44, 203)(45, 205)(46, 154)(47, 209)(48, 206)(49, 207)(50, 156)(51, 213)(52, 210)(53, 211)(54, 160)(55, 217)(56, 214)(57, 162)(58, 163)(59, 164)(60, 165)(61, 215)(62, 166)(63, 226)(64, 168)(65, 227)(66, 170)(67, 228)(68, 171)(69, 229)(70, 172)(71, 231)(72, 192)(73, 194)(74, 174)(75, 196)(76, 234)(77, 235)(78, 176)(79, 198)(80, 237)(81, 238)(82, 180)(83, 199)(84, 240)(85, 241)(86, 184)(87, 245)(88, 243)(89, 186)(90, 187)(91, 188)(92, 189)(93, 190)(94, 191)(95, 244)(96, 250)(97, 251)(98, 252)(99, 253)(100, 200)(101, 246)(102, 216)(103, 202)(104, 225)(105, 255)(106, 204)(107, 224)(108, 256)(109, 208)(110, 223)(111, 257)(112, 212)(113, 222)(114, 254)(115, 236)(116, 218)(117, 219)(118, 220)(119, 221)(120, 239)(121, 242)(122, 232)(123, 233)(124, 230)(125, 259)(126, 260)(127, 258)(128, 249)(129, 247)(130, 248)
	local type(s) :: { ( 10, 65, 10, 65 ) }
Outer automorphisms :: reflexible
Dual of E26.1302
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 65 e = 130 f = 15
	degree seq :: [ 4^65 ]

E26.1307 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 65})
Quotient :: dipole
Aut^+ = C5 x D26 (small group id <130, 2>)
Aut   = D10 x D26 (small group id <260, 11>)
|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, Y2^10, Y2^-3 * Y1 * Y2^-6 * Y1 * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^65 ]
Map::
	R = (1, 131, 2, 132)(3, 133, 7, 137)(4, 134, 9, 139)(5, 135, 11, 141)(6, 136, 13, 143)(8, 138, 12, 142)(10, 140, 14, 144)(15, 145, 25, 155)(16, 146, 27, 157)(17, 147, 26, 156)(18, 148, 29, 159)(19, 149, 30, 160)(20, 150, 32, 162)(21, 151, 34, 164)(22, 152, 33, 163)(23, 153, 36, 166)(24, 154, 37, 167)(28, 158, 35, 165)(31, 161, 38, 168)(39, 169, 53, 183)(40, 170, 55, 185)(41, 171, 54, 184)(42, 172, 57, 187)(43, 173, 56, 186)(44, 174, 58, 188)(45, 175, 59, 189)(46, 176, 60, 190)(47, 177, 62, 192)(48, 178, 61, 191)(49, 179, 64, 194)(50, 180, 63, 193)(51, 181, 65, 195)(52, 182, 66, 196)(67, 197, 79, 209)(68, 198, 81, 211)(69, 199, 80, 210)(70, 200, 82, 212)(71, 201, 83, 213)(72, 202, 84, 214)(73, 203, 85, 215)(74, 204, 87, 217)(75, 205, 86, 216)(76, 206, 88, 218)(77, 207, 89, 219)(78, 208, 90, 220)(91, 221, 101, 231)(92, 222, 102, 232)(93, 223, 103, 233)(94, 224, 104, 234)(95, 225, 105, 235)(96, 226, 106, 236)(97, 227, 107, 237)(98, 228, 108, 238)(99, 229, 109, 239)(100, 230, 110, 240)(111, 241, 121, 251)(112, 242, 122, 252)(113, 243, 123, 253)(114, 244, 124, 254)(115, 245, 125, 255)(116, 246, 126, 256)(117, 247, 127, 257)(118, 248, 128, 258)(119, 249, 129, 259)(120, 250, 130, 260)(261, 391, 263, 393, 268, 398, 277, 407, 288, 418, 303, 433, 291, 421, 279, 409, 270, 400, 264, 394)(262, 392, 265, 395, 272, 402, 282, 412, 295, 425, 310, 440, 298, 428, 284, 414, 274, 404, 266, 396)(267, 397, 275, 405, 286, 416, 301, 431, 316, 446, 305, 435, 290, 420, 278, 408, 269, 399, 276, 406)(271, 401, 280, 410, 293, 423, 308, 438, 323, 453, 312, 442, 297, 427, 283, 413, 273, 403, 281, 411)(285, 415, 299, 429, 314, 444, 329, 459, 319, 449, 304, 434, 289, 419, 302, 432, 287, 417, 300, 430)(292, 422, 306, 436, 321, 451, 335, 465, 326, 456, 311, 441, 296, 426, 309, 439, 294, 424, 307, 437)(313, 443, 327, 457, 340, 470, 332, 462, 318, 448, 331, 461, 317, 447, 330, 460, 315, 445, 328, 458)(320, 450, 333, 463, 346, 476, 338, 468, 325, 455, 337, 467, 324, 454, 336, 466, 322, 452, 334, 464)(339, 469, 351, 481, 344, 474, 355, 485, 343, 473, 354, 484, 342, 472, 353, 483, 341, 471, 352, 482)(345, 475, 356, 486, 350, 480, 360, 490, 349, 479, 359, 489, 348, 478, 358, 488, 347, 477, 357, 487)(361, 491, 371, 501, 365, 495, 375, 505, 364, 494, 374, 504, 363, 493, 373, 503, 362, 492, 372, 502)(366, 496, 376, 506, 370, 500, 380, 510, 369, 499, 379, 509, 368, 498, 378, 508, 367, 497, 377, 507)(381, 511, 388, 518, 385, 515, 387, 517, 384, 514, 386, 516, 383, 513, 390, 520, 382, 512, 389, 519)
	L = (1, 262)(2, 261)(3, 267)(4, 269)(5, 271)(6, 273)(7, 263)(8, 272)(9, 264)(10, 274)(11, 265)(12, 268)(13, 266)(14, 270)(15, 285)(16, 287)(17, 286)(18, 289)(19, 290)(20, 292)(21, 294)(22, 293)(23, 296)(24, 297)(25, 275)(26, 277)(27, 276)(28, 295)(29, 278)(30, 279)(31, 298)(32, 280)(33, 282)(34, 281)(35, 288)(36, 283)(37, 284)(38, 291)(39, 313)(40, 315)(41, 314)(42, 317)(43, 316)(44, 318)(45, 319)(46, 320)(47, 322)(48, 321)(49, 324)(50, 323)(51, 325)(52, 326)(53, 299)(54, 301)(55, 300)(56, 303)(57, 302)(58, 304)(59, 305)(60, 306)(61, 308)(62, 307)(63, 310)(64, 309)(65, 311)(66, 312)(67, 339)(68, 341)(69, 340)(70, 342)(71, 343)(72, 344)(73, 345)(74, 347)(75, 346)(76, 348)(77, 349)(78, 350)(79, 327)(80, 329)(81, 328)(82, 330)(83, 331)(84, 332)(85, 333)(86, 335)(87, 334)(88, 336)(89, 337)(90, 338)(91, 361)(92, 362)(93, 363)(94, 364)(95, 365)(96, 366)(97, 367)(98, 368)(99, 369)(100, 370)(101, 351)(102, 352)(103, 353)(104, 354)(105, 355)(106, 356)(107, 357)(108, 358)(109, 359)(110, 360)(111, 381)(112, 382)(113, 383)(114, 384)(115, 385)(116, 386)(117, 387)(118, 388)(119, 389)(120, 390)(121, 371)(122, 372)(123, 373)(124, 374)(125, 375)(126, 376)(127, 377)(128, 378)(129, 379)(130, 380)(131, 391)(132, 392)(133, 393)(134, 394)(135, 395)(136, 396)(137, 397)(138, 398)(139, 399)(140, 400)(141, 401)(142, 402)(143, 403)(144, 404)(145, 405)(146, 406)(147, 407)(148, 408)(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, 437)(178, 438)(179, 439)(180, 440)(181, 441)(182, 442)(183, 443)(184, 444)(185, 445)(186, 446)(187, 447)(188, 448)(189, 449)(190, 450)(191, 451)(192, 452)(193, 453)(194, 454)(195, 455)(196, 456)(197, 457)(198, 458)(199, 459)(200, 460)(201, 461)(202, 462)(203, 463)(204, 464)(205, 465)(206, 466)(207, 467)(208, 468)(209, 469)(210, 470)(211, 471)(212, 472)(213, 473)(214, 474)(215, 475)(216, 476)(217, 477)(218, 478)(219, 479)(220, 480)(221, 481)(222, 482)(223, 483)(224, 484)(225, 485)(226, 486)(227, 487)(228, 488)(229, 489)(230, 490)(231, 491)(232, 492)(233, 493)(234, 494)(235, 495)(236, 496)(237, 497)(238, 498)(239, 499)(240, 500)(241, 501)(242, 502)(243, 503)(244, 504)(245, 505)(246, 506)(247, 507)(248, 508)(249, 509)(250, 510)(251, 511)(252, 512)(253, 513)(254, 514)(255, 515)(256, 516)(257, 517)(258, 518)(259, 519)(260, 520)
	local type(s) :: { ( 2, 130, 2, 130 ), ( 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130, 2, 130 ) }
Outer automorphisms :: reflexible
Dual of E26.1310
Graph:: bipartite
	v = 78 e = 260 f = 132
	degree seq :: [ 4^65, 20^13 ]

E26.1308 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 65})
Quotient :: dipole
Aut^+ = C5 x D26 (small group id <130, 2>)
Aut   = D10 x D26 (small group id <260, 11>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2 * Y1)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y1^-2 * Y2 * Y1^2 * Y2^-1, Y2^2 * Y1^-1 * Y2 * Y1^-2 * Y2 * Y1^-3, (Y2^-4 * Y1)^2, Y1^10, Y2^-5 * Y1 * Y2^4 * Y1^-1 * Y2^-4 ]
Map::
	R = (1, 131, 2, 132, 6, 136, 16, 146, 34, 164, 60, 190, 53, 183, 27, 157, 13, 143, 4, 134)(3, 133, 9, 139, 17, 147, 8, 138, 21, 151, 35, 165, 62, 192, 50, 180, 28, 158, 11, 141)(5, 135, 14, 144, 18, 148, 37, 167, 61, 191, 52, 182, 30, 160, 12, 142, 20, 150, 7, 137)(10, 140, 24, 154, 36, 166, 23, 153, 42, 172, 22, 152, 43, 173, 63, 193, 51, 181, 26, 156)(15, 145, 32, 162, 38, 168, 65, 195, 55, 185, 29, 159, 41, 171, 19, 149, 39, 169, 31, 161)(25, 155, 47, 177, 64, 194, 46, 176, 71, 201, 45, 175, 72, 202, 44, 174, 73, 203, 49, 179)(33, 163, 58, 188, 66, 196, 54, 184, 70, 200, 40, 170, 68, 198, 56, 186, 67, 197, 57, 187)(48, 178, 78, 208, 85, 215, 77, 207, 91, 221, 76, 206, 92, 222, 75, 205, 93, 223, 74, 204)(59, 189, 80, 210, 86, 216, 69, 199, 89, 219, 81, 211, 88, 218, 82, 212, 87, 217, 83, 213)(79, 209, 94, 224, 105, 235, 98, 228, 111, 241, 97, 227, 112, 242, 96, 226, 113, 243, 95, 225)(84, 214, 90, 220, 106, 236, 101, 231, 109, 239, 102, 232, 108, 238, 103, 233, 107, 237, 100, 230)(99, 229, 115, 245, 125, 255, 114, 244, 129, 259, 118, 248, 130, 260, 117, 247, 124, 254, 116, 246)(104, 234, 121, 251, 119, 249, 122, 252, 128, 258, 123, 253, 127, 257, 120, 250, 126, 256, 110, 240)(261, 391, 263, 393, 270, 400, 285, 415, 308, 438, 339, 469, 359, 489, 379, 509, 366, 496, 346, 476, 326, 456, 298, 428, 278, 408, 266, 396, 277, 407, 296, 426, 324, 454, 345, 475, 365, 495, 385, 515, 388, 518, 369, 499, 349, 479, 330, 460, 315, 445, 321, 451, 294, 424, 281, 411, 302, 432, 331, 461, 351, 481, 371, 501, 389, 519, 387, 517, 368, 498, 348, 478, 328, 458, 301, 431, 290, 420, 313, 443, 322, 452, 303, 433, 332, 462, 352, 482, 372, 502, 390, 520, 386, 516, 367, 497, 347, 477, 327, 457, 299, 429, 280, 410, 273, 403, 288, 418, 311, 441, 333, 463, 353, 483, 373, 503, 384, 514, 364, 494, 344, 474, 319, 449, 293, 423, 275, 405, 265, 395)(262, 392, 267, 397, 279, 409, 300, 430, 329, 459, 350, 480, 370, 500, 378, 508, 358, 488, 338, 468, 309, 439, 323, 453, 295, 425, 276, 406, 274, 404, 291, 421, 316, 446, 341, 471, 361, 491, 381, 511, 377, 507, 357, 487, 337, 467, 307, 437, 286, 416, 310, 440, 320, 450, 297, 427, 292, 422, 317, 447, 342, 472, 362, 492, 382, 512, 376, 506, 356, 486, 336, 466, 306, 436, 284, 414, 271, 401, 287, 417, 312, 442, 325, 455, 318, 448, 343, 473, 363, 493, 383, 513, 375, 505, 355, 485, 335, 465, 305, 435, 283, 413, 269, 399, 264, 394, 272, 402, 289, 419, 314, 444, 340, 470, 360, 490, 380, 510, 374, 504, 354, 484, 334, 464, 304, 434, 282, 412, 268, 398)
	L = (1, 263)(2, 267)(3, 270)(4, 272)(5, 261)(6, 277)(7, 279)(8, 262)(9, 264)(10, 285)(11, 287)(12, 289)(13, 288)(14, 291)(15, 265)(16, 274)(17, 296)(18, 266)(19, 300)(20, 273)(21, 302)(22, 268)(23, 269)(24, 271)(25, 308)(26, 310)(27, 312)(28, 311)(29, 314)(30, 313)(31, 316)(32, 317)(33, 275)(34, 281)(35, 276)(36, 324)(37, 292)(38, 278)(39, 280)(40, 329)(41, 290)(42, 331)(43, 332)(44, 282)(45, 283)(46, 284)(47, 286)(48, 339)(49, 323)(50, 320)(51, 333)(52, 325)(53, 322)(54, 340)(55, 321)(56, 341)(57, 342)(58, 343)(59, 293)(60, 297)(61, 294)(62, 303)(63, 295)(64, 345)(65, 318)(66, 298)(67, 299)(68, 301)(69, 350)(70, 315)(71, 351)(72, 352)(73, 353)(74, 304)(75, 305)(76, 306)(77, 307)(78, 309)(79, 359)(80, 360)(81, 361)(82, 362)(83, 363)(84, 319)(85, 365)(86, 326)(87, 327)(88, 328)(89, 330)(90, 370)(91, 371)(92, 372)(93, 373)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 379)(100, 380)(101, 381)(102, 382)(103, 383)(104, 344)(105, 385)(106, 346)(107, 347)(108, 348)(109, 349)(110, 378)(111, 389)(112, 390)(113, 384)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 366)(120, 374)(121, 377)(122, 376)(123, 375)(124, 364)(125, 388)(126, 367)(127, 368)(128, 369)(129, 387)(130, 386)(131, 391)(132, 392)(133, 393)(134, 394)(135, 395)(136, 396)(137, 397)(138, 398)(139, 399)(140, 400)(141, 401)(142, 402)(143, 403)(144, 404)(145, 405)(146, 406)(147, 407)(148, 408)(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, 437)(178, 438)(179, 439)(180, 440)(181, 441)(182, 442)(183, 443)(184, 444)(185, 445)(186, 446)(187, 447)(188, 448)(189, 449)(190, 450)(191, 451)(192, 452)(193, 453)(194, 454)(195, 455)(196, 456)(197, 457)(198, 458)(199, 459)(200, 460)(201, 461)(202, 462)(203, 463)(204, 464)(205, 465)(206, 466)(207, 467)(208, 468)(209, 469)(210, 470)(211, 471)(212, 472)(213, 473)(214, 474)(215, 475)(216, 476)(217, 477)(218, 478)(219, 479)(220, 480)(221, 481)(222, 482)(223, 483)(224, 484)(225, 485)(226, 486)(227, 487)(228, 488)(229, 489)(230, 490)(231, 491)(232, 492)(233, 493)(234, 494)(235, 495)(236, 496)(237, 497)(238, 498)(239, 499)(240, 500)(241, 501)(242, 502)(243, 503)(244, 504)(245, 505)(246, 506)(247, 507)(248, 508)(249, 509)(250, 510)(251, 511)(252, 512)(253, 513)(254, 514)(255, 515)(256, 516)(257, 517)(258, 518)(259, 519)(260, 520)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1309
Graph:: bipartite
	v = 15 e = 260 f = 195
	degree seq :: [ 20^13, 130^2 ]

E26.1309 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 65})
Quotient :: dipole
Aut^+ = C5 x D26 (small group id <130, 2>)
Aut   = D10 x D26 (small group id <260, 11>)
|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 * Y3^3)^2, Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^-2 * Y2 * Y3^-2, Y3^6 * Y2 * Y3^-4 * Y2 * Y3^3, (Y3^-1 * Y1^-1)^65 ]
Map:: polytopal
	R = (1, 131)(2, 132)(3, 133)(4, 134)(5, 135)(6, 136)(7, 137)(8, 138)(9, 139)(10, 140)(11, 141)(12, 142)(13, 143)(14, 144)(15, 145)(16, 146)(17, 147)(18, 148)(19, 149)(20, 150)(21, 151)(22, 152)(23, 153)(24, 154)(25, 155)(26, 156)(27, 157)(28, 158)(29, 159)(30, 160)(31, 161)(32, 162)(33, 163)(34, 164)(35, 165)(36, 166)(37, 167)(38, 168)(39, 169)(40, 170)(41, 171)(42, 172)(43, 173)(44, 174)(45, 175)(46, 176)(47, 177)(48, 178)(49, 179)(50, 180)(51, 181)(52, 182)(53, 183)(54, 184)(55, 185)(56, 186)(57, 187)(58, 188)(59, 189)(60, 190)(61, 191)(62, 192)(63, 193)(64, 194)(65, 195)(66, 196)(67, 197)(68, 198)(69, 199)(70, 200)(71, 201)(72, 202)(73, 203)(74, 204)(75, 205)(76, 206)(77, 207)(78, 208)(79, 209)(80, 210)(81, 211)(82, 212)(83, 213)(84, 214)(85, 215)(86, 216)(87, 217)(88, 218)(89, 219)(90, 220)(91, 221)(92, 222)(93, 223)(94, 224)(95, 225)(96, 226)(97, 227)(98, 228)(99, 229)(100, 230)(101, 231)(102, 232)(103, 233)(104, 234)(105, 235)(106, 236)(107, 237)(108, 238)(109, 239)(110, 240)(111, 241)(112, 242)(113, 243)(114, 244)(115, 245)(116, 246)(117, 247)(118, 248)(119, 249)(120, 250)(121, 251)(122, 252)(123, 253)(124, 254)(125, 255)(126, 256)(127, 257)(128, 258)(129, 259)(130, 260)(261, 391, 262, 392)(263, 393, 267, 397)(264, 394, 269, 399)(265, 395, 271, 401)(266, 396, 273, 403)(268, 398, 277, 407)(270, 400, 281, 411)(272, 402, 285, 415)(274, 404, 289, 419)(275, 405, 283, 413)(276, 406, 287, 417)(278, 408, 295, 425)(279, 409, 284, 414)(280, 410, 288, 418)(282, 412, 301, 431)(286, 416, 307, 437)(290, 420, 313, 443)(291, 421, 305, 435)(292, 422, 311, 441)(293, 423, 303, 433)(294, 424, 309, 439)(296, 426, 321, 451)(297, 427, 306, 436)(298, 428, 312, 442)(299, 429, 304, 434)(300, 430, 310, 440)(302, 432, 329, 459)(308, 438, 337, 467)(314, 444, 345, 475)(315, 445, 335, 465)(316, 446, 343, 473)(317, 447, 333, 463)(318, 448, 341, 471)(319, 449, 331, 461)(320, 450, 339, 469)(322, 452, 346, 476)(323, 453, 336, 466)(324, 454, 344, 474)(325, 455, 334, 464)(326, 456, 342, 472)(327, 457, 332, 462)(328, 458, 340, 470)(330, 460, 338, 468)(347, 477, 367, 497)(348, 478, 373, 503)(349, 479, 365, 495)(350, 480, 372, 502)(351, 481, 363, 493)(352, 482, 371, 501)(353, 483, 361, 491)(354, 484, 370, 500)(355, 485, 375, 505)(356, 486, 368, 498)(357, 487, 366, 496)(358, 488, 364, 494)(359, 489, 362, 492)(360, 490, 380, 510)(369, 499, 385, 515)(374, 504, 388, 518)(376, 506, 384, 514)(377, 507, 390, 520)(378, 508, 389, 519)(379, 509, 381, 511)(382, 512, 387, 517)(383, 513, 386, 516)
	L = (1, 263)(2, 265)(3, 268)(4, 261)(5, 272)(6, 262)(7, 275)(8, 278)(9, 279)(10, 264)(11, 283)(12, 286)(13, 287)(14, 266)(15, 291)(16, 267)(17, 293)(18, 296)(19, 297)(20, 269)(21, 299)(22, 270)(23, 303)(24, 271)(25, 305)(26, 308)(27, 309)(28, 273)(29, 311)(30, 274)(31, 315)(32, 276)(33, 317)(34, 277)(35, 319)(36, 322)(37, 323)(38, 280)(39, 325)(40, 281)(41, 327)(42, 282)(43, 331)(44, 284)(45, 333)(46, 285)(47, 335)(48, 338)(49, 339)(50, 288)(51, 341)(52, 289)(53, 343)(54, 290)(55, 347)(56, 292)(57, 349)(58, 294)(59, 351)(60, 295)(61, 353)(62, 355)(63, 356)(64, 298)(65, 357)(66, 300)(67, 358)(68, 301)(69, 359)(70, 302)(71, 361)(72, 304)(73, 363)(74, 306)(75, 365)(76, 307)(77, 367)(78, 369)(79, 370)(80, 310)(81, 371)(82, 312)(83, 372)(84, 313)(85, 373)(86, 314)(87, 329)(88, 316)(89, 328)(90, 318)(91, 326)(92, 320)(93, 324)(94, 321)(95, 379)(96, 380)(97, 381)(98, 382)(99, 383)(100, 330)(101, 345)(102, 332)(103, 344)(104, 334)(105, 342)(106, 336)(107, 340)(108, 337)(109, 378)(110, 388)(111, 389)(112, 390)(113, 384)(114, 346)(115, 348)(116, 350)(117, 352)(118, 354)(119, 368)(120, 377)(121, 376)(122, 375)(123, 374)(124, 360)(125, 362)(126, 364)(127, 366)(128, 387)(129, 386)(130, 385)(131, 391)(132, 392)(133, 393)(134, 394)(135, 395)(136, 396)(137, 397)(138, 398)(139, 399)(140, 400)(141, 401)(142, 402)(143, 403)(144, 404)(145, 405)(146, 406)(147, 407)(148, 408)(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, 437)(178, 438)(179, 439)(180, 440)(181, 441)(182, 442)(183, 443)(184, 444)(185, 445)(186, 446)(187, 447)(188, 448)(189, 449)(190, 450)(191, 451)(192, 452)(193, 453)(194, 454)(195, 455)(196, 456)(197, 457)(198, 458)(199, 459)(200, 460)(201, 461)(202, 462)(203, 463)(204, 464)(205, 465)(206, 466)(207, 467)(208, 468)(209, 469)(210, 470)(211, 471)(212, 472)(213, 473)(214, 474)(215, 475)(216, 476)(217, 477)(218, 478)(219, 479)(220, 480)(221, 481)(222, 482)(223, 483)(224, 484)(225, 485)(226, 486)(227, 487)(228, 488)(229, 489)(230, 490)(231, 491)(232, 492)(233, 493)(234, 494)(235, 495)(236, 496)(237, 497)(238, 498)(239, 499)(240, 500)(241, 501)(242, 502)(243, 503)(244, 504)(245, 505)(246, 506)(247, 507)(248, 508)(249, 509)(250, 510)(251, 511)(252, 512)(253, 513)(254, 514)(255, 515)(256, 516)(257, 517)(258, 518)(259, 519)(260, 520)
	local type(s) :: { ( 20, 130 ), ( 20, 130, 20, 130 ) }
Outer automorphisms :: reflexible
Dual of E26.1308
Graph:: simple bipartite
	v = 195 e = 260 f = 15
	degree seq :: [ 2^130, 4^65 ]

E26.1310 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 65})
Quotient :: dipole
Aut^+ = C5 x D26 (small group id <130, 2>)
Aut   = D10 x D26 (small group id <260, 11>)
|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 * Y3 * Y1^-1, Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3, (Y1^-5 * Y3)^2, Y1^9 * Y3 * Y1^-4 * Y3 ]
Map::
	R = (1, 131, 2, 132, 5, 135, 11, 141, 23, 153, 43, 173, 71, 201, 101, 231, 116, 246, 88, 218, 113, 243, 92, 222, 59, 189, 34, 164, 17, 147, 29, 159, 49, 179, 77, 207, 105, 235, 125, 255, 129, 259, 117, 247, 89, 219, 56, 186, 84, 214, 110, 240, 93, 223, 60, 190, 35, 165, 53, 183, 81, 211, 108, 238, 126, 256, 130, 260, 118, 248, 90, 220, 57, 187, 32, 162, 52, 182, 80, 210, 107, 237, 94, 224, 61, 191, 85, 215, 111, 241, 127, 257, 128, 258, 119, 249, 91, 221, 58, 188, 33, 163, 16, 146, 28, 158, 48, 178, 76, 206, 104, 234, 95, 225, 114, 244, 124, 254, 100, 230, 70, 200, 42, 172, 22, 152, 10, 140, 4, 134)(3, 133, 7, 137, 15, 145, 31, 161, 55, 185, 87, 217, 115, 245, 106, 236, 74, 204, 44, 174, 73, 203, 64, 194, 38, 168, 20, 150, 9, 139, 19, 149, 37, 167, 63, 193, 96, 226, 120, 250, 109, 239, 78, 208, 46, 176, 24, 154, 45, 175, 75, 205, 66, 196, 40, 170, 21, 151, 39, 169, 65, 195, 97, 227, 121, 251, 112, 242, 82, 212, 50, 180, 26, 156, 12, 142, 25, 155, 47, 177, 79, 209, 68, 198, 41, 171, 67, 197, 98, 228, 122, 252, 102, 232, 86, 216, 54, 184, 30, 160, 14, 144, 6, 136, 13, 143, 27, 157, 51, 181, 83, 213, 69, 199, 99, 229, 123, 253, 103, 233, 72, 202, 62, 192, 36, 166, 18, 148, 8, 138)(261, 391)(262, 392)(263, 393)(264, 394)(265, 395)(266, 396)(267, 397)(268, 398)(269, 399)(270, 400)(271, 401)(272, 402)(273, 403)(274, 404)(275, 405)(276, 406)(277, 407)(278, 408)(279, 409)(280, 410)(281, 411)(282, 412)(283, 413)(284, 414)(285, 415)(286, 416)(287, 417)(288, 418)(289, 419)(290, 420)(291, 421)(292, 422)(293, 423)(294, 424)(295, 425)(296, 426)(297, 427)(298, 428)(299, 429)(300, 430)(301, 431)(302, 432)(303, 433)(304, 434)(305, 435)(306, 436)(307, 437)(308, 438)(309, 439)(310, 440)(311, 441)(312, 442)(313, 443)(314, 444)(315, 445)(316, 446)(317, 447)(318, 448)(319, 449)(320, 450)(321, 451)(322, 452)(323, 453)(324, 454)(325, 455)(326, 456)(327, 457)(328, 458)(329, 459)(330, 460)(331, 461)(332, 462)(333, 463)(334, 464)(335, 465)(336, 466)(337, 467)(338, 468)(339, 469)(340, 470)(341, 471)(342, 472)(343, 473)(344, 474)(345, 475)(346, 476)(347, 477)(348, 478)(349, 479)(350, 480)(351, 481)(352, 482)(353, 483)(354, 484)(355, 485)(356, 486)(357, 487)(358, 488)(359, 489)(360, 490)(361, 491)(362, 492)(363, 493)(364, 494)(365, 495)(366, 496)(367, 497)(368, 498)(369, 499)(370, 500)(371, 501)(372, 502)(373, 503)(374, 504)(375, 505)(376, 506)(377, 507)(378, 508)(379, 509)(380, 510)(381, 511)(382, 512)(383, 513)(384, 514)(385, 515)(386, 516)(387, 517)(388, 518)(389, 519)(390, 520)
	L = (1, 263)(2, 266)(3, 261)(4, 269)(5, 272)(6, 262)(7, 276)(8, 277)(9, 264)(10, 281)(11, 284)(12, 265)(13, 288)(14, 289)(15, 292)(16, 267)(17, 268)(18, 295)(19, 293)(20, 294)(21, 270)(22, 301)(23, 304)(24, 271)(25, 308)(26, 309)(27, 312)(28, 273)(29, 274)(30, 313)(31, 316)(32, 275)(33, 279)(34, 280)(35, 278)(36, 321)(37, 317)(38, 320)(39, 318)(40, 319)(41, 282)(42, 329)(43, 332)(44, 283)(45, 336)(46, 337)(47, 340)(48, 285)(49, 286)(50, 341)(51, 344)(52, 287)(53, 290)(54, 345)(55, 348)(56, 291)(57, 297)(58, 299)(59, 300)(60, 298)(61, 296)(62, 355)(63, 349)(64, 354)(65, 350)(66, 353)(67, 351)(68, 352)(69, 302)(70, 347)(71, 362)(72, 303)(73, 364)(74, 365)(75, 367)(76, 305)(77, 306)(78, 368)(79, 370)(80, 307)(81, 310)(82, 371)(83, 373)(84, 311)(85, 314)(86, 374)(87, 330)(88, 315)(89, 323)(90, 325)(91, 327)(92, 328)(93, 326)(94, 324)(95, 322)(96, 376)(97, 377)(98, 378)(99, 379)(100, 380)(101, 381)(102, 331)(103, 385)(104, 333)(105, 334)(106, 386)(107, 335)(108, 338)(109, 387)(110, 339)(111, 342)(112, 384)(113, 343)(114, 346)(115, 388)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(121, 361)(122, 389)(123, 390)(124, 372)(125, 363)(126, 366)(127, 369)(128, 375)(129, 382)(130, 383)(131, 391)(132, 392)(133, 393)(134, 394)(135, 395)(136, 396)(137, 397)(138, 398)(139, 399)(140, 400)(141, 401)(142, 402)(143, 403)(144, 404)(145, 405)(146, 406)(147, 407)(148, 408)(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, 437)(178, 438)(179, 439)(180, 440)(181, 441)(182, 442)(183, 443)(184, 444)(185, 445)(186, 446)(187, 447)(188, 448)(189, 449)(190, 450)(191, 451)(192, 452)(193, 453)(194, 454)(195, 455)(196, 456)(197, 457)(198, 458)(199, 459)(200, 460)(201, 461)(202, 462)(203, 463)(204, 464)(205, 465)(206, 466)(207, 467)(208, 468)(209, 469)(210, 470)(211, 471)(212, 472)(213, 473)(214, 474)(215, 475)(216, 476)(217, 477)(218, 478)(219, 479)(220, 480)(221, 481)(222, 482)(223, 483)(224, 484)(225, 485)(226, 486)(227, 487)(228, 488)(229, 489)(230, 490)(231, 491)(232, 492)(233, 493)(234, 494)(235, 495)(236, 496)(237, 497)(238, 498)(239, 499)(240, 500)(241, 501)(242, 502)(243, 503)(244, 504)(245, 505)(246, 506)(247, 507)(248, 508)(249, 509)(250, 510)(251, 511)(252, 512)(253, 513)(254, 514)(255, 515)(256, 516)(257, 517)(258, 518)(259, 519)(260, 520)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1307
Graph:: simple bipartite
	v = 132 e = 260 f = 78
	degree seq :: [ 2^130, 130^2 ]

E26.1311 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 65})
Quotient :: dipole
Aut^+ = C5 x D26 (small group id <130, 2>)
Aut   = D10 x D26 (small group id <260, 11>)
|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, (R * Y2^4 * Y1)^2, (Y2^5 * Y1)^2, Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^2, Y2^6 * Y1 * Y2^-4 * Y1 * Y2^3, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 131, 2, 132)(3, 133, 7, 137)(4, 134, 9, 139)(5, 135, 11, 141)(6, 136, 13, 143)(8, 138, 17, 147)(10, 140, 21, 151)(12, 142, 25, 155)(14, 144, 29, 159)(15, 145, 23, 153)(16, 146, 27, 157)(18, 148, 35, 165)(19, 149, 24, 154)(20, 150, 28, 158)(22, 152, 41, 171)(26, 156, 47, 177)(30, 160, 53, 183)(31, 161, 45, 175)(32, 162, 51, 181)(33, 163, 43, 173)(34, 164, 49, 179)(36, 166, 61, 191)(37, 167, 46, 176)(38, 168, 52, 182)(39, 169, 44, 174)(40, 170, 50, 180)(42, 172, 69, 199)(48, 178, 77, 207)(54, 184, 85, 215)(55, 185, 75, 205)(56, 186, 83, 213)(57, 187, 73, 203)(58, 188, 81, 211)(59, 189, 71, 201)(60, 190, 79, 209)(62, 192, 86, 216)(63, 193, 76, 206)(64, 194, 84, 214)(65, 195, 74, 204)(66, 196, 82, 212)(67, 197, 72, 202)(68, 198, 80, 210)(70, 200, 78, 208)(87, 217, 107, 237)(88, 218, 113, 243)(89, 219, 105, 235)(90, 220, 112, 242)(91, 221, 103, 233)(92, 222, 111, 241)(93, 223, 101, 231)(94, 224, 110, 240)(95, 225, 115, 245)(96, 226, 108, 238)(97, 227, 106, 236)(98, 228, 104, 234)(99, 229, 102, 232)(100, 230, 120, 250)(109, 239, 125, 255)(114, 244, 128, 258)(116, 246, 124, 254)(117, 247, 130, 260)(118, 248, 129, 259)(119, 249, 121, 251)(122, 252, 127, 257)(123, 253, 126, 256)(261, 391, 263, 393, 268, 398, 278, 408, 296, 426, 322, 452, 355, 485, 379, 509, 368, 498, 337, 467, 367, 497, 340, 470, 310, 440, 288, 418, 273, 403, 287, 417, 309, 439, 339, 469, 370, 500, 388, 518, 387, 517, 366, 496, 336, 466, 307, 437, 335, 465, 365, 495, 342, 472, 312, 442, 289, 419, 311, 441, 341, 471, 371, 501, 389, 519, 386, 516, 364, 494, 334, 464, 306, 436, 285, 415, 305, 435, 333, 463, 363, 493, 344, 474, 313, 443, 343, 473, 372, 502, 390, 520, 385, 515, 362, 492, 332, 462, 304, 434, 284, 414, 271, 401, 283, 413, 303, 433, 331, 461, 361, 491, 345, 475, 373, 503, 384, 514, 360, 490, 330, 460, 302, 432, 282, 412, 270, 400, 264, 394)(262, 392, 265, 395, 272, 402, 286, 416, 308, 438, 338, 468, 369, 499, 378, 508, 354, 484, 321, 451, 353, 483, 324, 454, 298, 428, 280, 410, 269, 399, 279, 409, 297, 427, 323, 453, 356, 486, 380, 510, 377, 507, 352, 482, 320, 450, 295, 425, 319, 449, 351, 481, 326, 456, 300, 430, 281, 411, 299, 429, 325, 455, 357, 487, 381, 511, 376, 506, 350, 480, 318, 448, 294, 424, 277, 407, 293, 423, 317, 447, 349, 479, 328, 458, 301, 431, 327, 457, 358, 488, 382, 512, 375, 505, 348, 478, 316, 446, 292, 422, 276, 406, 267, 397, 275, 405, 291, 421, 315, 445, 347, 477, 329, 459, 359, 489, 383, 513, 374, 504, 346, 476, 314, 444, 290, 420, 274, 404, 266, 396)
	L = (1, 262)(2, 261)(3, 267)(4, 269)(5, 271)(6, 273)(7, 263)(8, 277)(9, 264)(10, 281)(11, 265)(12, 285)(13, 266)(14, 289)(15, 283)(16, 287)(17, 268)(18, 295)(19, 284)(20, 288)(21, 270)(22, 301)(23, 275)(24, 279)(25, 272)(26, 307)(27, 276)(28, 280)(29, 274)(30, 313)(31, 305)(32, 311)(33, 303)(34, 309)(35, 278)(36, 321)(37, 306)(38, 312)(39, 304)(40, 310)(41, 282)(42, 329)(43, 293)(44, 299)(45, 291)(46, 297)(47, 286)(48, 337)(49, 294)(50, 300)(51, 292)(52, 298)(53, 290)(54, 345)(55, 335)(56, 343)(57, 333)(58, 341)(59, 331)(60, 339)(61, 296)(62, 346)(63, 336)(64, 344)(65, 334)(66, 342)(67, 332)(68, 340)(69, 302)(70, 338)(71, 319)(72, 327)(73, 317)(74, 325)(75, 315)(76, 323)(77, 308)(78, 330)(79, 320)(80, 328)(81, 318)(82, 326)(83, 316)(84, 324)(85, 314)(86, 322)(87, 367)(88, 373)(89, 365)(90, 372)(91, 363)(92, 371)(93, 361)(94, 370)(95, 375)(96, 368)(97, 366)(98, 364)(99, 362)(100, 380)(101, 353)(102, 359)(103, 351)(104, 358)(105, 349)(106, 357)(107, 347)(108, 356)(109, 385)(110, 354)(111, 352)(112, 350)(113, 348)(114, 388)(115, 355)(116, 384)(117, 390)(118, 389)(119, 381)(120, 360)(121, 379)(122, 387)(123, 386)(124, 376)(125, 369)(126, 383)(127, 382)(128, 374)(129, 378)(130, 377)(131, 391)(132, 392)(133, 393)(134, 394)(135, 395)(136, 396)(137, 397)(138, 398)(139, 399)(140, 400)(141, 401)(142, 402)(143, 403)(144, 404)(145, 405)(146, 406)(147, 407)(148, 408)(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, 437)(178, 438)(179, 439)(180, 440)(181, 441)(182, 442)(183, 443)(184, 444)(185, 445)(186, 446)(187, 447)(188, 448)(189, 449)(190, 450)(191, 451)(192, 452)(193, 453)(194, 454)(195, 455)(196, 456)(197, 457)(198, 458)(199, 459)(200, 460)(201, 461)(202, 462)(203, 463)(204, 464)(205, 465)(206, 466)(207, 467)(208, 468)(209, 469)(210, 470)(211, 471)(212, 472)(213, 473)(214, 474)(215, 475)(216, 476)(217, 477)(218, 478)(219, 479)(220, 480)(221, 481)(222, 482)(223, 483)(224, 484)(225, 485)(226, 486)(227, 487)(228, 488)(229, 489)(230, 490)(231, 491)(232, 492)(233, 493)(234, 494)(235, 495)(236, 496)(237, 497)(238, 498)(239, 499)(240, 500)(241, 501)(242, 502)(243, 503)(244, 504)(245, 505)(246, 506)(247, 507)(248, 508)(249, 509)(250, 510)(251, 511)(252, 512)(253, 513)(254, 514)(255, 515)(256, 516)(257, 517)(258, 518)(259, 519)(260, 520)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1312
Graph:: bipartite
	v = 67 e = 260 f = 143
	degree seq :: [ 4^65, 130^2 ]

E26.1312 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 65})
Quotient :: dipole
Aut^+ = C5 x D26 (small group id <130, 2>)
Aut   = D10 x D26 (small group id <260, 11>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y1^2 * Y3^-1 * Y1^-2 * Y3, (R * Y2 * Y3^-1)^2, Y1^10, (Y3^-4 * Y1)^2, Y3^-9 * Y1^-1 * Y3^4 * Y1, (Y3 * Y2^-1)^65 ]
Map::
	R = (1, 131, 2, 132, 6, 136, 16, 146, 34, 164, 60, 190, 53, 183, 27, 157, 13, 143, 4, 134)(3, 133, 9, 139, 17, 147, 8, 138, 21, 151, 35, 165, 62, 192, 50, 180, 28, 158, 11, 141)(5, 135, 14, 144, 18, 148, 37, 167, 61, 191, 52, 182, 30, 160, 12, 142, 20, 150, 7, 137)(10, 140, 24, 154, 36, 166, 23, 153, 42, 172, 22, 152, 43, 173, 63, 193, 51, 181, 26, 156)(15, 145, 32, 162, 38, 168, 65, 195, 55, 185, 29, 159, 41, 171, 19, 149, 39, 169, 31, 161)(25, 155, 47, 177, 64, 194, 46, 176, 71, 201, 45, 175, 72, 202, 44, 174, 73, 203, 49, 179)(33, 163, 58, 188, 66, 196, 54, 184, 70, 200, 40, 170, 68, 198, 56, 186, 67, 197, 57, 187)(48, 178, 78, 208, 85, 215, 77, 207, 91, 221, 76, 206, 92, 222, 75, 205, 93, 223, 74, 204)(59, 189, 80, 210, 86, 216, 69, 199, 89, 219, 81, 211, 88, 218, 82, 212, 87, 217, 83, 213)(79, 209, 94, 224, 105, 235, 98, 228, 111, 241, 97, 227, 112, 242, 96, 226, 113, 243, 95, 225)(84, 214, 90, 220, 106, 236, 101, 231, 109, 239, 102, 232, 108, 238, 103, 233, 107, 237, 100, 230)(99, 229, 115, 245, 125, 255, 114, 244, 129, 259, 118, 248, 130, 260, 117, 247, 124, 254, 116, 246)(104, 234, 121, 251, 119, 249, 122, 252, 128, 258, 123, 253, 127, 257, 120, 250, 126, 256, 110, 240)(261, 391)(262, 392)(263, 393)(264, 394)(265, 395)(266, 396)(267, 397)(268, 398)(269, 399)(270, 400)(271, 401)(272, 402)(273, 403)(274, 404)(275, 405)(276, 406)(277, 407)(278, 408)(279, 409)(280, 410)(281, 411)(282, 412)(283, 413)(284, 414)(285, 415)(286, 416)(287, 417)(288, 418)(289, 419)(290, 420)(291, 421)(292, 422)(293, 423)(294, 424)(295, 425)(296, 426)(297, 427)(298, 428)(299, 429)(300, 430)(301, 431)(302, 432)(303, 433)(304, 434)(305, 435)(306, 436)(307, 437)(308, 438)(309, 439)(310, 440)(311, 441)(312, 442)(313, 443)(314, 444)(315, 445)(316, 446)(317, 447)(318, 448)(319, 449)(320, 450)(321, 451)(322, 452)(323, 453)(324, 454)(325, 455)(326, 456)(327, 457)(328, 458)(329, 459)(330, 460)(331, 461)(332, 462)(333, 463)(334, 464)(335, 465)(336, 466)(337, 467)(338, 468)(339, 469)(340, 470)(341, 471)(342, 472)(343, 473)(344, 474)(345, 475)(346, 476)(347, 477)(348, 478)(349, 479)(350, 480)(351, 481)(352, 482)(353, 483)(354, 484)(355, 485)(356, 486)(357, 487)(358, 488)(359, 489)(360, 490)(361, 491)(362, 492)(363, 493)(364, 494)(365, 495)(366, 496)(367, 497)(368, 498)(369, 499)(370, 500)(371, 501)(372, 502)(373, 503)(374, 504)(375, 505)(376, 506)(377, 507)(378, 508)(379, 509)(380, 510)(381, 511)(382, 512)(383, 513)(384, 514)(385, 515)(386, 516)(387, 517)(388, 518)(389, 519)(390, 520)
	L = (1, 263)(2, 267)(3, 270)(4, 272)(5, 261)(6, 277)(7, 279)(8, 262)(9, 264)(10, 285)(11, 287)(12, 289)(13, 288)(14, 291)(15, 265)(16, 274)(17, 296)(18, 266)(19, 300)(20, 273)(21, 302)(22, 268)(23, 269)(24, 271)(25, 308)(26, 310)(27, 312)(28, 311)(29, 314)(30, 313)(31, 316)(32, 317)(33, 275)(34, 281)(35, 276)(36, 324)(37, 292)(38, 278)(39, 280)(40, 329)(41, 290)(42, 331)(43, 332)(44, 282)(45, 283)(46, 284)(47, 286)(48, 339)(49, 323)(50, 320)(51, 333)(52, 325)(53, 322)(54, 340)(55, 321)(56, 341)(57, 342)(58, 343)(59, 293)(60, 297)(61, 294)(62, 303)(63, 295)(64, 345)(65, 318)(66, 298)(67, 299)(68, 301)(69, 350)(70, 315)(71, 351)(72, 352)(73, 353)(74, 304)(75, 305)(76, 306)(77, 307)(78, 309)(79, 359)(80, 360)(81, 361)(82, 362)(83, 363)(84, 319)(85, 365)(86, 326)(87, 327)(88, 328)(89, 330)(90, 370)(91, 371)(92, 372)(93, 373)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 379)(100, 380)(101, 381)(102, 382)(103, 383)(104, 344)(105, 385)(106, 346)(107, 347)(108, 348)(109, 349)(110, 378)(111, 389)(112, 390)(113, 384)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 366)(120, 374)(121, 377)(122, 376)(123, 375)(124, 364)(125, 388)(126, 367)(127, 368)(128, 369)(129, 387)(130, 386)(131, 391)(132, 392)(133, 393)(134, 394)(135, 395)(136, 396)(137, 397)(138, 398)(139, 399)(140, 400)(141, 401)(142, 402)(143, 403)(144, 404)(145, 405)(146, 406)(147, 407)(148, 408)(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, 437)(178, 438)(179, 439)(180, 440)(181, 441)(182, 442)(183, 443)(184, 444)(185, 445)(186, 446)(187, 447)(188, 448)(189, 449)(190, 450)(191, 451)(192, 452)(193, 453)(194, 454)(195, 455)(196, 456)(197, 457)(198, 458)(199, 459)(200, 460)(201, 461)(202, 462)(203, 463)(204, 464)(205, 465)(206, 466)(207, 467)(208, 468)(209, 469)(210, 470)(211, 471)(212, 472)(213, 473)(214, 474)(215, 475)(216, 476)(217, 477)(218, 478)(219, 479)(220, 480)(221, 481)(222, 482)(223, 483)(224, 484)(225, 485)(226, 486)(227, 487)(228, 488)(229, 489)(230, 490)(231, 491)(232, 492)(233, 493)(234, 494)(235, 495)(236, 496)(237, 497)(238, 498)(239, 499)(240, 500)(241, 501)(242, 502)(243, 503)(244, 504)(245, 505)(246, 506)(247, 507)(248, 508)(249, 509)(250, 510)(251, 511)(252, 512)(253, 513)(254, 514)(255, 515)(256, 516)(257, 517)(258, 518)(259, 519)(260, 520)
	local type(s) :: { ( 4, 130 ), ( 4, 130, 4, 130, 4, 130, 4, 130, 4, 130, 4, 130, 4, 130, 4, 130, 4, 130, 4, 130 ) }
Outer automorphisms :: reflexible
Dual of E26.1311
Graph:: simple bipartite
	v = 143 e = 260 f = 67
	degree seq :: [ 2^130, 20^13 ]

E26.1313 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 36})
Quotient :: regular
Aut^+ = (C9 x Q8) : C2 (small group id <144, 18>)
Aut   = $<288, 124>$ (small group id <288, 124>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-1)^2, (T1 * T2)^8, T1^-2 * T2 * T1^5 * T2 * T1^-1 * T2 * T1 * T2 * T1^-9, T2 * T1^-1 * T2 * T1^-1 * T2 * T1^17 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 65, 86, 105, 121, 137, 132, 116, 100, 80, 95, 78, 93, 79, 94, 81, 96, 112, 128, 144, 136, 120, 104, 85, 64, 46, 31, 19, 10, 4)(3, 7, 15, 25, 39, 55, 75, 97, 113, 129, 143, 126, 111, 91, 74, 54, 72, 52, 71, 53, 73, 63, 84, 103, 119, 135, 138, 123, 106, 88, 66, 49, 33, 22, 12, 8)(6, 13, 9, 18, 29, 44, 61, 82, 101, 117, 133, 142, 127, 110, 92, 70, 60, 43, 58, 41, 57, 42, 59, 77, 99, 115, 131, 139, 122, 107, 87, 67, 48, 34, 21, 14)(16, 26, 17, 28, 35, 51, 68, 90, 108, 125, 140, 134, 118, 102, 83, 62, 45, 30, 37, 23, 36, 24, 38, 50, 69, 89, 109, 124, 141, 130, 114, 98, 76, 56, 40, 27)
	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, 102)(83, 103)(84, 100)(85, 101)(86, 106)(88, 108)(90, 110)(92, 112)(97, 114)(98, 115)(99, 116)(104, 113)(105, 122)(107, 124)(109, 126)(111, 128)(117, 134)(118, 135)(119, 132)(120, 133)(121, 138)(123, 140)(125, 142)(127, 144)(129, 141)(130, 139)(131, 137)(136, 143)
	local type(s) :: { ( 8^36 ) }
Outer automorphisms :: reflexible
Dual of E26.1314
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 72 f = 18
	degree seq :: [ 36^4 ]

E26.1314 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 36})
Quotient :: regular
Aut^+ = (C9 x Q8) : C2 (small group id <144, 18>)
Aut   = $<288, 124>$ (small group id <288, 124>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-2)^2, T1^8, T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^3, 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 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 19, 10, 4)(3, 7, 15, 25, 31, 22, 12, 8)(6, 13, 9, 18, 29, 32, 21, 14)(16, 26, 17, 28, 33, 43, 37, 27)(23, 34, 24, 36, 42, 41, 30, 35)(38, 47, 39, 49, 52, 50, 40, 48)(44, 53, 45, 55, 51, 56, 46, 54)(57, 65, 58, 67, 60, 68, 59, 66)(61, 69, 62, 71, 64, 72, 63, 70)(73, 81, 74, 83, 76, 84, 75, 82)(77, 85, 78, 87, 80, 88, 79, 86)(89, 97, 90, 99, 92, 100, 91, 98)(93, 101, 94, 103, 96, 104, 95, 102)(105, 113, 106, 115, 108, 116, 107, 114)(109, 117, 110, 119, 112, 120, 111, 118)(121, 129, 122, 131, 124, 132, 123, 130)(125, 133, 126, 135, 128, 136, 127, 134)(137, 143, 138, 141, 140, 142, 139, 144)
	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, 31)(22, 33)(25, 37)(26, 38)(27, 39)(28, 40)(32, 42)(34, 44)(35, 45)(36, 46)(41, 51)(43, 52)(47, 57)(48, 58)(49, 59)(50, 60)(53, 61)(54, 62)(55, 63)(56, 64)(65, 73)(66, 74)(67, 75)(68, 76)(69, 77)(70, 78)(71, 79)(72, 80)(81, 89)(82, 90)(83, 91)(84, 92)(85, 93)(86, 94)(87, 95)(88, 96)(97, 105)(98, 106)(99, 107)(100, 108)(101, 109)(102, 110)(103, 111)(104, 112)(113, 121)(114, 122)(115, 123)(116, 124)(117, 125)(118, 126)(119, 127)(120, 128)(129, 137)(130, 138)(131, 139)(132, 140)(133, 141)(134, 142)(135, 143)(136, 144)
	local type(s) :: { ( 36^8 ) }
Outer automorphisms :: reflexible
Dual of E26.1313
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 18 e = 72 f = 4
	degree seq :: [ 8^18 ]

E26.1315 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 36})
Quotient :: edge
Aut^+ = (C9 x Q8) : C2 (small group id <144, 18>)
Aut   = $<288, 124>$ (small group id <288, 124>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T1 * T2^-2)^2, T2^8, 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 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 ]
Map::
	R = (1, 3, 8, 17, 28, 19, 10, 4)(2, 5, 12, 22, 34, 24, 14, 6)(7, 15, 9, 18, 30, 40, 27, 16)(11, 20, 13, 23, 36, 45, 33, 21)(25, 37, 26, 39, 50, 41, 29, 38)(31, 42, 32, 44, 55, 46, 35, 43)(47, 57, 48, 59, 51, 60, 49, 58)(52, 61, 53, 63, 56, 64, 54, 62)(65, 73, 66, 75, 68, 76, 67, 74)(69, 77, 70, 79, 72, 80, 71, 78)(81, 89, 82, 91, 84, 92, 83, 90)(85, 93, 86, 95, 88, 96, 87, 94)(97, 105, 98, 107, 100, 108, 99, 106)(101, 109, 102, 111, 104, 112, 103, 110)(113, 121, 114, 123, 116, 124, 115, 122)(117, 125, 118, 127, 120, 128, 119, 126)(129, 137, 130, 139, 132, 140, 131, 138)(133, 141, 134, 143, 136, 144, 135, 142)(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, 175)(165, 176)(166, 177)(167, 179)(168, 180)(172, 178)(181, 191)(182, 192)(183, 193)(184, 194)(185, 195)(186, 196)(187, 197)(188, 198)(189, 199)(190, 200)(201, 209)(202, 210)(203, 211)(204, 212)(205, 213)(206, 214)(207, 215)(208, 216)(217, 225)(218, 226)(219, 227)(220, 228)(221, 229)(222, 230)(223, 231)(224, 232)(233, 241)(234, 242)(235, 243)(236, 244)(237, 245)(238, 246)(239, 247)(240, 248)(249, 257)(250, 258)(251, 259)(252, 260)(253, 261)(254, 262)(255, 263)(256, 264)(265, 273)(266, 274)(267, 275)(268, 276)(269, 277)(270, 278)(271, 279)(272, 280)(281, 287)(282, 288)(283, 285)(284, 286)
	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) :: { ( 72, 72 ), ( 72^8 ) }
Outer automorphisms :: reflexible
Dual of E26.1319
Transitivity :: ET+
Graph:: simple bipartite
	v = 90 e = 144 f = 4
	degree seq :: [ 2^72, 8^18 ]

E26.1316 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 36})
Quotient :: edge
Aut^+ = (C9 x Q8) : C2 (small group id <144, 18>)
Aut   = $<288, 124>$ (small group id <288, 124>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1)^2, (T2 * T1^-1)^2, T1^8, T1^-1 * T2^-1 * T1 * T2^17 * T1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 21, 36, 52, 68, 84, 100, 116, 132, 138, 122, 106, 90, 74, 58, 42, 26, 41, 57, 73, 89, 105, 121, 137, 136, 120, 104, 88, 72, 56, 40, 25, 13, 5)(2, 7, 17, 31, 47, 63, 79, 95, 111, 127, 143, 129, 113, 97, 81, 65, 49, 33, 24, 37, 53, 69, 85, 101, 117, 133, 144, 128, 112, 96, 80, 64, 48, 32, 18, 8)(4, 11, 23, 39, 55, 71, 87, 103, 119, 135, 140, 124, 108, 92, 76, 60, 44, 28, 14, 27, 43, 59, 75, 91, 107, 123, 139, 131, 115, 99, 83, 67, 51, 35, 20, 9)(6, 15, 29, 45, 61, 77, 93, 109, 125, 141, 134, 118, 102, 86, 70, 54, 38, 22, 12, 19, 34, 50, 66, 82, 98, 114, 130, 142, 126, 110, 94, 78, 62, 46, 30, 16)(145, 146, 150, 158, 170, 168, 156, 148)(147, 153, 163, 177, 185, 172, 159, 152)(149, 155, 166, 181, 186, 171, 160, 151)(154, 162, 173, 188, 201, 193, 178, 164)(157, 161, 174, 187, 202, 197, 182, 167)(165, 179, 194, 209, 217, 204, 189, 176)(169, 183, 198, 213, 218, 203, 190, 175)(180, 192, 205, 220, 233, 225, 210, 195)(184, 191, 206, 219, 234, 229, 214, 199)(196, 211, 226, 241, 249, 236, 221, 208)(200, 215, 230, 245, 250, 235, 222, 207)(212, 224, 237, 252, 265, 257, 242, 227)(216, 223, 238, 251, 266, 261, 246, 231)(228, 243, 258, 273, 281, 268, 253, 240)(232, 247, 262, 277, 282, 267, 254, 239)(244, 256, 269, 284, 280, 287, 274, 259)(248, 255, 270, 283, 276, 288, 278, 263)(260, 275, 286, 271, 264, 279, 285, 272)
	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) :: { ( 4^8 ), ( 4^36 ) }
Outer automorphisms :: reflexible
Dual of E26.1320
Transitivity :: ET+
Graph:: bipartite
	v = 22 e = 144 f = 72
	degree seq :: [ 8^18, 36^4 ]

E26.1317 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 36})
Quotient :: edge
Aut^+ = (C9 x Q8) : C2 (small group id <144, 18>)
Aut   = $<288, 124>$ (small group id <288, 124>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-1)^2, (T2 * T1)^8, T1^-2 * T2 * T1^5 * T2 * T1^-1 * T2 * T1 * T2 * T1^-9, T2 * T1^-1 * T2 * T1^-1 * T2 * T1^17 * T2 * T1^-1 ]
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, 102)(83, 103)(84, 100)(85, 101)(86, 106)(88, 108)(90, 110)(92, 112)(97, 114)(98, 115)(99, 116)(104, 113)(105, 122)(107, 124)(109, 126)(111, 128)(117, 134)(118, 135)(119, 132)(120, 133)(121, 138)(123, 140)(125, 142)(127, 144)(129, 141)(130, 139)(131, 137)(136, 143)(145, 146, 149, 155, 164, 176, 191, 209, 230, 249, 265, 281, 276, 260, 244, 224, 239, 222, 237, 223, 238, 225, 240, 256, 272, 288, 280, 264, 248, 229, 208, 190, 175, 163, 154, 148)(147, 151, 159, 169, 183, 199, 219, 241, 257, 273, 287, 270, 255, 235, 218, 198, 216, 196, 215, 197, 217, 207, 228, 247, 263, 279, 282, 267, 250, 232, 210, 193, 177, 166, 156, 152)(150, 157, 153, 162, 173, 188, 205, 226, 245, 261, 277, 286, 271, 254, 236, 214, 204, 187, 202, 185, 201, 186, 203, 221, 243, 259, 275, 283, 266, 251, 231, 211, 192, 178, 165, 158)(160, 170, 161, 172, 179, 195, 212, 234, 252, 269, 284, 278, 262, 246, 227, 206, 189, 174, 181, 167, 180, 168, 182, 194, 213, 233, 253, 268, 285, 274, 258, 242, 220, 200, 184, 171)
	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, 16 ), ( 16^36 ) }
Outer automorphisms :: reflexible
Dual of E26.1318
Transitivity :: ET+
Graph:: simple bipartite
	v = 76 e = 144 f = 18
	degree seq :: [ 2^72, 36^4 ]

E26.1318 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 36})
Quotient :: loop
Aut^+ = (C9 x Q8) : C2 (small group id <144, 18>)
Aut   = $<288, 124>$ (small group id <288, 124>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T1 * T2^-2)^2, T2^8, 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 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 ]
Map::
	R = (1, 145, 3, 147, 8, 152, 17, 161, 28, 172, 19, 163, 10, 154, 4, 148)(2, 146, 5, 149, 12, 156, 22, 166, 34, 178, 24, 168, 14, 158, 6, 150)(7, 151, 15, 159, 9, 153, 18, 162, 30, 174, 40, 184, 27, 171, 16, 160)(11, 155, 20, 164, 13, 157, 23, 167, 36, 180, 45, 189, 33, 177, 21, 165)(25, 169, 37, 181, 26, 170, 39, 183, 50, 194, 41, 185, 29, 173, 38, 182)(31, 175, 42, 186, 32, 176, 44, 188, 55, 199, 46, 190, 35, 179, 43, 187)(47, 191, 57, 201, 48, 192, 59, 203, 51, 195, 60, 204, 49, 193, 58, 202)(52, 196, 61, 205, 53, 197, 63, 207, 56, 200, 64, 208, 54, 198, 62, 206)(65, 209, 73, 217, 66, 210, 75, 219, 68, 212, 76, 220, 67, 211, 74, 218)(69, 213, 77, 221, 70, 214, 79, 223, 72, 216, 80, 224, 71, 215, 78, 222)(81, 225, 89, 233, 82, 226, 91, 235, 84, 228, 92, 236, 83, 227, 90, 234)(85, 229, 93, 237, 86, 230, 95, 239, 88, 232, 96, 240, 87, 231, 94, 238)(97, 241, 105, 249, 98, 242, 107, 251, 100, 244, 108, 252, 99, 243, 106, 250)(101, 245, 109, 253, 102, 246, 111, 255, 104, 248, 112, 256, 103, 247, 110, 254)(113, 257, 121, 265, 114, 258, 123, 267, 116, 260, 124, 268, 115, 259, 122, 266)(117, 261, 125, 269, 118, 262, 127, 271, 120, 264, 128, 272, 119, 263, 126, 270)(129, 273, 137, 281, 130, 274, 139, 283, 132, 276, 140, 284, 131, 275, 138, 282)(133, 277, 141, 285, 134, 278, 143, 287, 136, 280, 144, 288, 135, 279, 142, 286)
	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, 175)(21, 176)(22, 177)(23, 179)(24, 180)(25, 159)(26, 160)(27, 161)(28, 178)(29, 162)(30, 163)(31, 164)(32, 165)(33, 166)(34, 172)(35, 167)(36, 168)(37, 191)(38, 192)(39, 193)(40, 194)(41, 195)(42, 196)(43, 197)(44, 198)(45, 199)(46, 200)(47, 181)(48, 182)(49, 183)(50, 184)(51, 185)(52, 186)(53, 187)(54, 188)(55, 189)(56, 190)(57, 209)(58, 210)(59, 211)(60, 212)(61, 213)(62, 214)(63, 215)(64, 216)(65, 201)(66, 202)(67, 203)(68, 204)(69, 205)(70, 206)(71, 207)(72, 208)(73, 225)(74, 226)(75, 227)(76, 228)(77, 229)(78, 230)(79, 231)(80, 232)(81, 217)(82, 218)(83, 219)(84, 220)(85, 221)(86, 222)(87, 223)(88, 224)(89, 241)(90, 242)(91, 243)(92, 244)(93, 245)(94, 246)(95, 247)(96, 248)(97, 233)(98, 234)(99, 235)(100, 236)(101, 237)(102, 238)(103, 239)(104, 240)(105, 257)(106, 258)(107, 259)(108, 260)(109, 261)(110, 262)(111, 263)(112, 264)(113, 249)(114, 250)(115, 251)(116, 252)(117, 253)(118, 254)(119, 255)(120, 256)(121, 273)(122, 274)(123, 275)(124, 276)(125, 277)(126, 278)(127, 279)(128, 280)(129, 265)(130, 266)(131, 267)(132, 268)(133, 269)(134, 270)(135, 271)(136, 272)(137, 287)(138, 288)(139, 285)(140, 286)(141, 283)(142, 284)(143, 281)(144, 282)
	local type(s) :: { ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E26.1317
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 144 f = 76
	degree seq :: [ 16^18 ]

E26.1319 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 36})
Quotient :: loop
Aut^+ = (C9 x Q8) : C2 (small group id <144, 18>)
Aut   = $<288, 124>$ (small group id <288, 124>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1)^2, (T2 * T1^-1)^2, T1^8, T1^-1 * T2^-1 * T1 * T2^17 * T1^-2 ]
Map::
	R = (1, 145, 3, 147, 10, 154, 21, 165, 36, 180, 52, 196, 68, 212, 84, 228, 100, 244, 116, 260, 132, 276, 138, 282, 122, 266, 106, 250, 90, 234, 74, 218, 58, 202, 42, 186, 26, 170, 41, 185, 57, 201, 73, 217, 89, 233, 105, 249, 121, 265, 137, 281, 136, 280, 120, 264, 104, 248, 88, 232, 72, 216, 56, 200, 40, 184, 25, 169, 13, 157, 5, 149)(2, 146, 7, 151, 17, 161, 31, 175, 47, 191, 63, 207, 79, 223, 95, 239, 111, 255, 127, 271, 143, 287, 129, 273, 113, 257, 97, 241, 81, 225, 65, 209, 49, 193, 33, 177, 24, 168, 37, 181, 53, 197, 69, 213, 85, 229, 101, 245, 117, 261, 133, 277, 144, 288, 128, 272, 112, 256, 96, 240, 80, 224, 64, 208, 48, 192, 32, 176, 18, 162, 8, 152)(4, 148, 11, 155, 23, 167, 39, 183, 55, 199, 71, 215, 87, 231, 103, 247, 119, 263, 135, 279, 140, 284, 124, 268, 108, 252, 92, 236, 76, 220, 60, 204, 44, 188, 28, 172, 14, 158, 27, 171, 43, 187, 59, 203, 75, 219, 91, 235, 107, 251, 123, 267, 139, 283, 131, 275, 115, 259, 99, 243, 83, 227, 67, 211, 51, 195, 35, 179, 20, 164, 9, 153)(6, 150, 15, 159, 29, 173, 45, 189, 61, 205, 77, 221, 93, 237, 109, 253, 125, 269, 141, 285, 134, 278, 118, 262, 102, 246, 86, 230, 70, 214, 54, 198, 38, 182, 22, 166, 12, 156, 19, 163, 34, 178, 50, 194, 66, 210, 82, 226, 98, 242, 114, 258, 130, 274, 142, 286, 126, 270, 110, 254, 94, 238, 78, 222, 62, 206, 46, 190, 30, 174, 16, 160)
	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, 168)(27, 160)(28, 159)(29, 188)(30, 187)(31, 169)(32, 165)(33, 185)(34, 164)(35, 194)(36, 192)(37, 186)(38, 167)(39, 198)(40, 191)(41, 172)(42, 171)(43, 202)(44, 201)(45, 176)(46, 175)(47, 206)(48, 205)(49, 178)(50, 209)(51, 180)(52, 211)(53, 182)(54, 213)(55, 184)(56, 215)(57, 193)(58, 197)(59, 190)(60, 189)(61, 220)(62, 219)(63, 200)(64, 196)(65, 217)(66, 195)(67, 226)(68, 224)(69, 218)(70, 199)(71, 230)(72, 223)(73, 204)(74, 203)(75, 234)(76, 233)(77, 208)(78, 207)(79, 238)(80, 237)(81, 210)(82, 241)(83, 212)(84, 243)(85, 214)(86, 245)(87, 216)(88, 247)(89, 225)(90, 229)(91, 222)(92, 221)(93, 252)(94, 251)(95, 232)(96, 228)(97, 249)(98, 227)(99, 258)(100, 256)(101, 250)(102, 231)(103, 262)(104, 255)(105, 236)(106, 235)(107, 266)(108, 265)(109, 240)(110, 239)(111, 270)(112, 269)(113, 242)(114, 273)(115, 244)(116, 275)(117, 246)(118, 277)(119, 248)(120, 279)(121, 257)(122, 261)(123, 254)(124, 253)(125, 284)(126, 283)(127, 264)(128, 260)(129, 281)(130, 259)(131, 286)(132, 288)(133, 282)(134, 263)(135, 285)(136, 287)(137, 268)(138, 267)(139, 276)(140, 280)(141, 272)(142, 271)(143, 274)(144, 278)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1315
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 144 f = 90
	degree seq :: [ 72^4 ]

E26.1320 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 36})
Quotient :: loop
Aut^+ = (C9 x Q8) : C2 (small group id <144, 18>)
Aut   = $<288, 124>$ (small group id <288, 124>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-1)^2, (T2 * T1)^8, T1^-2 * T2 * T1^5 * T2 * T1^-1 * T2 * T1 * T2 * T1^-9, T2 * T1^-1 * T2 * T1^-1 * T2 * T1^17 * 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, 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, 102, 246)(83, 227, 103, 247)(84, 228, 100, 244)(85, 229, 101, 245)(86, 230, 106, 250)(88, 232, 108, 252)(90, 234, 110, 254)(92, 236, 112, 256)(97, 241, 114, 258)(98, 242, 115, 259)(99, 243, 116, 260)(104, 248, 113, 257)(105, 249, 122, 266)(107, 251, 124, 268)(109, 253, 126, 270)(111, 255, 128, 272)(117, 261, 134, 278)(118, 262, 135, 279)(119, 263, 132, 276)(120, 264, 133, 277)(121, 265, 138, 282)(123, 267, 140, 284)(125, 269, 142, 286)(127, 271, 144, 288)(129, 273, 141, 285)(130, 274, 139, 283)(131, 275, 137, 281)(136, 280, 143, 287)
	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, 237)(79, 238)(80, 239)(81, 240)(82, 245)(83, 206)(84, 247)(85, 208)(86, 249)(87, 211)(88, 210)(89, 253)(90, 252)(91, 218)(92, 214)(93, 223)(94, 225)(95, 222)(96, 256)(97, 257)(98, 220)(99, 259)(100, 224)(101, 261)(102, 227)(103, 263)(104, 229)(105, 265)(106, 232)(107, 231)(108, 269)(109, 268)(110, 236)(111, 235)(112, 272)(113, 273)(114, 242)(115, 275)(116, 244)(117, 277)(118, 246)(119, 279)(120, 248)(121, 281)(122, 251)(123, 250)(124, 285)(125, 284)(126, 255)(127, 254)(128, 288)(129, 287)(130, 258)(131, 283)(132, 260)(133, 286)(134, 262)(135, 282)(136, 264)(137, 276)(138, 267)(139, 266)(140, 278)(141, 274)(142, 271)(143, 270)(144, 280)
	local type(s) :: { ( 8, 36, 8, 36 ) }
Outer automorphisms :: reflexible
Dual of E26.1316
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 72 e = 144 f = 22
	degree seq :: [ 4^72 ]

E26.1321 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 36})
Quotient :: dipole
Aut^+ = (C9 x Q8) : C2 (small group id <144, 18>)
Aut   = $<288, 124>$ (small group id <288, 124>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2^-2)^2, Y2^-1 * R * Y2^2 * R * Y2^-1, Y2^8, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^36 ]
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, 31, 175)(21, 165, 32, 176)(22, 166, 33, 177)(23, 167, 35, 179)(24, 168, 36, 180)(28, 172, 34, 178)(37, 181, 47, 191)(38, 182, 48, 192)(39, 183, 49, 193)(40, 184, 50, 194)(41, 185, 51, 195)(42, 186, 52, 196)(43, 187, 53, 197)(44, 188, 54, 198)(45, 189, 55, 199)(46, 190, 56, 200)(57, 201, 65, 209)(58, 202, 66, 210)(59, 203, 67, 211)(60, 204, 68, 212)(61, 205, 69, 213)(62, 206, 70, 214)(63, 207, 71, 215)(64, 208, 72, 216)(73, 217, 81, 225)(74, 218, 82, 226)(75, 219, 83, 227)(76, 220, 84, 228)(77, 221, 85, 229)(78, 222, 86, 230)(79, 223, 87, 231)(80, 224, 88, 232)(89, 233, 97, 241)(90, 234, 98, 242)(91, 235, 99, 243)(92, 236, 100, 244)(93, 237, 101, 245)(94, 238, 102, 246)(95, 239, 103, 247)(96, 240, 104, 248)(105, 249, 113, 257)(106, 250, 114, 258)(107, 251, 115, 259)(108, 252, 116, 260)(109, 253, 117, 261)(110, 254, 118, 262)(111, 255, 119, 263)(112, 256, 120, 264)(121, 265, 129, 273)(122, 266, 130, 274)(123, 267, 131, 275)(124, 268, 132, 276)(125, 269, 133, 277)(126, 270, 134, 278)(127, 271, 135, 279)(128, 272, 136, 280)(137, 281, 143, 287)(138, 282, 144, 288)(139, 283, 141, 285)(140, 284, 142, 286)(289, 433, 291, 435, 296, 440, 305, 449, 316, 460, 307, 451, 298, 442, 292, 436)(290, 434, 293, 437, 300, 444, 310, 454, 322, 466, 312, 456, 302, 446, 294, 438)(295, 439, 303, 447, 297, 441, 306, 450, 318, 462, 328, 472, 315, 459, 304, 448)(299, 443, 308, 452, 301, 445, 311, 455, 324, 468, 333, 477, 321, 465, 309, 453)(313, 457, 325, 469, 314, 458, 327, 471, 338, 482, 329, 473, 317, 461, 326, 470)(319, 463, 330, 474, 320, 464, 332, 476, 343, 487, 334, 478, 323, 467, 331, 475)(335, 479, 345, 489, 336, 480, 347, 491, 339, 483, 348, 492, 337, 481, 346, 490)(340, 484, 349, 493, 341, 485, 351, 495, 344, 488, 352, 496, 342, 486, 350, 494)(353, 497, 361, 505, 354, 498, 363, 507, 356, 500, 364, 508, 355, 499, 362, 506)(357, 501, 365, 509, 358, 502, 367, 511, 360, 504, 368, 512, 359, 503, 366, 510)(369, 513, 377, 521, 370, 514, 379, 523, 372, 516, 380, 524, 371, 515, 378, 522)(373, 517, 381, 525, 374, 518, 383, 527, 376, 520, 384, 528, 375, 519, 382, 526)(385, 529, 393, 537, 386, 530, 395, 539, 388, 532, 396, 540, 387, 531, 394, 538)(389, 533, 397, 541, 390, 534, 399, 543, 392, 536, 400, 544, 391, 535, 398, 542)(401, 545, 409, 553, 402, 546, 411, 555, 404, 548, 412, 556, 403, 547, 410, 554)(405, 549, 413, 557, 406, 550, 415, 559, 408, 552, 416, 560, 407, 551, 414, 558)(417, 561, 425, 569, 418, 562, 427, 571, 420, 564, 428, 572, 419, 563, 426, 570)(421, 565, 429, 573, 422, 566, 431, 575, 424, 568, 432, 576, 423, 567, 430, 574)
	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, 319)(21, 320)(22, 321)(23, 323)(24, 324)(25, 303)(26, 304)(27, 305)(28, 322)(29, 306)(30, 307)(31, 308)(32, 309)(33, 310)(34, 316)(35, 311)(36, 312)(37, 335)(38, 336)(39, 337)(40, 338)(41, 339)(42, 340)(43, 341)(44, 342)(45, 343)(46, 344)(47, 325)(48, 326)(49, 327)(50, 328)(51, 329)(52, 330)(53, 331)(54, 332)(55, 333)(56, 334)(57, 353)(58, 354)(59, 355)(60, 356)(61, 357)(62, 358)(63, 359)(64, 360)(65, 345)(66, 346)(67, 347)(68, 348)(69, 349)(70, 350)(71, 351)(72, 352)(73, 369)(74, 370)(75, 371)(76, 372)(77, 373)(78, 374)(79, 375)(80, 376)(81, 361)(82, 362)(83, 363)(84, 364)(85, 365)(86, 366)(87, 367)(88, 368)(89, 385)(90, 386)(91, 387)(92, 388)(93, 389)(94, 390)(95, 391)(96, 392)(97, 377)(98, 378)(99, 379)(100, 380)(101, 381)(102, 382)(103, 383)(104, 384)(105, 401)(106, 402)(107, 403)(108, 404)(109, 405)(110, 406)(111, 407)(112, 408)(113, 393)(114, 394)(115, 395)(116, 396)(117, 397)(118, 398)(119, 399)(120, 400)(121, 417)(122, 418)(123, 419)(124, 420)(125, 421)(126, 422)(127, 423)(128, 424)(129, 409)(130, 410)(131, 411)(132, 412)(133, 413)(134, 414)(135, 415)(136, 416)(137, 431)(138, 432)(139, 429)(140, 430)(141, 427)(142, 428)(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, 72, 2, 72 ), ( 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72 ) }
Outer automorphisms :: reflexible
Dual of E26.1324
Graph:: bipartite
	v = 90 e = 288 f = 148
	degree seq :: [ 4^72, 16^18 ]

E26.1322 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 36})
Quotient :: dipole
Aut^+ = (C9 x Q8) : C2 (small group id <144, 18>)
Aut   = $<288, 124>$ (small group id <288, 124>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, Y1^8, Y1^-1 * Y2^-1 * Y1^2 * Y2^-17 * Y1^-1 ]
Map::
	R = (1, 145, 2, 146, 6, 150, 14, 158, 26, 170, 24, 168, 12, 156, 4, 148)(3, 147, 9, 153, 19, 163, 33, 177, 41, 185, 28, 172, 15, 159, 8, 152)(5, 149, 11, 155, 22, 166, 37, 181, 42, 186, 27, 171, 16, 160, 7, 151)(10, 154, 18, 162, 29, 173, 44, 188, 57, 201, 49, 193, 34, 178, 20, 164)(13, 157, 17, 161, 30, 174, 43, 187, 58, 202, 53, 197, 38, 182, 23, 167)(21, 165, 35, 179, 50, 194, 65, 209, 73, 217, 60, 204, 45, 189, 32, 176)(25, 169, 39, 183, 54, 198, 69, 213, 74, 218, 59, 203, 46, 190, 31, 175)(36, 180, 48, 192, 61, 205, 76, 220, 89, 233, 81, 225, 66, 210, 51, 195)(40, 184, 47, 191, 62, 206, 75, 219, 90, 234, 85, 229, 70, 214, 55, 199)(52, 196, 67, 211, 82, 226, 97, 241, 105, 249, 92, 236, 77, 221, 64, 208)(56, 200, 71, 215, 86, 230, 101, 245, 106, 250, 91, 235, 78, 222, 63, 207)(68, 212, 80, 224, 93, 237, 108, 252, 121, 265, 113, 257, 98, 242, 83, 227)(72, 216, 79, 223, 94, 238, 107, 251, 122, 266, 117, 261, 102, 246, 87, 231)(84, 228, 99, 243, 114, 258, 129, 273, 137, 281, 124, 268, 109, 253, 96, 240)(88, 232, 103, 247, 118, 262, 133, 277, 138, 282, 123, 267, 110, 254, 95, 239)(100, 244, 112, 256, 125, 269, 140, 284, 136, 280, 143, 287, 130, 274, 115, 259)(104, 248, 111, 255, 126, 270, 139, 283, 132, 276, 144, 288, 134, 278, 119, 263)(116, 260, 131, 275, 142, 286, 127, 271, 120, 264, 135, 279, 141, 285, 128, 272)(289, 433, 291, 435, 298, 442, 309, 453, 324, 468, 340, 484, 356, 500, 372, 516, 388, 532, 404, 548, 420, 564, 426, 570, 410, 554, 394, 538, 378, 522, 362, 506, 346, 490, 330, 474, 314, 458, 329, 473, 345, 489, 361, 505, 377, 521, 393, 537, 409, 553, 425, 569, 424, 568, 408, 552, 392, 536, 376, 520, 360, 504, 344, 488, 328, 472, 313, 457, 301, 445, 293, 437)(290, 434, 295, 439, 305, 449, 319, 463, 335, 479, 351, 495, 367, 511, 383, 527, 399, 543, 415, 559, 431, 575, 417, 561, 401, 545, 385, 529, 369, 513, 353, 497, 337, 481, 321, 465, 312, 456, 325, 469, 341, 485, 357, 501, 373, 517, 389, 533, 405, 549, 421, 565, 432, 576, 416, 560, 400, 544, 384, 528, 368, 512, 352, 496, 336, 480, 320, 464, 306, 450, 296, 440)(292, 436, 299, 443, 311, 455, 327, 471, 343, 487, 359, 503, 375, 519, 391, 535, 407, 551, 423, 567, 428, 572, 412, 556, 396, 540, 380, 524, 364, 508, 348, 492, 332, 476, 316, 460, 302, 446, 315, 459, 331, 475, 347, 491, 363, 507, 379, 523, 395, 539, 411, 555, 427, 571, 419, 563, 403, 547, 387, 531, 371, 515, 355, 499, 339, 483, 323, 467, 308, 452, 297, 441)(294, 438, 303, 447, 317, 461, 333, 477, 349, 493, 365, 509, 381, 525, 397, 541, 413, 557, 429, 573, 422, 566, 406, 550, 390, 534, 374, 518, 358, 502, 342, 486, 326, 470, 310, 454, 300, 444, 307, 451, 322, 466, 338, 482, 354, 498, 370, 514, 386, 530, 402, 546, 418, 562, 430, 574, 414, 558, 398, 542, 382, 526, 366, 510, 350, 494, 334, 478, 318, 462, 304, 448)
	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, 329)(27, 331)(28, 302)(29, 333)(30, 304)(31, 335)(32, 306)(33, 312)(34, 338)(35, 308)(36, 340)(37, 341)(38, 310)(39, 343)(40, 313)(41, 345)(42, 314)(43, 347)(44, 316)(45, 349)(46, 318)(47, 351)(48, 320)(49, 321)(50, 354)(51, 323)(52, 356)(53, 357)(54, 326)(55, 359)(56, 328)(57, 361)(58, 330)(59, 363)(60, 332)(61, 365)(62, 334)(63, 367)(64, 336)(65, 337)(66, 370)(67, 339)(68, 372)(69, 373)(70, 342)(71, 375)(72, 344)(73, 377)(74, 346)(75, 379)(76, 348)(77, 381)(78, 350)(79, 383)(80, 352)(81, 353)(82, 386)(83, 355)(84, 388)(85, 389)(86, 358)(87, 391)(88, 360)(89, 393)(90, 362)(91, 395)(92, 364)(93, 397)(94, 366)(95, 399)(96, 368)(97, 369)(98, 402)(99, 371)(100, 404)(101, 405)(102, 374)(103, 407)(104, 376)(105, 409)(106, 378)(107, 411)(108, 380)(109, 413)(110, 382)(111, 415)(112, 384)(113, 385)(114, 418)(115, 387)(116, 420)(117, 421)(118, 390)(119, 423)(120, 392)(121, 425)(122, 394)(123, 427)(124, 396)(125, 429)(126, 398)(127, 431)(128, 400)(129, 401)(130, 430)(131, 403)(132, 426)(133, 432)(134, 406)(135, 428)(136, 408)(137, 424)(138, 410)(139, 419)(140, 412)(141, 422)(142, 414)(143, 417)(144, 416)(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, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E26.1323
Graph:: bipartite
	v = 22 e = 288 f = 216
	degree seq :: [ 16^18, 72^4 ]

E26.1323 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 36})
Quotient :: dipole
Aut^+ = (C9 x Q8) : C2 (small group id <144, 18>)
Aut   = $<288, 124>$ (small group id <288, 124>)
|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)^8, Y3^3 * Y2 * Y3^-13 * Y2 * Y3 * Y2 * Y3^-1 * Y2, (Y3^-1 * Y1^-1)^36 ]
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, 374, 518)(364, 508, 376, 520)(365, 509, 375, 519)(366, 510, 381, 525)(367, 511, 385, 529)(368, 512, 386, 530)(369, 513, 387, 531)(370, 514, 377, 521)(371, 515, 389, 533)(372, 516, 390, 534)(373, 517, 391, 535)(378, 522, 393, 537)(379, 523, 394, 538)(380, 524, 395, 539)(382, 526, 397, 541)(383, 527, 398, 542)(384, 528, 399, 543)(388, 532, 400, 544)(392, 536, 396, 540)(401, 545, 413, 557)(402, 546, 417, 561)(403, 547, 418, 562)(404, 548, 419, 563)(405, 549, 409, 553)(406, 550, 421, 565)(407, 551, 422, 566)(408, 552, 423, 567)(410, 554, 425, 569)(411, 555, 426, 570)(412, 556, 427, 571)(414, 558, 429, 573)(415, 559, 430, 574)(416, 560, 431, 575)(420, 564, 432, 576)(424, 568, 428, 572)
	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, 386)(80, 347)(81, 388)(82, 389)(83, 350)(84, 391)(85, 352)(86, 354)(87, 353)(88, 359)(89, 355)(90, 394)(91, 357)(92, 396)(93, 397)(94, 360)(95, 399)(96, 362)(97, 366)(98, 402)(99, 368)(100, 404)(101, 405)(102, 371)(103, 407)(104, 373)(105, 377)(106, 410)(107, 379)(108, 412)(109, 413)(110, 382)(111, 415)(112, 384)(113, 385)(114, 418)(115, 387)(116, 420)(117, 421)(118, 390)(119, 423)(120, 392)(121, 393)(122, 426)(123, 395)(124, 428)(125, 429)(126, 398)(127, 431)(128, 400)(129, 401)(130, 427)(131, 403)(132, 425)(133, 432)(134, 406)(135, 430)(136, 408)(137, 409)(138, 419)(139, 411)(140, 417)(141, 424)(142, 414)(143, 422)(144, 416)(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) :: { ( 16, 72 ), ( 16, 72, 16, 72 ) }
Outer automorphisms :: reflexible
Dual of E26.1322
Graph:: simple bipartite
	v = 216 e = 288 f = 22
	degree seq :: [ 2^144, 4^72 ]

E26.1324 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 36})
Quotient :: dipole
Aut^+ = (C9 x Q8) : C2 (small group id <144, 18>)
Aut   = $<288, 124>$ (small group id <288, 124>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y3 * Y1^-2)^2, (Y3 * Y1)^8, Y1^-2 * Y3 * Y1^3 * Y3 * Y1^-1 * Y3 * Y1^3 * Y3 * Y1^-9, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^17 * Y3 * Y1^-1 ]
Map::
	R = (1, 145, 2, 146, 5, 149, 11, 155, 20, 164, 32, 176, 47, 191, 65, 209, 86, 230, 105, 249, 121, 265, 137, 281, 132, 276, 116, 260, 100, 244, 80, 224, 95, 239, 78, 222, 93, 237, 79, 223, 94, 238, 81, 225, 96, 240, 112, 256, 128, 272, 144, 288, 136, 280, 120, 264, 104, 248, 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, 113, 257, 129, 273, 143, 287, 126, 270, 111, 255, 91, 235, 74, 218, 54, 198, 72, 216, 52, 196, 71, 215, 53, 197, 73, 217, 63, 207, 84, 228, 103, 247, 119, 263, 135, 279, 138, 282, 123, 267, 106, 250, 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, 101, 245, 117, 261, 133, 277, 142, 286, 127, 271, 110, 254, 92, 236, 70, 214, 60, 204, 43, 187, 58, 202, 41, 185, 57, 201, 42, 186, 59, 203, 77, 221, 99, 243, 115, 259, 131, 275, 139, 283, 122, 266, 107, 251, 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, 108, 252, 125, 269, 140, 284, 134, 278, 118, 262, 102, 246, 83, 227, 62, 206, 45, 189, 30, 174, 37, 181, 23, 167, 36, 180, 24, 168, 38, 182, 50, 194, 69, 213, 89, 233, 109, 253, 124, 268, 141, 285, 130, 274, 114, 258, 98, 242, 76, 220, 56, 200, 40, 184, 27, 171)(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, 390)(83, 391)(84, 388)(85, 389)(86, 394)(87, 353)(88, 396)(89, 355)(90, 398)(91, 357)(92, 400)(93, 359)(94, 360)(95, 361)(96, 362)(97, 402)(98, 403)(99, 404)(100, 372)(101, 373)(102, 370)(103, 371)(104, 401)(105, 410)(106, 374)(107, 412)(108, 376)(109, 414)(110, 378)(111, 416)(112, 380)(113, 392)(114, 385)(115, 386)(116, 387)(117, 422)(118, 423)(119, 420)(120, 421)(121, 426)(122, 393)(123, 428)(124, 395)(125, 430)(126, 397)(127, 432)(128, 399)(129, 429)(130, 427)(131, 425)(132, 407)(133, 408)(134, 405)(135, 406)(136, 431)(137, 419)(138, 409)(139, 418)(140, 411)(141, 417)(142, 413)(143, 424)(144, 415)(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, 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, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E26.1321
Graph:: simple bipartite
	v = 148 e = 288 f = 90
	degree seq :: [ 2^144, 72^4 ]

E26.1325 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 36})
Quotient :: dipole
Aut^+ = (C9 x Q8) : C2 (small group id <144, 18>)
Aut   = $<288, 124>$ (small group id <288, 124>)
|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)^8, Y2 * Y1 * Y2^-1 * Y1 * Y2^3 * Y1 * Y2^-13 * Y1 ]
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, 86, 230)(76, 220, 88, 232)(77, 221, 87, 231)(78, 222, 93, 237)(79, 223, 97, 241)(80, 224, 98, 242)(81, 225, 99, 243)(82, 226, 89, 233)(83, 227, 101, 245)(84, 228, 102, 246)(85, 229, 103, 247)(90, 234, 105, 249)(91, 235, 106, 250)(92, 236, 107, 251)(94, 238, 109, 253)(95, 239, 110, 254)(96, 240, 111, 255)(100, 244, 112, 256)(104, 248, 108, 252)(113, 257, 125, 269)(114, 258, 129, 273)(115, 259, 130, 274)(116, 260, 131, 275)(117, 261, 121, 265)(118, 262, 133, 277)(119, 263, 134, 278)(120, 264, 135, 279)(122, 266, 137, 281)(123, 267, 138, 282)(124, 268, 139, 283)(126, 270, 141, 285)(127, 271, 142, 286)(128, 272, 143, 287)(132, 276, 144, 288)(136, 280, 140, 284)(289, 433, 291, 435, 296, 440, 305, 449, 316, 460, 331, 475, 348, 492, 369, 513, 388, 532, 404, 548, 420, 564, 425, 569, 409, 553, 393, 537, 377, 521, 355, 499, 375, 519, 353, 497, 374, 518, 354, 498, 376, 520, 359, 503, 381, 525, 397, 541, 413, 557, 429, 573, 424, 568, 408, 552, 392, 536, 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, 396, 540, 412, 556, 428, 572, 417, 561, 401, 545, 385, 529, 366, 510, 345, 489, 364, 508, 343, 487, 363, 507, 344, 488, 365, 509, 349, 493, 370, 514, 389, 533, 405, 549, 421, 565, 432, 576, 416, 560, 400, 544, 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, 391, 535, 407, 551, 423, 567, 430, 574, 414, 558, 398, 542, 382, 526, 360, 504, 340, 484, 324, 468, 336, 480, 320, 464, 335, 479, 321, 465, 337, 481, 356, 500, 378, 522, 394, 538, 410, 554, 426, 570, 419, 563, 403, 547, 387, 531, 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, 399, 543, 415, 559, 431, 575, 422, 566, 406, 550, 390, 534, 371, 515, 350, 494, 332, 476, 317, 461, 328, 472, 313, 457, 327, 471, 314, 458, 329, 473, 346, 490, 367, 511, 386, 530, 402, 546, 418, 562, 427, 571, 411, 555, 395, 539, 379, 523, 357, 501, 338, 482, 322, 466, 309, 453)
	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, 374)(76, 376)(77, 375)(78, 381)(79, 385)(80, 386)(81, 387)(82, 377)(83, 389)(84, 390)(85, 391)(86, 363)(87, 365)(88, 364)(89, 370)(90, 393)(91, 394)(92, 395)(93, 366)(94, 397)(95, 398)(96, 399)(97, 367)(98, 368)(99, 369)(100, 400)(101, 371)(102, 372)(103, 373)(104, 396)(105, 378)(106, 379)(107, 380)(108, 392)(109, 382)(110, 383)(111, 384)(112, 388)(113, 413)(114, 417)(115, 418)(116, 419)(117, 409)(118, 421)(119, 422)(120, 423)(121, 405)(122, 425)(123, 426)(124, 427)(125, 401)(126, 429)(127, 430)(128, 431)(129, 402)(130, 403)(131, 404)(132, 432)(133, 406)(134, 407)(135, 408)(136, 428)(137, 410)(138, 411)(139, 412)(140, 424)(141, 414)(142, 415)(143, 416)(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, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 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 E26.1326
Graph:: bipartite
	v = 76 e = 288 f = 162
	degree seq :: [ 4^72, 72^4 ]

E26.1326 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 36})
Quotient :: dipole
Aut^+ = (C9 x Q8) : C2 (small group id <144, 18>)
Aut   = $<288, 124>$ (small group id <288, 124>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^8, Y1^-1 * Y3^-1 * Y1^2 * Y3^-17 * Y1^-1, (Y3 * Y2^-1)^36 ]
Map::
	R = (1, 145, 2, 146, 6, 150, 14, 158, 26, 170, 24, 168, 12, 156, 4, 148)(3, 147, 9, 153, 19, 163, 33, 177, 41, 185, 28, 172, 15, 159, 8, 152)(5, 149, 11, 155, 22, 166, 37, 181, 42, 186, 27, 171, 16, 160, 7, 151)(10, 154, 18, 162, 29, 173, 44, 188, 57, 201, 49, 193, 34, 178, 20, 164)(13, 157, 17, 161, 30, 174, 43, 187, 58, 202, 53, 197, 38, 182, 23, 167)(21, 165, 35, 179, 50, 194, 65, 209, 73, 217, 60, 204, 45, 189, 32, 176)(25, 169, 39, 183, 54, 198, 69, 213, 74, 218, 59, 203, 46, 190, 31, 175)(36, 180, 48, 192, 61, 205, 76, 220, 89, 233, 81, 225, 66, 210, 51, 195)(40, 184, 47, 191, 62, 206, 75, 219, 90, 234, 85, 229, 70, 214, 55, 199)(52, 196, 67, 211, 82, 226, 97, 241, 105, 249, 92, 236, 77, 221, 64, 208)(56, 200, 71, 215, 86, 230, 101, 245, 106, 250, 91, 235, 78, 222, 63, 207)(68, 212, 80, 224, 93, 237, 108, 252, 121, 265, 113, 257, 98, 242, 83, 227)(72, 216, 79, 223, 94, 238, 107, 251, 122, 266, 117, 261, 102, 246, 87, 231)(84, 228, 99, 243, 114, 258, 129, 273, 137, 281, 124, 268, 109, 253, 96, 240)(88, 232, 103, 247, 118, 262, 133, 277, 138, 282, 123, 267, 110, 254, 95, 239)(100, 244, 112, 256, 125, 269, 140, 284, 136, 280, 143, 287, 130, 274, 115, 259)(104, 248, 111, 255, 126, 270, 139, 283, 132, 276, 144, 288, 134, 278, 119, 263)(116, 260, 131, 275, 142, 286, 127, 271, 120, 264, 135, 279, 141, 285, 128, 272)(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, 329)(27, 331)(28, 302)(29, 333)(30, 304)(31, 335)(32, 306)(33, 312)(34, 338)(35, 308)(36, 340)(37, 341)(38, 310)(39, 343)(40, 313)(41, 345)(42, 314)(43, 347)(44, 316)(45, 349)(46, 318)(47, 351)(48, 320)(49, 321)(50, 354)(51, 323)(52, 356)(53, 357)(54, 326)(55, 359)(56, 328)(57, 361)(58, 330)(59, 363)(60, 332)(61, 365)(62, 334)(63, 367)(64, 336)(65, 337)(66, 370)(67, 339)(68, 372)(69, 373)(70, 342)(71, 375)(72, 344)(73, 377)(74, 346)(75, 379)(76, 348)(77, 381)(78, 350)(79, 383)(80, 352)(81, 353)(82, 386)(83, 355)(84, 388)(85, 389)(86, 358)(87, 391)(88, 360)(89, 393)(90, 362)(91, 395)(92, 364)(93, 397)(94, 366)(95, 399)(96, 368)(97, 369)(98, 402)(99, 371)(100, 404)(101, 405)(102, 374)(103, 407)(104, 376)(105, 409)(106, 378)(107, 411)(108, 380)(109, 413)(110, 382)(111, 415)(112, 384)(113, 385)(114, 418)(115, 387)(116, 420)(117, 421)(118, 390)(119, 423)(120, 392)(121, 425)(122, 394)(123, 427)(124, 396)(125, 429)(126, 398)(127, 431)(128, 400)(129, 401)(130, 430)(131, 403)(132, 426)(133, 432)(134, 406)(135, 428)(136, 408)(137, 424)(138, 410)(139, 419)(140, 412)(141, 422)(142, 414)(143, 417)(144, 416)(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, 72 ), ( 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72 ) }
Outer automorphisms :: reflexible
Dual of E26.1325
Graph:: simple bipartite
	v = 162 e = 288 f = 76
	degree seq :: [ 2^144, 16^18 ]

E26.1327 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: halfedge^2
Aut^+ = ((C5 x C5) : C3) : C2 (small group id <150, 5>)
Aut   = (((C5 x C5) : C3) : C2) : C2 (small group id <300, 25>)
|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^-1)^10 ]
Map::
	R = (1, 152, 2, 154, 4, 151)(3, 156, 6, 157, 7, 153)(5, 159, 9, 160, 10, 155)(8, 163, 13, 164, 14, 158)(11, 167, 17, 168, 18, 161)(12, 169, 19, 170, 20, 162)(15, 173, 23, 174, 24, 165)(16, 175, 25, 176, 26, 166)(21, 181, 31, 182, 32, 171)(22, 183, 33, 184, 34, 172)(27, 189, 39, 190, 40, 177)(28, 187, 37, 191, 41, 178)(29, 192, 42, 193, 43, 179)(30, 194, 44, 195, 45, 180)(35, 199, 49, 200, 50, 185)(36, 197, 47, 201, 51, 186)(38, 202, 52, 203, 53, 188)(46, 210, 60, 211, 61, 196)(48, 212, 62, 213, 63, 198)(54, 219, 69, 220, 70, 204)(55, 208, 58, 221, 71, 205)(56, 222, 72, 223, 73, 206)(57, 224, 74, 225, 75, 207)(59, 226, 76, 227, 77, 209)(64, 232, 82, 233, 83, 214)(65, 217, 67, 234, 84, 215)(66, 235, 85, 236, 86, 216)(68, 237, 87, 238, 88, 218)(78, 248, 98, 249, 99, 228)(79, 230, 80, 250, 100, 229)(81, 251, 101, 252, 102, 231)(89, 260, 110, 261, 111, 239)(90, 242, 92, 262, 112, 240)(91, 263, 113, 264, 114, 241)(93, 258, 108, 265, 115, 243)(94, 266, 116, 267, 117, 244)(95, 246, 96, 268, 118, 245)(97, 269, 119, 253, 103, 247)(104, 256, 106, 273, 123, 254)(105, 274, 124, 275, 125, 255)(107, 272, 122, 276, 126, 257)(109, 277, 127, 270, 120, 259)(121, 286, 136, 287, 137, 271)(128, 280, 130, 293, 143, 278)(129, 291, 141, 294, 144, 279)(131, 285, 135, 289, 139, 281)(132, 295, 145, 283, 133, 282)(134, 296, 146, 288, 138, 284)(140, 292, 142, 297, 147, 290)(148, 299, 149, 300, 150, 298)
	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, 120)(99, 117)(100, 121)(101, 122)(102, 110)(111, 128)(112, 129)(113, 130)(114, 131)(115, 132)(116, 133)(118, 134)(119, 135)(123, 138)(124, 139)(125, 140)(126, 141)(127, 142)(136, 147)(137, 143)(144, 148)(145, 149)(146, 150)(151, 153)(152, 155)(154, 158)(156, 161)(157, 162)(159, 165)(160, 166)(163, 171)(164, 172)(167, 177)(168, 178)(169, 179)(170, 180)(173, 185)(174, 186)(175, 187)(176, 188)(181, 196)(182, 193)(183, 197)(184, 198)(189, 204)(190, 205)(191, 206)(192, 207)(194, 208)(195, 209)(199, 214)(200, 215)(201, 216)(202, 217)(203, 218)(210, 228)(211, 229)(212, 230)(213, 231)(219, 239)(220, 240)(221, 241)(222, 242)(223, 243)(224, 244)(225, 245)(226, 246)(227, 247)(232, 253)(233, 254)(234, 255)(235, 256)(236, 257)(237, 258)(238, 259)(248, 270)(249, 267)(250, 271)(251, 272)(252, 260)(261, 278)(262, 279)(263, 280)(264, 281)(265, 282)(266, 283)(268, 284)(269, 285)(273, 288)(274, 289)(275, 290)(276, 291)(277, 292)(286, 297)(287, 293)(294, 298)(295, 299)(296, 300)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 50 e = 150 f = 50
	degree seq :: [ 6^50 ]

E26.1328 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: halfedge^2
Aut^+ = ((C5 x C5) : C3) : C2 (small group id <150, 6>)
Aut   = (((C5 x C5) : C3) : C2) : C2 (small group id <300, 25>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, Y1^3, R * Y3 * R * Y2, (R * Y1)^2, Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y2 * Y1 * Y2, (Y1^-1 * Y2 * Y3)^3, (Y2 * Y3 * Y1)^3, Y1 * Y2 * Y1 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3, Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2, Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y3, Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y3, Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y3 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 152, 2, 155, 5, 151)(3, 158, 8, 160, 10, 153)(4, 161, 11, 163, 13, 154)(6, 166, 16, 168, 18, 156)(7, 169, 19, 171, 21, 157)(9, 174, 24, 176, 26, 159)(12, 181, 31, 183, 33, 162)(14, 186, 36, 188, 38, 164)(15, 189, 39, 191, 41, 165)(17, 194, 44, 196, 46, 167)(20, 201, 51, 203, 53, 170)(22, 206, 56, 205, 55, 172)(23, 208, 58, 198, 48, 173)(25, 212, 62, 214, 64, 175)(27, 217, 67, 219, 69, 177)(28, 220, 70, 222, 72, 178)(29, 223, 73, 204, 54, 179)(30, 225, 75, 197, 47, 180)(32, 229, 79, 231, 81, 182)(34, 234, 84, 236, 86, 184)(35, 237, 87, 239, 89, 185)(37, 240, 90, 242, 92, 187)(40, 245, 95, 247, 97, 190)(42, 250, 100, 249, 99, 192)(43, 213, 63, 244, 94, 193)(45, 253, 103, 254, 104, 195)(49, 230, 80, 248, 98, 199)(50, 260, 110, 243, 93, 200)(52, 262, 112, 263, 113, 202)(57, 252, 102, 264, 114, 207)(59, 235, 85, 255, 105, 209)(60, 259, 109, 258, 108, 210)(61, 232, 82, 267, 117, 211)(65, 274, 124, 275, 125, 215)(66, 257, 107, 227, 77, 216)(68, 277, 127, 278, 128, 218)(71, 265, 115, 224, 74, 221)(76, 261, 111, 256, 106, 226)(78, 251, 101, 266, 116, 228)(83, 287, 137, 288, 138, 233)(88, 290, 140, 291, 141, 238)(91, 293, 143, 279, 129, 241)(96, 294, 144, 292, 142, 246)(118, 272, 122, 281, 131, 268)(119, 286, 136, 295, 145, 269)(120, 289, 139, 299, 149, 270)(121, 285, 135, 297, 147, 271)(123, 300, 150, 284, 134, 273)(126, 298, 148, 282, 132, 276)(130, 296, 146, 283, 133, 280)
	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, 65)(28, 71)(30, 76)(31, 77)(32, 80)(33, 82)(35, 88)(36, 87)(37, 91)(38, 93)(39, 84)(41, 98)(43, 101)(44, 83)(46, 105)(48, 108)(50, 68)(51, 111)(52, 86)(53, 114)(55, 117)(56, 103)(57, 99)(58, 118)(61, 120)(62, 89)(63, 122)(64, 75)(66, 126)(67, 107)(69, 129)(70, 124)(72, 131)(73, 96)(74, 132)(78, 92)(79, 134)(81, 135)(85, 139)(90, 115)(94, 138)(95, 127)(97, 141)(100, 143)(102, 123)(104, 110)(106, 146)(109, 130)(112, 136)(113, 148)(116, 150)(119, 125)(121, 128)(133, 142)(137, 147)(140, 145)(144, 149)(151, 154)(152, 157)(153, 159)(155, 165)(156, 167)(158, 173)(160, 178)(161, 180)(162, 182)(163, 185)(164, 187)(166, 193)(168, 198)(169, 200)(170, 202)(171, 205)(172, 207)(174, 211)(175, 213)(176, 216)(177, 218)(179, 224)(181, 228)(183, 233)(184, 235)(186, 220)(188, 244)(189, 217)(190, 246)(191, 249)(192, 238)(194, 252)(195, 222)(196, 256)(197, 257)(199, 259)(201, 215)(203, 265)(204, 266)(206, 231)(208, 241)(209, 269)(210, 247)(212, 271)(214, 273)(219, 229)(221, 280)(223, 268)(225, 262)(226, 243)(227, 283)(230, 272)(232, 286)(234, 287)(236, 281)(237, 267)(239, 292)(240, 290)(242, 278)(245, 255)(248, 275)(250, 263)(251, 289)(253, 276)(254, 295)(258, 297)(260, 294)(261, 285)(264, 299)(270, 279)(274, 300)(277, 298)(282, 288)(284, 291)(293, 296)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 50 e = 150 f = 50
	degree seq :: [ 6^50 ]

E26.1329 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: halfedge^2
Aut^+ = ((C5 x C5) : C3) : C2 (small group id <150, 6>)
Aut   = (((C5 x C5) : C3) : C2) : C2 (small group id <300, 25>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, Y2 * Y1 * Y3 * Y1^-1, (R * Y1)^2, R * Y2 * R * Y3, Y1^-1 * Y3 * Y1 * Y2 * Y1^-2 * Y3 * Y2 * Y1^-1, (Y2 * Y3 * Y1)^3, (Y3 * Y2)^5, Y2 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y1 * Y2 * Y3 * Y2 * Y1^-1, Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1 ]
Map::
	R = (1, 152, 2, 155, 5, 151)(3, 157, 7, 159, 9, 153)(4, 160, 10, 162, 12, 154)(6, 163, 13, 165, 15, 156)(8, 167, 17, 169, 19, 158)(11, 172, 22, 174, 24, 161)(14, 177, 27, 179, 29, 164)(16, 170, 20, 182, 32, 166)(18, 184, 34, 186, 36, 168)(21, 175, 25, 190, 40, 171)(23, 192, 42, 194, 44, 173)(26, 180, 30, 198, 48, 176)(28, 199, 49, 201, 51, 178)(31, 204, 54, 206, 56, 181)(33, 187, 37, 203, 53, 183)(35, 209, 59, 211, 61, 185)(38, 207, 57, 189, 39, 188)(41, 195, 45, 202, 52, 191)(43, 219, 69, 220, 70, 193)(46, 216, 66, 223, 73, 196)(47, 224, 74, 226, 76, 197)(50, 228, 78, 230, 80, 200)(55, 234, 84, 235, 85, 205)(58, 212, 62, 236, 86, 208)(60, 239, 89, 240, 90, 210)(63, 233, 83, 243, 93, 213)(64, 244, 94, 215, 65, 214)(67, 248, 98, 232, 82, 217)(68, 221, 71, 247, 97, 218)(72, 253, 103, 255, 105, 222)(75, 256, 106, 257, 107, 225)(77, 231, 81, 258, 108, 227)(79, 261, 111, 262, 112, 229)(87, 269, 119, 268, 118, 237)(88, 241, 91, 265, 115, 238)(92, 274, 124, 276, 126, 242)(95, 277, 127, 278, 128, 245)(96, 266, 116, 267, 117, 246)(99, 260, 110, 263, 113, 249)(100, 251, 101, 264, 114, 250)(102, 280, 130, 283, 133, 252)(104, 284, 134, 285, 135, 254)(109, 287, 137, 286, 136, 259)(120, 288, 138, 289, 139, 270)(121, 272, 122, 293, 143, 271)(123, 291, 141, 281, 131, 273)(125, 295, 145, 296, 146, 275)(129, 292, 142, 290, 140, 279)(132, 298, 148, 299, 149, 282)(144, 300, 150, 297, 147, 294)
	L = (1, 3)(2, 6)(4, 11)(5, 12)(7, 16)(8, 18)(9, 19)(10, 21)(13, 26)(14, 28)(15, 29)(17, 33)(20, 38)(22, 41)(23, 43)(24, 44)(25, 46)(27, 45)(30, 53)(31, 55)(32, 56)(34, 58)(35, 60)(36, 61)(37, 63)(39, 65)(40, 57)(42, 68)(47, 75)(48, 76)(49, 77)(50, 79)(51, 80)(52, 82)(54, 62)(59, 88)(64, 95)(66, 97)(67, 99)(69, 100)(70, 90)(71, 102)(72, 104)(73, 105)(74, 81)(78, 110)(83, 115)(84, 116)(85, 112)(86, 118)(87, 120)(89, 121)(91, 123)(92, 125)(93, 126)(94, 117)(96, 129)(98, 101)(103, 127)(106, 124)(107, 135)(108, 136)(109, 132)(111, 138)(113, 140)(114, 141)(119, 122)(128, 146)(130, 143)(131, 147)(133, 149)(134, 148)(137, 139)(142, 144)(145, 150)(151, 154)(152, 157)(153, 158)(155, 163)(156, 164)(159, 170)(160, 172)(161, 173)(162, 175)(165, 180)(166, 181)(167, 184)(168, 185)(169, 187)(171, 189)(174, 195)(176, 197)(177, 199)(178, 200)(179, 202)(182, 207)(183, 198)(186, 212)(188, 214)(190, 216)(191, 217)(192, 219)(193, 210)(194, 221)(196, 222)(201, 231)(203, 233)(204, 234)(205, 229)(206, 236)(208, 237)(209, 239)(211, 241)(213, 242)(215, 246)(218, 223)(220, 251)(224, 256)(225, 254)(226, 258)(227, 259)(228, 261)(230, 263)(232, 264)(235, 267)(238, 243)(240, 272)(244, 277)(245, 275)(247, 280)(248, 260)(249, 279)(250, 281)(252, 282)(253, 284)(255, 278)(257, 276)(262, 289)(265, 291)(266, 292)(268, 293)(269, 288)(270, 286)(271, 283)(273, 294)(274, 295)(285, 299)(287, 298)(290, 300)(296, 297)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 50 e = 150 f = 50
	degree seq :: [ 6^50 ]

E26.1330 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: halfedge^2
Aut^+ = ((C5 x C5) : C3) : C2 (small group id <150, 5>)
Aut   = C2 x (((C5 x C5) : C3) : C2) (small group id <300, 26>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, Y1^3, R * Y3 * R * Y2, (R * Y1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y2, Y1 * Y2 * Y1^-1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2, Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2, Y1 * Y2 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3, (Y1^-1 * Y2 * Y3)^3, (Y2 * Y3 * Y1)^3, Y2 * Y1 * Y3 * Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 152, 2, 155, 5, 151)(3, 158, 8, 160, 10, 153)(4, 161, 11, 163, 13, 154)(6, 166, 16, 168, 18, 156)(7, 169, 19, 171, 21, 157)(9, 174, 24, 176, 26, 159)(12, 181, 31, 183, 33, 162)(14, 186, 36, 188, 38, 164)(15, 189, 39, 191, 41, 165)(17, 194, 44, 196, 46, 167)(20, 201, 51, 203, 53, 170)(22, 206, 56, 208, 58, 172)(23, 209, 59, 211, 61, 173)(25, 214, 64, 216, 66, 175)(27, 219, 69, 200, 50, 177)(28, 221, 71, 193, 43, 178)(29, 223, 73, 225, 75, 179)(30, 226, 76, 228, 78, 180)(32, 231, 81, 233, 83, 182)(34, 236, 86, 199, 49, 184)(35, 238, 88, 192, 42, 185)(37, 242, 92, 244, 94, 187)(40, 247, 97, 249, 99, 190)(45, 253, 103, 254, 104, 195)(47, 257, 107, 246, 96, 197)(48, 215, 65, 241, 91, 198)(52, 262, 112, 263, 113, 202)(54, 232, 82, 245, 95, 204)(55, 267, 117, 240, 90, 205)(57, 268, 118, 269, 119, 207)(60, 237, 87, 265, 115, 210)(62, 251, 101, 266, 116, 212)(63, 260, 110, 234, 84, 213)(67, 278, 128, 271, 121, 217)(68, 229, 79, 250, 100, 218)(70, 264, 114, 252, 102, 220)(72, 255, 105, 224, 74, 222)(77, 284, 134, 285, 135, 227)(80, 259, 109, 258, 108, 230)(85, 291, 141, 282, 132, 235)(89, 256, 106, 261, 111, 239)(93, 270, 120, 293, 143, 243)(98, 286, 136, 294, 144, 248)(122, 297, 147, 287, 137, 272)(123, 276, 126, 280, 130, 273)(124, 283, 133, 300, 150, 274)(125, 298, 148, 289, 139, 275)(127, 288, 138, 295, 145, 277)(129, 299, 149, 292, 142, 279)(131, 290, 140, 296, 146, 281)
	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, 77)(31, 79)(32, 82)(33, 84)(35, 89)(36, 90)(37, 93)(38, 76)(39, 95)(41, 73)(43, 101)(44, 85)(46, 105)(48, 108)(50, 110)(51, 111)(52, 75)(53, 114)(55, 57)(56, 100)(58, 120)(59, 121)(61, 123)(63, 124)(64, 88)(65, 126)(66, 78)(68, 129)(69, 104)(70, 96)(71, 130)(74, 133)(80, 94)(81, 138)(83, 139)(86, 98)(87, 142)(91, 141)(92, 115)(97, 119)(99, 134)(102, 125)(103, 117)(106, 147)(107, 143)(109, 148)(112, 149)(113, 140)(116, 122)(118, 127)(128, 131)(132, 145)(135, 146)(136, 137)(144, 150)(151, 154)(152, 157)(153, 159)(155, 165)(156, 167)(158, 173)(160, 178)(161, 180)(162, 182)(163, 185)(164, 187)(166, 193)(168, 198)(169, 200)(170, 202)(171, 205)(172, 207)(174, 213)(175, 215)(176, 218)(177, 220)(179, 224)(181, 230)(183, 235)(184, 237)(186, 241)(188, 209)(189, 246)(190, 248)(191, 206)(192, 250)(194, 252)(195, 211)(196, 256)(197, 227)(199, 259)(201, 217)(203, 265)(204, 266)(208, 233)(210, 272)(212, 249)(214, 275)(216, 277)(219, 231)(221, 243)(222, 281)(223, 282)(225, 273)(226, 260)(228, 286)(229, 287)(232, 276)(234, 290)(236, 280)(238, 263)(239, 240)(242, 285)(244, 268)(245, 278)(247, 255)(251, 295)(253, 296)(254, 279)(257, 262)(258, 283)(261, 288)(264, 300)(267, 294)(269, 299)(270, 274)(271, 298)(284, 289)(291, 292)(293, 297)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 50 e = 150 f = 50
	degree seq :: [ 6^50 ]

E26.1331 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = ((C5 x C5) : C3) : C2 (small group id <150, 5>)
Aut   = (((C5 x C5) : C3) : C2) : C2 (small group id <300, 25>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, Y3^3, R * Y1 * R * Y2, (R * Y3)^2, (Y1 * Y3 * Y1 * Y3^-1)^3, (Y1 * Y3^-1)^10 ]
Map::
	R = (1, 151, 3, 153, 4, 154)(2, 152, 5, 155, 6, 156)(7, 157, 11, 161, 12, 162)(8, 158, 13, 163, 14, 164)(9, 159, 15, 165, 16, 166)(10, 160, 17, 167, 18, 168)(19, 169, 27, 177, 28, 178)(20, 170, 29, 179, 30, 180)(21, 171, 31, 181, 32, 182)(22, 172, 33, 183, 34, 184)(23, 173, 35, 185, 36, 186)(24, 174, 37, 187, 38, 188)(25, 175, 39, 189, 40, 190)(26, 176, 41, 191, 42, 192)(43, 193, 55, 205, 56, 206)(44, 194, 47, 197, 57, 207)(45, 195, 58, 208, 59, 209)(46, 196, 60, 210, 61, 211)(48, 198, 62, 212, 63, 213)(49, 199, 64, 214, 65, 215)(50, 200, 53, 203, 66, 216)(51, 201, 67, 217, 68, 218)(52, 202, 69, 219, 70, 220)(54, 204, 71, 221, 72, 222)(73, 223, 91, 241, 92, 242)(74, 224, 76, 226, 93, 243)(75, 225, 94, 244, 95, 245)(77, 227, 96, 246, 97, 247)(78, 228, 98, 248, 99, 249)(79, 229, 80, 230, 100, 250)(81, 231, 101, 251, 102, 252)(82, 232, 103, 253, 104, 254)(83, 233, 85, 235, 105, 255)(84, 234, 106, 256, 107, 257)(86, 236, 108, 258, 109, 259)(87, 237, 110, 260, 111, 261)(88, 238, 89, 239, 112, 262)(90, 240, 113, 263, 114, 264)(115, 265, 117, 267, 131, 281)(116, 266, 132, 282, 133, 283)(118, 268, 122, 272, 134, 284)(119, 269, 135, 285, 120, 270)(121, 271, 136, 286, 137, 287)(123, 273, 125, 275, 138, 288)(124, 274, 139, 289, 140, 290)(126, 276, 130, 280, 141, 291)(127, 277, 142, 292, 128, 278)(129, 279, 143, 293, 144, 294)(145, 295, 146, 296, 147, 297)(148, 298, 149, 299, 150, 300)(301, 302)(303, 307)(304, 308)(305, 309)(306, 310)(311, 319)(312, 320)(313, 321)(314, 322)(315, 323)(316, 324)(317, 325)(318, 326)(327, 343)(328, 344)(329, 337)(330, 345)(331, 346)(332, 340)(333, 347)(334, 348)(335, 349)(336, 350)(338, 351)(339, 352)(341, 353)(342, 354)(355, 373)(356, 374)(357, 375)(358, 376)(359, 377)(360, 378)(361, 379)(362, 380)(363, 381)(364, 382)(365, 383)(366, 384)(367, 385)(368, 386)(369, 387)(370, 388)(371, 389)(372, 390)(391, 414)(392, 415)(393, 416)(394, 417)(395, 418)(396, 408)(397, 419)(398, 420)(399, 411)(400, 421)(401, 422)(402, 403)(404, 423)(405, 424)(406, 425)(407, 426)(409, 427)(410, 428)(412, 429)(413, 430)(431, 444)(432, 441)(433, 445)(434, 439)(435, 446)(436, 447)(437, 438)(440, 448)(442, 449)(443, 450)(451, 452)(453, 457)(454, 458)(455, 459)(456, 460)(461, 469)(462, 470)(463, 471)(464, 472)(465, 473)(466, 474)(467, 475)(468, 476)(477, 493)(478, 494)(479, 487)(480, 495)(481, 496)(482, 490)(483, 497)(484, 498)(485, 499)(486, 500)(488, 501)(489, 502)(491, 503)(492, 504)(505, 523)(506, 524)(507, 525)(508, 526)(509, 527)(510, 528)(511, 529)(512, 530)(513, 531)(514, 532)(515, 533)(516, 534)(517, 535)(518, 536)(519, 537)(520, 538)(521, 539)(522, 540)(541, 564)(542, 565)(543, 566)(544, 567)(545, 568)(546, 558)(547, 569)(548, 570)(549, 561)(550, 571)(551, 572)(552, 553)(554, 573)(555, 574)(556, 575)(557, 576)(559, 577)(560, 578)(562, 579)(563, 580)(581, 594)(582, 591)(583, 595)(584, 589)(585, 596)(586, 597)(587, 588)(590, 598)(592, 599)(593, 600)
	L = (1, 301)(2, 302)(3, 303)(4, 304)(5, 305)(6, 306)(7, 307)(8, 308)(9, 309)(10, 310)(11, 311)(12, 312)(13, 313)(14, 314)(15, 315)(16, 316)(17, 317)(18, 318)(19, 319)(20, 320)(21, 321)(22, 322)(23, 323)(24, 324)(25, 325)(26, 326)(27, 327)(28, 328)(29, 329)(30, 330)(31, 331)(32, 332)(33, 333)(34, 334)(35, 335)(36, 336)(37, 337)(38, 338)(39, 339)(40, 340)(41, 341)(42, 342)(43, 343)(44, 344)(45, 345)(46, 346)(47, 347)(48, 348)(49, 349)(50, 350)(51, 351)(52, 352)(53, 353)(54, 354)(55, 355)(56, 356)(57, 357)(58, 358)(59, 359)(60, 360)(61, 361)(62, 362)(63, 363)(64, 364)(65, 365)(66, 366)(67, 367)(68, 368)(69, 369)(70, 370)(71, 371)(72, 372)(73, 373)(74, 374)(75, 375)(76, 376)(77, 377)(78, 378)(79, 379)(80, 380)(81, 381)(82, 382)(83, 383)(84, 384)(85, 385)(86, 386)(87, 387)(88, 388)(89, 389)(90, 390)(91, 391)(92, 392)(93, 393)(94, 394)(95, 395)(96, 396)(97, 397)(98, 398)(99, 399)(100, 400)(101, 401)(102, 402)(103, 403)(104, 404)(105, 405)(106, 406)(107, 407)(108, 408)(109, 409)(110, 410)(111, 411)(112, 412)(113, 413)(114, 414)(115, 415)(116, 416)(117, 417)(118, 418)(119, 419)(120, 420)(121, 421)(122, 422)(123, 423)(124, 424)(125, 425)(126, 426)(127, 427)(128, 428)(129, 429)(130, 430)(131, 431)(132, 432)(133, 433)(134, 434)(135, 435)(136, 436)(137, 437)(138, 438)(139, 439)(140, 440)(141, 441)(142, 442)(143, 443)(144, 444)(145, 445)(146, 446)(147, 447)(148, 448)(149, 449)(150, 450)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E26.1337
Graph:: simple bipartite
	v = 200 e = 300 f = 50
	degree seq :: [ 2^150, 6^50 ]

E26.1332 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = ((C5 x C5) : C3) : C2 (small group id <150, 6>)
Aut   = (((C5 x C5) : C3) : C2) : C2 (small group id <300, 25>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y2, Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y3^-1, (Y1 * Y3^-1 * Y2)^3, Y2 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1, (Y2 * Y1 * Y3)^3, (Y2 * Y1)^5, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y2 * Y3 * Y1 ]
Map:: polytopal
	R = (1, 151, 4, 154, 5, 155)(2, 152, 7, 157, 8, 158)(3, 153, 10, 160, 11, 161)(6, 156, 17, 167, 18, 168)(9, 159, 24, 174, 25, 175)(12, 162, 31, 181, 32, 182)(13, 163, 34, 184, 35, 185)(14, 164, 37, 187, 38, 188)(15, 165, 40, 190, 41, 191)(16, 166, 43, 193, 44, 194)(19, 169, 50, 200, 51, 201)(20, 170, 53, 203, 54, 204)(21, 171, 56, 206, 57, 207)(22, 172, 59, 209, 60, 210)(23, 173, 62, 212, 63, 213)(26, 176, 69, 219, 70, 220)(27, 177, 72, 222, 73, 223)(28, 178, 75, 225, 76, 226)(29, 179, 78, 228, 79, 229)(30, 180, 81, 231, 82, 232)(33, 183, 86, 236, 87, 237)(36, 186, 91, 241, 92, 242)(39, 189, 96, 246, 97, 247)(42, 192, 94, 244, 84, 234)(45, 195, 103, 253, 104, 254)(46, 196, 66, 216, 106, 256)(47, 197, 107, 257, 108, 258)(48, 198, 110, 260, 64, 214)(49, 199, 111, 261, 112, 262)(52, 202, 74, 224, 115, 265)(55, 205, 117, 267, 118, 268)(58, 208, 121, 271, 68, 218)(61, 211, 98, 248, 88, 238)(65, 215, 126, 276, 127, 277)(67, 217, 129, 279, 130, 280)(71, 221, 132, 282, 133, 283)(77, 227, 136, 286, 137, 287)(80, 230, 113, 263, 139, 289)(83, 233, 140, 290, 99, 249)(85, 235, 134, 284, 141, 291)(89, 239, 142, 292, 93, 243)(90, 240, 143, 293, 119, 269)(95, 245, 144, 294, 138, 288)(100, 250, 122, 272, 116, 266)(101, 251, 124, 274, 145, 295)(102, 252, 146, 296, 123, 273)(105, 255, 135, 285, 147, 297)(109, 259, 148, 298, 131, 281)(114, 264, 128, 278, 149, 299)(120, 270, 150, 300, 125, 275)(301, 302)(303, 309)(304, 312)(305, 314)(306, 316)(307, 319)(308, 321)(310, 326)(311, 328)(313, 333)(315, 339)(317, 345)(318, 347)(320, 352)(322, 358)(323, 361)(324, 364)(325, 366)(327, 371)(329, 377)(330, 380)(331, 383)(332, 373)(334, 388)(335, 370)(336, 390)(337, 378)(338, 393)(340, 375)(341, 398)(342, 400)(343, 379)(344, 372)(346, 405)(348, 409)(349, 399)(350, 413)(351, 406)(353, 416)(354, 404)(355, 389)(356, 410)(357, 419)(359, 407)(360, 422)(362, 423)(363, 424)(365, 392)(367, 381)(368, 431)(369, 395)(374, 435)(376, 385)(382, 415)(384, 426)(386, 432)(387, 412)(391, 421)(394, 430)(396, 417)(397, 437)(401, 418)(402, 411)(403, 420)(408, 414)(425, 438)(427, 446)(428, 434)(429, 445)(433, 450)(436, 449)(439, 442)(440, 443)(441, 448)(444, 447)(451, 453)(452, 456)(454, 463)(455, 465)(457, 470)(458, 472)(459, 473)(460, 477)(461, 479)(462, 480)(464, 486)(466, 492)(467, 496)(468, 498)(469, 499)(471, 505)(474, 515)(475, 517)(476, 518)(478, 524)(481, 534)(482, 504)(483, 535)(484, 539)(485, 501)(487, 509)(488, 544)(489, 545)(490, 506)(491, 549)(493, 551)(494, 552)(495, 547)(497, 536)(500, 513)(502, 564)(503, 540)(507, 512)(508, 570)(510, 530)(511, 550)(514, 575)(516, 578)(519, 566)(520, 577)(521, 543)(522, 584)(523, 560)(525, 579)(526, 572)(527, 533)(528, 556)(529, 588)(531, 561)(532, 583)(537, 571)(538, 553)(541, 586)(542, 568)(546, 565)(548, 558)(554, 595)(555, 569)(557, 596)(559, 563)(562, 597)(567, 598)(573, 587)(574, 582)(576, 585)(580, 581)(589, 599)(590, 591)(592, 594)(593, 600)
	L = (1, 301)(2, 302)(3, 303)(4, 304)(5, 305)(6, 306)(7, 307)(8, 308)(9, 309)(10, 310)(11, 311)(12, 312)(13, 313)(14, 314)(15, 315)(16, 316)(17, 317)(18, 318)(19, 319)(20, 320)(21, 321)(22, 322)(23, 323)(24, 324)(25, 325)(26, 326)(27, 327)(28, 328)(29, 329)(30, 330)(31, 331)(32, 332)(33, 333)(34, 334)(35, 335)(36, 336)(37, 337)(38, 338)(39, 339)(40, 340)(41, 341)(42, 342)(43, 343)(44, 344)(45, 345)(46, 346)(47, 347)(48, 348)(49, 349)(50, 350)(51, 351)(52, 352)(53, 353)(54, 354)(55, 355)(56, 356)(57, 357)(58, 358)(59, 359)(60, 360)(61, 361)(62, 362)(63, 363)(64, 364)(65, 365)(66, 366)(67, 367)(68, 368)(69, 369)(70, 370)(71, 371)(72, 372)(73, 373)(74, 374)(75, 375)(76, 376)(77, 377)(78, 378)(79, 379)(80, 380)(81, 381)(82, 382)(83, 383)(84, 384)(85, 385)(86, 386)(87, 387)(88, 388)(89, 389)(90, 390)(91, 391)(92, 392)(93, 393)(94, 394)(95, 395)(96, 396)(97, 397)(98, 398)(99, 399)(100, 400)(101, 401)(102, 402)(103, 403)(104, 404)(105, 405)(106, 406)(107, 407)(108, 408)(109, 409)(110, 410)(111, 411)(112, 412)(113, 413)(114, 414)(115, 415)(116, 416)(117, 417)(118, 418)(119, 419)(120, 420)(121, 421)(122, 422)(123, 423)(124, 424)(125, 425)(126, 426)(127, 427)(128, 428)(129, 429)(130, 430)(131, 431)(132, 432)(133, 433)(134, 434)(135, 435)(136, 436)(137, 437)(138, 438)(139, 439)(140, 440)(141, 441)(142, 442)(143, 443)(144, 444)(145, 445)(146, 446)(147, 447)(148, 448)(149, 449)(150, 450)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E26.1338
Graph:: simple bipartite
	v = 200 e = 300 f = 50
	degree seq :: [ 2^150, 6^50 ]

E26.1333 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = ((C5 x C5) : C3) : C2 (small group id <150, 6>)
Aut   = (((C5 x C5) : C3) : C2) : C2 (small group id <300, 25>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y3^-1 * Y2 * Y3, Y3^-1 * Y1 * Y3 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-1, (Y2 * Y1 * Y3)^3, (Y2 * Y1)^5 ]
Map::
	R = (1, 151, 4, 154, 5, 155)(2, 152, 7, 157, 8, 158)(3, 153, 10, 160, 11, 161)(6, 156, 15, 165, 16, 166)(9, 159, 20, 170, 21, 171)(12, 162, 13, 163, 25, 175)(14, 164, 28, 178, 29, 179)(17, 167, 18, 168, 33, 183)(19, 169, 36, 186, 37, 187)(22, 172, 23, 173, 41, 191)(24, 174, 44, 194, 45, 195)(26, 176, 46, 196, 48, 198)(27, 177, 50, 200, 51, 201)(30, 180, 31, 181, 55, 205)(32, 182, 42, 192, 57, 207)(34, 184, 58, 208, 60, 210)(35, 185, 61, 211, 62, 212)(38, 188, 39, 189, 65, 215)(40, 190, 68, 218, 69, 219)(43, 193, 72, 222, 73, 223)(47, 197, 75, 225, 76, 226)(49, 199, 77, 227, 78, 228)(52, 202, 53, 203, 81, 231)(54, 204, 84, 234, 85, 235)(56, 206, 70, 220, 87, 237)(59, 209, 89, 239, 90, 240)(63, 213, 64, 214, 94, 244)(66, 216, 95, 245, 97, 247)(67, 217, 99, 249, 100, 250)(71, 221, 102, 252, 103, 253)(74, 224, 106, 256, 107, 257)(79, 229, 80, 230, 112, 262)(82, 232, 113, 263, 115, 265)(83, 233, 117, 267, 118, 268)(86, 236, 119, 269, 120, 270)(88, 238, 122, 272, 123, 273)(91, 241, 92, 242, 125, 275)(93, 243, 128, 278, 129, 279)(96, 246, 131, 281, 132, 282)(98, 248, 133, 283, 134, 284)(101, 251, 121, 271, 124, 274)(104, 254, 105, 255, 108, 258)(109, 259, 110, 260, 137, 287)(111, 261, 126, 276, 139, 289)(114, 264, 140, 290, 141, 291)(116, 266, 142, 292, 143, 293)(127, 277, 146, 296, 147, 297)(130, 280, 148, 298, 144, 294)(135, 285, 149, 299, 136, 286)(138, 288, 145, 295, 150, 300)(301, 302)(303, 309)(304, 310)(305, 313)(306, 314)(307, 315)(308, 318)(311, 323)(312, 324)(316, 331)(317, 332)(319, 335)(320, 336)(321, 339)(322, 340)(325, 346)(326, 347)(327, 349)(328, 350)(329, 353)(330, 354)(333, 358)(334, 359)(337, 364)(338, 348)(341, 357)(342, 370)(343, 371)(344, 372)(345, 355)(351, 380)(352, 360)(356, 386)(361, 377)(362, 392)(363, 393)(365, 395)(366, 396)(367, 398)(368, 399)(369, 394)(373, 405)(374, 388)(375, 406)(376, 408)(378, 410)(379, 411)(381, 413)(382, 414)(383, 416)(384, 417)(385, 412)(387, 421)(389, 422)(390, 424)(391, 397)(400, 420)(401, 430)(402, 433)(403, 418)(404, 435)(407, 432)(409, 415)(419, 442)(423, 441)(425, 439)(426, 445)(427, 436)(428, 446)(429, 437)(431, 448)(434, 447)(438, 444)(440, 449)(443, 450)(451, 453)(452, 456)(454, 462)(455, 458)(457, 467)(459, 469)(460, 472)(461, 471)(463, 476)(464, 477)(465, 480)(466, 479)(468, 484)(470, 488)(473, 492)(474, 493)(475, 495)(478, 502)(481, 494)(482, 506)(483, 507)(485, 499)(486, 513)(487, 512)(489, 516)(490, 517)(491, 519)(496, 515)(497, 524)(498, 526)(500, 529)(501, 528)(503, 532)(504, 533)(505, 535)(508, 531)(509, 538)(510, 540)(511, 541)(514, 518)(520, 551)(521, 548)(522, 554)(523, 553)(525, 555)(527, 559)(530, 534)(536, 566)(537, 570)(539, 571)(542, 576)(543, 577)(544, 579)(545, 575)(546, 580)(547, 582)(549, 569)(550, 584)(552, 567)(556, 581)(557, 573)(558, 586)(560, 578)(561, 588)(562, 589)(563, 587)(564, 585)(565, 591)(568, 593)(572, 590)(574, 594)(583, 596)(592, 595)(597, 599)(598, 600)
	L = (1, 301)(2, 302)(3, 303)(4, 304)(5, 305)(6, 306)(7, 307)(8, 308)(9, 309)(10, 310)(11, 311)(12, 312)(13, 313)(14, 314)(15, 315)(16, 316)(17, 317)(18, 318)(19, 319)(20, 320)(21, 321)(22, 322)(23, 323)(24, 324)(25, 325)(26, 326)(27, 327)(28, 328)(29, 329)(30, 330)(31, 331)(32, 332)(33, 333)(34, 334)(35, 335)(36, 336)(37, 337)(38, 338)(39, 339)(40, 340)(41, 341)(42, 342)(43, 343)(44, 344)(45, 345)(46, 346)(47, 347)(48, 348)(49, 349)(50, 350)(51, 351)(52, 352)(53, 353)(54, 354)(55, 355)(56, 356)(57, 357)(58, 358)(59, 359)(60, 360)(61, 361)(62, 362)(63, 363)(64, 364)(65, 365)(66, 366)(67, 367)(68, 368)(69, 369)(70, 370)(71, 371)(72, 372)(73, 373)(74, 374)(75, 375)(76, 376)(77, 377)(78, 378)(79, 379)(80, 380)(81, 381)(82, 382)(83, 383)(84, 384)(85, 385)(86, 386)(87, 387)(88, 388)(89, 389)(90, 390)(91, 391)(92, 392)(93, 393)(94, 394)(95, 395)(96, 396)(97, 397)(98, 398)(99, 399)(100, 400)(101, 401)(102, 402)(103, 403)(104, 404)(105, 405)(106, 406)(107, 407)(108, 408)(109, 409)(110, 410)(111, 411)(112, 412)(113, 413)(114, 414)(115, 415)(116, 416)(117, 417)(118, 418)(119, 419)(120, 420)(121, 421)(122, 422)(123, 423)(124, 424)(125, 425)(126, 426)(127, 427)(128, 428)(129, 429)(130, 430)(131, 431)(132, 432)(133, 433)(134, 434)(135, 435)(136, 436)(137, 437)(138, 438)(139, 439)(140, 440)(141, 441)(142, 442)(143, 443)(144, 444)(145, 445)(146, 446)(147, 447)(148, 448)(149, 449)(150, 450)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E26.1339
Graph:: simple bipartite
	v = 200 e = 300 f = 50
	degree seq :: [ 2^150, 6^50 ]

E26.1334 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = ((C5 x C5) : C3) : C2 (small group id <150, 5>)
Aut   = C2 x (((C5 x C5) : C3) : C2) (small group id <300, 26>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2, Y2 * Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3^-1, Y1 * Y2 * Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y3, (Y2 * Y1 * Y3)^3, (Y1 * Y3^-1 * Y2)^3, Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y2, Y3^-1 * Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y3 * Y1, (Y2 * Y1)^5 ]
Map:: polytopal
	R = (1, 151, 4, 154, 5, 155)(2, 152, 7, 157, 8, 158)(3, 153, 10, 160, 11, 161)(6, 156, 17, 167, 18, 168)(9, 159, 24, 174, 25, 175)(12, 162, 31, 181, 32, 182)(13, 163, 34, 184, 35, 185)(14, 164, 37, 187, 38, 188)(15, 165, 40, 190, 41, 191)(16, 166, 43, 193, 44, 194)(19, 169, 50, 200, 51, 201)(20, 170, 53, 203, 54, 204)(21, 171, 56, 206, 57, 207)(22, 172, 59, 209, 60, 210)(23, 173, 62, 212, 63, 213)(26, 176, 69, 219, 70, 220)(27, 177, 72, 222, 73, 223)(28, 178, 75, 225, 76, 226)(29, 179, 78, 228, 79, 229)(30, 180, 81, 231, 82, 232)(33, 183, 86, 236, 87, 237)(36, 186, 91, 241, 92, 242)(39, 189, 96, 246, 97, 247)(42, 192, 94, 244, 84, 234)(45, 195, 103, 253, 104, 254)(46, 196, 106, 256, 66, 216)(47, 197, 107, 257, 108, 258)(48, 198, 64, 214, 110, 260)(49, 199, 111, 261, 112, 262)(52, 202, 74, 224, 115, 265)(55, 205, 117, 267, 118, 268)(58, 208, 121, 271, 68, 218)(61, 211, 98, 248, 88, 238)(65, 215, 126, 276, 127, 277)(67, 217, 129, 279, 130, 280)(71, 221, 132, 282, 133, 283)(77, 227, 136, 286, 137, 287)(80, 230, 139, 289, 119, 269)(83, 233, 140, 290, 99, 249)(85, 235, 141, 291, 138, 288)(89, 239, 142, 292, 93, 243)(90, 240, 113, 263, 143, 293)(95, 245, 134, 284, 144, 294)(100, 250, 122, 272, 116, 266)(101, 251, 145, 295, 124, 274)(102, 252, 123, 273, 146, 296)(105, 255, 131, 281, 147, 297)(109, 259, 148, 298, 135, 285)(114, 264, 149, 299, 125, 275)(120, 270, 128, 278, 150, 300)(301, 302)(303, 309)(304, 312)(305, 314)(306, 316)(307, 319)(308, 321)(310, 326)(311, 328)(313, 333)(315, 339)(317, 345)(318, 347)(320, 352)(322, 358)(323, 361)(324, 364)(325, 366)(327, 371)(329, 377)(330, 380)(331, 379)(332, 383)(334, 376)(335, 388)(336, 390)(337, 393)(338, 372)(340, 398)(341, 369)(342, 400)(343, 378)(344, 373)(346, 405)(348, 409)(349, 389)(350, 410)(351, 413)(353, 408)(354, 416)(355, 399)(356, 419)(357, 406)(359, 422)(360, 403)(362, 423)(363, 424)(365, 392)(367, 381)(368, 431)(370, 385)(374, 435)(375, 395)(382, 421)(384, 427)(386, 437)(387, 417)(391, 415)(394, 429)(396, 412)(397, 432)(401, 418)(402, 411)(404, 414)(407, 420)(425, 434)(426, 445)(428, 438)(430, 446)(433, 450)(436, 449)(439, 442)(440, 443)(441, 448)(444, 447)(451, 453)(452, 456)(454, 463)(455, 465)(457, 470)(458, 472)(459, 473)(460, 477)(461, 479)(462, 480)(464, 486)(466, 492)(467, 496)(468, 498)(469, 499)(471, 505)(474, 515)(475, 517)(476, 518)(478, 524)(481, 510)(482, 534)(483, 535)(484, 507)(485, 539)(487, 544)(488, 503)(489, 545)(490, 549)(491, 500)(493, 551)(494, 552)(495, 547)(497, 536)(501, 513)(502, 564)(504, 530)(506, 512)(508, 570)(509, 540)(511, 550)(514, 575)(516, 578)(519, 580)(520, 566)(521, 533)(522, 556)(523, 584)(525, 572)(526, 576)(527, 543)(528, 588)(529, 560)(531, 568)(532, 586)(537, 565)(538, 554)(541, 583)(542, 561)(546, 571)(548, 557)(553, 596)(555, 563)(558, 595)(559, 569)(562, 598)(567, 597)(573, 587)(574, 582)(577, 581)(579, 585)(589, 600)(590, 591)(592, 594)(593, 599)
	L = (1, 301)(2, 302)(3, 303)(4, 304)(5, 305)(6, 306)(7, 307)(8, 308)(9, 309)(10, 310)(11, 311)(12, 312)(13, 313)(14, 314)(15, 315)(16, 316)(17, 317)(18, 318)(19, 319)(20, 320)(21, 321)(22, 322)(23, 323)(24, 324)(25, 325)(26, 326)(27, 327)(28, 328)(29, 329)(30, 330)(31, 331)(32, 332)(33, 333)(34, 334)(35, 335)(36, 336)(37, 337)(38, 338)(39, 339)(40, 340)(41, 341)(42, 342)(43, 343)(44, 344)(45, 345)(46, 346)(47, 347)(48, 348)(49, 349)(50, 350)(51, 351)(52, 352)(53, 353)(54, 354)(55, 355)(56, 356)(57, 357)(58, 358)(59, 359)(60, 360)(61, 361)(62, 362)(63, 363)(64, 364)(65, 365)(66, 366)(67, 367)(68, 368)(69, 369)(70, 370)(71, 371)(72, 372)(73, 373)(74, 374)(75, 375)(76, 376)(77, 377)(78, 378)(79, 379)(80, 380)(81, 381)(82, 382)(83, 383)(84, 384)(85, 385)(86, 386)(87, 387)(88, 388)(89, 389)(90, 390)(91, 391)(92, 392)(93, 393)(94, 394)(95, 395)(96, 396)(97, 397)(98, 398)(99, 399)(100, 400)(101, 401)(102, 402)(103, 403)(104, 404)(105, 405)(106, 406)(107, 407)(108, 408)(109, 409)(110, 410)(111, 411)(112, 412)(113, 413)(114, 414)(115, 415)(116, 416)(117, 417)(118, 418)(119, 419)(120, 420)(121, 421)(122, 422)(123, 423)(124, 424)(125, 425)(126, 426)(127, 427)(128, 428)(129, 429)(130, 430)(131, 431)(132, 432)(133, 433)(134, 434)(135, 435)(136, 436)(137, 437)(138, 438)(139, 439)(140, 440)(141, 441)(142, 442)(143, 443)(144, 444)(145, 445)(146, 446)(147, 447)(148, 448)(149, 449)(150, 450)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E26.1340
Graph:: simple bipartite
	v = 200 e = 300 f = 50
	degree seq :: [ 2^150, 6^50 ]

E26.1335 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = ((C5 x C5) : C3) : C2 (small group id <150, 5>)
Aut   = (((C5 x C5) : C3) : C2) : C2 (small group id <300, 25>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, Y2^3, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y2^-1 * Y1^-1)^2, Y1 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, (Y1^-1 * Y2^-1)^3, Y2 * Y1^-1 * Y2 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y2 * Y1^-1, Y3 * Y2 * Y1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1 * Y3 * Y1^-1, Y3 * Y2 * Y1 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y1^-1 * Y2^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 151, 4, 154)(2, 152, 8, 158)(3, 153, 11, 161)(5, 155, 18, 168)(6, 156, 21, 171)(7, 157, 24, 174)(9, 159, 31, 181)(10, 160, 34, 184)(12, 162, 40, 190)(13, 163, 43, 193)(14, 164, 46, 196)(15, 165, 48, 198)(16, 166, 50, 200)(17, 167, 44, 194)(19, 169, 57, 207)(20, 170, 47, 197)(22, 172, 42, 192)(23, 173, 64, 214)(25, 175, 66, 216)(26, 176, 68, 218)(27, 177, 70, 220)(28, 178, 72, 222)(29, 179, 74, 224)(30, 180, 71, 221)(32, 182, 38, 188)(33, 183, 65, 215)(35, 185, 83, 233)(36, 186, 85, 235)(37, 187, 52, 202)(39, 189, 54, 204)(41, 191, 91, 241)(45, 195, 93, 243)(49, 199, 102, 252)(51, 201, 105, 255)(53, 203, 58, 208)(55, 205, 84, 234)(56, 206, 107, 257)(59, 209, 110, 260)(60, 210, 111, 261)(61, 211, 112, 262)(62, 212, 88, 238)(63, 213, 89, 239)(67, 217, 115, 265)(69, 219, 117, 267)(73, 223, 126, 276)(75, 225, 129, 279)(76, 226, 130, 280)(77, 227, 96, 246)(78, 228, 114, 264)(79, 229, 128, 278)(80, 230, 127, 277)(81, 231, 134, 284)(82, 232, 132, 282)(86, 236, 140, 290)(87, 237, 122, 272)(90, 240, 141, 291)(92, 242, 133, 283)(94, 244, 139, 289)(95, 245, 136, 286)(97, 247, 99, 249)(98, 248, 119, 269)(100, 250, 145, 295)(101, 251, 135, 285)(103, 253, 125, 275)(104, 254, 118, 268)(106, 256, 148, 298)(108, 258, 149, 299)(109, 259, 120, 270)(113, 263, 147, 297)(116, 266, 137, 287)(121, 271, 123, 273)(124, 274, 146, 296)(131, 281, 142, 292)(138, 288, 144, 294)(143, 293, 150, 300)(301, 302, 305)(303, 310, 312)(304, 313, 315)(306, 320, 322)(307, 323, 325)(308, 326, 328)(309, 330, 332)(311, 336, 337)(314, 345, 347)(316, 340, 324)(317, 351, 352)(318, 353, 355)(319, 356, 333)(321, 360, 362)(327, 369, 371)(329, 366, 344)(331, 376, 377)(334, 361, 380)(335, 382, 384)(338, 342, 365)(339, 387, 388)(341, 390, 358)(343, 367, 392)(346, 395, 396)(348, 363, 400)(349, 401, 364)(350, 359, 404)(354, 381, 407)(357, 386, 409)(368, 406, 416)(370, 419, 420)(372, 378, 424)(373, 425, 405)(374, 375, 428)(379, 421, 432)(383, 436, 437)(385, 408, 439)(389, 398, 441)(391, 413, 429)(393, 403, 423)(394, 444, 445)(397, 446, 418)(399, 434, 435)(402, 440, 447)(410, 448, 450)(411, 442, 426)(412, 430, 443)(414, 422, 433)(415, 431, 449)(417, 427, 438)(451, 453, 456)(452, 457, 459)(454, 464, 466)(455, 467, 469)(458, 477, 479)(460, 483, 485)(461, 476, 488)(462, 489, 491)(463, 492, 494)(465, 481, 499)(468, 504, 486)(470, 508, 509)(471, 511, 505)(472, 513, 473)(474, 503, 515)(475, 496, 517)(478, 507, 523)(480, 493, 525)(482, 528, 501)(484, 529, 531)(487, 533, 536)(490, 539, 510)(495, 514, 544)(497, 547, 548)(498, 549, 545)(500, 553, 550)(502, 520, 556)(506, 518, 558)(512, 560, 563)(516, 564, 526)(519, 555, 568)(521, 571, 572)(522, 573, 569)(524, 577, 574)(527, 579, 581)(530, 541, 583)(532, 535, 585)(534, 588, 537)(538, 578, 580)(540, 562, 592)(542, 552, 593)(543, 567, 584)(546, 589, 590)(551, 565, 587)(554, 561, 570)(557, 594, 586)(559, 599, 600)(566, 576, 597)(575, 598, 591)(582, 596, 595)
	L = (1, 301)(2, 302)(3, 303)(4, 304)(5, 305)(6, 306)(7, 307)(8, 308)(9, 309)(10, 310)(11, 311)(12, 312)(13, 313)(14, 314)(15, 315)(16, 316)(17, 317)(18, 318)(19, 319)(20, 320)(21, 321)(22, 322)(23, 323)(24, 324)(25, 325)(26, 326)(27, 327)(28, 328)(29, 329)(30, 330)(31, 331)(32, 332)(33, 333)(34, 334)(35, 335)(36, 336)(37, 337)(38, 338)(39, 339)(40, 340)(41, 341)(42, 342)(43, 343)(44, 344)(45, 345)(46, 346)(47, 347)(48, 348)(49, 349)(50, 350)(51, 351)(52, 352)(53, 353)(54, 354)(55, 355)(56, 356)(57, 357)(58, 358)(59, 359)(60, 360)(61, 361)(62, 362)(63, 363)(64, 364)(65, 365)(66, 366)(67, 367)(68, 368)(69, 369)(70, 370)(71, 371)(72, 372)(73, 373)(74, 374)(75, 375)(76, 376)(77, 377)(78, 378)(79, 379)(80, 380)(81, 381)(82, 382)(83, 383)(84, 384)(85, 385)(86, 386)(87, 387)(88, 388)(89, 389)(90, 390)(91, 391)(92, 392)(93, 393)(94, 394)(95, 395)(96, 396)(97, 397)(98, 398)(99, 399)(100, 400)(101, 401)(102, 402)(103, 403)(104, 404)(105, 405)(106, 406)(107, 407)(108, 408)(109, 409)(110, 410)(111, 411)(112, 412)(113, 413)(114, 414)(115, 415)(116, 416)(117, 417)(118, 418)(119, 419)(120, 420)(121, 421)(122, 422)(123, 423)(124, 424)(125, 425)(126, 426)(127, 427)(128, 428)(129, 429)(130, 430)(131, 431)(132, 432)(133, 433)(134, 434)(135, 435)(136, 436)(137, 437)(138, 438)(139, 439)(140, 440)(141, 441)(142, 442)(143, 443)(144, 444)(145, 445)(146, 446)(147, 447)(148, 448)(149, 449)(150, 450)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E26.1341
Graph:: simple bipartite
	v = 175 e = 300 f = 75
	degree seq :: [ 3^100, 4^75 ]

E26.1336 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = ((C5 x C5) : C3) : C2 (small group id <150, 5>)
Aut   = C2 x (((C5 x C5) : C3) : C2) (small group id <300, 26>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y2^3, Y1^2 * Y2^-1, (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 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 151, 4, 154)(2, 152, 5, 155)(3, 153, 6, 156)(7, 157, 13, 163)(8, 158, 14, 164)(9, 159, 15, 165)(10, 160, 16, 166)(11, 161, 17, 167)(12, 162, 18, 168)(19, 169, 31, 181)(20, 170, 32, 182)(21, 171, 33, 183)(22, 172, 34, 184)(23, 173, 35, 185)(24, 174, 36, 186)(25, 175, 37, 187)(26, 176, 38, 188)(27, 177, 39, 189)(28, 178, 40, 190)(29, 179, 41, 191)(30, 180, 42, 192)(43, 193, 58, 208)(44, 194, 59, 209)(45, 195, 60, 210)(46, 196, 61, 211)(47, 197, 62, 212)(48, 198, 63, 213)(49, 199, 64, 214)(50, 200, 65, 215)(51, 201, 66, 216)(52, 202, 67, 217)(53, 203, 68, 218)(54, 204, 69, 219)(55, 205, 70, 220)(56, 206, 71, 221)(57, 207, 72, 222)(73, 223, 94, 244)(74, 224, 95, 245)(75, 225, 96, 246)(76, 226, 97, 247)(77, 227, 98, 248)(78, 228, 99, 249)(79, 229, 100, 250)(80, 230, 101, 251)(81, 231, 102, 252)(82, 232, 103, 253)(83, 233, 104, 254)(84, 234, 105, 255)(85, 235, 106, 256)(86, 236, 107, 257)(87, 237, 108, 258)(88, 238, 109, 259)(89, 239, 110, 260)(90, 240, 111, 261)(91, 241, 112, 262)(92, 242, 113, 263)(93, 243, 114, 264)(115, 265, 130, 280)(116, 266, 131, 281)(117, 267, 132, 282)(118, 268, 133, 283)(119, 269, 134, 284)(120, 270, 135, 285)(121, 271, 136, 286)(122, 272, 137, 287)(123, 273, 138, 288)(124, 274, 139, 289)(125, 275, 140, 290)(126, 276, 141, 291)(127, 277, 142, 292)(128, 278, 143, 293)(129, 279, 144, 294)(145, 295, 148, 298)(146, 296, 149, 299)(147, 297, 150, 300)(301, 302, 303)(304, 307, 308)(305, 309, 310)(306, 311, 312)(313, 319, 320)(314, 321, 322)(315, 323, 324)(316, 325, 326)(317, 327, 328)(318, 329, 330)(331, 343, 344)(332, 337, 345)(333, 346, 340)(334, 347, 348)(335, 349, 350)(336, 341, 351)(338, 352, 353)(339, 354, 355)(342, 356, 357)(358, 373, 374)(359, 362, 375)(360, 376, 377)(361, 378, 379)(363, 380, 381)(364, 382, 383)(365, 367, 384)(366, 385, 386)(368, 387, 388)(369, 389, 390)(370, 371, 391)(372, 392, 393)(394, 414, 415)(395, 397, 416)(396, 417, 418)(398, 408, 419)(399, 420, 411)(400, 401, 421)(402, 422, 403)(404, 406, 423)(405, 424, 425)(407, 413, 426)(409, 427, 410)(412, 428, 429)(430, 432, 444)(431, 441, 445)(433, 437, 439)(434, 446, 435)(436, 447, 438)(440, 442, 443)(448, 449, 450)(451, 453, 452)(454, 458, 457)(455, 460, 459)(456, 462, 461)(463, 470, 469)(464, 472, 471)(465, 474, 473)(466, 476, 475)(467, 478, 477)(468, 480, 479)(481, 494, 493)(482, 495, 487)(483, 490, 496)(484, 498, 497)(485, 500, 499)(486, 501, 491)(488, 503, 502)(489, 505, 504)(492, 507, 506)(508, 524, 523)(509, 525, 512)(510, 527, 526)(511, 529, 528)(513, 531, 530)(514, 533, 532)(515, 534, 517)(516, 536, 535)(518, 538, 537)(519, 540, 539)(520, 541, 521)(522, 543, 542)(544, 565, 564)(545, 566, 547)(546, 568, 567)(548, 569, 558)(549, 561, 570)(550, 571, 551)(552, 553, 572)(554, 573, 556)(555, 575, 574)(557, 576, 563)(559, 560, 577)(562, 579, 578)(580, 594, 582)(581, 595, 591)(583, 589, 587)(584, 585, 596)(586, 588, 597)(590, 593, 592)(598, 600, 599)
	L = (1, 301)(2, 302)(3, 303)(4, 304)(5, 305)(6, 306)(7, 307)(8, 308)(9, 309)(10, 310)(11, 311)(12, 312)(13, 313)(14, 314)(15, 315)(16, 316)(17, 317)(18, 318)(19, 319)(20, 320)(21, 321)(22, 322)(23, 323)(24, 324)(25, 325)(26, 326)(27, 327)(28, 328)(29, 329)(30, 330)(31, 331)(32, 332)(33, 333)(34, 334)(35, 335)(36, 336)(37, 337)(38, 338)(39, 339)(40, 340)(41, 341)(42, 342)(43, 343)(44, 344)(45, 345)(46, 346)(47, 347)(48, 348)(49, 349)(50, 350)(51, 351)(52, 352)(53, 353)(54, 354)(55, 355)(56, 356)(57, 357)(58, 358)(59, 359)(60, 360)(61, 361)(62, 362)(63, 363)(64, 364)(65, 365)(66, 366)(67, 367)(68, 368)(69, 369)(70, 370)(71, 371)(72, 372)(73, 373)(74, 374)(75, 375)(76, 376)(77, 377)(78, 378)(79, 379)(80, 380)(81, 381)(82, 382)(83, 383)(84, 384)(85, 385)(86, 386)(87, 387)(88, 388)(89, 389)(90, 390)(91, 391)(92, 392)(93, 393)(94, 394)(95, 395)(96, 396)(97, 397)(98, 398)(99, 399)(100, 400)(101, 401)(102, 402)(103, 403)(104, 404)(105, 405)(106, 406)(107, 407)(108, 408)(109, 409)(110, 410)(111, 411)(112, 412)(113, 413)(114, 414)(115, 415)(116, 416)(117, 417)(118, 418)(119, 419)(120, 420)(121, 421)(122, 422)(123, 423)(124, 424)(125, 425)(126, 426)(127, 427)(128, 428)(129, 429)(130, 430)(131, 431)(132, 432)(133, 433)(134, 434)(135, 435)(136, 436)(137, 437)(138, 438)(139, 439)(140, 440)(141, 441)(142, 442)(143, 443)(144, 444)(145, 445)(146, 446)(147, 447)(148, 448)(149, 449)(150, 450)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E26.1342
Graph:: simple bipartite
	v = 175 e = 300 f = 75
	degree seq :: [ 3^100, 4^75 ]

E26.1337 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = ((C5 x C5) : C3) : C2 (small group id <150, 5>)
Aut   = (((C5 x C5) : C3) : C2) : C2 (small group id <300, 25>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, Y3^3, R * Y1 * R * Y2, (R * Y3)^2, (Y1 * Y3 * Y1 * Y3^-1)^3, (Y1 * Y3^-1)^10 ]
Map::
	R = (1, 151, 301, 451, 3, 153, 303, 453, 4, 154, 304, 454)(2, 152, 302, 452, 5, 155, 305, 455, 6, 156, 306, 456)(7, 157, 307, 457, 11, 161, 311, 461, 12, 162, 312, 462)(8, 158, 308, 458, 13, 163, 313, 463, 14, 164, 314, 464)(9, 159, 309, 459, 15, 165, 315, 465, 16, 166, 316, 466)(10, 160, 310, 460, 17, 167, 317, 467, 18, 168, 318, 468)(19, 169, 319, 469, 27, 177, 327, 477, 28, 178, 328, 478)(20, 170, 320, 470, 29, 179, 329, 479, 30, 180, 330, 480)(21, 171, 321, 471, 31, 181, 331, 481, 32, 182, 332, 482)(22, 172, 322, 472, 33, 183, 333, 483, 34, 184, 334, 484)(23, 173, 323, 473, 35, 185, 335, 485, 36, 186, 336, 486)(24, 174, 324, 474, 37, 187, 337, 487, 38, 188, 338, 488)(25, 175, 325, 475, 39, 189, 339, 489, 40, 190, 340, 490)(26, 176, 326, 476, 41, 191, 341, 491, 42, 192, 342, 492)(43, 193, 343, 493, 55, 205, 355, 505, 56, 206, 356, 506)(44, 194, 344, 494, 47, 197, 347, 497, 57, 207, 357, 507)(45, 195, 345, 495, 58, 208, 358, 508, 59, 209, 359, 509)(46, 196, 346, 496, 60, 210, 360, 510, 61, 211, 361, 511)(48, 198, 348, 498, 62, 212, 362, 512, 63, 213, 363, 513)(49, 199, 349, 499, 64, 214, 364, 514, 65, 215, 365, 515)(50, 200, 350, 500, 53, 203, 353, 503, 66, 216, 366, 516)(51, 201, 351, 501, 67, 217, 367, 517, 68, 218, 368, 518)(52, 202, 352, 502, 69, 219, 369, 519, 70, 220, 370, 520)(54, 204, 354, 504, 71, 221, 371, 521, 72, 222, 372, 522)(73, 223, 373, 523, 91, 241, 391, 541, 92, 242, 392, 542)(74, 224, 374, 524, 76, 226, 376, 526, 93, 243, 393, 543)(75, 225, 375, 525, 94, 244, 394, 544, 95, 245, 395, 545)(77, 227, 377, 527, 96, 246, 396, 546, 97, 247, 397, 547)(78, 228, 378, 528, 98, 248, 398, 548, 99, 249, 399, 549)(79, 229, 379, 529, 80, 230, 380, 530, 100, 250, 400, 550)(81, 231, 381, 531, 101, 251, 401, 551, 102, 252, 402, 552)(82, 232, 382, 532, 103, 253, 403, 553, 104, 254, 404, 554)(83, 233, 383, 533, 85, 235, 385, 535, 105, 255, 405, 555)(84, 234, 384, 534, 106, 256, 406, 556, 107, 257, 407, 557)(86, 236, 386, 536, 108, 258, 408, 558, 109, 259, 409, 559)(87, 237, 387, 537, 110, 260, 410, 560, 111, 261, 411, 561)(88, 238, 388, 538, 89, 239, 389, 539, 112, 262, 412, 562)(90, 240, 390, 540, 113, 263, 413, 563, 114, 264, 414, 564)(115, 265, 415, 565, 117, 267, 417, 567, 131, 281, 431, 581)(116, 266, 416, 566, 132, 282, 432, 582, 133, 283, 433, 583)(118, 268, 418, 568, 122, 272, 422, 572, 134, 284, 434, 584)(119, 269, 419, 569, 135, 285, 435, 585, 120, 270, 420, 570)(121, 271, 421, 571, 136, 286, 436, 586, 137, 287, 437, 587)(123, 273, 423, 573, 125, 275, 425, 575, 138, 288, 438, 588)(124, 274, 424, 574, 139, 289, 439, 589, 140, 290, 440, 590)(126, 276, 426, 576, 130, 280, 430, 580, 141, 291, 441, 591)(127, 277, 427, 577, 142, 292, 442, 592, 128, 278, 428, 578)(129, 279, 429, 579, 143, 293, 443, 593, 144, 294, 444, 594)(145, 295, 445, 595, 146, 296, 446, 596, 147, 297, 447, 597)(148, 298, 448, 598, 149, 299, 449, 599, 150, 300, 450, 600)
	L = (1, 152)(2, 151)(3, 157)(4, 158)(5, 159)(6, 160)(7, 153)(8, 154)(9, 155)(10, 156)(11, 169)(12, 170)(13, 171)(14, 172)(15, 173)(16, 174)(17, 175)(18, 176)(19, 161)(20, 162)(21, 163)(22, 164)(23, 165)(24, 166)(25, 167)(26, 168)(27, 193)(28, 194)(29, 187)(30, 195)(31, 196)(32, 190)(33, 197)(34, 198)(35, 199)(36, 200)(37, 179)(38, 201)(39, 202)(40, 182)(41, 203)(42, 204)(43, 177)(44, 178)(45, 180)(46, 181)(47, 183)(48, 184)(49, 185)(50, 186)(51, 188)(52, 189)(53, 191)(54, 192)(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, 205)(74, 206)(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, 264)(92, 265)(93, 266)(94, 267)(95, 268)(96, 258)(97, 269)(98, 270)(99, 261)(100, 271)(101, 272)(102, 253)(103, 252)(104, 273)(105, 274)(106, 275)(107, 276)(108, 246)(109, 277)(110, 278)(111, 249)(112, 279)(113, 280)(114, 241)(115, 242)(116, 243)(117, 244)(118, 245)(119, 247)(120, 248)(121, 250)(122, 251)(123, 254)(124, 255)(125, 256)(126, 257)(127, 259)(128, 260)(129, 262)(130, 263)(131, 294)(132, 291)(133, 295)(134, 289)(135, 296)(136, 297)(137, 288)(138, 287)(139, 284)(140, 298)(141, 282)(142, 299)(143, 300)(144, 281)(145, 283)(146, 285)(147, 286)(148, 290)(149, 292)(150, 293)(301, 452)(302, 451)(303, 457)(304, 458)(305, 459)(306, 460)(307, 453)(308, 454)(309, 455)(310, 456)(311, 469)(312, 470)(313, 471)(314, 472)(315, 473)(316, 474)(317, 475)(318, 476)(319, 461)(320, 462)(321, 463)(322, 464)(323, 465)(324, 466)(325, 467)(326, 468)(327, 493)(328, 494)(329, 487)(330, 495)(331, 496)(332, 490)(333, 497)(334, 498)(335, 499)(336, 500)(337, 479)(338, 501)(339, 502)(340, 482)(341, 503)(342, 504)(343, 477)(344, 478)(345, 480)(346, 481)(347, 483)(348, 484)(349, 485)(350, 486)(351, 488)(352, 489)(353, 491)(354, 492)(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, 505)(374, 506)(375, 507)(376, 508)(377, 509)(378, 510)(379, 511)(380, 512)(381, 513)(382, 514)(383, 515)(384, 516)(385, 517)(386, 518)(387, 519)(388, 520)(389, 521)(390, 522)(391, 564)(392, 565)(393, 566)(394, 567)(395, 568)(396, 558)(397, 569)(398, 570)(399, 561)(400, 571)(401, 572)(402, 553)(403, 552)(404, 573)(405, 574)(406, 575)(407, 576)(408, 546)(409, 577)(410, 578)(411, 549)(412, 579)(413, 580)(414, 541)(415, 542)(416, 543)(417, 544)(418, 545)(419, 547)(420, 548)(421, 550)(422, 551)(423, 554)(424, 555)(425, 556)(426, 557)(427, 559)(428, 560)(429, 562)(430, 563)(431, 594)(432, 591)(433, 595)(434, 589)(435, 596)(436, 597)(437, 588)(438, 587)(439, 584)(440, 598)(441, 582)(442, 599)(443, 600)(444, 581)(445, 583)(446, 585)(447, 586)(448, 590)(449, 592)(450, 593)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E26.1331
Transitivity :: VT+
Graph:: bipartite
	v = 50 e = 300 f = 200
	degree seq :: [ 12^50 ]

E26.1338 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = ((C5 x C5) : C3) : C2 (small group id <150, 6>)
Aut   = (((C5 x C5) : C3) : C2) : C2 (small group id <300, 25>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y2, Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y3^-1, (Y1 * Y3^-1 * Y2)^3, Y2 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1, (Y2 * Y1 * Y3)^3, (Y2 * Y1)^5, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y2 * Y3 * Y1 ]
Map::
	R = (1, 151, 301, 451, 4, 154, 304, 454, 5, 155, 305, 455)(2, 152, 302, 452, 7, 157, 307, 457, 8, 158, 308, 458)(3, 153, 303, 453, 10, 160, 310, 460, 11, 161, 311, 461)(6, 156, 306, 456, 17, 167, 317, 467, 18, 168, 318, 468)(9, 159, 309, 459, 24, 174, 324, 474, 25, 175, 325, 475)(12, 162, 312, 462, 31, 181, 331, 481, 32, 182, 332, 482)(13, 163, 313, 463, 34, 184, 334, 484, 35, 185, 335, 485)(14, 164, 314, 464, 37, 187, 337, 487, 38, 188, 338, 488)(15, 165, 315, 465, 40, 190, 340, 490, 41, 191, 341, 491)(16, 166, 316, 466, 43, 193, 343, 493, 44, 194, 344, 494)(19, 169, 319, 469, 50, 200, 350, 500, 51, 201, 351, 501)(20, 170, 320, 470, 53, 203, 353, 503, 54, 204, 354, 504)(21, 171, 321, 471, 56, 206, 356, 506, 57, 207, 357, 507)(22, 172, 322, 472, 59, 209, 359, 509, 60, 210, 360, 510)(23, 173, 323, 473, 62, 212, 362, 512, 63, 213, 363, 513)(26, 176, 326, 476, 69, 219, 369, 519, 70, 220, 370, 520)(27, 177, 327, 477, 72, 222, 372, 522, 73, 223, 373, 523)(28, 178, 328, 478, 75, 225, 375, 525, 76, 226, 376, 526)(29, 179, 329, 479, 78, 228, 378, 528, 79, 229, 379, 529)(30, 180, 330, 480, 81, 231, 381, 531, 82, 232, 382, 532)(33, 183, 333, 483, 86, 236, 386, 536, 87, 237, 387, 537)(36, 186, 336, 486, 91, 241, 391, 541, 92, 242, 392, 542)(39, 189, 339, 489, 96, 246, 396, 546, 97, 247, 397, 547)(42, 192, 342, 492, 94, 244, 394, 544, 84, 234, 384, 534)(45, 195, 345, 495, 103, 253, 403, 553, 104, 254, 404, 554)(46, 196, 346, 496, 66, 216, 366, 516, 106, 256, 406, 556)(47, 197, 347, 497, 107, 257, 407, 557, 108, 258, 408, 558)(48, 198, 348, 498, 110, 260, 410, 560, 64, 214, 364, 514)(49, 199, 349, 499, 111, 261, 411, 561, 112, 262, 412, 562)(52, 202, 352, 502, 74, 224, 374, 524, 115, 265, 415, 565)(55, 205, 355, 505, 117, 267, 417, 567, 118, 268, 418, 568)(58, 208, 358, 508, 121, 271, 421, 571, 68, 218, 368, 518)(61, 211, 361, 511, 98, 248, 398, 548, 88, 238, 388, 538)(65, 215, 365, 515, 126, 276, 426, 576, 127, 277, 427, 577)(67, 217, 367, 517, 129, 279, 429, 579, 130, 280, 430, 580)(71, 221, 371, 521, 132, 282, 432, 582, 133, 283, 433, 583)(77, 227, 377, 527, 136, 286, 436, 586, 137, 287, 437, 587)(80, 230, 380, 530, 113, 263, 413, 563, 139, 289, 439, 589)(83, 233, 383, 533, 140, 290, 440, 590, 99, 249, 399, 549)(85, 235, 385, 535, 134, 284, 434, 584, 141, 291, 441, 591)(89, 239, 389, 539, 142, 292, 442, 592, 93, 243, 393, 543)(90, 240, 390, 540, 143, 293, 443, 593, 119, 269, 419, 569)(95, 245, 395, 545, 144, 294, 444, 594, 138, 288, 438, 588)(100, 250, 400, 550, 122, 272, 422, 572, 116, 266, 416, 566)(101, 251, 401, 551, 124, 274, 424, 574, 145, 295, 445, 595)(102, 252, 402, 552, 146, 296, 446, 596, 123, 273, 423, 573)(105, 255, 405, 555, 135, 285, 435, 585, 147, 297, 447, 597)(109, 259, 409, 559, 148, 298, 448, 598, 131, 281, 431, 581)(114, 264, 414, 564, 128, 278, 428, 578, 149, 299, 449, 599)(120, 270, 420, 570, 150, 300, 450, 600, 125, 275, 425, 575)
	L = (1, 152)(2, 151)(3, 159)(4, 162)(5, 164)(6, 166)(7, 169)(8, 171)(9, 153)(10, 176)(11, 178)(12, 154)(13, 183)(14, 155)(15, 189)(16, 156)(17, 195)(18, 197)(19, 157)(20, 202)(21, 158)(22, 208)(23, 211)(24, 214)(25, 216)(26, 160)(27, 221)(28, 161)(29, 227)(30, 230)(31, 233)(32, 223)(33, 163)(34, 238)(35, 220)(36, 240)(37, 228)(38, 243)(39, 165)(40, 225)(41, 248)(42, 250)(43, 229)(44, 222)(45, 167)(46, 255)(47, 168)(48, 259)(49, 249)(50, 263)(51, 256)(52, 170)(53, 266)(54, 254)(55, 239)(56, 260)(57, 269)(58, 172)(59, 257)(60, 272)(61, 173)(62, 273)(63, 274)(64, 174)(65, 242)(66, 175)(67, 231)(68, 281)(69, 245)(70, 185)(71, 177)(72, 194)(73, 182)(74, 285)(75, 190)(76, 235)(77, 179)(78, 187)(79, 193)(80, 180)(81, 217)(82, 265)(83, 181)(84, 276)(85, 226)(86, 282)(87, 262)(88, 184)(89, 205)(90, 186)(91, 271)(92, 215)(93, 188)(94, 280)(95, 219)(96, 267)(97, 287)(98, 191)(99, 199)(100, 192)(101, 268)(102, 261)(103, 270)(104, 204)(105, 196)(106, 201)(107, 209)(108, 264)(109, 198)(110, 206)(111, 252)(112, 237)(113, 200)(114, 258)(115, 232)(116, 203)(117, 246)(118, 251)(119, 207)(120, 253)(121, 241)(122, 210)(123, 212)(124, 213)(125, 288)(126, 234)(127, 296)(128, 284)(129, 295)(130, 244)(131, 218)(132, 236)(133, 300)(134, 278)(135, 224)(136, 299)(137, 247)(138, 275)(139, 292)(140, 293)(141, 298)(142, 289)(143, 290)(144, 297)(145, 279)(146, 277)(147, 294)(148, 291)(149, 286)(150, 283)(301, 453)(302, 456)(303, 451)(304, 463)(305, 465)(306, 452)(307, 470)(308, 472)(309, 473)(310, 477)(311, 479)(312, 480)(313, 454)(314, 486)(315, 455)(316, 492)(317, 496)(318, 498)(319, 499)(320, 457)(321, 505)(322, 458)(323, 459)(324, 515)(325, 517)(326, 518)(327, 460)(328, 524)(329, 461)(330, 462)(331, 534)(332, 504)(333, 535)(334, 539)(335, 501)(336, 464)(337, 509)(338, 544)(339, 545)(340, 506)(341, 549)(342, 466)(343, 551)(344, 552)(345, 547)(346, 467)(347, 536)(348, 468)(349, 469)(350, 513)(351, 485)(352, 564)(353, 540)(354, 482)(355, 471)(356, 490)(357, 512)(358, 570)(359, 487)(360, 530)(361, 550)(362, 507)(363, 500)(364, 575)(365, 474)(366, 578)(367, 475)(368, 476)(369, 566)(370, 577)(371, 543)(372, 584)(373, 560)(374, 478)(375, 579)(376, 572)(377, 533)(378, 556)(379, 588)(380, 510)(381, 561)(382, 583)(383, 527)(384, 481)(385, 483)(386, 497)(387, 571)(388, 553)(389, 484)(390, 503)(391, 586)(392, 568)(393, 521)(394, 488)(395, 489)(396, 565)(397, 495)(398, 558)(399, 491)(400, 511)(401, 493)(402, 494)(403, 538)(404, 595)(405, 569)(406, 528)(407, 596)(408, 548)(409, 563)(410, 523)(411, 531)(412, 597)(413, 559)(414, 502)(415, 546)(416, 519)(417, 598)(418, 542)(419, 555)(420, 508)(421, 537)(422, 526)(423, 587)(424, 582)(425, 514)(426, 585)(427, 520)(428, 516)(429, 525)(430, 581)(431, 580)(432, 574)(433, 532)(434, 522)(435, 576)(436, 541)(437, 573)(438, 529)(439, 599)(440, 591)(441, 590)(442, 594)(443, 600)(444, 592)(445, 554)(446, 557)(447, 562)(448, 567)(449, 589)(450, 593)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E26.1332
Transitivity :: VT+
Graph:: bipartite
	v = 50 e = 300 f = 200
	degree seq :: [ 12^50 ]

E26.1339 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = ((C5 x C5) : C3) : C2 (small group id <150, 6>)
Aut   = (((C5 x C5) : C3) : C2) : C2 (small group id <300, 25>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y3^-1 * Y2 * Y3, Y3^-1 * Y1 * Y3 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-1, (Y2 * Y1 * Y3)^3, (Y2 * Y1)^5 ]
Map::
	R = (1, 151, 301, 451, 4, 154, 304, 454, 5, 155, 305, 455)(2, 152, 302, 452, 7, 157, 307, 457, 8, 158, 308, 458)(3, 153, 303, 453, 10, 160, 310, 460, 11, 161, 311, 461)(6, 156, 306, 456, 15, 165, 315, 465, 16, 166, 316, 466)(9, 159, 309, 459, 20, 170, 320, 470, 21, 171, 321, 471)(12, 162, 312, 462, 13, 163, 313, 463, 25, 175, 325, 475)(14, 164, 314, 464, 28, 178, 328, 478, 29, 179, 329, 479)(17, 167, 317, 467, 18, 168, 318, 468, 33, 183, 333, 483)(19, 169, 319, 469, 36, 186, 336, 486, 37, 187, 337, 487)(22, 172, 322, 472, 23, 173, 323, 473, 41, 191, 341, 491)(24, 174, 324, 474, 44, 194, 344, 494, 45, 195, 345, 495)(26, 176, 326, 476, 46, 196, 346, 496, 48, 198, 348, 498)(27, 177, 327, 477, 50, 200, 350, 500, 51, 201, 351, 501)(30, 180, 330, 480, 31, 181, 331, 481, 55, 205, 355, 505)(32, 182, 332, 482, 42, 192, 342, 492, 57, 207, 357, 507)(34, 184, 334, 484, 58, 208, 358, 508, 60, 210, 360, 510)(35, 185, 335, 485, 61, 211, 361, 511, 62, 212, 362, 512)(38, 188, 338, 488, 39, 189, 339, 489, 65, 215, 365, 515)(40, 190, 340, 490, 68, 218, 368, 518, 69, 219, 369, 519)(43, 193, 343, 493, 72, 222, 372, 522, 73, 223, 373, 523)(47, 197, 347, 497, 75, 225, 375, 525, 76, 226, 376, 526)(49, 199, 349, 499, 77, 227, 377, 527, 78, 228, 378, 528)(52, 202, 352, 502, 53, 203, 353, 503, 81, 231, 381, 531)(54, 204, 354, 504, 84, 234, 384, 534, 85, 235, 385, 535)(56, 206, 356, 506, 70, 220, 370, 520, 87, 237, 387, 537)(59, 209, 359, 509, 89, 239, 389, 539, 90, 240, 390, 540)(63, 213, 363, 513, 64, 214, 364, 514, 94, 244, 394, 544)(66, 216, 366, 516, 95, 245, 395, 545, 97, 247, 397, 547)(67, 217, 367, 517, 99, 249, 399, 549, 100, 250, 400, 550)(71, 221, 371, 521, 102, 252, 402, 552, 103, 253, 403, 553)(74, 224, 374, 524, 106, 256, 406, 556, 107, 257, 407, 557)(79, 229, 379, 529, 80, 230, 380, 530, 112, 262, 412, 562)(82, 232, 382, 532, 113, 263, 413, 563, 115, 265, 415, 565)(83, 233, 383, 533, 117, 267, 417, 567, 118, 268, 418, 568)(86, 236, 386, 536, 119, 269, 419, 569, 120, 270, 420, 570)(88, 238, 388, 538, 122, 272, 422, 572, 123, 273, 423, 573)(91, 241, 391, 541, 92, 242, 392, 542, 125, 275, 425, 575)(93, 243, 393, 543, 128, 278, 428, 578, 129, 279, 429, 579)(96, 246, 396, 546, 131, 281, 431, 581, 132, 282, 432, 582)(98, 248, 398, 548, 133, 283, 433, 583, 134, 284, 434, 584)(101, 251, 401, 551, 121, 271, 421, 571, 124, 274, 424, 574)(104, 254, 404, 554, 105, 255, 405, 555, 108, 258, 408, 558)(109, 259, 409, 559, 110, 260, 410, 560, 137, 287, 437, 587)(111, 261, 411, 561, 126, 276, 426, 576, 139, 289, 439, 589)(114, 264, 414, 564, 140, 290, 440, 590, 141, 291, 441, 591)(116, 266, 416, 566, 142, 292, 442, 592, 143, 293, 443, 593)(127, 277, 427, 577, 146, 296, 446, 596, 147, 297, 447, 597)(130, 280, 430, 580, 148, 298, 448, 598, 144, 294, 444, 594)(135, 285, 435, 585, 149, 299, 449, 599, 136, 286, 436, 586)(138, 288, 438, 588, 145, 295, 445, 595, 150, 300, 450, 600)
	L = (1, 152)(2, 151)(3, 159)(4, 160)(5, 163)(6, 164)(7, 165)(8, 168)(9, 153)(10, 154)(11, 173)(12, 174)(13, 155)(14, 156)(15, 157)(16, 181)(17, 182)(18, 158)(19, 185)(20, 186)(21, 189)(22, 190)(23, 161)(24, 162)(25, 196)(26, 197)(27, 199)(28, 200)(29, 203)(30, 204)(31, 166)(32, 167)(33, 208)(34, 209)(35, 169)(36, 170)(37, 214)(38, 198)(39, 171)(40, 172)(41, 207)(42, 220)(43, 221)(44, 222)(45, 205)(46, 175)(47, 176)(48, 188)(49, 177)(50, 178)(51, 230)(52, 210)(53, 179)(54, 180)(55, 195)(56, 236)(57, 191)(58, 183)(59, 184)(60, 202)(61, 227)(62, 242)(63, 243)(64, 187)(65, 245)(66, 246)(67, 248)(68, 249)(69, 244)(70, 192)(71, 193)(72, 194)(73, 255)(74, 238)(75, 256)(76, 258)(77, 211)(78, 260)(79, 261)(80, 201)(81, 263)(82, 264)(83, 266)(84, 267)(85, 262)(86, 206)(87, 271)(88, 224)(89, 272)(90, 274)(91, 247)(92, 212)(93, 213)(94, 219)(95, 215)(96, 216)(97, 241)(98, 217)(99, 218)(100, 270)(101, 280)(102, 283)(103, 268)(104, 285)(105, 223)(106, 225)(107, 282)(108, 226)(109, 265)(110, 228)(111, 229)(112, 235)(113, 231)(114, 232)(115, 259)(116, 233)(117, 234)(118, 253)(119, 292)(120, 250)(121, 237)(122, 239)(123, 291)(124, 240)(125, 289)(126, 295)(127, 286)(128, 296)(129, 287)(130, 251)(131, 298)(132, 257)(133, 252)(134, 297)(135, 254)(136, 277)(137, 279)(138, 294)(139, 275)(140, 299)(141, 273)(142, 269)(143, 300)(144, 288)(145, 276)(146, 278)(147, 284)(148, 281)(149, 290)(150, 293)(301, 453)(302, 456)(303, 451)(304, 462)(305, 458)(306, 452)(307, 467)(308, 455)(309, 469)(310, 472)(311, 471)(312, 454)(313, 476)(314, 477)(315, 480)(316, 479)(317, 457)(318, 484)(319, 459)(320, 488)(321, 461)(322, 460)(323, 492)(324, 493)(325, 495)(326, 463)(327, 464)(328, 502)(329, 466)(330, 465)(331, 494)(332, 506)(333, 507)(334, 468)(335, 499)(336, 513)(337, 512)(338, 470)(339, 516)(340, 517)(341, 519)(342, 473)(343, 474)(344, 481)(345, 475)(346, 515)(347, 524)(348, 526)(349, 485)(350, 529)(351, 528)(352, 478)(353, 532)(354, 533)(355, 535)(356, 482)(357, 483)(358, 531)(359, 538)(360, 540)(361, 541)(362, 487)(363, 486)(364, 518)(365, 496)(366, 489)(367, 490)(368, 514)(369, 491)(370, 551)(371, 548)(372, 554)(373, 553)(374, 497)(375, 555)(376, 498)(377, 559)(378, 501)(379, 500)(380, 534)(381, 508)(382, 503)(383, 504)(384, 530)(385, 505)(386, 566)(387, 570)(388, 509)(389, 571)(390, 510)(391, 511)(392, 576)(393, 577)(394, 579)(395, 575)(396, 580)(397, 582)(398, 521)(399, 569)(400, 584)(401, 520)(402, 567)(403, 523)(404, 522)(405, 525)(406, 581)(407, 573)(408, 586)(409, 527)(410, 578)(411, 588)(412, 589)(413, 587)(414, 585)(415, 591)(416, 536)(417, 552)(418, 593)(419, 549)(420, 537)(421, 539)(422, 590)(423, 557)(424, 594)(425, 545)(426, 542)(427, 543)(428, 560)(429, 544)(430, 546)(431, 556)(432, 547)(433, 596)(434, 550)(435, 564)(436, 558)(437, 563)(438, 561)(439, 562)(440, 572)(441, 565)(442, 595)(443, 568)(444, 574)(445, 592)(446, 583)(447, 599)(448, 600)(449, 597)(450, 598)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E26.1333
Transitivity :: VT+
Graph:: bipartite
	v = 50 e = 300 f = 200
	degree seq :: [ 12^50 ]

E26.1340 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = ((C5 x C5) : C3) : C2 (small group id <150, 5>)
Aut   = C2 x (((C5 x C5) : C3) : C2) (small group id <300, 26>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2, Y2 * Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3^-1, Y1 * Y2 * Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y3, (Y2 * Y1 * Y3)^3, (Y1 * Y3^-1 * Y2)^3, Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y2, Y3^-1 * Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y3 * Y1, (Y2 * Y1)^5 ]
Map::
	R = (1, 151, 301, 451, 4, 154, 304, 454, 5, 155, 305, 455)(2, 152, 302, 452, 7, 157, 307, 457, 8, 158, 308, 458)(3, 153, 303, 453, 10, 160, 310, 460, 11, 161, 311, 461)(6, 156, 306, 456, 17, 167, 317, 467, 18, 168, 318, 468)(9, 159, 309, 459, 24, 174, 324, 474, 25, 175, 325, 475)(12, 162, 312, 462, 31, 181, 331, 481, 32, 182, 332, 482)(13, 163, 313, 463, 34, 184, 334, 484, 35, 185, 335, 485)(14, 164, 314, 464, 37, 187, 337, 487, 38, 188, 338, 488)(15, 165, 315, 465, 40, 190, 340, 490, 41, 191, 341, 491)(16, 166, 316, 466, 43, 193, 343, 493, 44, 194, 344, 494)(19, 169, 319, 469, 50, 200, 350, 500, 51, 201, 351, 501)(20, 170, 320, 470, 53, 203, 353, 503, 54, 204, 354, 504)(21, 171, 321, 471, 56, 206, 356, 506, 57, 207, 357, 507)(22, 172, 322, 472, 59, 209, 359, 509, 60, 210, 360, 510)(23, 173, 323, 473, 62, 212, 362, 512, 63, 213, 363, 513)(26, 176, 326, 476, 69, 219, 369, 519, 70, 220, 370, 520)(27, 177, 327, 477, 72, 222, 372, 522, 73, 223, 373, 523)(28, 178, 328, 478, 75, 225, 375, 525, 76, 226, 376, 526)(29, 179, 329, 479, 78, 228, 378, 528, 79, 229, 379, 529)(30, 180, 330, 480, 81, 231, 381, 531, 82, 232, 382, 532)(33, 183, 333, 483, 86, 236, 386, 536, 87, 237, 387, 537)(36, 186, 336, 486, 91, 241, 391, 541, 92, 242, 392, 542)(39, 189, 339, 489, 96, 246, 396, 546, 97, 247, 397, 547)(42, 192, 342, 492, 94, 244, 394, 544, 84, 234, 384, 534)(45, 195, 345, 495, 103, 253, 403, 553, 104, 254, 404, 554)(46, 196, 346, 496, 106, 256, 406, 556, 66, 216, 366, 516)(47, 197, 347, 497, 107, 257, 407, 557, 108, 258, 408, 558)(48, 198, 348, 498, 64, 214, 364, 514, 110, 260, 410, 560)(49, 199, 349, 499, 111, 261, 411, 561, 112, 262, 412, 562)(52, 202, 352, 502, 74, 224, 374, 524, 115, 265, 415, 565)(55, 205, 355, 505, 117, 267, 417, 567, 118, 268, 418, 568)(58, 208, 358, 508, 121, 271, 421, 571, 68, 218, 368, 518)(61, 211, 361, 511, 98, 248, 398, 548, 88, 238, 388, 538)(65, 215, 365, 515, 126, 276, 426, 576, 127, 277, 427, 577)(67, 217, 367, 517, 129, 279, 429, 579, 130, 280, 430, 580)(71, 221, 371, 521, 132, 282, 432, 582, 133, 283, 433, 583)(77, 227, 377, 527, 136, 286, 436, 586, 137, 287, 437, 587)(80, 230, 380, 530, 139, 289, 439, 589, 119, 269, 419, 569)(83, 233, 383, 533, 140, 290, 440, 590, 99, 249, 399, 549)(85, 235, 385, 535, 141, 291, 441, 591, 138, 288, 438, 588)(89, 239, 389, 539, 142, 292, 442, 592, 93, 243, 393, 543)(90, 240, 390, 540, 113, 263, 413, 563, 143, 293, 443, 593)(95, 245, 395, 545, 134, 284, 434, 584, 144, 294, 444, 594)(100, 250, 400, 550, 122, 272, 422, 572, 116, 266, 416, 566)(101, 251, 401, 551, 145, 295, 445, 595, 124, 274, 424, 574)(102, 252, 402, 552, 123, 273, 423, 573, 146, 296, 446, 596)(105, 255, 405, 555, 131, 281, 431, 581, 147, 297, 447, 597)(109, 259, 409, 559, 148, 298, 448, 598, 135, 285, 435, 585)(114, 264, 414, 564, 149, 299, 449, 599, 125, 275, 425, 575)(120, 270, 420, 570, 128, 278, 428, 578, 150, 300, 450, 600)
	L = (1, 152)(2, 151)(3, 159)(4, 162)(5, 164)(6, 166)(7, 169)(8, 171)(9, 153)(10, 176)(11, 178)(12, 154)(13, 183)(14, 155)(15, 189)(16, 156)(17, 195)(18, 197)(19, 157)(20, 202)(21, 158)(22, 208)(23, 211)(24, 214)(25, 216)(26, 160)(27, 221)(28, 161)(29, 227)(30, 230)(31, 229)(32, 233)(33, 163)(34, 226)(35, 238)(36, 240)(37, 243)(38, 222)(39, 165)(40, 248)(41, 219)(42, 250)(43, 228)(44, 223)(45, 167)(46, 255)(47, 168)(48, 259)(49, 239)(50, 260)(51, 263)(52, 170)(53, 258)(54, 266)(55, 249)(56, 269)(57, 256)(58, 172)(59, 272)(60, 253)(61, 173)(62, 273)(63, 274)(64, 174)(65, 242)(66, 175)(67, 231)(68, 281)(69, 191)(70, 235)(71, 177)(72, 188)(73, 194)(74, 285)(75, 245)(76, 184)(77, 179)(78, 193)(79, 181)(80, 180)(81, 217)(82, 271)(83, 182)(84, 277)(85, 220)(86, 287)(87, 267)(88, 185)(89, 199)(90, 186)(91, 265)(92, 215)(93, 187)(94, 279)(95, 225)(96, 262)(97, 282)(98, 190)(99, 205)(100, 192)(101, 268)(102, 261)(103, 210)(104, 264)(105, 196)(106, 207)(107, 270)(108, 203)(109, 198)(110, 200)(111, 252)(112, 246)(113, 201)(114, 254)(115, 241)(116, 204)(117, 237)(118, 251)(119, 206)(120, 257)(121, 232)(122, 209)(123, 212)(124, 213)(125, 284)(126, 295)(127, 234)(128, 288)(129, 244)(130, 296)(131, 218)(132, 247)(133, 300)(134, 275)(135, 224)(136, 299)(137, 236)(138, 278)(139, 292)(140, 293)(141, 298)(142, 289)(143, 290)(144, 297)(145, 276)(146, 280)(147, 294)(148, 291)(149, 286)(150, 283)(301, 453)(302, 456)(303, 451)(304, 463)(305, 465)(306, 452)(307, 470)(308, 472)(309, 473)(310, 477)(311, 479)(312, 480)(313, 454)(314, 486)(315, 455)(316, 492)(317, 496)(318, 498)(319, 499)(320, 457)(321, 505)(322, 458)(323, 459)(324, 515)(325, 517)(326, 518)(327, 460)(328, 524)(329, 461)(330, 462)(331, 510)(332, 534)(333, 535)(334, 507)(335, 539)(336, 464)(337, 544)(338, 503)(339, 545)(340, 549)(341, 500)(342, 466)(343, 551)(344, 552)(345, 547)(346, 467)(347, 536)(348, 468)(349, 469)(350, 491)(351, 513)(352, 564)(353, 488)(354, 530)(355, 471)(356, 512)(357, 484)(358, 570)(359, 540)(360, 481)(361, 550)(362, 506)(363, 501)(364, 575)(365, 474)(366, 578)(367, 475)(368, 476)(369, 580)(370, 566)(371, 533)(372, 556)(373, 584)(374, 478)(375, 572)(376, 576)(377, 543)(378, 588)(379, 560)(380, 504)(381, 568)(382, 586)(383, 521)(384, 482)(385, 483)(386, 497)(387, 565)(388, 554)(389, 485)(390, 509)(391, 583)(392, 561)(393, 527)(394, 487)(395, 489)(396, 571)(397, 495)(398, 557)(399, 490)(400, 511)(401, 493)(402, 494)(403, 596)(404, 538)(405, 563)(406, 522)(407, 548)(408, 595)(409, 569)(410, 529)(411, 542)(412, 598)(413, 555)(414, 502)(415, 537)(416, 520)(417, 597)(418, 531)(419, 559)(420, 508)(421, 546)(422, 525)(423, 587)(424, 582)(425, 514)(426, 526)(427, 581)(428, 516)(429, 585)(430, 519)(431, 577)(432, 574)(433, 541)(434, 523)(435, 579)(436, 532)(437, 573)(438, 528)(439, 600)(440, 591)(441, 590)(442, 594)(443, 599)(444, 592)(445, 558)(446, 553)(447, 567)(448, 562)(449, 593)(450, 589)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E26.1334
Transitivity :: VT+
Graph:: bipartite
	v = 50 e = 300 f = 200
	degree seq :: [ 12^50 ]

E26.1341 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = ((C5 x C5) : C3) : C2 (small group id <150, 5>)
Aut   = (((C5 x C5) : C3) : C2) : C2 (small group id <300, 25>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, Y2^3, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y2^-1 * Y1^-1)^2, Y1 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, (Y1^-1 * Y2^-1)^3, Y2 * Y1^-1 * Y2 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y2 * Y1^-1, Y3 * Y2 * Y1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1 * Y3 * Y1^-1, Y3 * Y2 * Y1 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y1^-1 * Y2^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 151, 301, 451, 4, 154, 304, 454)(2, 152, 302, 452, 8, 158, 308, 458)(3, 153, 303, 453, 11, 161, 311, 461)(5, 155, 305, 455, 18, 168, 318, 468)(6, 156, 306, 456, 21, 171, 321, 471)(7, 157, 307, 457, 24, 174, 324, 474)(9, 159, 309, 459, 31, 181, 331, 481)(10, 160, 310, 460, 34, 184, 334, 484)(12, 162, 312, 462, 40, 190, 340, 490)(13, 163, 313, 463, 43, 193, 343, 493)(14, 164, 314, 464, 46, 196, 346, 496)(15, 165, 315, 465, 48, 198, 348, 498)(16, 166, 316, 466, 50, 200, 350, 500)(17, 167, 317, 467, 44, 194, 344, 494)(19, 169, 319, 469, 57, 207, 357, 507)(20, 170, 320, 470, 47, 197, 347, 497)(22, 172, 322, 472, 42, 192, 342, 492)(23, 173, 323, 473, 64, 214, 364, 514)(25, 175, 325, 475, 66, 216, 366, 516)(26, 176, 326, 476, 68, 218, 368, 518)(27, 177, 327, 477, 70, 220, 370, 520)(28, 178, 328, 478, 72, 222, 372, 522)(29, 179, 329, 479, 74, 224, 374, 524)(30, 180, 330, 480, 71, 221, 371, 521)(32, 182, 332, 482, 38, 188, 338, 488)(33, 183, 333, 483, 65, 215, 365, 515)(35, 185, 335, 485, 83, 233, 383, 533)(36, 186, 336, 486, 85, 235, 385, 535)(37, 187, 337, 487, 52, 202, 352, 502)(39, 189, 339, 489, 54, 204, 354, 504)(41, 191, 341, 491, 91, 241, 391, 541)(45, 195, 345, 495, 93, 243, 393, 543)(49, 199, 349, 499, 102, 252, 402, 552)(51, 201, 351, 501, 105, 255, 405, 555)(53, 203, 353, 503, 58, 208, 358, 508)(55, 205, 355, 505, 84, 234, 384, 534)(56, 206, 356, 506, 107, 257, 407, 557)(59, 209, 359, 509, 110, 260, 410, 560)(60, 210, 360, 510, 111, 261, 411, 561)(61, 211, 361, 511, 112, 262, 412, 562)(62, 212, 362, 512, 88, 238, 388, 538)(63, 213, 363, 513, 89, 239, 389, 539)(67, 217, 367, 517, 115, 265, 415, 565)(69, 219, 369, 519, 117, 267, 417, 567)(73, 223, 373, 523, 126, 276, 426, 576)(75, 225, 375, 525, 129, 279, 429, 579)(76, 226, 376, 526, 130, 280, 430, 580)(77, 227, 377, 527, 96, 246, 396, 546)(78, 228, 378, 528, 114, 264, 414, 564)(79, 229, 379, 529, 128, 278, 428, 578)(80, 230, 380, 530, 127, 277, 427, 577)(81, 231, 381, 531, 134, 284, 434, 584)(82, 232, 382, 532, 132, 282, 432, 582)(86, 236, 386, 536, 140, 290, 440, 590)(87, 237, 387, 537, 122, 272, 422, 572)(90, 240, 390, 540, 141, 291, 441, 591)(92, 242, 392, 542, 133, 283, 433, 583)(94, 244, 394, 544, 139, 289, 439, 589)(95, 245, 395, 545, 136, 286, 436, 586)(97, 247, 397, 547, 99, 249, 399, 549)(98, 248, 398, 548, 119, 269, 419, 569)(100, 250, 400, 550, 145, 295, 445, 595)(101, 251, 401, 551, 135, 285, 435, 585)(103, 253, 403, 553, 125, 275, 425, 575)(104, 254, 404, 554, 118, 268, 418, 568)(106, 256, 406, 556, 148, 298, 448, 598)(108, 258, 408, 558, 149, 299, 449, 599)(109, 259, 409, 559, 120, 270, 420, 570)(113, 263, 413, 563, 147, 297, 447, 597)(116, 266, 416, 566, 137, 287, 437, 587)(121, 271, 421, 571, 123, 273, 423, 573)(124, 274, 424, 574, 146, 296, 446, 596)(131, 281, 431, 581, 142, 292, 442, 592)(138, 288, 438, 588, 144, 294, 444, 594)(143, 293, 443, 593, 150, 300, 450, 600)
	L = (1, 152)(2, 155)(3, 160)(4, 163)(5, 151)(6, 170)(7, 173)(8, 176)(9, 180)(10, 162)(11, 186)(12, 153)(13, 165)(14, 195)(15, 154)(16, 190)(17, 201)(18, 203)(19, 206)(20, 172)(21, 210)(22, 156)(23, 175)(24, 166)(25, 157)(26, 178)(27, 219)(28, 158)(29, 216)(30, 182)(31, 226)(32, 159)(33, 169)(34, 211)(35, 232)(36, 187)(37, 161)(38, 192)(39, 237)(40, 174)(41, 240)(42, 215)(43, 217)(44, 179)(45, 197)(46, 245)(47, 164)(48, 213)(49, 251)(50, 209)(51, 202)(52, 167)(53, 205)(54, 231)(55, 168)(56, 183)(57, 236)(58, 191)(59, 254)(60, 212)(61, 230)(62, 171)(63, 250)(64, 199)(65, 188)(66, 194)(67, 242)(68, 256)(69, 221)(70, 269)(71, 177)(72, 228)(73, 275)(74, 225)(75, 278)(76, 227)(77, 181)(78, 274)(79, 271)(80, 184)(81, 257)(82, 234)(83, 286)(84, 185)(85, 258)(86, 259)(87, 238)(88, 189)(89, 248)(90, 208)(91, 263)(92, 193)(93, 253)(94, 294)(95, 246)(96, 196)(97, 296)(98, 291)(99, 284)(100, 198)(101, 214)(102, 290)(103, 273)(104, 200)(105, 223)(106, 266)(107, 204)(108, 289)(109, 207)(110, 298)(111, 292)(112, 280)(113, 279)(114, 272)(115, 281)(116, 218)(117, 277)(118, 247)(119, 270)(120, 220)(121, 282)(122, 283)(123, 243)(124, 222)(125, 255)(126, 261)(127, 288)(128, 224)(129, 241)(130, 293)(131, 299)(132, 229)(133, 264)(134, 285)(135, 249)(136, 287)(137, 233)(138, 267)(139, 235)(140, 297)(141, 239)(142, 276)(143, 262)(144, 295)(145, 244)(146, 268)(147, 252)(148, 300)(149, 265)(150, 260)(301, 453)(302, 457)(303, 456)(304, 464)(305, 467)(306, 451)(307, 459)(308, 477)(309, 452)(310, 483)(311, 476)(312, 489)(313, 492)(314, 466)(315, 481)(316, 454)(317, 469)(318, 504)(319, 455)(320, 508)(321, 511)(322, 513)(323, 472)(324, 503)(325, 496)(326, 488)(327, 479)(328, 507)(329, 458)(330, 493)(331, 499)(332, 528)(333, 485)(334, 529)(335, 460)(336, 468)(337, 533)(338, 461)(339, 491)(340, 539)(341, 462)(342, 494)(343, 525)(344, 463)(345, 514)(346, 517)(347, 547)(348, 549)(349, 465)(350, 553)(351, 482)(352, 520)(353, 515)(354, 486)(355, 471)(356, 518)(357, 523)(358, 509)(359, 470)(360, 490)(361, 505)(362, 560)(363, 473)(364, 544)(365, 474)(366, 564)(367, 475)(368, 558)(369, 555)(370, 556)(371, 571)(372, 573)(373, 478)(374, 577)(375, 480)(376, 516)(377, 579)(378, 501)(379, 531)(380, 541)(381, 484)(382, 535)(383, 536)(384, 588)(385, 585)(386, 487)(387, 534)(388, 578)(389, 510)(390, 562)(391, 583)(392, 552)(393, 567)(394, 495)(395, 498)(396, 589)(397, 548)(398, 497)(399, 545)(400, 500)(401, 565)(402, 593)(403, 550)(404, 561)(405, 568)(406, 502)(407, 594)(408, 506)(409, 599)(410, 563)(411, 570)(412, 592)(413, 512)(414, 526)(415, 587)(416, 576)(417, 584)(418, 519)(419, 522)(420, 554)(421, 572)(422, 521)(423, 569)(424, 524)(425, 598)(426, 597)(427, 574)(428, 580)(429, 581)(430, 538)(431, 527)(432, 596)(433, 530)(434, 543)(435, 532)(436, 557)(437, 551)(438, 537)(439, 590)(440, 546)(441, 575)(442, 540)(443, 542)(444, 586)(445, 582)(446, 595)(447, 566)(448, 591)(449, 600)(450, 559)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E26.1335
Transitivity :: VT+
Graph:: simple
	v = 75 e = 300 f = 175
	degree seq :: [ 8^75 ]

E26.1342 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = ((C5 x C5) : C3) : C2 (small group id <150, 5>)
Aut   = C2 x (((C5 x C5) : C3) : C2) (small group id <300, 26>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y2^3, Y1^2 * Y2^-1, (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 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 151, 301, 451, 4, 154, 304, 454)(2, 152, 302, 452, 5, 155, 305, 455)(3, 153, 303, 453, 6, 156, 306, 456)(7, 157, 307, 457, 13, 163, 313, 463)(8, 158, 308, 458, 14, 164, 314, 464)(9, 159, 309, 459, 15, 165, 315, 465)(10, 160, 310, 460, 16, 166, 316, 466)(11, 161, 311, 461, 17, 167, 317, 467)(12, 162, 312, 462, 18, 168, 318, 468)(19, 169, 319, 469, 31, 181, 331, 481)(20, 170, 320, 470, 32, 182, 332, 482)(21, 171, 321, 471, 33, 183, 333, 483)(22, 172, 322, 472, 34, 184, 334, 484)(23, 173, 323, 473, 35, 185, 335, 485)(24, 174, 324, 474, 36, 186, 336, 486)(25, 175, 325, 475, 37, 187, 337, 487)(26, 176, 326, 476, 38, 188, 338, 488)(27, 177, 327, 477, 39, 189, 339, 489)(28, 178, 328, 478, 40, 190, 340, 490)(29, 179, 329, 479, 41, 191, 341, 491)(30, 180, 330, 480, 42, 192, 342, 492)(43, 193, 343, 493, 58, 208, 358, 508)(44, 194, 344, 494, 59, 209, 359, 509)(45, 195, 345, 495, 60, 210, 360, 510)(46, 196, 346, 496, 61, 211, 361, 511)(47, 197, 347, 497, 62, 212, 362, 512)(48, 198, 348, 498, 63, 213, 363, 513)(49, 199, 349, 499, 64, 214, 364, 514)(50, 200, 350, 500, 65, 215, 365, 515)(51, 201, 351, 501, 66, 216, 366, 516)(52, 202, 352, 502, 67, 217, 367, 517)(53, 203, 353, 503, 68, 218, 368, 518)(54, 204, 354, 504, 69, 219, 369, 519)(55, 205, 355, 505, 70, 220, 370, 520)(56, 206, 356, 506, 71, 221, 371, 521)(57, 207, 357, 507, 72, 222, 372, 522)(73, 223, 373, 523, 94, 244, 394, 544)(74, 224, 374, 524, 95, 245, 395, 545)(75, 225, 375, 525, 96, 246, 396, 546)(76, 226, 376, 526, 97, 247, 397, 547)(77, 227, 377, 527, 98, 248, 398, 548)(78, 228, 378, 528, 99, 249, 399, 549)(79, 229, 379, 529, 100, 250, 400, 550)(80, 230, 380, 530, 101, 251, 401, 551)(81, 231, 381, 531, 102, 252, 402, 552)(82, 232, 382, 532, 103, 253, 403, 553)(83, 233, 383, 533, 104, 254, 404, 554)(84, 234, 384, 534, 105, 255, 405, 555)(85, 235, 385, 535, 106, 256, 406, 556)(86, 236, 386, 536, 107, 257, 407, 557)(87, 237, 387, 537, 108, 258, 408, 558)(88, 238, 388, 538, 109, 259, 409, 559)(89, 239, 389, 539, 110, 260, 410, 560)(90, 240, 390, 540, 111, 261, 411, 561)(91, 241, 391, 541, 112, 262, 412, 562)(92, 242, 392, 542, 113, 263, 413, 563)(93, 243, 393, 543, 114, 264, 414, 564)(115, 265, 415, 565, 130, 280, 430, 580)(116, 266, 416, 566, 131, 281, 431, 581)(117, 267, 417, 567, 132, 282, 432, 582)(118, 268, 418, 568, 133, 283, 433, 583)(119, 269, 419, 569, 134, 284, 434, 584)(120, 270, 420, 570, 135, 285, 435, 585)(121, 271, 421, 571, 136, 286, 436, 586)(122, 272, 422, 572, 137, 287, 437, 587)(123, 273, 423, 573, 138, 288, 438, 588)(124, 274, 424, 574, 139, 289, 439, 589)(125, 275, 425, 575, 140, 290, 440, 590)(126, 276, 426, 576, 141, 291, 441, 591)(127, 277, 427, 577, 142, 292, 442, 592)(128, 278, 428, 578, 143, 293, 443, 593)(129, 279, 429, 579, 144, 294, 444, 594)(145, 295, 445, 595, 148, 298, 448, 598)(146, 296, 446, 596, 149, 299, 449, 599)(147, 297, 447, 597, 150, 300, 450, 600)
	L = (1, 152)(2, 153)(3, 151)(4, 157)(5, 159)(6, 161)(7, 158)(8, 154)(9, 160)(10, 155)(11, 162)(12, 156)(13, 169)(14, 171)(15, 173)(16, 175)(17, 177)(18, 179)(19, 170)(20, 163)(21, 172)(22, 164)(23, 174)(24, 165)(25, 176)(26, 166)(27, 178)(28, 167)(29, 180)(30, 168)(31, 193)(32, 187)(33, 196)(34, 197)(35, 199)(36, 191)(37, 195)(38, 202)(39, 204)(40, 183)(41, 201)(42, 206)(43, 194)(44, 181)(45, 182)(46, 190)(47, 198)(48, 184)(49, 200)(50, 185)(51, 186)(52, 203)(53, 188)(54, 205)(55, 189)(56, 207)(57, 192)(58, 223)(59, 212)(60, 226)(61, 228)(62, 225)(63, 230)(64, 232)(65, 217)(66, 235)(67, 234)(68, 237)(69, 239)(70, 221)(71, 241)(72, 242)(73, 224)(74, 208)(75, 209)(76, 227)(77, 210)(78, 229)(79, 211)(80, 231)(81, 213)(82, 233)(83, 214)(84, 215)(85, 236)(86, 216)(87, 238)(88, 218)(89, 240)(90, 219)(91, 220)(92, 243)(93, 222)(94, 264)(95, 247)(96, 267)(97, 266)(98, 258)(99, 270)(100, 251)(101, 271)(102, 272)(103, 252)(104, 256)(105, 274)(106, 273)(107, 263)(108, 269)(109, 277)(110, 259)(111, 249)(112, 278)(113, 276)(114, 265)(115, 244)(116, 245)(117, 268)(118, 246)(119, 248)(120, 261)(121, 250)(122, 253)(123, 254)(124, 275)(125, 255)(126, 257)(127, 260)(128, 279)(129, 262)(130, 282)(131, 291)(132, 294)(133, 287)(134, 296)(135, 284)(136, 297)(137, 289)(138, 286)(139, 283)(140, 292)(141, 295)(142, 293)(143, 290)(144, 280)(145, 281)(146, 285)(147, 288)(148, 299)(149, 300)(150, 298)(301, 453)(302, 451)(303, 452)(304, 458)(305, 460)(306, 462)(307, 454)(308, 457)(309, 455)(310, 459)(311, 456)(312, 461)(313, 470)(314, 472)(315, 474)(316, 476)(317, 478)(318, 480)(319, 463)(320, 469)(321, 464)(322, 471)(323, 465)(324, 473)(325, 466)(326, 475)(327, 467)(328, 477)(329, 468)(330, 479)(331, 494)(332, 495)(333, 490)(334, 498)(335, 500)(336, 501)(337, 482)(338, 503)(339, 505)(340, 496)(341, 486)(342, 507)(343, 481)(344, 493)(345, 487)(346, 483)(347, 484)(348, 497)(349, 485)(350, 499)(351, 491)(352, 488)(353, 502)(354, 489)(355, 504)(356, 492)(357, 506)(358, 524)(359, 525)(360, 527)(361, 529)(362, 509)(363, 531)(364, 533)(365, 534)(366, 536)(367, 515)(368, 538)(369, 540)(370, 541)(371, 520)(372, 543)(373, 508)(374, 523)(375, 512)(376, 510)(377, 526)(378, 511)(379, 528)(380, 513)(381, 530)(382, 514)(383, 532)(384, 517)(385, 516)(386, 535)(387, 518)(388, 537)(389, 519)(390, 539)(391, 521)(392, 522)(393, 542)(394, 565)(395, 566)(396, 568)(397, 545)(398, 569)(399, 561)(400, 571)(401, 550)(402, 553)(403, 572)(404, 573)(405, 575)(406, 554)(407, 576)(408, 548)(409, 560)(410, 577)(411, 570)(412, 579)(413, 557)(414, 544)(415, 564)(416, 547)(417, 546)(418, 567)(419, 558)(420, 549)(421, 551)(422, 552)(423, 556)(424, 555)(425, 574)(426, 563)(427, 559)(428, 562)(429, 578)(430, 594)(431, 595)(432, 580)(433, 589)(434, 585)(435, 596)(436, 588)(437, 583)(438, 597)(439, 587)(440, 593)(441, 581)(442, 590)(443, 592)(444, 582)(445, 591)(446, 584)(447, 586)(448, 600)(449, 598)(450, 599)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E26.1336
Transitivity :: VT+
Graph::
	v = 75 e = 300 f = 175
	degree seq :: [ 8^75 ]

E26.1343 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C5 x C5) : C3) : C2 (small group id <150, 6>)
Aut   = (((C5 x C5) : C3) : C2) : C2 (small group id <300, 25>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3 * Y2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y3^-1 * Y2, (R * Y2)^2, (Y3 * Y1)^3, (Y1 * Y2)^5, Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y3 * Y1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 151, 2, 152)(3, 153, 9, 159)(4, 154, 12, 162)(5, 155, 13, 163)(6, 156, 14, 164)(7, 157, 17, 167)(8, 158, 18, 168)(10, 160, 22, 172)(11, 161, 23, 173)(15, 165, 31, 181)(16, 166, 32, 182)(19, 169, 37, 187)(20, 170, 40, 190)(21, 171, 41, 191)(24, 174, 46, 196)(25, 175, 45, 195)(26, 176, 47, 197)(27, 177, 43, 193)(28, 178, 48, 198)(29, 179, 51, 201)(30, 180, 52, 202)(33, 183, 57, 207)(34, 184, 56, 206)(35, 185, 58, 208)(36, 186, 54, 204)(38, 188, 61, 211)(39, 189, 62, 212)(42, 192, 67, 217)(44, 194, 68, 218)(49, 199, 77, 227)(50, 200, 78, 228)(53, 203, 83, 233)(55, 205, 84, 234)(59, 209, 91, 241)(60, 210, 92, 242)(63, 213, 90, 240)(64, 214, 96, 246)(65, 215, 86, 236)(66, 216, 94, 244)(69, 219, 97, 247)(70, 220, 81, 231)(71, 221, 89, 239)(72, 222, 100, 250)(73, 223, 87, 237)(74, 224, 79, 229)(75, 225, 107, 257)(76, 226, 108, 258)(80, 230, 112, 262)(82, 232, 110, 260)(85, 235, 113, 263)(88, 238, 116, 266)(93, 243, 127, 277)(95, 245, 128, 278)(98, 248, 125, 275)(99, 249, 120, 270)(101, 251, 121, 271)(102, 252, 123, 273)(103, 253, 133, 283)(104, 254, 115, 265)(105, 255, 117, 267)(106, 256, 134, 284)(109, 259, 139, 289)(111, 261, 140, 290)(114, 264, 137, 287)(118, 268, 135, 285)(119, 269, 145, 295)(122, 272, 146, 296)(124, 274, 138, 288)(126, 276, 136, 286)(129, 279, 141, 291)(130, 280, 147, 297)(131, 281, 148, 298)(132, 282, 144, 294)(142, 292, 149, 299)(143, 293, 150, 300)(301, 451, 303, 453)(302, 452, 306, 456)(304, 454, 310, 460)(305, 455, 311, 461)(307, 457, 315, 465)(308, 458, 316, 466)(309, 459, 319, 469)(312, 462, 324, 474)(313, 463, 326, 476)(314, 464, 328, 478)(317, 467, 333, 483)(318, 468, 335, 485)(320, 470, 338, 488)(321, 471, 339, 489)(322, 472, 342, 492)(323, 473, 344, 494)(325, 475, 336, 486)(327, 477, 334, 484)(329, 479, 349, 499)(330, 480, 350, 500)(331, 481, 353, 503)(332, 482, 355, 505)(337, 487, 348, 498)(340, 490, 363, 513)(341, 491, 365, 515)(343, 493, 366, 516)(345, 495, 364, 514)(346, 496, 369, 519)(347, 497, 372, 522)(351, 501, 379, 529)(352, 502, 381, 531)(354, 504, 382, 532)(356, 506, 380, 530)(357, 507, 385, 535)(358, 508, 388, 538)(359, 509, 375, 525)(360, 510, 376, 526)(361, 511, 393, 543)(362, 512, 395, 545)(367, 517, 397, 547)(368, 518, 400, 550)(370, 520, 403, 553)(371, 521, 404, 554)(373, 523, 405, 555)(374, 524, 406, 556)(377, 527, 409, 559)(378, 528, 411, 561)(383, 533, 413, 563)(384, 534, 416, 566)(386, 536, 419, 569)(387, 537, 420, 570)(389, 539, 421, 571)(390, 540, 422, 572)(391, 541, 423, 573)(392, 542, 425, 575)(394, 544, 426, 576)(396, 546, 424, 574)(398, 548, 429, 579)(399, 549, 430, 580)(401, 551, 431, 581)(402, 552, 432, 582)(407, 557, 435, 585)(408, 558, 437, 587)(410, 560, 438, 588)(412, 562, 436, 586)(414, 564, 441, 591)(415, 565, 442, 592)(417, 567, 443, 593)(418, 568, 444, 594)(427, 577, 446, 596)(428, 578, 445, 595)(433, 583, 440, 590)(434, 584, 439, 589)(447, 597, 450, 600)(448, 598, 449, 599)
	L = (1, 304)(2, 307)(3, 310)(4, 311)(5, 301)(6, 315)(7, 316)(8, 302)(9, 320)(10, 305)(11, 303)(12, 318)(13, 327)(14, 329)(15, 308)(16, 306)(17, 313)(18, 336)(19, 338)(20, 339)(21, 309)(22, 341)(23, 345)(24, 335)(25, 312)(26, 334)(27, 333)(28, 349)(29, 350)(30, 314)(31, 352)(32, 356)(33, 326)(34, 317)(35, 325)(36, 324)(37, 359)(38, 321)(39, 319)(40, 323)(41, 366)(42, 365)(43, 322)(44, 364)(45, 363)(46, 370)(47, 373)(48, 375)(49, 330)(50, 328)(51, 332)(52, 382)(53, 381)(54, 331)(55, 380)(56, 379)(57, 386)(58, 389)(59, 376)(60, 337)(61, 392)(62, 396)(63, 344)(64, 340)(65, 343)(66, 342)(67, 398)(68, 401)(69, 403)(70, 404)(71, 346)(72, 405)(73, 406)(74, 347)(75, 360)(76, 348)(77, 408)(78, 412)(79, 355)(80, 351)(81, 354)(82, 353)(83, 414)(84, 417)(85, 419)(86, 420)(87, 357)(88, 421)(89, 422)(90, 358)(91, 362)(92, 426)(93, 425)(94, 361)(95, 424)(96, 423)(97, 429)(98, 430)(99, 367)(100, 431)(101, 432)(102, 368)(103, 371)(104, 369)(105, 374)(106, 372)(107, 378)(108, 438)(109, 437)(110, 377)(111, 436)(112, 435)(113, 441)(114, 442)(115, 383)(116, 443)(117, 444)(118, 384)(119, 387)(120, 385)(121, 390)(122, 388)(123, 395)(124, 391)(125, 394)(126, 393)(127, 440)(128, 448)(129, 399)(130, 397)(131, 402)(132, 400)(133, 447)(134, 445)(135, 411)(136, 407)(137, 410)(138, 409)(139, 428)(140, 450)(141, 415)(142, 413)(143, 418)(144, 416)(145, 449)(146, 433)(147, 427)(148, 434)(149, 439)(150, 446)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)
	local type(s) :: { ( 6^4 ) }
Outer automorphisms :: reflexible
Dual of E26.1354
Graph:: simple bipartite
	v = 150 e = 300 f = 100
	degree seq :: [ 4^150 ]

E26.1344 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C5 x C5) : C3) : C2 (small group id <150, 5>)
Aut   = (((C5 x C5) : C3) : C2) : C2 (small group id <300, 25>)
|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, Y2^3, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, (Y1 * Y2 * Y1 * Y2^-1)^3, (Y1 * Y2^-1)^10 ]
Map::
	R = (1, 151, 2, 152)(3, 153, 7, 157)(4, 154, 8, 158)(5, 155, 9, 159)(6, 156, 10, 160)(11, 161, 19, 169)(12, 162, 20, 170)(13, 163, 21, 171)(14, 164, 22, 172)(15, 165, 23, 173)(16, 166, 24, 174)(17, 167, 25, 175)(18, 168, 26, 176)(27, 177, 43, 193)(28, 178, 44, 194)(29, 179, 37, 187)(30, 180, 45, 195)(31, 181, 46, 196)(32, 182, 40, 190)(33, 183, 47, 197)(34, 184, 48, 198)(35, 185, 49, 199)(36, 186, 50, 200)(38, 188, 51, 201)(39, 189, 52, 202)(41, 191, 53, 203)(42, 192, 54, 204)(55, 205, 73, 223)(56, 206, 74, 224)(57, 207, 75, 225)(58, 208, 76, 226)(59, 209, 77, 227)(60, 210, 78, 228)(61, 211, 79, 229)(62, 212, 80, 230)(63, 213, 81, 231)(64, 214, 82, 232)(65, 215, 83, 233)(66, 216, 84, 234)(67, 217, 85, 235)(68, 218, 86, 236)(69, 219, 87, 237)(70, 220, 88, 238)(71, 221, 89, 239)(72, 222, 90, 240)(91, 241, 114, 264)(92, 242, 115, 265)(93, 243, 116, 266)(94, 244, 117, 267)(95, 245, 118, 268)(96, 246, 108, 258)(97, 247, 119, 269)(98, 248, 120, 270)(99, 249, 111, 261)(100, 250, 121, 271)(101, 251, 122, 272)(102, 252, 103, 253)(104, 254, 123, 273)(105, 255, 124, 274)(106, 256, 125, 275)(107, 257, 126, 276)(109, 259, 127, 277)(110, 260, 128, 278)(112, 262, 129, 279)(113, 263, 130, 280)(131, 281, 144, 294)(132, 282, 141, 291)(133, 283, 145, 295)(134, 284, 139, 289)(135, 285, 146, 296)(136, 286, 147, 297)(137, 287, 138, 288)(140, 290, 148, 298)(142, 292, 149, 299)(143, 293, 150, 300)(301, 451, 303, 453, 304, 454)(302, 452, 305, 455, 306, 456)(307, 457, 311, 461, 312, 462)(308, 458, 313, 463, 314, 464)(309, 459, 315, 465, 316, 466)(310, 460, 317, 467, 318, 468)(319, 469, 327, 477, 328, 478)(320, 470, 329, 479, 330, 480)(321, 471, 331, 481, 332, 482)(322, 472, 333, 483, 334, 484)(323, 473, 335, 485, 336, 486)(324, 474, 337, 487, 338, 488)(325, 475, 339, 489, 340, 490)(326, 476, 341, 491, 342, 492)(343, 493, 355, 505, 356, 506)(344, 494, 347, 497, 357, 507)(345, 495, 358, 508, 359, 509)(346, 496, 360, 510, 361, 511)(348, 498, 362, 512, 363, 513)(349, 499, 364, 514, 365, 515)(350, 500, 353, 503, 366, 516)(351, 501, 367, 517, 368, 518)(352, 502, 369, 519, 370, 520)(354, 504, 371, 521, 372, 522)(373, 523, 391, 541, 392, 542)(374, 524, 376, 526, 393, 543)(375, 525, 394, 544, 395, 545)(377, 527, 396, 546, 397, 547)(378, 528, 398, 548, 399, 549)(379, 529, 380, 530, 400, 550)(381, 531, 401, 551, 402, 552)(382, 532, 403, 553, 404, 554)(383, 533, 385, 535, 405, 555)(384, 534, 406, 556, 407, 557)(386, 536, 408, 558, 409, 559)(387, 537, 410, 560, 411, 561)(388, 538, 389, 539, 412, 562)(390, 540, 413, 563, 414, 564)(415, 565, 417, 567, 431, 581)(416, 566, 432, 582, 433, 583)(418, 568, 422, 572, 434, 584)(419, 569, 435, 585, 420, 570)(421, 571, 436, 586, 437, 587)(423, 573, 425, 575, 438, 588)(424, 574, 439, 589, 440, 590)(426, 576, 430, 580, 441, 591)(427, 577, 442, 592, 428, 578)(429, 579, 443, 593, 444, 594)(445, 595, 446, 596, 447, 597)(448, 598, 449, 599, 450, 600)
	L = (1, 301)(2, 302)(3, 303)(4, 304)(5, 305)(6, 306)(7, 307)(8, 308)(9, 309)(10, 310)(11, 311)(12, 312)(13, 313)(14, 314)(15, 315)(16, 316)(17, 317)(18, 318)(19, 319)(20, 320)(21, 321)(22, 322)(23, 323)(24, 324)(25, 325)(26, 326)(27, 327)(28, 328)(29, 329)(30, 330)(31, 331)(32, 332)(33, 333)(34, 334)(35, 335)(36, 336)(37, 337)(38, 338)(39, 339)(40, 340)(41, 341)(42, 342)(43, 343)(44, 344)(45, 345)(46, 346)(47, 347)(48, 348)(49, 349)(50, 350)(51, 351)(52, 352)(53, 353)(54, 354)(55, 355)(56, 356)(57, 357)(58, 358)(59, 359)(60, 360)(61, 361)(62, 362)(63, 363)(64, 364)(65, 365)(66, 366)(67, 367)(68, 368)(69, 369)(70, 370)(71, 371)(72, 372)(73, 373)(74, 374)(75, 375)(76, 376)(77, 377)(78, 378)(79, 379)(80, 380)(81, 381)(82, 382)(83, 383)(84, 384)(85, 385)(86, 386)(87, 387)(88, 388)(89, 389)(90, 390)(91, 391)(92, 392)(93, 393)(94, 394)(95, 395)(96, 396)(97, 397)(98, 398)(99, 399)(100, 400)(101, 401)(102, 402)(103, 403)(104, 404)(105, 405)(106, 406)(107, 407)(108, 408)(109, 409)(110, 410)(111, 411)(112, 412)(113, 413)(114, 414)(115, 415)(116, 416)(117, 417)(118, 418)(119, 419)(120, 420)(121, 421)(122, 422)(123, 423)(124, 424)(125, 425)(126, 426)(127, 427)(128, 428)(129, 429)(130, 430)(131, 431)(132, 432)(133, 433)(134, 434)(135, 435)(136, 436)(137, 437)(138, 438)(139, 439)(140, 440)(141, 441)(142, 442)(143, 443)(144, 444)(145, 445)(146, 446)(147, 447)(148, 448)(149, 449)(150, 450)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 125 e = 300 f = 125
	degree seq :: [ 4^75, 6^50 ]

E26.1345 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C5 x C5) : C3) : C2 (small group id <150, 6>)
Aut   = (((C5 x C5) : C3) : C2) : C2 (small group id <300, 25>)
|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, Y2^3, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, (Y1 * Y2^-1)^6, (Y1 * Y2 * Y1 * Y2^-1)^5 ]
Map::
	R = (1, 151, 2, 152)(3, 153, 7, 157)(4, 154, 8, 158)(5, 155, 9, 159)(6, 156, 10, 160)(11, 161, 19, 169)(12, 162, 20, 170)(13, 163, 21, 171)(14, 164, 22, 172)(15, 165, 23, 173)(16, 166, 24, 174)(17, 167, 25, 175)(18, 168, 26, 176)(27, 177, 42, 192)(28, 178, 43, 193)(29, 179, 44, 194)(30, 180, 45, 195)(31, 181, 46, 196)(32, 182, 47, 197)(33, 183, 48, 198)(34, 184, 35, 185)(36, 186, 49, 199)(37, 187, 50, 200)(38, 188, 51, 201)(39, 189, 52, 202)(40, 190, 53, 203)(41, 191, 54, 204)(55, 205, 73, 223)(56, 206, 74, 224)(57, 207, 75, 225)(58, 208, 76, 226)(59, 209, 77, 227)(60, 210, 78, 228)(61, 211, 79, 229)(62, 212, 80, 230)(63, 213, 81, 231)(64, 214, 82, 232)(65, 215, 83, 233)(66, 216, 84, 234)(67, 217, 85, 235)(68, 218, 86, 236)(69, 219, 87, 237)(70, 220, 88, 238)(71, 221, 89, 239)(72, 222, 90, 240)(91, 241, 114, 264)(92, 242, 115, 265)(93, 243, 116, 266)(94, 244, 106, 256)(95, 245, 117, 267)(96, 246, 118, 268)(97, 247, 119, 269)(98, 248, 120, 270)(99, 249, 111, 261)(100, 250, 121, 271)(101, 251, 122, 272)(102, 252, 103, 253)(104, 254, 123, 273)(105, 255, 124, 274)(107, 257, 125, 275)(108, 258, 126, 276)(109, 259, 127, 277)(110, 260, 128, 278)(112, 262, 129, 279)(113, 263, 130, 280)(131, 281, 145, 295)(132, 282, 146, 296)(133, 283, 141, 291)(134, 284, 140, 290)(135, 285, 143, 293)(136, 286, 142, 292)(137, 287, 147, 297)(138, 288, 148, 298)(139, 289, 149, 299)(144, 294, 150, 300)(301, 451, 303, 453, 304, 454)(302, 452, 305, 455, 306, 456)(307, 457, 311, 461, 312, 462)(308, 458, 313, 463, 314, 464)(309, 459, 315, 465, 316, 466)(310, 460, 317, 467, 318, 468)(319, 469, 327, 477, 328, 478)(320, 470, 329, 479, 330, 480)(321, 471, 331, 481, 332, 482)(322, 472, 333, 483, 334, 484)(323, 473, 335, 485, 336, 486)(324, 474, 337, 487, 338, 488)(325, 475, 339, 489, 340, 490)(326, 476, 341, 491, 342, 492)(343, 493, 355, 505, 356, 506)(344, 494, 357, 507, 358, 508)(345, 495, 359, 509, 346, 496)(347, 497, 360, 510, 361, 511)(348, 498, 362, 512, 363, 513)(349, 499, 364, 514, 365, 515)(350, 500, 366, 516, 367, 517)(351, 501, 368, 518, 352, 502)(353, 503, 369, 519, 370, 520)(354, 504, 371, 521, 372, 522)(373, 523, 391, 541, 392, 542)(374, 524, 393, 543, 375, 525)(376, 526, 394, 544, 395, 545)(377, 527, 396, 546, 397, 547)(378, 528, 398, 548, 399, 549)(379, 529, 400, 550, 380, 530)(381, 531, 401, 551, 402, 552)(382, 532, 403, 553, 404, 554)(383, 533, 405, 555, 384, 534)(385, 535, 406, 556, 407, 557)(386, 536, 408, 558, 409, 559)(387, 537, 410, 560, 411, 561)(388, 538, 412, 562, 389, 539)(390, 540, 413, 563, 414, 564)(415, 565, 422, 572, 431, 581)(416, 566, 432, 582, 433, 583)(417, 567, 434, 584, 418, 568)(419, 569, 435, 585, 420, 570)(421, 571, 436, 586, 437, 587)(423, 573, 430, 580, 438, 588)(424, 574, 439, 589, 440, 590)(425, 575, 441, 591, 426, 576)(427, 577, 442, 592, 428, 578)(429, 579, 443, 593, 444, 594)(445, 595, 447, 597, 446, 596)(448, 598, 450, 600, 449, 599)
	L = (1, 301)(2, 302)(3, 303)(4, 304)(5, 305)(6, 306)(7, 307)(8, 308)(9, 309)(10, 310)(11, 311)(12, 312)(13, 313)(14, 314)(15, 315)(16, 316)(17, 317)(18, 318)(19, 319)(20, 320)(21, 321)(22, 322)(23, 323)(24, 324)(25, 325)(26, 326)(27, 327)(28, 328)(29, 329)(30, 330)(31, 331)(32, 332)(33, 333)(34, 334)(35, 335)(36, 336)(37, 337)(38, 338)(39, 339)(40, 340)(41, 341)(42, 342)(43, 343)(44, 344)(45, 345)(46, 346)(47, 347)(48, 348)(49, 349)(50, 350)(51, 351)(52, 352)(53, 353)(54, 354)(55, 355)(56, 356)(57, 357)(58, 358)(59, 359)(60, 360)(61, 361)(62, 362)(63, 363)(64, 364)(65, 365)(66, 366)(67, 367)(68, 368)(69, 369)(70, 370)(71, 371)(72, 372)(73, 373)(74, 374)(75, 375)(76, 376)(77, 377)(78, 378)(79, 379)(80, 380)(81, 381)(82, 382)(83, 383)(84, 384)(85, 385)(86, 386)(87, 387)(88, 388)(89, 389)(90, 390)(91, 391)(92, 392)(93, 393)(94, 394)(95, 395)(96, 396)(97, 397)(98, 398)(99, 399)(100, 400)(101, 401)(102, 402)(103, 403)(104, 404)(105, 405)(106, 406)(107, 407)(108, 408)(109, 409)(110, 410)(111, 411)(112, 412)(113, 413)(114, 414)(115, 415)(116, 416)(117, 417)(118, 418)(119, 419)(120, 420)(121, 421)(122, 422)(123, 423)(124, 424)(125, 425)(126, 426)(127, 427)(128, 428)(129, 429)(130, 430)(131, 431)(132, 432)(133, 433)(134, 434)(135, 435)(136, 436)(137, 437)(138, 438)(139, 439)(140, 440)(141, 441)(142, 442)(143, 443)(144, 444)(145, 445)(146, 446)(147, 447)(148, 448)(149, 449)(150, 450)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 125 e = 300 f = 125
	degree seq :: [ 4^75, 6^50 ]

E26.1346 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C5 x C5) : C3) : C2 (small group id <150, 5>)
Aut   = (((C5 x C5) : C3) : C2) : C2 (small group id <300, 25>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, Y2^3, (R * Y3)^2, (Y3 * Y1)^2, (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y3^-1, Y1 * Y2 * Y1 * Y2^-1 * Y3, Y1 * Y2^-1 * Y3^-1 * Y1 * Y3 * Y2, R * Y2 * R * Y3 * Y2 * Y3^-1, (Y3 * Y2^-1)^3, R * Y1 * Y3 * R * Y1 * Y3^-1, (Y2 * R * Y2 * Y1)^2, (Y3^-1 * Y2^-1)^5, Y3 * Y2 * R * Y2 * R * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1, (Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 151, 2, 152)(3, 153, 11, 161)(4, 154, 10, 160)(5, 155, 16, 166)(6, 156, 8, 158)(7, 157, 19, 169)(9, 159, 17, 167)(12, 162, 28, 178)(13, 163, 27, 177)(14, 164, 23, 173)(15, 165, 35, 185)(18, 168, 25, 175)(20, 170, 43, 193)(21, 171, 39, 189)(22, 172, 42, 192)(24, 174, 44, 194)(26, 176, 31, 181)(29, 179, 55, 205)(30, 180, 59, 209)(32, 182, 61, 211)(33, 183, 50, 200)(34, 184, 49, 199)(36, 186, 54, 204)(37, 187, 40, 190)(38, 188, 52, 202)(41, 191, 73, 223)(45, 195, 51, 201)(46, 196, 76, 226)(47, 197, 71, 221)(48, 198, 78, 228)(53, 203, 74, 224)(56, 206, 62, 212)(57, 207, 92, 242)(58, 208, 91, 241)(60, 210, 70, 220)(63, 213, 93, 243)(64, 214, 85, 235)(65, 215, 104, 254)(66, 216, 87, 237)(67, 217, 68, 218)(69, 219, 109, 259)(72, 222, 82, 232)(75, 225, 89, 239)(77, 227, 83, 233)(79, 229, 118, 268)(80, 230, 113, 263)(81, 231, 116, 266)(84, 234, 117, 267)(86, 236, 106, 256)(88, 238, 119, 269)(90, 240, 100, 250)(94, 244, 129, 279)(95, 245, 125, 275)(96, 246, 132, 282)(97, 247, 98, 248)(99, 249, 138, 288)(101, 251, 121, 271)(102, 252, 127, 277)(103, 253, 126, 276)(105, 255, 108, 258)(107, 257, 128, 278)(110, 260, 120, 270)(111, 261, 115, 265)(112, 262, 123, 273)(114, 264, 130, 280)(122, 272, 147, 297)(124, 274, 146, 296)(131, 281, 135, 285)(133, 283, 140, 290)(134, 284, 137, 287)(136, 286, 150, 300)(139, 289, 142, 292)(141, 291, 149, 299)(143, 293, 148, 298)(144, 294, 145, 295)(301, 451, 303, 453, 305, 455)(302, 452, 307, 457, 309, 459)(304, 454, 314, 464, 315, 465)(306, 456, 319, 469, 320, 470)(308, 458, 323, 473, 324, 474)(310, 460, 311, 461, 326, 476)(312, 462, 329, 479, 330, 480)(313, 463, 331, 481, 332, 482)(316, 466, 337, 487, 328, 478)(317, 467, 338, 488, 339, 489)(318, 468, 340, 490, 341, 491)(321, 471, 346, 496, 347, 497)(322, 472, 343, 493, 348, 498)(325, 475, 352, 502, 353, 503)(327, 477, 355, 505, 356, 506)(333, 483, 364, 514, 365, 515)(334, 484, 344, 494, 366, 516)(335, 485, 367, 517, 350, 500)(336, 486, 368, 518, 369, 519)(342, 492, 376, 526, 377, 527)(345, 495, 378, 528, 379, 529)(349, 499, 385, 535, 386, 536)(351, 501, 387, 537, 388, 538)(354, 504, 361, 511, 390, 540)(357, 507, 394, 544, 395, 545)(358, 508, 362, 512, 396, 546)(359, 509, 397, 547, 392, 542)(360, 510, 398, 548, 399, 549)(363, 513, 400, 550, 401, 551)(370, 520, 373, 523, 411, 561)(371, 521, 412, 562, 413, 563)(372, 522, 374, 524, 414, 564)(375, 525, 415, 565, 402, 552)(380, 530, 420, 570, 421, 571)(381, 531, 383, 533, 422, 572)(382, 532, 423, 573, 424, 574)(384, 534, 418, 568, 425, 575)(389, 539, 430, 580, 426, 576)(391, 541, 429, 579, 431, 581)(393, 543, 432, 582, 433, 583)(403, 553, 406, 556, 441, 591)(404, 554, 442, 592, 427, 577)(405, 555, 439, 589, 443, 593)(407, 557, 419, 569, 435, 585)(408, 558, 409, 559, 444, 594)(410, 560, 445, 595, 416, 566)(417, 567, 447, 597, 434, 584)(428, 578, 449, 599, 450, 600)(436, 586, 440, 590, 446, 596)(437, 587, 438, 588, 448, 598)
	L = (1, 304)(2, 308)(3, 312)(4, 306)(5, 317)(6, 301)(7, 321)(8, 310)(9, 316)(10, 302)(11, 327)(12, 313)(13, 303)(14, 333)(15, 331)(16, 325)(17, 318)(18, 305)(19, 342)(20, 344)(21, 322)(22, 307)(23, 349)(24, 343)(25, 309)(26, 335)(27, 328)(28, 311)(29, 357)(30, 340)(31, 336)(32, 362)(33, 334)(34, 314)(35, 354)(36, 315)(37, 359)(38, 371)(39, 319)(40, 360)(41, 374)(42, 339)(43, 351)(44, 345)(45, 320)(46, 380)(47, 352)(48, 383)(49, 350)(50, 323)(51, 324)(52, 382)(53, 373)(54, 326)(55, 391)(56, 361)(57, 358)(58, 329)(59, 370)(60, 330)(61, 393)(62, 363)(63, 332)(64, 402)(65, 368)(66, 406)(67, 404)(68, 405)(69, 400)(70, 337)(71, 372)(72, 338)(73, 389)(74, 375)(75, 341)(76, 416)(77, 378)(78, 417)(79, 419)(80, 381)(81, 346)(82, 347)(83, 384)(84, 348)(85, 426)(86, 387)(87, 428)(88, 418)(89, 353)(90, 409)(91, 392)(92, 355)(93, 356)(94, 379)(95, 398)(96, 435)(97, 425)(98, 434)(99, 415)(100, 410)(101, 440)(102, 403)(103, 364)(104, 408)(105, 365)(106, 407)(107, 366)(108, 367)(109, 420)(110, 369)(111, 438)(112, 401)(113, 376)(114, 446)(115, 439)(116, 413)(117, 377)(118, 429)(119, 394)(120, 390)(121, 423)(122, 444)(123, 433)(124, 430)(125, 437)(126, 427)(127, 385)(128, 386)(129, 388)(130, 449)(131, 432)(132, 450)(133, 421)(134, 395)(135, 436)(136, 396)(137, 397)(138, 442)(139, 399)(140, 412)(141, 414)(142, 411)(143, 445)(144, 448)(145, 447)(146, 441)(147, 443)(148, 422)(149, 424)(150, 431)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 125 e = 300 f = 125
	degree seq :: [ 4^75, 6^50 ]

E26.1347 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C5 x C5) : C3) : C2 (small group id <150, 6>)
Aut   = (((C5 x C5) : C3) : C2) : C2 (small group id <300, 25>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y1 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3^5, (Y2 * Y3^-1)^3, (Y3^-1 * Y2^-1)^3, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y1, (Y3 * Y2 * Y1 * Y2^-1)^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y3^2 * Y2, Y2^-1 * Y1 * Y2^-1 * Y3 * Y1 * Y2 * Y3^2 * Y2 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 151, 2, 152)(3, 153, 11, 161)(4, 154, 10, 160)(5, 155, 17, 167)(6, 156, 8, 158)(7, 157, 23, 173)(9, 159, 29, 179)(12, 162, 37, 187)(13, 163, 25, 175)(14, 164, 43, 193)(15, 165, 34, 184)(16, 166, 28, 178)(18, 168, 50, 200)(19, 169, 48, 198)(20, 170, 56, 206)(21, 171, 58, 208)(22, 172, 27, 177)(24, 174, 39, 189)(26, 176, 68, 218)(30, 180, 73, 223)(31, 181, 72, 222)(32, 182, 79, 229)(33, 183, 61, 211)(35, 185, 55, 205)(36, 186, 84, 234)(38, 188, 89, 239)(40, 190, 67, 217)(41, 191, 71, 221)(42, 192, 65, 215)(44, 194, 96, 246)(45, 195, 76, 226)(46, 196, 98, 248)(47, 197, 66, 216)(49, 199, 104, 254)(51, 201, 77, 227)(52, 202, 83, 233)(53, 203, 70, 220)(54, 204, 74, 224)(57, 207, 114, 264)(59, 209, 117, 267)(60, 210, 120, 270)(62, 212, 78, 228)(63, 213, 88, 238)(64, 214, 122, 272)(69, 219, 116, 266)(75, 225, 123, 273)(80, 230, 97, 247)(81, 231, 115, 265)(82, 232, 138, 288)(85, 235, 141, 291)(86, 236, 140, 290)(87, 237, 118, 268)(90, 240, 113, 263)(91, 241, 136, 286)(92, 242, 103, 253)(93, 243, 129, 279)(94, 244, 127, 277)(95, 245, 102, 252)(99, 249, 146, 296)(100, 250, 137, 287)(101, 251, 131, 281)(105, 255, 148, 298)(106, 256, 119, 269)(107, 257, 145, 295)(108, 258, 112, 262)(109, 259, 128, 278)(110, 260, 133, 283)(111, 261, 132, 282)(121, 271, 134, 284)(124, 274, 139, 289)(125, 275, 143, 293)(126, 276, 135, 285)(130, 280, 144, 294)(142, 292, 147, 297)(149, 299, 150, 300)(301, 451, 303, 453, 305, 455)(302, 452, 307, 457, 309, 459)(304, 454, 314, 464, 316, 466)(306, 456, 320, 470, 321, 471)(308, 458, 326, 476, 328, 478)(310, 460, 332, 482, 333, 483)(311, 461, 335, 485, 336, 486)(312, 462, 338, 488, 340, 490)(313, 463, 341, 491, 342, 492)(315, 465, 346, 496, 329, 479)(317, 467, 327, 477, 349, 499)(318, 468, 351, 501, 353, 503)(319, 469, 354, 504, 344, 494)(322, 472, 360, 510, 361, 511)(323, 473, 362, 512, 363, 513)(324, 474, 364, 514, 365, 515)(325, 475, 366, 516, 367, 517)(330, 480, 374, 524, 376, 526)(331, 481, 377, 527, 369, 519)(334, 484, 382, 532, 358, 508)(337, 487, 387, 537, 388, 538)(339, 489, 391, 541, 384, 534)(343, 493, 395, 545, 386, 536)(345, 495, 372, 522, 394, 544)(347, 497, 401, 551, 399, 549)(348, 498, 403, 553, 370, 520)(350, 500, 407, 557, 408, 558)(352, 502, 410, 560, 404, 554)(355, 505, 411, 561, 412, 562)(356, 506, 413, 563, 385, 535)(357, 507, 415, 565, 392, 542)(359, 509, 409, 559, 419, 569)(368, 518, 393, 543, 425, 575)(371, 521, 428, 578, 405, 555)(373, 523, 430, 580, 421, 571)(375, 525, 432, 582, 398, 548)(378, 528, 433, 583, 434, 584)(379, 529, 435, 585, 424, 574)(380, 530, 417, 567, 427, 577)(381, 531, 431, 581, 437, 587)(383, 533, 439, 589, 396, 546)(389, 539, 444, 594, 406, 556)(390, 540, 440, 590, 397, 547)(400, 550, 422, 572, 445, 595)(402, 552, 447, 597, 448, 598)(414, 564, 426, 576, 443, 593)(416, 566, 423, 573, 441, 591)(418, 568, 449, 599, 438, 588)(420, 570, 436, 586, 442, 592)(429, 579, 450, 600, 446, 596)
	L = (1, 304)(2, 308)(3, 312)(4, 315)(5, 318)(6, 301)(7, 324)(8, 327)(9, 330)(10, 302)(11, 325)(12, 339)(13, 303)(14, 344)(15, 322)(16, 341)(17, 348)(18, 352)(19, 305)(20, 357)(21, 359)(22, 306)(23, 313)(24, 337)(25, 307)(26, 369)(27, 334)(28, 366)(29, 372)(30, 375)(31, 309)(32, 380)(33, 381)(34, 310)(35, 383)(36, 385)(37, 311)(38, 321)(39, 323)(40, 354)(41, 393)(42, 394)(43, 376)(44, 397)(45, 314)(46, 399)(47, 316)(48, 335)(49, 405)(50, 317)(51, 342)(52, 355)(53, 320)(54, 401)(55, 319)(56, 370)(57, 416)(58, 389)(59, 418)(60, 421)(61, 422)(62, 423)(63, 424)(64, 333)(65, 377)(66, 395)(67, 403)(68, 353)(69, 414)(70, 326)(71, 328)(72, 362)(73, 329)(74, 367)(75, 378)(76, 332)(77, 428)(78, 331)(79, 345)(80, 396)(81, 436)(82, 408)(83, 350)(84, 440)(85, 442)(86, 336)(87, 417)(88, 443)(89, 413)(90, 338)(91, 415)(92, 340)(93, 402)(94, 445)(95, 429)(96, 343)(97, 379)(98, 437)(99, 412)(100, 346)(101, 430)(102, 347)(103, 444)(104, 419)(105, 434)(106, 349)(107, 427)(108, 446)(109, 351)(110, 425)(111, 447)(112, 438)(113, 387)(114, 356)(115, 361)(116, 368)(117, 358)(118, 390)(119, 360)(120, 406)(121, 448)(122, 435)(123, 373)(124, 449)(125, 363)(126, 364)(127, 365)(128, 407)(129, 371)(130, 392)(131, 374)(132, 386)(133, 450)(134, 420)(135, 391)(136, 426)(137, 382)(138, 400)(139, 388)(140, 411)(141, 384)(142, 432)(143, 433)(144, 431)(145, 409)(146, 398)(147, 441)(148, 404)(149, 410)(150, 439)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E26.1349
Graph:: simple bipartite
	v = 125 e = 300 f = 125
	degree seq :: [ 4^75, 6^50 ]

E26.1348 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C5 x C5) : C3) : C2 (small group id <150, 6>)
Aut   = (((C5 x C5) : C3) : C2) : C2 (small group id <300, 25>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3 * Y1)^2, (R * Y3)^2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y3^5, (Y3^-1 * Y2)^3, R * Y1 * Y3 * R * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2^-1)^3, (Y3 * Y2^-1)^3, Y3^3 * Y1 * Y3^-2 * Y1, Y3^-2 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1, Y1 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y3^2 * Y2^-1, (Y2 * Y3 * Y2^-1 * Y1)^2, (Y2^-1 * Y1 * Y2 * R)^2, Y1 * Y2^-1 * Y1 * Y2^-1 * R * Y2 * R * Y3^-1, (Y3 * Y2 * Y1 * Y2^-1)^2, Y3 * R * Y2 * R * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: polyhedral non-degenerate
	R = (1, 151, 2, 152)(3, 153, 11, 161)(4, 154, 10, 160)(5, 155, 17, 167)(6, 156, 8, 158)(7, 157, 23, 173)(9, 159, 29, 179)(12, 162, 38, 188)(13, 163, 36, 186)(14, 164, 45, 195)(15, 165, 34, 184)(16, 166, 50, 200)(18, 168, 55, 205)(19, 169, 53, 203)(20, 170, 61, 211)(21, 171, 63, 213)(22, 172, 27, 177)(24, 174, 62, 212)(25, 175, 68, 218)(26, 176, 75, 225)(28, 178, 80, 230)(30, 180, 66, 216)(31, 181, 83, 233)(32, 182, 40, 190)(33, 183, 64, 214)(35, 185, 91, 241)(37, 187, 96, 246)(39, 189, 101, 251)(41, 191, 73, 223)(42, 192, 79, 229)(43, 193, 71, 221)(44, 194, 87, 237)(46, 196, 112, 262)(47, 197, 111, 261)(48, 198, 115, 265)(49, 199, 72, 222)(51, 201, 93, 243)(52, 202, 120, 270)(54, 204, 125, 275)(56, 206, 88, 238)(57, 207, 99, 249)(58, 208, 74, 224)(59, 209, 85, 235)(60, 210, 123, 273)(65, 215, 136, 286)(67, 217, 110, 260)(69, 219, 122, 272)(70, 220, 134, 284)(76, 226, 137, 287)(77, 227, 129, 279)(78, 228, 131, 281)(81, 231, 108, 258)(82, 232, 144, 294)(84, 234, 126, 276)(86, 236, 132, 282)(89, 239, 103, 253)(90, 240, 113, 263)(92, 242, 106, 256)(94, 244, 117, 267)(95, 245, 147, 297)(97, 247, 109, 259)(98, 248, 148, 298)(100, 250, 107, 257)(102, 252, 140, 290)(104, 254, 141, 291)(105, 255, 118, 268)(114, 264, 133, 283)(116, 266, 142, 292)(119, 269, 121, 271)(124, 274, 135, 285)(127, 277, 143, 293)(128, 278, 146, 296)(130, 280, 145, 295)(138, 288, 149, 299)(139, 289, 150, 300)(301, 451, 303, 453, 305, 455)(302, 452, 307, 457, 309, 459)(304, 454, 314, 464, 316, 466)(306, 456, 320, 470, 321, 471)(308, 458, 326, 476, 328, 478)(310, 460, 332, 482, 333, 483)(311, 461, 335, 485, 337, 487)(312, 462, 339, 489, 341, 491)(313, 463, 342, 492, 343, 493)(315, 465, 348, 498, 349, 499)(317, 467, 352, 502, 354, 504)(318, 468, 356, 506, 358, 508)(319, 469, 359, 509, 346, 496)(322, 472, 365, 515, 366, 516)(323, 473, 367, 517, 369, 519)(324, 474, 370, 520, 371, 521)(325, 475, 372, 522, 373, 523)(327, 477, 378, 528, 379, 529)(329, 479, 382, 532, 384, 534)(330, 480, 385, 535, 387, 537)(331, 481, 388, 538, 376, 526)(334, 484, 390, 540, 355, 505)(336, 486, 394, 544, 395, 545)(338, 488, 399, 549, 400, 550)(340, 490, 403, 553, 404, 554)(344, 494, 408, 558, 409, 559)(345, 495, 410, 560, 398, 548)(347, 497, 380, 530, 407, 557)(350, 500, 418, 568, 377, 527)(351, 501, 419, 569, 416, 566)(353, 503, 422, 572, 424, 574)(357, 507, 428, 578, 429, 579)(360, 510, 430, 580, 431, 581)(361, 511, 423, 573, 397, 547)(362, 512, 432, 582, 405, 555)(363, 513, 421, 571, 433, 583)(364, 514, 427, 577, 435, 585)(368, 518, 406, 556, 438, 588)(374, 524, 393, 543, 441, 591)(375, 525, 391, 541, 439, 589)(381, 531, 443, 593, 442, 592)(383, 533, 396, 546, 414, 564)(386, 536, 445, 595, 411, 561)(389, 539, 446, 596, 415, 565)(392, 542, 444, 594, 412, 562)(401, 551, 450, 600, 426, 576)(402, 552, 447, 597, 413, 563)(417, 567, 420, 570, 437, 587)(425, 575, 434, 584, 448, 598)(436, 586, 440, 590, 449, 599)
	L = (1, 304)(2, 308)(3, 312)(4, 315)(5, 318)(6, 301)(7, 324)(8, 327)(9, 330)(10, 302)(11, 336)(12, 340)(13, 303)(14, 346)(15, 322)(16, 342)(17, 353)(18, 357)(19, 305)(20, 362)(21, 364)(22, 306)(23, 368)(24, 361)(25, 307)(26, 376)(27, 334)(28, 372)(29, 383)(30, 386)(31, 309)(32, 338)(33, 363)(34, 310)(35, 392)(36, 387)(37, 397)(38, 311)(39, 321)(40, 344)(41, 359)(42, 406)(43, 407)(44, 313)(45, 411)(46, 413)(47, 314)(48, 416)(49, 380)(50, 393)(51, 316)(52, 421)(53, 423)(54, 378)(55, 317)(56, 343)(57, 360)(58, 320)(59, 419)(60, 319)(61, 374)(62, 323)(63, 401)(64, 434)(65, 437)(66, 329)(67, 417)(68, 358)(69, 404)(70, 333)(71, 388)(72, 394)(73, 418)(74, 325)(75, 429)(76, 436)(77, 326)(78, 442)(79, 350)(80, 408)(81, 328)(82, 427)(83, 403)(84, 348)(85, 373)(86, 389)(87, 332)(88, 443)(89, 331)(90, 412)(91, 351)(92, 379)(93, 335)(94, 410)(95, 441)(96, 448)(97, 449)(98, 337)(99, 355)(100, 371)(101, 440)(102, 339)(103, 432)(104, 447)(105, 341)(106, 391)(107, 382)(108, 367)(109, 396)(110, 381)(111, 433)(112, 345)(113, 414)(114, 347)(115, 426)(116, 431)(117, 349)(118, 352)(119, 420)(120, 405)(121, 385)(122, 450)(123, 399)(124, 377)(125, 384)(126, 354)(127, 356)(128, 438)(129, 435)(130, 439)(131, 425)(132, 366)(133, 390)(134, 402)(135, 365)(136, 424)(137, 375)(138, 409)(139, 369)(140, 370)(141, 422)(142, 415)(143, 444)(144, 400)(145, 395)(146, 398)(147, 430)(148, 428)(149, 446)(150, 445)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E26.1350
Graph:: simple bipartite
	v = 125 e = 300 f = 125
	degree seq :: [ 4^75, 6^50 ]

E26.1349 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C5 x C5) : C3) : C2 (small group id <150, 6>)
Aut   = (((C5 x C5) : C3) : C2) : C2 (small group id <300, 25>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y1 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3^5, Y1 * Y2 * Y1 * Y3 * Y2^-1 * Y3^-1, Y1 * Y3 * Y2 * Y1 * Y3 * Y2^-1, (Y3 * Y2)^3, (Y3 * Y2^-1)^3, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y3^2, (Y3^-1 * Y2^-1 * Y1 * Y2)^2, Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^2 * Y1 * Y2^-1 * Y1, Y2 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y1 * Y2^-1 * Y3^-1, Y2 * Y3 * Y1 * Y2 * Y3^2 * Y1 * Y2 * Y3^2 ]
Map:: polytopal non-degenerate
	R = (1, 151, 2, 152)(3, 153, 11, 161)(4, 154, 10, 160)(5, 155, 17, 167)(6, 156, 8, 158)(7, 157, 23, 173)(9, 159, 29, 179)(12, 162, 37, 187)(13, 163, 26, 176)(14, 164, 25, 175)(15, 165, 34, 184)(16, 166, 31, 181)(18, 168, 49, 199)(19, 169, 28, 178)(20, 170, 55, 205)(21, 171, 57, 207)(22, 172, 27, 177)(24, 174, 63, 213)(30, 180, 75, 225)(32, 182, 81, 231)(33, 183, 83, 233)(35, 185, 87, 237)(36, 186, 89, 239)(38, 188, 72, 222)(39, 189, 93, 243)(40, 190, 68, 218)(41, 191, 80, 230)(42, 192, 66, 216)(43, 193, 70, 220)(44, 194, 69, 219)(45, 195, 78, 228)(46, 196, 64, 214)(47, 197, 100, 250)(48, 198, 102, 252)(50, 200, 79, 229)(51, 201, 106, 256)(52, 202, 71, 221)(53, 203, 76, 226)(54, 204, 67, 217)(56, 206, 112, 262)(58, 208, 116, 266)(59, 209, 119, 269)(60, 210, 121, 271)(61, 211, 123, 273)(62, 212, 124, 274)(65, 215, 99, 249)(73, 223, 131, 281)(74, 224, 133, 283)(77, 227, 96, 246)(82, 232, 139, 289)(84, 234, 141, 291)(85, 235, 118, 268)(86, 236, 113, 263)(88, 238, 117, 267)(90, 240, 132, 282)(91, 241, 126, 276)(92, 242, 144, 294)(94, 244, 111, 261)(95, 245, 130, 280)(97, 247, 142, 292)(98, 248, 129, 279)(101, 251, 125, 275)(103, 253, 114, 264)(104, 254, 148, 298)(105, 255, 135, 285)(107, 257, 138, 288)(108, 258, 115, 265)(109, 259, 136, 286)(110, 260, 140, 290)(120, 270, 137, 287)(122, 272, 128, 278)(127, 277, 149, 299)(134, 284, 145, 295)(143, 293, 150, 300)(146, 296, 147, 297)(301, 451, 303, 453, 305, 455)(302, 452, 307, 457, 309, 459)(304, 454, 314, 464, 316, 466)(306, 456, 320, 470, 321, 471)(308, 458, 326, 476, 328, 478)(310, 460, 332, 482, 333, 483)(311, 461, 335, 485, 336, 486)(312, 462, 338, 488, 340, 490)(313, 463, 341, 491, 342, 492)(315, 465, 345, 495, 346, 496)(317, 467, 347, 497, 348, 498)(318, 468, 350, 500, 352, 502)(319, 469, 353, 503, 344, 494)(322, 472, 359, 509, 360, 510)(323, 473, 361, 511, 362, 512)(324, 474, 364, 514, 366, 516)(325, 475, 367, 517, 368, 518)(327, 477, 371, 521, 372, 522)(329, 479, 373, 523, 374, 524)(330, 480, 376, 526, 378, 528)(331, 481, 379, 529, 370, 520)(334, 484, 385, 535, 386, 536)(337, 487, 391, 541, 392, 542)(339, 489, 394, 544, 395, 545)(343, 493, 397, 547, 398, 548)(349, 499, 404, 554, 405, 555)(351, 501, 407, 557, 408, 558)(354, 504, 409, 559, 410, 560)(355, 505, 411, 561, 390, 540)(356, 506, 413, 563, 389, 539)(357, 507, 401, 551, 415, 565)(358, 508, 400, 550, 418, 568)(363, 513, 426, 576, 427, 577)(365, 515, 428, 578, 429, 579)(369, 519, 388, 538, 430, 580)(375, 525, 434, 584, 435, 585)(377, 527, 436, 586, 437, 587)(380, 530, 438, 588, 403, 553)(381, 531, 422, 572, 425, 575)(382, 532, 421, 571, 424, 574)(383, 533, 432, 582, 420, 570)(384, 534, 431, 581, 419, 569)(387, 537, 443, 593, 399, 549)(393, 543, 423, 573, 446, 596)(396, 546, 447, 597, 402, 552)(406, 556, 450, 600, 433, 583)(412, 562, 442, 592, 445, 595)(414, 564, 441, 591, 444, 594)(416, 566, 449, 599, 440, 590)(417, 567, 448, 598, 439, 589)
	L = (1, 304)(2, 308)(3, 312)(4, 315)(5, 318)(6, 301)(7, 324)(8, 327)(9, 330)(10, 302)(11, 326)(12, 339)(13, 303)(14, 344)(15, 322)(16, 341)(17, 328)(18, 351)(19, 305)(20, 356)(21, 358)(22, 306)(23, 314)(24, 365)(25, 307)(26, 370)(27, 334)(28, 367)(29, 316)(30, 377)(31, 309)(32, 382)(33, 384)(34, 310)(35, 388)(36, 390)(37, 311)(38, 321)(39, 343)(40, 353)(41, 396)(42, 362)(43, 313)(44, 399)(45, 374)(46, 361)(47, 401)(48, 403)(49, 317)(50, 342)(51, 354)(52, 320)(53, 373)(54, 319)(55, 371)(56, 414)(57, 372)(58, 417)(59, 420)(60, 422)(61, 397)(62, 425)(63, 323)(64, 333)(65, 369)(66, 379)(67, 406)(68, 336)(69, 325)(70, 393)(71, 348)(72, 335)(73, 432)(74, 410)(75, 329)(76, 368)(77, 380)(78, 332)(79, 347)(80, 331)(81, 345)(82, 440)(83, 346)(84, 442)(85, 415)(86, 411)(87, 338)(88, 416)(89, 340)(90, 431)(91, 428)(92, 445)(93, 337)(94, 413)(95, 443)(96, 375)(97, 441)(98, 427)(99, 363)(100, 350)(101, 424)(102, 352)(103, 412)(104, 449)(105, 437)(106, 349)(107, 447)(108, 418)(109, 434)(110, 439)(111, 391)(112, 355)(113, 360)(114, 402)(115, 405)(116, 357)(117, 387)(118, 359)(119, 385)(120, 435)(121, 386)(122, 426)(123, 364)(124, 366)(125, 400)(126, 394)(127, 448)(128, 421)(129, 446)(130, 392)(131, 376)(132, 389)(133, 378)(134, 444)(135, 408)(136, 450)(137, 419)(138, 404)(139, 381)(140, 433)(141, 383)(142, 423)(143, 409)(144, 395)(145, 436)(146, 438)(147, 398)(148, 407)(149, 429)(150, 430)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E26.1347
Graph:: simple bipartite
	v = 125 e = 300 f = 125
	degree seq :: [ 4^75, 6^50 ]

E26.1350 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C5 x C5) : C3) : C2 (small group id <150, 6>)
Aut   = (((C5 x C5) : C3) : C2) : C2 (small group id <300, 25>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y1 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3^5, Y2^-1 * Y3^-2 * Y1 * Y2 * Y1, (Y3^-1 * Y2)^3, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3^-1)^3, (Y1 * Y2 * Y3^-1 * Y2^-1)^2, Y1 * Y2 * Y3^-1 * R * Y2^-1 * Y1 * R * Y3 * Y2, Y2 * Y3 * Y1 * Y2^-1 * Y3^2 * Y2^-1 * Y3^-1 * Y2 * Y1 ]
Map:: polyhedral non-degenerate
	R = (1, 151, 2, 152)(3, 153, 11, 161)(4, 154, 10, 160)(5, 155, 17, 167)(6, 156, 8, 158)(7, 157, 23, 173)(9, 159, 29, 179)(12, 162, 37, 187)(13, 163, 36, 186)(14, 164, 26, 176)(15, 165, 34, 184)(16, 166, 47, 197)(18, 168, 51, 201)(19, 169, 31, 181)(20, 170, 56, 206)(21, 171, 58, 208)(22, 172, 27, 177)(24, 174, 63, 213)(25, 175, 62, 212)(28, 178, 72, 222)(30, 180, 53, 203)(32, 182, 60, 210)(33, 183, 80, 230)(35, 185, 83, 233)(38, 188, 73, 223)(39, 189, 89, 239)(40, 190, 68, 218)(41, 191, 92, 242)(42, 192, 66, 216)(43, 193, 50, 200)(44, 194, 71, 221)(45, 195, 70, 220)(46, 196, 100, 250)(48, 198, 64, 214)(49, 199, 105, 255)(52, 202, 78, 228)(54, 204, 111, 261)(55, 205, 76, 226)(57, 207, 113, 263)(59, 209, 117, 267)(61, 211, 121, 271)(65, 215, 124, 274)(67, 217, 118, 268)(69, 219, 75, 225)(74, 224, 107, 257)(77, 227, 120, 270)(79, 229, 119, 269)(81, 231, 93, 243)(82, 232, 138, 288)(84, 234, 139, 289)(85, 235, 114, 264)(86, 236, 109, 259)(87, 237, 95, 245)(88, 238, 142, 292)(90, 240, 129, 279)(91, 241, 127, 277)(94, 244, 126, 276)(96, 246, 125, 275)(97, 247, 130, 280)(98, 248, 141, 291)(99, 249, 103, 253)(101, 251, 135, 285)(102, 252, 145, 295)(104, 254, 133, 283)(106, 256, 147, 297)(108, 258, 115, 265)(110, 260, 136, 286)(112, 262, 116, 266)(122, 272, 128, 278)(123, 273, 140, 290)(131, 281, 149, 299)(132, 282, 143, 293)(134, 284, 137, 287)(144, 294, 150, 300)(146, 296, 148, 298)(301, 451, 303, 453, 305, 455)(302, 452, 307, 457, 309, 459)(304, 454, 314, 464, 316, 466)(306, 456, 320, 470, 321, 471)(308, 458, 326, 476, 328, 478)(310, 460, 332, 482, 333, 483)(311, 461, 335, 485, 327, 477)(312, 462, 338, 488, 340, 490)(313, 463, 341, 491, 342, 492)(315, 465, 323, 473, 346, 496)(317, 467, 349, 499, 350, 500)(318, 468, 352, 502, 354, 504)(319, 469, 355, 505, 344, 494)(322, 472, 360, 510, 361, 511)(324, 474, 364, 514, 366, 516)(325, 475, 367, 517, 368, 518)(329, 479, 374, 524, 375, 525)(330, 480, 376, 526, 377, 527)(331, 481, 378, 528, 370, 520)(334, 484, 356, 506, 382, 532)(336, 486, 373, 523, 386, 536)(337, 487, 387, 537, 388, 538)(339, 489, 383, 533, 390, 540)(343, 493, 395, 545, 396, 546)(345, 495, 398, 548, 394, 544)(347, 497, 402, 552, 403, 553)(348, 498, 404, 554, 362, 512)(351, 501, 407, 557, 408, 558)(353, 503, 405, 555, 410, 560)(357, 507, 414, 564, 391, 541)(358, 508, 406, 556, 416, 566)(359, 509, 409, 559, 419, 569)(363, 513, 422, 572, 423, 573)(365, 515, 400, 550, 425, 575)(369, 519, 428, 578, 429, 579)(371, 521, 384, 534, 427, 577)(372, 522, 431, 581, 397, 547)(379, 529, 435, 585, 426, 576)(380, 530, 432, 582, 437, 587)(381, 531, 433, 583, 413, 563)(385, 535, 440, 590, 411, 561)(389, 539, 392, 542, 443, 593)(393, 543, 445, 595, 412, 562)(399, 549, 439, 589, 446, 596)(401, 551, 442, 592, 420, 570)(415, 565, 438, 588, 444, 594)(417, 567, 449, 599, 434, 584)(418, 568, 447, 597, 424, 574)(421, 571, 448, 598, 436, 586)(430, 580, 441, 591, 450, 600)
	L = (1, 304)(2, 308)(3, 312)(4, 315)(5, 318)(6, 301)(7, 324)(8, 327)(9, 330)(10, 302)(11, 336)(12, 339)(13, 303)(14, 344)(15, 322)(16, 341)(17, 331)(18, 353)(19, 305)(20, 357)(21, 359)(22, 306)(23, 362)(24, 365)(25, 307)(26, 370)(27, 334)(28, 367)(29, 319)(30, 351)(31, 309)(32, 379)(33, 381)(34, 310)(35, 384)(36, 350)(37, 311)(38, 321)(39, 343)(40, 355)(41, 393)(42, 394)(43, 313)(44, 397)(45, 314)(46, 398)(47, 364)(48, 316)(49, 406)(50, 389)(51, 317)(52, 342)(53, 329)(54, 320)(55, 404)(56, 411)(57, 415)(58, 373)(59, 418)(60, 420)(61, 422)(62, 375)(63, 323)(64, 333)(65, 369)(66, 378)(67, 417)(68, 427)(69, 325)(70, 403)(71, 326)(72, 338)(73, 328)(74, 432)(75, 424)(76, 368)(77, 332)(78, 386)(79, 436)(80, 348)(81, 392)(82, 387)(83, 414)(84, 428)(85, 335)(86, 440)(87, 441)(88, 433)(89, 337)(90, 431)(91, 340)(92, 347)(93, 380)(94, 423)(95, 438)(96, 446)(97, 399)(98, 395)(99, 345)(100, 435)(101, 346)(102, 349)(103, 430)(104, 442)(105, 445)(106, 448)(107, 449)(108, 413)(109, 352)(110, 419)(111, 416)(112, 354)(113, 356)(114, 361)(115, 412)(116, 408)(117, 358)(118, 372)(119, 360)(120, 437)(121, 385)(122, 439)(123, 409)(124, 363)(125, 402)(126, 366)(127, 388)(128, 421)(129, 450)(130, 371)(131, 374)(132, 444)(133, 376)(134, 377)(135, 382)(136, 434)(137, 410)(138, 401)(139, 383)(140, 426)(141, 400)(142, 391)(143, 407)(144, 390)(145, 396)(146, 447)(147, 405)(148, 425)(149, 429)(150, 443)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E26.1348
Graph:: simple bipartite
	v = 125 e = 300 f = 125
	degree seq :: [ 4^75, 6^50 ]

E26.1351 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C5 x C5) : C3) : C2 (small group id <150, 6>)
Aut   = (((C5 x C5) : C3) : C2) : C2 (small group id <300, 25>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y3^5, (Y3 * Y2^-1)^3, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2^-1)^3, (Y3 * Y2^-1)^3, Y1 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y3^2, Y1 * Y2 * Y3 * Y1 * Y2^-1 * Y3^2, Y2 * Y1 * Y3^2 * Y2 * Y1 * Y2 * Y3, R * Y3 * Y1 * Y2 * R * Y2^-1 * Y1 * Y2^-1, (Y2^-1 * Y3^-1 * Y2 * Y1)^2, (Y2^-1 * Y1 * Y2 * Y3^-1)^2, (R * Y2 * Y1 * Y2^-1)^2, Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^2 * Y2 * Y3^-1, Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 151, 2, 152)(3, 153, 11, 161)(4, 154, 10, 160)(5, 155, 17, 167)(6, 156, 8, 158)(7, 157, 23, 173)(9, 159, 29, 179)(12, 162, 38, 188)(13, 163, 36, 186)(14, 164, 45, 195)(15, 165, 34, 184)(16, 166, 50, 200)(18, 168, 55, 205)(19, 169, 53, 203)(20, 170, 61, 211)(21, 171, 63, 213)(22, 172, 27, 177)(24, 174, 65, 215)(25, 175, 68, 218)(26, 176, 76, 226)(28, 178, 81, 231)(30, 180, 64, 214)(31, 181, 84, 234)(32, 182, 62, 212)(33, 183, 57, 207)(35, 185, 91, 241)(37, 187, 96, 246)(39, 189, 89, 239)(40, 190, 99, 249)(41, 191, 74, 224)(42, 192, 103, 253)(43, 193, 72, 222)(44, 194, 94, 244)(46, 196, 79, 229)(47, 197, 108, 258)(48, 198, 77, 227)(49, 199, 113, 263)(51, 201, 115, 265)(52, 202, 119, 269)(54, 204, 111, 261)(56, 206, 88, 238)(58, 208, 128, 278)(59, 209, 86, 236)(60, 210, 70, 220)(66, 216, 136, 286)(67, 217, 92, 242)(69, 219, 138, 288)(71, 221, 135, 285)(73, 223, 137, 287)(75, 225, 127, 277)(78, 228, 131, 281)(80, 230, 106, 256)(82, 232, 100, 250)(83, 233, 95, 245)(85, 235, 116, 266)(87, 237, 134, 284)(90, 240, 104, 254)(93, 243, 133, 283)(97, 247, 105, 255)(98, 248, 125, 275)(101, 251, 141, 291)(102, 252, 140, 290)(107, 257, 139, 289)(109, 259, 123, 273)(110, 260, 142, 292)(112, 262, 122, 272)(114, 264, 147, 297)(117, 267, 124, 274)(118, 268, 132, 282)(120, 270, 130, 280)(121, 271, 149, 299)(126, 276, 146, 296)(129, 279, 145, 295)(143, 293, 148, 298)(144, 294, 150, 300)(301, 451, 303, 453, 305, 455)(302, 452, 307, 457, 309, 459)(304, 454, 314, 464, 316, 466)(306, 456, 320, 470, 321, 471)(308, 458, 326, 476, 328, 478)(310, 460, 332, 482, 333, 483)(311, 461, 335, 485, 337, 487)(312, 462, 339, 489, 341, 491)(313, 463, 342, 492, 343, 493)(315, 465, 348, 498, 349, 499)(317, 467, 352, 502, 354, 504)(318, 468, 356, 506, 358, 508)(319, 469, 359, 509, 346, 496)(322, 472, 365, 515, 366, 516)(323, 473, 367, 517, 369, 519)(324, 474, 370, 520, 372, 522)(325, 475, 373, 523, 374, 524)(327, 477, 379, 529, 380, 530)(329, 479, 383, 533, 385, 535)(330, 480, 386, 536, 387, 537)(331, 481, 388, 538, 377, 527)(334, 484, 338, 488, 390, 540)(336, 486, 393, 543, 395, 545)(340, 490, 400, 550, 401, 551)(344, 494, 406, 556, 407, 557)(345, 495, 382, 532, 398, 548)(347, 497, 410, 560, 405, 555)(350, 500, 414, 564, 416, 566)(351, 501, 417, 567, 376, 526)(353, 503, 421, 571, 422, 572)(355, 505, 424, 574, 399, 549)(357, 507, 426, 576, 427, 577)(360, 510, 430, 580, 431, 581)(361, 511, 432, 582, 397, 547)(362, 512, 433, 583, 402, 552)(363, 513, 420, 570, 394, 544)(364, 514, 425, 575, 435, 585)(368, 518, 418, 568, 419, 569)(371, 521, 415, 565, 439, 589)(375, 525, 413, 563, 441, 591)(378, 528, 442, 592, 440, 590)(381, 531, 443, 593, 411, 561)(384, 534, 444, 594, 409, 559)(389, 539, 446, 596, 408, 558)(391, 541, 447, 597, 434, 584)(392, 542, 448, 598, 428, 578)(396, 546, 412, 562, 437, 587)(403, 553, 438, 588, 423, 573)(404, 554, 449, 599, 429, 579)(436, 586, 450, 600, 445, 595)
	L = (1, 304)(2, 308)(3, 312)(4, 315)(5, 318)(6, 301)(7, 324)(8, 327)(9, 330)(10, 302)(11, 336)(12, 340)(13, 303)(14, 346)(15, 322)(16, 342)(17, 353)(18, 357)(19, 305)(20, 362)(21, 364)(22, 306)(23, 368)(24, 371)(25, 307)(26, 377)(27, 334)(28, 373)(29, 384)(30, 363)(31, 309)(32, 361)(33, 355)(34, 310)(35, 380)(36, 394)(37, 397)(38, 311)(39, 321)(40, 344)(41, 359)(42, 404)(43, 405)(44, 313)(45, 408)(46, 409)(47, 314)(48, 376)(49, 410)(50, 415)(51, 316)(52, 420)(53, 370)(54, 423)(55, 317)(56, 343)(57, 360)(58, 320)(59, 417)(60, 319)(61, 428)(62, 434)(63, 389)(64, 329)(65, 323)(66, 437)(67, 349)(68, 427)(69, 402)(70, 333)(71, 375)(72, 388)(73, 436)(74, 440)(75, 325)(76, 431)(77, 422)(78, 326)(79, 345)(80, 442)(81, 400)(82, 328)(83, 426)(84, 339)(85, 412)(86, 374)(87, 332)(88, 398)(89, 331)(90, 403)(91, 367)(92, 335)(93, 382)(94, 399)(95, 448)(96, 425)(97, 372)(98, 337)(99, 338)(100, 433)(101, 444)(102, 341)(103, 350)(104, 418)(105, 396)(106, 391)(107, 443)(108, 354)(109, 411)(110, 406)(111, 347)(112, 348)(113, 392)(114, 352)(115, 432)(116, 378)(117, 369)(118, 351)(119, 447)(120, 450)(121, 446)(122, 416)(123, 379)(124, 386)(125, 356)(126, 449)(127, 435)(128, 445)(129, 358)(130, 419)(131, 385)(132, 390)(133, 366)(134, 429)(135, 365)(136, 393)(137, 381)(138, 424)(139, 421)(140, 438)(141, 414)(142, 413)(143, 383)(144, 430)(145, 387)(146, 395)(147, 401)(148, 439)(149, 407)(150, 441)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 125 e = 300 f = 125
	degree seq :: [ 4^75, 6^50 ]

E26.1352 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C5 x C5) : C3) : C2 (small group id <150, 5>)
Aut   = C2 x (((C5 x C5) : C3) : C2) (small group id <300, 26>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3^-2 * Y1, Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y3, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3^-1 * Y2^-1 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y3^-2 * Y1, (Y3^-1 * Y2^-1)^5, Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 151, 2, 152)(3, 153, 11, 161)(4, 154, 10, 160)(5, 155, 16, 166)(6, 156, 8, 158)(7, 157, 21, 171)(9, 159, 26, 176)(12, 162, 33, 183)(13, 163, 25, 175)(14, 164, 28, 178)(15, 165, 23, 173)(17, 167, 41, 191)(18, 168, 24, 174)(19, 169, 46, 196)(20, 170, 48, 198)(22, 172, 36, 186)(27, 177, 38, 188)(29, 179, 50, 200)(30, 180, 43, 193)(31, 181, 61, 211)(32, 182, 64, 214)(34, 184, 66, 216)(35, 185, 63, 213)(37, 187, 68, 218)(39, 189, 47, 197)(40, 190, 73, 223)(42, 192, 75, 225)(44, 194, 62, 212)(45, 195, 78, 228)(49, 199, 60, 210)(51, 201, 87, 237)(52, 202, 89, 239)(53, 203, 91, 241)(54, 204, 72, 222)(55, 205, 70, 220)(56, 206, 94, 244)(57, 207, 96, 246)(58, 208, 88, 238)(59, 209, 98, 248)(65, 215, 67, 217)(69, 219, 93, 243)(71, 221, 100, 250)(74, 224, 77, 227)(76, 226, 80, 230)(79, 229, 119, 269)(81, 231, 123, 273)(82, 232, 121, 271)(83, 233, 125, 275)(84, 234, 102, 252)(85, 235, 124, 274)(86, 236, 127, 277)(90, 240, 92, 242)(95, 245, 97, 247)(99, 249, 114, 264)(101, 251, 111, 261)(103, 253, 141, 291)(104, 254, 140, 290)(105, 255, 131, 281)(106, 256, 112, 262)(107, 257, 139, 289)(108, 258, 143, 293)(109, 259, 142, 292)(110, 260, 128, 278)(113, 263, 145, 295)(115, 265, 147, 297)(116, 266, 137, 287)(117, 267, 126, 276)(118, 268, 146, 296)(120, 270, 133, 283)(122, 272, 130, 280)(129, 279, 149, 299)(132, 282, 135, 285)(134, 284, 150, 300)(136, 286, 148, 298)(138, 288, 144, 294)(301, 451, 303, 453, 305, 455)(302, 452, 307, 457, 309, 459)(304, 454, 314, 464, 315, 465)(306, 456, 319, 469, 320, 470)(308, 458, 324, 474, 325, 475)(310, 460, 329, 479, 330, 480)(311, 461, 331, 481, 332, 482)(312, 462, 334, 484, 335, 485)(313, 463, 336, 486, 337, 487)(316, 466, 339, 489, 340, 490)(317, 467, 342, 492, 343, 493)(318, 468, 344, 494, 345, 495)(321, 471, 351, 501, 352, 502)(322, 472, 353, 503, 354, 504)(323, 473, 333, 483, 355, 505)(326, 476, 349, 499, 356, 506)(327, 477, 357, 507, 348, 498)(328, 478, 358, 508, 359, 509)(338, 488, 371, 521, 372, 522)(341, 491, 376, 526, 363, 513)(346, 496, 381, 531, 382, 532)(347, 497, 383, 533, 384, 534)(350, 500, 385, 535, 386, 536)(360, 510, 401, 551, 402, 552)(361, 511, 403, 553, 404, 554)(362, 512, 405, 555, 406, 556)(364, 514, 369, 519, 407, 557)(365, 515, 408, 558, 368, 518)(366, 516, 409, 559, 410, 560)(367, 517, 411, 561, 412, 562)(370, 520, 390, 540, 413, 563)(373, 523, 379, 529, 415, 565)(374, 524, 416, 566, 378, 528)(375, 525, 417, 567, 418, 568)(377, 527, 420, 570, 421, 571)(380, 530, 422, 572, 414, 564)(387, 537, 429, 579, 430, 580)(388, 538, 431, 581, 432, 582)(389, 539, 393, 543, 433, 583)(391, 541, 434, 584, 426, 576)(392, 542, 425, 575, 435, 585)(394, 544, 399, 549, 436, 586)(395, 545, 437, 587, 398, 548)(396, 546, 428, 578, 438, 588)(397, 547, 439, 589, 427, 577)(400, 550, 440, 590, 419, 569)(423, 573, 449, 599, 442, 592)(424, 574, 441, 591, 450, 600)(443, 593, 446, 596, 448, 598)(444, 594, 447, 597, 445, 595)
	L = (1, 304)(2, 308)(3, 312)(4, 306)(5, 317)(6, 301)(7, 322)(8, 310)(9, 327)(10, 302)(11, 325)(12, 313)(13, 303)(14, 338)(15, 336)(16, 324)(17, 318)(18, 305)(19, 347)(20, 349)(21, 315)(22, 323)(23, 307)(24, 341)(25, 333)(26, 314)(27, 328)(28, 309)(29, 360)(30, 339)(31, 362)(32, 365)(33, 311)(34, 367)(35, 344)(36, 321)(37, 369)(38, 326)(39, 346)(40, 374)(41, 316)(42, 377)(43, 319)(44, 361)(45, 379)(46, 330)(47, 343)(48, 329)(49, 350)(50, 320)(51, 388)(52, 390)(53, 392)(54, 358)(55, 393)(56, 395)(57, 397)(58, 387)(59, 399)(60, 348)(61, 335)(62, 363)(63, 331)(64, 334)(65, 366)(66, 332)(67, 364)(68, 355)(69, 370)(70, 337)(71, 414)(72, 351)(73, 342)(74, 375)(75, 340)(76, 419)(77, 373)(78, 376)(79, 380)(80, 345)(81, 424)(82, 417)(83, 426)(84, 385)(85, 423)(86, 428)(87, 354)(88, 372)(89, 353)(90, 391)(91, 352)(92, 389)(93, 368)(94, 357)(95, 396)(96, 356)(97, 394)(98, 371)(99, 400)(100, 359)(101, 410)(102, 381)(103, 442)(104, 422)(105, 430)(106, 409)(107, 438)(108, 444)(109, 441)(110, 427)(111, 386)(112, 403)(113, 446)(114, 398)(115, 448)(116, 436)(117, 425)(118, 445)(119, 378)(120, 413)(121, 383)(122, 431)(123, 384)(124, 402)(125, 382)(126, 421)(127, 401)(128, 411)(129, 450)(130, 440)(131, 404)(132, 434)(133, 418)(134, 449)(135, 429)(136, 447)(137, 415)(138, 443)(139, 408)(140, 405)(141, 406)(142, 412)(143, 407)(144, 439)(145, 433)(146, 420)(147, 416)(148, 437)(149, 432)(150, 435)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 125 e = 300 f = 125
	degree seq :: [ 4^75, 6^50 ]

E26.1353 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C5 x C5) : C3) : C2 (small group id <150, 5>)
Aut   = C2 x (((C5 x C5) : C3) : C2) (small group id <300, 26>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y1 * Y3^-1)^2, (Y1 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3^5, (Y2^-1 * Y1 * Y3)^2, (Y3 * Y2)^3, (Y1 * Y3 * Y2)^2, (Y3 * Y2^-1)^3, (R * Y2 * Y3^-1)^2, Y3 * Y2^2 * Y1 * Y3 * Y2^-1 * Y1, Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1 * Y2, Y1 * Y3^-1 * Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y3^2, Y2^-1 * Y3 * Y1 * Y2 * Y3^2 * Y1 * Y2^-1 * Y3^2, Y2 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y3^2 ]
Map:: polytopal non-degenerate
	R = (1, 151, 2, 152)(3, 153, 11, 161)(4, 154, 10, 160)(5, 155, 17, 167)(6, 156, 8, 158)(7, 157, 23, 173)(9, 159, 29, 179)(12, 162, 37, 187)(13, 163, 28, 178)(14, 164, 31, 181)(15, 165, 34, 184)(16, 166, 25, 175)(18, 168, 49, 199)(19, 169, 26, 176)(20, 170, 55, 205)(21, 171, 57, 207)(22, 172, 27, 177)(24, 174, 63, 213)(30, 180, 75, 225)(32, 182, 81, 231)(33, 183, 83, 233)(35, 185, 87, 237)(36, 186, 89, 239)(38, 188, 71, 221)(39, 189, 93, 243)(40, 190, 79, 229)(41, 191, 69, 219)(42, 192, 76, 226)(43, 193, 67, 217)(44, 194, 80, 230)(45, 195, 64, 214)(46, 196, 78, 228)(47, 197, 100, 250)(48, 198, 102, 252)(50, 200, 68, 218)(51, 201, 106, 256)(52, 202, 72, 222)(53, 203, 66, 216)(54, 204, 70, 220)(56, 206, 112, 262)(58, 208, 116, 266)(59, 209, 119, 269)(60, 210, 121, 271)(61, 211, 123, 273)(62, 212, 125, 275)(65, 215, 96, 246)(73, 223, 131, 281)(74, 224, 132, 282)(77, 227, 99, 249)(82, 232, 139, 289)(84, 234, 141, 291)(85, 235, 113, 263)(86, 236, 118, 268)(88, 238, 124, 274)(90, 240, 117, 267)(91, 241, 144, 294)(92, 242, 134, 284)(94, 244, 111, 261)(95, 245, 138, 288)(97, 247, 140, 290)(98, 248, 136, 286)(101, 251, 114, 264)(103, 253, 133, 283)(104, 254, 127, 277)(105, 255, 148, 298)(107, 257, 130, 280)(108, 258, 115, 265)(109, 259, 129, 279)(110, 260, 142, 292)(120, 270, 128, 278)(122, 272, 137, 287)(126, 276, 145, 295)(135, 285, 149, 299)(143, 293, 150, 300)(146, 296, 147, 297)(301, 451, 303, 453, 305, 455)(302, 452, 307, 457, 309, 459)(304, 454, 314, 464, 316, 466)(306, 456, 320, 470, 321, 471)(308, 458, 326, 476, 328, 478)(310, 460, 332, 482, 333, 483)(311, 461, 335, 485, 336, 486)(312, 462, 338, 488, 340, 490)(313, 463, 341, 491, 342, 492)(315, 465, 345, 495, 346, 496)(317, 467, 347, 497, 348, 498)(318, 468, 350, 500, 352, 502)(319, 469, 353, 503, 344, 494)(322, 472, 359, 509, 360, 510)(323, 473, 361, 511, 362, 512)(324, 474, 364, 514, 366, 516)(325, 475, 367, 517, 368, 518)(327, 477, 371, 521, 372, 522)(329, 479, 373, 523, 374, 524)(330, 480, 376, 526, 378, 528)(331, 481, 379, 529, 370, 520)(334, 484, 385, 535, 386, 536)(337, 487, 391, 541, 392, 542)(339, 489, 394, 544, 395, 545)(343, 493, 397, 547, 398, 548)(349, 499, 404, 554, 405, 555)(351, 501, 407, 557, 408, 558)(354, 504, 409, 559, 410, 560)(355, 505, 388, 538, 411, 561)(356, 506, 413, 563, 387, 537)(357, 507, 415, 565, 403, 553)(358, 508, 402, 552, 418, 568)(363, 513, 426, 576, 427, 577)(365, 515, 428, 578, 429, 579)(369, 519, 401, 551, 430, 580)(375, 525, 434, 584, 435, 585)(377, 527, 436, 586, 437, 587)(380, 530, 438, 588, 390, 540)(381, 531, 424, 574, 420, 570)(382, 532, 419, 569, 423, 573)(383, 533, 422, 572, 433, 583)(384, 534, 432, 582, 421, 571)(389, 539, 443, 593, 399, 549)(393, 543, 446, 596, 431, 581)(396, 546, 447, 597, 400, 550)(406, 556, 425, 575, 450, 600)(412, 562, 445, 595, 440, 590)(414, 564, 439, 589, 444, 594)(416, 566, 442, 592, 449, 599)(417, 567, 448, 598, 441, 591)
	L = (1, 304)(2, 308)(3, 312)(4, 315)(5, 318)(6, 301)(7, 324)(8, 327)(9, 330)(10, 302)(11, 328)(12, 339)(13, 303)(14, 344)(15, 322)(16, 341)(17, 326)(18, 351)(19, 305)(20, 356)(21, 358)(22, 306)(23, 316)(24, 365)(25, 307)(26, 370)(27, 334)(28, 367)(29, 314)(30, 377)(31, 309)(32, 382)(33, 384)(34, 310)(35, 388)(36, 390)(37, 311)(38, 321)(39, 343)(40, 353)(41, 396)(42, 374)(43, 313)(44, 399)(45, 362)(46, 373)(47, 401)(48, 403)(49, 317)(50, 342)(51, 354)(52, 320)(53, 361)(54, 319)(55, 372)(56, 414)(57, 371)(58, 417)(59, 420)(60, 422)(61, 424)(62, 410)(63, 323)(64, 333)(65, 369)(66, 379)(67, 393)(68, 348)(69, 325)(70, 406)(71, 336)(72, 347)(73, 397)(74, 433)(75, 329)(76, 368)(77, 380)(78, 332)(79, 335)(80, 331)(81, 346)(82, 440)(83, 345)(84, 442)(85, 411)(86, 415)(87, 340)(88, 423)(89, 338)(90, 416)(91, 445)(92, 437)(93, 337)(94, 413)(95, 443)(96, 363)(97, 439)(98, 435)(99, 375)(100, 352)(101, 412)(102, 350)(103, 432)(104, 428)(105, 449)(106, 349)(107, 447)(108, 418)(109, 426)(110, 441)(111, 392)(112, 355)(113, 360)(114, 400)(115, 404)(116, 357)(117, 389)(118, 359)(119, 386)(120, 427)(121, 385)(122, 434)(123, 366)(124, 387)(125, 364)(126, 444)(127, 408)(128, 419)(129, 450)(130, 405)(131, 378)(132, 376)(133, 402)(134, 394)(135, 448)(136, 446)(137, 421)(138, 391)(139, 381)(140, 431)(141, 383)(142, 425)(143, 409)(144, 395)(145, 429)(146, 430)(147, 398)(148, 407)(149, 436)(150, 438)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 125 e = 300 f = 125
	degree seq :: [ 4^75, 6^50 ]

E26.1354 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C5 x C5) : C3) : C2 (small group id <150, 6>)
Aut   = (((C5 x C5) : C3) : C2) : C2 (small group id <300, 25>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y2 * Y3^2, Y1^3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, (R * Y2)^2, (Y3 * Y2^-1)^2, (Y1 * Y2^-1)^3, Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1, (Y1^-1 * Y2^-1)^5 ]
Map:: polytopal non-degenerate
	R = (1, 151, 2, 152, 5, 155)(3, 153, 12, 162, 13, 163)(4, 154, 15, 165, 16, 166)(6, 156, 20, 170, 21, 171)(7, 157, 22, 172, 9, 159)(8, 158, 23, 173, 24, 174)(10, 160, 26, 176, 27, 177)(11, 161, 28, 178, 18, 168)(14, 164, 35, 185, 30, 180)(17, 167, 40, 190, 38, 188)(19, 169, 41, 191, 42, 192)(25, 175, 54, 204, 49, 199)(29, 179, 59, 209, 60, 210)(31, 181, 44, 194, 62, 212)(32, 182, 63, 213, 33, 183)(34, 184, 64, 214, 65, 215)(36, 186, 67, 217, 68, 218)(37, 187, 69, 219, 45, 195)(39, 189, 70, 220, 71, 221)(43, 193, 77, 227, 78, 228)(46, 196, 79, 229, 80, 230)(47, 197, 81, 231, 56, 206)(48, 198, 82, 232, 83, 233)(50, 200, 55, 205, 85, 235)(51, 201, 86, 236, 52, 202)(53, 203, 87, 237, 88, 238)(57, 207, 90, 240, 91, 241)(58, 208, 92, 242, 75, 225)(61, 211, 99, 249, 94, 244)(66, 216, 106, 256, 101, 251)(72, 222, 114, 264, 112, 262)(73, 223, 74, 224, 115, 265)(76, 226, 116, 266, 93, 243)(84, 234, 125, 275, 122, 272)(89, 239, 132, 282, 127, 277)(95, 245, 100, 250, 137, 287)(96, 246, 135, 285, 97, 247)(98, 248, 131, 281, 138, 288)(102, 252, 119, 269, 126, 276)(103, 253, 140, 290, 104, 254)(105, 255, 141, 291, 117, 267)(107, 257, 136, 286, 142, 292)(108, 258, 143, 293, 144, 294)(109, 259, 123, 273, 120, 270)(110, 260, 111, 261, 145, 295)(113, 263, 134, 284, 121, 271)(118, 268, 147, 297, 124, 274)(128, 278, 133, 283, 146, 296)(129, 279, 149, 299, 130, 280)(139, 289, 148, 298, 150, 300)(301, 451, 303, 453, 306, 456)(302, 452, 308, 458, 310, 460)(304, 454, 307, 457, 314, 464)(305, 455, 317, 467, 319, 469)(309, 459, 311, 461, 325, 475)(312, 462, 329, 479, 331, 481)(313, 463, 326, 476, 334, 484)(315, 465, 336, 486, 318, 468)(316, 466, 337, 487, 339, 489)(320, 470, 343, 493, 338, 488)(321, 471, 344, 494, 346, 496)(322, 472, 347, 497, 333, 483)(323, 473, 348, 498, 350, 500)(324, 474, 341, 491, 353, 503)(327, 477, 355, 505, 357, 507)(328, 478, 358, 508, 352, 502)(330, 480, 332, 482, 361, 511)(335, 485, 366, 516, 345, 495)(340, 490, 372, 522, 373, 523)(342, 492, 374, 524, 376, 526)(349, 499, 351, 501, 384, 534)(354, 504, 389, 539, 356, 506)(359, 509, 393, 543, 395, 545)(360, 510, 364, 514, 398, 548)(362, 512, 400, 550, 402, 552)(363, 513, 403, 553, 397, 547)(365, 515, 390, 540, 405, 555)(367, 517, 407, 557, 375, 525)(368, 518, 370, 520, 408, 558)(369, 519, 409, 559, 410, 560)(371, 521, 411, 561, 413, 563)(377, 527, 417, 567, 412, 562)(378, 528, 379, 529, 418, 568)(380, 530, 419, 569, 382, 532)(381, 531, 421, 571, 404, 554)(383, 533, 387, 537, 424, 574)(385, 535, 426, 576, 428, 578)(386, 536, 429, 579, 423, 573)(388, 538, 416, 566, 431, 581)(391, 541, 433, 583, 414, 564)(392, 542, 435, 585, 430, 580)(394, 544, 396, 546, 436, 586)(399, 549, 439, 589, 401, 551)(406, 556, 422, 572, 420, 570)(415, 565, 446, 596, 437, 587)(425, 575, 448, 598, 427, 577)(432, 582, 444, 594, 434, 584)(438, 588, 441, 591, 447, 597)(440, 590, 445, 595, 449, 599)(442, 592, 443, 593, 450, 600)
	L = (1, 304)(2, 309)(3, 307)(4, 306)(5, 318)(6, 314)(7, 301)(8, 311)(9, 310)(10, 325)(11, 302)(12, 330)(13, 333)(14, 303)(15, 305)(16, 338)(17, 315)(18, 319)(19, 336)(20, 316)(21, 345)(22, 313)(23, 349)(24, 352)(25, 308)(26, 322)(27, 356)(28, 324)(29, 332)(30, 331)(31, 361)(32, 312)(33, 334)(34, 347)(35, 321)(36, 317)(37, 320)(38, 339)(39, 343)(40, 368)(41, 328)(42, 375)(43, 337)(44, 335)(45, 346)(46, 366)(47, 326)(48, 351)(49, 350)(50, 384)(51, 323)(52, 353)(53, 358)(54, 327)(55, 354)(56, 357)(57, 389)(58, 341)(59, 394)(60, 397)(61, 329)(62, 401)(63, 360)(64, 363)(65, 404)(66, 344)(67, 342)(68, 373)(69, 378)(70, 340)(71, 412)(72, 370)(73, 408)(74, 367)(75, 376)(76, 407)(77, 371)(78, 410)(79, 369)(80, 420)(81, 365)(82, 422)(83, 423)(84, 348)(85, 427)(86, 383)(87, 386)(88, 430)(89, 355)(90, 381)(91, 434)(92, 388)(93, 396)(94, 395)(95, 436)(96, 359)(97, 398)(98, 403)(99, 362)(100, 399)(101, 402)(102, 439)(103, 364)(104, 405)(105, 421)(106, 380)(107, 374)(108, 372)(109, 379)(110, 418)(111, 377)(112, 413)(113, 417)(114, 444)(115, 442)(116, 392)(117, 411)(118, 409)(119, 406)(120, 382)(121, 390)(122, 419)(123, 424)(124, 429)(125, 385)(126, 425)(127, 428)(128, 448)(129, 387)(130, 431)(131, 435)(132, 391)(133, 432)(134, 414)(135, 416)(136, 393)(137, 450)(138, 449)(139, 400)(140, 438)(141, 440)(142, 437)(143, 415)(144, 433)(145, 441)(146, 443)(147, 445)(148, 426)(149, 447)(150, 446)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)
	local type(s) :: { ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E26.1343
Graph:: simple bipartite
	v = 100 e = 300 f = 150
	degree seq :: [ 6^100 ]

E26.1355 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = ((C5 x C5) : C3) : C2 (small group id <150, 6>)
Aut   = C2 x (((C5 x C5) : C3) : C2) (small group id <300, 27>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, Y1^2 * Y2^-1, Y2^3, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 151, 4, 154)(2, 152, 5, 155)(3, 153, 6, 156)(7, 157, 13, 163)(8, 158, 14, 164)(9, 159, 15, 165)(10, 160, 16, 166)(11, 161, 17, 167)(12, 162, 18, 168)(19, 169, 31, 181)(20, 170, 32, 182)(21, 171, 33, 183)(22, 172, 34, 184)(23, 173, 35, 185)(24, 174, 36, 186)(25, 175, 37, 187)(26, 176, 38, 188)(27, 177, 39, 189)(28, 178, 40, 190)(29, 179, 41, 191)(30, 180, 42, 192)(43, 193, 58, 208)(44, 194, 59, 209)(45, 195, 60, 210)(46, 196, 61, 211)(47, 197, 62, 212)(48, 198, 63, 213)(49, 199, 64, 214)(50, 200, 65, 215)(51, 201, 66, 216)(52, 202, 67, 217)(53, 203, 68, 218)(54, 204, 69, 219)(55, 205, 70, 220)(56, 206, 71, 221)(57, 207, 72, 222)(73, 223, 94, 244)(74, 224, 95, 245)(75, 225, 96, 246)(76, 226, 97, 247)(77, 227, 98, 248)(78, 228, 99, 249)(79, 229, 100, 250)(80, 230, 101, 251)(81, 231, 102, 252)(82, 232, 103, 253)(83, 233, 104, 254)(84, 234, 105, 255)(85, 235, 106, 256)(86, 236, 107, 257)(87, 237, 108, 258)(88, 238, 109, 259)(89, 239, 110, 260)(90, 240, 111, 261)(91, 241, 112, 262)(92, 242, 113, 263)(93, 243, 114, 264)(115, 265, 130, 280)(116, 266, 131, 281)(117, 267, 132, 282)(118, 268, 133, 283)(119, 269, 134, 284)(120, 270, 135, 285)(121, 271, 136, 286)(122, 272, 137, 287)(123, 273, 138, 288)(124, 274, 139, 289)(125, 275, 140, 290)(126, 276, 141, 291)(127, 277, 142, 292)(128, 278, 143, 293)(129, 279, 144, 294)(145, 295, 148, 298)(146, 296, 149, 299)(147, 297, 150, 300)(301, 302, 303)(304, 307, 308)(305, 309, 310)(306, 311, 312)(313, 319, 320)(314, 321, 322)(315, 323, 324)(316, 325, 326)(317, 327, 328)(318, 329, 330)(331, 342, 343)(332, 344, 345)(333, 346, 347)(334, 348, 335)(336, 349, 350)(337, 351, 352)(338, 353, 339)(340, 354, 355)(341, 356, 357)(358, 373, 374)(359, 375, 376)(360, 377, 361)(362, 378, 379)(363, 380, 381)(364, 382, 383)(365, 384, 366)(367, 385, 386)(368, 387, 388)(369, 389, 390)(370, 391, 371)(372, 392, 393)(394, 414, 415)(395, 416, 396)(397, 406, 417)(398, 418, 419)(399, 420, 411)(400, 421, 401)(402, 422, 403)(404, 413, 423)(405, 424, 425)(407, 426, 408)(409, 427, 410)(412, 428, 429)(430, 437, 445)(431, 446, 441)(432, 440, 433)(434, 443, 435)(436, 442, 447)(438, 444, 439)(448, 450, 449)(451, 453, 452)(454, 458, 457)(455, 460, 459)(456, 462, 461)(463, 470, 469)(464, 472, 471)(465, 474, 473)(466, 476, 475)(467, 478, 477)(468, 480, 479)(481, 493, 492)(482, 495, 494)(483, 497, 496)(484, 485, 498)(486, 500, 499)(487, 502, 501)(488, 489, 503)(490, 505, 504)(491, 507, 506)(508, 524, 523)(509, 526, 525)(510, 511, 527)(512, 529, 528)(513, 531, 530)(514, 533, 532)(515, 516, 534)(517, 536, 535)(518, 538, 537)(519, 540, 539)(520, 521, 541)(522, 543, 542)(544, 565, 564)(545, 546, 566)(547, 567, 556)(548, 569, 568)(549, 561, 570)(550, 551, 571)(552, 553, 572)(554, 573, 563)(555, 575, 574)(557, 558, 576)(559, 560, 577)(562, 579, 578)(580, 595, 587)(581, 591, 596)(582, 583, 590)(584, 585, 593)(586, 597, 592)(588, 589, 594)(598, 599, 600)
	L = (1, 301)(2, 302)(3, 303)(4, 304)(5, 305)(6, 306)(7, 307)(8, 308)(9, 309)(10, 310)(11, 311)(12, 312)(13, 313)(14, 314)(15, 315)(16, 316)(17, 317)(18, 318)(19, 319)(20, 320)(21, 321)(22, 322)(23, 323)(24, 324)(25, 325)(26, 326)(27, 327)(28, 328)(29, 329)(30, 330)(31, 331)(32, 332)(33, 333)(34, 334)(35, 335)(36, 336)(37, 337)(38, 338)(39, 339)(40, 340)(41, 341)(42, 342)(43, 343)(44, 344)(45, 345)(46, 346)(47, 347)(48, 348)(49, 349)(50, 350)(51, 351)(52, 352)(53, 353)(54, 354)(55, 355)(56, 356)(57, 357)(58, 358)(59, 359)(60, 360)(61, 361)(62, 362)(63, 363)(64, 364)(65, 365)(66, 366)(67, 367)(68, 368)(69, 369)(70, 370)(71, 371)(72, 372)(73, 373)(74, 374)(75, 375)(76, 376)(77, 377)(78, 378)(79, 379)(80, 380)(81, 381)(82, 382)(83, 383)(84, 384)(85, 385)(86, 386)(87, 387)(88, 388)(89, 389)(90, 390)(91, 391)(92, 392)(93, 393)(94, 394)(95, 395)(96, 396)(97, 397)(98, 398)(99, 399)(100, 400)(101, 401)(102, 402)(103, 403)(104, 404)(105, 405)(106, 406)(107, 407)(108, 408)(109, 409)(110, 410)(111, 411)(112, 412)(113, 413)(114, 414)(115, 415)(116, 416)(117, 417)(118, 418)(119, 419)(120, 420)(121, 421)(122, 422)(123, 423)(124, 424)(125, 425)(126, 426)(127, 427)(128, 428)(129, 429)(130, 430)(131, 431)(132, 432)(133, 433)(134, 434)(135, 435)(136, 436)(137, 437)(138, 438)(139, 439)(140, 440)(141, 441)(142, 442)(143, 443)(144, 444)(145, 445)(146, 446)(147, 447)(148, 448)(149, 449)(150, 450)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E26.1356
Graph:: simple bipartite
	v = 175 e = 300 f = 75
	degree seq :: [ 3^100, 4^75 ]

E26.1356 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = ((C5 x C5) : C3) : C2 (small group id <150, 6>)
Aut   = C2 x (((C5 x C5) : C3) : C2) (small group id <300, 27>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, Y1^2 * Y2^-1, Y2^3, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 151, 301, 451, 4, 154, 304, 454)(2, 152, 302, 452, 5, 155, 305, 455)(3, 153, 303, 453, 6, 156, 306, 456)(7, 157, 307, 457, 13, 163, 313, 463)(8, 158, 308, 458, 14, 164, 314, 464)(9, 159, 309, 459, 15, 165, 315, 465)(10, 160, 310, 460, 16, 166, 316, 466)(11, 161, 311, 461, 17, 167, 317, 467)(12, 162, 312, 462, 18, 168, 318, 468)(19, 169, 319, 469, 31, 181, 331, 481)(20, 170, 320, 470, 32, 182, 332, 482)(21, 171, 321, 471, 33, 183, 333, 483)(22, 172, 322, 472, 34, 184, 334, 484)(23, 173, 323, 473, 35, 185, 335, 485)(24, 174, 324, 474, 36, 186, 336, 486)(25, 175, 325, 475, 37, 187, 337, 487)(26, 176, 326, 476, 38, 188, 338, 488)(27, 177, 327, 477, 39, 189, 339, 489)(28, 178, 328, 478, 40, 190, 340, 490)(29, 179, 329, 479, 41, 191, 341, 491)(30, 180, 330, 480, 42, 192, 342, 492)(43, 193, 343, 493, 58, 208, 358, 508)(44, 194, 344, 494, 59, 209, 359, 509)(45, 195, 345, 495, 60, 210, 360, 510)(46, 196, 346, 496, 61, 211, 361, 511)(47, 197, 347, 497, 62, 212, 362, 512)(48, 198, 348, 498, 63, 213, 363, 513)(49, 199, 349, 499, 64, 214, 364, 514)(50, 200, 350, 500, 65, 215, 365, 515)(51, 201, 351, 501, 66, 216, 366, 516)(52, 202, 352, 502, 67, 217, 367, 517)(53, 203, 353, 503, 68, 218, 368, 518)(54, 204, 354, 504, 69, 219, 369, 519)(55, 205, 355, 505, 70, 220, 370, 520)(56, 206, 356, 506, 71, 221, 371, 521)(57, 207, 357, 507, 72, 222, 372, 522)(73, 223, 373, 523, 94, 244, 394, 544)(74, 224, 374, 524, 95, 245, 395, 545)(75, 225, 375, 525, 96, 246, 396, 546)(76, 226, 376, 526, 97, 247, 397, 547)(77, 227, 377, 527, 98, 248, 398, 548)(78, 228, 378, 528, 99, 249, 399, 549)(79, 229, 379, 529, 100, 250, 400, 550)(80, 230, 380, 530, 101, 251, 401, 551)(81, 231, 381, 531, 102, 252, 402, 552)(82, 232, 382, 532, 103, 253, 403, 553)(83, 233, 383, 533, 104, 254, 404, 554)(84, 234, 384, 534, 105, 255, 405, 555)(85, 235, 385, 535, 106, 256, 406, 556)(86, 236, 386, 536, 107, 257, 407, 557)(87, 237, 387, 537, 108, 258, 408, 558)(88, 238, 388, 538, 109, 259, 409, 559)(89, 239, 389, 539, 110, 260, 410, 560)(90, 240, 390, 540, 111, 261, 411, 561)(91, 241, 391, 541, 112, 262, 412, 562)(92, 242, 392, 542, 113, 263, 413, 563)(93, 243, 393, 543, 114, 264, 414, 564)(115, 265, 415, 565, 130, 280, 430, 580)(116, 266, 416, 566, 131, 281, 431, 581)(117, 267, 417, 567, 132, 282, 432, 582)(118, 268, 418, 568, 133, 283, 433, 583)(119, 269, 419, 569, 134, 284, 434, 584)(120, 270, 420, 570, 135, 285, 435, 585)(121, 271, 421, 571, 136, 286, 436, 586)(122, 272, 422, 572, 137, 287, 437, 587)(123, 273, 423, 573, 138, 288, 438, 588)(124, 274, 424, 574, 139, 289, 439, 589)(125, 275, 425, 575, 140, 290, 440, 590)(126, 276, 426, 576, 141, 291, 441, 591)(127, 277, 427, 577, 142, 292, 442, 592)(128, 278, 428, 578, 143, 293, 443, 593)(129, 279, 429, 579, 144, 294, 444, 594)(145, 295, 445, 595, 148, 298, 448, 598)(146, 296, 446, 596, 149, 299, 449, 599)(147, 297, 447, 597, 150, 300, 450, 600)
	L = (1, 152)(2, 153)(3, 151)(4, 157)(5, 159)(6, 161)(7, 158)(8, 154)(9, 160)(10, 155)(11, 162)(12, 156)(13, 169)(14, 171)(15, 173)(16, 175)(17, 177)(18, 179)(19, 170)(20, 163)(21, 172)(22, 164)(23, 174)(24, 165)(25, 176)(26, 166)(27, 178)(28, 167)(29, 180)(30, 168)(31, 192)(32, 194)(33, 196)(34, 198)(35, 184)(36, 199)(37, 201)(38, 203)(39, 188)(40, 204)(41, 206)(42, 193)(43, 181)(44, 195)(45, 182)(46, 197)(47, 183)(48, 185)(49, 200)(50, 186)(51, 202)(52, 187)(53, 189)(54, 205)(55, 190)(56, 207)(57, 191)(58, 223)(59, 225)(60, 227)(61, 210)(62, 228)(63, 230)(64, 232)(65, 234)(66, 215)(67, 235)(68, 237)(69, 239)(70, 241)(71, 220)(72, 242)(73, 224)(74, 208)(75, 226)(76, 209)(77, 211)(78, 229)(79, 212)(80, 231)(81, 213)(82, 233)(83, 214)(84, 216)(85, 236)(86, 217)(87, 238)(88, 218)(89, 240)(90, 219)(91, 221)(92, 243)(93, 222)(94, 264)(95, 266)(96, 245)(97, 256)(98, 268)(99, 270)(100, 271)(101, 250)(102, 272)(103, 252)(104, 263)(105, 274)(106, 267)(107, 276)(108, 257)(109, 277)(110, 259)(111, 249)(112, 278)(113, 273)(114, 265)(115, 244)(116, 246)(117, 247)(118, 269)(119, 248)(120, 261)(121, 251)(122, 253)(123, 254)(124, 275)(125, 255)(126, 258)(127, 260)(128, 279)(129, 262)(130, 287)(131, 296)(132, 290)(133, 282)(134, 293)(135, 284)(136, 292)(137, 295)(138, 294)(139, 288)(140, 283)(141, 281)(142, 297)(143, 285)(144, 289)(145, 280)(146, 291)(147, 286)(148, 300)(149, 298)(150, 299)(301, 453)(302, 451)(303, 452)(304, 458)(305, 460)(306, 462)(307, 454)(308, 457)(309, 455)(310, 459)(311, 456)(312, 461)(313, 470)(314, 472)(315, 474)(316, 476)(317, 478)(318, 480)(319, 463)(320, 469)(321, 464)(322, 471)(323, 465)(324, 473)(325, 466)(326, 475)(327, 467)(328, 477)(329, 468)(330, 479)(331, 493)(332, 495)(333, 497)(334, 485)(335, 498)(336, 500)(337, 502)(338, 489)(339, 503)(340, 505)(341, 507)(342, 481)(343, 492)(344, 482)(345, 494)(346, 483)(347, 496)(348, 484)(349, 486)(350, 499)(351, 487)(352, 501)(353, 488)(354, 490)(355, 504)(356, 491)(357, 506)(358, 524)(359, 526)(360, 511)(361, 527)(362, 529)(363, 531)(364, 533)(365, 516)(366, 534)(367, 536)(368, 538)(369, 540)(370, 521)(371, 541)(372, 543)(373, 508)(374, 523)(375, 509)(376, 525)(377, 510)(378, 512)(379, 528)(380, 513)(381, 530)(382, 514)(383, 532)(384, 515)(385, 517)(386, 535)(387, 518)(388, 537)(389, 519)(390, 539)(391, 520)(392, 522)(393, 542)(394, 565)(395, 546)(396, 566)(397, 567)(398, 569)(399, 561)(400, 551)(401, 571)(402, 553)(403, 572)(404, 573)(405, 575)(406, 547)(407, 558)(408, 576)(409, 560)(410, 577)(411, 570)(412, 579)(413, 554)(414, 544)(415, 564)(416, 545)(417, 556)(418, 548)(419, 568)(420, 549)(421, 550)(422, 552)(423, 563)(424, 555)(425, 574)(426, 557)(427, 559)(428, 562)(429, 578)(430, 595)(431, 591)(432, 583)(433, 590)(434, 585)(435, 593)(436, 597)(437, 580)(438, 589)(439, 594)(440, 582)(441, 596)(442, 586)(443, 584)(444, 588)(445, 587)(446, 581)(447, 592)(448, 599)(449, 600)(450, 598)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E26.1355
Transitivity :: VT+
Graph::
	v = 75 e = 300 f = 175
	degree seq :: [ 8^75 ]

E26.1357 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 6, 6})
Quotient :: edge
Aut^+ = ((C5 x C5) : C3) : C2 (small group id <150, 6>)
Aut   = (((C5 x C5) : C3) : C2) : C2 (small group id <300, 25>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T2^6, (T2^-1 * T1^-1)^6, (T2^2 * T1)^5, T2 * T1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * 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, 123, 96, 70)(50, 71, 97, 125, 98, 72)(58, 81, 109, 134, 110, 82)(60, 83, 111, 136, 112, 84)(62, 86, 114, 137, 115, 87)(64, 88, 116, 139, 117, 89)(73, 99, 108, 133, 126, 100)(75, 101, 127, 146, 128, 102)(85, 103, 129, 118, 90, 113)(92, 119, 140, 149, 141, 120)(94, 121, 142, 130, 104, 122)(106, 131, 147, 150, 145, 132)(124, 143, 135, 148, 138, 144)(151, 152, 154)(153, 158, 157)(155, 160, 162)(156, 164, 161)(159, 169, 168)(163, 173, 175)(165, 178, 177)(166, 167, 180)(170, 185, 184)(171, 186, 174)(172, 176, 188)(179, 196, 195)(181, 198, 197)(182, 183, 200)(187, 206, 205)(189, 208, 191)(190, 204, 210)(192, 212, 207)(193, 194, 214)(199, 221, 220)(201, 223, 222)(202, 203, 225)(209, 233, 232)(211, 231, 235)(213, 238, 237)(215, 240, 239)(216, 217, 242)(218, 219, 244)(224, 251, 250)(226, 253, 252)(227, 254, 234)(228, 229, 256)(230, 236, 258)(241, 269, 268)(243, 271, 270)(245, 262, 272)(246, 247, 274)(248, 249, 264)(255, 281, 280)(257, 283, 282)(259, 267, 263)(260, 261, 285)(265, 266, 288)(273, 293, 286)(275, 287, 294)(276, 277, 295)(278, 279, 290)(284, 298, 289)(291, 292, 297)(296, 299, 300)
	L = (1, 151)(2, 152)(3, 153)(4, 154)(5, 155)(6, 156)(7, 157)(8, 158)(9, 159)(10, 160)(11, 161)(12, 162)(13, 163)(14, 164)(15, 165)(16, 166)(17, 167)(18, 168)(19, 169)(20, 170)(21, 171)(22, 172)(23, 173)(24, 174)(25, 175)(26, 176)(27, 177)(28, 178)(29, 179)(30, 180)(31, 181)(32, 182)(33, 183)(34, 184)(35, 185)(36, 186)(37, 187)(38, 188)(39, 189)(40, 190)(41, 191)(42, 192)(43, 193)(44, 194)(45, 195)(46, 196)(47, 197)(48, 198)(49, 199)(50, 200)(51, 201)(52, 202)(53, 203)(54, 204)(55, 205)(56, 206)(57, 207)(58, 208)(59, 209)(60, 210)(61, 211)(62, 212)(63, 213)(64, 214)(65, 215)(66, 216)(67, 217)(68, 218)(69, 219)(70, 220)(71, 221)(72, 222)(73, 223)(74, 224)(75, 225)(76, 226)(77, 227)(78, 228)(79, 229)(80, 230)(81, 231)(82, 232)(83, 233)(84, 234)(85, 235)(86, 236)(87, 237)(88, 238)(89, 239)(90, 240)(91, 241)(92, 242)(93, 243)(94, 244)(95, 245)(96, 246)(97, 247)(98, 248)(99, 249)(100, 250)(101, 251)(102, 252)(103, 253)(104, 254)(105, 255)(106, 256)(107, 257)(108, 258)(109, 259)(110, 260)(111, 261)(112, 262)(113, 263)(114, 264)(115, 265)(116, 266)(117, 267)(118, 268)(119, 269)(120, 270)(121, 271)(122, 272)(123, 273)(124, 274)(125, 275)(126, 276)(127, 277)(128, 278)(129, 279)(130, 280)(131, 281)(132, 282)(133, 283)(134, 284)(135, 285)(136, 286)(137, 287)(138, 288)(139, 289)(140, 290)(141, 291)(142, 292)(143, 293)(144, 294)(145, 295)(146, 296)(147, 297)(148, 298)(149, 299)(150, 300)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E26.1358
Transitivity :: ET+
Graph:: simple bipartite
	v = 75 e = 150 f = 25
	degree seq :: [ 3^50, 6^25 ]

E26.1358 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 6, 6})
Quotient :: loop
Aut^+ = ((C5 x C5) : C3) : C2 (small group id <150, 6>)
Aut   = (((C5 x C5) : C3) : C2) : C2 (small group id <300, 25>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T2^6, (T2^-1 * T1^-1)^6, (T2^2 * T1)^5, T2 * T1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 151, 3, 153, 9, 159, 20, 170, 13, 163, 5, 155)(2, 152, 6, 156, 15, 165, 29, 179, 16, 166, 7, 157)(4, 154, 10, 160, 21, 171, 37, 187, 22, 172, 11, 161)(8, 158, 17, 167, 31, 181, 49, 199, 32, 182, 18, 168)(12, 162, 23, 173, 39, 189, 59, 209, 40, 190, 24, 174)(14, 164, 26, 176, 42, 192, 63, 213, 43, 193, 27, 177)(19, 169, 33, 183, 51, 201, 74, 224, 52, 202, 34, 184)(25, 175, 35, 185, 53, 203, 76, 226, 61, 211, 41, 191)(28, 178, 44, 194, 65, 215, 91, 241, 66, 216, 45, 195)(30, 180, 46, 196, 67, 217, 93, 243, 68, 218, 47, 197)(36, 186, 54, 204, 77, 227, 105, 255, 78, 228, 55, 205)(38, 188, 56, 206, 79, 229, 107, 257, 80, 230, 57, 207)(48, 198, 69, 219, 95, 245, 123, 273, 96, 246, 70, 220)(50, 200, 71, 221, 97, 247, 125, 275, 98, 248, 72, 222)(58, 208, 81, 231, 109, 259, 134, 284, 110, 260, 82, 232)(60, 210, 83, 233, 111, 261, 136, 286, 112, 262, 84, 234)(62, 212, 86, 236, 114, 264, 137, 287, 115, 265, 87, 237)(64, 214, 88, 238, 116, 266, 139, 289, 117, 267, 89, 239)(73, 223, 99, 249, 108, 258, 133, 283, 126, 276, 100, 250)(75, 225, 101, 251, 127, 277, 146, 296, 128, 278, 102, 252)(85, 235, 103, 253, 129, 279, 118, 268, 90, 240, 113, 263)(92, 242, 119, 269, 140, 290, 149, 299, 141, 291, 120, 270)(94, 244, 121, 271, 142, 292, 130, 280, 104, 254, 122, 272)(106, 256, 131, 281, 147, 297, 150, 300, 145, 295, 132, 282)(124, 274, 143, 293, 135, 285, 148, 298, 138, 288, 144, 294)
	L = (1, 152)(2, 154)(3, 158)(4, 151)(5, 160)(6, 164)(7, 153)(8, 157)(9, 169)(10, 162)(11, 156)(12, 155)(13, 173)(14, 161)(15, 178)(16, 167)(17, 180)(18, 159)(19, 168)(20, 185)(21, 186)(22, 176)(23, 175)(24, 171)(25, 163)(26, 188)(27, 165)(28, 177)(29, 196)(30, 166)(31, 198)(32, 183)(33, 200)(34, 170)(35, 184)(36, 174)(37, 206)(38, 172)(39, 208)(40, 204)(41, 189)(42, 212)(43, 194)(44, 214)(45, 179)(46, 195)(47, 181)(48, 197)(49, 221)(50, 182)(51, 223)(52, 203)(53, 225)(54, 210)(55, 187)(56, 205)(57, 192)(58, 191)(59, 233)(60, 190)(61, 231)(62, 207)(63, 238)(64, 193)(65, 240)(66, 217)(67, 242)(68, 219)(69, 244)(70, 199)(71, 220)(72, 201)(73, 222)(74, 251)(75, 202)(76, 253)(77, 254)(78, 229)(79, 256)(80, 236)(81, 235)(82, 209)(83, 232)(84, 227)(85, 211)(86, 258)(87, 213)(88, 237)(89, 215)(90, 239)(91, 269)(92, 216)(93, 271)(94, 218)(95, 262)(96, 247)(97, 274)(98, 249)(99, 264)(100, 224)(101, 250)(102, 226)(103, 252)(104, 234)(105, 281)(106, 228)(107, 283)(108, 230)(109, 267)(110, 261)(111, 285)(112, 272)(113, 259)(114, 248)(115, 266)(116, 288)(117, 263)(118, 241)(119, 268)(120, 243)(121, 270)(122, 245)(123, 293)(124, 246)(125, 287)(126, 277)(127, 295)(128, 279)(129, 290)(130, 255)(131, 280)(132, 257)(133, 282)(134, 298)(135, 260)(136, 273)(137, 294)(138, 265)(139, 284)(140, 278)(141, 292)(142, 297)(143, 286)(144, 275)(145, 276)(146, 299)(147, 291)(148, 289)(149, 300)(150, 296)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E26.1357
Transitivity :: ET+ VT+ AT
Graph::
	v = 25 e = 150 f = 75
	degree seq :: [ 12^25 ]

E26.1359 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = ((C5 x C5) : C3) : C2 (small group id <150, 6>)
Aut   = (((C5 x C5) : C3) : C2) : C2 (small group id <300, 25>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y3 * Y1^-1 * Y3, Y1^3, (R * Y1)^2, Y1 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y3)^2, Y2^6, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^6, Y2^2 * Y1 * Y2^2 * Y1 * Y2^2 * Y3^-1 * Y2^2 * Y3^-1 * Y2^2 * Y3^-1 ]
Map::
	R = (1, 151, 2, 152, 4, 154)(3, 153, 8, 158, 7, 157)(5, 155, 10, 160, 12, 162)(6, 156, 14, 164, 11, 161)(9, 159, 19, 169, 18, 168)(13, 163, 23, 173, 25, 175)(15, 165, 28, 178, 27, 177)(16, 166, 17, 167, 30, 180)(20, 170, 35, 185, 34, 184)(21, 171, 36, 186, 24, 174)(22, 172, 26, 176, 38, 188)(29, 179, 46, 196, 45, 195)(31, 181, 48, 198, 47, 197)(32, 182, 33, 183, 50, 200)(37, 187, 56, 206, 55, 205)(39, 189, 58, 208, 41, 191)(40, 190, 54, 204, 60, 210)(42, 192, 62, 212, 57, 207)(43, 193, 44, 194, 64, 214)(49, 199, 71, 221, 70, 220)(51, 201, 73, 223, 72, 222)(52, 202, 53, 203, 75, 225)(59, 209, 83, 233, 82, 232)(61, 211, 81, 231, 85, 235)(63, 213, 88, 238, 87, 237)(65, 215, 90, 240, 89, 239)(66, 216, 67, 217, 92, 242)(68, 218, 69, 219, 94, 244)(74, 224, 101, 251, 100, 250)(76, 226, 103, 253, 102, 252)(77, 227, 104, 254, 84, 234)(78, 228, 79, 229, 106, 256)(80, 230, 86, 236, 108, 258)(91, 241, 119, 269, 118, 268)(93, 243, 121, 271, 120, 270)(95, 245, 112, 262, 122, 272)(96, 246, 97, 247, 124, 274)(98, 248, 99, 249, 114, 264)(105, 255, 131, 281, 130, 280)(107, 257, 133, 283, 132, 282)(109, 259, 117, 267, 113, 263)(110, 260, 111, 261, 135, 285)(115, 265, 116, 266, 138, 288)(123, 273, 143, 293, 136, 286)(125, 275, 137, 287, 144, 294)(126, 276, 127, 277, 145, 295)(128, 278, 129, 279, 140, 290)(134, 284, 148, 298, 139, 289)(141, 291, 142, 292, 147, 297)(146, 296, 149, 299, 150, 300)(301, 451, 303, 453, 309, 459, 320, 470, 313, 463, 305, 455)(302, 452, 306, 456, 315, 465, 329, 479, 316, 466, 307, 457)(304, 454, 310, 460, 321, 471, 337, 487, 322, 472, 311, 461)(308, 458, 317, 467, 331, 481, 349, 499, 332, 482, 318, 468)(312, 462, 323, 473, 339, 489, 359, 509, 340, 490, 324, 474)(314, 464, 326, 476, 342, 492, 363, 513, 343, 493, 327, 477)(319, 469, 333, 483, 351, 501, 374, 524, 352, 502, 334, 484)(325, 475, 335, 485, 353, 503, 376, 526, 361, 511, 341, 491)(328, 478, 344, 494, 365, 515, 391, 541, 366, 516, 345, 495)(330, 480, 346, 496, 367, 517, 393, 543, 368, 518, 347, 497)(336, 486, 354, 504, 377, 527, 405, 555, 378, 528, 355, 505)(338, 488, 356, 506, 379, 529, 407, 557, 380, 530, 357, 507)(348, 498, 369, 519, 395, 545, 423, 573, 396, 546, 370, 520)(350, 500, 371, 521, 397, 547, 425, 575, 398, 548, 372, 522)(358, 508, 381, 531, 409, 559, 434, 584, 410, 560, 382, 532)(360, 510, 383, 533, 411, 561, 436, 586, 412, 562, 384, 534)(362, 512, 386, 536, 414, 564, 437, 587, 415, 565, 387, 537)(364, 514, 388, 538, 416, 566, 439, 589, 417, 567, 389, 539)(373, 523, 399, 549, 408, 558, 433, 583, 426, 576, 400, 550)(375, 525, 401, 551, 427, 577, 446, 596, 428, 578, 402, 552)(385, 535, 403, 553, 429, 579, 418, 568, 390, 540, 413, 563)(392, 542, 419, 569, 440, 590, 449, 599, 441, 591, 420, 570)(394, 544, 421, 571, 442, 592, 430, 580, 404, 554, 422, 572)(406, 556, 431, 581, 447, 597, 450, 600, 445, 595, 432, 582)(424, 574, 443, 593, 435, 585, 448, 598, 438, 588, 444, 594)
	L = (1, 304)(2, 301)(3, 307)(4, 302)(5, 312)(6, 311)(7, 308)(8, 303)(9, 318)(10, 305)(11, 314)(12, 310)(13, 325)(14, 306)(15, 327)(16, 330)(17, 316)(18, 319)(19, 309)(20, 334)(21, 324)(22, 338)(23, 313)(24, 336)(25, 323)(26, 322)(27, 328)(28, 315)(29, 345)(30, 317)(31, 347)(32, 350)(33, 332)(34, 335)(35, 320)(36, 321)(37, 355)(38, 326)(39, 341)(40, 360)(41, 358)(42, 357)(43, 364)(44, 343)(45, 346)(46, 329)(47, 348)(48, 331)(49, 370)(50, 333)(51, 372)(52, 375)(53, 352)(54, 340)(55, 356)(56, 337)(57, 362)(58, 339)(59, 382)(60, 354)(61, 385)(62, 342)(63, 387)(64, 344)(65, 389)(66, 392)(67, 366)(68, 394)(69, 368)(70, 371)(71, 349)(72, 373)(73, 351)(74, 400)(75, 353)(76, 402)(77, 384)(78, 406)(79, 378)(80, 408)(81, 361)(82, 383)(83, 359)(84, 404)(85, 381)(86, 380)(87, 388)(88, 363)(89, 390)(90, 365)(91, 418)(92, 367)(93, 420)(94, 369)(95, 422)(96, 424)(97, 396)(98, 414)(99, 398)(100, 401)(101, 374)(102, 403)(103, 376)(104, 377)(105, 430)(106, 379)(107, 432)(108, 386)(109, 413)(110, 435)(111, 410)(112, 395)(113, 417)(114, 399)(115, 438)(116, 415)(117, 409)(118, 419)(119, 391)(120, 421)(121, 393)(122, 412)(123, 436)(124, 397)(125, 444)(126, 445)(127, 426)(128, 440)(129, 428)(130, 431)(131, 405)(132, 433)(133, 407)(134, 439)(135, 411)(136, 443)(137, 425)(138, 416)(139, 448)(140, 429)(141, 447)(142, 441)(143, 423)(144, 437)(145, 427)(146, 450)(147, 442)(148, 434)(149, 446)(150, 449)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)
	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 E26.1360
Graph:: bipartite
	v = 75 e = 300 f = 175
	degree seq :: [ 6^50, 12^25 ]

E26.1360 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = ((C5 x C5) : C3) : C2 (small group id <150, 6>)
Aut   = (((C5 x C5) : C3) : C2) : C2 (small group id <300, 25>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (Y1^-1 * Y3)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y1^6, (Y3^-1 * Y1^-1)^6, Y3 * Y1 * Y3 * Y1^2 * Y3 * Y1 * Y3^2 * Y1^2 * Y3 * Y1^2 * Y3, (Y1^2 * Y3)^5 ]
Map:: polytopal
	R = (1, 151, 2, 152, 6, 156, 14, 164, 11, 161, 4, 154)(3, 153, 9, 159, 19, 169, 32, 182, 18, 168, 8, 158)(5, 155, 10, 160, 21, 171, 36, 186, 25, 175, 13, 163)(7, 157, 17, 167, 30, 180, 46, 196, 29, 179, 16, 166)(12, 162, 22, 172, 38, 188, 57, 207, 40, 190, 24, 174)(15, 165, 28, 178, 44, 194, 64, 214, 43, 193, 27, 177)(20, 170, 35, 185, 53, 203, 75, 225, 52, 202, 34, 184)(23, 173, 26, 176, 42, 192, 62, 212, 59, 209, 39, 189)(31, 181, 49, 199, 71, 221, 96, 246, 70, 220, 48, 198)(33, 183, 51, 201, 73, 223, 98, 248, 72, 222, 50, 200)(37, 187, 56, 206, 79, 229, 106, 256, 78, 228, 55, 205)(41, 191, 54, 204, 77, 227, 104, 254, 85, 235, 61, 211)(45, 195, 67, 217, 92, 242, 119, 269, 91, 241, 66, 216)(47, 197, 69, 219, 94, 244, 121, 271, 93, 243, 68, 218)(58, 208, 82, 232, 110, 260, 136, 286, 109, 259, 81, 231)(60, 210, 80, 230, 108, 258, 134, 284, 112, 262, 84, 234)(63, 213, 88, 238, 116, 266, 138, 288, 115, 265, 87, 237)(65, 215, 90, 240, 113, 263, 130, 280, 117, 267, 89, 239)(74, 224, 101, 251, 128, 278, 145, 295, 127, 277, 100, 250)(76, 226, 103, 253, 118, 268, 140, 290, 129, 279, 102, 252)(83, 233, 86, 236, 114, 264, 126, 276, 99, 249, 111, 261)(95, 245, 123, 273, 143, 293, 133, 283, 107, 257, 122, 272)(97, 247, 125, 275, 137, 287, 149, 299, 144, 294, 124, 274)(105, 255, 132, 282, 147, 297, 150, 300, 139, 289, 131, 281)(120, 270, 142, 292, 135, 285, 148, 298, 146, 296, 141, 291)(301, 451)(302, 452)(303, 453)(304, 454)(305, 455)(306, 456)(307, 457)(308, 458)(309, 459)(310, 460)(311, 461)(312, 462)(313, 463)(314, 464)(315, 465)(316, 466)(317, 467)(318, 468)(319, 469)(320, 470)(321, 471)(322, 472)(323, 473)(324, 474)(325, 475)(326, 476)(327, 477)(328, 478)(329, 479)(330, 480)(331, 481)(332, 482)(333, 483)(334, 484)(335, 485)(336, 486)(337, 487)(338, 488)(339, 489)(340, 490)(341, 491)(342, 492)(343, 493)(344, 494)(345, 495)(346, 496)(347, 497)(348, 498)(349, 499)(350, 500)(351, 501)(352, 502)(353, 503)(354, 504)(355, 505)(356, 506)(357, 507)(358, 508)(359, 509)(360, 510)(361, 511)(362, 512)(363, 513)(364, 514)(365, 515)(366, 516)(367, 517)(368, 518)(369, 519)(370, 520)(371, 521)(372, 522)(373, 523)(374, 524)(375, 525)(376, 526)(377, 527)(378, 528)(379, 529)(380, 530)(381, 531)(382, 532)(383, 533)(384, 534)(385, 535)(386, 536)(387, 537)(388, 538)(389, 539)(390, 540)(391, 541)(392, 542)(393, 543)(394, 544)(395, 545)(396, 546)(397, 547)(398, 548)(399, 549)(400, 550)(401, 551)(402, 552)(403, 553)(404, 554)(405, 555)(406, 556)(407, 557)(408, 558)(409, 559)(410, 560)(411, 561)(412, 562)(413, 563)(414, 564)(415, 565)(416, 566)(417, 567)(418, 568)(419, 569)(420, 570)(421, 571)(422, 572)(423, 573)(424, 574)(425, 575)(426, 576)(427, 577)(428, 578)(429, 579)(430, 580)(431, 581)(432, 582)(433, 583)(434, 584)(435, 585)(436, 586)(437, 587)(438, 588)(439, 589)(440, 590)(441, 591)(442, 592)(443, 593)(444, 594)(445, 595)(446, 596)(447, 597)(448, 598)(449, 599)(450, 600)
	L = (1, 303)(2, 307)(3, 305)(4, 310)(5, 301)(6, 315)(7, 308)(8, 302)(9, 320)(10, 312)(11, 322)(12, 304)(13, 309)(14, 326)(15, 316)(16, 306)(17, 331)(18, 317)(19, 333)(20, 313)(21, 337)(22, 323)(23, 311)(24, 321)(25, 335)(26, 327)(27, 314)(28, 345)(29, 328)(30, 347)(31, 318)(32, 349)(33, 334)(34, 319)(35, 341)(36, 354)(37, 324)(38, 358)(39, 338)(40, 356)(41, 325)(42, 363)(43, 342)(44, 365)(45, 329)(46, 367)(47, 348)(48, 330)(49, 350)(50, 332)(51, 374)(52, 351)(53, 376)(54, 355)(55, 336)(56, 360)(57, 380)(58, 339)(59, 382)(60, 340)(61, 353)(62, 386)(63, 343)(64, 388)(65, 366)(66, 344)(67, 368)(68, 346)(69, 395)(70, 369)(71, 397)(72, 371)(73, 399)(74, 352)(75, 401)(76, 361)(77, 405)(78, 377)(79, 407)(80, 381)(81, 357)(82, 383)(83, 359)(84, 379)(85, 403)(86, 387)(87, 362)(88, 389)(89, 364)(90, 418)(91, 390)(92, 420)(93, 392)(94, 412)(95, 370)(96, 423)(97, 372)(98, 425)(99, 400)(100, 373)(101, 402)(102, 375)(103, 413)(104, 430)(105, 378)(106, 432)(107, 384)(108, 435)(109, 408)(110, 427)(111, 410)(112, 422)(113, 385)(114, 437)(115, 414)(116, 439)(117, 416)(118, 391)(119, 440)(120, 393)(121, 442)(122, 394)(123, 424)(124, 396)(125, 426)(126, 398)(127, 411)(128, 446)(129, 428)(130, 431)(131, 404)(132, 433)(133, 406)(134, 421)(135, 409)(136, 448)(137, 415)(138, 449)(139, 417)(140, 441)(141, 419)(142, 434)(143, 447)(144, 443)(145, 436)(146, 429)(147, 444)(148, 445)(149, 450)(150, 438)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E26.1359
Graph:: simple bipartite
	v = 175 e = 300 f = 75
	degree seq :: [ 2^150, 12^25 ]

E26.1361 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 6, 6})
Quotient :: edge
Aut^+ = C2 x ((C5 x C5) : C3) (small group id <150, 7>)
Aut   = C2 x (((C5 x C5) : C3) : C2) (small group id <300, 26>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^6, T2 * T1 * T2^-2 * T1 * T2 * T1, T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1, T2 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1^-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, 127, 85, 109, 90)(54, 91, 59, 86, 128, 92)(61, 98, 137, 102, 81, 99)(62, 100, 133, 93, 132, 101)(69, 110, 105, 94, 134, 111)(70, 112, 71, 95, 135, 96)(72, 113, 76, 97, 136, 114)(78, 119, 145, 123, 108, 120)(79, 121, 142, 115, 141, 122)(82, 124, 83, 116, 143, 117)(84, 125, 103, 118, 144, 126)(106, 138, 149, 129, 148, 139)(130, 150, 131, 146, 140, 147)(151, 152, 154)(153, 158, 160)(155, 163, 164)(156, 166, 168)(157, 169, 170)(159, 174, 176)(161, 179, 181)(162, 182, 183)(165, 189, 190)(167, 191, 193)(171, 188, 200)(172, 180, 202)(173, 203, 204)(175, 192, 207)(177, 209, 211)(178, 212, 185)(184, 199, 218)(186, 219, 220)(187, 221, 222)(194, 226, 228)(195, 229, 196)(197, 231, 232)(198, 233, 234)(201, 235, 236)(205, 210, 243)(206, 244, 245)(208, 246, 247)(213, 242, 252)(214, 253, 255)(215, 256, 216)(217, 258, 259)(223, 227, 265)(224, 248, 266)(225, 267, 268)(230, 264, 273)(237, 254, 279)(238, 269, 239)(240, 263, 280)(241, 281, 274)(249, 272, 250)(251, 288, 260)(257, 276, 261)(262, 275, 290)(270, 289, 271)(277, 286, 296)(278, 297, 293)(282, 287, 292)(283, 298, 284)(285, 294, 300)(291, 295, 299)
	L = (1, 151)(2, 152)(3, 153)(4, 154)(5, 155)(6, 156)(7, 157)(8, 158)(9, 159)(10, 160)(11, 161)(12, 162)(13, 163)(14, 164)(15, 165)(16, 166)(17, 167)(18, 168)(19, 169)(20, 170)(21, 171)(22, 172)(23, 173)(24, 174)(25, 175)(26, 176)(27, 177)(28, 178)(29, 179)(30, 180)(31, 181)(32, 182)(33, 183)(34, 184)(35, 185)(36, 186)(37, 187)(38, 188)(39, 189)(40, 190)(41, 191)(42, 192)(43, 193)(44, 194)(45, 195)(46, 196)(47, 197)(48, 198)(49, 199)(50, 200)(51, 201)(52, 202)(53, 203)(54, 204)(55, 205)(56, 206)(57, 207)(58, 208)(59, 209)(60, 210)(61, 211)(62, 212)(63, 213)(64, 214)(65, 215)(66, 216)(67, 217)(68, 218)(69, 219)(70, 220)(71, 221)(72, 222)(73, 223)(74, 224)(75, 225)(76, 226)(77, 227)(78, 228)(79, 229)(80, 230)(81, 231)(82, 232)(83, 233)(84, 234)(85, 235)(86, 236)(87, 237)(88, 238)(89, 239)(90, 240)(91, 241)(92, 242)(93, 243)(94, 244)(95, 245)(96, 246)(97, 247)(98, 248)(99, 249)(100, 250)(101, 251)(102, 252)(103, 253)(104, 254)(105, 255)(106, 256)(107, 257)(108, 258)(109, 259)(110, 260)(111, 261)(112, 262)(113, 263)(114, 264)(115, 265)(116, 266)(117, 267)(118, 268)(119, 269)(120, 270)(121, 271)(122, 272)(123, 273)(124, 274)(125, 275)(126, 276)(127, 277)(128, 278)(129, 279)(130, 280)(131, 281)(132, 282)(133, 283)(134, 284)(135, 285)(136, 286)(137, 287)(138, 288)(139, 289)(140, 290)(141, 291)(142, 292)(143, 293)(144, 294)(145, 295)(146, 296)(147, 297)(148, 298)(149, 299)(150, 300)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E26.1362
Transitivity :: ET+
Graph:: simple bipartite
	v = 75 e = 150 f = 25
	degree seq :: [ 3^50, 6^25 ]

E26.1362 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 6, 6})
Quotient :: loop
Aut^+ = C2 x ((C5 x C5) : C3) (small group id <150, 7>)
Aut   = C2 x (((C5 x C5) : C3) : C2) (small group id <300, 26>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^6, T2 * T1 * T2^-2 * T1 * T2 * T1, T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1, T2 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 151, 3, 153, 9, 159, 25, 175, 15, 165, 5, 155)(2, 152, 6, 156, 17, 167, 42, 192, 21, 171, 7, 157)(4, 154, 11, 161, 30, 180, 57, 207, 34, 184, 12, 162)(8, 158, 22, 172, 51, 201, 39, 189, 33, 183, 23, 173)(10, 160, 27, 177, 60, 210, 40, 190, 63, 213, 28, 178)(13, 163, 35, 185, 56, 206, 24, 174, 55, 205, 36, 186)(14, 164, 37, 187, 16, 166, 26, 176, 58, 208, 38, 188)(18, 168, 44, 194, 77, 227, 50, 200, 80, 230, 45, 195)(19, 169, 46, 196, 74, 224, 41, 191, 73, 223, 47, 197)(20, 170, 48, 198, 29, 179, 43, 193, 75, 225, 49, 199)(31, 181, 64, 214, 104, 254, 68, 218, 107, 257, 65, 215)(32, 182, 66, 216, 88, 238, 52, 202, 87, 237, 67, 217)(53, 203, 89, 239, 127, 277, 85, 235, 109, 259, 90, 240)(54, 204, 91, 241, 59, 209, 86, 236, 128, 278, 92, 242)(61, 211, 98, 248, 137, 287, 102, 252, 81, 231, 99, 249)(62, 212, 100, 250, 133, 283, 93, 243, 132, 282, 101, 251)(69, 219, 110, 260, 105, 255, 94, 244, 134, 284, 111, 261)(70, 220, 112, 262, 71, 221, 95, 245, 135, 285, 96, 246)(72, 222, 113, 263, 76, 226, 97, 247, 136, 286, 114, 264)(78, 228, 119, 269, 145, 295, 123, 273, 108, 258, 120, 270)(79, 229, 121, 271, 142, 292, 115, 265, 141, 291, 122, 272)(82, 232, 124, 274, 83, 233, 116, 266, 143, 293, 117, 267)(84, 234, 125, 275, 103, 253, 118, 268, 144, 294, 126, 276)(106, 256, 138, 288, 149, 299, 129, 279, 148, 298, 139, 289)(130, 280, 150, 300, 131, 281, 146, 296, 140, 290, 147, 297)
	L = (1, 152)(2, 154)(3, 158)(4, 151)(5, 163)(6, 166)(7, 169)(8, 160)(9, 174)(10, 153)(11, 179)(12, 182)(13, 164)(14, 155)(15, 189)(16, 168)(17, 191)(18, 156)(19, 170)(20, 157)(21, 188)(22, 180)(23, 203)(24, 176)(25, 192)(26, 159)(27, 209)(28, 212)(29, 181)(30, 202)(31, 161)(32, 183)(33, 162)(34, 199)(35, 178)(36, 219)(37, 221)(38, 200)(39, 190)(40, 165)(41, 193)(42, 207)(43, 167)(44, 226)(45, 229)(46, 195)(47, 231)(48, 233)(49, 218)(50, 171)(51, 235)(52, 172)(53, 204)(54, 173)(55, 210)(56, 244)(57, 175)(58, 246)(59, 211)(60, 243)(61, 177)(62, 185)(63, 242)(64, 253)(65, 256)(66, 215)(67, 258)(68, 184)(69, 220)(70, 186)(71, 222)(72, 187)(73, 227)(74, 248)(75, 267)(76, 228)(77, 265)(78, 194)(79, 196)(80, 264)(81, 232)(82, 197)(83, 234)(84, 198)(85, 236)(86, 201)(87, 254)(88, 269)(89, 238)(90, 263)(91, 281)(92, 252)(93, 205)(94, 245)(95, 206)(96, 247)(97, 208)(98, 266)(99, 272)(100, 249)(101, 288)(102, 213)(103, 255)(104, 279)(105, 214)(106, 216)(107, 276)(108, 259)(109, 217)(110, 251)(111, 257)(112, 275)(113, 280)(114, 273)(115, 223)(116, 224)(117, 268)(118, 225)(119, 239)(120, 289)(121, 270)(122, 250)(123, 230)(124, 241)(125, 290)(126, 261)(127, 286)(128, 297)(129, 237)(130, 240)(131, 274)(132, 287)(133, 298)(134, 283)(135, 294)(136, 296)(137, 292)(138, 260)(139, 271)(140, 262)(141, 295)(142, 282)(143, 278)(144, 300)(145, 299)(146, 277)(147, 293)(148, 284)(149, 291)(150, 285)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E26.1361
Transitivity :: ET+ VT+ AT
Graph::
	v = 25 e = 150 f = 75
	degree seq :: [ 12^25 ]

E26.1363 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x ((C5 x C5) : C3) (small group id <150, 7>)
Aut   = C2 x (((C5 x C5) : C3) : C2) (small group id <300, 26>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3^-1 * Y1^-1, Y3^-1 * Y1^-1, Y1^3, Y3^2 * Y1^-1, (Y3 * R)^2, (R * Y1)^2, (R * Y2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y2^-1, Y2 * Y1 * Y2^-2 * Y3^-1 * Y2 * Y3^-1, (Y1 * Y2^-2)^3, Y3 * Y2^-2 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2, Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y3 * Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y2^-1 ]
Map::
	R = (1, 151, 2, 152, 4, 154)(3, 153, 8, 158, 10, 160)(5, 155, 13, 163, 14, 164)(6, 156, 16, 166, 18, 168)(7, 157, 19, 169, 20, 170)(9, 159, 24, 174, 26, 176)(11, 161, 29, 179, 31, 181)(12, 162, 32, 182, 33, 183)(15, 165, 39, 189, 40, 190)(17, 167, 41, 191, 43, 193)(21, 171, 38, 188, 50, 200)(22, 172, 30, 180, 52, 202)(23, 173, 53, 203, 54, 204)(25, 175, 42, 192, 57, 207)(27, 177, 59, 209, 61, 211)(28, 178, 62, 212, 35, 185)(34, 184, 49, 199, 68, 218)(36, 186, 69, 219, 70, 220)(37, 187, 71, 221, 72, 222)(44, 194, 76, 226, 78, 228)(45, 195, 79, 229, 46, 196)(47, 197, 81, 231, 82, 232)(48, 198, 83, 233, 84, 234)(51, 201, 85, 235, 86, 236)(55, 205, 60, 210, 93, 243)(56, 206, 94, 244, 95, 245)(58, 208, 96, 246, 97, 247)(63, 213, 92, 242, 102, 252)(64, 214, 103, 253, 105, 255)(65, 215, 106, 256, 66, 216)(67, 217, 108, 258, 109, 259)(73, 223, 77, 227, 115, 265)(74, 224, 98, 248, 116, 266)(75, 225, 117, 267, 118, 268)(80, 230, 114, 264, 123, 273)(87, 237, 104, 254, 129, 279)(88, 238, 119, 269, 89, 239)(90, 240, 113, 263, 130, 280)(91, 241, 131, 281, 124, 274)(99, 249, 122, 272, 100, 250)(101, 251, 138, 288, 110, 260)(107, 257, 126, 276, 111, 261)(112, 262, 125, 275, 140, 290)(120, 270, 139, 289, 121, 271)(127, 277, 136, 286, 146, 296)(128, 278, 147, 297, 143, 293)(132, 282, 137, 287, 142, 292)(133, 283, 148, 298, 134, 284)(135, 285, 144, 294, 150, 300)(141, 291, 145, 295, 149, 299)(301, 451, 303, 453, 309, 459, 325, 475, 315, 465, 305, 455)(302, 452, 306, 456, 317, 467, 342, 492, 321, 471, 307, 457)(304, 454, 311, 461, 330, 480, 357, 507, 334, 484, 312, 462)(308, 458, 322, 472, 351, 501, 339, 489, 333, 483, 323, 473)(310, 460, 327, 477, 360, 510, 340, 490, 363, 513, 328, 478)(313, 463, 335, 485, 356, 506, 324, 474, 355, 505, 336, 486)(314, 464, 337, 487, 316, 466, 326, 476, 358, 508, 338, 488)(318, 468, 344, 494, 377, 527, 350, 500, 380, 530, 345, 495)(319, 469, 346, 496, 374, 524, 341, 491, 373, 523, 347, 497)(320, 470, 348, 498, 329, 479, 343, 493, 375, 525, 349, 499)(331, 481, 364, 514, 404, 554, 368, 518, 407, 557, 365, 515)(332, 482, 366, 516, 388, 538, 352, 502, 387, 537, 367, 517)(353, 503, 389, 539, 427, 577, 385, 535, 409, 559, 390, 540)(354, 504, 391, 541, 359, 509, 386, 536, 428, 578, 392, 542)(361, 511, 398, 548, 437, 587, 402, 552, 381, 531, 399, 549)(362, 512, 400, 550, 433, 583, 393, 543, 432, 582, 401, 551)(369, 519, 410, 560, 405, 555, 394, 544, 434, 584, 411, 561)(370, 520, 412, 562, 371, 521, 395, 545, 435, 585, 396, 546)(372, 522, 413, 563, 376, 526, 397, 547, 436, 586, 414, 564)(378, 528, 419, 569, 445, 595, 423, 573, 408, 558, 420, 570)(379, 529, 421, 571, 442, 592, 415, 565, 441, 591, 422, 572)(382, 532, 424, 574, 383, 533, 416, 566, 443, 593, 417, 567)(384, 534, 425, 575, 403, 553, 418, 568, 444, 594, 426, 576)(406, 556, 438, 588, 449, 599, 429, 579, 448, 598, 439, 589)(430, 580, 450, 600, 431, 581, 446, 596, 440, 590, 447, 597)
	L = (1, 304)(2, 301)(3, 310)(4, 302)(5, 314)(6, 318)(7, 320)(8, 303)(9, 326)(10, 308)(11, 331)(12, 333)(13, 305)(14, 313)(15, 340)(16, 306)(17, 343)(18, 316)(19, 307)(20, 319)(21, 350)(22, 352)(23, 354)(24, 309)(25, 357)(26, 324)(27, 361)(28, 335)(29, 311)(30, 322)(31, 329)(32, 312)(33, 332)(34, 368)(35, 362)(36, 370)(37, 372)(38, 321)(39, 315)(40, 339)(41, 317)(42, 325)(43, 341)(44, 378)(45, 346)(46, 379)(47, 382)(48, 384)(49, 334)(50, 338)(51, 386)(52, 330)(53, 323)(54, 353)(55, 393)(56, 395)(57, 342)(58, 397)(59, 327)(60, 355)(61, 359)(62, 328)(63, 402)(64, 405)(65, 366)(66, 406)(67, 409)(68, 349)(69, 336)(70, 369)(71, 337)(72, 371)(73, 415)(74, 416)(75, 418)(76, 344)(77, 373)(78, 376)(79, 345)(80, 423)(81, 347)(82, 381)(83, 348)(84, 383)(85, 351)(86, 385)(87, 429)(88, 389)(89, 419)(90, 430)(91, 424)(92, 363)(93, 360)(94, 356)(95, 394)(96, 358)(97, 396)(98, 374)(99, 400)(100, 422)(101, 410)(102, 392)(103, 364)(104, 387)(105, 403)(106, 365)(107, 411)(108, 367)(109, 408)(110, 438)(111, 426)(112, 440)(113, 390)(114, 380)(115, 377)(116, 398)(117, 375)(118, 417)(119, 388)(120, 421)(121, 439)(122, 399)(123, 414)(124, 431)(125, 412)(126, 407)(127, 446)(128, 443)(129, 404)(130, 413)(131, 391)(132, 442)(133, 434)(134, 448)(135, 450)(136, 427)(137, 432)(138, 401)(139, 420)(140, 425)(141, 449)(142, 437)(143, 447)(144, 435)(145, 441)(146, 436)(147, 428)(148, 433)(149, 445)(150, 444)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)
	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 E26.1364
Graph:: bipartite
	v = 75 e = 300 f = 175
	degree seq :: [ 6^50, 12^25 ]

E26.1364 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x ((C5 x C5) : C3) (small group id <150, 7>)
Aut   = C2 x (((C5 x C5) : C3) : C2) (small group id <300, 26>)
|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, Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 151, 2, 152, 6, 156, 16, 166, 12, 162, 4, 154)(3, 153, 9, 159, 23, 173, 41, 191, 27, 177, 10, 160)(5, 155, 14, 164, 35, 185, 42, 192, 39, 189, 15, 165)(7, 157, 19, 169, 46, 196, 31, 181, 40, 190, 20, 170)(8, 158, 21, 171, 50, 200, 32, 182, 54, 204, 22, 172)(11, 161, 29, 179, 44, 194, 17, 167, 43, 193, 30, 180)(13, 163, 33, 183, 24, 174, 18, 168, 45, 195, 34, 184)(25, 175, 57, 207, 94, 244, 61, 211, 98, 248, 58, 208)(26, 176, 59, 209, 92, 242, 55, 205, 91, 241, 60, 210)(28, 178, 62, 212, 36, 186, 56, 206, 93, 243, 63, 213)(37, 187, 68, 218, 108, 258, 72, 222, 112, 262, 69, 219)(38, 188, 70, 220, 81, 231, 47, 197, 80, 230, 71, 221)(48, 198, 82, 232, 120, 270, 78, 228, 114, 264, 83, 233)(49, 199, 84, 234, 51, 201, 79, 229, 121, 271, 85, 235)(52, 202, 86, 236, 127, 277, 90, 240, 99, 249, 87, 237)(53, 203, 88, 238, 116, 266, 73, 223, 115, 265, 89, 239)(64, 214, 103, 253, 110, 260, 74, 224, 117, 267, 104, 254)(65, 215, 105, 255, 66, 216, 75, 225, 118, 268, 76, 226)(67, 217, 106, 256, 95, 245, 77, 227, 119, 269, 107, 257)(96, 246, 123, 273, 149, 299, 136, 286, 113, 263, 134, 284)(97, 247, 135, 285, 141, 291, 131, 281, 150, 300, 129, 279)(100, 250, 126, 276, 101, 251, 128, 278, 147, 297, 132, 282)(102, 252, 137, 287, 109, 259, 133, 283, 143, 293, 138, 288)(111, 261, 130, 280, 148, 298, 122, 272, 142, 292, 140, 290)(124, 274, 144, 294, 125, 275, 145, 295, 139, 289, 146, 296)(301, 451)(302, 452)(303, 453)(304, 454)(305, 455)(306, 456)(307, 457)(308, 458)(309, 459)(310, 460)(311, 461)(312, 462)(313, 463)(314, 464)(315, 465)(316, 466)(317, 467)(318, 468)(319, 469)(320, 470)(321, 471)(322, 472)(323, 473)(324, 474)(325, 475)(326, 476)(327, 477)(328, 478)(329, 479)(330, 480)(331, 481)(332, 482)(333, 483)(334, 484)(335, 485)(336, 486)(337, 487)(338, 488)(339, 489)(340, 490)(341, 491)(342, 492)(343, 493)(344, 494)(345, 495)(346, 496)(347, 497)(348, 498)(349, 499)(350, 500)(351, 501)(352, 502)(353, 503)(354, 504)(355, 505)(356, 506)(357, 507)(358, 508)(359, 509)(360, 510)(361, 511)(362, 512)(363, 513)(364, 514)(365, 515)(366, 516)(367, 517)(368, 518)(369, 519)(370, 520)(371, 521)(372, 522)(373, 523)(374, 524)(375, 525)(376, 526)(377, 527)(378, 528)(379, 529)(380, 530)(381, 531)(382, 532)(383, 533)(384, 534)(385, 535)(386, 536)(387, 537)(388, 538)(389, 539)(390, 540)(391, 541)(392, 542)(393, 543)(394, 544)(395, 545)(396, 546)(397, 547)(398, 548)(399, 549)(400, 550)(401, 551)(402, 552)(403, 553)(404, 554)(405, 555)(406, 556)(407, 557)(408, 558)(409, 559)(410, 560)(411, 561)(412, 562)(413, 563)(414, 564)(415, 565)(416, 566)(417, 567)(418, 568)(419, 569)(420, 570)(421, 571)(422, 572)(423, 573)(424, 574)(425, 575)(426, 576)(427, 577)(428, 578)(429, 579)(430, 580)(431, 581)(432, 582)(433, 583)(434, 584)(435, 585)(436, 586)(437, 587)(438, 588)(439, 589)(440, 590)(441, 591)(442, 592)(443, 593)(444, 594)(445, 595)(446, 596)(447, 597)(448, 598)(449, 599)(450, 600)
	L = (1, 303)(2, 307)(3, 305)(4, 311)(5, 301)(6, 317)(7, 308)(8, 302)(9, 324)(10, 326)(11, 313)(12, 331)(13, 304)(14, 336)(15, 338)(16, 341)(17, 318)(18, 306)(19, 335)(20, 348)(21, 351)(22, 353)(23, 355)(24, 325)(25, 309)(26, 328)(27, 334)(28, 310)(29, 322)(30, 364)(31, 332)(32, 312)(33, 366)(34, 361)(35, 347)(36, 337)(37, 314)(38, 340)(39, 363)(40, 315)(41, 342)(42, 316)(43, 350)(44, 374)(45, 376)(46, 378)(47, 319)(48, 349)(49, 320)(50, 373)(51, 352)(52, 321)(53, 329)(54, 385)(55, 356)(56, 323)(57, 395)(58, 397)(59, 358)(60, 399)(61, 327)(62, 401)(63, 372)(64, 365)(65, 330)(66, 367)(67, 333)(68, 409)(69, 411)(70, 369)(71, 413)(72, 339)(73, 343)(74, 375)(75, 344)(76, 377)(77, 345)(78, 379)(79, 346)(80, 408)(81, 423)(82, 381)(83, 406)(84, 425)(85, 390)(86, 428)(87, 429)(88, 387)(89, 430)(90, 354)(91, 394)(92, 386)(93, 432)(94, 431)(95, 396)(96, 357)(97, 359)(98, 407)(99, 400)(100, 360)(101, 402)(102, 362)(103, 389)(104, 412)(105, 437)(106, 424)(107, 436)(108, 422)(109, 410)(110, 368)(111, 370)(112, 438)(113, 414)(114, 371)(115, 427)(116, 442)(117, 416)(118, 443)(119, 445)(120, 419)(121, 446)(122, 380)(123, 382)(124, 383)(125, 426)(126, 384)(127, 441)(128, 392)(129, 388)(130, 403)(131, 391)(132, 433)(133, 393)(134, 440)(135, 434)(136, 398)(137, 439)(138, 404)(139, 405)(140, 435)(141, 415)(142, 417)(143, 444)(144, 418)(145, 420)(146, 447)(147, 421)(148, 450)(149, 448)(150, 449)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E26.1363
Graph:: simple bipartite
	v = 175 e = 300 f = 75
	degree seq :: [ 2^150, 12^25 ]

E26.1365 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 10, 15})
Quotient :: regular
Aut^+ = C5 x D30 (small group id <150, 11>)
Aut   = D10 x D30 (small group id <300, 39>)
|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, (T2 * T1^-5)^2, T1^15 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 43, 71, 101, 124, 100, 70, 42, 22, 10, 4)(3, 7, 15, 31, 55, 87, 115, 134, 128, 103, 72, 62, 36, 18, 8)(6, 13, 27, 51, 83, 69, 99, 123, 142, 126, 102, 86, 54, 30, 14)(9, 19, 37, 63, 96, 120, 139, 130, 106, 74, 44, 73, 64, 38, 20)(12, 25, 47, 79, 68, 41, 67, 98, 122, 141, 125, 112, 82, 50, 26)(16, 28, 48, 76, 104, 95, 114, 133, 146, 148, 135, 119, 91, 58, 33)(17, 29, 49, 77, 105, 127, 143, 149, 136, 116, 88, 113, 92, 59, 34)(21, 39, 65, 97, 121, 140, 132, 109, 78, 46, 24, 45, 75, 66, 40)(32, 52, 80, 107, 94, 61, 85, 111, 131, 145, 147, 138, 118, 90, 57)(35, 53, 81, 108, 129, 144, 150, 137, 117, 89, 56, 84, 110, 93, 60)
	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, 125)(103, 127)(106, 129)(109, 131)(112, 133)(115, 135)(121, 136)(122, 137)(123, 138)(124, 140)(126, 143)(128, 144)(130, 145)(132, 146)(134, 147)(139, 148)(141, 149)(142, 150)
	local type(s) :: { ( 10^15 ) }
Outer automorphisms :: reflexible
Dual of E26.1366
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 10 e = 75 f = 15
	degree seq :: [ 15^10 ]

E26.1366 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 10, 15})
Quotient :: regular
Aut^+ = C5 x D30 (small group id <150, 11>)
Aut   = D10 x D30 (small group id <300, 39>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T1^10, (T1^-1 * T2)^15 ]
Map:: polytopal 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, 141, 135, 145, 134, 144, 133, 143, 132, 142)(136, 146, 140, 150, 139, 149, 138, 148, 137, 147)
	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)(141, 149)(142, 150)(143, 146)(144, 147)(145, 148)
	local type(s) :: { ( 15^10 ) }
Outer automorphisms :: reflexible
Dual of E26.1365
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 15 e = 75 f = 10
	degree seq :: [ 10^15 ]

E26.1367 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 10, 15})
Quotient :: edge
Aut^+ = C5 x D30 (small group id <150, 11>)
Aut   = D10 x D30 (small group id <300, 39>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-2 * T1 * T2^2 * T1, T2^10, (T2^-1 * T1)^15 ]
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, 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, 148, 145, 147, 144, 146, 143, 150, 142, 149)(151, 152)(153, 157)(154, 159)(155, 161)(156, 163)(158, 162)(160, 164)(165, 175)(166, 177)(167, 176)(168, 179)(169, 180)(170, 182)(171, 184)(172, 183)(173, 186)(174, 187)(178, 185)(181, 188)(189, 203)(190, 205)(191, 204)(192, 207)(193, 206)(194, 208)(195, 209)(196, 210)(197, 212)(198, 211)(199, 214)(200, 213)(201, 215)(202, 216)(217, 229)(218, 231)(219, 230)(220, 232)(221, 233)(222, 234)(223, 235)(224, 237)(225, 236)(226, 238)(227, 239)(228, 240)(241, 251)(242, 252)(243, 253)(244, 254)(245, 255)(246, 256)(247, 257)(248, 258)(249, 259)(250, 260)(261, 271)(262, 272)(263, 273)(264, 274)(265, 275)(266, 276)(267, 277)(268, 278)(269, 279)(270, 280)(281, 291)(282, 292)(283, 293)(284, 294)(285, 295)(286, 296)(287, 297)(288, 298)(289, 299)(290, 300)
	L = (1, 151)(2, 152)(3, 153)(4, 154)(5, 155)(6, 156)(7, 157)(8, 158)(9, 159)(10, 160)(11, 161)(12, 162)(13, 163)(14, 164)(15, 165)(16, 166)(17, 167)(18, 168)(19, 169)(20, 170)(21, 171)(22, 172)(23, 173)(24, 174)(25, 175)(26, 176)(27, 177)(28, 178)(29, 179)(30, 180)(31, 181)(32, 182)(33, 183)(34, 184)(35, 185)(36, 186)(37, 187)(38, 188)(39, 189)(40, 190)(41, 191)(42, 192)(43, 193)(44, 194)(45, 195)(46, 196)(47, 197)(48, 198)(49, 199)(50, 200)(51, 201)(52, 202)(53, 203)(54, 204)(55, 205)(56, 206)(57, 207)(58, 208)(59, 209)(60, 210)(61, 211)(62, 212)(63, 213)(64, 214)(65, 215)(66, 216)(67, 217)(68, 218)(69, 219)(70, 220)(71, 221)(72, 222)(73, 223)(74, 224)(75, 225)(76, 226)(77, 227)(78, 228)(79, 229)(80, 230)(81, 231)(82, 232)(83, 233)(84, 234)(85, 235)(86, 236)(87, 237)(88, 238)(89, 239)(90, 240)(91, 241)(92, 242)(93, 243)(94, 244)(95, 245)(96, 246)(97, 247)(98, 248)(99, 249)(100, 250)(101, 251)(102, 252)(103, 253)(104, 254)(105, 255)(106, 256)(107, 257)(108, 258)(109, 259)(110, 260)(111, 261)(112, 262)(113, 263)(114, 264)(115, 265)(116, 266)(117, 267)(118, 268)(119, 269)(120, 270)(121, 271)(122, 272)(123, 273)(124, 274)(125, 275)(126, 276)(127, 277)(128, 278)(129, 279)(130, 280)(131, 281)(132, 282)(133, 283)(134, 284)(135, 285)(136, 286)(137, 287)(138, 288)(139, 289)(140, 290)(141, 291)(142, 292)(143, 293)(144, 294)(145, 295)(146, 296)(147, 297)(148, 298)(149, 299)(150, 300)
	local type(s) :: { ( 30, 30 ), ( 30^10 ) }
Outer automorphisms :: reflexible
Dual of E26.1371
Transitivity :: ET+
Graph:: simple bipartite
	v = 90 e = 150 f = 10
	degree seq :: [ 2^75, 10^15 ]

E26.1368 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 10, 15})
Quotient :: edge
Aut^+ = C5 x D30 (small group id <150, 11>)
Aut   = D10 x D30 (small group id <300, 39>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1, T2^2 * T1^-3 * T2 * T1^-2 * T2 * T1^-1, (T2^-4 * T1)^2, T1^10, T2^15 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 48, 79, 99, 119, 124, 104, 84, 59, 33, 15, 5)(2, 7, 19, 40, 69, 90, 110, 130, 134, 114, 94, 74, 44, 22, 8)(4, 12, 29, 54, 80, 100, 120, 139, 135, 115, 95, 75, 45, 23, 9)(6, 17, 36, 64, 85, 105, 125, 143, 144, 126, 106, 86, 66, 38, 18)(11, 27, 52, 65, 58, 83, 103, 123, 142, 136, 116, 96, 76, 46, 24)(13, 28, 51, 73, 93, 113, 133, 150, 145, 127, 107, 87, 67, 39, 20)(14, 31, 56, 81, 101, 121, 140, 138, 118, 98, 78, 49, 63, 35, 16)(21, 42, 71, 91, 111, 131, 148, 147, 129, 109, 89, 70, 55, 61, 34)(26, 50, 60, 37, 32, 57, 82, 102, 122, 141, 137, 117, 97, 77, 47)(30, 53, 62, 43, 72, 92, 112, 132, 149, 146, 128, 108, 88, 68, 41)(151, 152, 156, 166, 184, 210, 203, 177, 163, 154)(153, 159, 167, 158, 171, 185, 212, 200, 178, 161)(155, 164, 168, 187, 211, 202, 180, 162, 170, 157)(160, 174, 186, 173, 192, 172, 193, 213, 201, 176)(165, 182, 188, 215, 205, 179, 191, 169, 189, 181)(175, 197, 214, 196, 221, 195, 222, 194, 223, 199)(183, 208, 216, 204, 220, 190, 218, 206, 217, 207)(198, 228, 235, 227, 241, 226, 242, 225, 243, 224)(209, 230, 236, 219, 239, 231, 238, 232, 237, 233)(229, 244, 255, 248, 261, 247, 262, 246, 263, 245)(234, 240, 256, 251, 259, 252, 258, 253, 257, 250)(249, 265, 275, 264, 281, 268, 282, 267, 283, 266)(254, 271, 276, 272, 279, 273, 278, 270, 277, 260)(269, 286, 293, 285, 298, 284, 299, 288, 300, 287)(274, 291, 294, 292, 297, 289, 296, 280, 295, 290)
	L = (1, 151)(2, 152)(3, 153)(4, 154)(5, 155)(6, 156)(7, 157)(8, 158)(9, 159)(10, 160)(11, 161)(12, 162)(13, 163)(14, 164)(15, 165)(16, 166)(17, 167)(18, 168)(19, 169)(20, 170)(21, 171)(22, 172)(23, 173)(24, 174)(25, 175)(26, 176)(27, 177)(28, 178)(29, 179)(30, 180)(31, 181)(32, 182)(33, 183)(34, 184)(35, 185)(36, 186)(37, 187)(38, 188)(39, 189)(40, 190)(41, 191)(42, 192)(43, 193)(44, 194)(45, 195)(46, 196)(47, 197)(48, 198)(49, 199)(50, 200)(51, 201)(52, 202)(53, 203)(54, 204)(55, 205)(56, 206)(57, 207)(58, 208)(59, 209)(60, 210)(61, 211)(62, 212)(63, 213)(64, 214)(65, 215)(66, 216)(67, 217)(68, 218)(69, 219)(70, 220)(71, 221)(72, 222)(73, 223)(74, 224)(75, 225)(76, 226)(77, 227)(78, 228)(79, 229)(80, 230)(81, 231)(82, 232)(83, 233)(84, 234)(85, 235)(86, 236)(87, 237)(88, 238)(89, 239)(90, 240)(91, 241)(92, 242)(93, 243)(94, 244)(95, 245)(96, 246)(97, 247)(98, 248)(99, 249)(100, 250)(101, 251)(102, 252)(103, 253)(104, 254)(105, 255)(106, 256)(107, 257)(108, 258)(109, 259)(110, 260)(111, 261)(112, 262)(113, 263)(114, 264)(115, 265)(116, 266)(117, 267)(118, 268)(119, 269)(120, 270)(121, 271)(122, 272)(123, 273)(124, 274)(125, 275)(126, 276)(127, 277)(128, 278)(129, 279)(130, 280)(131, 281)(132, 282)(133, 283)(134, 284)(135, 285)(136, 286)(137, 287)(138, 288)(139, 289)(140, 290)(141, 291)(142, 292)(143, 293)(144, 294)(145, 295)(146, 296)(147, 297)(148, 298)(149, 299)(150, 300)
	local type(s) :: { ( 4^10 ), ( 4^15 ) }
Outer automorphisms :: reflexible
Dual of E26.1372
Transitivity :: ET+
Graph:: simple bipartite
	v = 25 e = 150 f = 75
	degree seq :: [ 10^15, 15^10 ]

E26.1369 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 10, 15})
Quotient :: edge
Aut^+ = C5 x D30 (small group id <150, 11>)
Aut   = D10 x D30 (small group id <300, 39>)
|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, (T2 * T1^-5)^2, T1^15 ]
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, 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, 125)(103, 127)(106, 129)(109, 131)(112, 133)(115, 135)(121, 136)(122, 137)(123, 138)(124, 140)(126, 143)(128, 144)(130, 145)(132, 146)(134, 147)(139, 148)(141, 149)(142, 150)(151, 152, 155, 161, 173, 193, 221, 251, 274, 250, 220, 192, 172, 160, 154)(153, 157, 165, 181, 205, 237, 265, 284, 278, 253, 222, 212, 186, 168, 158)(156, 163, 177, 201, 233, 219, 249, 273, 292, 276, 252, 236, 204, 180, 164)(159, 169, 187, 213, 246, 270, 289, 280, 256, 224, 194, 223, 214, 188, 170)(162, 175, 197, 229, 218, 191, 217, 248, 272, 291, 275, 262, 232, 200, 176)(166, 178, 198, 226, 254, 245, 264, 283, 296, 298, 285, 269, 241, 208, 183)(167, 179, 199, 227, 255, 277, 293, 299, 286, 266, 238, 263, 242, 209, 184)(171, 189, 215, 247, 271, 290, 282, 259, 228, 196, 174, 195, 225, 216, 190)(182, 202, 230, 257, 244, 211, 235, 261, 281, 295, 297, 288, 268, 240, 207)(185, 203, 231, 258, 279, 294, 300, 287, 267, 239, 206, 234, 260, 243, 210)
	L = (1, 151)(2, 152)(3, 153)(4, 154)(5, 155)(6, 156)(7, 157)(8, 158)(9, 159)(10, 160)(11, 161)(12, 162)(13, 163)(14, 164)(15, 165)(16, 166)(17, 167)(18, 168)(19, 169)(20, 170)(21, 171)(22, 172)(23, 173)(24, 174)(25, 175)(26, 176)(27, 177)(28, 178)(29, 179)(30, 180)(31, 181)(32, 182)(33, 183)(34, 184)(35, 185)(36, 186)(37, 187)(38, 188)(39, 189)(40, 190)(41, 191)(42, 192)(43, 193)(44, 194)(45, 195)(46, 196)(47, 197)(48, 198)(49, 199)(50, 200)(51, 201)(52, 202)(53, 203)(54, 204)(55, 205)(56, 206)(57, 207)(58, 208)(59, 209)(60, 210)(61, 211)(62, 212)(63, 213)(64, 214)(65, 215)(66, 216)(67, 217)(68, 218)(69, 219)(70, 220)(71, 221)(72, 222)(73, 223)(74, 224)(75, 225)(76, 226)(77, 227)(78, 228)(79, 229)(80, 230)(81, 231)(82, 232)(83, 233)(84, 234)(85, 235)(86, 236)(87, 237)(88, 238)(89, 239)(90, 240)(91, 241)(92, 242)(93, 243)(94, 244)(95, 245)(96, 246)(97, 247)(98, 248)(99, 249)(100, 250)(101, 251)(102, 252)(103, 253)(104, 254)(105, 255)(106, 256)(107, 257)(108, 258)(109, 259)(110, 260)(111, 261)(112, 262)(113, 263)(114, 264)(115, 265)(116, 266)(117, 267)(118, 268)(119, 269)(120, 270)(121, 271)(122, 272)(123, 273)(124, 274)(125, 275)(126, 276)(127, 277)(128, 278)(129, 279)(130, 280)(131, 281)(132, 282)(133, 283)(134, 284)(135, 285)(136, 286)(137, 287)(138, 288)(139, 289)(140, 290)(141, 291)(142, 292)(143, 293)(144, 294)(145, 295)(146, 296)(147, 297)(148, 298)(149, 299)(150, 300)
	local type(s) :: { ( 20, 20 ), ( 20^15 ) }
Outer automorphisms :: reflexible
Dual of E26.1370
Transitivity :: ET+
Graph:: simple bipartite
	v = 85 e = 150 f = 15
	degree seq :: [ 2^75, 15^10 ]

E26.1370 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 10, 15})
Quotient :: loop
Aut^+ = C5 x D30 (small group id <150, 11>)
Aut   = D10 x D30 (small group id <300, 39>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-2 * T1 * T2^2 * T1, T2^10, (T2^-1 * T1)^15 ]
Map::
	R = (1, 151, 3, 153, 8, 158, 17, 167, 28, 178, 43, 193, 31, 181, 19, 169, 10, 160, 4, 154)(2, 152, 5, 155, 12, 162, 22, 172, 35, 185, 50, 200, 38, 188, 24, 174, 14, 164, 6, 156)(7, 157, 15, 165, 26, 176, 41, 191, 56, 206, 45, 195, 30, 180, 18, 168, 9, 159, 16, 166)(11, 161, 20, 170, 33, 183, 48, 198, 63, 213, 52, 202, 37, 187, 23, 173, 13, 163, 21, 171)(25, 175, 39, 189, 54, 204, 69, 219, 59, 209, 44, 194, 29, 179, 42, 192, 27, 177, 40, 190)(32, 182, 46, 196, 61, 211, 75, 225, 66, 216, 51, 201, 36, 186, 49, 199, 34, 184, 47, 197)(53, 203, 67, 217, 80, 230, 72, 222, 58, 208, 71, 221, 57, 207, 70, 220, 55, 205, 68, 218)(60, 210, 73, 223, 86, 236, 78, 228, 65, 215, 77, 227, 64, 214, 76, 226, 62, 212, 74, 224)(79, 229, 91, 241, 84, 234, 95, 245, 83, 233, 94, 244, 82, 232, 93, 243, 81, 231, 92, 242)(85, 235, 96, 246, 90, 240, 100, 250, 89, 239, 99, 249, 88, 238, 98, 248, 87, 237, 97, 247)(101, 251, 111, 261, 105, 255, 115, 265, 104, 254, 114, 264, 103, 253, 113, 263, 102, 252, 112, 262)(106, 256, 116, 266, 110, 260, 120, 270, 109, 259, 119, 269, 108, 258, 118, 268, 107, 257, 117, 267)(121, 271, 131, 281, 125, 275, 135, 285, 124, 274, 134, 284, 123, 273, 133, 283, 122, 272, 132, 282)(126, 276, 136, 286, 130, 280, 140, 290, 129, 279, 139, 289, 128, 278, 138, 288, 127, 277, 137, 287)(141, 291, 148, 298, 145, 295, 147, 297, 144, 294, 146, 296, 143, 293, 150, 300, 142, 292, 149, 299)
	L = (1, 152)(2, 151)(3, 157)(4, 159)(5, 161)(6, 163)(7, 153)(8, 162)(9, 154)(10, 164)(11, 155)(12, 158)(13, 156)(14, 160)(15, 175)(16, 177)(17, 176)(18, 179)(19, 180)(20, 182)(21, 184)(22, 183)(23, 186)(24, 187)(25, 165)(26, 167)(27, 166)(28, 185)(29, 168)(30, 169)(31, 188)(32, 170)(33, 172)(34, 171)(35, 178)(36, 173)(37, 174)(38, 181)(39, 203)(40, 205)(41, 204)(42, 207)(43, 206)(44, 208)(45, 209)(46, 210)(47, 212)(48, 211)(49, 214)(50, 213)(51, 215)(52, 216)(53, 189)(54, 191)(55, 190)(56, 193)(57, 192)(58, 194)(59, 195)(60, 196)(61, 198)(62, 197)(63, 200)(64, 199)(65, 201)(66, 202)(67, 229)(68, 231)(69, 230)(70, 232)(71, 233)(72, 234)(73, 235)(74, 237)(75, 236)(76, 238)(77, 239)(78, 240)(79, 217)(80, 219)(81, 218)(82, 220)(83, 221)(84, 222)(85, 223)(86, 225)(87, 224)(88, 226)(89, 227)(90, 228)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 281)(142, 282)(143, 283)(144, 284)(145, 285)(146, 286)(147, 287)(148, 288)(149, 289)(150, 290)
	local type(s) :: { ( 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15 ) }
Outer automorphisms :: reflexible
Dual of E26.1369
Transitivity :: ET+ VT+ AT
Graph::
	v = 15 e = 150 f = 85
	degree seq :: [ 20^15 ]

E26.1371 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 10, 15})
Quotient :: loop
Aut^+ = C5 x D30 (small group id <150, 11>)
Aut   = D10 x D30 (small group id <300, 39>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1, T2^2 * T1^-3 * T2 * T1^-2 * T2 * T1^-1, (T2^-4 * T1)^2, T1^10, T2^15 ]
Map::
	R = (1, 151, 3, 153, 10, 160, 25, 175, 48, 198, 79, 229, 99, 249, 119, 269, 124, 274, 104, 254, 84, 234, 59, 209, 33, 183, 15, 165, 5, 155)(2, 152, 7, 157, 19, 169, 40, 190, 69, 219, 90, 240, 110, 260, 130, 280, 134, 284, 114, 264, 94, 244, 74, 224, 44, 194, 22, 172, 8, 158)(4, 154, 12, 162, 29, 179, 54, 204, 80, 230, 100, 250, 120, 270, 139, 289, 135, 285, 115, 265, 95, 245, 75, 225, 45, 195, 23, 173, 9, 159)(6, 156, 17, 167, 36, 186, 64, 214, 85, 235, 105, 255, 125, 275, 143, 293, 144, 294, 126, 276, 106, 256, 86, 236, 66, 216, 38, 188, 18, 168)(11, 161, 27, 177, 52, 202, 65, 215, 58, 208, 83, 233, 103, 253, 123, 273, 142, 292, 136, 286, 116, 266, 96, 246, 76, 226, 46, 196, 24, 174)(13, 163, 28, 178, 51, 201, 73, 223, 93, 243, 113, 263, 133, 283, 150, 300, 145, 295, 127, 277, 107, 257, 87, 237, 67, 217, 39, 189, 20, 170)(14, 164, 31, 181, 56, 206, 81, 231, 101, 251, 121, 271, 140, 290, 138, 288, 118, 268, 98, 248, 78, 228, 49, 199, 63, 213, 35, 185, 16, 166)(21, 171, 42, 192, 71, 221, 91, 241, 111, 261, 131, 281, 148, 298, 147, 297, 129, 279, 109, 259, 89, 239, 70, 220, 55, 205, 61, 211, 34, 184)(26, 176, 50, 200, 60, 210, 37, 187, 32, 182, 57, 207, 82, 232, 102, 252, 122, 272, 141, 291, 137, 287, 117, 267, 97, 247, 77, 227, 47, 197)(30, 180, 53, 203, 62, 212, 43, 193, 72, 222, 92, 242, 112, 262, 132, 282, 149, 299, 146, 296, 128, 278, 108, 258, 88, 238, 68, 218, 41, 191)
	L = (1, 152)(2, 156)(3, 159)(4, 151)(5, 164)(6, 166)(7, 155)(8, 171)(9, 167)(10, 174)(11, 153)(12, 170)(13, 154)(14, 168)(15, 182)(16, 184)(17, 158)(18, 187)(19, 189)(20, 157)(21, 185)(22, 193)(23, 192)(24, 186)(25, 197)(26, 160)(27, 163)(28, 161)(29, 191)(30, 162)(31, 165)(32, 188)(33, 208)(34, 210)(35, 212)(36, 173)(37, 211)(38, 215)(39, 181)(40, 218)(41, 169)(42, 172)(43, 213)(44, 223)(45, 222)(46, 221)(47, 214)(48, 228)(49, 175)(50, 178)(51, 176)(52, 180)(53, 177)(54, 220)(55, 179)(56, 217)(57, 183)(58, 216)(59, 230)(60, 203)(61, 202)(62, 200)(63, 201)(64, 196)(65, 205)(66, 204)(67, 207)(68, 206)(69, 239)(70, 190)(71, 195)(72, 194)(73, 199)(74, 198)(75, 243)(76, 242)(77, 241)(78, 235)(79, 244)(80, 236)(81, 238)(82, 237)(83, 209)(84, 240)(85, 227)(86, 219)(87, 233)(88, 232)(89, 231)(90, 256)(91, 226)(92, 225)(93, 224)(94, 255)(95, 229)(96, 263)(97, 262)(98, 261)(99, 265)(100, 234)(101, 259)(102, 258)(103, 257)(104, 271)(105, 248)(106, 251)(107, 250)(108, 253)(109, 252)(110, 254)(111, 247)(112, 246)(113, 245)(114, 281)(115, 275)(116, 249)(117, 283)(118, 282)(119, 286)(120, 277)(121, 276)(122, 279)(123, 278)(124, 291)(125, 264)(126, 272)(127, 260)(128, 270)(129, 273)(130, 295)(131, 268)(132, 267)(133, 266)(134, 299)(135, 298)(136, 293)(137, 269)(138, 300)(139, 296)(140, 274)(141, 294)(142, 297)(143, 285)(144, 292)(145, 290)(146, 280)(147, 289)(148, 284)(149, 288)(150, 287)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1367
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 10 e = 150 f = 90
	degree seq :: [ 30^10 ]

E26.1372 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 10, 15})
Quotient :: loop
Aut^+ = C5 x D30 (small group id <150, 11>)
Aut   = D10 x D30 (small group id <300, 39>)
|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, (T2 * T1^-5)^2, T1^15 ]
Map:: polytopal non-degenerate
	R = (1, 151, 3, 153)(2, 152, 6, 156)(4, 154, 9, 159)(5, 155, 12, 162)(7, 157, 16, 166)(8, 158, 17, 167)(10, 160, 21, 171)(11, 161, 24, 174)(13, 163, 28, 178)(14, 164, 29, 179)(15, 165, 32, 182)(18, 168, 35, 185)(19, 169, 33, 183)(20, 170, 34, 184)(22, 172, 41, 191)(23, 173, 44, 194)(25, 175, 48, 198)(26, 176, 49, 199)(27, 177, 52, 202)(30, 180, 53, 203)(31, 181, 56, 206)(36, 186, 61, 211)(37, 187, 57, 207)(38, 188, 60, 210)(39, 189, 58, 208)(40, 190, 59, 209)(42, 192, 69, 219)(43, 193, 72, 222)(45, 195, 76, 226)(46, 196, 77, 227)(47, 197, 80, 230)(50, 200, 81, 231)(51, 201, 84, 234)(54, 204, 85, 235)(55, 205, 88, 238)(62, 212, 95, 245)(63, 213, 89, 239)(64, 214, 94, 244)(65, 215, 90, 240)(66, 216, 93, 243)(67, 217, 91, 241)(68, 218, 92, 242)(70, 220, 87, 237)(71, 221, 102, 252)(73, 223, 104, 254)(74, 224, 105, 255)(75, 225, 107, 257)(78, 228, 108, 258)(79, 229, 110, 260)(82, 232, 111, 261)(83, 233, 113, 263)(86, 236, 114, 264)(96, 246, 116, 266)(97, 247, 117, 267)(98, 248, 118, 268)(99, 249, 119, 269)(100, 250, 120, 270)(101, 251, 125, 275)(103, 253, 127, 277)(106, 256, 129, 279)(109, 259, 131, 281)(112, 262, 133, 283)(115, 265, 135, 285)(121, 271, 136, 286)(122, 272, 137, 287)(123, 273, 138, 288)(124, 274, 140, 290)(126, 276, 143, 293)(128, 278, 144, 294)(130, 280, 145, 295)(132, 282, 146, 296)(134, 284, 147, 297)(139, 289, 148, 298)(141, 291, 149, 299)(142, 292, 150, 300)
	L = (1, 152)(2, 155)(3, 157)(4, 151)(5, 161)(6, 163)(7, 165)(8, 153)(9, 169)(10, 154)(11, 173)(12, 175)(13, 177)(14, 156)(15, 181)(16, 178)(17, 179)(18, 158)(19, 187)(20, 159)(21, 189)(22, 160)(23, 193)(24, 195)(25, 197)(26, 162)(27, 201)(28, 198)(29, 199)(30, 164)(31, 205)(32, 202)(33, 166)(34, 167)(35, 203)(36, 168)(37, 213)(38, 170)(39, 215)(40, 171)(41, 217)(42, 172)(43, 221)(44, 223)(45, 225)(46, 174)(47, 229)(48, 226)(49, 227)(50, 176)(51, 233)(52, 230)(53, 231)(54, 180)(55, 237)(56, 234)(57, 182)(58, 183)(59, 184)(60, 185)(61, 235)(62, 186)(63, 246)(64, 188)(65, 247)(66, 190)(67, 248)(68, 191)(69, 249)(70, 192)(71, 251)(72, 212)(73, 214)(74, 194)(75, 216)(76, 254)(77, 255)(78, 196)(79, 218)(80, 257)(81, 258)(82, 200)(83, 219)(84, 260)(85, 261)(86, 204)(87, 265)(88, 263)(89, 206)(90, 207)(91, 208)(92, 209)(93, 210)(94, 211)(95, 264)(96, 270)(97, 271)(98, 272)(99, 273)(100, 220)(101, 274)(102, 236)(103, 222)(104, 245)(105, 277)(106, 224)(107, 244)(108, 279)(109, 228)(110, 243)(111, 281)(112, 232)(113, 242)(114, 283)(115, 284)(116, 238)(117, 239)(118, 240)(119, 241)(120, 289)(121, 290)(122, 291)(123, 292)(124, 250)(125, 262)(126, 252)(127, 293)(128, 253)(129, 294)(130, 256)(131, 295)(132, 259)(133, 296)(134, 278)(135, 269)(136, 266)(137, 267)(138, 268)(139, 280)(140, 282)(141, 275)(142, 276)(143, 299)(144, 300)(145, 297)(146, 298)(147, 288)(148, 285)(149, 286)(150, 287)
	local type(s) :: { ( 10, 15, 10, 15 ) }
Outer automorphisms :: reflexible
Dual of E26.1368
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 75 e = 150 f = 25
	degree seq :: [ 4^75 ]

E26.1373 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 15})
Quotient :: dipole
Aut^+ = C5 x D30 (small group id <150, 11>)
Aut   = D10 x D30 (small group id <300, 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 * Y2^2 * Y1 * Y2^-1, Y2^10, (Y3 * Y2^-1)^15 ]
Map::
	R = (1, 151, 2, 152)(3, 153, 7, 157)(4, 154, 9, 159)(5, 155, 11, 161)(6, 156, 13, 163)(8, 158, 12, 162)(10, 160, 14, 164)(15, 165, 25, 175)(16, 166, 27, 177)(17, 167, 26, 176)(18, 168, 29, 179)(19, 169, 30, 180)(20, 170, 32, 182)(21, 171, 34, 184)(22, 172, 33, 183)(23, 173, 36, 186)(24, 174, 37, 187)(28, 178, 35, 185)(31, 181, 38, 188)(39, 189, 53, 203)(40, 190, 55, 205)(41, 191, 54, 204)(42, 192, 57, 207)(43, 193, 56, 206)(44, 194, 58, 208)(45, 195, 59, 209)(46, 196, 60, 210)(47, 197, 62, 212)(48, 198, 61, 211)(49, 199, 64, 214)(50, 200, 63, 213)(51, 201, 65, 215)(52, 202, 66, 216)(67, 217, 79, 229)(68, 218, 81, 231)(69, 219, 80, 230)(70, 220, 82, 232)(71, 221, 83, 233)(72, 222, 84, 234)(73, 223, 85, 235)(74, 224, 87, 237)(75, 225, 86, 236)(76, 226, 88, 238)(77, 227, 89, 239)(78, 228, 90, 240)(91, 241, 101, 251)(92, 242, 102, 252)(93, 243, 103, 253)(94, 244, 104, 254)(95, 245, 105, 255)(96, 246, 106, 256)(97, 247, 107, 257)(98, 248, 108, 258)(99, 249, 109, 259)(100, 250, 110, 260)(111, 261, 121, 271)(112, 262, 122, 272)(113, 263, 123, 273)(114, 264, 124, 274)(115, 265, 125, 275)(116, 266, 126, 276)(117, 267, 127, 277)(118, 268, 128, 278)(119, 269, 129, 279)(120, 270, 130, 280)(131, 281, 141, 291)(132, 282, 142, 292)(133, 283, 143, 293)(134, 284, 144, 294)(135, 285, 145, 295)(136, 286, 146, 296)(137, 287, 147, 297)(138, 288, 148, 298)(139, 289, 149, 299)(140, 290, 150, 300)(301, 451, 303, 453, 308, 458, 317, 467, 328, 478, 343, 493, 331, 481, 319, 469, 310, 460, 304, 454)(302, 452, 305, 455, 312, 462, 322, 472, 335, 485, 350, 500, 338, 488, 324, 474, 314, 464, 306, 456)(307, 457, 315, 465, 326, 476, 341, 491, 356, 506, 345, 495, 330, 480, 318, 468, 309, 459, 316, 466)(311, 461, 320, 470, 333, 483, 348, 498, 363, 513, 352, 502, 337, 487, 323, 473, 313, 463, 321, 471)(325, 475, 339, 489, 354, 504, 369, 519, 359, 509, 344, 494, 329, 479, 342, 492, 327, 477, 340, 490)(332, 482, 346, 496, 361, 511, 375, 525, 366, 516, 351, 501, 336, 486, 349, 499, 334, 484, 347, 497)(353, 503, 367, 517, 380, 530, 372, 522, 358, 508, 371, 521, 357, 507, 370, 520, 355, 505, 368, 518)(360, 510, 373, 523, 386, 536, 378, 528, 365, 515, 377, 527, 364, 514, 376, 526, 362, 512, 374, 524)(379, 529, 391, 541, 384, 534, 395, 545, 383, 533, 394, 544, 382, 532, 393, 543, 381, 531, 392, 542)(385, 535, 396, 546, 390, 540, 400, 550, 389, 539, 399, 549, 388, 538, 398, 548, 387, 537, 397, 547)(401, 551, 411, 561, 405, 555, 415, 565, 404, 554, 414, 564, 403, 553, 413, 563, 402, 552, 412, 562)(406, 556, 416, 566, 410, 560, 420, 570, 409, 559, 419, 569, 408, 558, 418, 568, 407, 557, 417, 567)(421, 571, 431, 581, 425, 575, 435, 585, 424, 574, 434, 584, 423, 573, 433, 583, 422, 572, 432, 582)(426, 576, 436, 586, 430, 580, 440, 590, 429, 579, 439, 589, 428, 578, 438, 588, 427, 577, 437, 587)(441, 591, 448, 598, 445, 595, 447, 597, 444, 594, 446, 596, 443, 593, 450, 600, 442, 592, 449, 599)
	L = (1, 302)(2, 301)(3, 307)(4, 309)(5, 311)(6, 313)(7, 303)(8, 312)(9, 304)(10, 314)(11, 305)(12, 308)(13, 306)(14, 310)(15, 325)(16, 327)(17, 326)(18, 329)(19, 330)(20, 332)(21, 334)(22, 333)(23, 336)(24, 337)(25, 315)(26, 317)(27, 316)(28, 335)(29, 318)(30, 319)(31, 338)(32, 320)(33, 322)(34, 321)(35, 328)(36, 323)(37, 324)(38, 331)(39, 353)(40, 355)(41, 354)(42, 357)(43, 356)(44, 358)(45, 359)(46, 360)(47, 362)(48, 361)(49, 364)(50, 363)(51, 365)(52, 366)(53, 339)(54, 341)(55, 340)(56, 343)(57, 342)(58, 344)(59, 345)(60, 346)(61, 348)(62, 347)(63, 350)(64, 349)(65, 351)(66, 352)(67, 379)(68, 381)(69, 380)(70, 382)(71, 383)(72, 384)(73, 385)(74, 387)(75, 386)(76, 388)(77, 389)(78, 390)(79, 367)(80, 369)(81, 368)(82, 370)(83, 371)(84, 372)(85, 373)(86, 375)(87, 374)(88, 376)(89, 377)(90, 378)(91, 401)(92, 402)(93, 403)(94, 404)(95, 405)(96, 406)(97, 407)(98, 408)(99, 409)(100, 410)(101, 391)(102, 392)(103, 393)(104, 394)(105, 395)(106, 396)(107, 397)(108, 398)(109, 399)(110, 400)(111, 421)(112, 422)(113, 423)(114, 424)(115, 425)(116, 426)(117, 427)(118, 428)(119, 429)(120, 430)(121, 411)(122, 412)(123, 413)(124, 414)(125, 415)(126, 416)(127, 417)(128, 418)(129, 419)(130, 420)(131, 441)(132, 442)(133, 443)(134, 444)(135, 445)(136, 446)(137, 447)(138, 448)(139, 449)(140, 450)(141, 431)(142, 432)(143, 433)(144, 434)(145, 435)(146, 436)(147, 437)(148, 438)(149, 439)(150, 440)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1376
Graph:: bipartite
	v = 90 e = 300 f = 160
	degree seq :: [ 4^75, 20^15 ]

E26.1374 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 15})
Quotient :: dipole
Aut^+ = C5 x D30 (small group id <150, 11>)
Aut   = D10 x D30 (small group id <300, 39>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (Y2^-1 * Y1^-1)^2, (Y2 * Y1)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, R * Y2 * R * Y3, Y1^-3 * Y2^-1 * Y1 * Y2^-1, Y1^2 * Y2 * Y1^-1 * Y2 * Y1, Y2^-3 * Y1^3 * Y2^-3 * Y1, Y2^-1 * Y1 * Y2 * Y1^-3 * Y2 * Y1 * Y2^-1 * Y1, Y2^15 ]
Map::
	R = (1, 151, 2, 152, 6, 156, 16, 166, 34, 184, 60, 210, 53, 203, 27, 177, 13, 163, 4, 154)(3, 153, 9, 159, 17, 167, 8, 158, 21, 171, 35, 185, 62, 212, 50, 200, 28, 178, 11, 161)(5, 155, 14, 164, 18, 168, 37, 187, 61, 211, 52, 202, 30, 180, 12, 162, 20, 170, 7, 157)(10, 160, 24, 174, 36, 186, 23, 173, 42, 192, 22, 172, 43, 193, 63, 213, 51, 201, 26, 176)(15, 165, 32, 182, 38, 188, 65, 215, 55, 205, 29, 179, 41, 191, 19, 169, 39, 189, 31, 181)(25, 175, 47, 197, 64, 214, 46, 196, 71, 221, 45, 195, 72, 222, 44, 194, 73, 223, 49, 199)(33, 183, 58, 208, 66, 216, 54, 204, 70, 220, 40, 190, 68, 218, 56, 206, 67, 217, 57, 207)(48, 198, 78, 228, 85, 235, 77, 227, 91, 241, 76, 226, 92, 242, 75, 225, 93, 243, 74, 224)(59, 209, 80, 230, 86, 236, 69, 219, 89, 239, 81, 231, 88, 238, 82, 232, 87, 237, 83, 233)(79, 229, 94, 244, 105, 255, 98, 248, 111, 261, 97, 247, 112, 262, 96, 246, 113, 263, 95, 245)(84, 234, 90, 240, 106, 256, 101, 251, 109, 259, 102, 252, 108, 258, 103, 253, 107, 257, 100, 250)(99, 249, 115, 265, 125, 275, 114, 264, 131, 281, 118, 268, 132, 282, 117, 267, 133, 283, 116, 266)(104, 254, 121, 271, 126, 276, 122, 272, 129, 279, 123, 273, 128, 278, 120, 270, 127, 277, 110, 260)(119, 269, 136, 286, 143, 293, 135, 285, 148, 298, 134, 284, 149, 299, 138, 288, 150, 300, 137, 287)(124, 274, 141, 291, 144, 294, 142, 292, 147, 297, 139, 289, 146, 296, 130, 280, 145, 295, 140, 290)(301, 451, 303, 453, 310, 460, 325, 475, 348, 498, 379, 529, 399, 549, 419, 569, 424, 574, 404, 554, 384, 534, 359, 509, 333, 483, 315, 465, 305, 455)(302, 452, 307, 457, 319, 469, 340, 490, 369, 519, 390, 540, 410, 560, 430, 580, 434, 584, 414, 564, 394, 544, 374, 524, 344, 494, 322, 472, 308, 458)(304, 454, 312, 462, 329, 479, 354, 504, 380, 530, 400, 550, 420, 570, 439, 589, 435, 585, 415, 565, 395, 545, 375, 525, 345, 495, 323, 473, 309, 459)(306, 456, 317, 467, 336, 486, 364, 514, 385, 535, 405, 555, 425, 575, 443, 593, 444, 594, 426, 576, 406, 556, 386, 536, 366, 516, 338, 488, 318, 468)(311, 461, 327, 477, 352, 502, 365, 515, 358, 508, 383, 533, 403, 553, 423, 573, 442, 592, 436, 586, 416, 566, 396, 546, 376, 526, 346, 496, 324, 474)(313, 463, 328, 478, 351, 501, 373, 523, 393, 543, 413, 563, 433, 583, 450, 600, 445, 595, 427, 577, 407, 557, 387, 537, 367, 517, 339, 489, 320, 470)(314, 464, 331, 481, 356, 506, 381, 531, 401, 551, 421, 571, 440, 590, 438, 588, 418, 568, 398, 548, 378, 528, 349, 499, 363, 513, 335, 485, 316, 466)(321, 471, 342, 492, 371, 521, 391, 541, 411, 561, 431, 581, 448, 598, 447, 597, 429, 579, 409, 559, 389, 539, 370, 520, 355, 505, 361, 511, 334, 484)(326, 476, 350, 500, 360, 510, 337, 487, 332, 482, 357, 507, 382, 532, 402, 552, 422, 572, 441, 591, 437, 587, 417, 567, 397, 547, 377, 527, 347, 497)(330, 480, 353, 503, 362, 512, 343, 493, 372, 522, 392, 542, 412, 562, 432, 582, 449, 599, 446, 596, 428, 578, 408, 558, 388, 538, 368, 518, 341, 491)
	L = (1, 303)(2, 307)(3, 310)(4, 312)(5, 301)(6, 317)(7, 319)(8, 302)(9, 304)(10, 325)(11, 327)(12, 329)(13, 328)(14, 331)(15, 305)(16, 314)(17, 336)(18, 306)(19, 340)(20, 313)(21, 342)(22, 308)(23, 309)(24, 311)(25, 348)(26, 350)(27, 352)(28, 351)(29, 354)(30, 353)(31, 356)(32, 357)(33, 315)(34, 321)(35, 316)(36, 364)(37, 332)(38, 318)(39, 320)(40, 369)(41, 330)(42, 371)(43, 372)(44, 322)(45, 323)(46, 324)(47, 326)(48, 379)(49, 363)(50, 360)(51, 373)(52, 365)(53, 362)(54, 380)(55, 361)(56, 381)(57, 382)(58, 383)(59, 333)(60, 337)(61, 334)(62, 343)(63, 335)(64, 385)(65, 358)(66, 338)(67, 339)(68, 341)(69, 390)(70, 355)(71, 391)(72, 392)(73, 393)(74, 344)(75, 345)(76, 346)(77, 347)(78, 349)(79, 399)(80, 400)(81, 401)(82, 402)(83, 403)(84, 359)(85, 405)(86, 366)(87, 367)(88, 368)(89, 370)(90, 410)(91, 411)(92, 412)(93, 413)(94, 374)(95, 375)(96, 376)(97, 377)(98, 378)(99, 419)(100, 420)(101, 421)(102, 422)(103, 423)(104, 384)(105, 425)(106, 386)(107, 387)(108, 388)(109, 389)(110, 430)(111, 431)(112, 432)(113, 433)(114, 394)(115, 395)(116, 396)(117, 397)(118, 398)(119, 424)(120, 439)(121, 440)(122, 441)(123, 442)(124, 404)(125, 443)(126, 406)(127, 407)(128, 408)(129, 409)(130, 434)(131, 448)(132, 449)(133, 450)(134, 414)(135, 415)(136, 416)(137, 417)(138, 418)(139, 435)(140, 438)(141, 437)(142, 436)(143, 444)(144, 426)(145, 427)(146, 428)(147, 429)(148, 447)(149, 446)(150, 445)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1375
Graph:: bipartite
	v = 25 e = 300 f = 225
	degree seq :: [ 20^15, 30^10 ]

E26.1375 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 15})
Quotient :: dipole
Aut^+ = C5 x D30 (small group id <150, 11>)
Aut   = D10 x D30 (small group id <300, 39>)
|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 * Y1^-1)^15 ]
Map:: polytopal
	R = (1, 151)(2, 152)(3, 153)(4, 154)(5, 155)(6, 156)(7, 157)(8, 158)(9, 159)(10, 160)(11, 161)(12, 162)(13, 163)(14, 164)(15, 165)(16, 166)(17, 167)(18, 168)(19, 169)(20, 170)(21, 171)(22, 172)(23, 173)(24, 174)(25, 175)(26, 176)(27, 177)(28, 178)(29, 179)(30, 180)(31, 181)(32, 182)(33, 183)(34, 184)(35, 185)(36, 186)(37, 187)(38, 188)(39, 189)(40, 190)(41, 191)(42, 192)(43, 193)(44, 194)(45, 195)(46, 196)(47, 197)(48, 198)(49, 199)(50, 200)(51, 201)(52, 202)(53, 203)(54, 204)(55, 205)(56, 206)(57, 207)(58, 208)(59, 209)(60, 210)(61, 211)(62, 212)(63, 213)(64, 214)(65, 215)(66, 216)(67, 217)(68, 218)(69, 219)(70, 220)(71, 221)(72, 222)(73, 223)(74, 224)(75, 225)(76, 226)(77, 227)(78, 228)(79, 229)(80, 230)(81, 231)(82, 232)(83, 233)(84, 234)(85, 235)(86, 236)(87, 237)(88, 238)(89, 239)(90, 240)(91, 241)(92, 242)(93, 243)(94, 244)(95, 245)(96, 246)(97, 247)(98, 248)(99, 249)(100, 250)(101, 251)(102, 252)(103, 253)(104, 254)(105, 255)(106, 256)(107, 257)(108, 258)(109, 259)(110, 260)(111, 261)(112, 262)(113, 263)(114, 264)(115, 265)(116, 266)(117, 267)(118, 268)(119, 269)(120, 270)(121, 271)(122, 272)(123, 273)(124, 274)(125, 275)(126, 276)(127, 277)(128, 278)(129, 279)(130, 280)(131, 281)(132, 282)(133, 283)(134, 284)(135, 285)(136, 286)(137, 287)(138, 288)(139, 289)(140, 290)(141, 291)(142, 292)(143, 293)(144, 294)(145, 295)(146, 296)(147, 297)(148, 298)(149, 299)(150, 300)(301, 451, 302, 452)(303, 453, 307, 457)(304, 454, 309, 459)(305, 455, 311, 461)(306, 456, 313, 463)(308, 458, 317, 467)(310, 460, 321, 471)(312, 462, 325, 475)(314, 464, 329, 479)(315, 465, 323, 473)(316, 466, 327, 477)(318, 468, 335, 485)(319, 469, 324, 474)(320, 470, 328, 478)(322, 472, 341, 491)(326, 476, 347, 497)(330, 480, 353, 503)(331, 481, 345, 495)(332, 482, 351, 501)(333, 483, 343, 493)(334, 484, 349, 499)(336, 486, 361, 511)(337, 487, 346, 496)(338, 488, 352, 502)(339, 489, 344, 494)(340, 490, 350, 500)(342, 492, 369, 519)(348, 498, 377, 527)(354, 504, 385, 535)(355, 505, 375, 525)(356, 506, 383, 533)(357, 507, 373, 523)(358, 508, 381, 531)(359, 509, 371, 521)(360, 510, 379, 529)(362, 512, 386, 536)(363, 513, 376, 526)(364, 514, 384, 534)(365, 515, 374, 524)(366, 516, 382, 532)(367, 517, 372, 522)(368, 518, 380, 530)(370, 520, 378, 528)(387, 537, 407, 557)(388, 538, 413, 563)(389, 539, 405, 555)(390, 540, 412, 562)(391, 541, 403, 553)(392, 542, 411, 561)(393, 543, 401, 551)(394, 544, 410, 560)(395, 545, 415, 565)(396, 546, 408, 558)(397, 547, 406, 556)(398, 548, 404, 554)(399, 549, 402, 552)(400, 550, 420, 570)(409, 559, 425, 575)(414, 564, 430, 580)(416, 566, 433, 583)(417, 567, 432, 582)(418, 568, 431, 581)(419, 569, 436, 586)(421, 571, 428, 578)(422, 572, 427, 577)(423, 573, 426, 576)(424, 574, 440, 590)(429, 579, 444, 594)(434, 584, 448, 598)(435, 585, 447, 597)(437, 587, 450, 600)(438, 588, 449, 599)(439, 589, 443, 593)(441, 591, 446, 596)(442, 592, 445, 595)
	L = (1, 303)(2, 305)(3, 308)(4, 301)(5, 312)(6, 302)(7, 315)(8, 318)(9, 319)(10, 304)(11, 323)(12, 326)(13, 327)(14, 306)(15, 331)(16, 307)(17, 333)(18, 336)(19, 337)(20, 309)(21, 339)(22, 310)(23, 343)(24, 311)(25, 345)(26, 348)(27, 349)(28, 313)(29, 351)(30, 314)(31, 355)(32, 316)(33, 357)(34, 317)(35, 359)(36, 362)(37, 363)(38, 320)(39, 365)(40, 321)(41, 367)(42, 322)(43, 371)(44, 324)(45, 373)(46, 325)(47, 375)(48, 378)(49, 379)(50, 328)(51, 381)(52, 329)(53, 383)(54, 330)(55, 387)(56, 332)(57, 389)(58, 334)(59, 391)(60, 335)(61, 393)(62, 395)(63, 396)(64, 338)(65, 397)(66, 340)(67, 398)(68, 341)(69, 399)(70, 342)(71, 401)(72, 344)(73, 403)(74, 346)(75, 405)(76, 347)(77, 407)(78, 409)(79, 410)(80, 350)(81, 411)(82, 352)(83, 412)(84, 353)(85, 413)(86, 354)(87, 369)(88, 356)(89, 368)(90, 358)(91, 366)(92, 360)(93, 364)(94, 361)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 370)(101, 385)(102, 372)(103, 384)(104, 374)(105, 382)(106, 376)(107, 380)(108, 377)(109, 429)(110, 430)(111, 431)(112, 432)(113, 433)(114, 386)(115, 388)(116, 390)(117, 392)(118, 394)(119, 424)(120, 439)(121, 440)(122, 441)(123, 442)(124, 400)(125, 402)(126, 404)(127, 406)(128, 408)(129, 434)(130, 447)(131, 448)(132, 449)(133, 450)(134, 414)(135, 415)(136, 416)(137, 417)(138, 418)(139, 438)(140, 437)(141, 436)(142, 435)(143, 425)(144, 426)(145, 427)(146, 428)(147, 446)(148, 445)(149, 444)(150, 443)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)
	local type(s) :: { ( 20, 30 ), ( 20, 30, 20, 30 ) }
Outer automorphisms :: reflexible
Dual of E26.1374
Graph:: simple bipartite
	v = 225 e = 300 f = 25
	degree seq :: [ 2^150, 4^75 ]

E26.1376 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 15})
Quotient :: dipole
Aut^+ = C5 x D30 (small group id <150, 11>)
Aut   = D10 x D30 (small group id <300, 39>)
|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^-2 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1, Y3 * Y1^-5 * Y3^-1 * Y1^-5, Y1^-2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3^-1 * Y1^-2 * Y3^-1, Y1^15, (Y3^-1 * Y1^-1)^10 ]
Map:: polytopal
	R = (1, 151, 2, 152, 5, 155, 11, 161, 23, 173, 43, 193, 71, 221, 101, 251, 124, 274, 100, 250, 70, 220, 42, 192, 22, 172, 10, 160, 4, 154)(3, 153, 7, 157, 15, 165, 31, 181, 55, 205, 87, 237, 115, 265, 134, 284, 128, 278, 103, 253, 72, 222, 62, 212, 36, 186, 18, 168, 8, 158)(6, 156, 13, 163, 27, 177, 51, 201, 83, 233, 69, 219, 99, 249, 123, 273, 142, 292, 126, 276, 102, 252, 86, 236, 54, 204, 30, 180, 14, 164)(9, 159, 19, 169, 37, 187, 63, 213, 96, 246, 120, 270, 139, 289, 130, 280, 106, 256, 74, 224, 44, 194, 73, 223, 64, 214, 38, 188, 20, 170)(12, 162, 25, 175, 47, 197, 79, 229, 68, 218, 41, 191, 67, 217, 98, 248, 122, 272, 141, 291, 125, 275, 112, 262, 82, 232, 50, 200, 26, 176)(16, 166, 28, 178, 48, 198, 76, 226, 104, 254, 95, 245, 114, 264, 133, 283, 146, 296, 148, 298, 135, 285, 119, 269, 91, 241, 58, 208, 33, 183)(17, 167, 29, 179, 49, 199, 77, 227, 105, 255, 127, 277, 143, 293, 149, 299, 136, 286, 116, 266, 88, 238, 113, 263, 92, 242, 59, 209, 34, 184)(21, 171, 39, 189, 65, 215, 97, 247, 121, 271, 140, 290, 132, 282, 109, 259, 78, 228, 46, 196, 24, 174, 45, 195, 75, 225, 66, 216, 40, 190)(32, 182, 52, 202, 80, 230, 107, 257, 94, 244, 61, 211, 85, 235, 111, 261, 131, 281, 145, 295, 147, 297, 138, 288, 118, 268, 90, 240, 57, 207)(35, 185, 53, 203, 81, 231, 108, 258, 129, 279, 144, 294, 150, 300, 137, 287, 117, 267, 89, 239, 56, 206, 84, 234, 110, 260, 93, 243, 60, 210)(301, 451)(302, 452)(303, 453)(304, 454)(305, 455)(306, 456)(307, 457)(308, 458)(309, 459)(310, 460)(311, 461)(312, 462)(313, 463)(314, 464)(315, 465)(316, 466)(317, 467)(318, 468)(319, 469)(320, 470)(321, 471)(322, 472)(323, 473)(324, 474)(325, 475)(326, 476)(327, 477)(328, 478)(329, 479)(330, 480)(331, 481)(332, 482)(333, 483)(334, 484)(335, 485)(336, 486)(337, 487)(338, 488)(339, 489)(340, 490)(341, 491)(342, 492)(343, 493)(344, 494)(345, 495)(346, 496)(347, 497)(348, 498)(349, 499)(350, 500)(351, 501)(352, 502)(353, 503)(354, 504)(355, 505)(356, 506)(357, 507)(358, 508)(359, 509)(360, 510)(361, 511)(362, 512)(363, 513)(364, 514)(365, 515)(366, 516)(367, 517)(368, 518)(369, 519)(370, 520)(371, 521)(372, 522)(373, 523)(374, 524)(375, 525)(376, 526)(377, 527)(378, 528)(379, 529)(380, 530)(381, 531)(382, 532)(383, 533)(384, 534)(385, 535)(386, 536)(387, 537)(388, 538)(389, 539)(390, 540)(391, 541)(392, 542)(393, 543)(394, 544)(395, 545)(396, 546)(397, 547)(398, 548)(399, 549)(400, 550)(401, 551)(402, 552)(403, 553)(404, 554)(405, 555)(406, 556)(407, 557)(408, 558)(409, 559)(410, 560)(411, 561)(412, 562)(413, 563)(414, 564)(415, 565)(416, 566)(417, 567)(418, 568)(419, 569)(420, 570)(421, 571)(422, 572)(423, 573)(424, 574)(425, 575)(426, 576)(427, 577)(428, 578)(429, 579)(430, 580)(431, 581)(432, 582)(433, 583)(434, 584)(435, 585)(436, 586)(437, 587)(438, 588)(439, 589)(440, 590)(441, 591)(442, 592)(443, 593)(444, 594)(445, 595)(446, 596)(447, 597)(448, 598)(449, 599)(450, 600)
	L = (1, 303)(2, 306)(3, 301)(4, 309)(5, 312)(6, 302)(7, 316)(8, 317)(9, 304)(10, 321)(11, 324)(12, 305)(13, 328)(14, 329)(15, 332)(16, 307)(17, 308)(18, 335)(19, 333)(20, 334)(21, 310)(22, 341)(23, 344)(24, 311)(25, 348)(26, 349)(27, 352)(28, 313)(29, 314)(30, 353)(31, 356)(32, 315)(33, 319)(34, 320)(35, 318)(36, 361)(37, 357)(38, 360)(39, 358)(40, 359)(41, 322)(42, 369)(43, 372)(44, 323)(45, 376)(46, 377)(47, 380)(48, 325)(49, 326)(50, 381)(51, 384)(52, 327)(53, 330)(54, 385)(55, 388)(56, 331)(57, 337)(58, 339)(59, 340)(60, 338)(61, 336)(62, 395)(63, 389)(64, 394)(65, 390)(66, 393)(67, 391)(68, 392)(69, 342)(70, 387)(71, 402)(72, 343)(73, 404)(74, 405)(75, 407)(76, 345)(77, 346)(78, 408)(79, 410)(80, 347)(81, 350)(82, 411)(83, 413)(84, 351)(85, 354)(86, 414)(87, 370)(88, 355)(89, 363)(90, 365)(91, 367)(92, 368)(93, 366)(94, 364)(95, 362)(96, 416)(97, 417)(98, 418)(99, 419)(100, 420)(101, 425)(102, 371)(103, 427)(104, 373)(105, 374)(106, 429)(107, 375)(108, 378)(109, 431)(110, 379)(111, 382)(112, 433)(113, 383)(114, 386)(115, 435)(116, 396)(117, 397)(118, 398)(119, 399)(120, 400)(121, 436)(122, 437)(123, 438)(124, 440)(125, 401)(126, 443)(127, 403)(128, 444)(129, 406)(130, 445)(131, 409)(132, 446)(133, 412)(134, 447)(135, 415)(136, 421)(137, 422)(138, 423)(139, 448)(140, 424)(141, 449)(142, 450)(143, 426)(144, 428)(145, 430)(146, 432)(147, 434)(148, 439)(149, 441)(150, 442)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1373
Graph:: simple bipartite
	v = 160 e = 300 f = 90
	degree seq :: [ 2^150, 30^10 ]

E26.1377 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 15})
Quotient :: dipole
Aut^+ = C5 x D30 (small group id <150, 11>)
Aut   = D10 x D30 (small group id <300, 39>)
|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, (Y2^5 * Y1)^2, Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^2, Y2^15, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 151, 2, 152)(3, 153, 7, 157)(4, 154, 9, 159)(5, 155, 11, 161)(6, 156, 13, 163)(8, 158, 17, 167)(10, 160, 21, 171)(12, 162, 25, 175)(14, 164, 29, 179)(15, 165, 23, 173)(16, 166, 27, 177)(18, 168, 35, 185)(19, 169, 24, 174)(20, 170, 28, 178)(22, 172, 41, 191)(26, 176, 47, 197)(30, 180, 53, 203)(31, 181, 45, 195)(32, 182, 51, 201)(33, 183, 43, 193)(34, 184, 49, 199)(36, 186, 61, 211)(37, 187, 46, 196)(38, 188, 52, 202)(39, 189, 44, 194)(40, 190, 50, 200)(42, 192, 69, 219)(48, 198, 77, 227)(54, 204, 85, 235)(55, 205, 75, 225)(56, 206, 83, 233)(57, 207, 73, 223)(58, 208, 81, 231)(59, 209, 71, 221)(60, 210, 79, 229)(62, 212, 86, 236)(63, 213, 76, 226)(64, 214, 84, 234)(65, 215, 74, 224)(66, 216, 82, 232)(67, 217, 72, 222)(68, 218, 80, 230)(70, 220, 78, 228)(87, 237, 107, 257)(88, 238, 113, 263)(89, 239, 105, 255)(90, 240, 112, 262)(91, 241, 103, 253)(92, 242, 111, 261)(93, 243, 101, 251)(94, 244, 110, 260)(95, 245, 115, 265)(96, 246, 108, 258)(97, 247, 106, 256)(98, 248, 104, 254)(99, 249, 102, 252)(100, 250, 120, 270)(109, 259, 125, 275)(114, 264, 130, 280)(116, 266, 133, 283)(117, 267, 132, 282)(118, 268, 131, 281)(119, 269, 136, 286)(121, 271, 128, 278)(122, 272, 127, 277)(123, 273, 126, 276)(124, 274, 140, 290)(129, 279, 144, 294)(134, 284, 148, 298)(135, 285, 147, 297)(137, 287, 150, 300)(138, 288, 149, 299)(139, 289, 143, 293)(141, 291, 146, 296)(142, 292, 145, 295)(301, 451, 303, 453, 308, 458, 318, 468, 336, 486, 362, 512, 395, 545, 419, 569, 424, 574, 400, 550, 370, 520, 342, 492, 322, 472, 310, 460, 304, 454)(302, 452, 305, 455, 312, 462, 326, 476, 348, 498, 378, 528, 409, 559, 429, 579, 434, 584, 414, 564, 386, 536, 354, 504, 330, 480, 314, 464, 306, 456)(307, 457, 315, 465, 331, 481, 355, 505, 387, 537, 369, 519, 399, 549, 423, 573, 442, 592, 435, 585, 415, 565, 388, 538, 356, 506, 332, 482, 316, 466)(309, 459, 319, 469, 337, 487, 363, 513, 396, 546, 420, 570, 439, 589, 438, 588, 418, 568, 394, 544, 361, 511, 393, 543, 364, 514, 338, 488, 320, 470)(311, 461, 323, 473, 343, 493, 371, 521, 401, 551, 385, 535, 413, 563, 433, 583, 450, 600, 443, 593, 425, 575, 402, 552, 372, 522, 344, 494, 324, 474)(313, 463, 327, 477, 349, 499, 379, 529, 410, 560, 430, 580, 447, 597, 446, 596, 428, 578, 408, 558, 377, 527, 407, 557, 380, 530, 350, 500, 328, 478)(317, 467, 333, 483, 357, 507, 389, 539, 368, 518, 341, 491, 367, 517, 398, 548, 422, 572, 441, 591, 436, 586, 416, 566, 390, 540, 358, 508, 334, 484)(321, 471, 339, 489, 365, 515, 397, 547, 421, 571, 440, 590, 437, 587, 417, 567, 392, 542, 360, 510, 335, 485, 359, 509, 391, 541, 366, 516, 340, 490)(325, 475, 345, 495, 373, 523, 403, 553, 384, 534, 353, 503, 383, 533, 412, 562, 432, 582, 449, 599, 444, 594, 426, 576, 404, 554, 374, 524, 346, 496)(329, 479, 351, 501, 381, 531, 411, 561, 431, 581, 448, 598, 445, 595, 427, 577, 406, 556, 376, 526, 347, 497, 375, 525, 405, 555, 382, 532, 352, 502)
	L = (1, 302)(2, 301)(3, 307)(4, 309)(5, 311)(6, 313)(7, 303)(8, 317)(9, 304)(10, 321)(11, 305)(12, 325)(13, 306)(14, 329)(15, 323)(16, 327)(17, 308)(18, 335)(19, 324)(20, 328)(21, 310)(22, 341)(23, 315)(24, 319)(25, 312)(26, 347)(27, 316)(28, 320)(29, 314)(30, 353)(31, 345)(32, 351)(33, 343)(34, 349)(35, 318)(36, 361)(37, 346)(38, 352)(39, 344)(40, 350)(41, 322)(42, 369)(43, 333)(44, 339)(45, 331)(46, 337)(47, 326)(48, 377)(49, 334)(50, 340)(51, 332)(52, 338)(53, 330)(54, 385)(55, 375)(56, 383)(57, 373)(58, 381)(59, 371)(60, 379)(61, 336)(62, 386)(63, 376)(64, 384)(65, 374)(66, 382)(67, 372)(68, 380)(69, 342)(70, 378)(71, 359)(72, 367)(73, 357)(74, 365)(75, 355)(76, 363)(77, 348)(78, 370)(79, 360)(80, 368)(81, 358)(82, 366)(83, 356)(84, 364)(85, 354)(86, 362)(87, 407)(88, 413)(89, 405)(90, 412)(91, 403)(92, 411)(93, 401)(94, 410)(95, 415)(96, 408)(97, 406)(98, 404)(99, 402)(100, 420)(101, 393)(102, 399)(103, 391)(104, 398)(105, 389)(106, 397)(107, 387)(108, 396)(109, 425)(110, 394)(111, 392)(112, 390)(113, 388)(114, 430)(115, 395)(116, 433)(117, 432)(118, 431)(119, 436)(120, 400)(121, 428)(122, 427)(123, 426)(124, 440)(125, 409)(126, 423)(127, 422)(128, 421)(129, 444)(130, 414)(131, 418)(132, 417)(133, 416)(134, 448)(135, 447)(136, 419)(137, 450)(138, 449)(139, 443)(140, 424)(141, 446)(142, 445)(143, 439)(144, 429)(145, 442)(146, 441)(147, 435)(148, 434)(149, 438)(150, 437)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1378
Graph:: bipartite
	v = 85 e = 300 f = 165
	degree seq :: [ 4^75, 30^10 ]

E26.1378 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 15})
Quotient :: dipole
Aut^+ = C5 x D30 (small group id <150, 11>)
Aut   = D10 x D30 (small group id <300, 39>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3 * Y1^2 * Y3^-1, Y1^10, (Y3^-4 * Y1)^2, (Y3 * Y2^-1)^15 ]
Map:: polytopal
	R = (1, 151, 2, 152, 6, 156, 16, 166, 34, 184, 60, 210, 53, 203, 27, 177, 13, 163, 4, 154)(3, 153, 9, 159, 17, 167, 8, 158, 21, 171, 35, 185, 62, 212, 50, 200, 28, 178, 11, 161)(5, 155, 14, 164, 18, 168, 37, 187, 61, 211, 52, 202, 30, 180, 12, 162, 20, 170, 7, 157)(10, 160, 24, 174, 36, 186, 23, 173, 42, 192, 22, 172, 43, 193, 63, 213, 51, 201, 26, 176)(15, 165, 32, 182, 38, 188, 65, 215, 55, 205, 29, 179, 41, 191, 19, 169, 39, 189, 31, 181)(25, 175, 47, 197, 64, 214, 46, 196, 71, 221, 45, 195, 72, 222, 44, 194, 73, 223, 49, 199)(33, 183, 58, 208, 66, 216, 54, 204, 70, 220, 40, 190, 68, 218, 56, 206, 67, 217, 57, 207)(48, 198, 78, 228, 85, 235, 77, 227, 91, 241, 76, 226, 92, 242, 75, 225, 93, 243, 74, 224)(59, 209, 80, 230, 86, 236, 69, 219, 89, 239, 81, 231, 88, 238, 82, 232, 87, 237, 83, 233)(79, 229, 94, 244, 105, 255, 98, 248, 111, 261, 97, 247, 112, 262, 96, 246, 113, 263, 95, 245)(84, 234, 90, 240, 106, 256, 101, 251, 109, 259, 102, 252, 108, 258, 103, 253, 107, 257, 100, 250)(99, 249, 115, 265, 125, 275, 114, 264, 131, 281, 118, 268, 132, 282, 117, 267, 133, 283, 116, 266)(104, 254, 121, 271, 126, 276, 122, 272, 129, 279, 123, 273, 128, 278, 120, 270, 127, 277, 110, 260)(119, 269, 136, 286, 143, 293, 135, 285, 148, 298, 134, 284, 149, 299, 138, 288, 150, 300, 137, 287)(124, 274, 141, 291, 144, 294, 142, 292, 147, 297, 139, 289, 146, 296, 130, 280, 145, 295, 140, 290)(301, 451)(302, 452)(303, 453)(304, 454)(305, 455)(306, 456)(307, 457)(308, 458)(309, 459)(310, 460)(311, 461)(312, 462)(313, 463)(314, 464)(315, 465)(316, 466)(317, 467)(318, 468)(319, 469)(320, 470)(321, 471)(322, 472)(323, 473)(324, 474)(325, 475)(326, 476)(327, 477)(328, 478)(329, 479)(330, 480)(331, 481)(332, 482)(333, 483)(334, 484)(335, 485)(336, 486)(337, 487)(338, 488)(339, 489)(340, 490)(341, 491)(342, 492)(343, 493)(344, 494)(345, 495)(346, 496)(347, 497)(348, 498)(349, 499)(350, 500)(351, 501)(352, 502)(353, 503)(354, 504)(355, 505)(356, 506)(357, 507)(358, 508)(359, 509)(360, 510)(361, 511)(362, 512)(363, 513)(364, 514)(365, 515)(366, 516)(367, 517)(368, 518)(369, 519)(370, 520)(371, 521)(372, 522)(373, 523)(374, 524)(375, 525)(376, 526)(377, 527)(378, 528)(379, 529)(380, 530)(381, 531)(382, 532)(383, 533)(384, 534)(385, 535)(386, 536)(387, 537)(388, 538)(389, 539)(390, 540)(391, 541)(392, 542)(393, 543)(394, 544)(395, 545)(396, 546)(397, 547)(398, 548)(399, 549)(400, 550)(401, 551)(402, 552)(403, 553)(404, 554)(405, 555)(406, 556)(407, 557)(408, 558)(409, 559)(410, 560)(411, 561)(412, 562)(413, 563)(414, 564)(415, 565)(416, 566)(417, 567)(418, 568)(419, 569)(420, 570)(421, 571)(422, 572)(423, 573)(424, 574)(425, 575)(426, 576)(427, 577)(428, 578)(429, 579)(430, 580)(431, 581)(432, 582)(433, 583)(434, 584)(435, 585)(436, 586)(437, 587)(438, 588)(439, 589)(440, 590)(441, 591)(442, 592)(443, 593)(444, 594)(445, 595)(446, 596)(447, 597)(448, 598)(449, 599)(450, 600)
	L = (1, 303)(2, 307)(3, 310)(4, 312)(5, 301)(6, 317)(7, 319)(8, 302)(9, 304)(10, 325)(11, 327)(12, 329)(13, 328)(14, 331)(15, 305)(16, 314)(17, 336)(18, 306)(19, 340)(20, 313)(21, 342)(22, 308)(23, 309)(24, 311)(25, 348)(26, 350)(27, 352)(28, 351)(29, 354)(30, 353)(31, 356)(32, 357)(33, 315)(34, 321)(35, 316)(36, 364)(37, 332)(38, 318)(39, 320)(40, 369)(41, 330)(42, 371)(43, 372)(44, 322)(45, 323)(46, 324)(47, 326)(48, 379)(49, 363)(50, 360)(51, 373)(52, 365)(53, 362)(54, 380)(55, 361)(56, 381)(57, 382)(58, 383)(59, 333)(60, 337)(61, 334)(62, 343)(63, 335)(64, 385)(65, 358)(66, 338)(67, 339)(68, 341)(69, 390)(70, 355)(71, 391)(72, 392)(73, 393)(74, 344)(75, 345)(76, 346)(77, 347)(78, 349)(79, 399)(80, 400)(81, 401)(82, 402)(83, 403)(84, 359)(85, 405)(86, 366)(87, 367)(88, 368)(89, 370)(90, 410)(91, 411)(92, 412)(93, 413)(94, 374)(95, 375)(96, 376)(97, 377)(98, 378)(99, 419)(100, 420)(101, 421)(102, 422)(103, 423)(104, 384)(105, 425)(106, 386)(107, 387)(108, 388)(109, 389)(110, 430)(111, 431)(112, 432)(113, 433)(114, 394)(115, 395)(116, 396)(117, 397)(118, 398)(119, 424)(120, 439)(121, 440)(122, 441)(123, 442)(124, 404)(125, 443)(126, 406)(127, 407)(128, 408)(129, 409)(130, 434)(131, 448)(132, 449)(133, 450)(134, 414)(135, 415)(136, 416)(137, 417)(138, 418)(139, 435)(140, 438)(141, 437)(142, 436)(143, 444)(144, 426)(145, 427)(146, 428)(147, 429)(148, 447)(149, 446)(150, 445)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1377
Graph:: simple bipartite
	v = 165 e = 300 f = 85
	degree seq :: [ 2^150, 20^15 ]

E26.1379 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 78})
Quotient :: regular
Aut^+ = C6 x D26 (small group id <156, 15>)
Aut   = C2 x S3 x D26 (small group id <312, 54>)
|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^-3 * T2 * T1^10 * T2 * T1^-13 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 39, 53, 65, 77, 89, 101, 113, 125, 137, 149, 145, 132, 121, 109, 96, 85, 73, 60, 49, 33, 16, 28, 42, 35, 46, 58, 70, 82, 94, 106, 118, 130, 142, 154, 156, 155, 144, 133, 120, 108, 97, 84, 72, 61, 48, 32, 45, 34, 17, 29, 43, 56, 68, 80, 92, 104, 116, 128, 140, 152, 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, 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, 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, 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, 155)(147, 149)(148, 151)(153, 156)
	local type(s) :: { ( 6^78 ) }
Outer automorphisms :: reflexible
Dual of E26.1380
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 78 f = 26
	degree seq :: [ 78^2 ]

E26.1380 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 78})
Quotient :: regular
Aut^+ = C6 x D26 (small group id <156, 15>)
Aut   = C2 x S3 x D26 (small group id <312, 54>)
|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^-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, 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^-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, 115, 57, 119, 56, 117)(58, 114, 62, 112, 67, 110)(59, 107, 68, 106, 61, 108)(60, 121, 69, 126, 74, 122)(63, 123, 76, 125, 66, 124)(64, 98, 77, 97, 65, 99)(70, 94, 75, 96, 71, 95)(72, 127, 84, 131, 73, 129)(78, 132, 83, 136, 79, 134)(80, 85, 82, 87, 81, 86)(88, 139, 90, 143, 89, 141)(91, 145, 93, 149, 92, 147)(100, 146, 102, 150, 101, 148)(103, 144, 105, 142, 104, 140)(109, 151, 113, 155, 111, 153)(116, 137, 120, 135, 118, 133)(128, 154, 138, 152, 130, 156)
	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, 109)(53, 111)(54, 113)(58, 99)(59, 95)(60, 108)(61, 96)(62, 98)(63, 114)(64, 86)(65, 87)(66, 110)(67, 97)(68, 94)(69, 107)(70, 80)(71, 81)(72, 121)(73, 122)(74, 106)(75, 82)(76, 112)(77, 85)(78, 123)(79, 124)(83, 125)(84, 126)(88, 127)(89, 129)(90, 131)(91, 132)(92, 134)(93, 136)(100, 139)(101, 141)(102, 143)(103, 145)(104, 147)(105, 149)(115, 138)(116, 146)(117, 128)(118, 148)(119, 130)(120, 150)(133, 153)(135, 155)(137, 151)(140, 154)(142, 156)(144, 152)
	local type(s) :: { ( 78^6 ) }
Outer automorphisms :: reflexible
Dual of E26.1379
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 26 e = 78 f = 2
	degree seq :: [ 6^26 ]

E26.1381 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 78})
Quotient :: edge
Aut^+ = C6 x D26 (small group id <156, 15>)
Aut   = C2 x S3 x D26 (small group id <312, 54>)
|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^-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 * 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^-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, 60, 54, 70, 53, 61)(58, 91, 63, 93, 65, 92)(59, 96, 67, 104, 69, 97)(62, 99, 72, 101, 64, 94)(66, 103, 76, 106, 68, 95)(71, 108, 74, 100, 73, 98)(75, 112, 78, 105, 77, 102)(79, 110, 81, 109, 80, 107)(82, 114, 84, 113, 83, 111)(85, 117, 87, 116, 86, 115)(88, 120, 90, 119, 89, 118)(121, 127, 123, 129, 122, 128)(124, 134, 126, 136, 125, 135)(130, 155, 139, 154, 131, 156)(132, 152, 143, 151, 133, 153)(137, 148, 140, 150, 138, 149)(141, 145, 144, 147, 142, 146)(157, 158)(159, 163)(160, 165)(161, 167)(162, 169)(164, 168)(166, 170)(171, 179)(172, 181)(173, 180)(174, 182)(175, 183)(176, 185)(177, 184)(178, 186)(187, 193)(188, 194)(189, 195)(190, 196)(191, 197)(192, 198)(199, 205)(200, 206)(201, 207)(202, 208)(203, 209)(204, 210)(211, 247)(212, 248)(213, 249)(214, 250)(215, 251)(216, 252)(217, 253)(218, 254)(219, 255)(220, 256)(221, 257)(222, 258)(223, 259)(224, 261)(225, 262)(226, 260)(227, 263)(228, 264)(229, 265)(230, 266)(231, 267)(232, 268)(233, 269)(234, 270)(235, 271)(236, 272)(237, 273)(238, 274)(239, 275)(240, 276)(241, 277)(242, 278)(243, 279)(244, 280)(245, 281)(246, 282)(283, 311)(284, 312)(285, 310)(286, 305)(287, 306)(288, 302)(289, 303)(290, 308)(291, 309)(292, 307)(293, 297)(294, 298)(295, 304)(296, 300)(299, 301)
	L = (1, 157)(2, 158)(3, 159)(4, 160)(5, 161)(6, 162)(7, 163)(8, 164)(9, 165)(10, 166)(11, 167)(12, 168)(13, 169)(14, 170)(15, 171)(16, 172)(17, 173)(18, 174)(19, 175)(20, 176)(21, 177)(22, 178)(23, 179)(24, 180)(25, 181)(26, 182)(27, 183)(28, 184)(29, 185)(30, 186)(31, 187)(32, 188)(33, 189)(34, 190)(35, 191)(36, 192)(37, 193)(38, 194)(39, 195)(40, 196)(41, 197)(42, 198)(43, 199)(44, 200)(45, 201)(46, 202)(47, 203)(48, 204)(49, 205)(50, 206)(51, 207)(52, 208)(53, 209)(54, 210)(55, 211)(56, 212)(57, 213)(58, 214)(59, 215)(60, 216)(61, 217)(62, 218)(63, 219)(64, 220)(65, 221)(66, 222)(67, 223)(68, 224)(69, 225)(70, 226)(71, 227)(72, 228)(73, 229)(74, 230)(75, 231)(76, 232)(77, 233)(78, 234)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	local type(s) :: { ( 156, 156 ), ( 156^6 ) }
Outer automorphisms :: reflexible
Dual of E26.1385
Transitivity :: ET+
Graph:: simple bipartite
	v = 104 e = 156 f = 2
	degree seq :: [ 2^78, 6^26 ]

E26.1382 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 78})
Quotient :: edge
Aut^+ = C6 x D26 (small group id <156, 15>)
Aut   = C2 x S3 x D26 (small group id <312, 54>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^-1 * T1^-3, (T2^-2 * T1)^2, T1^6, T1 * T2^-25 * T1^-1 * T2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 37, 49, 61, 73, 85, 97, 109, 121, 133, 145, 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, 156, 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, 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, 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, 155, 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, 154, 142, 130, 118, 106, 94, 82, 70, 58, 46, 34, 22, 8)(157, 158, 162, 172, 169, 160)(159, 165, 173, 164, 177, 167)(161, 170, 174, 168, 176, 163)(166, 180, 185, 179, 189, 178)(171, 182, 186, 175, 187, 183)(181, 190, 197, 192, 201, 191)(184, 188, 198, 195, 199, 194)(193, 203, 209, 202, 213, 204)(196, 207, 210, 206, 211, 200)(205, 216, 221, 215, 225, 214)(208, 218, 222, 212, 223, 219)(217, 226, 233, 228, 237, 227)(220, 224, 234, 231, 235, 230)(229, 239, 245, 238, 249, 240)(232, 243, 246, 242, 247, 236)(241, 252, 257, 251, 261, 250)(244, 254, 258, 248, 259, 255)(253, 262, 269, 264, 273, 263)(256, 260, 270, 267, 271, 266)(265, 275, 281, 274, 285, 276)(268, 279, 282, 278, 283, 272)(277, 288, 293, 287, 297, 286)(280, 290, 294, 284, 295, 291)(289, 298, 305, 300, 309, 299)(292, 296, 306, 303, 307, 302)(301, 308, 304, 310, 312, 311)
	L = (1, 157)(2, 158)(3, 159)(4, 160)(5, 161)(6, 162)(7, 163)(8, 164)(9, 165)(10, 166)(11, 167)(12, 168)(13, 169)(14, 170)(15, 171)(16, 172)(17, 173)(18, 174)(19, 175)(20, 176)(21, 177)(22, 178)(23, 179)(24, 180)(25, 181)(26, 182)(27, 183)(28, 184)(29, 185)(30, 186)(31, 187)(32, 188)(33, 189)(34, 190)(35, 191)(36, 192)(37, 193)(38, 194)(39, 195)(40, 196)(41, 197)(42, 198)(43, 199)(44, 200)(45, 201)(46, 202)(47, 203)(48, 204)(49, 205)(50, 206)(51, 207)(52, 208)(53, 209)(54, 210)(55, 211)(56, 212)(57, 213)(58, 214)(59, 215)(60, 216)(61, 217)(62, 218)(63, 219)(64, 220)(65, 221)(66, 222)(67, 223)(68, 224)(69, 225)(70, 226)(71, 227)(72, 228)(73, 229)(74, 230)(75, 231)(76, 232)(77, 233)(78, 234)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	local type(s) :: { ( 4^6 ), ( 4^78 ) }
Outer automorphisms :: reflexible
Dual of E26.1386
Transitivity :: ET+
Graph:: bipartite
	v = 28 e = 156 f = 78
	degree seq :: [ 6^26, 78^2 ]

E26.1383 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 78})
Quotient :: edge
Aut^+ = C6 x D26 (small group id <156, 15>)
Aut   = C2 x S3 x D26 (small group id <312, 54>)
|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^-3 * T2 * T1^10 * T2 * T1^-13 ]
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, 155)(147, 149)(148, 151)(153, 156)(157, 158, 161, 167, 179, 195, 209, 221, 233, 245, 257, 269, 281, 293, 305, 301, 288, 277, 265, 252, 241, 229, 216, 205, 189, 172, 184, 198, 191, 202, 214, 226, 238, 250, 262, 274, 286, 298, 310, 312, 311, 300, 289, 276, 264, 253, 240, 228, 217, 204, 188, 201, 190, 173, 185, 199, 212, 224, 236, 248, 260, 272, 284, 296, 308, 304, 292, 280, 268, 256, 244, 232, 220, 208, 194, 178, 166, 160)(159, 163, 171, 187, 203, 215, 227, 239, 251, 263, 275, 287, 299, 306, 297, 283, 270, 261, 247, 234, 225, 211, 196, 186, 170, 162, 169, 183, 177, 193, 207, 219, 231, 243, 255, 267, 279, 291, 303, 309, 295, 282, 273, 259, 246, 237, 223, 210, 200, 182, 168, 181, 176, 165, 175, 192, 206, 218, 230, 242, 254, 266, 278, 290, 302, 307, 294, 285, 271, 258, 249, 235, 222, 213, 197, 180, 174, 164)
	L = (1, 157)(2, 158)(3, 159)(4, 160)(5, 161)(6, 162)(7, 163)(8, 164)(9, 165)(10, 166)(11, 167)(12, 168)(13, 169)(14, 170)(15, 171)(16, 172)(17, 173)(18, 174)(19, 175)(20, 176)(21, 177)(22, 178)(23, 179)(24, 180)(25, 181)(26, 182)(27, 183)(28, 184)(29, 185)(30, 186)(31, 187)(32, 188)(33, 189)(34, 190)(35, 191)(36, 192)(37, 193)(38, 194)(39, 195)(40, 196)(41, 197)(42, 198)(43, 199)(44, 200)(45, 201)(46, 202)(47, 203)(48, 204)(49, 205)(50, 206)(51, 207)(52, 208)(53, 209)(54, 210)(55, 211)(56, 212)(57, 213)(58, 214)(59, 215)(60, 216)(61, 217)(62, 218)(63, 219)(64, 220)(65, 221)(66, 222)(67, 223)(68, 224)(69, 225)(70, 226)(71, 227)(72, 228)(73, 229)(74, 230)(75, 231)(76, 232)(77, 233)(78, 234)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	local type(s) :: { ( 12, 12 ), ( 12^78 ) }
Outer automorphisms :: reflexible
Dual of E26.1384
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 156 f = 26
	degree seq :: [ 2^78, 78^2 ]

E26.1384 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 78})
Quotient :: loop
Aut^+ = C6 x D26 (small group id <156, 15>)
Aut   = C2 x S3 x D26 (small group id <312, 54>)
|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^-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 * 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^-3 * T1 ]
Map::
	R = (1, 157, 3, 159, 8, 164, 17, 173, 10, 166, 4, 160)(2, 158, 5, 161, 12, 168, 21, 177, 14, 170, 6, 162)(7, 163, 15, 171, 24, 180, 18, 174, 9, 165, 16, 172)(11, 167, 19, 175, 28, 184, 22, 178, 13, 169, 20, 176)(23, 179, 31, 187, 26, 182, 33, 189, 25, 181, 32, 188)(27, 183, 34, 190, 30, 186, 36, 192, 29, 185, 35, 191)(37, 193, 43, 199, 39, 195, 45, 201, 38, 194, 44, 200)(40, 196, 46, 202, 42, 198, 48, 204, 41, 197, 47, 203)(49, 205, 55, 211, 51, 207, 57, 213, 50, 206, 56, 212)(52, 208, 64, 220, 54, 210, 58, 214, 53, 209, 63, 219)(59, 215, 87, 243, 67, 223, 85, 241, 60, 216, 89, 245)(61, 217, 98, 254, 71, 227, 102, 258, 62, 218, 91, 247)(65, 221, 106, 262, 68, 224, 95, 251, 66, 222, 93, 249)(69, 225, 114, 270, 72, 228, 100, 256, 70, 226, 97, 253)(73, 229, 111, 267, 75, 231, 108, 264, 74, 230, 105, 261)(76, 232, 119, 275, 78, 234, 116, 272, 77, 233, 113, 269)(79, 235, 125, 281, 81, 237, 123, 279, 80, 236, 121, 277)(82, 238, 131, 287, 84, 240, 129, 285, 83, 239, 127, 283)(86, 242, 137, 293, 90, 246, 135, 291, 88, 244, 133, 289)(92, 248, 141, 297, 103, 259, 139, 295, 104, 260, 143, 299)(94, 250, 145, 301, 110, 266, 146, 302, 96, 252, 148, 304)(99, 255, 155, 311, 118, 274, 151, 307, 101, 257, 152, 308)(107, 263, 156, 312, 112, 268, 154, 310, 109, 265, 153, 309)(115, 271, 149, 305, 120, 276, 147, 303, 117, 273, 150, 306)(122, 278, 140, 296, 126, 282, 144, 300, 124, 280, 142, 298)(128, 284, 134, 290, 132, 288, 138, 294, 130, 286, 136, 292)
	L = (1, 158)(2, 157)(3, 163)(4, 165)(5, 167)(6, 169)(7, 159)(8, 168)(9, 160)(10, 170)(11, 161)(12, 164)(13, 162)(14, 166)(15, 179)(16, 181)(17, 180)(18, 182)(19, 183)(20, 185)(21, 184)(22, 186)(23, 171)(24, 173)(25, 172)(26, 174)(27, 175)(28, 177)(29, 176)(30, 178)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 187)(38, 188)(39, 189)(40, 190)(41, 191)(42, 192)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 199)(50, 200)(51, 201)(52, 202)(53, 203)(54, 204)(55, 241)(56, 243)(57, 245)(58, 247)(59, 249)(60, 251)(61, 253)(62, 256)(63, 254)(64, 258)(65, 261)(66, 264)(67, 262)(68, 267)(69, 269)(70, 272)(71, 270)(72, 275)(73, 277)(74, 279)(75, 281)(76, 283)(77, 285)(78, 287)(79, 289)(80, 291)(81, 293)(82, 295)(83, 297)(84, 299)(85, 211)(86, 302)(87, 212)(88, 301)(89, 213)(90, 304)(91, 214)(92, 308)(93, 215)(94, 309)(95, 216)(96, 310)(97, 217)(98, 219)(99, 306)(100, 218)(101, 303)(102, 220)(103, 311)(104, 307)(105, 221)(106, 223)(107, 298)(108, 222)(109, 300)(110, 312)(111, 224)(112, 296)(113, 225)(114, 227)(115, 292)(116, 226)(117, 294)(118, 305)(119, 228)(120, 290)(121, 229)(122, 284)(123, 230)(124, 286)(125, 231)(126, 288)(127, 232)(128, 278)(129, 233)(130, 280)(131, 234)(132, 282)(133, 235)(134, 276)(135, 236)(136, 271)(137, 237)(138, 273)(139, 238)(140, 268)(141, 239)(142, 263)(143, 240)(144, 265)(145, 244)(146, 242)(147, 257)(148, 246)(149, 274)(150, 255)(151, 260)(152, 248)(153, 250)(154, 252)(155, 259)(156, 266)
	local type(s) :: { ( 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78 ) }
Outer automorphisms :: reflexible
Dual of E26.1383
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 26 e = 156 f = 80
	degree seq :: [ 12^26 ]

E26.1385 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 78})
Quotient :: loop
Aut^+ = C6 x D26 (small group id <156, 15>)
Aut   = C2 x S3 x D26 (small group id <312, 54>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^-1 * T1^-3, (T2^-2 * T1)^2, T1^6, T1 * T2^-25 * T1^-1 * T2 ]
Map::
	R = (1, 157, 3, 159, 10, 166, 25, 181, 37, 193, 49, 205, 61, 217, 73, 229, 85, 241, 97, 253, 109, 265, 121, 277, 133, 289, 145, 301, 151, 307, 139, 295, 127, 283, 115, 271, 103, 259, 91, 247, 79, 235, 67, 223, 55, 211, 43, 199, 31, 187, 20, 176, 13, 169, 21, 177, 33, 189, 45, 201, 57, 213, 69, 225, 81, 237, 93, 249, 105, 261, 117, 273, 129, 285, 141, 297, 153, 309, 156, 312, 150, 306, 138, 294, 126, 282, 114, 270, 102, 258, 90, 246, 78, 234, 66, 222, 54, 210, 42, 198, 30, 186, 18, 174, 6, 162, 17, 173, 29, 185, 41, 197, 53, 209, 65, 221, 77, 233, 89, 245, 101, 257, 113, 269, 125, 281, 137, 293, 149, 305, 148, 304, 136, 292, 124, 280, 112, 268, 100, 256, 88, 244, 76, 232, 64, 220, 52, 208, 40, 196, 28, 184, 15, 171, 5, 161)(2, 158, 7, 163, 19, 175, 32, 188, 44, 200, 56, 212, 68, 224, 80, 236, 92, 248, 104, 260, 116, 272, 128, 284, 140, 296, 152, 308, 143, 299, 131, 287, 119, 275, 107, 263, 95, 251, 83, 239, 71, 227, 59, 215, 47, 203, 35, 191, 23, 179, 9, 165, 4, 160, 12, 168, 26, 182, 38, 194, 50, 206, 62, 218, 74, 230, 86, 242, 98, 254, 110, 266, 122, 278, 134, 290, 146, 302, 155, 311, 144, 300, 132, 288, 120, 276, 108, 264, 96, 252, 84, 240, 72, 228, 60, 216, 48, 204, 36, 192, 24, 180, 11, 167, 16, 172, 14, 170, 27, 183, 39, 195, 51, 207, 63, 219, 75, 231, 87, 243, 99, 255, 111, 267, 123, 279, 135, 291, 147, 303, 154, 310, 142, 298, 130, 286, 118, 274, 106, 262, 94, 250, 82, 238, 70, 226, 58, 214, 46, 202, 34, 190, 22, 178, 8, 164)
	L = (1, 158)(2, 162)(3, 165)(4, 157)(5, 170)(6, 172)(7, 161)(8, 177)(9, 173)(10, 180)(11, 159)(12, 176)(13, 160)(14, 174)(15, 182)(16, 169)(17, 164)(18, 168)(19, 187)(20, 163)(21, 167)(22, 166)(23, 189)(24, 185)(25, 190)(26, 186)(27, 171)(28, 188)(29, 179)(30, 175)(31, 183)(32, 198)(33, 178)(34, 197)(35, 181)(36, 201)(37, 203)(38, 184)(39, 199)(40, 207)(41, 192)(42, 195)(43, 194)(44, 196)(45, 191)(46, 213)(47, 209)(48, 193)(49, 216)(50, 211)(51, 210)(52, 218)(53, 202)(54, 206)(55, 200)(56, 223)(57, 204)(58, 205)(59, 225)(60, 221)(61, 226)(62, 222)(63, 208)(64, 224)(65, 215)(66, 212)(67, 219)(68, 234)(69, 214)(70, 233)(71, 217)(72, 237)(73, 239)(74, 220)(75, 235)(76, 243)(77, 228)(78, 231)(79, 230)(80, 232)(81, 227)(82, 249)(83, 245)(84, 229)(85, 252)(86, 247)(87, 246)(88, 254)(89, 238)(90, 242)(91, 236)(92, 259)(93, 240)(94, 241)(95, 261)(96, 257)(97, 262)(98, 258)(99, 244)(100, 260)(101, 251)(102, 248)(103, 255)(104, 270)(105, 250)(106, 269)(107, 253)(108, 273)(109, 275)(110, 256)(111, 271)(112, 279)(113, 264)(114, 267)(115, 266)(116, 268)(117, 263)(118, 285)(119, 281)(120, 265)(121, 288)(122, 283)(123, 282)(124, 290)(125, 274)(126, 278)(127, 272)(128, 295)(129, 276)(130, 277)(131, 297)(132, 293)(133, 298)(134, 294)(135, 280)(136, 296)(137, 287)(138, 284)(139, 291)(140, 306)(141, 286)(142, 305)(143, 289)(144, 309)(145, 308)(146, 292)(147, 307)(148, 310)(149, 300)(150, 303)(151, 302)(152, 304)(153, 299)(154, 312)(155, 301)(156, 311)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1381
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 156 f = 104
	degree seq :: [ 156^2 ]

E26.1386 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 78})
Quotient :: loop
Aut^+ = C6 x D26 (small group id <156, 15>)
Aut   = C2 x S3 x D26 (small group id <312, 54>)
|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^-3 * T2 * T1^10 * T2 * T1^-13 ]
Map:: polytopal non-degenerate
	R = (1, 157, 3, 159)(2, 158, 6, 162)(4, 160, 9, 165)(5, 161, 12, 168)(7, 163, 16, 172)(8, 164, 17, 173)(10, 166, 21, 177)(11, 167, 24, 180)(13, 169, 28, 184)(14, 170, 29, 185)(15, 171, 32, 188)(18, 174, 35, 191)(19, 175, 33, 189)(20, 176, 34, 190)(22, 178, 31, 187)(23, 179, 40, 196)(25, 181, 42, 198)(26, 182, 43, 199)(27, 183, 45, 201)(30, 186, 46, 202)(36, 192, 48, 204)(37, 193, 49, 205)(38, 194, 50, 206)(39, 195, 54, 210)(41, 197, 56, 212)(44, 200, 58, 214)(47, 203, 60, 216)(51, 207, 61, 217)(52, 208, 63, 219)(53, 209, 66, 222)(55, 211, 68, 224)(57, 213, 70, 226)(59, 215, 72, 228)(62, 218, 73, 229)(64, 220, 71, 227)(65, 221, 78, 234)(67, 223, 80, 236)(69, 225, 82, 238)(74, 230, 84, 240)(75, 231, 85, 241)(76, 232, 86, 242)(77, 233, 90, 246)(79, 235, 92, 248)(81, 237, 94, 250)(83, 239, 96, 252)(87, 243, 97, 253)(88, 244, 99, 255)(89, 245, 102, 258)(91, 247, 104, 260)(93, 249, 106, 262)(95, 251, 108, 264)(98, 254, 109, 265)(100, 256, 107, 263)(101, 257, 114, 270)(103, 259, 116, 272)(105, 261, 118, 274)(110, 266, 120, 276)(111, 267, 121, 277)(112, 268, 122, 278)(113, 269, 126, 282)(115, 271, 128, 284)(117, 273, 130, 286)(119, 275, 132, 288)(123, 279, 133, 289)(124, 280, 135, 291)(125, 281, 138, 294)(127, 283, 140, 296)(129, 285, 142, 298)(131, 287, 144, 300)(134, 290, 145, 301)(136, 292, 143, 299)(137, 293, 150, 306)(139, 295, 152, 308)(141, 297, 154, 310)(146, 302, 155, 311)(147, 303, 149, 305)(148, 304, 151, 307)(153, 309, 156, 312)
	L = (1, 158)(2, 161)(3, 163)(4, 157)(5, 167)(6, 169)(7, 171)(8, 159)(9, 175)(10, 160)(11, 179)(12, 181)(13, 183)(14, 162)(15, 187)(16, 184)(17, 185)(18, 164)(19, 192)(20, 165)(21, 193)(22, 166)(23, 195)(24, 174)(25, 176)(26, 168)(27, 177)(28, 198)(29, 199)(30, 170)(31, 203)(32, 201)(33, 172)(34, 173)(35, 202)(36, 206)(37, 207)(38, 178)(39, 209)(40, 186)(41, 180)(42, 191)(43, 212)(44, 182)(45, 190)(46, 214)(47, 215)(48, 188)(49, 189)(50, 218)(51, 219)(52, 194)(53, 221)(54, 200)(55, 196)(56, 224)(57, 197)(58, 226)(59, 227)(60, 205)(61, 204)(62, 230)(63, 231)(64, 208)(65, 233)(66, 213)(67, 210)(68, 236)(69, 211)(70, 238)(71, 239)(72, 217)(73, 216)(74, 242)(75, 243)(76, 220)(77, 245)(78, 225)(79, 222)(80, 248)(81, 223)(82, 250)(83, 251)(84, 228)(85, 229)(86, 254)(87, 255)(88, 232)(89, 257)(90, 237)(91, 234)(92, 260)(93, 235)(94, 262)(95, 263)(96, 241)(97, 240)(98, 266)(99, 267)(100, 244)(101, 269)(102, 249)(103, 246)(104, 272)(105, 247)(106, 274)(107, 275)(108, 253)(109, 252)(110, 278)(111, 279)(112, 256)(113, 281)(114, 261)(115, 258)(116, 284)(117, 259)(118, 286)(119, 287)(120, 264)(121, 265)(122, 290)(123, 291)(124, 268)(125, 293)(126, 273)(127, 270)(128, 296)(129, 271)(130, 298)(131, 299)(132, 277)(133, 276)(134, 302)(135, 303)(136, 280)(137, 305)(138, 285)(139, 282)(140, 308)(141, 283)(142, 310)(143, 306)(144, 289)(145, 288)(146, 307)(147, 309)(148, 292)(149, 301)(150, 297)(151, 294)(152, 304)(153, 295)(154, 312)(155, 300)(156, 311)
	local type(s) :: { ( 6, 78, 6, 78 ) }
Outer automorphisms :: reflexible
Dual of E26.1382
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 78 e = 156 f = 28
	degree seq :: [ 4^78 ]

E26.1387 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 78})
Quotient :: dipole
Aut^+ = C6 x D26 (small group id <156, 15>)
Aut   = C2 x S3 x D26 (small group id <312, 54>)
|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^-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)^78 ]
Map::
	R = (1, 157, 2, 158)(3, 159, 7, 163)(4, 160, 9, 165)(5, 161, 11, 167)(6, 162, 13, 169)(8, 164, 12, 168)(10, 166, 14, 170)(15, 171, 23, 179)(16, 172, 25, 181)(17, 173, 24, 180)(18, 174, 26, 182)(19, 175, 27, 183)(20, 176, 29, 185)(21, 177, 28, 184)(22, 178, 30, 186)(31, 187, 37, 193)(32, 188, 38, 194)(33, 189, 39, 195)(34, 190, 40, 196)(35, 191, 41, 197)(36, 192, 42, 198)(43, 199, 49, 205)(44, 200, 50, 206)(45, 201, 51, 207)(46, 202, 52, 208)(47, 203, 53, 209)(48, 204, 54, 210)(55, 211, 86, 242)(56, 212, 87, 243)(57, 213, 84, 240)(58, 214, 106, 262)(59, 215, 109, 265)(60, 216, 110, 266)(61, 217, 111, 267)(62, 218, 107, 263)(63, 219, 108, 264)(64, 220, 118, 274)(65, 221, 119, 275)(66, 222, 121, 277)(67, 223, 122, 278)(68, 224, 123, 279)(69, 225, 124, 280)(70, 226, 126, 282)(71, 227, 127, 283)(72, 228, 112, 268)(73, 229, 113, 269)(74, 230, 125, 281)(75, 231, 114, 270)(76, 232, 115, 271)(77, 233, 116, 272)(78, 234, 120, 276)(79, 235, 117, 273)(80, 236, 102, 258)(81, 237, 134, 290)(82, 238, 100, 256)(83, 239, 101, 257)(85, 241, 135, 291)(88, 244, 128, 284)(89, 245, 129, 285)(90, 246, 130, 286)(91, 247, 131, 287)(92, 248, 132, 288)(93, 249, 133, 289)(94, 250, 136, 292)(95, 251, 137, 293)(96, 252, 138, 294)(97, 253, 139, 295)(98, 254, 140, 296)(99, 255, 141, 297)(103, 259, 142, 298)(104, 260, 143, 299)(105, 261, 144, 300)(145, 301, 148, 304)(146, 302, 150, 306)(147, 303, 149, 305)(151, 307, 154, 310)(152, 308, 156, 312)(153, 309, 155, 311)(313, 469, 315, 471, 320, 476, 329, 485, 322, 478, 316, 472)(314, 470, 317, 473, 324, 480, 333, 489, 326, 482, 318, 474)(319, 475, 327, 483, 336, 492, 330, 486, 321, 477, 328, 484)(323, 479, 331, 487, 340, 496, 334, 490, 325, 481, 332, 488)(335, 491, 343, 499, 338, 494, 345, 501, 337, 493, 344, 500)(339, 495, 346, 502, 342, 498, 348, 504, 341, 497, 347, 503)(349, 505, 355, 511, 351, 507, 357, 513, 350, 506, 356, 512)(352, 508, 358, 514, 354, 510, 360, 516, 353, 509, 359, 515)(361, 517, 367, 523, 363, 519, 369, 525, 362, 518, 368, 524)(364, 520, 412, 568, 366, 522, 414, 570, 365, 521, 413, 569)(370, 526, 419, 575, 377, 533, 432, 588, 379, 535, 420, 576)(371, 527, 422, 578, 381, 537, 437, 593, 383, 539, 423, 579)(372, 528, 424, 580, 386, 542, 426, 582, 373, 529, 425, 581)(374, 530, 427, 583, 390, 546, 429, 585, 375, 531, 428, 584)(376, 532, 431, 587, 393, 549, 434, 590, 378, 534, 418, 574)(380, 536, 436, 592, 397, 553, 439, 595, 382, 538, 421, 577)(384, 540, 440, 596, 387, 543, 442, 598, 385, 541, 441, 597)(388, 544, 443, 599, 391, 547, 445, 601, 389, 545, 444, 600)(392, 548, 446, 602, 395, 551, 433, 589, 394, 550, 430, 586)(396, 552, 447, 603, 399, 555, 438, 594, 398, 554, 435, 591)(400, 556, 448, 604, 402, 558, 450, 606, 401, 557, 449, 605)(403, 559, 451, 607, 405, 561, 453, 609, 404, 560, 452, 608)(406, 562, 454, 610, 408, 564, 456, 612, 407, 563, 455, 611)(409, 565, 457, 613, 411, 567, 459, 615, 410, 566, 458, 614)(415, 571, 463, 619, 417, 573, 465, 621, 416, 572, 464, 620)(460, 616, 466, 622, 461, 617, 467, 623, 462, 618, 468, 624)
	L = (1, 314)(2, 313)(3, 319)(4, 321)(5, 323)(6, 325)(7, 315)(8, 324)(9, 316)(10, 326)(11, 317)(12, 320)(13, 318)(14, 322)(15, 335)(16, 337)(17, 336)(18, 338)(19, 339)(20, 341)(21, 340)(22, 342)(23, 327)(24, 329)(25, 328)(26, 330)(27, 331)(28, 333)(29, 332)(30, 334)(31, 349)(32, 350)(33, 351)(34, 352)(35, 353)(36, 354)(37, 343)(38, 344)(39, 345)(40, 346)(41, 347)(42, 348)(43, 361)(44, 362)(45, 363)(46, 364)(47, 365)(48, 366)(49, 355)(50, 356)(51, 357)(52, 358)(53, 359)(54, 360)(55, 398)(56, 399)(57, 396)(58, 418)(59, 421)(60, 422)(61, 423)(62, 419)(63, 420)(64, 430)(65, 431)(66, 433)(67, 434)(68, 435)(69, 436)(70, 438)(71, 439)(72, 424)(73, 425)(74, 437)(75, 426)(76, 427)(77, 428)(78, 432)(79, 429)(80, 414)(81, 446)(82, 412)(83, 413)(84, 369)(85, 447)(86, 367)(87, 368)(88, 440)(89, 441)(90, 442)(91, 443)(92, 444)(93, 445)(94, 448)(95, 449)(96, 450)(97, 451)(98, 452)(99, 453)(100, 394)(101, 395)(102, 392)(103, 454)(104, 455)(105, 456)(106, 370)(107, 374)(108, 375)(109, 371)(110, 372)(111, 373)(112, 384)(113, 385)(114, 387)(115, 388)(116, 389)(117, 391)(118, 376)(119, 377)(120, 390)(121, 378)(122, 379)(123, 380)(124, 381)(125, 386)(126, 382)(127, 383)(128, 400)(129, 401)(130, 402)(131, 403)(132, 404)(133, 405)(134, 393)(135, 397)(136, 406)(137, 407)(138, 408)(139, 409)(140, 410)(141, 411)(142, 415)(143, 416)(144, 417)(145, 460)(146, 462)(147, 461)(148, 457)(149, 459)(150, 458)(151, 466)(152, 468)(153, 467)(154, 463)(155, 465)(156, 464)(157, 469)(158, 470)(159, 471)(160, 472)(161, 473)(162, 474)(163, 475)(164, 476)(165, 477)(166, 478)(167, 479)(168, 480)(169, 481)(170, 482)(171, 483)(172, 484)(173, 485)(174, 486)(175, 487)(176, 488)(177, 489)(178, 490)(179, 491)(180, 492)(181, 493)(182, 494)(183, 495)(184, 496)(185, 497)(186, 498)(187, 499)(188, 500)(189, 501)(190, 502)(191, 503)(192, 504)(193, 505)(194, 506)(195, 507)(196, 508)(197, 509)(198, 510)(199, 511)(200, 512)(201, 513)(202, 514)(203, 515)(204, 516)(205, 517)(206, 518)(207, 519)(208, 520)(209, 521)(210, 522)(211, 523)(212, 524)(213, 525)(214, 526)(215, 527)(216, 528)(217, 529)(218, 530)(219, 531)(220, 532)(221, 533)(222, 534)(223, 535)(224, 536)(225, 537)(226, 538)(227, 539)(228, 540)(229, 541)(230, 542)(231, 543)(232, 544)(233, 545)(234, 546)(235, 547)(236, 548)(237, 549)(238, 550)(239, 551)(240, 552)(241, 553)(242, 554)(243, 555)(244, 556)(245, 557)(246, 558)(247, 559)(248, 560)(249, 561)(250, 562)(251, 563)(252, 564)(253, 565)(254, 566)(255, 567)(256, 568)(257, 569)(258, 570)(259, 571)(260, 572)(261, 573)(262, 574)(263, 575)(264, 576)(265, 577)(266, 578)(267, 579)(268, 580)(269, 581)(270, 582)(271, 583)(272, 584)(273, 585)(274, 586)(275, 587)(276, 588)(277, 589)(278, 590)(279, 591)(280, 592)(281, 593)(282, 594)(283, 595)(284, 596)(285, 597)(286, 598)(287, 599)(288, 600)(289, 601)(290, 602)(291, 603)(292, 604)(293, 605)(294, 606)(295, 607)(296, 608)(297, 609)(298, 610)(299, 611)(300, 612)(301, 613)(302, 614)(303, 615)(304, 616)(305, 617)(306, 618)(307, 619)(308, 620)(309, 621)(310, 622)(311, 623)(312, 624)
	local type(s) :: { ( 2, 156, 2, 156 ), ( 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156 ) }
Outer automorphisms :: reflexible
Dual of E26.1390
Graph:: bipartite
	v = 104 e = 312 f = 158
	degree seq :: [ 4^78, 12^26 ]

E26.1388 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 78})
Quotient :: dipole
Aut^+ = C6 x D26 (small group id <156, 15>)
Aut   = C2 x S3 x D26 (small group id <312, 54>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, R * Y2 * R * Y3, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^2, (Y2 * Y1^-1 * Y2)^2, Y2^-1 * Y1 * Y2^-1 * Y1^-3, Y1 * Y2^-25 * Y1^-1 * Y2 ]
Map::
	R = (1, 157, 2, 158, 6, 162, 16, 172, 13, 169, 4, 160)(3, 159, 9, 165, 17, 173, 8, 164, 21, 177, 11, 167)(5, 161, 14, 170, 18, 174, 12, 168, 20, 176, 7, 163)(10, 166, 24, 180, 29, 185, 23, 179, 33, 189, 22, 178)(15, 171, 26, 182, 30, 186, 19, 175, 31, 187, 27, 183)(25, 181, 34, 190, 41, 197, 36, 192, 45, 201, 35, 191)(28, 184, 32, 188, 42, 198, 39, 195, 43, 199, 38, 194)(37, 193, 47, 203, 53, 209, 46, 202, 57, 213, 48, 204)(40, 196, 51, 207, 54, 210, 50, 206, 55, 211, 44, 200)(49, 205, 60, 216, 65, 221, 59, 215, 69, 225, 58, 214)(52, 208, 62, 218, 66, 222, 56, 212, 67, 223, 63, 219)(61, 217, 70, 226, 77, 233, 72, 228, 81, 237, 71, 227)(64, 220, 68, 224, 78, 234, 75, 231, 79, 235, 74, 230)(73, 229, 83, 239, 89, 245, 82, 238, 93, 249, 84, 240)(76, 232, 87, 243, 90, 246, 86, 242, 91, 247, 80, 236)(85, 241, 96, 252, 101, 257, 95, 251, 105, 261, 94, 250)(88, 244, 98, 254, 102, 258, 92, 248, 103, 259, 99, 255)(97, 253, 106, 262, 113, 269, 108, 264, 117, 273, 107, 263)(100, 256, 104, 260, 114, 270, 111, 267, 115, 271, 110, 266)(109, 265, 119, 275, 125, 281, 118, 274, 129, 285, 120, 276)(112, 268, 123, 279, 126, 282, 122, 278, 127, 283, 116, 272)(121, 277, 132, 288, 137, 293, 131, 287, 141, 297, 130, 286)(124, 280, 134, 290, 138, 294, 128, 284, 139, 295, 135, 291)(133, 289, 142, 298, 149, 305, 144, 300, 153, 309, 143, 299)(136, 292, 140, 296, 150, 306, 147, 303, 151, 307, 146, 302)(145, 301, 152, 308, 148, 304, 154, 310, 156, 312, 155, 311)(313, 469, 315, 471, 322, 478, 337, 493, 349, 505, 361, 517, 373, 529, 385, 541, 397, 553, 409, 565, 421, 577, 433, 589, 445, 601, 457, 613, 463, 619, 451, 607, 439, 595, 427, 583, 415, 571, 403, 559, 391, 547, 379, 535, 367, 523, 355, 511, 343, 499, 332, 488, 325, 481, 333, 489, 345, 501, 357, 513, 369, 525, 381, 537, 393, 549, 405, 561, 417, 573, 429, 585, 441, 597, 453, 609, 465, 621, 468, 624, 462, 618, 450, 606, 438, 594, 426, 582, 414, 570, 402, 558, 390, 546, 378, 534, 366, 522, 354, 510, 342, 498, 330, 486, 318, 474, 329, 485, 341, 497, 353, 509, 365, 521, 377, 533, 389, 545, 401, 557, 413, 569, 425, 581, 437, 593, 449, 605, 461, 617, 460, 616, 448, 604, 436, 592, 424, 580, 412, 568, 400, 556, 388, 544, 376, 532, 364, 520, 352, 508, 340, 496, 327, 483, 317, 473)(314, 470, 319, 475, 331, 487, 344, 500, 356, 512, 368, 524, 380, 536, 392, 548, 404, 560, 416, 572, 428, 584, 440, 596, 452, 608, 464, 620, 455, 611, 443, 599, 431, 587, 419, 575, 407, 563, 395, 551, 383, 539, 371, 527, 359, 515, 347, 503, 335, 491, 321, 477, 316, 472, 324, 480, 338, 494, 350, 506, 362, 518, 374, 530, 386, 542, 398, 554, 410, 566, 422, 578, 434, 590, 446, 602, 458, 614, 467, 623, 456, 612, 444, 600, 432, 588, 420, 576, 408, 564, 396, 552, 384, 540, 372, 528, 360, 516, 348, 504, 336, 492, 323, 479, 328, 484, 326, 482, 339, 495, 351, 507, 363, 519, 375, 531, 387, 543, 399, 555, 411, 567, 423, 579, 435, 591, 447, 603, 459, 615, 466, 622, 454, 610, 442, 598, 430, 586, 418, 574, 406, 562, 394, 550, 382, 538, 370, 526, 358, 514, 346, 502, 334, 490, 320, 476)
	L = (1, 315)(2, 319)(3, 322)(4, 324)(5, 313)(6, 329)(7, 331)(8, 314)(9, 316)(10, 337)(11, 328)(12, 338)(13, 333)(14, 339)(15, 317)(16, 326)(17, 341)(18, 318)(19, 344)(20, 325)(21, 345)(22, 320)(23, 321)(24, 323)(25, 349)(26, 350)(27, 351)(28, 327)(29, 353)(30, 330)(31, 332)(32, 356)(33, 357)(34, 334)(35, 335)(36, 336)(37, 361)(38, 362)(39, 363)(40, 340)(41, 365)(42, 342)(43, 343)(44, 368)(45, 369)(46, 346)(47, 347)(48, 348)(49, 373)(50, 374)(51, 375)(52, 352)(53, 377)(54, 354)(55, 355)(56, 380)(57, 381)(58, 358)(59, 359)(60, 360)(61, 385)(62, 386)(63, 387)(64, 364)(65, 389)(66, 366)(67, 367)(68, 392)(69, 393)(70, 370)(71, 371)(72, 372)(73, 397)(74, 398)(75, 399)(76, 376)(77, 401)(78, 378)(79, 379)(80, 404)(81, 405)(82, 382)(83, 383)(84, 384)(85, 409)(86, 410)(87, 411)(88, 388)(89, 413)(90, 390)(91, 391)(92, 416)(93, 417)(94, 394)(95, 395)(96, 396)(97, 421)(98, 422)(99, 423)(100, 400)(101, 425)(102, 402)(103, 403)(104, 428)(105, 429)(106, 406)(107, 407)(108, 408)(109, 433)(110, 434)(111, 435)(112, 412)(113, 437)(114, 414)(115, 415)(116, 440)(117, 441)(118, 418)(119, 419)(120, 420)(121, 445)(122, 446)(123, 447)(124, 424)(125, 449)(126, 426)(127, 427)(128, 452)(129, 453)(130, 430)(131, 431)(132, 432)(133, 457)(134, 458)(135, 459)(136, 436)(137, 461)(138, 438)(139, 439)(140, 464)(141, 465)(142, 442)(143, 443)(144, 444)(145, 463)(146, 467)(147, 466)(148, 448)(149, 460)(150, 450)(151, 451)(152, 455)(153, 468)(154, 454)(155, 456)(156, 462)(157, 469)(158, 470)(159, 471)(160, 472)(161, 473)(162, 474)(163, 475)(164, 476)(165, 477)(166, 478)(167, 479)(168, 480)(169, 481)(170, 482)(171, 483)(172, 484)(173, 485)(174, 486)(175, 487)(176, 488)(177, 489)(178, 490)(179, 491)(180, 492)(181, 493)(182, 494)(183, 495)(184, 496)(185, 497)(186, 498)(187, 499)(188, 500)(189, 501)(190, 502)(191, 503)(192, 504)(193, 505)(194, 506)(195, 507)(196, 508)(197, 509)(198, 510)(199, 511)(200, 512)(201, 513)(202, 514)(203, 515)(204, 516)(205, 517)(206, 518)(207, 519)(208, 520)(209, 521)(210, 522)(211, 523)(212, 524)(213, 525)(214, 526)(215, 527)(216, 528)(217, 529)(218, 530)(219, 531)(220, 532)(221, 533)(222, 534)(223, 535)(224, 536)(225, 537)(226, 538)(227, 539)(228, 540)(229, 541)(230, 542)(231, 543)(232, 544)(233, 545)(234, 546)(235, 547)(236, 548)(237, 549)(238, 550)(239, 551)(240, 552)(241, 553)(242, 554)(243, 555)(244, 556)(245, 557)(246, 558)(247, 559)(248, 560)(249, 561)(250, 562)(251, 563)(252, 564)(253, 565)(254, 566)(255, 567)(256, 568)(257, 569)(258, 570)(259, 571)(260, 572)(261, 573)(262, 574)(263, 575)(264, 576)(265, 577)(266, 578)(267, 579)(268, 580)(269, 581)(270, 582)(271, 583)(272, 584)(273, 585)(274, 586)(275, 587)(276, 588)(277, 589)(278, 590)(279, 591)(280, 592)(281, 593)(282, 594)(283, 595)(284, 596)(285, 597)(286, 598)(287, 599)(288, 600)(289, 601)(290, 602)(291, 603)(292, 604)(293, 605)(294, 606)(295, 607)(296, 608)(297, 609)(298, 610)(299, 611)(300, 612)(301, 613)(302, 614)(303, 615)(304, 616)(305, 617)(306, 618)(307, 619)(308, 620)(309, 621)(310, 622)(311, 623)(312, 624)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1389
Graph:: bipartite
	v = 28 e = 312 f = 234
	degree seq :: [ 12^26, 156^2 ]

E26.1389 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 78})
Quotient :: dipole
Aut^+ = C6 x D26 (small group id <156, 15>)
Aut   = C2 x S3 x D26 (small group id <312, 54>)
|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, Y3^19 * Y2 * Y3^-7 * Y2, (Y3^-1 * Y1^-1)^78 ]
Map:: polytopal
	R = (1, 157)(2, 158)(3, 159)(4, 160)(5, 161)(6, 162)(7, 163)(8, 164)(9, 165)(10, 166)(11, 167)(12, 168)(13, 169)(14, 170)(15, 171)(16, 172)(17, 173)(18, 174)(19, 175)(20, 176)(21, 177)(22, 178)(23, 179)(24, 180)(25, 181)(26, 182)(27, 183)(28, 184)(29, 185)(30, 186)(31, 187)(32, 188)(33, 189)(34, 190)(35, 191)(36, 192)(37, 193)(38, 194)(39, 195)(40, 196)(41, 197)(42, 198)(43, 199)(44, 200)(45, 201)(46, 202)(47, 203)(48, 204)(49, 205)(50, 206)(51, 207)(52, 208)(53, 209)(54, 210)(55, 211)(56, 212)(57, 213)(58, 214)(59, 215)(60, 216)(61, 217)(62, 218)(63, 219)(64, 220)(65, 221)(66, 222)(67, 223)(68, 224)(69, 225)(70, 226)(71, 227)(72, 228)(73, 229)(74, 230)(75, 231)(76, 232)(77, 233)(78, 234)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)(313, 469, 314, 470)(315, 471, 319, 475)(316, 472, 321, 477)(317, 473, 323, 479)(318, 474, 325, 481)(320, 476, 329, 485)(322, 478, 333, 489)(324, 480, 337, 493)(326, 482, 341, 497)(327, 483, 335, 491)(328, 484, 339, 495)(330, 486, 342, 498)(331, 487, 336, 492)(332, 488, 340, 496)(334, 490, 338, 494)(343, 499, 353, 509)(344, 500, 357, 513)(345, 501, 351, 507)(346, 502, 356, 512)(347, 503, 359, 515)(348, 504, 354, 510)(349, 505, 352, 508)(350, 506, 362, 518)(355, 511, 365, 521)(358, 514, 368, 524)(360, 516, 369, 525)(361, 517, 372, 528)(363, 519, 366, 522)(364, 520, 375, 531)(367, 523, 378, 534)(370, 526, 381, 537)(371, 527, 380, 536)(373, 529, 382, 538)(374, 530, 377, 533)(376, 532, 379, 535)(383, 539, 393, 549)(384, 540, 392, 548)(385, 541, 395, 551)(386, 542, 390, 546)(387, 543, 389, 545)(388, 544, 398, 554)(391, 547, 401, 557)(394, 550, 404, 560)(396, 552, 405, 561)(397, 553, 408, 564)(399, 555, 402, 558)(400, 556, 411, 567)(403, 559, 414, 570)(406, 562, 417, 573)(407, 563, 416, 572)(409, 565, 418, 574)(410, 566, 413, 569)(412, 568, 415, 571)(419, 575, 429, 585)(420, 576, 428, 584)(421, 577, 431, 587)(422, 578, 426, 582)(423, 579, 425, 581)(424, 580, 434, 590)(427, 583, 437, 593)(430, 586, 440, 596)(432, 588, 441, 597)(433, 589, 444, 600)(435, 591, 438, 594)(436, 592, 447, 603)(439, 595, 450, 606)(442, 598, 453, 609)(443, 599, 452, 608)(445, 601, 454, 610)(446, 602, 449, 605)(448, 604, 451, 607)(455, 611, 465, 621)(456, 612, 464, 620)(457, 613, 463, 619)(458, 614, 462, 618)(459, 615, 461, 617)(460, 616, 466, 622)(467, 623, 468, 624)
	L = (1, 315)(2, 317)(3, 320)(4, 313)(5, 324)(6, 314)(7, 327)(8, 330)(9, 331)(10, 316)(11, 335)(12, 338)(13, 339)(14, 318)(15, 343)(16, 319)(17, 345)(18, 347)(19, 348)(20, 321)(21, 349)(22, 322)(23, 351)(24, 323)(25, 353)(26, 355)(27, 356)(28, 325)(29, 357)(30, 326)(31, 333)(32, 328)(33, 332)(34, 329)(35, 361)(36, 362)(37, 363)(38, 334)(39, 341)(40, 336)(41, 340)(42, 337)(43, 367)(44, 368)(45, 369)(46, 342)(47, 344)(48, 346)(49, 373)(50, 374)(51, 375)(52, 350)(53, 352)(54, 354)(55, 379)(56, 380)(57, 381)(58, 358)(59, 359)(60, 360)(61, 385)(62, 386)(63, 387)(64, 364)(65, 365)(66, 366)(67, 391)(68, 392)(69, 393)(70, 370)(71, 371)(72, 372)(73, 397)(74, 398)(75, 399)(76, 376)(77, 377)(78, 378)(79, 403)(80, 404)(81, 405)(82, 382)(83, 383)(84, 384)(85, 409)(86, 410)(87, 411)(88, 388)(89, 389)(90, 390)(91, 415)(92, 416)(93, 417)(94, 394)(95, 395)(96, 396)(97, 421)(98, 422)(99, 423)(100, 400)(101, 401)(102, 402)(103, 427)(104, 428)(105, 429)(106, 406)(107, 407)(108, 408)(109, 433)(110, 434)(111, 435)(112, 412)(113, 413)(114, 414)(115, 439)(116, 440)(117, 441)(118, 418)(119, 419)(120, 420)(121, 445)(122, 446)(123, 447)(124, 424)(125, 425)(126, 426)(127, 451)(128, 452)(129, 453)(130, 430)(131, 431)(132, 432)(133, 457)(134, 458)(135, 459)(136, 436)(137, 437)(138, 438)(139, 463)(140, 464)(141, 465)(142, 442)(143, 443)(144, 444)(145, 461)(146, 466)(147, 467)(148, 448)(149, 449)(150, 450)(151, 455)(152, 460)(153, 468)(154, 454)(155, 456)(156, 462)(157, 469)(158, 470)(159, 471)(160, 472)(161, 473)(162, 474)(163, 475)(164, 476)(165, 477)(166, 478)(167, 479)(168, 480)(169, 481)(170, 482)(171, 483)(172, 484)(173, 485)(174, 486)(175, 487)(176, 488)(177, 489)(178, 490)(179, 491)(180, 492)(181, 493)(182, 494)(183, 495)(184, 496)(185, 497)(186, 498)(187, 499)(188, 500)(189, 501)(190, 502)(191, 503)(192, 504)(193, 505)(194, 506)(195, 507)(196, 508)(197, 509)(198, 510)(199, 511)(200, 512)(201, 513)(202, 514)(203, 515)(204, 516)(205, 517)(206, 518)(207, 519)(208, 520)(209, 521)(210, 522)(211, 523)(212, 524)(213, 525)(214, 526)(215, 527)(216, 528)(217, 529)(218, 530)(219, 531)(220, 532)(221, 533)(222, 534)(223, 535)(224, 536)(225, 537)(226, 538)(227, 539)(228, 540)(229, 541)(230, 542)(231, 543)(232, 544)(233, 545)(234, 546)(235, 547)(236, 548)(237, 549)(238, 550)(239, 551)(240, 552)(241, 553)(242, 554)(243, 555)(244, 556)(245, 557)(246, 558)(247, 559)(248, 560)(249, 561)(250, 562)(251, 563)(252, 564)(253, 565)(254, 566)(255, 567)(256, 568)(257, 569)(258, 570)(259, 571)(260, 572)(261, 573)(262, 574)(263, 575)(264, 576)(265, 577)(266, 578)(267, 579)(268, 580)(269, 581)(270, 582)(271, 583)(272, 584)(273, 585)(274, 586)(275, 587)(276, 588)(277, 589)(278, 590)(279, 591)(280, 592)(281, 593)(282, 594)(283, 595)(284, 596)(285, 597)(286, 598)(287, 599)(288, 600)(289, 601)(290, 602)(291, 603)(292, 604)(293, 605)(294, 606)(295, 607)(296, 608)(297, 609)(298, 610)(299, 611)(300, 612)(301, 613)(302, 614)(303, 615)(304, 616)(305, 617)(306, 618)(307, 619)(308, 620)(309, 621)(310, 622)(311, 623)(312, 624)
	local type(s) :: { ( 12, 156 ), ( 12, 156, 12, 156 ) }
Outer automorphisms :: reflexible
Dual of E26.1388
Graph:: simple bipartite
	v = 234 e = 312 f = 28
	degree seq :: [ 2^156, 4^78 ]

E26.1390 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 78})
Quotient :: dipole
Aut^+ = C6 x D26 (small group id <156, 15>)
Aut   = C2 x S3 x D26 (small group id <312, 54>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y1)^2, (R * Y2 * Y3)^2, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1, (Y3 * Y1^-3)^2, Y1^-4 * Y3 * Y1^10 * Y3 * Y1^-12 ]
Map::
	R = (1, 157, 2, 158, 5, 161, 11, 167, 23, 179, 39, 195, 53, 209, 65, 221, 77, 233, 89, 245, 101, 257, 113, 269, 125, 281, 137, 293, 149, 305, 145, 301, 132, 288, 121, 277, 109, 265, 96, 252, 85, 241, 73, 229, 60, 216, 49, 205, 33, 189, 16, 172, 28, 184, 42, 198, 35, 191, 46, 202, 58, 214, 70, 226, 82, 238, 94, 250, 106, 262, 118, 274, 130, 286, 142, 298, 154, 310, 156, 312, 155, 311, 144, 300, 133, 289, 120, 276, 108, 264, 97, 253, 84, 240, 72, 228, 61, 217, 48, 204, 32, 188, 45, 201, 34, 190, 17, 173, 29, 185, 43, 199, 56, 212, 68, 224, 80, 236, 92, 248, 104, 260, 116, 272, 128, 284, 140, 296, 152, 308, 148, 304, 136, 292, 124, 280, 112, 268, 100, 256, 88, 244, 76, 232, 64, 220, 52, 208, 38, 194, 22, 178, 10, 166, 4, 160)(3, 159, 7, 163, 15, 171, 31, 187, 47, 203, 59, 215, 71, 227, 83, 239, 95, 251, 107, 263, 119, 275, 131, 287, 143, 299, 150, 306, 141, 297, 127, 283, 114, 270, 105, 261, 91, 247, 78, 234, 69, 225, 55, 211, 40, 196, 30, 186, 14, 170, 6, 162, 13, 169, 27, 183, 21, 177, 37, 193, 51, 207, 63, 219, 75, 231, 87, 243, 99, 255, 111, 267, 123, 279, 135, 291, 147, 303, 153, 309, 139, 295, 126, 282, 117, 273, 103, 259, 90, 246, 81, 237, 67, 223, 54, 210, 44, 200, 26, 182, 12, 168, 25, 181, 20, 176, 9, 165, 19, 175, 36, 192, 50, 206, 62, 218, 74, 230, 86, 242, 98, 254, 110, 266, 122, 278, 134, 290, 146, 302, 151, 307, 138, 294, 129, 285, 115, 271, 102, 258, 93, 249, 79, 235, 66, 222, 57, 213, 41, 197, 24, 180, 18, 174, 8, 164)(313, 469)(314, 470)(315, 471)(316, 472)(317, 473)(318, 474)(319, 475)(320, 476)(321, 477)(322, 478)(323, 479)(324, 480)(325, 481)(326, 482)(327, 483)(328, 484)(329, 485)(330, 486)(331, 487)(332, 488)(333, 489)(334, 490)(335, 491)(336, 492)(337, 493)(338, 494)(339, 495)(340, 496)(341, 497)(342, 498)(343, 499)(344, 500)(345, 501)(346, 502)(347, 503)(348, 504)(349, 505)(350, 506)(351, 507)(352, 508)(353, 509)(354, 510)(355, 511)(356, 512)(357, 513)(358, 514)(359, 515)(360, 516)(361, 517)(362, 518)(363, 519)(364, 520)(365, 521)(366, 522)(367, 523)(368, 524)(369, 525)(370, 526)(371, 527)(372, 528)(373, 529)(374, 530)(375, 531)(376, 532)(377, 533)(378, 534)(379, 535)(380, 536)(381, 537)(382, 538)(383, 539)(384, 540)(385, 541)(386, 542)(387, 543)(388, 544)(389, 545)(390, 546)(391, 547)(392, 548)(393, 549)(394, 550)(395, 551)(396, 552)(397, 553)(398, 554)(399, 555)(400, 556)(401, 557)(402, 558)(403, 559)(404, 560)(405, 561)(406, 562)(407, 563)(408, 564)(409, 565)(410, 566)(411, 567)(412, 568)(413, 569)(414, 570)(415, 571)(416, 572)(417, 573)(418, 574)(419, 575)(420, 576)(421, 577)(422, 578)(423, 579)(424, 580)(425, 581)(426, 582)(427, 583)(428, 584)(429, 585)(430, 586)(431, 587)(432, 588)(433, 589)(434, 590)(435, 591)(436, 592)(437, 593)(438, 594)(439, 595)(440, 596)(441, 597)(442, 598)(443, 599)(444, 600)(445, 601)(446, 602)(447, 603)(448, 604)(449, 605)(450, 606)(451, 607)(452, 608)(453, 609)(454, 610)(455, 611)(456, 612)(457, 613)(458, 614)(459, 615)(460, 616)(461, 617)(462, 618)(463, 619)(464, 620)(465, 621)(466, 622)(467, 623)(468, 624)
	L = (1, 315)(2, 318)(3, 313)(4, 321)(5, 324)(6, 314)(7, 328)(8, 329)(9, 316)(10, 333)(11, 336)(12, 317)(13, 340)(14, 341)(15, 344)(16, 319)(17, 320)(18, 347)(19, 345)(20, 346)(21, 322)(22, 343)(23, 352)(24, 323)(25, 354)(26, 355)(27, 357)(28, 325)(29, 326)(30, 358)(31, 334)(32, 327)(33, 331)(34, 332)(35, 330)(36, 360)(37, 361)(38, 362)(39, 366)(40, 335)(41, 368)(42, 337)(43, 338)(44, 370)(45, 339)(46, 342)(47, 372)(48, 348)(49, 349)(50, 350)(51, 373)(52, 375)(53, 378)(54, 351)(55, 380)(56, 353)(57, 382)(58, 356)(59, 384)(60, 359)(61, 363)(62, 385)(63, 364)(64, 383)(65, 390)(66, 365)(67, 392)(68, 367)(69, 394)(70, 369)(71, 376)(72, 371)(73, 374)(74, 396)(75, 397)(76, 398)(77, 402)(78, 377)(79, 404)(80, 379)(81, 406)(82, 381)(83, 408)(84, 386)(85, 387)(86, 388)(87, 409)(88, 411)(89, 414)(90, 389)(91, 416)(92, 391)(93, 418)(94, 393)(95, 420)(96, 395)(97, 399)(98, 421)(99, 400)(100, 419)(101, 426)(102, 401)(103, 428)(104, 403)(105, 430)(106, 405)(107, 412)(108, 407)(109, 410)(110, 432)(111, 433)(112, 434)(113, 438)(114, 413)(115, 440)(116, 415)(117, 442)(118, 417)(119, 444)(120, 422)(121, 423)(122, 424)(123, 445)(124, 447)(125, 450)(126, 425)(127, 452)(128, 427)(129, 454)(130, 429)(131, 456)(132, 431)(133, 435)(134, 457)(135, 436)(136, 455)(137, 462)(138, 437)(139, 464)(140, 439)(141, 466)(142, 441)(143, 448)(144, 443)(145, 446)(146, 467)(147, 461)(148, 463)(149, 459)(150, 449)(151, 460)(152, 451)(153, 468)(154, 453)(155, 458)(156, 465)(157, 469)(158, 470)(159, 471)(160, 472)(161, 473)(162, 474)(163, 475)(164, 476)(165, 477)(166, 478)(167, 479)(168, 480)(169, 481)(170, 482)(171, 483)(172, 484)(173, 485)(174, 486)(175, 487)(176, 488)(177, 489)(178, 490)(179, 491)(180, 492)(181, 493)(182, 494)(183, 495)(184, 496)(185, 497)(186, 498)(187, 499)(188, 500)(189, 501)(190, 502)(191, 503)(192, 504)(193, 505)(194, 506)(195, 507)(196, 508)(197, 509)(198, 510)(199, 511)(200, 512)(201, 513)(202, 514)(203, 515)(204, 516)(205, 517)(206, 518)(207, 519)(208, 520)(209, 521)(210, 522)(211, 523)(212, 524)(213, 525)(214, 526)(215, 527)(216, 528)(217, 529)(218, 530)(219, 531)(220, 532)(221, 533)(222, 534)(223, 535)(224, 536)(225, 537)(226, 538)(227, 539)(228, 540)(229, 541)(230, 542)(231, 543)(232, 544)(233, 545)(234, 546)(235, 547)(236, 548)(237, 549)(238, 550)(239, 551)(240, 552)(241, 553)(242, 554)(243, 555)(244, 556)(245, 557)(246, 558)(247, 559)(248, 560)(249, 561)(250, 562)(251, 563)(252, 564)(253, 565)(254, 566)(255, 567)(256, 568)(257, 569)(258, 570)(259, 571)(260, 572)(261, 573)(262, 574)(263, 575)(264, 576)(265, 577)(266, 578)(267, 579)(268, 580)(269, 581)(270, 582)(271, 583)(272, 584)(273, 585)(274, 586)(275, 587)(276, 588)(277, 589)(278, 590)(279, 591)(280, 592)(281, 593)(282, 594)(283, 595)(284, 596)(285, 597)(286, 598)(287, 599)(288, 600)(289, 601)(290, 602)(291, 603)(292, 604)(293, 605)(294, 606)(295, 607)(296, 608)(297, 609)(298, 610)(299, 611)(300, 612)(301, 613)(302, 614)(303, 615)(304, 616)(305, 617)(306, 618)(307, 619)(308, 620)(309, 621)(310, 622)(311, 623)(312, 624)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1387
Graph:: simple bipartite
	v = 158 e = 312 f = 104
	degree seq :: [ 2^156, 156^2 ]

E26.1391 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 78})
Quotient :: dipole
Aut^+ = C6 x D26 (small group id <156, 15>)
Aut   = C2 x S3 x D26 (small group id <312, 54>)
|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, Y2^4 * Y1 * Y2^-22 * Y1, (Y2^-1 * R * Y2^-12)^2 ]
Map::
	R = (1, 157, 2, 158)(3, 159, 7, 163)(4, 160, 9, 165)(5, 161, 11, 167)(6, 162, 13, 169)(8, 164, 17, 173)(10, 166, 21, 177)(12, 168, 25, 181)(14, 170, 29, 185)(15, 171, 23, 179)(16, 172, 27, 183)(18, 174, 30, 186)(19, 175, 24, 180)(20, 176, 28, 184)(22, 178, 26, 182)(31, 187, 41, 197)(32, 188, 45, 201)(33, 189, 39, 195)(34, 190, 44, 200)(35, 191, 47, 203)(36, 192, 42, 198)(37, 193, 40, 196)(38, 194, 50, 206)(43, 199, 53, 209)(46, 202, 56, 212)(48, 204, 57, 213)(49, 205, 60, 216)(51, 207, 54, 210)(52, 208, 63, 219)(55, 211, 66, 222)(58, 214, 69, 225)(59, 215, 68, 224)(61, 217, 70, 226)(62, 218, 65, 221)(64, 220, 67, 223)(71, 227, 81, 237)(72, 228, 80, 236)(73, 229, 83, 239)(74, 230, 78, 234)(75, 231, 77, 233)(76, 232, 86, 242)(79, 235, 89, 245)(82, 238, 92, 248)(84, 240, 93, 249)(85, 241, 96, 252)(87, 243, 90, 246)(88, 244, 99, 255)(91, 247, 102, 258)(94, 250, 105, 261)(95, 251, 104, 260)(97, 253, 106, 262)(98, 254, 101, 257)(100, 256, 103, 259)(107, 263, 117, 273)(108, 264, 116, 272)(109, 265, 119, 275)(110, 266, 114, 270)(111, 267, 113, 269)(112, 268, 122, 278)(115, 271, 125, 281)(118, 274, 128, 284)(120, 276, 129, 285)(121, 277, 132, 288)(123, 279, 126, 282)(124, 280, 135, 291)(127, 283, 138, 294)(130, 286, 141, 297)(131, 287, 140, 296)(133, 289, 142, 298)(134, 290, 137, 293)(136, 292, 139, 295)(143, 299, 153, 309)(144, 300, 152, 308)(145, 301, 151, 307)(146, 302, 150, 306)(147, 303, 149, 305)(148, 304, 154, 310)(155, 311, 156, 312)(313, 469, 315, 471, 320, 476, 330, 486, 347, 503, 361, 517, 373, 529, 385, 541, 397, 553, 409, 565, 421, 577, 433, 589, 445, 601, 457, 613, 461, 617, 449, 605, 437, 593, 425, 581, 413, 569, 401, 557, 389, 545, 377, 533, 365, 521, 352, 508, 336, 492, 323, 479, 335, 491, 351, 507, 341, 497, 357, 513, 369, 525, 381, 537, 393, 549, 405, 561, 417, 573, 429, 585, 441, 597, 453, 609, 465, 621, 468, 624, 462, 618, 450, 606, 438, 594, 426, 582, 414, 570, 402, 558, 390, 546, 378, 534, 366, 522, 354, 510, 337, 493, 353, 509, 340, 496, 325, 481, 339, 495, 356, 512, 368, 524, 380, 536, 392, 548, 404, 560, 416, 572, 428, 584, 440, 596, 452, 608, 464, 620, 460, 616, 448, 604, 436, 592, 424, 580, 412, 568, 400, 556, 388, 544, 376, 532, 364, 520, 350, 506, 334, 490, 322, 478, 316, 472)(314, 470, 317, 473, 324, 480, 338, 494, 355, 511, 367, 523, 379, 535, 391, 547, 403, 559, 415, 571, 427, 583, 439, 595, 451, 607, 463, 619, 455, 611, 443, 599, 431, 587, 419, 575, 407, 563, 395, 551, 383, 539, 371, 527, 359, 515, 344, 500, 328, 484, 319, 475, 327, 483, 343, 499, 333, 489, 349, 505, 363, 519, 375, 531, 387, 543, 399, 555, 411, 567, 423, 579, 435, 591, 447, 603, 459, 615, 467, 623, 456, 612, 444, 600, 432, 588, 420, 576, 408, 564, 396, 552, 384, 540, 372, 528, 360, 516, 346, 502, 329, 485, 345, 501, 332, 488, 321, 477, 331, 487, 348, 504, 362, 518, 374, 530, 386, 542, 398, 554, 410, 566, 422, 578, 434, 590, 446, 602, 458, 614, 466, 622, 454, 610, 442, 598, 430, 586, 418, 574, 406, 562, 394, 550, 382, 538, 370, 526, 358, 514, 342, 498, 326, 482, 318, 474)
	L = (1, 314)(2, 313)(3, 319)(4, 321)(5, 323)(6, 325)(7, 315)(8, 329)(9, 316)(10, 333)(11, 317)(12, 337)(13, 318)(14, 341)(15, 335)(16, 339)(17, 320)(18, 342)(19, 336)(20, 340)(21, 322)(22, 338)(23, 327)(24, 331)(25, 324)(26, 334)(27, 328)(28, 332)(29, 326)(30, 330)(31, 353)(32, 357)(33, 351)(34, 356)(35, 359)(36, 354)(37, 352)(38, 362)(39, 345)(40, 349)(41, 343)(42, 348)(43, 365)(44, 346)(45, 344)(46, 368)(47, 347)(48, 369)(49, 372)(50, 350)(51, 366)(52, 375)(53, 355)(54, 363)(55, 378)(56, 358)(57, 360)(58, 381)(59, 380)(60, 361)(61, 382)(62, 377)(63, 364)(64, 379)(65, 374)(66, 367)(67, 376)(68, 371)(69, 370)(70, 373)(71, 393)(72, 392)(73, 395)(74, 390)(75, 389)(76, 398)(77, 387)(78, 386)(79, 401)(80, 384)(81, 383)(82, 404)(83, 385)(84, 405)(85, 408)(86, 388)(87, 402)(88, 411)(89, 391)(90, 399)(91, 414)(92, 394)(93, 396)(94, 417)(95, 416)(96, 397)(97, 418)(98, 413)(99, 400)(100, 415)(101, 410)(102, 403)(103, 412)(104, 407)(105, 406)(106, 409)(107, 429)(108, 428)(109, 431)(110, 426)(111, 425)(112, 434)(113, 423)(114, 422)(115, 437)(116, 420)(117, 419)(118, 440)(119, 421)(120, 441)(121, 444)(122, 424)(123, 438)(124, 447)(125, 427)(126, 435)(127, 450)(128, 430)(129, 432)(130, 453)(131, 452)(132, 433)(133, 454)(134, 449)(135, 436)(136, 451)(137, 446)(138, 439)(139, 448)(140, 443)(141, 442)(142, 445)(143, 465)(144, 464)(145, 463)(146, 462)(147, 461)(148, 466)(149, 459)(150, 458)(151, 457)(152, 456)(153, 455)(154, 460)(155, 468)(156, 467)(157, 469)(158, 470)(159, 471)(160, 472)(161, 473)(162, 474)(163, 475)(164, 476)(165, 477)(166, 478)(167, 479)(168, 480)(169, 481)(170, 482)(171, 483)(172, 484)(173, 485)(174, 486)(175, 487)(176, 488)(177, 489)(178, 490)(179, 491)(180, 492)(181, 493)(182, 494)(183, 495)(184, 496)(185, 497)(186, 498)(187, 499)(188, 500)(189, 501)(190, 502)(191, 503)(192, 504)(193, 505)(194, 506)(195, 507)(196, 508)(197, 509)(198, 510)(199, 511)(200, 512)(201, 513)(202, 514)(203, 515)(204, 516)(205, 517)(206, 518)(207, 519)(208, 520)(209, 521)(210, 522)(211, 523)(212, 524)(213, 525)(214, 526)(215, 527)(216, 528)(217, 529)(218, 530)(219, 531)(220, 532)(221, 533)(222, 534)(223, 535)(224, 536)(225, 537)(226, 538)(227, 539)(228, 540)(229, 541)(230, 542)(231, 543)(232, 544)(233, 545)(234, 546)(235, 547)(236, 548)(237, 549)(238, 550)(239, 551)(240, 552)(241, 553)(242, 554)(243, 555)(244, 556)(245, 557)(246, 558)(247, 559)(248, 560)(249, 561)(250, 562)(251, 563)(252, 564)(253, 565)(254, 566)(255, 567)(256, 568)(257, 569)(258, 570)(259, 571)(260, 572)(261, 573)(262, 574)(263, 575)(264, 576)(265, 577)(266, 578)(267, 579)(268, 580)(269, 581)(270, 582)(271, 583)(272, 584)(273, 585)(274, 586)(275, 587)(276, 588)(277, 589)(278, 590)(279, 591)(280, 592)(281, 593)(282, 594)(283, 595)(284, 596)(285, 597)(286, 598)(287, 599)(288, 600)(289, 601)(290, 602)(291, 603)(292, 604)(293, 605)(294, 606)(295, 607)(296, 608)(297, 609)(298, 610)(299, 611)(300, 612)(301, 613)(302, 614)(303, 615)(304, 616)(305, 617)(306, 618)(307, 619)(308, 620)(309, 621)(310, 622)(311, 623)(312, 624)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1392
Graph:: bipartite
	v = 80 e = 312 f = 182
	degree seq :: [ 4^78, 156^2 ]

E26.1392 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 78})
Quotient :: dipole
Aut^+ = C6 x D26 (small group id <156, 15>)
Aut   = C2 x S3 x D26 (small group id <312, 54>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-3, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1^3, (Y3^-2 * Y1)^2, Y3^-2 * Y1 * Y3^23 * Y1 * Y3^-1, (Y3 * Y2^-1)^78 ]
Map::
	R = (1, 157, 2, 158, 6, 162, 16, 172, 13, 169, 4, 160)(3, 159, 9, 165, 17, 173, 8, 164, 21, 177, 11, 167)(5, 161, 14, 170, 18, 174, 12, 168, 20, 176, 7, 163)(10, 166, 24, 180, 29, 185, 23, 179, 33, 189, 22, 178)(15, 171, 26, 182, 30, 186, 19, 175, 31, 187, 27, 183)(25, 181, 34, 190, 41, 197, 36, 192, 45, 201, 35, 191)(28, 184, 32, 188, 42, 198, 39, 195, 43, 199, 38, 194)(37, 193, 47, 203, 53, 209, 46, 202, 57, 213, 48, 204)(40, 196, 51, 207, 54, 210, 50, 206, 55, 211, 44, 200)(49, 205, 60, 216, 65, 221, 59, 215, 69, 225, 58, 214)(52, 208, 62, 218, 66, 222, 56, 212, 67, 223, 63, 219)(61, 217, 70, 226, 77, 233, 72, 228, 81, 237, 71, 227)(64, 220, 68, 224, 78, 234, 75, 231, 79, 235, 74, 230)(73, 229, 83, 239, 89, 245, 82, 238, 93, 249, 84, 240)(76, 232, 87, 243, 90, 246, 86, 242, 91, 247, 80, 236)(85, 241, 96, 252, 101, 257, 95, 251, 105, 261, 94, 250)(88, 244, 98, 254, 102, 258, 92, 248, 103, 259, 99, 255)(97, 253, 106, 262, 113, 269, 108, 264, 117, 273, 107, 263)(100, 256, 104, 260, 114, 270, 111, 267, 115, 271, 110, 266)(109, 265, 119, 275, 125, 281, 118, 274, 129, 285, 120, 276)(112, 268, 123, 279, 126, 282, 122, 278, 127, 283, 116, 272)(121, 277, 132, 288, 137, 293, 131, 287, 141, 297, 130, 286)(124, 280, 134, 290, 138, 294, 128, 284, 139, 295, 135, 291)(133, 289, 142, 298, 149, 305, 144, 300, 153, 309, 143, 299)(136, 292, 140, 296, 150, 306, 147, 303, 151, 307, 146, 302)(145, 301, 152, 308, 148, 304, 154, 310, 156, 312, 155, 311)(313, 469)(314, 470)(315, 471)(316, 472)(317, 473)(318, 474)(319, 475)(320, 476)(321, 477)(322, 478)(323, 479)(324, 480)(325, 481)(326, 482)(327, 483)(328, 484)(329, 485)(330, 486)(331, 487)(332, 488)(333, 489)(334, 490)(335, 491)(336, 492)(337, 493)(338, 494)(339, 495)(340, 496)(341, 497)(342, 498)(343, 499)(344, 500)(345, 501)(346, 502)(347, 503)(348, 504)(349, 505)(350, 506)(351, 507)(352, 508)(353, 509)(354, 510)(355, 511)(356, 512)(357, 513)(358, 514)(359, 515)(360, 516)(361, 517)(362, 518)(363, 519)(364, 520)(365, 521)(366, 522)(367, 523)(368, 524)(369, 525)(370, 526)(371, 527)(372, 528)(373, 529)(374, 530)(375, 531)(376, 532)(377, 533)(378, 534)(379, 535)(380, 536)(381, 537)(382, 538)(383, 539)(384, 540)(385, 541)(386, 542)(387, 543)(388, 544)(389, 545)(390, 546)(391, 547)(392, 548)(393, 549)(394, 550)(395, 551)(396, 552)(397, 553)(398, 554)(399, 555)(400, 556)(401, 557)(402, 558)(403, 559)(404, 560)(405, 561)(406, 562)(407, 563)(408, 564)(409, 565)(410, 566)(411, 567)(412, 568)(413, 569)(414, 570)(415, 571)(416, 572)(417, 573)(418, 574)(419, 575)(420, 576)(421, 577)(422, 578)(423, 579)(424, 580)(425, 581)(426, 582)(427, 583)(428, 584)(429, 585)(430, 586)(431, 587)(432, 588)(433, 589)(434, 590)(435, 591)(436, 592)(437, 593)(438, 594)(439, 595)(440, 596)(441, 597)(442, 598)(443, 599)(444, 600)(445, 601)(446, 602)(447, 603)(448, 604)(449, 605)(450, 606)(451, 607)(452, 608)(453, 609)(454, 610)(455, 611)(456, 612)(457, 613)(458, 614)(459, 615)(460, 616)(461, 617)(462, 618)(463, 619)(464, 620)(465, 621)(466, 622)(467, 623)(468, 624)
	L = (1, 315)(2, 319)(3, 322)(4, 324)(5, 313)(6, 329)(7, 331)(8, 314)(9, 316)(10, 337)(11, 328)(12, 338)(13, 333)(14, 339)(15, 317)(16, 326)(17, 341)(18, 318)(19, 344)(20, 325)(21, 345)(22, 320)(23, 321)(24, 323)(25, 349)(26, 350)(27, 351)(28, 327)(29, 353)(30, 330)(31, 332)(32, 356)(33, 357)(34, 334)(35, 335)(36, 336)(37, 361)(38, 362)(39, 363)(40, 340)(41, 365)(42, 342)(43, 343)(44, 368)(45, 369)(46, 346)(47, 347)(48, 348)(49, 373)(50, 374)(51, 375)(52, 352)(53, 377)(54, 354)(55, 355)(56, 380)(57, 381)(58, 358)(59, 359)(60, 360)(61, 385)(62, 386)(63, 387)(64, 364)(65, 389)(66, 366)(67, 367)(68, 392)(69, 393)(70, 370)(71, 371)(72, 372)(73, 397)(74, 398)(75, 399)(76, 376)(77, 401)(78, 378)(79, 379)(80, 404)(81, 405)(82, 382)(83, 383)(84, 384)(85, 409)(86, 410)(87, 411)(88, 388)(89, 413)(90, 390)(91, 391)(92, 416)(93, 417)(94, 394)(95, 395)(96, 396)(97, 421)(98, 422)(99, 423)(100, 400)(101, 425)(102, 402)(103, 403)(104, 428)(105, 429)(106, 406)(107, 407)(108, 408)(109, 433)(110, 434)(111, 435)(112, 412)(113, 437)(114, 414)(115, 415)(116, 440)(117, 441)(118, 418)(119, 419)(120, 420)(121, 445)(122, 446)(123, 447)(124, 424)(125, 449)(126, 426)(127, 427)(128, 452)(129, 453)(130, 430)(131, 431)(132, 432)(133, 457)(134, 458)(135, 459)(136, 436)(137, 461)(138, 438)(139, 439)(140, 464)(141, 465)(142, 442)(143, 443)(144, 444)(145, 463)(146, 467)(147, 466)(148, 448)(149, 460)(150, 450)(151, 451)(152, 455)(153, 468)(154, 454)(155, 456)(156, 462)(157, 469)(158, 470)(159, 471)(160, 472)(161, 473)(162, 474)(163, 475)(164, 476)(165, 477)(166, 478)(167, 479)(168, 480)(169, 481)(170, 482)(171, 483)(172, 484)(173, 485)(174, 486)(175, 487)(176, 488)(177, 489)(178, 490)(179, 491)(180, 492)(181, 493)(182, 494)(183, 495)(184, 496)(185, 497)(186, 498)(187, 499)(188, 500)(189, 501)(190, 502)(191, 503)(192, 504)(193, 505)(194, 506)(195, 507)(196, 508)(197, 509)(198, 510)(199, 511)(200, 512)(201, 513)(202, 514)(203, 515)(204, 516)(205, 517)(206, 518)(207, 519)(208, 520)(209, 521)(210, 522)(211, 523)(212, 524)(213, 525)(214, 526)(215, 527)(216, 528)(217, 529)(218, 530)(219, 531)(220, 532)(221, 533)(222, 534)(223, 535)(224, 536)(225, 537)(226, 538)(227, 539)(228, 540)(229, 541)(230, 542)(231, 543)(232, 544)(233, 545)(234, 546)(235, 547)(236, 548)(237, 549)(238, 550)(239, 551)(240, 552)(241, 553)(242, 554)(243, 555)(244, 556)(245, 557)(246, 558)(247, 559)(248, 560)(249, 561)(250, 562)(251, 563)(252, 564)(253, 565)(254, 566)(255, 567)(256, 568)(257, 569)(258, 570)(259, 571)(260, 572)(261, 573)(262, 574)(263, 575)(264, 576)(265, 577)(266, 578)(267, 579)(268, 580)(269, 581)(270, 582)(271, 583)(272, 584)(273, 585)(274, 586)(275, 587)(276, 588)(277, 589)(278, 590)(279, 591)(280, 592)(281, 593)(282, 594)(283, 595)(284, 596)(285, 597)(286, 598)(287, 599)(288, 600)(289, 601)(290, 602)(291, 603)(292, 604)(293, 605)(294, 606)(295, 607)(296, 608)(297, 609)(298, 610)(299, 611)(300, 612)(301, 613)(302, 614)(303, 615)(304, 616)(305, 617)(306, 618)(307, 619)(308, 620)(309, 621)(310, 622)(311, 623)(312, 624)
	local type(s) :: { ( 4, 156 ), ( 4, 156, 4, 156, 4, 156, 4, 156, 4, 156, 4, 156 ) }
Outer automorphisms :: reflexible
Dual of E26.1391
Graph:: simple bipartite
	v = 182 e = 312 f = 80
	degree seq :: [ 2^156, 12^26 ]

E26.1393 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 3, 28})
Quotient :: edge
Aut^+ = (C7 x Q8) : C3 (small group id <168, 23>)
Aut   = (C7 x Q8) : C3 (small group id <168, 23>)
|r| :: 1
Presentation :: [ X1^3, (X2^-1 * X1^-1)^3, X2 * X1^-1 * X2^-1 * X1 * X2^-2 * X1 * X2^-1 * X1^-1, X2^-1 * X1 * X2 * X1^-1 * X2^2 * X1^-1 * X2 * X1, X2^-3 * X1 * X2^-2 * X1^-1 * X2^-3, X2^6 * X1 * X2^2 * X1^-1, X2 * X1^-1 * X2^-3 * X1^-1 * X2^3 * X1^-1, X2^-2 * X1^2 * X2^2 * X1^-1 * X2^-4 * 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, 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, 105)(45, 106, 97)(46, 108, 84)(47, 110, 111)(48, 113, 61)(51, 117, 118)(52, 120, 102)(55, 123, 116)(57, 125, 114)(59, 129, 130)(62, 133, 127)(64, 135, 73)(67, 139, 140)(68, 89, 131)(70, 142, 128)(72, 145, 146)(74, 148, 112)(75, 149, 150)(78, 152, 153)(80, 154, 103)(86, 141, 156)(88, 157, 107)(90, 138, 158)(93, 124, 159)(96, 161, 151)(98, 162, 121)(100, 122, 163)(109, 165, 144)(115, 167, 147)(119, 134, 168)(126, 143, 160)(132, 164, 137)(136, 155, 166)(169, 171, 177, 193, 227, 276, 218, 284, 328, 262, 244, 307, 336, 314, 334, 278, 331, 309, 237, 303, 332, 271, 211, 270, 261, 207, 183, 173)(170, 174, 185, 210, 268, 316, 245, 319, 297, 257, 205, 256, 305, 233, 304, 317, 294, 225, 192, 224, 292, 312, 239, 255, 287, 219, 189, 175)(172, 179, 198, 238, 311, 247, 206, 258, 290, 221, 217, 283, 327, 273, 323, 250, 298, 266, 209, 265, 302, 230, 194, 229, 300, 246, 201, 180)(176, 190, 220, 289, 324, 326, 308, 321, 252, 203, 181, 202, 248, 281, 279, 272, 263, 296, 226, 295, 259, 315, 241, 199, 240, 274, 223, 191)(178, 195, 232, 264, 208, 184, 182, 204, 254, 293, 291, 325, 260, 280, 215, 187, 214, 277, 288, 318, 313, 299, 228, 267, 322, 285, 235, 196)(186, 212, 234, 306, 236, 197, 188, 216, 282, 330, 329, 335, 286, 249, 243, 200, 242, 301, 253, 251, 231, 222, 269, 310, 333, 320, 275, 213)
	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) :: { ( 6^3 ), ( 6^28 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 62 e = 168 f = 56
	degree seq :: [ 3^56, 28^6 ]

E26.1394 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 3, 28})
Quotient :: loop
Aut^+ = (C7 x Q8) : C3 (small group id <168, 23>)
Aut   = (C7 x Q8) : C3 (small group id <168, 23>)
|r| :: 1
Presentation :: [ X1^3, X2^3, X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1^-1 * X2^-1 * X1 * X2^-1, X1 * X2^-1 * X1^-1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1, X2 * X1 * X2^-1 * X1^-1 * X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1, (X2 * X1^-1)^6, X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2 * X1 ]
Map:: polytopal non-degenerate
	R = (1, 169, 2, 170, 4, 172)(3, 171, 8, 176, 9, 177)(5, 173, 12, 180, 13, 181)(6, 174, 14, 182, 15, 183)(7, 175, 16, 184, 17, 185)(10, 178, 22, 190, 23, 191)(11, 179, 24, 192, 25, 193)(18, 186, 38, 206, 39, 207)(19, 187, 40, 208, 41, 209)(20, 188, 42, 210, 43, 211)(21, 189, 44, 212, 45, 213)(26, 194, 54, 222, 55, 223)(27, 195, 56, 224, 57, 225)(28, 196, 58, 226, 59, 227)(29, 197, 60, 228, 61, 229)(30, 198, 62, 230, 63, 231)(31, 199, 64, 232, 65, 233)(32, 200, 66, 234, 67, 235)(33, 201, 68, 236, 69, 237)(34, 202, 70, 238, 71, 239)(35, 203, 72, 240, 73, 241)(36, 204, 74, 242, 75, 243)(37, 205, 76, 244, 77, 245)(46, 214, 91, 259, 92, 260)(47, 215, 93, 261, 94, 262)(48, 216, 82, 250, 95, 263)(49, 217, 96, 264, 97, 265)(50, 218, 98, 266, 99, 267)(51, 219, 87, 255, 100, 268)(52, 220, 101, 269, 102, 270)(53, 221, 103, 271, 104, 272)(78, 246, 133, 301, 134, 302)(79, 247, 110, 278, 135, 303)(80, 248, 136, 304, 137, 305)(81, 249, 106, 274, 138, 306)(83, 251, 116, 284, 139, 307)(84, 252, 114, 282, 122, 290)(85, 253, 125, 293, 140, 308)(86, 254, 108, 276, 127, 295)(88, 256, 141, 309, 142, 310)(89, 257, 112, 280, 143, 311)(90, 258, 144, 312, 145, 313)(105, 273, 129, 297, 154, 322)(107, 275, 132, 300, 155, 323)(109, 277, 156, 324, 149, 317)(111, 279, 157, 325, 118, 286)(113, 281, 158, 326, 159, 327)(115, 283, 160, 328, 151, 319)(117, 285, 128, 296, 161, 329)(119, 287, 146, 314, 162, 330)(120, 288, 131, 299, 148, 316)(121, 289, 150, 318, 163, 331)(123, 291, 130, 298, 164, 332)(124, 292, 165, 333, 166, 334)(126, 294, 153, 321, 167, 335)(147, 315, 152, 320, 168, 336)
	L = (1, 171)(2, 174)(3, 173)(4, 178)(5, 169)(6, 175)(7, 170)(8, 186)(9, 188)(10, 179)(11, 172)(12, 194)(13, 196)(14, 198)(15, 200)(16, 202)(17, 204)(18, 187)(19, 176)(20, 189)(21, 177)(22, 214)(23, 216)(24, 218)(25, 220)(26, 195)(27, 180)(28, 197)(29, 181)(30, 199)(31, 182)(32, 201)(33, 183)(34, 203)(35, 184)(36, 205)(37, 185)(38, 246)(39, 238)(40, 249)(41, 251)(42, 232)(43, 254)(44, 256)(45, 244)(46, 215)(47, 190)(48, 217)(49, 191)(50, 219)(51, 192)(52, 221)(53, 193)(54, 273)(55, 274)(56, 235)(57, 277)(58, 278)(59, 241)(60, 281)(61, 282)(62, 284)(63, 266)(64, 253)(65, 287)(66, 261)(67, 276)(68, 290)(69, 271)(70, 248)(71, 293)(72, 263)(73, 280)(74, 296)(75, 268)(76, 258)(77, 299)(78, 247)(79, 206)(80, 207)(81, 250)(82, 208)(83, 252)(84, 209)(85, 210)(86, 255)(87, 211)(88, 257)(89, 212)(90, 213)(91, 314)(92, 222)(93, 289)(94, 302)(95, 295)(96, 316)(97, 228)(98, 286)(99, 318)(100, 298)(101, 320)(102, 225)(103, 292)(104, 310)(105, 260)(106, 275)(107, 223)(108, 224)(109, 270)(110, 279)(111, 226)(112, 227)(113, 265)(114, 283)(115, 229)(116, 285)(117, 230)(118, 231)(119, 288)(120, 233)(121, 234)(122, 291)(123, 236)(124, 237)(125, 294)(126, 239)(127, 240)(128, 297)(129, 242)(130, 243)(131, 300)(132, 245)(133, 324)(134, 309)(135, 330)(136, 269)(137, 312)(138, 325)(139, 311)(140, 322)(141, 262)(142, 321)(143, 336)(144, 331)(145, 327)(146, 315)(147, 259)(148, 317)(149, 264)(150, 319)(151, 267)(152, 304)(153, 272)(154, 326)(155, 328)(156, 329)(157, 333)(158, 308)(159, 334)(160, 335)(161, 301)(162, 332)(163, 305)(164, 303)(165, 306)(166, 313)(167, 323)(168, 307)
	local type(s) :: { ( 3, 28, 3, 28, 3, 28 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple
	v = 56 e = 168 f = 62
	degree seq :: [ 6^56 ]

E26.1395 :: Family: { 2*ex } :: Oriented family(ies): { E3c }
Signature :: (0; {3, 3, 28})
Quotient :: loop
Aut^+ = (C7 x Q8) : C3 (small group id <168, 23>)
Aut   = ((C7 x Q8) : C3) : C2 (small group id <336, 134>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, F * T1 * F * T2, T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1, T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1, (T2 * T1^-1)^6, T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2 ]
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, 70, 80)(40, 81, 82)(41, 83, 84)(42, 64, 85)(43, 86, 87)(44, 88, 89)(45, 76, 90)(54, 105, 92)(55, 106, 107)(56, 67, 108)(57, 109, 102)(58, 110, 111)(59, 73, 112)(60, 113, 97)(61, 114, 115)(62, 116, 117)(63, 98, 118)(65, 119, 120)(66, 93, 121)(68, 122, 123)(69, 103, 124)(71, 125, 126)(72, 95, 127)(74, 128, 129)(75, 100, 130)(77, 131, 132)(91, 142, 146)(94, 145, 147)(96, 148, 149)(99, 150, 134)(101, 151, 152)(104, 153, 154)(133, 141, 161)(135, 155, 162)(136, 144, 157)(137, 158, 164)(138, 143, 163)(139, 165, 167)(140, 160, 168)(156, 159, 166)(169, 170, 172)(171, 176, 177)(173, 180, 181)(174, 182, 183)(175, 184, 185)(178, 190, 191)(179, 192, 193)(186, 206, 207)(187, 208, 209)(188, 210, 211)(189, 212, 213)(194, 222, 223)(195, 224, 225)(196, 226, 227)(197, 228, 229)(198, 230, 231)(199, 232, 233)(200, 234, 235)(201, 236, 237)(202, 238, 239)(203, 240, 241)(204, 242, 243)(205, 244, 245)(214, 259, 260)(215, 261, 262)(216, 250, 263)(217, 264, 265)(218, 266, 267)(219, 255, 268)(220, 269, 270)(221, 271, 272)(246, 290, 301)(247, 278, 302)(248, 303, 304)(249, 274, 305)(251, 292, 306)(252, 282, 307)(253, 293, 308)(254, 276, 295)(256, 309, 310)(257, 280, 311)(258, 312, 313)(273, 323, 324)(275, 285, 296)(277, 325, 317)(279, 326, 322)(281, 327, 287)(283, 297, 328)(284, 316, 329)(286, 330, 331)(288, 299, 332)(289, 318, 333)(291, 298, 334)(294, 314, 319)(300, 320, 335)(315, 321, 336)
	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) :: { ( 56^3 ) }
Outer automorphisms :: reflexible
Dual of E26.1396
Transitivity :: ET+ VT AT
Graph:: simple bipartite
	v = 112 e = 168 f = 6
	degree seq :: [ 3^112 ]

E26.1396 :: Family: { 2ex } :: Oriented family(ies): { E3*c }
Signature :: (0; {3, 3, 28})
Quotient :: edge
Aut^+ = (C7 x Q8) : C3 (small group id <168, 23>)
Aut   = ((C7 x Q8) : C3) : C2 (small group id <336, 134>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, F * T1^-1 * F * T1 * T2, (T2^-1 * T1^-1)^3, T2 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2^2 * T1^-1, T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1 * T2^-1 * T1, T2^-1 * T1 * T2^2 * T1^-1 * T2 * T1 * T2^-2 * T1^-1, T2 * T1^-1 * T2^-1 * T1^-1 * T2^5 * T1^-1, T2^2 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2, (T1^-1 * T2^2 * T1 * F)^2 ]
Map:: polytopal non-degenerate
	R = (1, 169, 3, 171, 9, 177, 25, 193, 59, 227, 94, 262, 76, 244, 138, 306, 162, 330, 108, 276, 50, 218, 116, 284, 168, 336, 146, 314, 167, 335, 110, 278, 165, 333, 103, 271, 43, 211, 102, 270, 164, 332, 142, 310, 69, 237, 134, 302, 93, 261, 39, 207, 15, 183, 5, 173)(2, 170, 6, 174, 17, 185, 42, 210, 100, 268, 89, 257, 37, 205, 88, 256, 158, 326, 148, 316, 77, 245, 151, 319, 136, 304, 65, 233, 135, 303, 149, 317, 128, 296, 144, 312, 71, 239, 87, 255, 126, 294, 57, 225, 24, 192, 56, 224, 119, 287, 51, 219, 21, 189, 7, 175)(4, 172, 11, 179, 30, 198, 70, 238, 122, 290, 53, 221, 49, 217, 115, 283, 129, 297, 79, 247, 38, 206, 90, 258, 159, 327, 105, 273, 156, 324, 82, 250, 133, 301, 62, 230, 26, 194, 61, 229, 131, 299, 98, 266, 41, 209, 97, 265, 154, 322, 78, 246, 33, 201, 12, 180)(8, 176, 22, 190, 52, 220, 121, 289, 84, 252, 35, 203, 13, 181, 34, 202, 80, 248, 143, 311, 139, 307, 153, 321, 91, 259, 113, 281, 111, 279, 104, 272, 95, 263, 147, 315, 73, 241, 31, 199, 72, 240, 106, 274, 58, 226, 127, 295, 157, 325, 124, 292, 55, 223, 23, 191)(10, 178, 27, 195, 64, 232, 99, 267, 155, 323, 125, 293, 123, 291, 96, 264, 40, 208, 16, 184, 14, 182, 36, 204, 86, 254, 112, 280, 47, 215, 19, 187, 46, 214, 109, 277, 60, 228, 130, 298, 92, 260, 117, 285, 120, 288, 150, 318, 145, 313, 140, 308, 67, 235, 28, 196)(18, 186, 44, 212, 66, 234, 137, 305, 166, 334, 161, 329, 160, 328, 141, 309, 68, 236, 29, 197, 20, 188, 48, 216, 114, 282, 81, 249, 75, 243, 32, 200, 74, 242, 132, 300, 101, 269, 163, 331, 118, 286, 152, 320, 85, 253, 83, 251, 63, 231, 54, 222, 107, 275, 45, 213)
	L = (1, 170)(2, 172)(3, 176)(4, 169)(5, 181)(6, 184)(7, 187)(8, 178)(9, 192)(10, 171)(11, 197)(12, 200)(13, 182)(14, 173)(15, 205)(16, 186)(17, 209)(18, 174)(19, 188)(20, 175)(21, 217)(22, 180)(23, 221)(24, 194)(25, 226)(26, 177)(27, 231)(28, 234)(29, 199)(30, 237)(31, 179)(32, 190)(33, 244)(34, 247)(35, 250)(36, 253)(37, 206)(38, 183)(39, 259)(40, 262)(41, 211)(42, 267)(43, 185)(44, 272)(45, 274)(46, 276)(47, 278)(48, 281)(49, 218)(50, 189)(51, 285)(52, 288)(53, 222)(54, 191)(55, 291)(56, 196)(57, 293)(58, 228)(59, 296)(60, 193)(61, 216)(62, 300)(63, 233)(64, 302)(65, 195)(66, 224)(67, 306)(68, 257)(69, 239)(70, 305)(71, 198)(72, 313)(73, 232)(74, 316)(75, 317)(76, 245)(77, 201)(78, 320)(79, 249)(80, 323)(81, 202)(82, 251)(83, 203)(84, 214)(85, 255)(86, 310)(87, 204)(88, 298)(89, 308)(90, 309)(91, 260)(92, 207)(93, 304)(94, 263)(95, 208)(96, 328)(97, 213)(98, 329)(99, 269)(100, 301)(101, 210)(102, 220)(103, 248)(104, 273)(105, 212)(106, 265)(107, 256)(108, 252)(109, 334)(110, 279)(111, 215)(112, 242)(113, 229)(114, 225)(115, 331)(116, 223)(117, 286)(118, 219)(119, 327)(120, 270)(121, 266)(122, 333)(123, 284)(124, 258)(125, 282)(126, 322)(127, 230)(128, 297)(129, 227)(130, 275)(131, 261)(132, 295)(133, 330)(134, 241)(135, 324)(136, 299)(137, 311)(138, 307)(139, 235)(140, 236)(141, 292)(142, 325)(143, 238)(144, 277)(145, 314)(146, 240)(147, 283)(148, 280)(149, 318)(150, 243)(151, 264)(152, 321)(153, 246)(154, 336)(155, 271)(156, 335)(157, 254)(158, 290)(159, 332)(160, 319)(161, 289)(162, 268)(163, 315)(164, 287)(165, 326)(166, 312)(167, 303)(168, 294)
	local type(s) :: { ( 3^56 ) }
Outer automorphisms :: reflexible
Dual of E26.1395
Transitivity :: ET+ VT+
Graph::
	v = 6 e = 168 f = 112
	degree seq :: [ 56^6 ]

E26.1397 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 28})
Quotient :: edge^2
Aut^+ = (C7 x Q8) : C3 (small group id <168, 23>)
Aut   = ((C7 x Q8) : C3) : C2 (small group id <336, 134>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^-1 * Y3^-1 * Y2^-1, Y1^3, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1^-1 * Y2^-1 * Y3^2 * Y2 * Y1^-1 * Y2, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-3 * Y1^-1 * Y2^-1, Y1 * Y3 * Y2 * Y3^-2 * Y1^-1 * Y3^2 * Y2^-1, Y3 * Y2^-1 * Y3^-2 * Y1 * Y3 * Y2 * Y1^-1 * Y3, Y3 * Y2^-1 * Y3^-2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 169, 4, 172, 15, 183, 44, 212, 111, 279, 80, 248, 85, 253, 136, 304, 156, 324, 76, 244, 37, 205, 98, 266, 150, 318, 165, 333, 168, 336, 159, 327, 163, 331, 131, 299, 53, 221, 119, 287, 151, 319, 69, 237, 71, 239, 96, 264, 149, 317, 65, 233, 23, 191, 7, 175)(2, 170, 8, 176, 25, 193, 70, 238, 91, 259, 33, 201, 38, 206, 100, 268, 113, 281, 132, 300, 63, 231, 145, 313, 116, 284, 118, 286, 164, 332, 92, 260, 123, 291, 49, 217, 17, 185, 41, 209, 106, 274, 125, 293, 127, 295, 144, 312, 162, 330, 86, 254, 31, 199, 10, 178)(3, 171, 5, 173, 18, 186, 51, 219, 126, 294, 140, 308, 59, 227, 64, 232, 147, 315, 133, 301, 55, 223, 84, 252, 160, 328, 107, 275, 152, 320, 167, 335, 141, 309, 155, 323, 75, 243, 27, 195, 67, 235, 109, 277, 43, 211, 45, 213, 114, 282, 103, 271, 39, 207, 13, 181)(6, 174, 12, 180, 35, 203, 95, 263, 166, 334, 105, 273, 99, 267, 102, 270, 142, 310, 60, 228, 21, 189, 58, 226, 138, 306, 83, 251, 153, 321, 74, 242, 77, 245, 115, 283, 46, 214, 90, 258, 148, 316, 124, 292, 50, 218, 52, 220, 129, 297, 66, 234, 57, 225, 20, 188)(9, 177, 22, 190, 61, 229, 143, 311, 121, 289, 135, 303, 146, 314, 87, 255, 89, 257, 81, 249, 29, 197, 79, 247, 97, 265, 36, 204, 93, 261, 130, 298, 110, 278, 112, 280, 72, 240, 139, 307, 108, 276, 42, 210, 14, 182, 16, 184, 47, 215, 117, 285, 78, 246, 28, 196)(11, 179, 32, 200, 88, 256, 62, 230, 120, 288, 48, 216, 56, 224, 134, 302, 128, 296, 158, 326, 101, 269, 68, 236, 24, 192, 26, 194, 73, 241, 40, 208, 104, 272, 54, 222, 19, 187, 30, 198, 82, 250, 122, 290, 154, 322, 157, 325, 161, 329, 137, 305, 94, 262, 34, 202)(337, 338, 341)(339, 347, 348)(340, 342, 352)(343, 357, 358)(344, 345, 362)(346, 365, 366)(349, 373, 374)(350, 376, 377)(351, 353, 381)(354, 355, 388)(356, 391, 392)(359, 399, 400)(360, 402, 403)(361, 363, 407)(364, 412, 413)(367, 420, 421)(368, 369, 425)(370, 428, 429)(371, 372, 432)(375, 437, 438)(378, 434, 435)(379, 424, 426)(380, 382, 448)(383, 384, 454)(385, 457, 458)(386, 453, 455)(387, 389, 463)(390, 468, 446)(393, 471, 472)(394, 395, 430)(396, 477, 456)(397, 398, 480)(401, 484, 423)(404, 481, 482)(405, 474, 475)(406, 408, 470)(409, 410, 488)(411, 490, 431)(414, 493, 436)(415, 416, 478)(417, 495, 489)(418, 419, 450)(422, 444, 473)(427, 469, 499)(433, 494, 461)(439, 487, 452)(440, 441, 483)(442, 443, 485)(445, 486, 498)(447, 449, 491)(451, 462, 464)(459, 476, 492)(460, 496, 497)(465, 466, 501)(467, 502, 479)(500, 503, 504)(505, 507, 510)(506, 511, 513)(508, 518, 521)(509, 514, 523)(512, 528, 531)(515, 517, 537)(516, 538, 540)(519, 547, 550)(520, 524, 552)(522, 554, 557)(525, 527, 563)(526, 564, 566)(529, 573, 576)(530, 532, 578)(533, 535, 584)(534, 585, 587)(536, 591, 594)(539, 575, 579)(541, 543, 603)(542, 580, 582)(544, 546, 609)(545, 577, 611)(548, 614, 617)(549, 553, 586)(551, 620, 623)(555, 629, 632)(556, 558, 634)(559, 561, 589)(560, 637, 574)(562, 641, 643)(565, 631, 635)(567, 569, 650)(568, 636, 608)(570, 572, 639)(571, 633, 654)(581, 660, 630)(583, 606, 662)(588, 590, 665)(592, 613, 648)(593, 595, 663)(596, 598, 644)(597, 668, 669)(599, 626, 647)(600, 601, 610)(602, 612, 666)(604, 658, 659)(605, 607, 649)(615, 645, 646)(616, 619, 638)(618, 642, 655)(621, 628, 661)(622, 624, 671)(625, 627, 640)(651, 670, 667)(652, 653, 664)(656, 657, 672)
	L = (1, 337)(2, 338)(3, 339)(4, 340)(5, 341)(6, 342)(7, 343)(8, 344)(9, 345)(10, 346)(11, 347)(12, 348)(13, 349)(14, 350)(15, 351)(16, 352)(17, 353)(18, 354)(19, 355)(20, 356)(21, 357)(22, 358)(23, 359)(24, 360)(25, 361)(26, 362)(27, 363)(28, 364)(29, 365)(30, 366)(31, 367)(32, 368)(33, 369)(34, 370)(35, 371)(36, 372)(37, 373)(38, 374)(39, 375)(40, 376)(41, 377)(42, 378)(43, 379)(44, 380)(45, 381)(46, 382)(47, 383)(48, 384)(49, 385)(50, 386)(51, 387)(52, 388)(53, 389)(54, 390)(55, 391)(56, 392)(57, 393)(58, 394)(59, 395)(60, 396)(61, 397)(62, 398)(63, 399)(64, 400)(65, 401)(66, 402)(67, 403)(68, 404)(69, 405)(70, 406)(71, 407)(72, 408)(73, 409)(74, 410)(75, 411)(76, 412)(77, 413)(78, 414)(79, 415)(80, 416)(81, 417)(82, 418)(83, 419)(84, 420)(85, 421)(86, 422)(87, 423)(88, 424)(89, 425)(90, 426)(91, 427)(92, 428)(93, 429)(94, 430)(95, 431)(96, 432)(97, 433)(98, 434)(99, 435)(100, 436)(101, 437)(102, 438)(103, 439)(104, 440)(105, 441)(106, 442)(107, 443)(108, 444)(109, 445)(110, 446)(111, 447)(112, 448)(113, 449)(114, 450)(115, 451)(116, 452)(117, 453)(118, 454)(119, 455)(120, 456)(121, 457)(122, 458)(123, 459)(124, 460)(125, 461)(126, 462)(127, 463)(128, 464)(129, 465)(130, 466)(131, 467)(132, 468)(133, 469)(134, 470)(135, 471)(136, 472)(137, 473)(138, 474)(139, 475)(140, 476)(141, 477)(142, 478)(143, 479)(144, 480)(145, 481)(146, 482)(147, 483)(148, 484)(149, 485)(150, 486)(151, 487)(152, 488)(153, 489)(154, 490)(155, 491)(156, 492)(157, 493)(158, 494)(159, 495)(160, 496)(161, 497)(162, 498)(163, 499)(164, 500)(165, 501)(166, 502)(167, 503)(168, 504)(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) :: { ( 4^3 ), ( 4^56 ) }
Outer automorphisms :: reflexible
Dual of E26.1400
Graph:: simple bipartite
	v = 118 e = 336 f = 168
	degree seq :: [ 3^112, 56^6 ]

E26.1398 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 28})
Quotient :: edge^2
Aut^+ = (C7 x Q8) : C3 (small group id <168, 23>)
Aut   = ((C7 x Q8) : C3) : C2 (small group id <336, 134>)
|r| :: 2
Presentation :: [ Y3, R^2, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y2 * Y1^-1)^6, Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^28 ]
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, 338, 340)(339, 344, 345)(341, 348, 349)(342, 350, 351)(343, 352, 353)(346, 358, 359)(347, 360, 361)(354, 374, 375)(355, 376, 377)(356, 378, 379)(357, 380, 381)(362, 390, 391)(363, 392, 393)(364, 394, 395)(365, 396, 397)(366, 398, 399)(367, 400, 401)(368, 402, 403)(369, 404, 405)(370, 406, 407)(371, 408, 409)(372, 410, 411)(373, 412, 413)(382, 427, 428)(383, 429, 430)(384, 418, 431)(385, 432, 433)(386, 434, 435)(387, 423, 436)(388, 437, 438)(389, 439, 440)(414, 458, 469)(415, 446, 470)(416, 471, 472)(417, 442, 473)(419, 460, 474)(420, 450, 475)(421, 461, 476)(422, 444, 463)(424, 477, 478)(425, 448, 479)(426, 480, 481)(441, 491, 492)(443, 453, 464)(445, 493, 485)(447, 494, 490)(449, 495, 455)(451, 465, 496)(452, 484, 497)(454, 498, 499)(456, 467, 500)(457, 486, 501)(459, 466, 502)(462, 482, 487)(468, 488, 503)(483, 489, 504)(505, 507, 509)(506, 510, 511)(508, 514, 515)(512, 522, 523)(513, 524, 525)(516, 530, 531)(517, 532, 533)(518, 534, 535)(519, 536, 537)(520, 538, 539)(521, 540, 541)(526, 550, 551)(527, 552, 553)(528, 554, 555)(529, 556, 557)(542, 582, 583)(543, 574, 584)(544, 585, 586)(545, 587, 588)(546, 568, 589)(547, 590, 591)(548, 592, 593)(549, 580, 594)(558, 609, 596)(559, 610, 611)(560, 571, 612)(561, 613, 606)(562, 614, 615)(563, 577, 616)(564, 617, 601)(565, 618, 619)(566, 620, 621)(567, 602, 622)(569, 623, 624)(570, 597, 625)(572, 626, 627)(573, 607, 628)(575, 629, 630)(576, 599, 631)(578, 632, 633)(579, 604, 634)(581, 635, 636)(595, 646, 650)(598, 649, 651)(600, 652, 653)(603, 654, 638)(605, 655, 656)(608, 657, 658)(637, 645, 665)(639, 659, 666)(640, 648, 661)(641, 662, 668)(642, 647, 667)(643, 669, 671)(644, 664, 672)(660, 663, 670)
	L = (1, 337)(2, 338)(3, 339)(4, 340)(5, 341)(6, 342)(7, 343)(8, 344)(9, 345)(10, 346)(11, 347)(12, 348)(13, 349)(14, 350)(15, 351)(16, 352)(17, 353)(18, 354)(19, 355)(20, 356)(21, 357)(22, 358)(23, 359)(24, 360)(25, 361)(26, 362)(27, 363)(28, 364)(29, 365)(30, 366)(31, 367)(32, 368)(33, 369)(34, 370)(35, 371)(36, 372)(37, 373)(38, 374)(39, 375)(40, 376)(41, 377)(42, 378)(43, 379)(44, 380)(45, 381)(46, 382)(47, 383)(48, 384)(49, 385)(50, 386)(51, 387)(52, 388)(53, 389)(54, 390)(55, 391)(56, 392)(57, 393)(58, 394)(59, 395)(60, 396)(61, 397)(62, 398)(63, 399)(64, 400)(65, 401)(66, 402)(67, 403)(68, 404)(69, 405)(70, 406)(71, 407)(72, 408)(73, 409)(74, 410)(75, 411)(76, 412)(77, 413)(78, 414)(79, 415)(80, 416)(81, 417)(82, 418)(83, 419)(84, 420)(85, 421)(86, 422)(87, 423)(88, 424)(89, 425)(90, 426)(91, 427)(92, 428)(93, 429)(94, 430)(95, 431)(96, 432)(97, 433)(98, 434)(99, 435)(100, 436)(101, 437)(102, 438)(103, 439)(104, 440)(105, 441)(106, 442)(107, 443)(108, 444)(109, 445)(110, 446)(111, 447)(112, 448)(113, 449)(114, 450)(115, 451)(116, 452)(117, 453)(118, 454)(119, 455)(120, 456)(121, 457)(122, 458)(123, 459)(124, 460)(125, 461)(126, 462)(127, 463)(128, 464)(129, 465)(130, 466)(131, 467)(132, 468)(133, 469)(134, 470)(135, 471)(136, 472)(137, 473)(138, 474)(139, 475)(140, 476)(141, 477)(142, 478)(143, 479)(144, 480)(145, 481)(146, 482)(147, 483)(148, 484)(149, 485)(150, 486)(151, 487)(152, 488)(153, 489)(154, 490)(155, 491)(156, 492)(157, 493)(158, 494)(159, 495)(160, 496)(161, 497)(162, 498)(163, 499)(164, 500)(165, 501)(166, 502)(167, 503)(168, 504)(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) :: { ( 112, 112 ), ( 112^3 ) }
Outer automorphisms :: reflexible
Dual of E26.1399
Graph:: simple bipartite
	v = 280 e = 336 f = 6
	degree seq :: [ 2^168, 3^112 ]

E26.1399 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 28})
Quotient :: loop^2
Aut^+ = (C7 x Q8) : C3 (small group id <168, 23>)
Aut   = ((C7 x Q8) : C3) : C2 (small group id <336, 134>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^-1 * Y3^-1 * Y2^-1, Y1^3, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1^-1 * Y2^-1 * Y3^2 * Y2 * Y1^-1 * Y2, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-3 * Y1^-1 * Y2^-1, Y1 * Y3 * Y2 * Y3^-2 * Y1^-1 * Y3^2 * Y2^-1, Y3 * Y2^-1 * Y3^-2 * Y1 * Y3 * Y2 * Y1^-1 * Y3, Y3 * Y2^-1 * Y3^-2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2 * Y1^-1 ]
Map::
	R = (1, 169, 337, 505, 4, 172, 340, 508, 15, 183, 351, 519, 44, 212, 380, 548, 111, 279, 447, 615, 80, 248, 416, 584, 85, 253, 421, 589, 136, 304, 472, 640, 156, 324, 492, 660, 76, 244, 412, 580, 37, 205, 373, 541, 98, 266, 434, 602, 150, 318, 486, 654, 165, 333, 501, 669, 168, 336, 504, 672, 159, 327, 495, 663, 163, 331, 499, 667, 131, 299, 467, 635, 53, 221, 389, 557, 119, 287, 455, 623, 151, 319, 487, 655, 69, 237, 405, 573, 71, 239, 407, 575, 96, 264, 432, 600, 149, 317, 485, 653, 65, 233, 401, 569, 23, 191, 359, 527, 7, 175, 343, 511)(2, 170, 338, 506, 8, 176, 344, 512, 25, 193, 361, 529, 70, 238, 406, 574, 91, 259, 427, 595, 33, 201, 369, 537, 38, 206, 374, 542, 100, 268, 436, 604, 113, 281, 449, 617, 132, 300, 468, 636, 63, 231, 399, 567, 145, 313, 481, 649, 116, 284, 452, 620, 118, 286, 454, 622, 164, 332, 500, 668, 92, 260, 428, 596, 123, 291, 459, 627, 49, 217, 385, 553, 17, 185, 353, 521, 41, 209, 377, 545, 106, 274, 442, 610, 125, 293, 461, 629, 127, 295, 463, 631, 144, 312, 480, 648, 162, 330, 498, 666, 86, 254, 422, 590, 31, 199, 367, 535, 10, 178, 346, 514)(3, 171, 339, 507, 5, 173, 341, 509, 18, 186, 354, 522, 51, 219, 387, 555, 126, 294, 462, 630, 140, 308, 476, 644, 59, 227, 395, 563, 64, 232, 400, 568, 147, 315, 483, 651, 133, 301, 469, 637, 55, 223, 391, 559, 84, 252, 420, 588, 160, 328, 496, 664, 107, 275, 443, 611, 152, 320, 488, 656, 167, 335, 503, 671, 141, 309, 477, 645, 155, 323, 491, 659, 75, 243, 411, 579, 27, 195, 363, 531, 67, 235, 403, 571, 109, 277, 445, 613, 43, 211, 379, 547, 45, 213, 381, 549, 114, 282, 450, 618, 103, 271, 439, 607, 39, 207, 375, 543, 13, 181, 349, 517)(6, 174, 342, 510, 12, 180, 348, 516, 35, 203, 371, 539, 95, 263, 431, 599, 166, 334, 502, 670, 105, 273, 441, 609, 99, 267, 435, 603, 102, 270, 438, 606, 142, 310, 478, 646, 60, 228, 396, 564, 21, 189, 357, 525, 58, 226, 394, 562, 138, 306, 474, 642, 83, 251, 419, 587, 153, 321, 489, 657, 74, 242, 410, 578, 77, 245, 413, 581, 115, 283, 451, 619, 46, 214, 382, 550, 90, 258, 426, 594, 148, 316, 484, 652, 124, 292, 460, 628, 50, 218, 386, 554, 52, 220, 388, 556, 129, 297, 465, 633, 66, 234, 402, 570, 57, 225, 393, 561, 20, 188, 356, 524)(9, 177, 345, 513, 22, 190, 358, 526, 61, 229, 397, 565, 143, 311, 479, 647, 121, 289, 457, 625, 135, 303, 471, 639, 146, 314, 482, 650, 87, 255, 423, 591, 89, 257, 425, 593, 81, 249, 417, 585, 29, 197, 365, 533, 79, 247, 415, 583, 97, 265, 433, 601, 36, 204, 372, 540, 93, 261, 429, 597, 130, 298, 466, 634, 110, 278, 446, 614, 112, 280, 448, 616, 72, 240, 408, 576, 139, 307, 475, 643, 108, 276, 444, 612, 42, 210, 378, 546, 14, 182, 350, 518, 16, 184, 352, 520, 47, 215, 383, 551, 117, 285, 453, 621, 78, 246, 414, 582, 28, 196, 364, 532)(11, 179, 347, 515, 32, 200, 368, 536, 88, 256, 424, 592, 62, 230, 398, 566, 120, 288, 456, 624, 48, 216, 384, 552, 56, 224, 392, 560, 134, 302, 470, 638, 128, 296, 464, 632, 158, 326, 494, 662, 101, 269, 437, 605, 68, 236, 404, 572, 24, 192, 360, 528, 26, 194, 362, 530, 73, 241, 409, 577, 40, 208, 376, 544, 104, 272, 440, 608, 54, 222, 390, 558, 19, 187, 355, 523, 30, 198, 366, 534, 82, 250, 418, 586, 122, 290, 458, 626, 154, 322, 490, 658, 157, 325, 493, 661, 161, 329, 497, 665, 137, 305, 473, 641, 94, 262, 430, 598, 34, 202, 370, 538)
	L = (1, 170)(2, 173)(3, 179)(4, 174)(5, 169)(6, 184)(7, 189)(8, 177)(9, 194)(10, 197)(11, 180)(12, 171)(13, 205)(14, 208)(15, 185)(16, 172)(17, 213)(18, 187)(19, 220)(20, 223)(21, 190)(22, 175)(23, 231)(24, 234)(25, 195)(26, 176)(27, 239)(28, 244)(29, 198)(30, 178)(31, 252)(32, 201)(33, 257)(34, 260)(35, 204)(36, 264)(37, 206)(38, 181)(39, 269)(40, 209)(41, 182)(42, 266)(43, 256)(44, 214)(45, 183)(46, 280)(47, 216)(48, 286)(49, 289)(50, 285)(51, 221)(52, 186)(53, 295)(54, 300)(55, 224)(56, 188)(57, 303)(58, 227)(59, 262)(60, 309)(61, 230)(62, 312)(63, 232)(64, 191)(65, 316)(66, 235)(67, 192)(68, 313)(69, 306)(70, 240)(71, 193)(72, 302)(73, 242)(74, 320)(75, 322)(76, 245)(77, 196)(78, 325)(79, 248)(80, 310)(81, 327)(82, 251)(83, 282)(84, 253)(85, 199)(86, 276)(87, 233)(88, 258)(89, 200)(90, 211)(91, 301)(92, 261)(93, 202)(94, 226)(95, 243)(96, 203)(97, 326)(98, 267)(99, 210)(100, 246)(101, 270)(102, 207)(103, 319)(104, 273)(105, 315)(106, 275)(107, 317)(108, 305)(109, 318)(110, 222)(111, 281)(112, 212)(113, 323)(114, 250)(115, 294)(116, 271)(117, 287)(118, 215)(119, 218)(120, 228)(121, 290)(122, 217)(123, 308)(124, 328)(125, 265)(126, 296)(127, 219)(128, 283)(129, 298)(130, 333)(131, 334)(132, 278)(133, 331)(134, 238)(135, 304)(136, 225)(137, 254)(138, 307)(139, 237)(140, 324)(141, 288)(142, 247)(143, 299)(144, 229)(145, 314)(146, 236)(147, 272)(148, 255)(149, 274)(150, 330)(151, 284)(152, 241)(153, 249)(154, 263)(155, 279)(156, 291)(157, 268)(158, 293)(159, 321)(160, 329)(161, 292)(162, 277)(163, 259)(164, 335)(165, 297)(166, 311)(167, 336)(168, 332)(337, 507)(338, 511)(339, 510)(340, 518)(341, 514)(342, 505)(343, 513)(344, 528)(345, 506)(346, 523)(347, 517)(348, 538)(349, 537)(350, 521)(351, 547)(352, 524)(353, 508)(354, 554)(355, 509)(356, 552)(357, 527)(358, 564)(359, 563)(360, 531)(361, 573)(362, 532)(363, 512)(364, 578)(365, 535)(366, 585)(367, 584)(368, 591)(369, 515)(370, 540)(371, 575)(372, 516)(373, 543)(374, 580)(375, 603)(376, 546)(377, 577)(378, 609)(379, 550)(380, 614)(381, 553)(382, 519)(383, 620)(384, 520)(385, 586)(386, 557)(387, 629)(388, 558)(389, 522)(390, 634)(391, 561)(392, 637)(393, 589)(394, 641)(395, 525)(396, 566)(397, 631)(398, 526)(399, 569)(400, 636)(401, 650)(402, 572)(403, 633)(404, 639)(405, 576)(406, 560)(407, 579)(408, 529)(409, 611)(410, 530)(411, 539)(412, 582)(413, 660)(414, 542)(415, 606)(416, 533)(417, 587)(418, 549)(419, 534)(420, 590)(421, 559)(422, 665)(423, 594)(424, 613)(425, 595)(426, 536)(427, 663)(428, 598)(429, 668)(430, 644)(431, 626)(432, 601)(433, 610)(434, 612)(435, 541)(436, 658)(437, 607)(438, 662)(439, 649)(440, 568)(441, 544)(442, 600)(443, 545)(444, 666)(445, 648)(446, 617)(447, 645)(448, 619)(449, 548)(450, 642)(451, 638)(452, 623)(453, 628)(454, 624)(455, 551)(456, 671)(457, 627)(458, 647)(459, 640)(460, 661)(461, 632)(462, 581)(463, 635)(464, 555)(465, 654)(466, 556)(467, 565)(468, 608)(469, 574)(470, 616)(471, 570)(472, 625)(473, 643)(474, 655)(475, 562)(476, 596)(477, 646)(478, 615)(479, 599)(480, 592)(481, 605)(482, 567)(483, 670)(484, 653)(485, 664)(486, 571)(487, 618)(488, 657)(489, 672)(490, 659)(491, 604)(492, 630)(493, 621)(494, 583)(495, 593)(496, 652)(497, 588)(498, 602)(499, 651)(500, 669)(501, 597)(502, 667)(503, 622)(504, 656)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1398
Transitivity :: VT+
Graph::
	v = 6 e = 336 f = 280
	degree seq :: [ 112^6 ]

E26.1400 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 28})
Quotient :: loop^2
Aut^+ = (C7 x Q8) : C3 (small group id <168, 23>)
Aut   = ((C7 x Q8) : C3) : C2 (small group id <336, 134>)
|r| :: 2
Presentation :: [ Y3, R^2, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y2 * Y1^-1)^6, Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^28 ]
Map:: polytopal non-degenerate
	R = (1, 169, 337, 505)(2, 170, 338, 506)(3, 171, 339, 507)(4, 172, 340, 508)(5, 173, 341, 509)(6, 174, 342, 510)(7, 175, 343, 511)(8, 176, 344, 512)(9, 177, 345, 513)(10, 178, 346, 514)(11, 179, 347, 515)(12, 180, 348, 516)(13, 181, 349, 517)(14, 182, 350, 518)(15, 183, 351, 519)(16, 184, 352, 520)(17, 185, 353, 521)(18, 186, 354, 522)(19, 187, 355, 523)(20, 188, 356, 524)(21, 189, 357, 525)(22, 190, 358, 526)(23, 191, 359, 527)(24, 192, 360, 528)(25, 193, 361, 529)(26, 194, 362, 530)(27, 195, 363, 531)(28, 196, 364, 532)(29, 197, 365, 533)(30, 198, 366, 534)(31, 199, 367, 535)(32, 200, 368, 536)(33, 201, 369, 537)(34, 202, 370, 538)(35, 203, 371, 539)(36, 204, 372, 540)(37, 205, 373, 541)(38, 206, 374, 542)(39, 207, 375, 543)(40, 208, 376, 544)(41, 209, 377, 545)(42, 210, 378, 546)(43, 211, 379, 547)(44, 212, 380, 548)(45, 213, 381, 549)(46, 214, 382, 550)(47, 215, 383, 551)(48, 216, 384, 552)(49, 217, 385, 553)(50, 218, 386, 554)(51, 219, 387, 555)(52, 220, 388, 556)(53, 221, 389, 557)(54, 222, 390, 558)(55, 223, 391, 559)(56, 224, 392, 560)(57, 225, 393, 561)(58, 226, 394, 562)(59, 227, 395, 563)(60, 228, 396, 564)(61, 229, 397, 565)(62, 230, 398, 566)(63, 231, 399, 567)(64, 232, 400, 568)(65, 233, 401, 569)(66, 234, 402, 570)(67, 235, 403, 571)(68, 236, 404, 572)(69, 237, 405, 573)(70, 238, 406, 574)(71, 239, 407, 575)(72, 240, 408, 576)(73, 241, 409, 577)(74, 242, 410, 578)(75, 243, 411, 579)(76, 244, 412, 580)(77, 245, 413, 581)(78, 246, 414, 582)(79, 247, 415, 583)(80, 248, 416, 584)(81, 249, 417, 585)(82, 250, 418, 586)(83, 251, 419, 587)(84, 252, 420, 588)(85, 253, 421, 589)(86, 254, 422, 590)(87, 255, 423, 591)(88, 256, 424, 592)(89, 257, 425, 593)(90, 258, 426, 594)(91, 259, 427, 595)(92, 260, 428, 596)(93, 261, 429, 597)(94, 262, 430, 598)(95, 263, 431, 599)(96, 264, 432, 600)(97, 265, 433, 601)(98, 266, 434, 602)(99, 267, 435, 603)(100, 268, 436, 604)(101, 269, 437, 605)(102, 270, 438, 606)(103, 271, 439, 607)(104, 272, 440, 608)(105, 273, 441, 609)(106, 274, 442, 610)(107, 275, 443, 611)(108, 276, 444, 612)(109, 277, 445, 613)(110, 278, 446, 614)(111, 279, 447, 615)(112, 280, 448, 616)(113, 281, 449, 617)(114, 282, 450, 618)(115, 283, 451, 619)(116, 284, 452, 620)(117, 285, 453, 621)(118, 286, 454, 622)(119, 287, 455, 623)(120, 288, 456, 624)(121, 289, 457, 625)(122, 290, 458, 626)(123, 291, 459, 627)(124, 292, 460, 628)(125, 293, 461, 629)(126, 294, 462, 630)(127, 295, 463, 631)(128, 296, 464, 632)(129, 297, 465, 633)(130, 298, 466, 634)(131, 299, 467, 635)(132, 300, 468, 636)(133, 301, 469, 637)(134, 302, 470, 638)(135, 303, 471, 639)(136, 304, 472, 640)(137, 305, 473, 641)(138, 306, 474, 642)(139, 307, 475, 643)(140, 308, 476, 644)(141, 309, 477, 645)(142, 310, 478, 646)(143, 311, 479, 647)(144, 312, 480, 648)(145, 313, 481, 649)(146, 314, 482, 650)(147, 315, 483, 651)(148, 316, 484, 652)(149, 317, 485, 653)(150, 318, 486, 654)(151, 319, 487, 655)(152, 320, 488, 656)(153, 321, 489, 657)(154, 322, 490, 658)(155, 323, 491, 659)(156, 324, 492, 660)(157, 325, 493, 661)(158, 326, 494, 662)(159, 327, 495, 663)(160, 328, 496, 664)(161, 329, 497, 665)(162, 330, 498, 666)(163, 331, 499, 667)(164, 332, 500, 668)(165, 333, 501, 669)(166, 334, 502, 670)(167, 335, 503, 671)(168, 336, 504, 672)
	L = (1, 170)(2, 172)(3, 176)(4, 169)(5, 180)(6, 182)(7, 184)(8, 177)(9, 171)(10, 190)(11, 192)(12, 181)(13, 173)(14, 183)(15, 174)(16, 185)(17, 175)(18, 206)(19, 208)(20, 210)(21, 212)(22, 191)(23, 178)(24, 193)(25, 179)(26, 222)(27, 224)(28, 226)(29, 228)(30, 230)(31, 232)(32, 234)(33, 236)(34, 238)(35, 240)(36, 242)(37, 244)(38, 207)(39, 186)(40, 209)(41, 187)(42, 211)(43, 188)(44, 213)(45, 189)(46, 259)(47, 261)(48, 250)(49, 264)(50, 266)(51, 255)(52, 269)(53, 271)(54, 223)(55, 194)(56, 225)(57, 195)(58, 227)(59, 196)(60, 229)(61, 197)(62, 231)(63, 198)(64, 233)(65, 199)(66, 235)(67, 200)(68, 237)(69, 201)(70, 239)(71, 202)(72, 241)(73, 203)(74, 243)(75, 204)(76, 245)(77, 205)(78, 290)(79, 278)(80, 303)(81, 274)(82, 263)(83, 292)(84, 282)(85, 293)(86, 276)(87, 268)(88, 309)(89, 280)(90, 312)(91, 260)(92, 214)(93, 262)(94, 215)(95, 216)(96, 265)(97, 217)(98, 267)(99, 218)(100, 219)(101, 270)(102, 220)(103, 272)(104, 221)(105, 323)(106, 305)(107, 285)(108, 295)(109, 325)(110, 302)(111, 326)(112, 311)(113, 327)(114, 307)(115, 297)(116, 316)(117, 296)(118, 330)(119, 281)(120, 299)(121, 318)(122, 301)(123, 298)(124, 306)(125, 308)(126, 314)(127, 254)(128, 275)(129, 328)(130, 334)(131, 332)(132, 320)(133, 246)(134, 247)(135, 304)(136, 248)(137, 249)(138, 251)(139, 252)(140, 253)(141, 310)(142, 256)(143, 257)(144, 313)(145, 258)(146, 319)(147, 321)(148, 329)(149, 277)(150, 333)(151, 294)(152, 335)(153, 336)(154, 279)(155, 324)(156, 273)(157, 317)(158, 322)(159, 287)(160, 283)(161, 284)(162, 331)(163, 286)(164, 288)(165, 289)(166, 291)(167, 300)(168, 315)(337, 507)(338, 510)(339, 509)(340, 514)(341, 505)(342, 511)(343, 506)(344, 522)(345, 524)(346, 515)(347, 508)(348, 530)(349, 532)(350, 534)(351, 536)(352, 538)(353, 540)(354, 523)(355, 512)(356, 525)(357, 513)(358, 550)(359, 552)(360, 554)(361, 556)(362, 531)(363, 516)(364, 533)(365, 517)(366, 535)(367, 518)(368, 537)(369, 519)(370, 539)(371, 520)(372, 541)(373, 521)(374, 582)(375, 574)(376, 585)(377, 587)(378, 568)(379, 590)(380, 592)(381, 580)(382, 551)(383, 526)(384, 553)(385, 527)(386, 555)(387, 528)(388, 557)(389, 529)(390, 609)(391, 610)(392, 571)(393, 613)(394, 614)(395, 577)(396, 617)(397, 618)(398, 620)(399, 602)(400, 589)(401, 623)(402, 597)(403, 612)(404, 626)(405, 607)(406, 584)(407, 629)(408, 599)(409, 616)(410, 632)(411, 604)(412, 594)(413, 635)(414, 583)(415, 542)(416, 543)(417, 586)(418, 544)(419, 588)(420, 545)(421, 546)(422, 591)(423, 547)(424, 593)(425, 548)(426, 549)(427, 646)(428, 558)(429, 625)(430, 649)(431, 631)(432, 652)(433, 564)(434, 622)(435, 654)(436, 634)(437, 655)(438, 561)(439, 628)(440, 657)(441, 596)(442, 611)(443, 559)(444, 560)(445, 606)(446, 615)(447, 562)(448, 563)(449, 601)(450, 619)(451, 565)(452, 621)(453, 566)(454, 567)(455, 624)(456, 569)(457, 570)(458, 627)(459, 572)(460, 573)(461, 630)(462, 575)(463, 576)(464, 633)(465, 578)(466, 579)(467, 636)(468, 581)(469, 645)(470, 603)(471, 659)(472, 648)(473, 662)(474, 647)(475, 669)(476, 664)(477, 665)(478, 650)(479, 667)(480, 661)(481, 651)(482, 595)(483, 598)(484, 653)(485, 600)(486, 638)(487, 656)(488, 605)(489, 658)(490, 608)(491, 666)(492, 663)(493, 640)(494, 668)(495, 670)(496, 672)(497, 637)(498, 639)(499, 642)(500, 641)(501, 671)(502, 660)(503, 643)(504, 644)
	local type(s) :: { ( 3, 56, 3, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.1397
Transitivity :: VT+
Graph:: simple
	v = 168 e = 336 f = 118
	degree seq :: [ 4^168 ]

E26.1401 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 28})
Quotient :: regular
Aut^+ = (C6 x D14) : C2 (small group id <168, 16>)
Aut   = S3 x D56 (small group id <336, 149>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T1 * T2)^6, T1^28 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 61, 73, 85, 97, 109, 121, 133, 145, 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, 156, 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, 157, 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, 158, 165, 161, 152, 140, 128, 116, 104, 92, 80, 68, 56, 40, 27)(23, 36, 24, 38, 50, 65, 76, 89, 100, 113, 124, 137, 148, 159, 164, 163, 155, 143, 131, 119, 107, 95, 83, 71, 59, 45, 30, 37)(41, 53, 42, 57, 69, 81, 93, 105, 117, 129, 141, 153, 162, 167, 168, 166, 160, 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, 156)(147, 158)(149, 160)(151, 161)(152, 162)(157, 164)(159, 166)(163, 167)(165, 168)
	local type(s) :: { ( 6^28 ) }
Outer automorphisms :: reflexible
Dual of E26.1402
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 6 e = 84 f = 28
	degree seq :: [ 28^6 ]

E26.1402 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 28})
Quotient :: regular
Aut^+ = (C6 x D14) : C2 (small group id <168, 16>)
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^-1)^2, T1^6, (T1 * T2)^28 ]
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, 83, 56, 79, 57, 78)(58, 103, 67, 119, 62, 106)(59, 107, 61, 112, 68, 110)(60, 111, 69, 133, 72, 114)(63, 120, 76, 129, 66, 122)(64, 123, 65, 104, 77, 117)(70, 115, 71, 108, 75, 131)(73, 99, 84, 101, 74, 97)(80, 126, 81, 124, 82, 145)(85, 137, 86, 135, 87, 142)(88, 151, 89, 149, 90, 153)(91, 159, 92, 157, 93, 161)(94, 165, 95, 163, 96, 167)(98, 166, 100, 164, 102, 168)(105, 109, 118, 132, 130, 116)(113, 125, 139, 146, 134, 127)(121, 136, 128, 143, 144, 138)(140, 150, 141, 154, 156, 152)(147, 158, 148, 162, 155, 160)
	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, 97)(53, 99)(54, 101)(58, 104)(59, 108)(60, 112)(61, 115)(62, 117)(63, 103)(64, 124)(65, 126)(66, 119)(67, 123)(68, 131)(69, 107)(70, 135)(71, 137)(72, 110)(73, 111)(74, 133)(75, 142)(76, 106)(77, 145)(78, 120)(79, 129)(80, 149)(81, 151)(82, 153)(83, 122)(84, 114)(85, 157)(86, 159)(87, 161)(88, 163)(89, 165)(90, 167)(91, 164)(92, 166)(93, 168)(94, 158)(95, 160)(96, 162)(98, 154)(100, 150)(102, 152)(105, 113)(109, 121)(116, 128)(118, 134)(125, 140)(127, 141)(130, 139)(132, 144)(136, 147)(138, 148)(143, 155)(146, 156)
	local type(s) :: { ( 28^6 ) }
Outer automorphisms :: reflexible
Dual of E26.1401
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 28 e = 84 f = 6
	degree seq :: [ 6^28 ]

E26.1403 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 28})
Quotient :: edge
Aut^+ = (C6 x D14) : C2 (small group id <168, 16>)
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^-1)^2, T2^6, (T2 * T1)^28 ]
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, 165, 112, 154)(98, 158, 102, 162, 118, 157)(106, 159, 110, 167, 125, 163)(114, 168, 116, 166, 119, 156)(121, 164, 123, 161, 126, 153)(128, 147, 130, 149, 132, 150)(134, 140, 136, 142, 138, 144)(169, 170)(171, 175)(172, 177)(173, 179)(174, 181)(176, 182)(178, 180)(183, 191)(184, 192)(185, 193)(186, 194)(187, 195)(188, 196)(189, 197)(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, 226)(224, 231)(225, 229)(227, 253)(228, 259)(230, 269)(232, 262)(233, 255)(234, 277)(235, 257)(236, 265)(237, 271)(238, 261)(239, 267)(240, 273)(241, 279)(242, 264)(243, 275)(244, 281)(245, 285)(246, 283)(247, 288)(248, 292)(249, 290)(250, 295)(251, 299)(252, 297)(254, 301)(256, 305)(258, 303)(260, 307)(263, 314)(266, 320)(268, 309)(270, 319)(272, 311)(274, 323)(276, 313)(278, 322)(280, 316)(282, 326)(284, 325)(286, 328)(287, 330)(289, 327)(291, 331)(293, 333)(294, 335)(296, 336)(298, 324)(300, 334)(302, 332)(304, 321)(306, 329)(308, 315)(310, 318)(312, 317)
	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) :: { ( 56, 56 ), ( 56^6 ) }
Outer automorphisms :: reflexible
Dual of E26.1407
Transitivity :: ET+
Graph:: simple bipartite
	v = 112 e = 168 f = 6
	degree seq :: [ 2^84, 6^28 ]

E26.1404 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 28})
Quotient :: edge
Aut^+ = (C6 x D14) : C2 (small group id <168, 16>)
Aut   = S3 x D56 (small group id <336, 149>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^2, (T2^-1 * T1^-1)^2, T1^6, T2^28 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 21, 33, 45, 57, 69, 81, 93, 105, 117, 129, 141, 153, 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, 160, 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, 162, 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, 158, 166, 159, 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, 161, 167, 163, 154, 142, 130, 118, 106, 94, 82, 70, 58, 46, 34, 22)(14, 25, 37, 49, 61, 73, 85, 97, 109, 121, 133, 145, 156, 164, 168, 165, 157, 146, 134, 122, 110, 98, 86, 74, 62, 50, 38, 26)(169, 170, 174, 182, 180, 172)(171, 177, 187, 194, 183, 176)(173, 179, 190, 193, 184, 175)(178, 186, 195, 206, 199, 188)(181, 185, 196, 205, 202, 191)(189, 200, 211, 218, 207, 198)(192, 203, 214, 217, 208, 197)(201, 210, 219, 230, 223, 212)(204, 209, 220, 229, 226, 215)(213, 224, 235, 242, 231, 222)(216, 227, 238, 241, 232, 221)(225, 234, 243, 254, 247, 236)(228, 233, 244, 253, 250, 239)(237, 248, 259, 266, 255, 246)(240, 251, 262, 265, 256, 245)(249, 258, 267, 278, 271, 260)(252, 257, 268, 277, 274, 263)(261, 272, 283, 290, 279, 270)(264, 275, 286, 289, 280, 269)(273, 282, 291, 302, 295, 284)(276, 281, 292, 301, 298, 287)(285, 296, 307, 314, 303, 294)(288, 299, 310, 313, 304, 293)(297, 306, 315, 325, 319, 308)(300, 305, 316, 324, 322, 311)(309, 320, 329, 333, 326, 318)(312, 323, 331, 332, 327, 317)(321, 328, 334, 336, 335, 330)
	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 ), ( 4^28 ) }
Outer automorphisms :: reflexible
Dual of E26.1408
Transitivity :: ET+
Graph:: simple bipartite
	v = 34 e = 168 f = 84
	degree seq :: [ 6^28, 28^6 ]

E26.1405 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 28})
Quotient :: edge
Aut^+ = (C6 x D14) : C2 (small group id <168, 16>)
Aut   = S3 x D56 (small group id <336, 149>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^6, T1^28 ]
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, 156)(147, 158)(149, 160)(151, 161)(152, 162)(157, 164)(159, 166)(163, 167)(165, 168)(169, 170, 173, 179, 188, 200, 215, 229, 241, 253, 265, 277, 289, 301, 313, 312, 300, 288, 276, 264, 252, 240, 228, 214, 199, 187, 178, 172)(171, 175, 183, 193, 207, 223, 235, 247, 259, 271, 283, 295, 307, 319, 324, 315, 302, 291, 278, 267, 254, 243, 230, 217, 201, 190, 180, 176)(174, 181, 177, 186, 197, 212, 226, 238, 250, 262, 274, 286, 298, 310, 322, 325, 314, 303, 290, 279, 266, 255, 242, 231, 216, 202, 189, 182)(184, 194, 185, 196, 203, 219, 232, 245, 256, 269, 280, 293, 304, 317, 326, 333, 329, 320, 308, 296, 284, 272, 260, 248, 236, 224, 208, 195)(191, 204, 192, 206, 218, 233, 244, 257, 268, 281, 292, 305, 316, 327, 332, 331, 323, 311, 299, 287, 275, 263, 251, 239, 227, 213, 198, 205)(209, 221, 210, 225, 237, 249, 261, 273, 285, 297, 309, 321, 330, 335, 336, 334, 328, 318, 306, 294, 282, 270, 258, 246, 234, 222, 211, 220)
	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 ), ( 12^28 ) }
Outer automorphisms :: reflexible
Dual of E26.1406
Transitivity :: ET+
Graph:: simple bipartite
	v = 90 e = 168 f = 28
	degree seq :: [ 2^84, 28^6 ]

E26.1406 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 28})
Quotient :: loop
Aut^+ = (C6 x D14) : C2 (small group id <168, 16>)
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^-1)^2, T2^6, (T2 * T1)^28 ]
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, 9, 177, 18, 186, 25, 193, 16, 184)(11, 179, 19, 187, 13, 181, 22, 190, 29, 197, 20, 188)(23, 191, 31, 199, 24, 192, 33, 201, 26, 194, 32, 200)(27, 195, 34, 202, 28, 196, 36, 204, 30, 198, 35, 203)(37, 205, 43, 211, 38, 206, 45, 213, 39, 207, 44, 212)(40, 208, 46, 214, 41, 209, 48, 216, 42, 210, 47, 215)(49, 217, 55, 223, 50, 218, 57, 225, 51, 219, 56, 224)(52, 220, 97, 265, 53, 221, 99, 267, 54, 222, 101, 269)(58, 226, 104, 272, 67, 235, 127, 295, 65, 233, 106, 274)(59, 227, 108, 276, 71, 239, 135, 303, 69, 237, 110, 278)(60, 228, 107, 275, 61, 229, 115, 283, 74, 242, 113, 281)(62, 230, 103, 271, 63, 231, 121, 289, 78, 246, 119, 287)(64, 232, 123, 291, 82, 250, 129, 297, 66, 234, 125, 293)(68, 236, 131, 299, 86, 254, 137, 305, 70, 238, 133, 301)(72, 240, 111, 279, 73, 241, 140, 308, 75, 243, 114, 282)(76, 244, 117, 285, 77, 245, 145, 313, 79, 247, 120, 288)(80, 248, 149, 317, 83, 251, 153, 321, 81, 249, 151, 319)(84, 252, 156, 324, 87, 255, 160, 328, 85, 253, 158, 326)(88, 256, 163, 331, 90, 258, 167, 335, 89, 257, 165, 333)(91, 259, 164, 332, 93, 261, 166, 334, 92, 260, 168, 336)(94, 262, 162, 330, 96, 264, 157, 325, 95, 263, 159, 327)(98, 266, 155, 323, 102, 270, 150, 318, 100, 268, 152, 320)(105, 273, 112, 280, 126, 294, 142, 310, 130, 298, 116, 284)(109, 277, 118, 286, 134, 302, 147, 315, 138, 306, 122, 290)(124, 292, 139, 307, 128, 296, 143, 311, 154, 322, 141, 309)(132, 300, 144, 312, 136, 304, 148, 316, 161, 329, 146, 314)
	L = (1, 170)(2, 169)(3, 175)(4, 177)(5, 179)(6, 181)(7, 171)(8, 182)(9, 172)(10, 180)(11, 173)(12, 178)(13, 174)(14, 176)(15, 191)(16, 192)(17, 193)(18, 194)(19, 195)(20, 196)(21, 197)(22, 198)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(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, 245)(56, 247)(57, 244)(58, 271)(59, 275)(60, 279)(61, 282)(62, 285)(63, 288)(64, 274)(65, 289)(66, 272)(67, 287)(68, 278)(69, 283)(70, 276)(71, 281)(72, 267)(73, 265)(74, 308)(75, 269)(76, 225)(77, 223)(78, 313)(79, 224)(80, 293)(81, 291)(82, 295)(83, 297)(84, 301)(85, 299)(86, 303)(87, 305)(88, 319)(89, 317)(90, 321)(91, 326)(92, 324)(93, 328)(94, 333)(95, 331)(96, 335)(97, 241)(98, 336)(99, 240)(100, 332)(101, 243)(102, 334)(103, 226)(104, 234)(105, 277)(106, 232)(107, 227)(108, 238)(109, 273)(110, 236)(111, 228)(112, 292)(113, 239)(114, 229)(115, 237)(116, 296)(117, 230)(118, 300)(119, 235)(120, 231)(121, 233)(122, 304)(123, 249)(124, 280)(125, 248)(126, 306)(127, 250)(128, 284)(129, 251)(130, 302)(131, 253)(132, 286)(133, 252)(134, 298)(135, 254)(136, 290)(137, 255)(138, 294)(139, 318)(140, 242)(141, 320)(142, 322)(143, 323)(144, 325)(145, 246)(146, 327)(147, 329)(148, 330)(149, 257)(150, 307)(151, 256)(152, 309)(153, 258)(154, 310)(155, 311)(156, 260)(157, 312)(158, 259)(159, 314)(160, 261)(161, 315)(162, 316)(163, 263)(164, 268)(165, 262)(166, 270)(167, 264)(168, 266)
	local type(s) :: { ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28 ) }
Outer automorphisms :: reflexible
Dual of E26.1405
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 28 e = 168 f = 90
	degree seq :: [ 12^28 ]

E26.1407 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 28})
Quotient :: loop
Aut^+ = (C6 x D14) : C2 (small group id <168, 16>)
Aut   = S3 x D56 (small group id <336, 149>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^2, (T2^-1 * T1^-1)^2, T1^6, T2^28 ]
Map::
	R = (1, 169, 3, 171, 10, 178, 21, 189, 33, 201, 45, 213, 57, 225, 69, 237, 81, 249, 93, 261, 105, 273, 117, 285, 129, 297, 141, 309, 153, 321, 144, 312, 132, 300, 120, 288, 108, 276, 96, 264, 84, 252, 72, 240, 60, 228, 48, 216, 36, 204, 24, 192, 13, 181, 5, 173)(2, 170, 7, 175, 17, 185, 29, 197, 41, 209, 53, 221, 65, 233, 77, 245, 89, 257, 101, 269, 113, 281, 125, 293, 137, 305, 149, 317, 160, 328, 150, 318, 138, 306, 126, 294, 114, 282, 102, 270, 90, 258, 78, 246, 66, 234, 54, 222, 42, 210, 30, 198, 18, 186, 8, 176)(4, 172, 11, 179, 23, 191, 35, 203, 47, 215, 59, 227, 71, 239, 83, 251, 95, 263, 107, 275, 119, 287, 131, 299, 143, 311, 155, 323, 162, 330, 152, 320, 140, 308, 128, 296, 116, 284, 104, 272, 92, 260, 80, 248, 68, 236, 56, 224, 44, 212, 32, 200, 20, 188, 9, 177)(6, 174, 15, 183, 27, 195, 39, 207, 51, 219, 63, 231, 75, 243, 87, 255, 99, 267, 111, 279, 123, 291, 135, 303, 147, 315, 158, 326, 166, 334, 159, 327, 148, 316, 136, 304, 124, 292, 112, 280, 100, 268, 88, 256, 76, 244, 64, 232, 52, 220, 40, 208, 28, 196, 16, 184)(12, 180, 19, 187, 31, 199, 43, 211, 55, 223, 67, 235, 79, 247, 91, 259, 103, 271, 115, 283, 127, 295, 139, 307, 151, 319, 161, 329, 167, 335, 163, 331, 154, 322, 142, 310, 130, 298, 118, 286, 106, 274, 94, 262, 82, 250, 70, 238, 58, 226, 46, 214, 34, 202, 22, 190)(14, 182, 25, 193, 37, 205, 49, 217, 61, 229, 73, 241, 85, 253, 97, 265, 109, 277, 121, 289, 133, 301, 145, 313, 156, 324, 164, 332, 168, 336, 165, 333, 157, 325, 146, 314, 134, 302, 122, 290, 110, 278, 98, 266, 86, 254, 74, 242, 62, 230, 50, 218, 38, 206, 26, 194)
	L = (1, 170)(2, 174)(3, 177)(4, 169)(5, 179)(6, 182)(7, 173)(8, 171)(9, 187)(10, 186)(11, 190)(12, 172)(13, 185)(14, 180)(15, 176)(16, 175)(17, 196)(18, 195)(19, 194)(20, 178)(21, 200)(22, 193)(23, 181)(24, 203)(25, 184)(26, 183)(27, 206)(28, 205)(29, 192)(30, 189)(31, 188)(32, 211)(33, 210)(34, 191)(35, 214)(36, 209)(37, 202)(38, 199)(39, 198)(40, 197)(41, 220)(42, 219)(43, 218)(44, 201)(45, 224)(46, 217)(47, 204)(48, 227)(49, 208)(50, 207)(51, 230)(52, 229)(53, 216)(54, 213)(55, 212)(56, 235)(57, 234)(58, 215)(59, 238)(60, 233)(61, 226)(62, 223)(63, 222)(64, 221)(65, 244)(66, 243)(67, 242)(68, 225)(69, 248)(70, 241)(71, 228)(72, 251)(73, 232)(74, 231)(75, 254)(76, 253)(77, 240)(78, 237)(79, 236)(80, 259)(81, 258)(82, 239)(83, 262)(84, 257)(85, 250)(86, 247)(87, 246)(88, 245)(89, 268)(90, 267)(91, 266)(92, 249)(93, 272)(94, 265)(95, 252)(96, 275)(97, 256)(98, 255)(99, 278)(100, 277)(101, 264)(102, 261)(103, 260)(104, 283)(105, 282)(106, 263)(107, 286)(108, 281)(109, 274)(110, 271)(111, 270)(112, 269)(113, 292)(114, 291)(115, 290)(116, 273)(117, 296)(118, 289)(119, 276)(120, 299)(121, 280)(122, 279)(123, 302)(124, 301)(125, 288)(126, 285)(127, 284)(128, 307)(129, 306)(130, 287)(131, 310)(132, 305)(133, 298)(134, 295)(135, 294)(136, 293)(137, 316)(138, 315)(139, 314)(140, 297)(141, 320)(142, 313)(143, 300)(144, 323)(145, 304)(146, 303)(147, 325)(148, 324)(149, 312)(150, 309)(151, 308)(152, 329)(153, 328)(154, 311)(155, 331)(156, 322)(157, 319)(158, 318)(159, 317)(160, 334)(161, 333)(162, 321)(163, 332)(164, 327)(165, 326)(166, 336)(167, 330)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.1403
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 168 f = 112
	degree seq :: [ 56^6 ]

E26.1408 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 28})
Quotient :: loop
Aut^+ = (C6 x D14) : C2 (small group id <168, 16>)
Aut   = S3 x D56 (small group id <336, 149>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^6, T1^28 ]
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, 15, 183)(11, 179, 21, 189)(13, 181, 23, 191)(14, 182, 24, 192)(18, 186, 30, 198)(19, 187, 29, 197)(20, 188, 33, 201)(22, 190, 35, 203)(25, 193, 40, 208)(26, 194, 41, 209)(27, 195, 42, 210)(28, 196, 43, 211)(31, 199, 39, 207)(32, 200, 48, 216)(34, 202, 50, 218)(36, 204, 52, 220)(37, 205, 53, 221)(38, 206, 54, 222)(44, 212, 59, 227)(45, 213, 57, 225)(46, 214, 58, 226)(47, 215, 62, 230)(49, 217, 64, 232)(51, 219, 66, 234)(55, 223, 68, 236)(56, 224, 69, 237)(60, 228, 67, 235)(61, 229, 74, 242)(63, 231, 76, 244)(65, 233, 78, 246)(70, 238, 83, 251)(71, 239, 81, 249)(72, 240, 82, 250)(73, 241, 86, 254)(75, 243, 88, 256)(77, 245, 90, 258)(79, 247, 92, 260)(80, 248, 93, 261)(84, 252, 91, 259)(85, 253, 98, 266)(87, 255, 100, 268)(89, 257, 102, 270)(94, 262, 107, 275)(95, 263, 105, 273)(96, 264, 106, 274)(97, 265, 110, 278)(99, 267, 112, 280)(101, 269, 114, 282)(103, 271, 116, 284)(104, 272, 117, 285)(108, 276, 115, 283)(109, 277, 122, 290)(111, 279, 124, 292)(113, 281, 126, 294)(118, 286, 131, 299)(119, 287, 129, 297)(120, 288, 130, 298)(121, 289, 134, 302)(123, 291, 136, 304)(125, 293, 138, 306)(127, 295, 140, 308)(128, 296, 141, 309)(132, 300, 139, 307)(133, 301, 146, 314)(135, 303, 148, 316)(137, 305, 150, 318)(142, 310, 155, 323)(143, 311, 153, 321)(144, 312, 154, 322)(145, 313, 156, 324)(147, 315, 158, 326)(149, 317, 160, 328)(151, 319, 161, 329)(152, 320, 162, 330)(157, 325, 164, 332)(159, 327, 166, 334)(163, 331, 167, 335)(165, 333, 168, 336)
	L = (1, 170)(2, 173)(3, 175)(4, 169)(5, 179)(6, 181)(7, 183)(8, 171)(9, 186)(10, 172)(11, 188)(12, 176)(13, 177)(14, 174)(15, 193)(16, 194)(17, 196)(18, 197)(19, 178)(20, 200)(21, 182)(22, 180)(23, 204)(24, 206)(25, 207)(26, 185)(27, 184)(28, 203)(29, 212)(30, 205)(31, 187)(32, 215)(33, 190)(34, 189)(35, 219)(36, 192)(37, 191)(38, 218)(39, 223)(40, 195)(41, 221)(42, 225)(43, 220)(44, 226)(45, 198)(46, 199)(47, 229)(48, 202)(49, 201)(50, 233)(51, 232)(52, 209)(53, 210)(54, 211)(55, 235)(56, 208)(57, 237)(58, 238)(59, 213)(60, 214)(61, 241)(62, 217)(63, 216)(64, 245)(65, 244)(66, 222)(67, 247)(68, 224)(69, 249)(70, 250)(71, 227)(72, 228)(73, 253)(74, 231)(75, 230)(76, 257)(77, 256)(78, 234)(79, 259)(80, 236)(81, 261)(82, 262)(83, 239)(84, 240)(85, 265)(86, 243)(87, 242)(88, 269)(89, 268)(90, 246)(91, 271)(92, 248)(93, 273)(94, 274)(95, 251)(96, 252)(97, 277)(98, 255)(99, 254)(100, 281)(101, 280)(102, 258)(103, 283)(104, 260)(105, 285)(106, 286)(107, 263)(108, 264)(109, 289)(110, 267)(111, 266)(112, 293)(113, 292)(114, 270)(115, 295)(116, 272)(117, 297)(118, 298)(119, 275)(120, 276)(121, 301)(122, 279)(123, 278)(124, 305)(125, 304)(126, 282)(127, 307)(128, 284)(129, 309)(130, 310)(131, 287)(132, 288)(133, 313)(134, 291)(135, 290)(136, 317)(137, 316)(138, 294)(139, 319)(140, 296)(141, 321)(142, 322)(143, 299)(144, 300)(145, 312)(146, 303)(147, 302)(148, 327)(149, 326)(150, 306)(151, 324)(152, 308)(153, 330)(154, 325)(155, 311)(156, 315)(157, 314)(158, 333)(159, 332)(160, 318)(161, 320)(162, 335)(163, 323)(164, 331)(165, 329)(166, 328)(167, 336)(168, 334)
	local type(s) :: { ( 6, 28, 6, 28 ) }
Outer automorphisms :: reflexible
Dual of E26.1404
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 84 e = 168 f = 34
	degree seq :: [ 4^84 ]

E26.1409 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 28})
Quotient :: dipole
Aut^+ = (C6 x D14) : C2 (small group id <168, 16>)
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^-1 * Y1 * Y2^-1)^2, Y2^6, (Y3 * Y2^-1)^28 ]
Map::
	R = (1, 169, 2, 170)(3, 171, 7, 175)(4, 172, 9, 177)(5, 173, 11, 179)(6, 174, 13, 181)(8, 176, 14, 182)(10, 178, 12, 180)(15, 183, 23, 191)(16, 184, 24, 192)(17, 185, 25, 193)(18, 186, 26, 194)(19, 187, 27, 195)(20, 188, 28, 196)(21, 189, 29, 197)(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, 97, 265)(56, 224, 98, 266)(57, 225, 99, 267)(58, 226, 100, 268)(59, 227, 103, 271)(60, 228, 104, 272)(61, 229, 108, 276)(62, 230, 101, 269)(63, 231, 110, 278)(64, 232, 111, 279)(65, 233, 112, 280)(66, 234, 114, 282)(67, 235, 113, 281)(68, 236, 115, 283)(69, 237, 116, 284)(70, 238, 118, 286)(71, 239, 117, 285)(72, 240, 106, 274)(73, 241, 109, 277)(74, 242, 105, 273)(75, 243, 107, 275)(76, 244, 102, 270)(77, 245, 119, 287)(78, 246, 121, 289)(79, 247, 120, 288)(80, 248, 122, 290)(81, 249, 123, 291)(82, 250, 125, 293)(83, 251, 124, 292)(84, 252, 126, 294)(85, 253, 127, 295)(86, 254, 128, 296)(87, 255, 129, 297)(88, 256, 130, 298)(89, 257, 131, 299)(90, 258, 132, 300)(91, 259, 133, 301)(92, 260, 134, 302)(93, 261, 135, 303)(94, 262, 136, 304)(95, 263, 137, 305)(96, 264, 138, 306)(139, 307, 167, 335)(140, 308, 166, 334)(141, 309, 168, 336)(142, 310, 147, 315)(143, 311, 161, 329)(144, 312, 159, 327)(145, 313, 162, 330)(146, 314, 160, 328)(148, 316, 157, 325)(149, 317, 155, 323)(150, 318, 158, 326)(151, 319, 156, 324)(152, 320, 163, 331)(153, 321, 165, 333)(154, 322, 164, 332)(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, 345, 513, 354, 522, 361, 529, 352, 520)(347, 515, 355, 523, 349, 517, 358, 526, 365, 533, 356, 524)(359, 527, 367, 535, 360, 528, 369, 537, 362, 530, 368, 536)(363, 531, 370, 538, 364, 532, 372, 540, 366, 534, 371, 539)(373, 541, 379, 547, 374, 542, 381, 549, 375, 543, 380, 548)(376, 544, 382, 550, 377, 545, 384, 552, 378, 546, 383, 551)(385, 553, 391, 559, 386, 554, 393, 561, 387, 555, 392, 560)(388, 556, 411, 579, 389, 557, 409, 577, 390, 558, 408, 576)(394, 562, 437, 605, 401, 569, 446, 614, 403, 571, 438, 606)(395, 563, 440, 608, 405, 573, 444, 612, 407, 575, 441, 609)(396, 564, 442, 610, 410, 578, 445, 613, 397, 565, 443, 611)(398, 566, 434, 602, 412, 580, 435, 603, 399, 567, 433, 601)(400, 568, 448, 616, 402, 570, 436, 604, 415, 583, 449, 617)(404, 572, 452, 620, 406, 574, 439, 607, 419, 587, 453, 621)(413, 581, 450, 618, 414, 582, 447, 615, 416, 584, 456, 624)(417, 585, 454, 622, 418, 586, 451, 619, 420, 588, 460, 628)(421, 589, 457, 625, 422, 590, 455, 623, 423, 591, 458, 626)(424, 592, 461, 629, 425, 593, 459, 627, 426, 594, 462, 630)(427, 595, 464, 632, 428, 596, 463, 631, 429, 597, 465, 633)(430, 598, 467, 635, 431, 599, 466, 634, 432, 600, 468, 636)(469, 637, 477, 645, 471, 639, 475, 643, 470, 638, 476, 644)(472, 640, 489, 657, 474, 642, 490, 658, 473, 641, 488, 656)(478, 646, 495, 663, 479, 647, 496, 664, 493, 661, 498, 666)(480, 648, 502, 670, 481, 649, 503, 671, 482, 650, 504, 672)(483, 651, 491, 659, 484, 652, 492, 660, 497, 665, 494, 662)(485, 653, 499, 667, 486, 654, 500, 668, 487, 655, 501, 669)
	L = (1, 338)(2, 337)(3, 343)(4, 345)(5, 347)(6, 349)(7, 339)(8, 350)(9, 340)(10, 348)(11, 341)(12, 346)(13, 342)(14, 344)(15, 359)(16, 360)(17, 361)(18, 362)(19, 363)(20, 364)(21, 365)(22, 366)(23, 351)(24, 352)(25, 353)(26, 354)(27, 355)(28, 356)(29, 357)(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, 433)(56, 434)(57, 435)(58, 436)(59, 439)(60, 440)(61, 444)(62, 437)(63, 446)(64, 447)(65, 448)(66, 450)(67, 449)(68, 451)(69, 452)(70, 454)(71, 453)(72, 442)(73, 445)(74, 441)(75, 443)(76, 438)(77, 455)(78, 457)(79, 456)(80, 458)(81, 459)(82, 461)(83, 460)(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, 391)(98, 392)(99, 393)(100, 394)(101, 398)(102, 412)(103, 395)(104, 396)(105, 410)(106, 408)(107, 411)(108, 397)(109, 409)(110, 399)(111, 400)(112, 401)(113, 403)(114, 402)(115, 404)(116, 405)(117, 407)(118, 406)(119, 413)(120, 415)(121, 414)(122, 416)(123, 417)(124, 419)(125, 418)(126, 420)(127, 421)(128, 422)(129, 423)(130, 424)(131, 425)(132, 426)(133, 427)(134, 428)(135, 429)(136, 430)(137, 431)(138, 432)(139, 503)(140, 502)(141, 504)(142, 483)(143, 497)(144, 495)(145, 498)(146, 496)(147, 478)(148, 493)(149, 491)(150, 494)(151, 492)(152, 499)(153, 501)(154, 500)(155, 485)(156, 487)(157, 484)(158, 486)(159, 480)(160, 482)(161, 479)(162, 481)(163, 488)(164, 490)(165, 489)(166, 476)(167, 475)(168, 477)(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, 56, 2, 56 ), ( 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.1412
Graph:: bipartite
	v = 112 e = 336 f = 174
	degree seq :: [ 4^84, 12^28 ]

E26.1410 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 28})
Quotient :: dipole
Aut^+ = (C6 x D14) : C2 (small group id <168, 16>)
Aut   = S3 x D56 (small group id <336, 149>)
|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, Y2^28 ]
Map::
	R = (1, 169, 2, 170, 6, 174, 14, 182, 12, 180, 4, 172)(3, 171, 9, 177, 19, 187, 26, 194, 15, 183, 8, 176)(5, 173, 11, 179, 22, 190, 25, 193, 16, 184, 7, 175)(10, 178, 18, 186, 27, 195, 38, 206, 31, 199, 20, 188)(13, 181, 17, 185, 28, 196, 37, 205, 34, 202, 23, 191)(21, 189, 32, 200, 43, 211, 50, 218, 39, 207, 30, 198)(24, 192, 35, 203, 46, 214, 49, 217, 40, 208, 29, 197)(33, 201, 42, 210, 51, 219, 62, 230, 55, 223, 44, 212)(36, 204, 41, 209, 52, 220, 61, 229, 58, 226, 47, 215)(45, 213, 56, 224, 67, 235, 74, 242, 63, 231, 54, 222)(48, 216, 59, 227, 70, 238, 73, 241, 64, 232, 53, 221)(57, 225, 66, 234, 75, 243, 86, 254, 79, 247, 68, 236)(60, 228, 65, 233, 76, 244, 85, 253, 82, 250, 71, 239)(69, 237, 80, 248, 91, 259, 98, 266, 87, 255, 78, 246)(72, 240, 83, 251, 94, 262, 97, 265, 88, 256, 77, 245)(81, 249, 90, 258, 99, 267, 110, 278, 103, 271, 92, 260)(84, 252, 89, 257, 100, 268, 109, 277, 106, 274, 95, 263)(93, 261, 104, 272, 115, 283, 122, 290, 111, 279, 102, 270)(96, 264, 107, 275, 118, 286, 121, 289, 112, 280, 101, 269)(105, 273, 114, 282, 123, 291, 134, 302, 127, 295, 116, 284)(108, 276, 113, 281, 124, 292, 133, 301, 130, 298, 119, 287)(117, 285, 128, 296, 139, 307, 146, 314, 135, 303, 126, 294)(120, 288, 131, 299, 142, 310, 145, 313, 136, 304, 125, 293)(129, 297, 138, 306, 147, 315, 157, 325, 151, 319, 140, 308)(132, 300, 137, 305, 148, 316, 156, 324, 154, 322, 143, 311)(141, 309, 152, 320, 161, 329, 165, 333, 158, 326, 150, 318)(144, 312, 155, 323, 163, 331, 164, 332, 159, 327, 149, 317)(153, 321, 160, 328, 166, 334, 168, 336, 167, 335, 162, 330)(337, 505, 339, 507, 346, 514, 357, 525, 369, 537, 381, 549, 393, 561, 405, 573, 417, 585, 429, 597, 441, 609, 453, 621, 465, 633, 477, 645, 489, 657, 480, 648, 468, 636, 456, 624, 444, 612, 432, 600, 420, 588, 408, 576, 396, 564, 384, 552, 372, 540, 360, 528, 349, 517, 341, 509)(338, 506, 343, 511, 353, 521, 365, 533, 377, 545, 389, 557, 401, 569, 413, 581, 425, 593, 437, 605, 449, 617, 461, 629, 473, 641, 485, 653, 496, 664, 486, 654, 474, 642, 462, 630, 450, 618, 438, 606, 426, 594, 414, 582, 402, 570, 390, 558, 378, 546, 366, 534, 354, 522, 344, 512)(340, 508, 347, 515, 359, 527, 371, 539, 383, 551, 395, 563, 407, 575, 419, 587, 431, 599, 443, 611, 455, 623, 467, 635, 479, 647, 491, 659, 498, 666, 488, 656, 476, 644, 464, 632, 452, 620, 440, 608, 428, 596, 416, 584, 404, 572, 392, 560, 380, 548, 368, 536, 356, 524, 345, 513)(342, 510, 351, 519, 363, 531, 375, 543, 387, 555, 399, 567, 411, 579, 423, 591, 435, 603, 447, 615, 459, 627, 471, 639, 483, 651, 494, 662, 502, 670, 495, 663, 484, 652, 472, 640, 460, 628, 448, 616, 436, 604, 424, 592, 412, 580, 400, 568, 388, 556, 376, 544, 364, 532, 352, 520)(348, 516, 355, 523, 367, 535, 379, 547, 391, 559, 403, 571, 415, 583, 427, 595, 439, 607, 451, 619, 463, 631, 475, 643, 487, 655, 497, 665, 503, 671, 499, 667, 490, 658, 478, 646, 466, 634, 454, 622, 442, 610, 430, 598, 418, 586, 406, 574, 394, 562, 382, 550, 370, 538, 358, 526)(350, 518, 361, 529, 373, 541, 385, 553, 397, 565, 409, 577, 421, 589, 433, 601, 445, 613, 457, 625, 469, 637, 481, 649, 492, 660, 500, 668, 504, 672, 501, 669, 493, 661, 482, 650, 470, 638, 458, 626, 446, 614, 434, 602, 422, 590, 410, 578, 398, 566, 386, 554, 374, 542, 362, 530)
	L = (1, 339)(2, 343)(3, 346)(4, 347)(5, 337)(6, 351)(7, 353)(8, 338)(9, 340)(10, 357)(11, 359)(12, 355)(13, 341)(14, 361)(15, 363)(16, 342)(17, 365)(18, 344)(19, 367)(20, 345)(21, 369)(22, 348)(23, 371)(24, 349)(25, 373)(26, 350)(27, 375)(28, 352)(29, 377)(30, 354)(31, 379)(32, 356)(33, 381)(34, 358)(35, 383)(36, 360)(37, 385)(38, 362)(39, 387)(40, 364)(41, 389)(42, 366)(43, 391)(44, 368)(45, 393)(46, 370)(47, 395)(48, 372)(49, 397)(50, 374)(51, 399)(52, 376)(53, 401)(54, 378)(55, 403)(56, 380)(57, 405)(58, 382)(59, 407)(60, 384)(61, 409)(62, 386)(63, 411)(64, 388)(65, 413)(66, 390)(67, 415)(68, 392)(69, 417)(70, 394)(71, 419)(72, 396)(73, 421)(74, 398)(75, 423)(76, 400)(77, 425)(78, 402)(79, 427)(80, 404)(81, 429)(82, 406)(83, 431)(84, 408)(85, 433)(86, 410)(87, 435)(88, 412)(89, 437)(90, 414)(91, 439)(92, 416)(93, 441)(94, 418)(95, 443)(96, 420)(97, 445)(98, 422)(99, 447)(100, 424)(101, 449)(102, 426)(103, 451)(104, 428)(105, 453)(106, 430)(107, 455)(108, 432)(109, 457)(110, 434)(111, 459)(112, 436)(113, 461)(114, 438)(115, 463)(116, 440)(117, 465)(118, 442)(119, 467)(120, 444)(121, 469)(122, 446)(123, 471)(124, 448)(125, 473)(126, 450)(127, 475)(128, 452)(129, 477)(130, 454)(131, 479)(132, 456)(133, 481)(134, 458)(135, 483)(136, 460)(137, 485)(138, 462)(139, 487)(140, 464)(141, 489)(142, 466)(143, 491)(144, 468)(145, 492)(146, 470)(147, 494)(148, 472)(149, 496)(150, 474)(151, 497)(152, 476)(153, 480)(154, 478)(155, 498)(156, 500)(157, 482)(158, 502)(159, 484)(160, 486)(161, 503)(162, 488)(163, 490)(164, 504)(165, 493)(166, 495)(167, 499)(168, 501)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.1411
Graph:: bipartite
	v = 34 e = 336 f = 252
	degree seq :: [ 12^28, 56^6 ]

E26.1411 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 28})
Quotient :: dipole
Aut^+ = (C6 x D14) : C2 (small group id <168, 16>)
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, (Y3^2 * Y2)^2, (Y3^-1 * Y2)^6, Y3^10 * Y2 * Y3^-18 * Y2, (Y3^-1 * Y1^-1)^28 ]
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, 350, 518)(346, 514, 348, 516)(351, 519, 361, 529)(352, 520, 362, 530)(353, 521, 363, 531)(354, 522, 365, 533)(355, 523, 366, 534)(356, 524, 368, 536)(357, 525, 369, 537)(358, 526, 370, 538)(359, 527, 372, 540)(360, 528, 373, 541)(364, 532, 374, 542)(367, 535, 371, 539)(375, 543, 384, 552)(376, 544, 383, 551)(377, 545, 388, 556)(378, 546, 391, 559)(379, 547, 392, 560)(380, 548, 385, 553)(381, 549, 394, 562)(382, 550, 395, 563)(386, 554, 397, 565)(387, 555, 398, 566)(389, 557, 400, 568)(390, 558, 401, 569)(393, 561, 402, 570)(396, 564, 399, 567)(403, 571, 412, 580)(404, 572, 415, 583)(405, 573, 416, 584)(406, 574, 409, 577)(407, 575, 418, 586)(408, 576, 419, 587)(410, 578, 421, 589)(411, 579, 422, 590)(413, 581, 424, 592)(414, 582, 425, 593)(417, 585, 426, 594)(420, 588, 423, 591)(427, 595, 436, 604)(428, 596, 439, 607)(429, 597, 440, 608)(430, 598, 433, 601)(431, 599, 442, 610)(432, 600, 443, 611)(434, 602, 445, 613)(435, 603, 446, 614)(437, 605, 448, 616)(438, 606, 449, 617)(441, 609, 450, 618)(444, 612, 447, 615)(451, 619, 460, 628)(452, 620, 463, 631)(453, 621, 464, 632)(454, 622, 457, 625)(455, 623, 466, 634)(456, 624, 467, 635)(458, 626, 469, 637)(459, 627, 470, 638)(461, 629, 472, 640)(462, 630, 473, 641)(465, 633, 474, 642)(468, 636, 471, 639)(475, 643, 484, 652)(476, 644, 487, 655)(477, 645, 488, 656)(478, 646, 481, 649)(479, 647, 490, 658)(480, 648, 491, 659)(482, 650, 492, 660)(483, 651, 493, 661)(485, 653, 495, 663)(486, 654, 496, 664)(489, 657, 494, 662)(497, 665, 502, 670)(498, 666, 503, 671)(499, 667, 500, 668)(501, 669, 504, 672)
	L = (1, 339)(2, 341)(3, 344)(4, 337)(5, 348)(6, 338)(7, 351)(8, 353)(9, 354)(10, 340)(11, 356)(12, 358)(13, 359)(14, 342)(15, 345)(16, 343)(17, 364)(18, 366)(19, 346)(20, 349)(21, 347)(22, 371)(23, 373)(24, 350)(25, 375)(26, 377)(27, 352)(28, 379)(29, 376)(30, 381)(31, 355)(32, 383)(33, 385)(34, 357)(35, 387)(36, 384)(37, 389)(38, 360)(39, 362)(40, 361)(41, 391)(42, 363)(43, 393)(44, 365)(45, 395)(46, 367)(47, 369)(48, 368)(49, 397)(50, 370)(51, 399)(52, 372)(53, 401)(54, 374)(55, 403)(56, 378)(57, 405)(58, 380)(59, 407)(60, 382)(61, 409)(62, 386)(63, 411)(64, 388)(65, 413)(66, 390)(67, 415)(68, 392)(69, 417)(70, 394)(71, 419)(72, 396)(73, 421)(74, 398)(75, 423)(76, 400)(77, 425)(78, 402)(79, 427)(80, 404)(81, 429)(82, 406)(83, 431)(84, 408)(85, 433)(86, 410)(87, 435)(88, 412)(89, 437)(90, 414)(91, 439)(92, 416)(93, 441)(94, 418)(95, 443)(96, 420)(97, 445)(98, 422)(99, 447)(100, 424)(101, 449)(102, 426)(103, 451)(104, 428)(105, 453)(106, 430)(107, 455)(108, 432)(109, 457)(110, 434)(111, 459)(112, 436)(113, 461)(114, 438)(115, 463)(116, 440)(117, 465)(118, 442)(119, 467)(120, 444)(121, 469)(122, 446)(123, 471)(124, 448)(125, 473)(126, 450)(127, 475)(128, 452)(129, 477)(130, 454)(131, 479)(132, 456)(133, 481)(134, 458)(135, 483)(136, 460)(137, 485)(138, 462)(139, 487)(140, 464)(141, 489)(142, 466)(143, 491)(144, 468)(145, 492)(146, 470)(147, 494)(148, 472)(149, 496)(150, 474)(151, 497)(152, 476)(153, 480)(154, 478)(155, 498)(156, 500)(157, 482)(158, 486)(159, 484)(160, 501)(161, 503)(162, 488)(163, 490)(164, 504)(165, 493)(166, 495)(167, 499)(168, 502)(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, 56 ), ( 12, 56, 12, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.1410
Graph:: simple bipartite
	v = 252 e = 336 f = 34
	degree seq :: [ 2^168, 4^84 ]

E26.1412 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 28})
Quotient :: dipole
Aut^+ = (C6 x D14) : C2 (small group id <168, 16>)
Aut   = S3 x D56 (small group id <336, 149>)
|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, Y1^28 ]
Map:: polytopal
	R = (1, 169, 2, 170, 5, 173, 11, 179, 20, 188, 32, 200, 47, 215, 61, 229, 73, 241, 85, 253, 97, 265, 109, 277, 121, 289, 133, 301, 145, 313, 144, 312, 132, 300, 120, 288, 108, 276, 96, 264, 84, 252, 72, 240, 60, 228, 46, 214, 31, 199, 19, 187, 10, 178, 4, 172)(3, 171, 7, 175, 15, 183, 25, 193, 39, 207, 55, 223, 67, 235, 79, 247, 91, 259, 103, 271, 115, 283, 127, 295, 139, 307, 151, 319, 156, 324, 147, 315, 134, 302, 123, 291, 110, 278, 99, 267, 86, 254, 75, 243, 62, 230, 49, 217, 33, 201, 22, 190, 12, 180, 8, 176)(6, 174, 13, 181, 9, 177, 18, 186, 29, 197, 44, 212, 58, 226, 70, 238, 82, 250, 94, 262, 106, 274, 118, 286, 130, 298, 142, 310, 154, 322, 157, 325, 146, 314, 135, 303, 122, 290, 111, 279, 98, 266, 87, 255, 74, 242, 63, 231, 48, 216, 34, 202, 21, 189, 14, 182)(16, 184, 26, 194, 17, 185, 28, 196, 35, 203, 51, 219, 64, 232, 77, 245, 88, 256, 101, 269, 112, 280, 125, 293, 136, 304, 149, 317, 158, 326, 165, 333, 161, 329, 152, 320, 140, 308, 128, 296, 116, 284, 104, 272, 92, 260, 80, 248, 68, 236, 56, 224, 40, 208, 27, 195)(23, 191, 36, 204, 24, 192, 38, 206, 50, 218, 65, 233, 76, 244, 89, 257, 100, 268, 113, 281, 124, 292, 137, 305, 148, 316, 159, 327, 164, 332, 163, 331, 155, 323, 143, 311, 131, 299, 119, 287, 107, 275, 95, 263, 83, 251, 71, 239, 59, 227, 45, 213, 30, 198, 37, 205)(41, 209, 53, 221, 42, 210, 57, 225, 69, 237, 81, 249, 93, 261, 105, 273, 117, 285, 129, 297, 141, 309, 153, 321, 162, 330, 167, 335, 168, 336, 166, 334, 160, 328, 150, 318, 138, 306, 126, 294, 114, 282, 102, 270, 90, 258, 78, 246, 66, 234, 54, 222, 43, 211, 52, 220)(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, 351)(11, 357)(12, 341)(13, 359)(14, 360)(15, 346)(16, 343)(17, 344)(18, 366)(19, 365)(20, 369)(21, 347)(22, 371)(23, 349)(24, 350)(25, 376)(26, 377)(27, 378)(28, 379)(29, 355)(30, 354)(31, 375)(32, 384)(33, 356)(34, 386)(35, 358)(36, 388)(37, 389)(38, 390)(39, 367)(40, 361)(41, 362)(42, 363)(43, 364)(44, 395)(45, 393)(46, 394)(47, 398)(48, 368)(49, 400)(50, 370)(51, 402)(52, 372)(53, 373)(54, 374)(55, 404)(56, 405)(57, 381)(58, 382)(59, 380)(60, 403)(61, 410)(62, 383)(63, 412)(64, 385)(65, 414)(66, 387)(67, 396)(68, 391)(69, 392)(70, 419)(71, 417)(72, 418)(73, 422)(74, 397)(75, 424)(76, 399)(77, 426)(78, 401)(79, 428)(80, 429)(81, 407)(82, 408)(83, 406)(84, 427)(85, 434)(86, 409)(87, 436)(88, 411)(89, 438)(90, 413)(91, 420)(92, 415)(93, 416)(94, 443)(95, 441)(96, 442)(97, 446)(98, 421)(99, 448)(100, 423)(101, 450)(102, 425)(103, 452)(104, 453)(105, 431)(106, 432)(107, 430)(108, 451)(109, 458)(110, 433)(111, 460)(112, 435)(113, 462)(114, 437)(115, 444)(116, 439)(117, 440)(118, 467)(119, 465)(120, 466)(121, 470)(122, 445)(123, 472)(124, 447)(125, 474)(126, 449)(127, 476)(128, 477)(129, 455)(130, 456)(131, 454)(132, 475)(133, 482)(134, 457)(135, 484)(136, 459)(137, 486)(138, 461)(139, 468)(140, 463)(141, 464)(142, 491)(143, 489)(144, 490)(145, 492)(146, 469)(147, 494)(148, 471)(149, 496)(150, 473)(151, 497)(152, 498)(153, 479)(154, 480)(155, 478)(156, 481)(157, 500)(158, 483)(159, 502)(160, 485)(161, 487)(162, 488)(163, 503)(164, 493)(165, 504)(166, 495)(167, 499)(168, 501)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.1409
Graph:: simple bipartite
	v = 174 e = 336 f = 112
	degree seq :: [ 2^168, 56^6 ]

E26.1413 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 28})
Quotient :: dipole
Aut^+ = (C6 x D14) : C2 (small group id <168, 16>)
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, (Y2^2 * Y1)^2, (Y3 * Y2^-1)^6, Y2^28 ]
Map::
	R = (1, 169, 2, 170)(3, 171, 7, 175)(4, 172, 9, 177)(5, 173, 11, 179)(6, 174, 13, 181)(8, 176, 14, 182)(10, 178, 12, 180)(15, 183, 25, 193)(16, 184, 26, 194)(17, 185, 27, 195)(18, 186, 29, 197)(19, 187, 30, 198)(20, 188, 32, 200)(21, 189, 33, 201)(22, 190, 34, 202)(23, 191, 36, 204)(24, 192, 37, 205)(28, 196, 38, 206)(31, 199, 35, 203)(39, 207, 48, 216)(40, 208, 47, 215)(41, 209, 52, 220)(42, 210, 55, 223)(43, 211, 56, 224)(44, 212, 49, 217)(45, 213, 58, 226)(46, 214, 59, 227)(50, 218, 61, 229)(51, 219, 62, 230)(53, 221, 64, 232)(54, 222, 65, 233)(57, 225, 66, 234)(60, 228, 63, 231)(67, 235, 76, 244)(68, 236, 79, 247)(69, 237, 80, 248)(70, 238, 73, 241)(71, 239, 82, 250)(72, 240, 83, 251)(74, 242, 85, 253)(75, 243, 86, 254)(77, 245, 88, 256)(78, 246, 89, 257)(81, 249, 90, 258)(84, 252, 87, 255)(91, 259, 100, 268)(92, 260, 103, 271)(93, 261, 104, 272)(94, 262, 97, 265)(95, 263, 106, 274)(96, 264, 107, 275)(98, 266, 109, 277)(99, 267, 110, 278)(101, 269, 112, 280)(102, 270, 113, 281)(105, 273, 114, 282)(108, 276, 111, 279)(115, 283, 124, 292)(116, 284, 127, 295)(117, 285, 128, 296)(118, 286, 121, 289)(119, 287, 130, 298)(120, 288, 131, 299)(122, 290, 133, 301)(123, 291, 134, 302)(125, 293, 136, 304)(126, 294, 137, 305)(129, 297, 138, 306)(132, 300, 135, 303)(139, 307, 148, 316)(140, 308, 151, 319)(141, 309, 152, 320)(142, 310, 145, 313)(143, 311, 154, 322)(144, 312, 155, 323)(146, 314, 156, 324)(147, 315, 157, 325)(149, 317, 159, 327)(150, 318, 160, 328)(153, 321, 158, 326)(161, 329, 166, 334)(162, 330, 167, 335)(163, 331, 164, 332)(165, 333, 168, 336)(337, 505, 339, 507, 344, 512, 353, 521, 364, 532, 379, 547, 393, 561, 405, 573, 417, 585, 429, 597, 441, 609, 453, 621, 465, 633, 477, 645, 489, 657, 480, 648, 468, 636, 456, 624, 444, 612, 432, 600, 420, 588, 408, 576, 396, 564, 382, 550, 367, 535, 355, 523, 346, 514, 340, 508)(338, 506, 341, 509, 348, 516, 358, 526, 371, 539, 387, 555, 399, 567, 411, 579, 423, 591, 435, 603, 447, 615, 459, 627, 471, 639, 483, 651, 494, 662, 486, 654, 474, 642, 462, 630, 450, 618, 438, 606, 426, 594, 414, 582, 402, 570, 390, 558, 374, 542, 360, 528, 350, 518, 342, 510)(343, 511, 351, 519, 345, 513, 354, 522, 366, 534, 381, 549, 395, 563, 407, 575, 419, 587, 431, 599, 443, 611, 455, 623, 467, 635, 479, 647, 491, 659, 498, 666, 488, 656, 476, 644, 464, 632, 452, 620, 440, 608, 428, 596, 416, 584, 404, 572, 392, 560, 378, 546, 363, 531, 352, 520)(347, 515, 356, 524, 349, 517, 359, 527, 373, 541, 389, 557, 401, 569, 413, 581, 425, 593, 437, 605, 449, 617, 461, 629, 473, 641, 485, 653, 496, 664, 501, 669, 493, 661, 482, 650, 470, 638, 458, 626, 446, 614, 434, 602, 422, 590, 410, 578, 398, 566, 386, 554, 370, 538, 357, 525)(361, 529, 375, 543, 362, 530, 377, 545, 391, 559, 403, 571, 415, 583, 427, 595, 439, 607, 451, 619, 463, 631, 475, 643, 487, 655, 497, 665, 503, 671, 499, 667, 490, 658, 478, 646, 466, 634, 454, 622, 442, 610, 430, 598, 418, 586, 406, 574, 394, 562, 380, 548, 365, 533, 376, 544)(368, 536, 383, 551, 369, 537, 385, 553, 397, 565, 409, 577, 421, 589, 433, 601, 445, 613, 457, 625, 469, 637, 481, 649, 492, 660, 500, 668, 504, 672, 502, 670, 495, 663, 484, 652, 472, 640, 460, 628, 448, 616, 436, 604, 424, 592, 412, 580, 400, 568, 388, 556, 372, 540, 384, 552)
	L = (1, 338)(2, 337)(3, 343)(4, 345)(5, 347)(6, 349)(7, 339)(8, 350)(9, 340)(10, 348)(11, 341)(12, 346)(13, 342)(14, 344)(15, 361)(16, 362)(17, 363)(18, 365)(19, 366)(20, 368)(21, 369)(22, 370)(23, 372)(24, 373)(25, 351)(26, 352)(27, 353)(28, 374)(29, 354)(30, 355)(31, 371)(32, 356)(33, 357)(34, 358)(35, 367)(36, 359)(37, 360)(38, 364)(39, 384)(40, 383)(41, 388)(42, 391)(43, 392)(44, 385)(45, 394)(46, 395)(47, 376)(48, 375)(49, 380)(50, 397)(51, 398)(52, 377)(53, 400)(54, 401)(55, 378)(56, 379)(57, 402)(58, 381)(59, 382)(60, 399)(61, 386)(62, 387)(63, 396)(64, 389)(65, 390)(66, 393)(67, 412)(68, 415)(69, 416)(70, 409)(71, 418)(72, 419)(73, 406)(74, 421)(75, 422)(76, 403)(77, 424)(78, 425)(79, 404)(80, 405)(81, 426)(82, 407)(83, 408)(84, 423)(85, 410)(86, 411)(87, 420)(88, 413)(89, 414)(90, 417)(91, 436)(92, 439)(93, 440)(94, 433)(95, 442)(96, 443)(97, 430)(98, 445)(99, 446)(100, 427)(101, 448)(102, 449)(103, 428)(104, 429)(105, 450)(106, 431)(107, 432)(108, 447)(109, 434)(110, 435)(111, 444)(112, 437)(113, 438)(114, 441)(115, 460)(116, 463)(117, 464)(118, 457)(119, 466)(120, 467)(121, 454)(122, 469)(123, 470)(124, 451)(125, 472)(126, 473)(127, 452)(128, 453)(129, 474)(130, 455)(131, 456)(132, 471)(133, 458)(134, 459)(135, 468)(136, 461)(137, 462)(138, 465)(139, 484)(140, 487)(141, 488)(142, 481)(143, 490)(144, 491)(145, 478)(146, 492)(147, 493)(148, 475)(149, 495)(150, 496)(151, 476)(152, 477)(153, 494)(154, 479)(155, 480)(156, 482)(157, 483)(158, 489)(159, 485)(160, 486)(161, 502)(162, 503)(163, 500)(164, 499)(165, 504)(166, 497)(167, 498)(168, 501)(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 ) }
Outer automorphisms :: reflexible
Dual of E26.1414
Graph:: bipartite
	v = 90 e = 336 f = 196
	degree seq :: [ 4^84, 56^6 ]

E26.1414 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 28})
Quotient :: dipole
Aut^+ = (C6 x D14) : C2 (small group id <168, 16>)
Aut   = S3 x D56 (small group id <336, 149>)
|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)^28 ]
Map:: polytopal
	R = (1, 169, 2, 170, 6, 174, 14, 182, 12, 180, 4, 172)(3, 171, 9, 177, 19, 187, 26, 194, 15, 183, 8, 176)(5, 173, 11, 179, 22, 190, 25, 193, 16, 184, 7, 175)(10, 178, 18, 186, 27, 195, 38, 206, 31, 199, 20, 188)(13, 181, 17, 185, 28, 196, 37, 205, 34, 202, 23, 191)(21, 189, 32, 200, 43, 211, 50, 218, 39, 207, 30, 198)(24, 192, 35, 203, 46, 214, 49, 217, 40, 208, 29, 197)(33, 201, 42, 210, 51, 219, 62, 230, 55, 223, 44, 212)(36, 204, 41, 209, 52, 220, 61, 229, 58, 226, 47, 215)(45, 213, 56, 224, 67, 235, 74, 242, 63, 231, 54, 222)(48, 216, 59, 227, 70, 238, 73, 241, 64, 232, 53, 221)(57, 225, 66, 234, 75, 243, 86, 254, 79, 247, 68, 236)(60, 228, 65, 233, 76, 244, 85, 253, 82, 250, 71, 239)(69, 237, 80, 248, 91, 259, 98, 266, 87, 255, 78, 246)(72, 240, 83, 251, 94, 262, 97, 265, 88, 256, 77, 245)(81, 249, 90, 258, 99, 267, 110, 278, 103, 271, 92, 260)(84, 252, 89, 257, 100, 268, 109, 277, 106, 274, 95, 263)(93, 261, 104, 272, 115, 283, 122, 290, 111, 279, 102, 270)(96, 264, 107, 275, 118, 286, 121, 289, 112, 280, 101, 269)(105, 273, 114, 282, 123, 291, 134, 302, 127, 295, 116, 284)(108, 276, 113, 281, 124, 292, 133, 301, 130, 298, 119, 287)(117, 285, 128, 296, 139, 307, 146, 314, 135, 303, 126, 294)(120, 288, 131, 299, 142, 310, 145, 313, 136, 304, 125, 293)(129, 297, 138, 306, 147, 315, 157, 325, 151, 319, 140, 308)(132, 300, 137, 305, 148, 316, 156, 324, 154, 322, 143, 311)(141, 309, 152, 320, 161, 329, 165, 333, 158, 326, 150, 318)(144, 312, 155, 323, 163, 331, 164, 332, 159, 327, 149, 317)(153, 321, 160, 328, 166, 334, 168, 336, 167, 335, 162, 330)(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, 347)(5, 337)(6, 351)(7, 353)(8, 338)(9, 340)(10, 357)(11, 359)(12, 355)(13, 341)(14, 361)(15, 363)(16, 342)(17, 365)(18, 344)(19, 367)(20, 345)(21, 369)(22, 348)(23, 371)(24, 349)(25, 373)(26, 350)(27, 375)(28, 352)(29, 377)(30, 354)(31, 379)(32, 356)(33, 381)(34, 358)(35, 383)(36, 360)(37, 385)(38, 362)(39, 387)(40, 364)(41, 389)(42, 366)(43, 391)(44, 368)(45, 393)(46, 370)(47, 395)(48, 372)(49, 397)(50, 374)(51, 399)(52, 376)(53, 401)(54, 378)(55, 403)(56, 380)(57, 405)(58, 382)(59, 407)(60, 384)(61, 409)(62, 386)(63, 411)(64, 388)(65, 413)(66, 390)(67, 415)(68, 392)(69, 417)(70, 394)(71, 419)(72, 396)(73, 421)(74, 398)(75, 423)(76, 400)(77, 425)(78, 402)(79, 427)(80, 404)(81, 429)(82, 406)(83, 431)(84, 408)(85, 433)(86, 410)(87, 435)(88, 412)(89, 437)(90, 414)(91, 439)(92, 416)(93, 441)(94, 418)(95, 443)(96, 420)(97, 445)(98, 422)(99, 447)(100, 424)(101, 449)(102, 426)(103, 451)(104, 428)(105, 453)(106, 430)(107, 455)(108, 432)(109, 457)(110, 434)(111, 459)(112, 436)(113, 461)(114, 438)(115, 463)(116, 440)(117, 465)(118, 442)(119, 467)(120, 444)(121, 469)(122, 446)(123, 471)(124, 448)(125, 473)(126, 450)(127, 475)(128, 452)(129, 477)(130, 454)(131, 479)(132, 456)(133, 481)(134, 458)(135, 483)(136, 460)(137, 485)(138, 462)(139, 487)(140, 464)(141, 489)(142, 466)(143, 491)(144, 468)(145, 492)(146, 470)(147, 494)(148, 472)(149, 496)(150, 474)(151, 497)(152, 476)(153, 480)(154, 478)(155, 498)(156, 500)(157, 482)(158, 502)(159, 484)(160, 486)(161, 503)(162, 488)(163, 490)(164, 504)(165, 493)(166, 495)(167, 499)(168, 501)(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, 56 ), ( 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56 ) }
Outer automorphisms :: reflexible
Dual of E26.1413
Graph:: simple bipartite
	v = 196 e = 336 f = 90
	degree seq :: [ 2^168, 12^28 ]

E26.1415 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (D10 x D10) : C2 (small group id <200, 43>)
Aut   = C2 x ((D10 x D10) : C2) (small group id <400, 211>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1 * Y2)^4, (Y3 * Y1)^4, (Y3 * Y1 * Y2 * Y1)^5, Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 201, 2, 202)(3, 203, 7, 207)(4, 204, 9, 209)(5, 205, 10, 210)(6, 206, 12, 212)(8, 208, 15, 215)(11, 211, 20, 220)(13, 213, 18, 218)(14, 214, 24, 224)(16, 216, 27, 227)(17, 217, 22, 222)(19, 219, 30, 230)(21, 221, 33, 233)(23, 223, 35, 235)(25, 225, 38, 238)(26, 226, 37, 237)(28, 228, 41, 241)(29, 229, 42, 242)(31, 231, 45, 245)(32, 232, 44, 244)(34, 234, 48, 248)(36, 236, 51, 251)(39, 239, 54, 254)(40, 240, 55, 255)(43, 243, 60, 260)(46, 246, 63, 263)(47, 247, 64, 264)(49, 249, 67, 267)(50, 250, 59, 259)(52, 252, 70, 270)(53, 253, 71, 271)(56, 256, 65, 265)(57, 257, 75, 275)(58, 258, 77, 277)(61, 261, 80, 280)(62, 262, 81, 281)(66, 266, 85, 285)(68, 268, 88, 288)(69, 269, 89, 289)(72, 272, 90, 290)(73, 273, 93, 293)(74, 274, 95, 295)(76, 276, 97, 297)(78, 278, 99, 299)(79, 279, 100, 300)(82, 282, 101, 301)(83, 283, 104, 304)(84, 284, 106, 306)(86, 286, 108, 308)(87, 287, 109, 309)(91, 291, 113, 313)(92, 292, 115, 315)(94, 294, 117, 317)(96, 296, 119, 319)(98, 298, 122, 322)(102, 302, 126, 326)(103, 303, 128, 328)(105, 305, 130, 330)(107, 307, 132, 332)(110, 310, 123, 323)(111, 311, 136, 336)(112, 312, 131, 331)(114, 314, 139, 339)(116, 316, 141, 341)(118, 318, 125, 325)(120, 320, 144, 344)(121, 321, 134, 334)(124, 324, 148, 348)(127, 327, 151, 351)(129, 329, 153, 353)(133, 333, 156, 356)(135, 335, 152, 352)(137, 337, 160, 360)(138, 338, 157, 357)(140, 340, 147, 347)(142, 342, 163, 363)(143, 343, 162, 362)(145, 345, 150, 350)(146, 346, 167, 367)(149, 349, 169, 369)(154, 354, 172, 372)(155, 355, 171, 371)(158, 358, 176, 376)(159, 359, 173, 373)(161, 361, 175, 375)(164, 364, 168, 368)(165, 365, 181, 381)(166, 366, 170, 370)(174, 374, 188, 388)(177, 377, 187, 387)(178, 378, 185, 385)(179, 379, 190, 390)(180, 380, 184, 384)(182, 382, 189, 389)(183, 383, 186, 386)(191, 391, 197, 397)(192, 392, 198, 398)(193, 393, 195, 395)(194, 394, 196, 396)(199, 399, 200, 400)(401, 601, 403, 603)(402, 602, 405, 605)(404, 604, 408, 608)(406, 606, 411, 611)(407, 607, 413, 613)(409, 609, 416, 616)(410, 610, 418, 618)(412, 612, 421, 621)(414, 614, 423, 623)(415, 615, 425, 625)(417, 617, 428, 628)(419, 619, 429, 629)(420, 620, 431, 631)(422, 622, 434, 634)(424, 624, 436, 636)(426, 626, 439, 639)(427, 627, 438, 638)(430, 630, 443, 643)(432, 632, 446, 646)(433, 633, 445, 645)(435, 635, 449, 649)(437, 637, 452, 652)(440, 640, 453, 653)(441, 641, 456, 656)(442, 642, 458, 658)(444, 644, 461, 661)(447, 647, 462, 662)(448, 648, 465, 665)(450, 650, 468, 668)(451, 651, 467, 667)(454, 654, 472, 672)(455, 655, 474, 674)(457, 657, 476, 676)(459, 659, 478, 678)(460, 660, 477, 677)(463, 663, 482, 682)(464, 664, 484, 684)(466, 666, 486, 686)(469, 669, 487, 687)(470, 670, 490, 690)(471, 671, 492, 692)(473, 673, 494, 694)(475, 675, 496, 696)(479, 679, 498, 698)(480, 680, 501, 701)(481, 681, 503, 703)(483, 683, 505, 705)(485, 685, 507, 707)(488, 688, 510, 710)(489, 689, 512, 712)(491, 691, 514, 714)(493, 693, 516, 716)(495, 695, 515, 715)(497, 697, 520, 720)(499, 699, 523, 723)(500, 700, 525, 725)(502, 702, 527, 727)(504, 704, 529, 729)(506, 706, 528, 728)(508, 708, 533, 733)(509, 709, 535, 735)(511, 711, 537, 737)(513, 713, 538, 738)(517, 717, 542, 742)(518, 718, 540, 740)(519, 719, 544, 744)(521, 721, 546, 746)(522, 722, 547, 747)(524, 724, 549, 749)(526, 726, 550, 750)(530, 730, 554, 754)(531, 731, 552, 752)(532, 732, 556, 756)(534, 734, 558, 758)(536, 736, 559, 759)(539, 739, 561, 761)(541, 741, 563, 763)(543, 743, 565, 765)(545, 745, 566, 766)(548, 748, 568, 768)(551, 751, 570, 770)(553, 753, 572, 772)(555, 755, 574, 774)(557, 757, 575, 775)(560, 760, 577, 777)(562, 762, 579, 779)(564, 764, 580, 780)(567, 767, 582, 782)(569, 769, 584, 784)(571, 771, 586, 786)(573, 773, 587, 787)(576, 776, 589, 789)(578, 778, 591, 791)(581, 781, 592, 792)(583, 783, 594, 794)(585, 785, 595, 795)(588, 788, 596, 796)(590, 790, 598, 798)(593, 793, 599, 799)(597, 797, 600, 800)
	L = (1, 404)(2, 406)(3, 408)(4, 401)(5, 411)(6, 402)(7, 414)(8, 403)(9, 417)(10, 419)(11, 405)(12, 422)(13, 423)(14, 407)(15, 426)(16, 428)(17, 409)(18, 429)(19, 410)(20, 432)(21, 434)(22, 412)(23, 413)(24, 437)(25, 439)(26, 415)(27, 440)(28, 416)(29, 418)(30, 444)(31, 446)(32, 420)(33, 447)(34, 421)(35, 450)(36, 452)(37, 424)(38, 453)(39, 425)(40, 427)(41, 457)(42, 459)(43, 461)(44, 430)(45, 462)(46, 431)(47, 433)(48, 466)(49, 468)(50, 435)(51, 469)(52, 436)(53, 438)(54, 473)(55, 475)(56, 476)(57, 441)(58, 478)(59, 442)(60, 479)(61, 443)(62, 445)(63, 483)(64, 485)(65, 486)(66, 448)(67, 487)(68, 449)(69, 451)(70, 491)(71, 493)(72, 494)(73, 454)(74, 496)(75, 455)(76, 456)(77, 498)(78, 458)(79, 460)(80, 502)(81, 504)(82, 505)(83, 463)(84, 507)(85, 464)(86, 465)(87, 467)(88, 511)(89, 513)(90, 514)(91, 470)(92, 516)(93, 471)(94, 472)(95, 518)(96, 474)(97, 521)(98, 477)(99, 524)(100, 526)(101, 527)(102, 480)(103, 529)(104, 481)(105, 482)(106, 531)(107, 484)(108, 534)(109, 536)(110, 537)(111, 488)(112, 538)(113, 489)(114, 490)(115, 540)(116, 492)(117, 543)(118, 495)(119, 545)(120, 546)(121, 497)(122, 548)(123, 549)(124, 499)(125, 550)(126, 500)(127, 501)(128, 552)(129, 503)(130, 555)(131, 506)(132, 557)(133, 558)(134, 508)(135, 559)(136, 509)(137, 510)(138, 512)(139, 562)(140, 515)(141, 564)(142, 565)(143, 517)(144, 566)(145, 519)(146, 520)(147, 568)(148, 522)(149, 523)(150, 525)(151, 571)(152, 528)(153, 573)(154, 574)(155, 530)(156, 575)(157, 532)(158, 533)(159, 535)(160, 578)(161, 579)(162, 539)(163, 580)(164, 541)(165, 542)(166, 544)(167, 583)(168, 547)(169, 585)(170, 586)(171, 551)(172, 587)(173, 553)(174, 554)(175, 556)(176, 590)(177, 591)(178, 560)(179, 561)(180, 563)(181, 593)(182, 594)(183, 567)(184, 595)(185, 569)(186, 570)(187, 572)(188, 597)(189, 598)(190, 576)(191, 577)(192, 599)(193, 581)(194, 582)(195, 584)(196, 600)(197, 588)(198, 589)(199, 592)(200, 596)(201, 601)(202, 602)(203, 603)(204, 604)(205, 605)(206, 606)(207, 607)(208, 608)(209, 609)(210, 610)(211, 611)(212, 612)(213, 613)(214, 614)(215, 615)(216, 616)(217, 617)(218, 618)(219, 619)(220, 620)(221, 621)(222, 622)(223, 623)(224, 624)(225, 625)(226, 626)(227, 627)(228, 628)(229, 629)(230, 630)(231, 631)(232, 632)(233, 633)(234, 634)(235, 635)(236, 636)(237, 637)(238, 638)(239, 639)(240, 640)(241, 641)(242, 642)(243, 643)(244, 644)(245, 645)(246, 646)(247, 647)(248, 648)(249, 649)(250, 650)(251, 651)(252, 652)(253, 653)(254, 654)(255, 655)(256, 656)(257, 657)(258, 658)(259, 659)(260, 660)(261, 661)(262, 662)(263, 663)(264, 664)(265, 665)(266, 666)(267, 667)(268, 668)(269, 669)(270, 670)(271, 671)(272, 672)(273, 673)(274, 674)(275, 675)(276, 676)(277, 677)(278, 678)(279, 679)(280, 680)(281, 681)(282, 682)(283, 683)(284, 684)(285, 685)(286, 686)(287, 687)(288, 688)(289, 689)(290, 690)(291, 691)(292, 692)(293, 693)(294, 694)(295, 695)(296, 696)(297, 697)(298, 698)(299, 699)(300, 700)(301, 701)(302, 702)(303, 703)(304, 704)(305, 705)(306, 706)(307, 707)(308, 708)(309, 709)(310, 710)(311, 711)(312, 712)(313, 713)(314, 714)(315, 715)(316, 716)(317, 717)(318, 718)(319, 719)(320, 720)(321, 721)(322, 722)(323, 723)(324, 724)(325, 725)(326, 726)(327, 727)(328, 728)(329, 729)(330, 730)(331, 731)(332, 732)(333, 733)(334, 734)(335, 735)(336, 736)(337, 737)(338, 738)(339, 739)(340, 740)(341, 741)(342, 742)(343, 743)(344, 744)(345, 745)(346, 746)(347, 747)(348, 748)(349, 749)(350, 750)(351, 751)(352, 752)(353, 753)(354, 754)(355, 755)(356, 756)(357, 757)(358, 758)(359, 759)(360, 760)(361, 761)(362, 762)(363, 763)(364, 764)(365, 765)(366, 766)(367, 767)(368, 768)(369, 769)(370, 770)(371, 771)(372, 772)(373, 773)(374, 774)(375, 775)(376, 776)(377, 777)(378, 778)(379, 779)(380, 780)(381, 781)(382, 782)(383, 783)(384, 784)(385, 785)(386, 786)(387, 787)(388, 788)(389, 789)(390, 790)(391, 791)(392, 792)(393, 793)(394, 794)(395, 795)(396, 796)(397, 797)(398, 798)(399, 799)(400, 800)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E26.1420
Graph:: simple bipartite
	v = 200 e = 400 f = 150
	degree seq :: [ 4^200 ]

E26.1416 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (D10 x D10) : C2 (small group id <200, 43>)
Aut   = C2 x ((D10 x D10) : C2) (small group id <400, 211>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y2)^2, (R * Y3)^2, Y3^4, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * R * Y3^-1 * Y2 * R * Y2, Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y2, (Y3^-1 * Y1)^4, Y3^-2 * Y1 * Y3 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-1, Y3^-1 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y3^-1, Y1 * Y3 * Y2 * Y1 * Y3^2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2, Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y2 ]
Map:: polyhedral non-degenerate
	R = (1, 201, 2, 202)(3, 203, 9, 209)(4, 204, 12, 212)(5, 205, 14, 214)(6, 206, 15, 215)(7, 207, 18, 218)(8, 208, 20, 220)(10, 210, 16, 216)(11, 211, 25, 225)(13, 213, 27, 227)(17, 217, 35, 235)(19, 219, 37, 237)(21, 221, 41, 241)(22, 222, 43, 243)(23, 223, 45, 245)(24, 224, 46, 246)(26, 226, 40, 240)(28, 228, 51, 251)(29, 229, 53, 253)(30, 230, 36, 236)(31, 231, 55, 255)(32, 232, 57, 257)(33, 233, 59, 259)(34, 234, 60, 260)(38, 238, 65, 265)(39, 239, 67, 267)(42, 242, 72, 272)(44, 244, 74, 274)(47, 247, 75, 275)(48, 248, 77, 277)(49, 249, 73, 273)(50, 250, 71, 271)(52, 252, 81, 281)(54, 254, 82, 282)(56, 256, 86, 286)(58, 258, 88, 288)(61, 261, 89, 289)(62, 262, 91, 291)(63, 263, 87, 287)(64, 264, 85, 285)(66, 266, 95, 295)(68, 268, 96, 296)(69, 269, 97, 297)(70, 270, 99, 299)(76, 276, 107, 307)(78, 278, 108, 308)(79, 279, 109, 309)(80, 280, 110, 310)(83, 283, 115, 315)(84, 284, 117, 317)(90, 290, 125, 325)(92, 292, 126, 326)(93, 293, 127, 327)(94, 294, 128, 328)(98, 298, 136, 336)(100, 300, 138, 338)(101, 301, 130, 330)(102, 302, 129, 329)(103, 303, 137, 337)(104, 304, 135, 335)(105, 305, 141, 341)(106, 306, 142, 342)(111, 311, 120, 320)(112, 312, 119, 319)(113, 313, 150, 350)(114, 314, 149, 349)(116, 316, 156, 356)(118, 318, 158, 358)(121, 321, 157, 357)(122, 322, 155, 355)(123, 323, 161, 361)(124, 324, 162, 362)(131, 331, 166, 366)(132, 332, 165, 365)(133, 333, 169, 369)(134, 334, 171, 371)(139, 339, 152, 352)(140, 340, 151, 351)(143, 343, 174, 374)(144, 344, 173, 373)(145, 345, 180, 380)(146, 346, 179, 379)(147, 347, 181, 381)(148, 348, 183, 383)(153, 353, 185, 385)(154, 354, 187, 387)(159, 359, 168, 368)(160, 360, 167, 367)(163, 363, 189, 389)(164, 364, 191, 391)(170, 370, 184, 384)(172, 372, 182, 382)(175, 375, 196, 396)(176, 376, 195, 395)(177, 377, 197, 397)(178, 378, 198, 398)(186, 386, 192, 392)(188, 388, 190, 390)(193, 393, 200, 400)(194, 394, 199, 399)(401, 601, 403, 603)(402, 602, 406, 606)(404, 604, 411, 611)(405, 605, 410, 610)(407, 607, 417, 617)(408, 608, 416, 616)(409, 609, 421, 621)(412, 612, 423, 623)(413, 613, 424, 624)(414, 614, 428, 628)(415, 615, 431, 631)(418, 618, 433, 633)(419, 619, 434, 634)(420, 620, 438, 638)(422, 622, 442, 642)(425, 625, 447, 647)(426, 626, 444, 644)(427, 627, 449, 649)(429, 629, 452, 652)(430, 630, 446, 646)(432, 632, 456, 656)(435, 635, 461, 661)(436, 636, 458, 658)(437, 637, 463, 663)(439, 639, 466, 666)(440, 640, 460, 660)(441, 641, 469, 669)(443, 643, 471, 671)(445, 645, 468, 668)(448, 648, 476, 676)(450, 650, 478, 678)(451, 651, 479, 679)(453, 653, 477, 677)(454, 654, 459, 659)(455, 655, 483, 683)(457, 657, 485, 685)(462, 662, 490, 690)(464, 664, 492, 692)(465, 665, 493, 693)(467, 667, 491, 691)(470, 670, 498, 698)(472, 672, 501, 701)(473, 673, 500, 700)(474, 674, 503, 703)(475, 675, 505, 705)(480, 680, 506, 706)(481, 681, 511, 711)(482, 682, 513, 713)(484, 684, 516, 716)(486, 686, 519, 719)(487, 687, 518, 718)(488, 688, 521, 721)(489, 689, 523, 723)(494, 694, 524, 724)(495, 695, 529, 729)(496, 696, 531, 731)(497, 697, 533, 733)(499, 699, 535, 735)(502, 702, 539, 739)(504, 704, 540, 740)(507, 707, 543, 743)(508, 708, 545, 745)(509, 709, 547, 747)(510, 710, 549, 749)(512, 712, 551, 751)(514, 714, 552, 752)(515, 715, 553, 753)(517, 717, 555, 755)(520, 720, 559, 759)(522, 722, 560, 760)(525, 725, 546, 746)(526, 726, 544, 744)(527, 727, 563, 763)(528, 728, 565, 765)(530, 730, 567, 767)(532, 732, 568, 768)(534, 734, 570, 770)(536, 736, 573, 773)(537, 737, 572, 772)(538, 738, 575, 775)(541, 741, 577, 777)(542, 742, 579, 779)(548, 748, 582, 782)(550, 750, 584, 784)(554, 754, 586, 786)(556, 756, 580, 780)(557, 757, 588, 788)(558, 758, 578, 778)(561, 761, 576, 776)(562, 762, 574, 774)(564, 764, 590, 790)(566, 766, 592, 792)(569, 769, 593, 793)(571, 771, 595, 795)(581, 781, 599, 799)(583, 783, 598, 798)(585, 785, 600, 800)(587, 787, 597, 797)(589, 789, 594, 794)(591, 791, 596, 796)
	L = (1, 404)(2, 407)(3, 410)(4, 413)(5, 401)(6, 416)(7, 419)(8, 402)(9, 422)(10, 424)(11, 403)(12, 426)(13, 405)(14, 429)(15, 432)(16, 434)(17, 406)(18, 436)(19, 408)(20, 439)(21, 412)(22, 444)(23, 409)(24, 411)(25, 448)(26, 442)(27, 450)(28, 446)(29, 454)(30, 414)(31, 418)(32, 458)(33, 415)(34, 417)(35, 462)(36, 456)(37, 464)(38, 460)(39, 468)(40, 420)(41, 470)(42, 421)(43, 473)(44, 423)(45, 466)(46, 459)(47, 427)(48, 478)(49, 425)(50, 476)(51, 480)(52, 428)(53, 475)(54, 430)(55, 484)(56, 431)(57, 487)(58, 433)(59, 452)(60, 445)(61, 437)(62, 492)(63, 435)(64, 490)(65, 494)(66, 438)(67, 489)(68, 440)(69, 443)(70, 500)(71, 441)(72, 502)(73, 498)(74, 504)(75, 506)(76, 447)(77, 451)(78, 449)(79, 453)(80, 505)(81, 512)(82, 514)(83, 457)(84, 518)(85, 455)(86, 520)(87, 516)(88, 522)(89, 524)(90, 461)(91, 465)(92, 463)(93, 467)(94, 523)(95, 530)(96, 532)(97, 534)(98, 469)(99, 537)(100, 471)(101, 474)(102, 540)(103, 472)(104, 539)(105, 477)(106, 479)(107, 544)(108, 546)(109, 548)(110, 550)(111, 482)(112, 552)(113, 481)(114, 551)(115, 554)(116, 483)(117, 557)(118, 485)(119, 488)(120, 560)(121, 486)(122, 559)(123, 491)(124, 493)(125, 545)(126, 543)(127, 564)(128, 566)(129, 496)(130, 568)(131, 495)(132, 567)(133, 499)(134, 572)(135, 497)(136, 574)(137, 570)(138, 576)(139, 501)(140, 503)(141, 578)(142, 580)(143, 508)(144, 525)(145, 507)(146, 526)(147, 510)(148, 584)(149, 509)(150, 582)(151, 511)(152, 513)(153, 517)(154, 588)(155, 515)(156, 579)(157, 586)(158, 577)(159, 519)(160, 521)(161, 575)(162, 573)(163, 528)(164, 592)(165, 527)(166, 590)(167, 529)(168, 531)(169, 594)(170, 533)(171, 596)(172, 535)(173, 538)(174, 561)(175, 536)(176, 562)(177, 542)(178, 556)(179, 541)(180, 558)(181, 600)(182, 547)(183, 597)(184, 549)(185, 599)(186, 553)(187, 598)(188, 555)(189, 593)(190, 563)(191, 595)(192, 565)(193, 571)(194, 591)(195, 569)(196, 589)(197, 585)(198, 581)(199, 583)(200, 587)(201, 601)(202, 602)(203, 603)(204, 604)(205, 605)(206, 606)(207, 607)(208, 608)(209, 609)(210, 610)(211, 611)(212, 612)(213, 613)(214, 614)(215, 615)(216, 616)(217, 617)(218, 618)(219, 619)(220, 620)(221, 621)(222, 622)(223, 623)(224, 624)(225, 625)(226, 626)(227, 627)(228, 628)(229, 629)(230, 630)(231, 631)(232, 632)(233, 633)(234, 634)(235, 635)(236, 636)(237, 637)(238, 638)(239, 639)(240, 640)(241, 641)(242, 642)(243, 643)(244, 644)(245, 645)(246, 646)(247, 647)(248, 648)(249, 649)(250, 650)(251, 651)(252, 652)(253, 653)(254, 654)(255, 655)(256, 656)(257, 657)(258, 658)(259, 659)(260, 660)(261, 661)(262, 662)(263, 663)(264, 664)(265, 665)(266, 666)(267, 667)(268, 668)(269, 669)(270, 670)(271, 671)(272, 672)(273, 673)(274, 674)(275, 675)(276, 676)(277, 677)(278, 678)(279, 679)(280, 680)(281, 681)(282, 682)(283, 683)(284, 684)(285, 685)(286, 686)(287, 687)(288, 688)(289, 689)(290, 690)(291, 691)(292, 692)(293, 693)(294, 694)(295, 695)(296, 696)(297, 697)(298, 698)(299, 699)(300, 700)(301, 701)(302, 702)(303, 703)(304, 704)(305, 705)(306, 706)(307, 707)(308, 708)(309, 709)(310, 710)(311, 711)(312, 712)(313, 713)(314, 714)(315, 715)(316, 716)(317, 717)(318, 718)(319, 719)(320, 720)(321, 721)(322, 722)(323, 723)(324, 724)(325, 725)(326, 726)(327, 727)(328, 728)(329, 729)(330, 730)(331, 731)(332, 732)(333, 733)(334, 734)(335, 735)(336, 736)(337, 737)(338, 738)(339, 739)(340, 740)(341, 741)(342, 742)(343, 743)(344, 744)(345, 745)(346, 746)(347, 747)(348, 748)(349, 749)(350, 750)(351, 751)(352, 752)(353, 753)(354, 754)(355, 755)(356, 756)(357, 757)(358, 758)(359, 759)(360, 760)(361, 761)(362, 762)(363, 763)(364, 764)(365, 765)(366, 766)(367, 767)(368, 768)(369, 769)(370, 770)(371, 771)(372, 772)(373, 773)(374, 774)(375, 775)(376, 776)(377, 777)(378, 778)(379, 779)(380, 780)(381, 781)(382, 782)(383, 783)(384, 784)(385, 785)(386, 786)(387, 787)(388, 788)(389, 789)(390, 790)(391, 791)(392, 792)(393, 793)(394, 794)(395, 795)(396, 796)(397, 797)(398, 798)(399, 799)(400, 800)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E26.1419
Graph:: simple bipartite
	v = 200 e = 400 f = 150
	degree seq :: [ 4^200 ]

E26.1417 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (D10 x D10) : C2 (small group id <200, 43>)
Aut   = C2 x ((D10 x D10) : C2) (small group id <400, 211>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, Y3^4, (R * Y1)^2, (Y3^2 * Y2)^2, Y3^-1 * Y2 * Y3 * Y2 * Y3^-2, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1)^4, Y3^-1 * Y1 * Y3^-2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1, Y1 * Y3^-2 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-2 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^2, Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y3^2 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 201, 2, 202)(3, 203, 9, 209)(4, 204, 12, 212)(5, 205, 14, 214)(6, 206, 15, 215)(7, 207, 18, 218)(8, 208, 20, 220)(10, 210, 24, 224)(11, 211, 17, 217)(13, 213, 29, 229)(16, 216, 34, 234)(19, 219, 39, 239)(21, 221, 41, 241)(22, 222, 43, 243)(23, 223, 45, 245)(25, 225, 49, 249)(26, 226, 50, 250)(27, 227, 40, 240)(28, 228, 53, 253)(30, 230, 37, 237)(31, 231, 55, 255)(32, 232, 57, 257)(33, 233, 59, 259)(35, 235, 63, 263)(36, 236, 64, 264)(38, 238, 67, 267)(42, 242, 72, 272)(44, 244, 73, 273)(46, 246, 75, 275)(47, 247, 74, 274)(48, 248, 78, 278)(51, 251, 81, 281)(52, 252, 82, 282)(54, 254, 70, 270)(56, 256, 86, 286)(58, 258, 87, 287)(60, 260, 89, 289)(61, 261, 88, 288)(62, 262, 92, 292)(65, 265, 95, 295)(66, 266, 96, 296)(68, 268, 84, 284)(69, 269, 97, 297)(71, 271, 100, 300)(76, 276, 107, 307)(77, 277, 108, 308)(79, 279, 109, 309)(80, 280, 110, 310)(83, 283, 115, 315)(85, 285, 118, 318)(90, 290, 125, 325)(91, 291, 126, 326)(93, 293, 127, 327)(94, 294, 128, 328)(98, 298, 136, 336)(99, 299, 137, 337)(101, 301, 131, 331)(102, 302, 138, 338)(103, 303, 129, 329)(104, 304, 134, 334)(105, 305, 141, 341)(106, 306, 142, 342)(111, 311, 121, 321)(112, 312, 150, 350)(113, 313, 119, 319)(114, 314, 148, 348)(116, 316, 156, 356)(117, 317, 157, 357)(120, 320, 158, 358)(122, 322, 154, 354)(123, 323, 161, 361)(124, 324, 162, 362)(130, 330, 166, 366)(132, 332, 164, 364)(133, 333, 169, 369)(135, 335, 172, 372)(139, 339, 152, 352)(140, 340, 151, 351)(143, 343, 175, 375)(144, 344, 180, 380)(145, 345, 173, 373)(146, 346, 178, 378)(147, 347, 181, 381)(149, 349, 184, 384)(153, 353, 185, 385)(155, 355, 188, 388)(159, 359, 168, 368)(160, 360, 167, 367)(163, 363, 189, 389)(165, 365, 192, 392)(170, 370, 183, 383)(171, 371, 182, 382)(174, 374, 196, 396)(176, 376, 194, 394)(177, 377, 197, 397)(179, 379, 198, 398)(186, 386, 191, 391)(187, 387, 190, 390)(193, 393, 200, 400)(195, 395, 199, 399)(401, 601, 403, 603)(402, 602, 406, 606)(404, 604, 411, 611)(405, 605, 410, 610)(407, 607, 417, 617)(408, 608, 416, 616)(409, 609, 421, 621)(412, 612, 426, 626)(413, 613, 425, 625)(414, 614, 422, 622)(415, 615, 431, 631)(418, 618, 436, 636)(419, 619, 435, 635)(420, 620, 432, 632)(423, 623, 442, 642)(424, 624, 446, 646)(427, 627, 449, 649)(428, 628, 451, 651)(429, 629, 447, 647)(430, 630, 444, 644)(433, 633, 456, 656)(434, 634, 460, 660)(437, 637, 463, 663)(438, 638, 465, 665)(439, 639, 461, 661)(440, 640, 458, 658)(441, 641, 469, 669)(443, 643, 466, 666)(445, 645, 470, 670)(448, 648, 476, 676)(450, 650, 479, 679)(452, 652, 457, 657)(453, 653, 478, 678)(454, 654, 477, 677)(455, 655, 483, 683)(459, 659, 484, 684)(462, 662, 490, 690)(464, 664, 493, 693)(467, 667, 492, 692)(468, 668, 491, 691)(471, 671, 498, 698)(472, 672, 501, 701)(473, 673, 502, 702)(474, 674, 499, 699)(475, 675, 505, 705)(480, 680, 506, 706)(481, 681, 511, 711)(482, 682, 512, 712)(485, 685, 516, 716)(486, 686, 519, 719)(487, 687, 520, 720)(488, 688, 517, 717)(489, 689, 523, 723)(494, 694, 524, 724)(495, 695, 529, 729)(496, 696, 530, 730)(497, 697, 533, 733)(500, 700, 534, 734)(503, 703, 539, 739)(504, 704, 540, 740)(507, 707, 543, 743)(508, 708, 544, 744)(509, 709, 547, 747)(510, 710, 548, 748)(513, 713, 551, 751)(514, 714, 552, 752)(515, 715, 553, 753)(518, 718, 554, 754)(521, 721, 559, 759)(522, 722, 560, 760)(525, 725, 546, 746)(526, 726, 545, 745)(527, 727, 563, 763)(528, 728, 564, 764)(531, 731, 567, 767)(532, 732, 568, 768)(535, 735, 570, 770)(536, 736, 573, 773)(537, 737, 574, 774)(538, 738, 571, 771)(541, 741, 577, 777)(542, 742, 578, 778)(549, 749, 582, 782)(550, 750, 583, 783)(555, 755, 586, 786)(556, 756, 580, 780)(557, 757, 579, 779)(558, 758, 587, 787)(561, 761, 576, 776)(562, 762, 575, 775)(565, 765, 590, 790)(566, 766, 591, 791)(569, 769, 593, 793)(572, 772, 594, 794)(581, 781, 599, 799)(584, 784, 598, 798)(585, 785, 600, 800)(588, 788, 597, 797)(589, 789, 595, 795)(592, 792, 596, 796)
	L = (1, 404)(2, 407)(3, 410)(4, 413)(5, 401)(6, 416)(7, 419)(8, 402)(9, 422)(10, 425)(11, 403)(12, 427)(13, 405)(14, 421)(15, 432)(16, 435)(17, 406)(18, 437)(19, 408)(20, 431)(21, 442)(22, 444)(23, 409)(24, 447)(25, 411)(26, 451)(27, 452)(28, 412)(29, 446)(30, 414)(31, 456)(32, 458)(33, 415)(34, 461)(35, 417)(36, 465)(37, 466)(38, 418)(39, 460)(40, 420)(41, 470)(42, 430)(43, 463)(44, 423)(45, 469)(46, 476)(47, 477)(48, 424)(49, 426)(50, 478)(51, 457)(52, 428)(53, 479)(54, 429)(55, 484)(56, 440)(57, 449)(58, 433)(59, 483)(60, 490)(61, 491)(62, 434)(63, 436)(64, 492)(65, 443)(66, 438)(67, 493)(68, 439)(69, 498)(70, 499)(71, 441)(72, 502)(73, 501)(74, 445)(75, 453)(76, 454)(77, 448)(78, 505)(79, 506)(80, 450)(81, 512)(82, 511)(83, 516)(84, 517)(85, 455)(86, 520)(87, 519)(88, 459)(89, 467)(90, 468)(91, 462)(92, 523)(93, 524)(94, 464)(95, 530)(96, 529)(97, 534)(98, 474)(99, 471)(100, 533)(101, 539)(102, 540)(103, 472)(104, 473)(105, 480)(106, 475)(107, 544)(108, 543)(109, 548)(110, 547)(111, 551)(112, 552)(113, 481)(114, 482)(115, 554)(116, 488)(117, 485)(118, 553)(119, 559)(120, 560)(121, 486)(122, 487)(123, 494)(124, 489)(125, 545)(126, 546)(127, 564)(128, 563)(129, 567)(130, 568)(131, 495)(132, 496)(133, 570)(134, 571)(135, 497)(136, 574)(137, 573)(138, 500)(139, 504)(140, 503)(141, 578)(142, 577)(143, 526)(144, 525)(145, 507)(146, 508)(147, 582)(148, 583)(149, 509)(150, 510)(151, 514)(152, 513)(153, 586)(154, 587)(155, 515)(156, 579)(157, 580)(158, 518)(159, 522)(160, 521)(161, 575)(162, 576)(163, 590)(164, 591)(165, 527)(166, 528)(167, 532)(168, 531)(169, 594)(170, 538)(171, 535)(172, 593)(173, 562)(174, 561)(175, 536)(176, 537)(177, 557)(178, 556)(179, 541)(180, 542)(181, 598)(182, 550)(183, 549)(184, 599)(185, 597)(186, 558)(187, 555)(188, 600)(189, 596)(190, 566)(191, 565)(192, 595)(193, 589)(194, 592)(195, 569)(196, 572)(197, 584)(198, 588)(199, 585)(200, 581)(201, 601)(202, 602)(203, 603)(204, 604)(205, 605)(206, 606)(207, 607)(208, 608)(209, 609)(210, 610)(211, 611)(212, 612)(213, 613)(214, 614)(215, 615)(216, 616)(217, 617)(218, 618)(219, 619)(220, 620)(221, 621)(222, 622)(223, 623)(224, 624)(225, 625)(226, 626)(227, 627)(228, 628)(229, 629)(230, 630)(231, 631)(232, 632)(233, 633)(234, 634)(235, 635)(236, 636)(237, 637)(238, 638)(239, 639)(240, 640)(241, 641)(242, 642)(243, 643)(244, 644)(245, 645)(246, 646)(247, 647)(248, 648)(249, 649)(250, 650)(251, 651)(252, 652)(253, 653)(254, 654)(255, 655)(256, 656)(257, 657)(258, 658)(259, 659)(260, 660)(261, 661)(262, 662)(263, 663)(264, 664)(265, 665)(266, 666)(267, 667)(268, 668)(269, 669)(270, 670)(271, 671)(272, 672)(273, 673)(274, 674)(275, 675)(276, 676)(277, 677)(278, 678)(279, 679)(280, 680)(281, 681)(282, 682)(283, 683)(284, 684)(285, 685)(286, 686)(287, 687)(288, 688)(289, 689)(290, 690)(291, 691)(292, 692)(293, 693)(294, 694)(295, 695)(296, 696)(297, 697)(298, 698)(299, 699)(300, 700)(301, 701)(302, 702)(303, 703)(304, 704)(305, 705)(306, 706)(307, 707)(308, 708)(309, 709)(310, 710)(311, 711)(312, 712)(313, 713)(314, 714)(315, 715)(316, 716)(317, 717)(318, 718)(319, 719)(320, 720)(321, 721)(322, 722)(323, 723)(324, 724)(325, 725)(326, 726)(327, 727)(328, 728)(329, 729)(330, 730)(331, 731)(332, 732)(333, 733)(334, 734)(335, 735)(336, 736)(337, 737)(338, 738)(339, 739)(340, 740)(341, 741)(342, 742)(343, 743)(344, 744)(345, 745)(346, 746)(347, 747)(348, 748)(349, 749)(350, 750)(351, 751)(352, 752)(353, 753)(354, 754)(355, 755)(356, 756)(357, 757)(358, 758)(359, 759)(360, 760)(361, 761)(362, 762)(363, 763)(364, 764)(365, 765)(366, 766)(367, 767)(368, 768)(369, 769)(370, 770)(371, 771)(372, 772)(373, 773)(374, 774)(375, 775)(376, 776)(377, 777)(378, 778)(379, 779)(380, 780)(381, 781)(382, 782)(383, 783)(384, 784)(385, 785)(386, 786)(387, 787)(388, 788)(389, 789)(390, 790)(391, 791)(392, 792)(393, 793)(394, 794)(395, 795)(396, 796)(397, 797)(398, 798)(399, 799)(400, 800)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E26.1418
Graph:: simple bipartite
	v = 200 e = 400 f = 150
	degree seq :: [ 4^200 ]

E26.1418 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (D10 x D10) : C2 (small group id <200, 43>)
Aut   = C2 x ((D10 x D10) : C2) (small group id <400, 211>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y3)^2, (R * Y2)^2, Y1^4, (R * Y1)^2, (Y1^-1 * Y3)^2, (R * Y3)^2, (Y2 * Y1^-1 * Y2 * Y1)^2, Y1 * Y2 * Y1 * Y2 * Y1^2 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-2 * Y3, Y2 * Y1^-2 * Y2 * Y1^-2 * Y3 * Y2 * Y1^-2 * Y2 * Y1^-2 * Y2 * Y1^-2, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^2 * Y2 * Y1^-2 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y3 * Y1, (Y2 * Y1^-1)^10 ]
Map:: polytopal non-degenerate
	R = (1, 201, 2, 202, 6, 206, 5, 205)(3, 203, 9, 209, 19, 219, 11, 211)(4, 204, 12, 212, 15, 215, 8, 208)(7, 207, 16, 216, 30, 230, 18, 218)(10, 210, 22, 222, 36, 236, 21, 221)(13, 213, 25, 225, 44, 244, 26, 226)(14, 214, 27, 227, 46, 246, 29, 229)(17, 217, 33, 233, 52, 252, 32, 232)(20, 220, 37, 237, 56, 256, 34, 234)(23, 223, 40, 240, 64, 264, 41, 241)(24, 224, 42, 242, 66, 266, 43, 243)(28, 228, 49, 249, 71, 271, 48, 248)(31, 231, 53, 253, 75, 275, 50, 250)(35, 235, 57, 257, 83, 283, 59, 259)(38, 238, 55, 255, 81, 281, 61, 261)(39, 239, 62, 262, 90, 290, 63, 263)(45, 245, 47, 247, 72, 272, 69, 269)(51, 251, 76, 276, 106, 306, 78, 278)(54, 254, 74, 274, 104, 304, 80, 280)(58, 258, 86, 286, 116, 316, 85, 285)(60, 260, 88, 288, 120, 320, 87, 287)(65, 265, 84, 284, 117, 317, 93, 293)(67, 267, 95, 295, 103, 303, 73, 273)(68, 268, 96, 296, 131, 331, 97, 297)(70, 270, 99, 299, 134, 334, 101, 301)(77, 277, 109, 309, 144, 344, 108, 308)(79, 279, 111, 311, 148, 348, 110, 310)(82, 282, 107, 307, 145, 345, 114, 314)(89, 289, 119, 319, 155, 355, 122, 322)(91, 291, 124, 324, 154, 354, 118, 318)(92, 292, 125, 325, 162, 362, 126, 326)(94, 294, 128, 328, 143, 343, 129, 329)(98, 298, 132, 332, 167, 367, 133, 333)(100, 300, 137, 337, 115, 315, 136, 336)(102, 302, 139, 339, 172, 372, 138, 338)(105, 305, 135, 335, 169, 369, 142, 342)(112, 312, 147, 347, 179, 379, 150, 350)(113, 313, 151, 351, 178, 378, 146, 346)(121, 321, 157, 357, 184, 384, 152, 352)(123, 323, 159, 359, 177, 377, 160, 360)(127, 327, 163, 363, 189, 389, 164, 364)(130, 330, 166, 366, 180, 380, 165, 365)(140, 340, 171, 371, 153, 353, 174, 374)(141, 341, 175, 375, 156, 356, 170, 370)(149, 349, 181, 381, 196, 396, 176, 376)(158, 358, 183, 383, 199, 399, 186, 386)(161, 361, 188, 388, 200, 400, 187, 387)(168, 368, 173, 373, 193, 393, 192, 392)(182, 382, 195, 395, 185, 385, 198, 398)(190, 390, 194, 394, 191, 391, 197, 397)(401, 601, 403, 603)(402, 602, 407, 607)(404, 604, 410, 610)(405, 605, 413, 613)(406, 606, 414, 614)(408, 608, 417, 617)(409, 609, 420, 620)(411, 611, 423, 623)(412, 612, 424, 624)(415, 615, 428, 628)(416, 616, 431, 631)(418, 618, 434, 634)(419, 619, 435, 635)(421, 621, 438, 638)(422, 622, 439, 639)(425, 625, 440, 640)(426, 626, 445, 645)(427, 627, 447, 647)(429, 629, 450, 650)(430, 630, 451, 651)(432, 632, 454, 654)(433, 633, 455, 655)(436, 636, 458, 658)(437, 637, 460, 660)(441, 641, 465, 665)(442, 642, 467, 667)(443, 643, 463, 663)(444, 644, 468, 668)(446, 646, 470, 670)(448, 648, 473, 673)(449, 649, 474, 674)(452, 652, 477, 677)(453, 653, 479, 679)(456, 656, 482, 682)(457, 657, 484, 684)(459, 659, 487, 687)(461, 661, 489, 689)(462, 662, 491, 691)(464, 664, 492, 692)(466, 666, 494, 694)(469, 669, 498, 698)(471, 671, 500, 700)(472, 672, 502, 702)(475, 675, 505, 705)(476, 676, 507, 707)(478, 678, 510, 710)(480, 680, 512, 712)(481, 681, 513, 713)(483, 683, 515, 715)(485, 685, 518, 718)(486, 686, 519, 719)(488, 688, 521, 721)(490, 690, 523, 723)(493, 693, 527, 727)(495, 695, 530, 730)(496, 696, 532, 732)(497, 697, 526, 726)(499, 699, 535, 735)(501, 701, 538, 738)(503, 703, 540, 740)(504, 704, 541, 741)(506, 706, 543, 743)(508, 708, 546, 746)(509, 709, 547, 747)(511, 711, 549, 749)(514, 714, 552, 752)(516, 716, 534, 734)(517, 717, 553, 753)(520, 720, 556, 756)(522, 722, 558, 758)(524, 724, 561, 761)(525, 725, 563, 763)(528, 728, 559, 759)(529, 729, 565, 765)(531, 731, 544, 744)(533, 733, 568, 768)(536, 736, 570, 770)(537, 737, 571, 771)(539, 739, 573, 773)(542, 742, 576, 776)(545, 745, 577, 777)(548, 748, 580, 780)(550, 750, 582, 782)(551, 751, 583, 783)(554, 754, 572, 772)(555, 755, 569, 769)(557, 757, 585, 785)(560, 760, 587, 787)(562, 762, 578, 778)(564, 764, 590, 790)(566, 766, 591, 791)(567, 767, 579, 779)(574, 774, 594, 794)(575, 775, 595, 795)(581, 781, 597, 797)(584, 784, 600, 800)(586, 786, 596, 796)(588, 788, 593, 793)(589, 789, 599, 799)(592, 792, 598, 798)
	L = (1, 404)(2, 408)(3, 410)(4, 401)(5, 412)(6, 415)(7, 417)(8, 402)(9, 421)(10, 403)(11, 422)(12, 405)(13, 424)(14, 428)(15, 406)(16, 432)(17, 407)(18, 433)(19, 436)(20, 438)(21, 409)(22, 411)(23, 439)(24, 413)(25, 443)(26, 442)(27, 448)(28, 414)(29, 449)(30, 452)(31, 454)(32, 416)(33, 418)(34, 455)(35, 458)(36, 419)(37, 461)(38, 420)(39, 423)(40, 463)(41, 462)(42, 426)(43, 425)(44, 466)(45, 467)(46, 471)(47, 473)(48, 427)(49, 429)(50, 474)(51, 477)(52, 430)(53, 480)(54, 431)(55, 434)(56, 481)(57, 485)(58, 435)(59, 486)(60, 489)(61, 437)(62, 441)(63, 440)(64, 490)(65, 491)(66, 444)(67, 445)(68, 494)(69, 495)(70, 500)(71, 446)(72, 503)(73, 447)(74, 450)(75, 504)(76, 508)(77, 451)(78, 509)(79, 512)(80, 453)(81, 456)(82, 513)(83, 516)(84, 518)(85, 457)(86, 459)(87, 519)(88, 522)(89, 460)(90, 464)(91, 465)(92, 523)(93, 524)(94, 468)(95, 469)(96, 529)(97, 528)(98, 530)(99, 536)(100, 470)(101, 537)(102, 540)(103, 472)(104, 475)(105, 541)(106, 544)(107, 546)(108, 476)(109, 478)(110, 547)(111, 550)(112, 479)(113, 482)(114, 551)(115, 534)(116, 483)(117, 554)(118, 484)(119, 487)(120, 555)(121, 558)(122, 488)(123, 492)(124, 493)(125, 560)(126, 559)(127, 561)(128, 497)(129, 496)(130, 498)(131, 543)(132, 565)(133, 566)(134, 515)(135, 570)(136, 499)(137, 501)(138, 571)(139, 574)(140, 502)(141, 505)(142, 575)(143, 531)(144, 506)(145, 578)(146, 507)(147, 510)(148, 579)(149, 582)(150, 511)(151, 514)(152, 583)(153, 572)(154, 517)(155, 520)(156, 569)(157, 586)(158, 521)(159, 526)(160, 525)(161, 527)(162, 577)(163, 587)(164, 588)(165, 532)(166, 533)(167, 580)(168, 591)(169, 556)(170, 535)(171, 538)(172, 553)(173, 594)(174, 539)(175, 542)(176, 595)(177, 562)(178, 545)(179, 548)(180, 567)(181, 598)(182, 549)(183, 552)(184, 599)(185, 596)(186, 557)(187, 563)(188, 564)(189, 600)(190, 593)(191, 568)(192, 597)(193, 590)(194, 573)(195, 576)(196, 585)(197, 592)(198, 581)(199, 584)(200, 589)(201, 601)(202, 602)(203, 603)(204, 604)(205, 605)(206, 606)(207, 607)(208, 608)(209, 609)(210, 610)(211, 611)(212, 612)(213, 613)(214, 614)(215, 615)(216, 616)(217, 617)(218, 618)(219, 619)(220, 620)(221, 621)(222, 622)(223, 623)(224, 624)(225, 625)(226, 626)(227, 627)(228, 628)(229, 629)(230, 630)(231, 631)(232, 632)(233, 633)(234, 634)(235, 635)(236, 636)(237, 637)(238, 638)(239, 639)(240, 640)(241, 641)(242, 642)(243, 643)(244, 644)(245, 645)(246, 646)(247, 647)(248, 648)(249, 649)(250, 650)(251, 651)(252, 652)(253, 653)(254, 654)(255, 655)(256, 656)(257, 657)(258, 658)(259, 659)(260, 660)(261, 661)(262, 662)(263, 663)(264, 664)(265, 665)(266, 666)(267, 667)(268, 668)(269, 669)(270, 670)(271, 671)(272, 672)(273, 673)(274, 674)(275, 675)(276, 676)(277, 677)(278, 678)(279, 679)(280, 680)(281, 681)(282, 682)(283, 683)(284, 684)(285, 685)(286, 686)(287, 687)(288, 688)(289, 689)(290, 690)(291, 691)(292, 692)(293, 693)(294, 694)(295, 695)(296, 696)(297, 697)(298, 698)(299, 699)(300, 700)(301, 701)(302, 702)(303, 703)(304, 704)(305, 705)(306, 706)(307, 707)(308, 708)(309, 709)(310, 710)(311, 711)(312, 712)(313, 713)(314, 714)(315, 715)(316, 716)(317, 717)(318, 718)(319, 719)(320, 720)(321, 721)(322, 722)(323, 723)(324, 724)(325, 725)(326, 726)(327, 727)(328, 728)(329, 729)(330, 730)(331, 731)(332, 732)(333, 733)(334, 734)(335, 735)(336, 736)(337, 737)(338, 738)(339, 739)(340, 740)(341, 741)(342, 742)(343, 743)(344, 744)(345, 745)(346, 746)(347, 747)(348, 748)(349, 749)(350, 750)(351, 751)(352, 752)(353, 753)(354, 754)(355, 755)(356, 756)(357, 757)(358, 758)(359, 759)(360, 760)(361, 761)(362, 762)(363, 763)(364, 764)(365, 765)(366, 766)(367, 767)(368, 768)(369, 769)(370, 770)(371, 771)(372, 772)(373, 773)(374, 774)(375, 775)(376, 776)(377, 777)(378, 778)(379, 779)(380, 780)(381, 781)(382, 782)(383, 783)(384, 784)(385, 785)(386, 786)(387, 787)(388, 788)(389, 789)(390, 790)(391, 791)(392, 792)(393, 793)(394, 794)(395, 795)(396, 796)(397, 797)(398, 798)(399, 799)(400, 800)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E26.1417
Graph:: simple bipartite
	v = 150 e = 400 f = 200
	degree seq :: [ 4^100, 8^50 ]

E26.1419 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (D10 x D10) : C2 (small group id <200, 43>)
Aut   = C2 x ((D10 x D10) : C2) (small group id <400, 211>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, (Y3 * Y2)^2, (Y3 * Y1)^2, Y1^4, (R * Y3)^2, (R * Y1)^2, R * Y3 * Y2 * Y3^-1 * R * Y2, Y2 * Y1 * Y2 * Y1^-1 * Y3^-2, (Y1^-1 * R * Y2)^2, (Y3^-1 * Y1)^5, Y2 * Y1^-2 * Y3^2 * Y1 * Y3^-1 * Y1 * Y3^-2 * Y1^-1 * Y2 * Y1^-2, Y3^2 * Y1 * Y3^-1 * Y1^2 * Y3^-1 * Y1 * Y2 * Y1^2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 201, 2, 202, 7, 207, 5, 205)(3, 203, 11, 211, 31, 231, 13, 213)(4, 204, 15, 215, 39, 239, 17, 217)(6, 206, 20, 220, 29, 229, 9, 209)(8, 208, 24, 224, 53, 253, 26, 226)(10, 210, 30, 230, 51, 251, 22, 222)(12, 212, 35, 235, 47, 247, 25, 225)(14, 214, 38, 238, 67, 267, 33, 233)(16, 216, 32, 232, 64, 264, 40, 240)(18, 218, 42, 242, 75, 275, 43, 243)(19, 219, 23, 223, 52, 252, 44, 244)(21, 221, 46, 246, 79, 279, 48, 248)(27, 227, 57, 257, 91, 291, 55, 255)(28, 228, 54, 254, 88, 288, 58, 258)(34, 234, 68, 268, 100, 300, 62, 262)(36, 236, 69, 269, 109, 309, 70, 270)(37, 237, 63, 263, 101, 301, 71, 271)(41, 241, 61, 261, 97, 297, 74, 274)(45, 245, 78, 278, 95, 295, 59, 259)(49, 249, 83, 283, 121, 321, 81, 281)(50, 250, 80, 280, 118, 318, 84, 284)(56, 256, 92, 292, 127, 327, 87, 287)(60, 260, 96, 296, 125, 325, 85, 285)(65, 265, 105, 305, 145, 345, 103, 303)(66, 266, 102, 302, 142, 342, 106, 306)(72, 272, 112, 312, 147, 347, 107, 307)(73, 273, 104, 304, 146, 346, 113, 313)(76, 276, 115, 315, 134, 334, 114, 314)(77, 277, 86, 286, 126, 326, 116, 316)(82, 282, 122, 322, 108, 308, 117, 317)(89, 289, 131, 331, 162, 362, 129, 329)(90, 290, 128, 328, 159, 359, 132, 332)(93, 293, 135, 335, 164, 364, 133, 333)(94, 294, 130, 330, 163, 363, 136, 336)(98, 298, 139, 339, 166, 366, 138, 338)(99, 299, 137, 337, 165, 365, 140, 340)(110, 310, 149, 349, 174, 374, 148, 348)(111, 311, 141, 341, 169, 369, 150, 350)(119, 319, 154, 354, 178, 378, 152, 352)(120, 320, 151, 351, 175, 375, 155, 355)(123, 323, 157, 357, 180, 380, 156, 356)(124, 324, 153, 353, 179, 379, 158, 358)(143, 343, 172, 372, 190, 390, 171, 371)(144, 344, 170, 370, 189, 389, 173, 373)(160, 360, 183, 383, 196, 396, 182, 382)(161, 361, 181, 381, 195, 395, 184, 384)(167, 367, 187, 387, 198, 398, 186, 386)(168, 368, 185, 385, 197, 397, 188, 388)(176, 376, 193, 393, 200, 400, 192, 392)(177, 377, 191, 391, 199, 399, 194, 394)(401, 601, 403, 603)(402, 602, 408, 608)(404, 604, 414, 614)(405, 605, 418, 618)(406, 606, 412, 612)(407, 607, 421, 621)(409, 609, 427, 627)(410, 610, 425, 625)(411, 611, 432, 632)(413, 613, 436, 636)(415, 615, 435, 635)(416, 616, 426, 626)(417, 617, 434, 634)(419, 619, 437, 637)(420, 620, 438, 638)(422, 622, 449, 649)(423, 623, 447, 647)(424, 624, 454, 654)(428, 628, 448, 648)(429, 629, 456, 656)(430, 630, 457, 657)(431, 631, 461, 661)(433, 633, 465, 665)(439, 639, 463, 663)(440, 640, 472, 672)(441, 641, 466, 666)(442, 642, 469, 669)(443, 643, 450, 650)(444, 644, 476, 676)(445, 645, 453, 653)(446, 646, 480, 680)(451, 651, 482, 682)(452, 652, 483, 683)(455, 655, 489, 689)(458, 658, 493, 693)(459, 659, 490, 690)(460, 660, 479, 679)(462, 662, 498, 698)(464, 664, 502, 702)(467, 667, 504, 704)(468, 668, 505, 705)(470, 670, 499, 699)(471, 671, 510, 710)(473, 673, 487, 687)(474, 674, 508, 708)(475, 675, 486, 686)(477, 677, 511, 711)(478, 678, 512, 712)(481, 681, 519, 719)(484, 684, 523, 723)(485, 685, 520, 720)(488, 688, 528, 728)(491, 691, 530, 730)(492, 692, 531, 731)(494, 694, 517, 717)(495, 695, 534, 734)(496, 696, 535, 735)(497, 697, 537, 737)(500, 700, 525, 725)(501, 701, 539, 739)(503, 703, 543, 743)(506, 706, 536, 736)(507, 707, 544, 744)(509, 709, 541, 741)(513, 713, 550, 750)(514, 714, 524, 724)(515, 715, 549, 749)(516, 716, 527, 727)(518, 718, 551, 751)(521, 721, 553, 753)(522, 722, 554, 754)(526, 726, 557, 757)(529, 729, 560, 760)(532, 732, 558, 758)(533, 733, 561, 761)(538, 738, 555, 755)(540, 740, 567, 767)(542, 742, 570, 770)(545, 745, 564, 764)(546, 746, 572, 772)(547, 747, 574, 774)(548, 748, 568, 768)(552, 752, 576, 776)(556, 756, 577, 777)(559, 759, 581, 781)(562, 762, 580, 780)(563, 763, 583, 783)(565, 765, 578, 778)(566, 766, 585, 785)(569, 769, 587, 787)(571, 771, 584, 784)(573, 773, 588, 788)(575, 775, 591, 791)(579, 779, 593, 793)(582, 782, 594, 794)(586, 786, 592, 792)(589, 789, 596, 796)(590, 790, 598, 798)(595, 795, 600, 800)(597, 797, 599, 799)
	L = (1, 404)(2, 409)(3, 412)(4, 416)(5, 419)(6, 401)(7, 422)(8, 425)(9, 428)(10, 402)(11, 433)(12, 426)(13, 437)(14, 403)(15, 405)(16, 406)(17, 441)(18, 435)(19, 436)(20, 440)(21, 447)(22, 450)(23, 407)(24, 455)(25, 448)(26, 414)(27, 408)(28, 410)(29, 459)(30, 458)(31, 462)(32, 417)(33, 466)(34, 411)(35, 413)(36, 415)(37, 418)(38, 453)(39, 470)(40, 473)(41, 465)(42, 471)(43, 449)(44, 477)(45, 420)(46, 481)(47, 443)(48, 427)(49, 421)(50, 423)(51, 485)(52, 484)(53, 487)(54, 429)(55, 490)(56, 424)(57, 479)(58, 494)(59, 489)(60, 430)(61, 439)(62, 499)(63, 431)(64, 503)(65, 432)(66, 434)(67, 507)(68, 506)(69, 444)(70, 498)(71, 511)(72, 438)(73, 445)(74, 496)(75, 514)(76, 442)(77, 510)(78, 513)(79, 517)(80, 451)(81, 520)(82, 446)(83, 475)(84, 524)(85, 519)(86, 452)(87, 472)(88, 529)(89, 454)(90, 456)(91, 533)(92, 532)(93, 457)(94, 460)(95, 526)(96, 536)(97, 538)(98, 461)(99, 463)(100, 522)(101, 540)(102, 467)(103, 544)(104, 464)(105, 474)(106, 535)(107, 543)(108, 468)(109, 548)(110, 469)(111, 476)(112, 527)(113, 549)(114, 523)(115, 550)(116, 478)(117, 493)(118, 552)(119, 480)(120, 482)(121, 556)(122, 555)(123, 483)(124, 486)(125, 497)(126, 558)(127, 515)(128, 491)(129, 561)(130, 488)(131, 495)(132, 557)(133, 560)(134, 492)(135, 508)(136, 505)(137, 500)(138, 554)(139, 509)(140, 568)(141, 501)(142, 571)(143, 502)(144, 504)(145, 563)(146, 573)(147, 569)(148, 567)(149, 516)(150, 512)(151, 521)(152, 577)(153, 518)(154, 525)(155, 537)(156, 576)(157, 534)(158, 531)(159, 582)(160, 528)(161, 530)(162, 579)(163, 584)(164, 542)(165, 575)(166, 586)(167, 539)(168, 541)(169, 588)(170, 545)(171, 583)(172, 547)(173, 587)(174, 546)(175, 592)(176, 551)(177, 553)(178, 566)(179, 594)(180, 559)(181, 562)(182, 593)(183, 564)(184, 570)(185, 565)(186, 591)(187, 574)(188, 572)(189, 595)(190, 597)(191, 578)(192, 585)(193, 580)(194, 581)(195, 599)(196, 590)(197, 600)(198, 589)(199, 598)(200, 596)(201, 601)(202, 602)(203, 603)(204, 604)(205, 605)(206, 606)(207, 607)(208, 608)(209, 609)(210, 610)(211, 611)(212, 612)(213, 613)(214, 614)(215, 615)(216, 616)(217, 617)(218, 618)(219, 619)(220, 620)(221, 621)(222, 622)(223, 623)(224, 624)(225, 625)(226, 626)(227, 627)(228, 628)(229, 629)(230, 630)(231, 631)(232, 632)(233, 633)(234, 634)(235, 635)(236, 636)(237, 637)(238, 638)(239, 639)(240, 640)(241, 641)(242, 642)(243, 643)(244, 644)(245, 645)(246, 646)(247, 647)(248, 648)(249, 649)(250, 650)(251, 651)(252, 652)(253, 653)(254, 654)(255, 655)(256, 656)(257, 657)(258, 658)(259, 659)(260, 660)(261, 661)(262, 662)(263, 663)(264, 664)(265, 665)(266, 666)(267, 667)(268, 668)(269, 669)(270, 670)(271, 671)(272, 672)(273, 673)(274, 674)(275, 675)(276, 676)(277, 677)(278, 678)(279, 679)(280, 680)(281, 681)(282, 682)(283, 683)(284, 684)(285, 685)(286, 686)(287, 687)(288, 688)(289, 689)(290, 690)(291, 691)(292, 692)(293, 693)(294, 694)(295, 695)(296, 696)(297, 697)(298, 698)(299, 699)(300, 700)(301, 701)(302, 702)(303, 703)(304, 704)(305, 705)(306, 706)(307, 707)(308, 708)(309, 709)(310, 710)(311, 711)(312, 712)(313, 713)(314, 714)(315, 715)(316, 716)(317, 717)(318, 718)(319, 719)(320, 720)(321, 721)(322, 722)(323, 723)(324, 724)(325, 725)(326, 726)(327, 727)(328, 728)(329, 729)(330, 730)(331, 731)(332, 732)(333, 733)(334, 734)(335, 735)(336, 736)(337, 737)(338, 738)(339, 739)(340, 740)(341, 741)(342, 742)(343, 743)(344, 744)(345, 745)(346, 746)(347, 747)(348, 748)(349, 749)(350, 750)(351, 751)(352, 752)(353, 753)(354, 754)(355, 755)(356, 756)(357, 757)(358, 758)(359, 759)(360, 760)(361, 761)(362, 762)(363, 763)(364, 764)(365, 765)(366, 766)(367, 767)(368, 768)(369, 769)(370, 770)(371, 771)(372, 772)(373, 773)(374, 774)(375, 775)(376, 776)(377, 777)(378, 778)(379, 779)(380, 780)(381, 781)(382, 782)(383, 783)(384, 784)(385, 785)(386, 786)(387, 787)(388, 788)(389, 789)(390, 790)(391, 791)(392, 792)(393, 793)(394, 794)(395, 795)(396, 796)(397, 797)(398, 798)(399, 799)(400, 800)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E26.1416
Graph:: simple bipartite
	v = 150 e = 400 f = 200
	degree seq :: [ 4^100, 8^50 ]

E26.1420 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (D10 x D10) : C2 (small group id <200, 43>)
Aut   = C2 x ((D10 x D10) : C2) (small group id <400, 211>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, (R * Y2)^2, (Y1^-1 * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, (Y2 * Y1)^4, (Y1^-1 * Y2 * Y1^-1)^5 ]
Map:: polytopal non-degenerate
	R = (1, 201, 2, 202, 6, 206, 5, 205)(3, 203, 9, 209, 19, 219, 11, 211)(4, 204, 12, 212, 15, 215, 8, 208)(7, 207, 16, 216, 30, 230, 18, 218)(10, 210, 22, 222, 36, 236, 21, 221)(13, 213, 25, 225, 44, 244, 26, 226)(14, 214, 27, 227, 46, 246, 29, 229)(17, 217, 33, 233, 52, 252, 32, 232)(20, 220, 37, 237, 60, 260, 39, 239)(23, 223, 41, 241, 54, 254, 31, 231)(24, 224, 42, 242, 66, 266, 43, 243)(28, 228, 49, 249, 71, 271, 48, 248)(34, 234, 56, 256, 73, 273, 47, 247)(35, 235, 57, 257, 83, 283, 59, 259)(38, 238, 62, 262, 89, 289, 61, 261)(40, 240, 53, 253, 79, 279, 64, 264)(45, 245, 50, 250, 75, 275, 69, 269)(51, 251, 76, 276, 106, 306, 78, 278)(55, 255, 72, 272, 102, 302, 81, 281)(58, 258, 86, 286, 116, 316, 85, 285)(63, 263, 91, 291, 118, 318, 84, 284)(65, 265, 87, 287, 120, 320, 93, 293)(67, 267, 95, 295, 104, 304, 74, 274)(68, 268, 96, 296, 131, 331, 97, 297)(70, 270, 99, 299, 115, 315, 101, 301)(77, 277, 109, 309, 142, 342, 108, 308)(80, 280, 112, 312, 144, 344, 107, 307)(82, 282, 110, 310, 146, 346, 114, 314)(88, 288, 121, 321, 156, 356, 123, 323)(90, 290, 117, 317, 152, 352, 124, 324)(92, 292, 126, 326, 154, 354, 119, 319)(94, 294, 128, 328, 164, 364, 129, 329)(98, 298, 133, 333, 167, 367, 132, 332)(100, 300, 136, 336, 151, 351, 135, 335)(103, 303, 139, 339, 155, 355, 134, 334)(105, 305, 137, 337, 153, 353, 141, 341)(111, 311, 143, 343, 175, 375, 147, 347)(113, 313, 149, 349, 176, 376, 145, 345)(122, 322, 158, 358, 183, 383, 157, 357)(125, 325, 159, 359, 185, 385, 161, 361)(127, 327, 163, 363, 178, 378, 148, 348)(130, 330, 165, 365, 190, 390, 166, 366)(138, 338, 169, 369, 182, 382, 171, 371)(140, 340, 173, 373, 181, 381, 170, 370)(150, 350, 180, 380, 189, 389, 172, 372)(160, 360, 186, 386, 197, 397, 184, 384)(162, 362, 177, 377, 195, 395, 188, 388)(168, 368, 174, 374, 187, 387, 192, 392)(179, 379, 193, 393, 199, 399, 196, 396)(191, 391, 200, 400, 198, 398, 194, 394)(401, 601, 403, 603)(402, 602, 407, 607)(404, 604, 410, 610)(405, 605, 413, 613)(406, 606, 414, 614)(408, 608, 417, 617)(409, 609, 420, 620)(411, 611, 423, 623)(412, 612, 424, 624)(415, 615, 428, 628)(416, 616, 431, 631)(418, 618, 434, 634)(419, 619, 435, 635)(421, 621, 438, 638)(422, 622, 440, 640)(425, 625, 445, 645)(426, 626, 437, 637)(427, 627, 447, 647)(429, 629, 450, 650)(430, 630, 451, 651)(432, 632, 453, 653)(433, 633, 455, 655)(436, 636, 458, 658)(439, 639, 463, 663)(441, 641, 465, 665)(442, 642, 461, 661)(443, 643, 467, 667)(444, 644, 468, 668)(446, 646, 470, 670)(448, 648, 472, 672)(449, 649, 474, 674)(452, 652, 477, 677)(454, 654, 480, 680)(456, 656, 482, 682)(457, 657, 484, 684)(459, 659, 487, 687)(460, 660, 488, 688)(462, 662, 490, 690)(464, 664, 492, 692)(466, 666, 494, 694)(469, 669, 498, 698)(471, 671, 500, 700)(473, 673, 503, 703)(475, 675, 505, 705)(476, 676, 507, 707)(478, 678, 510, 710)(479, 679, 511, 711)(481, 681, 513, 713)(483, 683, 515, 715)(485, 685, 517, 717)(486, 686, 519, 719)(489, 689, 522, 722)(491, 691, 525, 725)(493, 693, 527, 727)(495, 695, 530, 730)(496, 696, 532, 732)(497, 697, 521, 721)(499, 699, 534, 734)(501, 701, 537, 737)(502, 702, 538, 738)(504, 704, 540, 740)(506, 706, 531, 731)(508, 708, 543, 743)(509, 709, 545, 745)(512, 712, 548, 748)(514, 714, 550, 750)(516, 716, 551, 751)(518, 718, 553, 753)(520, 720, 555, 755)(523, 723, 559, 759)(524, 724, 560, 760)(526, 726, 562, 762)(528, 728, 557, 757)(529, 729, 565, 765)(533, 733, 568, 768)(535, 735, 569, 769)(536, 736, 570, 770)(539, 739, 572, 772)(541, 741, 574, 774)(542, 742, 564, 764)(544, 744, 556, 756)(546, 746, 567, 767)(547, 747, 577, 777)(549, 749, 579, 779)(552, 752, 581, 781)(554, 754, 582, 782)(558, 758, 584, 784)(561, 761, 587, 787)(563, 763, 589, 789)(566, 766, 591, 791)(571, 771, 593, 793)(573, 773, 594, 794)(575, 775, 583, 783)(576, 776, 590, 790)(578, 778, 585, 785)(580, 780, 592, 792)(586, 786, 598, 798)(588, 788, 599, 799)(595, 795, 597, 797)(596, 796, 600, 800)
	L = (1, 404)(2, 408)(3, 410)(4, 401)(5, 412)(6, 415)(7, 417)(8, 402)(9, 421)(10, 403)(11, 422)(12, 405)(13, 424)(14, 428)(15, 406)(16, 432)(17, 407)(18, 433)(19, 436)(20, 438)(21, 409)(22, 411)(23, 440)(24, 413)(25, 443)(26, 442)(27, 448)(28, 414)(29, 449)(30, 452)(31, 453)(32, 416)(33, 418)(34, 455)(35, 458)(36, 419)(37, 461)(38, 420)(39, 462)(40, 423)(41, 464)(42, 426)(43, 425)(44, 466)(45, 467)(46, 471)(47, 472)(48, 427)(49, 429)(50, 474)(51, 477)(52, 430)(53, 431)(54, 479)(55, 434)(56, 481)(57, 485)(58, 435)(59, 486)(60, 489)(61, 437)(62, 439)(63, 490)(64, 441)(65, 492)(66, 444)(67, 445)(68, 494)(69, 495)(70, 500)(71, 446)(72, 447)(73, 502)(74, 450)(75, 504)(76, 508)(77, 451)(78, 509)(79, 454)(80, 511)(81, 456)(82, 513)(83, 516)(84, 517)(85, 457)(86, 459)(87, 519)(88, 522)(89, 460)(90, 463)(91, 524)(92, 465)(93, 526)(94, 468)(95, 469)(96, 529)(97, 528)(98, 530)(99, 535)(100, 470)(101, 536)(102, 473)(103, 538)(104, 475)(105, 540)(106, 542)(107, 543)(108, 476)(109, 478)(110, 545)(111, 480)(112, 547)(113, 482)(114, 549)(115, 551)(116, 483)(117, 484)(118, 552)(119, 487)(120, 554)(121, 557)(122, 488)(123, 558)(124, 491)(125, 560)(126, 493)(127, 562)(128, 497)(129, 496)(130, 498)(131, 564)(132, 565)(133, 566)(134, 569)(135, 499)(136, 501)(137, 570)(138, 503)(139, 571)(140, 505)(141, 573)(142, 506)(143, 507)(144, 575)(145, 510)(146, 576)(147, 512)(148, 577)(149, 514)(150, 579)(151, 515)(152, 518)(153, 581)(154, 520)(155, 582)(156, 583)(157, 521)(158, 523)(159, 584)(160, 525)(161, 586)(162, 527)(163, 588)(164, 531)(165, 532)(166, 533)(167, 590)(168, 591)(169, 534)(170, 537)(171, 539)(172, 593)(173, 541)(174, 594)(175, 544)(176, 546)(177, 548)(178, 595)(179, 550)(180, 596)(181, 553)(182, 555)(183, 556)(184, 559)(185, 597)(186, 561)(187, 598)(188, 563)(189, 599)(190, 567)(191, 568)(192, 600)(193, 572)(194, 574)(195, 578)(196, 580)(197, 585)(198, 587)(199, 589)(200, 592)(201, 601)(202, 602)(203, 603)(204, 604)(205, 605)(206, 606)(207, 607)(208, 608)(209, 609)(210, 610)(211, 611)(212, 612)(213, 613)(214, 614)(215, 615)(216, 616)(217, 617)(218, 618)(219, 619)(220, 620)(221, 621)(222, 622)(223, 623)(224, 624)(225, 625)(226, 626)(227, 627)(228, 628)(229, 629)(230, 630)(231, 631)(232, 632)(233, 633)(234, 634)(235, 635)(236, 636)(237, 637)(238, 638)(239, 639)(240, 640)(241, 641)(242, 642)(243, 643)(244, 644)(245, 645)(246, 646)(247, 647)(248, 648)(249, 649)(250, 650)(251, 651)(252, 652)(253, 653)(254, 654)(255, 655)(256, 656)(257, 657)(258, 658)(259, 659)(260, 660)(261, 661)(262, 662)(263, 663)(264, 664)(265, 665)(266, 666)(267, 667)(268, 668)(269, 669)(270, 670)(271, 671)(272, 672)(273, 673)(274, 674)(275, 675)(276, 676)(277, 677)(278, 678)(279, 679)(280, 680)(281, 681)(282, 682)(283, 683)(284, 684)(285, 685)(286, 686)(287, 687)(288, 688)(289, 689)(290, 690)(291, 691)(292, 692)(293, 693)(294, 694)(295, 695)(296, 696)(297, 697)(298, 698)(299, 699)(300, 700)(301, 701)(302, 702)(303, 703)(304, 704)(305, 705)(306, 706)(307, 707)(308, 708)(309, 709)(310, 710)(311, 711)(312, 712)(313, 713)(314, 714)(315, 715)(316, 716)(317, 717)(318, 718)(319, 719)(320, 720)(321, 721)(322, 722)(323, 723)(324, 724)(325, 725)(326, 726)(327, 727)(328, 728)(329, 729)(330, 730)(331, 731)(332, 732)(333, 733)(334, 734)(335, 735)(336, 736)(337, 737)(338, 738)(339, 739)(340, 740)(341, 741)(342, 742)(343, 743)(344, 744)(345, 745)(346, 746)(347, 747)(348, 748)(349, 749)(350, 750)(351, 751)(352, 752)(353, 753)(354, 754)(355, 755)(356, 756)(357, 757)(358, 758)(359, 759)(360, 760)(361, 761)(362, 762)(363, 763)(364, 764)(365, 765)(366, 766)(367, 767)(368, 768)(369, 769)(370, 770)(371, 771)(372, 772)(373, 773)(374, 774)(375, 775)(376, 776)(377, 777)(378, 778)(379, 779)(380, 780)(381, 781)(382, 782)(383, 783)(384, 784)(385, 785)(386, 786)(387, 787)(388, 788)(389, 789)(390, 790)(391, 791)(392, 792)(393, 793)(394, 794)(395, 795)(396, 796)(397, 797)(398, 798)(399, 799)(400, 800)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E26.1415
Graph:: simple bipartite
	v = 150 e = 400 f = 200
	degree seq :: [ 4^100, 8^50 ]

E26.1421 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {4, 4, 4})
Quotient :: edge
Aut^+ = (C5 x C5) : Q8 (small group id <200, 44>)
Aut   = (C5 x C5) : Q8 (small group id <200, 44>)
|r| :: 1
Presentation :: [ X2^4, X1^4, (X2^-1 * X1^-1)^4, (X1, X2)^2, (X2^-1 * X1)^4, X1^-1 * X2^2 * X1 * X2^2 * X1^-1 * X2^-1 * X1^-1 * X2, X2 * X1^2 * X2^-1 * X1^2 * X2^-2 * X1^-2, X2^-1 * X1^-1 * X2^-1 * X1 * X2^2 * X1^-1 * X2 * X1^-2 * X2 * X1^-1, X2 * X1^-2 * X2^2 * X1^-1 * X2^2 * X1^-2 * X2^-1 * X1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 6, 4)(3, 9, 23, 11)(5, 14, 35, 15)(7, 18, 45, 20)(8, 21, 52, 22)(10, 26, 63, 27)(12, 30, 72, 32)(13, 33, 78, 34)(16, 40, 90, 42)(17, 43, 97, 44)(19, 48, 107, 49)(24, 59, 126, 61)(25, 62, 114, 51)(28, 68, 119, 54)(29, 70, 143, 71)(31, 74, 103, 75)(36, 84, 121, 55)(37, 76, 151, 86)(38, 79, 153, 88)(39, 89, 105, 46)(41, 93, 58, 94)(47, 106, 172, 96)(50, 112, 175, 99)(53, 117, 177, 100)(56, 122, 164, 91)(57, 123, 82, 125)(60, 128, 198, 129)(64, 135, 174, 136)(65, 111, 191, 131)(66, 137, 176, 133)(67, 139, 192, 140)(69, 104, 182, 142)(73, 101, 178, 147)(77, 92, 165, 152)(80, 95, 170, 155)(81, 98, 173, 138)(83, 156, 162, 157)(85, 158, 166, 132)(87, 145, 168, 160)(102, 179, 115, 181)(108, 188, 154, 189)(109, 169, 130, 184)(110, 190, 127, 186)(113, 163, 161, 193)(116, 195, 146, 196)(118, 197, 148, 185)(120, 194, 149, 199)(124, 187, 134, 180)(141, 167, 150, 183)(144, 200, 159, 171)(201, 203, 210, 205)(202, 207, 219, 208)(204, 212, 231, 213)(206, 216, 241, 217)(209, 224, 260, 225)(211, 228, 269, 229)(214, 236, 285, 237)(215, 238, 287, 239)(218, 246, 304, 247)(220, 250, 313, 251)(221, 253, 318, 254)(222, 255, 320, 256)(223, 257, 324, 258)(226, 264, 317, 265)(227, 266, 338, 267)(230, 273, 344, 270)(232, 276, 329, 277)(233, 279, 354, 280)(234, 281, 327, 259)(235, 282, 297, 283)(240, 291, 363, 292)(242, 295, 371, 296)(243, 298, 374, 299)(244, 300, 376, 301)(245, 302, 380, 303)(248, 308, 373, 309)(249, 310, 288, 311)(252, 315, 278, 316)(261, 330, 370, 331)(262, 332, 372, 333)(263, 290, 362, 334)(268, 341, 364, 339)(271, 345, 365, 335)(272, 346, 387, 307)(274, 348, 284, 340)(275, 349, 377, 350)(286, 336, 379, 359)(289, 337, 395, 361)(293, 366, 353, 367)(294, 368, 321, 369)(305, 383, 351, 384)(306, 385, 352, 386)(312, 392, 347, 391)(314, 394, 343, 388)(319, 389, 357, 398)(322, 390, 325, 400)(323, 393, 355, 397)(326, 399, 356, 382)(328, 378, 360, 381)(342, 375, 358, 396)
	L = (1, 201)(2, 202)(3, 203)(4, 204)(5, 205)(6, 206)(7, 207)(8, 208)(9, 209)(10, 210)(11, 211)(12, 212)(13, 213)(14, 214)(15, 215)(16, 216)(17, 217)(18, 218)(19, 219)(20, 220)(21, 221)(22, 222)(23, 223)(24, 224)(25, 225)(26, 226)(27, 227)(28, 228)(29, 229)(30, 230)(31, 231)(32, 232)(33, 233)(34, 234)(35, 235)(36, 236)(37, 237)(38, 238)(39, 239)(40, 240)(41, 241)(42, 242)(43, 243)(44, 244)(45, 245)(46, 246)(47, 247)(48, 248)(49, 249)(50, 250)(51, 251)(52, 252)(53, 253)(54, 254)(55, 255)(56, 256)(57, 257)(58, 258)(59, 259)(60, 260)(61, 261)(62, 262)(63, 263)(64, 264)(65, 265)(66, 266)(67, 267)(68, 268)(69, 269)(70, 270)(71, 271)(72, 272)(73, 273)(74, 274)(75, 275)(76, 276)(77, 277)(78, 278)(79, 279)(80, 280)(81, 281)(82, 282)(83, 283)(84, 284)(85, 285)(86, 286)(87, 287)(88, 288)(89, 289)(90, 290)(91, 291)(92, 292)(93, 293)(94, 294)(95, 295)(96, 296)(97, 297)(98, 298)(99, 299)(100, 300)(101, 301)(102, 302)(103, 303)(104, 304)(105, 305)(106, 306)(107, 307)(108, 308)(109, 309)(110, 310)(111, 311)(112, 312)(113, 313)(114, 314)(115, 315)(116, 316)(117, 317)(118, 318)(119, 319)(120, 320)(121, 321)(122, 322)(123, 323)(124, 324)(125, 325)(126, 326)(127, 327)(128, 328)(129, 329)(130, 330)(131, 331)(132, 332)(133, 333)(134, 334)(135, 335)(136, 336)(137, 337)(138, 338)(139, 339)(140, 340)(141, 341)(142, 342)(143, 343)(144, 344)(145, 345)(146, 346)(147, 347)(148, 348)(149, 349)(150, 350)(151, 351)(152, 352)(153, 353)(154, 354)(155, 355)(156, 356)(157, 357)(158, 358)(159, 359)(160, 360)(161, 361)(162, 362)(163, 363)(164, 364)(165, 365)(166, 366)(167, 367)(168, 368)(169, 369)(170, 370)(171, 371)(172, 372)(173, 373)(174, 374)(175, 375)(176, 376)(177, 377)(178, 378)(179, 379)(180, 380)(181, 381)(182, 382)(183, 383)(184, 384)(185, 385)(186, 386)(187, 387)(188, 388)(189, 389)(190, 390)(191, 391)(192, 392)(193, 393)(194, 394)(195, 395)(196, 396)(197, 397)(198, 398)(199, 399)(200, 400)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: chiral
Dual of E26.1422
Transitivity :: ET+
Graph:: simple bipartite
	v = 100 e = 200 f = 50
	degree seq :: [ 4^100 ]

E26.1422 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {4, 4, 4})
Quotient :: loop
Aut^+ = (C5 x C5) : Q8 (small group id <200, 44>)
Aut   = (C5 x C5) : Q8 (small group id <200, 44>)
|r| :: 1
Presentation :: [ X2^4, X1^4, (X2^-1 * X1^-1)^4, (X1, X2)^2, (X2^-1 * X1)^4, X1^-1 * X2^2 * X1 * X2^2 * X1^-1 * X2^-1 * X1^-1 * X2, X2 * X1^2 * X2^-1 * X1^2 * X2^-2 * X1^-2, X2^-1 * X1^-1 * X2^-1 * X1 * X2^2 * X1^-1 * X2 * X1^-2 * X2 * X1^-1, X2 * X1^-2 * X2^2 * X1^-1 * X2^2 * X1^-2 * X2^-1 * X1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 201, 2, 202, 6, 206, 4, 204)(3, 203, 9, 209, 23, 223, 11, 211)(5, 205, 14, 214, 35, 235, 15, 215)(7, 207, 18, 218, 45, 245, 20, 220)(8, 208, 21, 221, 52, 252, 22, 222)(10, 210, 26, 226, 63, 263, 27, 227)(12, 212, 30, 230, 72, 272, 32, 232)(13, 213, 33, 233, 78, 278, 34, 234)(16, 216, 40, 240, 90, 290, 42, 242)(17, 217, 43, 243, 97, 297, 44, 244)(19, 219, 48, 248, 107, 307, 49, 249)(24, 224, 59, 259, 126, 326, 61, 261)(25, 225, 62, 262, 114, 314, 51, 251)(28, 228, 68, 268, 119, 319, 54, 254)(29, 229, 70, 270, 143, 343, 71, 271)(31, 231, 74, 274, 103, 303, 75, 275)(36, 236, 84, 284, 121, 321, 55, 255)(37, 237, 76, 276, 151, 351, 86, 286)(38, 238, 79, 279, 153, 353, 88, 288)(39, 239, 89, 289, 105, 305, 46, 246)(41, 241, 93, 293, 58, 258, 94, 294)(47, 247, 106, 306, 172, 372, 96, 296)(50, 250, 112, 312, 175, 375, 99, 299)(53, 253, 117, 317, 177, 377, 100, 300)(56, 256, 122, 322, 164, 364, 91, 291)(57, 257, 123, 323, 82, 282, 125, 325)(60, 260, 128, 328, 198, 398, 129, 329)(64, 264, 135, 335, 174, 374, 136, 336)(65, 265, 111, 311, 191, 391, 131, 331)(66, 266, 137, 337, 176, 376, 133, 333)(67, 267, 139, 339, 192, 392, 140, 340)(69, 269, 104, 304, 182, 382, 142, 342)(73, 273, 101, 301, 178, 378, 147, 347)(77, 277, 92, 292, 165, 365, 152, 352)(80, 280, 95, 295, 170, 370, 155, 355)(81, 281, 98, 298, 173, 373, 138, 338)(83, 283, 156, 356, 162, 362, 157, 357)(85, 285, 158, 358, 166, 366, 132, 332)(87, 287, 145, 345, 168, 368, 160, 360)(102, 302, 179, 379, 115, 315, 181, 381)(108, 308, 188, 388, 154, 354, 189, 389)(109, 309, 169, 369, 130, 330, 184, 384)(110, 310, 190, 390, 127, 327, 186, 386)(113, 313, 163, 363, 161, 361, 193, 393)(116, 316, 195, 395, 146, 346, 196, 396)(118, 318, 197, 397, 148, 348, 185, 385)(120, 320, 194, 394, 149, 349, 199, 399)(124, 324, 187, 387, 134, 334, 180, 380)(141, 341, 167, 367, 150, 350, 183, 383)(144, 344, 200, 400, 159, 359, 171, 371)
	L = (1, 203)(2, 207)(3, 210)(4, 212)(5, 201)(6, 216)(7, 219)(8, 202)(9, 224)(10, 205)(11, 228)(12, 231)(13, 204)(14, 236)(15, 238)(16, 241)(17, 206)(18, 246)(19, 208)(20, 250)(21, 253)(22, 255)(23, 257)(24, 260)(25, 209)(26, 264)(27, 266)(28, 269)(29, 211)(30, 273)(31, 213)(32, 276)(33, 279)(34, 281)(35, 282)(36, 285)(37, 214)(38, 287)(39, 215)(40, 291)(41, 217)(42, 295)(43, 298)(44, 300)(45, 302)(46, 304)(47, 218)(48, 308)(49, 310)(50, 313)(51, 220)(52, 315)(53, 318)(54, 221)(55, 320)(56, 222)(57, 324)(58, 223)(59, 234)(60, 225)(61, 330)(62, 332)(63, 290)(64, 317)(65, 226)(66, 338)(67, 227)(68, 341)(69, 229)(70, 230)(71, 345)(72, 346)(73, 344)(74, 348)(75, 349)(76, 329)(77, 232)(78, 316)(79, 354)(80, 233)(81, 327)(82, 297)(83, 235)(84, 340)(85, 237)(86, 336)(87, 239)(88, 311)(89, 337)(90, 362)(91, 363)(92, 240)(93, 366)(94, 368)(95, 371)(96, 242)(97, 283)(98, 374)(99, 243)(100, 376)(101, 244)(102, 380)(103, 245)(104, 247)(105, 383)(106, 385)(107, 272)(108, 373)(109, 248)(110, 288)(111, 249)(112, 392)(113, 251)(114, 394)(115, 278)(116, 252)(117, 265)(118, 254)(119, 389)(120, 256)(121, 369)(122, 390)(123, 393)(124, 258)(125, 400)(126, 399)(127, 259)(128, 378)(129, 277)(130, 370)(131, 261)(132, 372)(133, 262)(134, 263)(135, 271)(136, 379)(137, 395)(138, 267)(139, 268)(140, 274)(141, 364)(142, 375)(143, 388)(144, 270)(145, 365)(146, 387)(147, 391)(148, 284)(149, 377)(150, 275)(151, 384)(152, 386)(153, 367)(154, 280)(155, 397)(156, 382)(157, 398)(158, 396)(159, 286)(160, 381)(161, 289)(162, 334)(163, 292)(164, 339)(165, 335)(166, 353)(167, 293)(168, 321)(169, 294)(170, 331)(171, 296)(172, 333)(173, 309)(174, 299)(175, 358)(176, 301)(177, 350)(178, 360)(179, 359)(180, 303)(181, 328)(182, 326)(183, 351)(184, 305)(185, 352)(186, 306)(187, 307)(188, 314)(189, 357)(190, 325)(191, 312)(192, 347)(193, 355)(194, 343)(195, 361)(196, 342)(197, 323)(198, 319)(199, 356)(200, 322)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: chiral
Dual of E26.1421
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 50 e = 200 f = 100
	degree seq :: [ 8^50 ]

E26.1423 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 4})
Quotient :: edge
Aut^+ = (C5 x C5) : Q8 (small group id <200, 44>)
Aut   = (((C5 x C5) : C4) : C2) : C2 (small group id <400, 207>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2^4, (T2 * T1^-1)^4, (T2 * T1)^4, (T2^-1, T1^-1)^2, T1^-1 * T2^-2 * T1 * T2^-2 * T1^-1 * T2 * T1 * T2, T2 * T1^-1 * T2^-1 * T1^-2 * T2 * T1^-2 * T2^-1 * T1^-1, T1^-1 * T2^-1 * T1 * T2^2 * T1^-1 * T2^2 * T1 * T2^-1, T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^2 * T1^2 * T2 * T1^-1, T2 * T1^-2 * T2 * T1^2 * T2^2 * T1 * T2^-1 * T1 * T2 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 10, 5)(2, 7, 19, 8)(4, 12, 31, 13)(6, 16, 41, 17)(9, 24, 60, 25)(11, 28, 69, 29)(14, 36, 85, 37)(15, 38, 87, 39)(18, 46, 104, 47)(20, 50, 113, 51)(21, 53, 118, 54)(22, 55, 120, 56)(23, 57, 124, 58)(26, 64, 122, 65)(27, 66, 138, 67)(30, 73, 144, 70)(32, 76, 152, 77)(33, 79, 142, 80)(34, 81, 128, 59)(35, 82, 156, 83)(40, 91, 163, 92)(42, 95, 171, 96)(43, 98, 175, 99)(44, 100, 177, 101)(45, 102, 180, 103)(48, 108, 178, 109)(49, 110, 61, 111)(52, 115, 195, 116)(62, 90, 162, 131)(63, 132, 179, 133)(68, 141, 176, 139)(71, 145, 174, 134)(72, 146, 184, 106)(74, 148, 89, 137)(75, 149, 164, 150)(78, 121, 189, 153)(84, 140, 172, 159)(86, 135, 170, 130)(88, 136, 173, 97)(93, 166, 127, 167)(94, 168, 105, 169)(107, 185, 158, 186)(112, 192, 155, 190)(114, 194, 154, 187)(117, 191, 126, 198)(119, 188, 151, 183)(123, 193, 147, 199)(125, 200, 157, 182)(129, 196, 161, 181)(143, 165, 160, 197)(201, 202, 206, 204)(203, 209, 223, 211)(205, 214, 235, 215)(207, 218, 245, 220)(208, 221, 252, 222)(210, 226, 263, 227)(212, 230, 272, 232)(213, 233, 278, 234)(216, 240, 290, 242)(217, 243, 297, 244)(219, 248, 307, 249)(224, 259, 327, 261)(225, 262, 314, 251)(228, 268, 319, 254)(229, 270, 303, 271)(231, 274, 347, 275)(236, 284, 321, 255)(237, 276, 351, 286)(238, 279, 354, 288)(239, 289, 305, 246)(241, 293, 365, 294)(247, 306, 372, 296)(250, 312, 376, 299)(253, 317, 282, 300)(256, 322, 364, 291)(257, 323, 373, 325)(258, 326, 277, 292)(260, 329, 377, 330)(264, 334, 369, 335)(265, 336, 384, 310)(266, 337, 395, 331)(267, 339, 366, 340)(269, 342, 385, 343)(273, 301, 378, 338)(280, 295, 370, 355)(281, 298, 374, 315)(283, 357, 362, 358)(285, 360, 393, 313)(287, 341, 363, 361)(302, 379, 353, 381)(304, 382, 328, 383)(308, 387, 350, 388)(309, 389, 324, 368)(311, 390, 348, 391)(316, 396, 346, 397)(318, 399, 333, 371)(320, 392, 344, 400)(332, 386, 352, 375)(345, 398, 359, 394)(349, 367, 356, 380)
	L = (1, 201)(2, 202)(3, 203)(4, 204)(5, 205)(6, 206)(7, 207)(8, 208)(9, 209)(10, 210)(11, 211)(12, 212)(13, 213)(14, 214)(15, 215)(16, 216)(17, 217)(18, 218)(19, 219)(20, 220)(21, 221)(22, 222)(23, 223)(24, 224)(25, 225)(26, 226)(27, 227)(28, 228)(29, 229)(30, 230)(31, 231)(32, 232)(33, 233)(34, 234)(35, 235)(36, 236)(37, 237)(38, 238)(39, 239)(40, 240)(41, 241)(42, 242)(43, 243)(44, 244)(45, 245)(46, 246)(47, 247)(48, 248)(49, 249)(50, 250)(51, 251)(52, 252)(53, 253)(54, 254)(55, 255)(56, 256)(57, 257)(58, 258)(59, 259)(60, 260)(61, 261)(62, 262)(63, 263)(64, 264)(65, 265)(66, 266)(67, 267)(68, 268)(69, 269)(70, 270)(71, 271)(72, 272)(73, 273)(74, 274)(75, 275)(76, 276)(77, 277)(78, 278)(79, 279)(80, 280)(81, 281)(82, 282)(83, 283)(84, 284)(85, 285)(86, 286)(87, 287)(88, 288)(89, 289)(90, 290)(91, 291)(92, 292)(93, 293)(94, 294)(95, 295)(96, 296)(97, 297)(98, 298)(99, 299)(100, 300)(101, 301)(102, 302)(103, 303)(104, 304)(105, 305)(106, 306)(107, 307)(108, 308)(109, 309)(110, 310)(111, 311)(112, 312)(113, 313)(114, 314)(115, 315)(116, 316)(117, 317)(118, 318)(119, 319)(120, 320)(121, 321)(122, 322)(123, 323)(124, 324)(125, 325)(126, 326)(127, 327)(128, 328)(129, 329)(130, 330)(131, 331)(132, 332)(133, 333)(134, 334)(135, 335)(136, 336)(137, 337)(138, 338)(139, 339)(140, 340)(141, 341)(142, 342)(143, 343)(144, 344)(145, 345)(146, 346)(147, 347)(148, 348)(149, 349)(150, 350)(151, 351)(152, 352)(153, 353)(154, 354)(155, 355)(156, 356)(157, 357)(158, 358)(159, 359)(160, 360)(161, 361)(162, 362)(163, 363)(164, 364)(165, 365)(166, 366)(167, 367)(168, 368)(169, 369)(170, 370)(171, 371)(172, 372)(173, 373)(174, 374)(175, 375)(176, 376)(177, 377)(178, 378)(179, 379)(180, 380)(181, 381)(182, 382)(183, 383)(184, 384)(185, 385)(186, 386)(187, 387)(188, 388)(189, 389)(190, 390)(191, 391)(192, 392)(193, 393)(194, 394)(195, 395)(196, 396)(197, 397)(198, 398)(199, 399)(200, 400)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E26.1424
Transitivity :: ET+
Graph:: simple bipartite
	v = 100 e = 200 f = 50
	degree seq :: [ 4^100 ]

E26.1424 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 4})
Quotient :: loop
Aut^+ = (C5 x C5) : Q8 (small group id <200, 44>)
Aut   = (((C5 x C5) : C4) : C2) : C2 (small group id <400, 207>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2^4, (T2 * T1^-1)^4, (T2 * T1)^4, (T2^-1, T1^-1)^2, T1^-1 * T2^-2 * T1 * T2^-2 * T1^-1 * T2 * T1 * T2, T2 * T1^-1 * T2^-1 * T1^-2 * T2 * T1^-2 * T2^-1 * T1^-1, T1^-1 * T2^-1 * T1 * T2^2 * T1^-1 * T2^2 * T1 * T2^-1, T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^2 * T1^2 * T2 * T1^-1, T2 * T1^-2 * T2 * T1^2 * T2^2 * T1 * T2^-1 * T1 * T2 ]
Map:: polyhedral non-degenerate
	R = (1, 201, 3, 203, 10, 210, 5, 205)(2, 202, 7, 207, 19, 219, 8, 208)(4, 204, 12, 212, 31, 231, 13, 213)(6, 206, 16, 216, 41, 241, 17, 217)(9, 209, 24, 224, 60, 260, 25, 225)(11, 211, 28, 228, 69, 269, 29, 229)(14, 214, 36, 236, 85, 285, 37, 237)(15, 215, 38, 238, 87, 287, 39, 239)(18, 218, 46, 246, 104, 304, 47, 247)(20, 220, 50, 250, 113, 313, 51, 251)(21, 221, 53, 253, 118, 318, 54, 254)(22, 222, 55, 255, 120, 320, 56, 256)(23, 223, 57, 257, 124, 324, 58, 258)(26, 226, 64, 264, 122, 322, 65, 265)(27, 227, 66, 266, 138, 338, 67, 267)(30, 230, 73, 273, 144, 344, 70, 270)(32, 232, 76, 276, 152, 352, 77, 277)(33, 233, 79, 279, 142, 342, 80, 280)(34, 234, 81, 281, 128, 328, 59, 259)(35, 235, 82, 282, 156, 356, 83, 283)(40, 240, 91, 291, 163, 363, 92, 292)(42, 242, 95, 295, 171, 371, 96, 296)(43, 243, 98, 298, 175, 375, 99, 299)(44, 244, 100, 300, 177, 377, 101, 301)(45, 245, 102, 302, 180, 380, 103, 303)(48, 248, 108, 308, 178, 378, 109, 309)(49, 249, 110, 310, 61, 261, 111, 311)(52, 252, 115, 315, 195, 395, 116, 316)(62, 262, 90, 290, 162, 362, 131, 331)(63, 263, 132, 332, 179, 379, 133, 333)(68, 268, 141, 341, 176, 376, 139, 339)(71, 271, 145, 345, 174, 374, 134, 334)(72, 272, 146, 346, 184, 384, 106, 306)(74, 274, 148, 348, 89, 289, 137, 337)(75, 275, 149, 349, 164, 364, 150, 350)(78, 278, 121, 321, 189, 389, 153, 353)(84, 284, 140, 340, 172, 372, 159, 359)(86, 286, 135, 335, 170, 370, 130, 330)(88, 288, 136, 336, 173, 373, 97, 297)(93, 293, 166, 366, 127, 327, 167, 367)(94, 294, 168, 368, 105, 305, 169, 369)(107, 307, 185, 385, 158, 358, 186, 386)(112, 312, 192, 392, 155, 355, 190, 390)(114, 314, 194, 394, 154, 354, 187, 387)(117, 317, 191, 391, 126, 326, 198, 398)(119, 319, 188, 388, 151, 351, 183, 383)(123, 323, 193, 393, 147, 347, 199, 399)(125, 325, 200, 400, 157, 357, 182, 382)(129, 329, 196, 396, 161, 361, 181, 381)(143, 343, 165, 365, 160, 360, 197, 397)
	L = (1, 202)(2, 206)(3, 209)(4, 201)(5, 214)(6, 204)(7, 218)(8, 221)(9, 223)(10, 226)(11, 203)(12, 230)(13, 233)(14, 235)(15, 205)(16, 240)(17, 243)(18, 245)(19, 248)(20, 207)(21, 252)(22, 208)(23, 211)(24, 259)(25, 262)(26, 263)(27, 210)(28, 268)(29, 270)(30, 272)(31, 274)(32, 212)(33, 278)(34, 213)(35, 215)(36, 284)(37, 276)(38, 279)(39, 289)(40, 290)(41, 293)(42, 216)(43, 297)(44, 217)(45, 220)(46, 239)(47, 306)(48, 307)(49, 219)(50, 312)(51, 225)(52, 222)(53, 317)(54, 228)(55, 236)(56, 322)(57, 323)(58, 326)(59, 327)(60, 329)(61, 224)(62, 314)(63, 227)(64, 334)(65, 336)(66, 337)(67, 339)(68, 319)(69, 342)(70, 303)(71, 229)(72, 232)(73, 301)(74, 347)(75, 231)(76, 351)(77, 292)(78, 234)(79, 354)(80, 295)(81, 298)(82, 300)(83, 357)(84, 321)(85, 360)(86, 237)(87, 341)(88, 238)(89, 305)(90, 242)(91, 256)(92, 258)(93, 365)(94, 241)(95, 370)(96, 247)(97, 244)(98, 374)(99, 250)(100, 253)(101, 378)(102, 379)(103, 271)(104, 382)(105, 246)(106, 372)(107, 249)(108, 387)(109, 389)(110, 265)(111, 390)(112, 376)(113, 285)(114, 251)(115, 281)(116, 396)(117, 282)(118, 399)(119, 254)(120, 392)(121, 255)(122, 364)(123, 373)(124, 368)(125, 257)(126, 277)(127, 261)(128, 383)(129, 377)(130, 260)(131, 266)(132, 386)(133, 371)(134, 369)(135, 264)(136, 384)(137, 395)(138, 273)(139, 366)(140, 267)(141, 363)(142, 385)(143, 269)(144, 400)(145, 398)(146, 397)(147, 275)(148, 391)(149, 367)(150, 388)(151, 286)(152, 375)(153, 381)(154, 288)(155, 280)(156, 380)(157, 362)(158, 283)(159, 394)(160, 393)(161, 287)(162, 358)(163, 361)(164, 291)(165, 294)(166, 340)(167, 356)(168, 309)(169, 335)(170, 355)(171, 318)(172, 296)(173, 325)(174, 315)(175, 332)(176, 299)(177, 330)(178, 338)(179, 353)(180, 349)(181, 302)(182, 328)(183, 304)(184, 310)(185, 343)(186, 352)(187, 350)(188, 308)(189, 324)(190, 348)(191, 311)(192, 344)(193, 313)(194, 345)(195, 331)(196, 346)(197, 316)(198, 359)(199, 333)(200, 320)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E26.1423
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 50 e = 200 f = 100
	degree seq :: [ 8^50 ]

E26.1425 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4})
Quotient :: dipole
Aut^+ = (C5 x C5) : Q8 (small group id <200, 44>)
Aut   = (((C5 x C5) : C4) : C2) : C2 (small group id <400, 207>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3 * Y1, Y3 * Y1, Y1^-1 * Y3^-1, Y1 * Y3^-1 * Y1^2, (R * Y1)^2, Y2^4, (R * Y3)^2, Y3 * Y2 * Y3 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, (R * Y2^-1 * Y3^-1)^2, Y1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2, Y3 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2, Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y3^-1, Y3 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2, Y2 * Y3^2 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y1^-2, Y3 * Y2 * Y3^2 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2^-1 * Y3^2 * Y2 * Y1^-2 * Y2^-1 * Y1^-1, Y2^2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-2 * Y1^-1, Y3 * Y2^-1 * Y1 * Y2^2 * Y1^-1 * Y2^2 * Y3^-1 * Y2^-1, Y2^-1 * Y3^-1 * Y2^2 * Y1^2 * Y2 * Y1^-2 * Y2^2 * Y1, Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^2 * Y1^-2 * Y2 * Y1^-1 ]
Map::
	R = (1, 201, 2, 202, 6, 206, 4, 204)(3, 203, 9, 209, 23, 223, 11, 211)(5, 205, 14, 214, 35, 235, 15, 215)(7, 207, 18, 218, 45, 245, 20, 220)(8, 208, 21, 221, 52, 252, 22, 222)(10, 210, 26, 226, 63, 263, 27, 227)(12, 212, 30, 230, 72, 272, 32, 232)(13, 213, 33, 233, 78, 278, 34, 234)(16, 216, 40, 240, 90, 290, 42, 242)(17, 217, 43, 243, 97, 297, 44, 244)(19, 219, 48, 248, 107, 307, 49, 249)(24, 224, 59, 259, 127, 327, 61, 261)(25, 225, 62, 262, 114, 314, 51, 251)(28, 228, 68, 268, 119, 319, 54, 254)(29, 229, 70, 270, 103, 303, 71, 271)(31, 231, 74, 274, 147, 347, 75, 275)(36, 236, 84, 284, 121, 321, 55, 255)(37, 237, 76, 276, 151, 351, 86, 286)(38, 238, 79, 279, 154, 354, 88, 288)(39, 239, 89, 289, 105, 305, 46, 246)(41, 241, 93, 293, 165, 365, 94, 294)(47, 247, 106, 306, 172, 372, 96, 296)(50, 250, 112, 312, 176, 376, 99, 299)(53, 253, 117, 317, 82, 282, 100, 300)(56, 256, 122, 322, 164, 364, 91, 291)(57, 257, 123, 323, 173, 373, 125, 325)(58, 258, 126, 326, 77, 277, 92, 292)(60, 260, 129, 329, 177, 377, 130, 330)(64, 264, 134, 334, 169, 369, 135, 335)(65, 265, 136, 336, 184, 384, 110, 310)(66, 266, 137, 337, 195, 395, 131, 331)(67, 267, 139, 339, 166, 366, 140, 340)(69, 269, 142, 342, 185, 385, 143, 343)(73, 273, 101, 301, 178, 378, 138, 338)(80, 280, 95, 295, 170, 370, 155, 355)(81, 281, 98, 298, 174, 374, 115, 315)(83, 283, 157, 357, 162, 362, 158, 358)(85, 285, 160, 360, 193, 393, 113, 313)(87, 287, 141, 341, 163, 363, 161, 361)(102, 302, 179, 379, 153, 353, 181, 381)(104, 304, 182, 382, 128, 328, 183, 383)(108, 308, 187, 387, 150, 350, 188, 388)(109, 309, 189, 389, 124, 324, 168, 368)(111, 311, 190, 390, 148, 348, 191, 391)(116, 316, 196, 396, 146, 346, 197, 397)(118, 318, 199, 399, 133, 333, 171, 371)(120, 320, 192, 392, 144, 344, 200, 400)(132, 332, 186, 386, 152, 352, 175, 375)(145, 345, 198, 398, 159, 359, 194, 394)(149, 349, 167, 367, 156, 356, 180, 380)(401, 601, 403, 603, 410, 610, 405, 605)(402, 602, 407, 607, 419, 619, 408, 608)(404, 604, 412, 612, 431, 631, 413, 613)(406, 606, 416, 616, 441, 641, 417, 617)(409, 609, 424, 624, 460, 660, 425, 625)(411, 611, 428, 628, 469, 669, 429, 629)(414, 614, 436, 636, 485, 685, 437, 637)(415, 615, 438, 638, 487, 687, 439, 639)(418, 618, 446, 646, 504, 704, 447, 647)(420, 620, 450, 650, 513, 713, 451, 651)(421, 621, 453, 653, 518, 718, 454, 654)(422, 622, 455, 655, 520, 720, 456, 656)(423, 623, 457, 657, 524, 724, 458, 658)(426, 626, 464, 664, 522, 722, 465, 665)(427, 627, 466, 666, 538, 738, 467, 667)(430, 630, 473, 673, 544, 744, 470, 670)(432, 632, 476, 676, 552, 752, 477, 677)(433, 633, 479, 679, 542, 742, 480, 680)(434, 634, 481, 681, 528, 728, 459, 659)(435, 635, 482, 682, 556, 756, 483, 683)(440, 640, 491, 691, 563, 763, 492, 692)(442, 642, 495, 695, 571, 771, 496, 696)(443, 643, 498, 698, 575, 775, 499, 699)(444, 644, 500, 700, 577, 777, 501, 701)(445, 645, 502, 702, 580, 780, 503, 703)(448, 648, 508, 708, 578, 778, 509, 709)(449, 649, 510, 710, 461, 661, 511, 711)(452, 652, 515, 715, 595, 795, 516, 716)(462, 662, 490, 690, 562, 762, 531, 731)(463, 663, 532, 732, 579, 779, 533, 733)(468, 668, 541, 741, 576, 776, 539, 739)(471, 671, 545, 745, 574, 774, 534, 734)(472, 672, 546, 746, 584, 784, 506, 706)(474, 674, 548, 748, 489, 689, 537, 737)(475, 675, 549, 749, 564, 764, 550, 750)(478, 678, 521, 721, 589, 789, 553, 753)(484, 684, 540, 740, 572, 772, 559, 759)(486, 686, 535, 735, 570, 770, 530, 730)(488, 688, 536, 736, 573, 773, 497, 697)(493, 693, 566, 766, 527, 727, 567, 767)(494, 694, 568, 768, 505, 705, 569, 769)(507, 707, 585, 785, 558, 758, 586, 786)(512, 712, 592, 792, 555, 755, 590, 790)(514, 714, 594, 794, 554, 754, 587, 787)(517, 717, 591, 791, 526, 726, 598, 798)(519, 719, 588, 788, 551, 751, 583, 783)(523, 723, 593, 793, 547, 747, 599, 799)(525, 725, 600, 800, 557, 757, 582, 782)(529, 729, 596, 796, 561, 761, 581, 781)(543, 743, 565, 765, 560, 760, 597, 797)
	L = (1, 404)(2, 401)(3, 411)(4, 406)(5, 415)(6, 402)(7, 420)(8, 422)(9, 403)(10, 427)(11, 423)(12, 432)(13, 434)(14, 405)(15, 435)(16, 442)(17, 444)(18, 407)(19, 449)(20, 445)(21, 408)(22, 452)(23, 409)(24, 461)(25, 451)(26, 410)(27, 463)(28, 454)(29, 471)(30, 412)(31, 475)(32, 472)(33, 413)(34, 478)(35, 414)(36, 455)(37, 486)(38, 488)(39, 446)(40, 416)(41, 494)(42, 490)(43, 417)(44, 497)(45, 418)(46, 505)(47, 496)(48, 419)(49, 507)(50, 499)(51, 514)(52, 421)(53, 500)(54, 519)(55, 521)(56, 491)(57, 525)(58, 492)(59, 424)(60, 530)(61, 527)(62, 425)(63, 426)(64, 535)(65, 510)(66, 531)(67, 540)(68, 428)(69, 543)(70, 429)(71, 503)(72, 430)(73, 538)(74, 431)(75, 547)(76, 437)(77, 526)(78, 433)(79, 438)(80, 555)(81, 515)(82, 517)(83, 558)(84, 436)(85, 513)(86, 551)(87, 561)(88, 554)(89, 439)(90, 440)(91, 564)(92, 477)(93, 441)(94, 565)(95, 480)(96, 572)(97, 443)(98, 481)(99, 576)(100, 482)(101, 473)(102, 581)(103, 470)(104, 583)(105, 489)(106, 447)(107, 448)(108, 588)(109, 568)(110, 584)(111, 591)(112, 450)(113, 593)(114, 462)(115, 574)(116, 597)(117, 453)(118, 571)(119, 468)(120, 600)(121, 484)(122, 456)(123, 457)(124, 589)(125, 573)(126, 458)(127, 459)(128, 582)(129, 460)(130, 577)(131, 595)(132, 575)(133, 599)(134, 464)(135, 569)(136, 465)(137, 466)(138, 578)(139, 467)(140, 566)(141, 487)(142, 469)(143, 585)(144, 592)(145, 594)(146, 596)(147, 474)(148, 590)(149, 580)(150, 587)(151, 476)(152, 586)(153, 579)(154, 479)(155, 570)(156, 567)(157, 483)(158, 562)(159, 598)(160, 485)(161, 563)(162, 557)(163, 541)(164, 522)(165, 493)(166, 539)(167, 549)(168, 524)(169, 534)(170, 495)(171, 533)(172, 506)(173, 523)(174, 498)(175, 552)(176, 512)(177, 529)(178, 501)(179, 502)(180, 556)(181, 553)(182, 504)(183, 528)(184, 536)(185, 542)(186, 532)(187, 508)(188, 550)(189, 509)(190, 511)(191, 548)(192, 520)(193, 560)(194, 559)(195, 537)(196, 516)(197, 546)(198, 545)(199, 518)(200, 544)(201, 601)(202, 602)(203, 603)(204, 604)(205, 605)(206, 606)(207, 607)(208, 608)(209, 609)(210, 610)(211, 611)(212, 612)(213, 613)(214, 614)(215, 615)(216, 616)(217, 617)(218, 618)(219, 619)(220, 620)(221, 621)(222, 622)(223, 623)(224, 624)(225, 625)(226, 626)(227, 627)(228, 628)(229, 629)(230, 630)(231, 631)(232, 632)(233, 633)(234, 634)(235, 635)(236, 636)(237, 637)(238, 638)(239, 639)(240, 640)(241, 641)(242, 642)(243, 643)(244, 644)(245, 645)(246, 646)(247, 647)(248, 648)(249, 649)(250, 650)(251, 651)(252, 652)(253, 653)(254, 654)(255, 655)(256, 656)(257, 657)(258, 658)(259, 659)(260, 660)(261, 661)(262, 662)(263, 663)(264, 664)(265, 665)(266, 666)(267, 667)(268, 668)(269, 669)(270, 670)(271, 671)(272, 672)(273, 673)(274, 674)(275, 675)(276, 676)(277, 677)(278, 678)(279, 679)(280, 680)(281, 681)(282, 682)(283, 683)(284, 684)(285, 685)(286, 686)(287, 687)(288, 688)(289, 689)(290, 690)(291, 691)(292, 692)(293, 693)(294, 694)(295, 695)(296, 696)(297, 697)(298, 698)(299, 699)(300, 700)(301, 701)(302, 702)(303, 703)(304, 704)(305, 705)(306, 706)(307, 707)(308, 708)(309, 709)(310, 710)(311, 711)(312, 712)(313, 713)(314, 714)(315, 715)(316, 716)(317, 717)(318, 718)(319, 719)(320, 720)(321, 721)(322, 722)(323, 723)(324, 724)(325, 725)(326, 726)(327, 727)(328, 728)(329, 729)(330, 730)(331, 731)(332, 732)(333, 733)(334, 734)(335, 735)(336, 736)(337, 737)(338, 738)(339, 739)(340, 740)(341, 741)(342, 742)(343, 743)(344, 744)(345, 745)(346, 746)(347, 747)(348, 748)(349, 749)(350, 750)(351, 751)(352, 752)(353, 753)(354, 754)(355, 755)(356, 756)(357, 757)(358, 758)(359, 759)(360, 760)(361, 761)(362, 762)(363, 763)(364, 764)(365, 765)(366, 766)(367, 767)(368, 768)(369, 769)(370, 770)(371, 771)(372, 772)(373, 773)(374, 774)(375, 775)(376, 776)(377, 777)(378, 778)(379, 779)(380, 780)(381, 781)(382, 782)(383, 783)(384, 784)(385, 785)(386, 786)(387, 787)(388, 788)(389, 789)(390, 790)(391, 791)(392, 792)(393, 793)(394, 794)(395, 795)(396, 796)(397, 797)(398, 798)(399, 799)(400, 800)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E26.1426
Graph:: bipartite
	v = 100 e = 400 f = 250
	degree seq :: [ 8^100 ]

E26.1426 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4})
Quotient :: dipole
Aut^+ = (C5 x C5) : Q8 (small group id <200, 44>)
Aut   = (((C5 x C5) : C4) : C2) : C2 (small group id <400, 207>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3^4, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3, Y2)^2, (Y3 * Y2^-1)^4, (Y3 * Y2)^4, (Y3^-1, Y2)^2, (Y3^-1 * Y1^-1)^4, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^3 * Y3 * Y2^-1, Y3 * Y2^-2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-2, Y3^2 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-2 * Y2^-1, Y3 * Y2^-2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3^2 * Y2^-2, Y3 * Y2^2 * Y3^-1 * Y2 * Y3^2 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal
	R = (1, 201)(2, 202)(3, 203)(4, 204)(5, 205)(6, 206)(7, 207)(8, 208)(9, 209)(10, 210)(11, 211)(12, 212)(13, 213)(14, 214)(15, 215)(16, 216)(17, 217)(18, 218)(19, 219)(20, 220)(21, 221)(22, 222)(23, 223)(24, 224)(25, 225)(26, 226)(27, 227)(28, 228)(29, 229)(30, 230)(31, 231)(32, 232)(33, 233)(34, 234)(35, 235)(36, 236)(37, 237)(38, 238)(39, 239)(40, 240)(41, 241)(42, 242)(43, 243)(44, 244)(45, 245)(46, 246)(47, 247)(48, 248)(49, 249)(50, 250)(51, 251)(52, 252)(53, 253)(54, 254)(55, 255)(56, 256)(57, 257)(58, 258)(59, 259)(60, 260)(61, 261)(62, 262)(63, 263)(64, 264)(65, 265)(66, 266)(67, 267)(68, 268)(69, 269)(70, 270)(71, 271)(72, 272)(73, 273)(74, 274)(75, 275)(76, 276)(77, 277)(78, 278)(79, 279)(80, 280)(81, 281)(82, 282)(83, 283)(84, 284)(85, 285)(86, 286)(87, 287)(88, 288)(89, 289)(90, 290)(91, 291)(92, 292)(93, 293)(94, 294)(95, 295)(96, 296)(97, 297)(98, 298)(99, 299)(100, 300)(101, 301)(102, 302)(103, 303)(104, 304)(105, 305)(106, 306)(107, 307)(108, 308)(109, 309)(110, 310)(111, 311)(112, 312)(113, 313)(114, 314)(115, 315)(116, 316)(117, 317)(118, 318)(119, 319)(120, 320)(121, 321)(122, 322)(123, 323)(124, 324)(125, 325)(126, 326)(127, 327)(128, 328)(129, 329)(130, 330)(131, 331)(132, 332)(133, 333)(134, 334)(135, 335)(136, 336)(137, 337)(138, 338)(139, 339)(140, 340)(141, 341)(142, 342)(143, 343)(144, 344)(145, 345)(146, 346)(147, 347)(148, 348)(149, 349)(150, 350)(151, 351)(152, 352)(153, 353)(154, 354)(155, 355)(156, 356)(157, 357)(158, 358)(159, 359)(160, 360)(161, 361)(162, 362)(163, 363)(164, 364)(165, 365)(166, 366)(167, 367)(168, 368)(169, 369)(170, 370)(171, 371)(172, 372)(173, 373)(174, 374)(175, 375)(176, 376)(177, 377)(178, 378)(179, 379)(180, 380)(181, 381)(182, 382)(183, 383)(184, 384)(185, 385)(186, 386)(187, 387)(188, 388)(189, 389)(190, 390)(191, 391)(192, 392)(193, 393)(194, 394)(195, 395)(196, 396)(197, 397)(198, 398)(199, 399)(200, 400)(401, 601, 402, 602, 406, 606, 404, 604)(403, 603, 409, 609, 423, 623, 411, 611)(405, 605, 414, 614, 435, 635, 415, 615)(407, 607, 418, 618, 445, 645, 420, 620)(408, 608, 421, 621, 452, 652, 422, 622)(410, 610, 426, 626, 463, 663, 427, 627)(412, 612, 430, 630, 472, 672, 432, 632)(413, 613, 433, 633, 478, 678, 434, 634)(416, 616, 440, 640, 490, 690, 442, 642)(417, 617, 443, 643, 497, 697, 444, 644)(419, 619, 448, 648, 507, 707, 449, 649)(424, 624, 459, 659, 527, 727, 461, 661)(425, 625, 462, 662, 514, 714, 451, 651)(428, 628, 468, 668, 519, 719, 454, 654)(429, 629, 470, 670, 503, 703, 471, 671)(431, 631, 474, 674, 547, 747, 475, 675)(436, 636, 484, 684, 521, 721, 455, 655)(437, 637, 476, 676, 551, 751, 486, 686)(438, 638, 479, 679, 554, 754, 488, 688)(439, 639, 489, 689, 505, 705, 446, 646)(441, 641, 493, 693, 565, 765, 494, 694)(447, 647, 506, 706, 572, 772, 496, 696)(450, 650, 512, 712, 576, 776, 499, 699)(453, 653, 517, 717, 482, 682, 500, 700)(456, 656, 522, 722, 564, 764, 491, 691)(457, 657, 523, 723, 573, 773, 525, 725)(458, 658, 526, 726, 477, 677, 492, 692)(460, 660, 529, 729, 577, 777, 530, 730)(464, 664, 534, 734, 569, 769, 535, 735)(465, 665, 536, 736, 584, 784, 510, 710)(466, 666, 537, 737, 595, 795, 531, 731)(467, 667, 539, 739, 566, 766, 540, 740)(469, 669, 542, 742, 585, 785, 543, 743)(473, 673, 501, 701, 578, 778, 538, 738)(480, 680, 495, 695, 570, 770, 555, 755)(481, 681, 498, 698, 574, 774, 515, 715)(483, 683, 557, 757, 562, 762, 558, 758)(485, 685, 560, 760, 593, 793, 513, 713)(487, 687, 541, 741, 563, 763, 561, 761)(502, 702, 579, 779, 553, 753, 581, 781)(504, 704, 582, 782, 528, 728, 583, 783)(508, 708, 587, 787, 550, 750, 588, 788)(509, 709, 589, 789, 524, 724, 568, 768)(511, 711, 590, 790, 548, 748, 591, 791)(516, 716, 596, 796, 546, 746, 597, 797)(518, 718, 599, 799, 533, 733, 571, 771)(520, 720, 592, 792, 544, 744, 600, 800)(532, 732, 586, 786, 552, 752, 575, 775)(545, 745, 598, 798, 559, 759, 594, 794)(549, 749, 567, 767, 556, 756, 580, 780)
	L = (1, 403)(2, 407)(3, 410)(4, 412)(5, 401)(6, 416)(7, 419)(8, 402)(9, 424)(10, 405)(11, 428)(12, 431)(13, 404)(14, 436)(15, 438)(16, 441)(17, 406)(18, 446)(19, 408)(20, 450)(21, 453)(22, 455)(23, 457)(24, 460)(25, 409)(26, 464)(27, 466)(28, 469)(29, 411)(30, 473)(31, 413)(32, 476)(33, 479)(34, 481)(35, 482)(36, 485)(37, 414)(38, 487)(39, 415)(40, 491)(41, 417)(42, 495)(43, 498)(44, 500)(45, 502)(46, 504)(47, 418)(48, 508)(49, 510)(50, 513)(51, 420)(52, 515)(53, 518)(54, 421)(55, 520)(56, 422)(57, 524)(58, 423)(59, 434)(60, 425)(61, 511)(62, 490)(63, 532)(64, 522)(65, 426)(66, 538)(67, 427)(68, 541)(69, 429)(70, 430)(71, 545)(72, 546)(73, 544)(74, 548)(75, 549)(76, 552)(77, 432)(78, 521)(79, 542)(80, 433)(81, 528)(82, 556)(83, 435)(84, 540)(85, 437)(86, 535)(87, 439)(88, 536)(89, 537)(90, 562)(91, 563)(92, 440)(93, 566)(94, 568)(95, 571)(96, 442)(97, 488)(98, 575)(99, 443)(100, 577)(101, 444)(102, 580)(103, 445)(104, 447)(105, 569)(106, 472)(107, 585)(108, 578)(109, 448)(110, 461)(111, 449)(112, 592)(113, 451)(114, 594)(115, 595)(116, 452)(117, 591)(118, 454)(119, 588)(120, 456)(121, 589)(122, 465)(123, 593)(124, 458)(125, 600)(126, 598)(127, 567)(128, 459)(129, 596)(130, 486)(131, 462)(132, 579)(133, 463)(134, 471)(135, 570)(136, 573)(137, 474)(138, 467)(139, 468)(140, 572)(141, 576)(142, 480)(143, 565)(144, 470)(145, 574)(146, 584)(147, 599)(148, 489)(149, 564)(150, 475)(151, 583)(152, 477)(153, 478)(154, 587)(155, 590)(156, 483)(157, 582)(158, 586)(159, 484)(160, 597)(161, 581)(162, 531)(163, 492)(164, 550)(165, 560)(166, 527)(167, 493)(168, 505)(169, 494)(170, 530)(171, 496)(172, 559)(173, 497)(174, 534)(175, 499)(176, 539)(177, 501)(178, 509)(179, 533)(180, 503)(181, 529)(182, 525)(183, 519)(184, 506)(185, 558)(186, 507)(187, 514)(188, 551)(189, 553)(190, 512)(191, 526)(192, 555)(193, 547)(194, 554)(195, 516)(196, 561)(197, 543)(198, 517)(199, 523)(200, 557)(201, 601)(202, 602)(203, 603)(204, 604)(205, 605)(206, 606)(207, 607)(208, 608)(209, 609)(210, 610)(211, 611)(212, 612)(213, 613)(214, 614)(215, 615)(216, 616)(217, 617)(218, 618)(219, 619)(220, 620)(221, 621)(222, 622)(223, 623)(224, 624)(225, 625)(226, 626)(227, 627)(228, 628)(229, 629)(230, 630)(231, 631)(232, 632)(233, 633)(234, 634)(235, 635)(236, 636)(237, 637)(238, 638)(239, 639)(240, 640)(241, 641)(242, 642)(243, 643)(244, 644)(245, 645)(246, 646)(247, 647)(248, 648)(249, 649)(250, 650)(251, 651)(252, 652)(253, 653)(254, 654)(255, 655)(256, 656)(257, 657)(258, 658)(259, 659)(260, 660)(261, 661)(262, 662)(263, 663)(264, 664)(265, 665)(266, 666)(267, 667)(268, 668)(269, 669)(270, 670)(271, 671)(272, 672)(273, 673)(274, 674)(275, 675)(276, 676)(277, 677)(278, 678)(279, 679)(280, 680)(281, 681)(282, 682)(283, 683)(284, 684)(285, 685)(286, 686)(287, 687)(288, 688)(289, 689)(290, 690)(291, 691)(292, 692)(293, 693)(294, 694)(295, 695)(296, 696)(297, 697)(298, 698)(299, 699)(300, 700)(301, 701)(302, 702)(303, 703)(304, 704)(305, 705)(306, 706)(307, 707)(308, 708)(309, 709)(310, 710)(311, 711)(312, 712)(313, 713)(314, 714)(315, 715)(316, 716)(317, 717)(318, 718)(319, 719)(320, 720)(321, 721)(322, 722)(323, 723)(324, 724)(325, 725)(326, 726)(327, 727)(328, 728)(329, 729)(330, 730)(331, 731)(332, 732)(333, 733)(334, 734)(335, 735)(336, 736)(337, 737)(338, 738)(339, 739)(340, 740)(341, 741)(342, 742)(343, 743)(344, 744)(345, 745)(346, 746)(347, 747)(348, 748)(349, 749)(350, 750)(351, 751)(352, 752)(353, 753)(354, 754)(355, 755)(356, 756)(357, 757)(358, 758)(359, 759)(360, 760)(361, 761)(362, 762)(363, 763)(364, 764)(365, 765)(366, 766)(367, 767)(368, 768)(369, 769)(370, 770)(371, 771)(372, 772)(373, 773)(374, 774)(375, 775)(376, 776)(377, 777)(378, 778)(379, 779)(380, 780)(381, 781)(382, 782)(383, 783)(384, 784)(385, 785)(386, 786)(387, 787)(388, 788)(389, 789)(390, 790)(391, 791)(392, 792)(393, 793)(394, 794)(395, 795)(396, 796)(397, 797)(398, 798)(399, 799)(400, 800)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E26.1425
Graph:: simple bipartite
	v = 250 e = 400 f = 100
	degree seq :: [ 2^200, 8^50 ]

E26.1427 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 8, 8})
Quotient :: halfedge
Aut^+ = (C5 x C5) : C8 (small group id <200, 40>)
Aut   = (C5 x C5) : C8 (small group id <200, 40>)
|r| :: 1
Presentation :: [ X2^2, X1^8, X2 * X1^-2 * X2 * X1^-4 * X2 * X1^2, (X2 * X1 * X2 * X1^3)^2, (X2 * X1^-1 * X2 * X1^-3)^2, X2 * X1^3 * X2 * X1^-1 * X2 * X1 * 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, 100, 60, 30, 14)(9, 19, 39, 76, 59, 83, 42, 20)(12, 25, 49, 94, 155, 99, 52, 26)(16, 33, 65, 117, 180, 124, 68, 34)(17, 35, 69, 125, 123, 91, 72, 36)(21, 43, 84, 74, 37, 73, 87, 44)(24, 47, 77, 136, 193, 154, 93, 48)(28, 55, 103, 86, 147, 170, 106, 56)(29, 57, 107, 139, 169, 116, 110, 58)(32, 63, 114, 178, 151, 90, 46, 64)(40, 78, 137, 150, 196, 189, 140, 79)(41, 80, 141, 158, 96, 50, 95, 81)(45, 88, 54, 102, 82, 144, 149, 89)(51, 97, 122, 67, 121, 148, 161, 98)(62, 112, 126, 184, 198, 157, 177, 113)(66, 119, 182, 133, 192, 199, 160, 120)(70, 127, 185, 162, 195, 143, 187, 128)(71, 129, 172, 108, 171, 115, 179, 130)(75, 134, 118, 181, 131, 190, 163, 101)(85, 145, 153, 92, 152, 168, 105, 146)(104, 166, 183, 135, 132, 191, 197, 167)(109, 173, 138, 159, 188, 164, 200, 174)(111, 176, 165, 186, 175, 142, 194, 156)
	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, 66)(34, 67)(35, 70)(36, 71)(38, 75)(39, 77)(42, 82)(43, 85)(44, 86)(47, 91)(48, 92)(49, 84)(52, 61)(53, 101)(55, 104)(56, 105)(57, 108)(58, 109)(60, 111)(63, 115)(64, 116)(65, 118)(68, 123)(69, 126)(72, 131)(73, 132)(74, 133)(76, 135)(78, 138)(79, 139)(80, 142)(81, 143)(83, 112)(87, 114)(88, 148)(89, 117)(90, 150)(93, 100)(94, 156)(95, 157)(96, 140)(97, 159)(98, 160)(99, 162)(102, 164)(103, 165)(106, 169)(107, 134)(110, 175)(113, 167)(119, 152)(120, 183)(121, 158)(122, 176)(124, 174)(125, 146)(127, 186)(128, 161)(129, 188)(130, 189)(136, 185)(137, 184)(141, 191)(144, 192)(145, 172)(147, 190)(149, 193)(151, 155)(153, 197)(154, 179)(163, 198)(166, 196)(168, 195)(170, 199)(171, 187)(173, 182)(177, 180)(178, 200)(181, 194)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: chiral negatively-selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 25 e = 100 f = 25
	degree seq :: [ 8^25 ]

E26.1428 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 8, 8})
Quotient :: edge
Aut^+ = (C5 x C5) : C8 (small group id <200, 40>)
Aut   = (C5 x C5) : C8 (small group id <200, 40>)
|r| :: 1
Presentation :: [ X1^2, X2^8, X2 * X1 * X2^-2 * X1 * X2^4 * X1 * X2, (X1 * X2^-3 * X1 * X2^-1)^2, (X1 * X2^-1 * X1 * X2^-3)^2, X1 * X2 * X1 * X2^-3 * X1 * X2 * X1 * X2 * X1 * X2 * X1 * X2^-1 ]
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, 67)(35, 69)(36, 71)(38, 75)(40, 78)(42, 82)(43, 84)(44, 86)(47, 92)(49, 96)(50, 98)(51, 100)(53, 72)(55, 105)(57, 109)(58, 111)(59, 112)(61, 115)(62, 117)(64, 114)(65, 121)(66, 123)(68, 125)(70, 85)(73, 110)(74, 132)(76, 135)(77, 137)(79, 140)(80, 141)(81, 143)(83, 101)(87, 99)(88, 148)(89, 93)(90, 150)(91, 152)(94, 156)(95, 157)(97, 158)(102, 163)(103, 165)(104, 167)(106, 146)(107, 170)(108, 172)(113, 122)(116, 178)(118, 162)(119, 181)(120, 133)(124, 183)(126, 185)(127, 138)(128, 184)(129, 187)(130, 153)(131, 188)(134, 191)(136, 169)(139, 166)(142, 174)(144, 175)(145, 171)(147, 173)(149, 193)(151, 182)(154, 194)(155, 164)(159, 190)(160, 168)(161, 197)(176, 199)(177, 200)(179, 195)(180, 196)(186, 192)(189, 198)(201, 203, 208, 218, 238, 222, 210, 204)(202, 205, 212, 226, 253, 230, 214, 206)(207, 215, 232, 264, 320, 268, 234, 216)(209, 219, 240, 279, 267, 283, 242, 220)(211, 223, 247, 293, 355, 297, 249, 224)(213, 227, 255, 306, 296, 310, 257, 228)(217, 235, 270, 328, 386, 331, 272, 236)(221, 243, 285, 259, 229, 258, 287, 244)(225, 250, 299, 361, 392, 334, 275, 251)(231, 261, 316, 286, 347, 380, 318, 262)(233, 265, 322, 337, 362, 300, 324, 266)(237, 273, 278, 339, 393, 390, 333, 274)(239, 276, 336, 391, 400, 372, 338, 277)(241, 280, 342, 356, 327, 269, 326, 281)(245, 288, 263, 319, 282, 344, 349, 289)(246, 290, 351, 312, 375, 396, 353, 291)(248, 294, 348, 367, 330, 271, 329, 295)(252, 301, 305, 369, 399, 385, 364, 302)(254, 303, 366, 388, 395, 343, 368, 304)(256, 307, 371, 321, 360, 298, 359, 308)(260, 313, 292, 354, 309, 373, 376, 314)(284, 345, 389, 332, 350, 379, 317, 346)(311, 374, 398, 363, 315, 377, 352, 340)(323, 382, 335, 387, 370, 381, 397, 358)(325, 357, 378, 365, 383, 341, 394, 384)
	L = (1, 201)(2, 202)(3, 203)(4, 204)(5, 205)(6, 206)(7, 207)(8, 208)(9, 209)(10, 210)(11, 211)(12, 212)(13, 213)(14, 214)(15, 215)(16, 216)(17, 217)(18, 218)(19, 219)(20, 220)(21, 221)(22, 222)(23, 223)(24, 224)(25, 225)(26, 226)(27, 227)(28, 228)(29, 229)(30, 230)(31, 231)(32, 232)(33, 233)(34, 234)(35, 235)(36, 236)(37, 237)(38, 238)(39, 239)(40, 240)(41, 241)(42, 242)(43, 243)(44, 244)(45, 245)(46, 246)(47, 247)(48, 248)(49, 249)(50, 250)(51, 251)(52, 252)(53, 253)(54, 254)(55, 255)(56, 256)(57, 257)(58, 258)(59, 259)(60, 260)(61, 261)(62, 262)(63, 263)(64, 264)(65, 265)(66, 266)(67, 267)(68, 268)(69, 269)(70, 270)(71, 271)(72, 272)(73, 273)(74, 274)(75, 275)(76, 276)(77, 277)(78, 278)(79, 279)(80, 280)(81, 281)(82, 282)(83, 283)(84, 284)(85, 285)(86, 286)(87, 287)(88, 288)(89, 289)(90, 290)(91, 291)(92, 292)(93, 293)(94, 294)(95, 295)(96, 296)(97, 297)(98, 298)(99, 299)(100, 300)(101, 301)(102, 302)(103, 303)(104, 304)(105, 305)(106, 306)(107, 307)(108, 308)(109, 309)(110, 310)(111, 311)(112, 312)(113, 313)(114, 314)(115, 315)(116, 316)(117, 317)(118, 318)(119, 319)(120, 320)(121, 321)(122, 322)(123, 323)(124, 324)(125, 325)(126, 326)(127, 327)(128, 328)(129, 329)(130, 330)(131, 331)(132, 332)(133, 333)(134, 334)(135, 335)(136, 336)(137, 337)(138, 338)(139, 339)(140, 340)(141, 341)(142, 342)(143, 343)(144, 344)(145, 345)(146, 346)(147, 347)(148, 348)(149, 349)(150, 350)(151, 351)(152, 352)(153, 353)(154, 354)(155, 355)(156, 356)(157, 357)(158, 358)(159, 359)(160, 360)(161, 361)(162, 362)(163, 363)(164, 364)(165, 365)(166, 366)(167, 367)(168, 368)(169, 369)(170, 370)(171, 371)(172, 372)(173, 373)(174, 374)(175, 375)(176, 376)(177, 377)(178, 378)(179, 379)(180, 380)(181, 381)(182, 382)(183, 383)(184, 384)(185, 385)(186, 386)(187, 387)(188, 388)(189, 389)(190, 390)(191, 391)(192, 392)(193, 393)(194, 394)(195, 395)(196, 396)(197, 397)(198, 398)(199, 399)(200, 400)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 125 e = 200 f = 25
	degree seq :: [ 2^100, 8^25 ]

E26.1429 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 8, 8})
Quotient :: loop
Aut^+ = (C5 x C5) : C8 (small group id <200, 40>)
Aut   = (C5 x C5) : C8 (small group id <200, 40>)
|r| :: 1
Presentation :: [ (X1 * X2)^2, (X2^2 * X1^-2)^2, (X2^2 * X1^-2)^2, (X2^-1 * X1)^4, X2^8, X1^8, (X2^2 * X1^-2)^2, X1 * X2 * X1^-1 * X2 * X1^4 * X2^-1 * X1, X1^-2 * X2^-1 * X1^3 * X2^-1 * X1 * X2^-1 * X1^-1, X2 * X1^-1 * X2^4 * X1 * X2^-2 * X1^-1, X2 * X1^-1 * X2^-1 * X1 * X2^-4 * X1^-4, (X1^-2 * X2^-3 * X1^-1)^2, X1 * X2^-3 * X1 * X2 * X1^-1 * X2^-2 * X1^3 ]
Map::
	R = (1, 201, 2, 202, 6, 206, 16, 216, 40, 240, 34, 234, 13, 213, 4, 204)(3, 203, 9, 209, 23, 223, 57, 257, 99, 299, 71, 271, 29, 229, 11, 211)(5, 205, 14, 214, 35, 235, 82, 282, 114, 314, 51, 251, 20, 220, 7, 207)(8, 208, 21, 221, 52, 252, 115, 315, 179, 379, 100, 300, 44, 244, 17, 217)(10, 210, 25, 225, 62, 262, 133, 333, 182, 382, 102, 302, 46, 246, 27, 227)(12, 212, 30, 230, 72, 272, 103, 303, 50, 250, 111, 311, 77, 277, 32, 232)(15, 215, 38, 238, 79, 279, 153, 353, 174, 374, 159, 359, 85, 285, 36, 236)(18, 218, 45, 245, 101, 301, 180, 380, 140, 340, 168, 368, 93, 293, 41, 241)(19, 219, 47, 247, 105, 305, 185, 385, 158, 358, 169, 369, 95, 295, 49, 249)(22, 222, 55, 255, 31, 231, 74, 274, 149, 349, 198, 398, 118, 318, 53, 253)(24, 224, 60, 260, 128, 328, 190, 390, 108, 308, 181, 381, 125, 325, 58, 258)(26, 226, 64, 264, 137, 337, 186, 386, 106, 306, 188, 388, 127, 327, 66, 266)(28, 228, 68, 268, 142, 342, 80, 280, 33, 233, 78, 278, 116, 316, 54, 254)(37, 237, 76, 276, 151, 351, 199, 399, 155, 355, 81, 281, 91, 291, 83, 283)(39, 239, 89, 289, 112, 312, 183, 383, 143, 343, 166, 366, 161, 361, 87, 287)(42, 242, 94, 294, 59, 259, 126, 326, 191, 391, 160, 360, 163, 363, 90, 290)(43, 243, 96, 296, 171, 371, 124, 324, 197, 397, 156, 356, 164, 364, 98, 298)(48, 248, 107, 307, 189, 389, 148, 348, 172, 372, 138, 338, 86, 286, 109, 309)(56, 256, 122, 322, 177, 377, 123, 323, 192, 392, 135, 335, 200, 400, 120, 320)(61, 261, 131, 331, 69, 269, 119, 319, 175, 375, 97, 297, 173, 373, 129, 329)(63, 263, 136, 336, 178, 378, 150, 350, 75, 275, 121, 321, 176, 376, 134, 334)(65, 265, 117, 317, 196, 396, 146, 346, 73, 273, 147, 347, 162, 362, 139, 339)(67, 267, 104, 304, 184, 384, 145, 345, 70, 270, 144, 344, 187, 387, 130, 330)(84, 284, 157, 357, 195, 395, 152, 352, 167, 367, 92, 292, 165, 365, 132, 332)(88, 288, 110, 310, 170, 370, 141, 341, 194, 394, 113, 313, 193, 393, 154, 354)
	L = (1, 203)(2, 207)(3, 210)(4, 212)(5, 201)(6, 217)(7, 219)(8, 202)(9, 204)(10, 226)(11, 228)(12, 231)(13, 233)(14, 236)(15, 205)(16, 241)(17, 243)(18, 206)(19, 248)(20, 250)(21, 253)(22, 208)(23, 258)(24, 209)(25, 211)(26, 265)(27, 267)(28, 269)(29, 270)(30, 213)(31, 275)(32, 276)(33, 279)(34, 281)(35, 283)(36, 284)(37, 214)(38, 287)(39, 215)(40, 290)(41, 292)(42, 216)(43, 297)(44, 299)(45, 302)(46, 218)(47, 220)(48, 308)(49, 310)(50, 312)(51, 313)(52, 316)(53, 317)(54, 221)(55, 320)(56, 222)(57, 294)(58, 324)(59, 223)(60, 329)(61, 224)(62, 334)(63, 225)(64, 227)(65, 239)(66, 340)(67, 341)(68, 229)(69, 307)(70, 235)(71, 300)(72, 346)(73, 230)(74, 232)(75, 332)(76, 338)(77, 323)(78, 234)(79, 354)(80, 326)(81, 328)(82, 345)(83, 356)(84, 350)(85, 358)(86, 237)(87, 322)(88, 238)(89, 339)(90, 362)(91, 240)(92, 366)(93, 282)(94, 369)(95, 242)(96, 244)(97, 374)(98, 376)(99, 377)(100, 378)(101, 272)(102, 381)(103, 245)(104, 246)(105, 386)(106, 247)(107, 249)(108, 256)(109, 391)(110, 263)(111, 251)(112, 373)(113, 252)(114, 368)(115, 394)(116, 395)(117, 266)(118, 397)(119, 254)(120, 384)(121, 255)(122, 390)(123, 257)(124, 393)(125, 382)(126, 388)(127, 259)(128, 387)(129, 289)(130, 260)(131, 365)(132, 261)(133, 392)(134, 364)(135, 262)(136, 288)(137, 372)(138, 264)(139, 363)(140, 399)(141, 274)(142, 383)(143, 268)(144, 271)(145, 400)(146, 385)(147, 389)(148, 273)(149, 370)(150, 379)(151, 277)(152, 278)(153, 280)(154, 371)(155, 380)(156, 398)(157, 285)(158, 396)(159, 375)(160, 286)(161, 367)(162, 335)(163, 315)(164, 291)(165, 293)(166, 349)(167, 337)(168, 327)(169, 359)(170, 295)(171, 348)(172, 296)(173, 298)(174, 304)(175, 351)(176, 306)(177, 361)(178, 301)(179, 360)(180, 336)(181, 309)(182, 357)(183, 303)(184, 353)(185, 344)(186, 352)(187, 305)(188, 321)(189, 331)(190, 355)(191, 342)(192, 311)(193, 314)(194, 330)(195, 333)(196, 318)(197, 325)(198, 343)(199, 319)(200, 347)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph::
	v = 25 e = 200 f = 125
	degree seq :: [ 16^25 ]

E26.1430 :: Family: { 2*ex } :: Oriented family(ies): { E3c }
Signature :: (0; {2, 8, 8})
Quotient :: loop
Aut^+ = (C5 x C5) : C8 (small group id <200, 40>)
Aut   = ((C5 x C5) : C8) : C2 (small group id <400, 206>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2^-1)^2, F * T1 * F * T2, T1^8, (T2 * T1^-1)^4, (T2^2 * T1^-2)^2, T2^8, T1 * T2^-1 * T1 * T2 * T1^3 * T2^-2 * T1, T2^-1 * T1 * T2^3 * T1 * T2^-1 * T1 * T2^-2, T2^2 * T1^-3 * T2^-1 * T1^-1 * T2 * T1^-2, T1 * T2^-3 * T1^-1 * T2^-1 * T1 * T2^-2 * T1, T2 * T1^-1 * T2^-2 * T1 * T2^4 * T1^-1, T1^3 * T2^-1 * T1^-2 * T2 * T1^2 * T2^-1, T2 * T1 * T2^-1 * T1^3 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, T2 * T1^3 * T2^-1 * T1 * T2^-2 * T1 * T2^-2 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 10, 26, 65, 39, 15, 5)(2, 7, 19, 48, 108, 56, 22, 8)(4, 12, 31, 75, 132, 61, 24, 9)(6, 17, 43, 97, 175, 104, 46, 18)(11, 28, 69, 142, 200, 122, 63, 25)(13, 33, 79, 155, 182, 149, 73, 30)(14, 36, 84, 130, 60, 129, 86, 37)(16, 41, 92, 166, 126, 171, 95, 42)(20, 50, 112, 192, 123, 184, 106, 47)(21, 53, 117, 88, 38, 87, 119, 54)(23, 58, 125, 199, 148, 188, 127, 59)(27, 67, 140, 170, 94, 169, 137, 64)(29, 70, 35, 83, 156, 198, 141, 68)(32, 76, 151, 168, 161, 89, 139, 74)(34, 81, 128, 196, 118, 197, 153, 78)(40, 90, 162, 157, 85, 158, 164, 91)(44, 99, 178, 146, 82, 144, 173, 96)(45, 102, 181, 121, 55, 120, 183, 103)(49, 110, 190, 152, 163, 138, 66, 107)(51, 113, 52, 116, 195, 133, 191, 111)(57, 115, 194, 159, 165, 93, 77, 124)(62, 134, 187, 105, 186, 150, 172, 135)(71, 145, 189, 109, 174, 98, 177, 143)(72, 147, 176, 160, 167, 136, 193, 114)(80, 100, 179, 101, 180, 131, 185, 154)(201, 202, 206, 216, 240, 234, 213, 204)(203, 209, 223, 257, 323, 271, 229, 211)(205, 214, 235, 282, 314, 251, 220, 207)(208, 221, 252, 315, 259, 300, 244, 217)(210, 225, 262, 333, 382, 302, 246, 227)(212, 230, 272, 346, 400, 352, 277, 232)(215, 238, 279, 354, 387, 359, 285, 236)(218, 245, 301, 283, 237, 276, 293, 241)(219, 247, 305, 385, 332, 369, 295, 249)(222, 255, 231, 274, 350, 398, 318, 253)(224, 260, 328, 391, 335, 373, 326, 258)(226, 264, 336, 397, 356, 379, 327, 266)(228, 268, 290, 242, 294, 368, 316, 254)(233, 278, 345, 392, 361, 370, 299, 280)(239, 289, 312, 383, 325, 366, 360, 287)(243, 296, 372, 339, 265, 338, 364, 298)(248, 307, 388, 349, 395, 351, 286, 309)(250, 311, 281, 291, 363, 342, 380, 303)(256, 322, 378, 340, 284, 357, 399, 320)(261, 331, 269, 319, 376, 297, 374, 329)(263, 308, 389, 353, 367, 292, 365, 334)(267, 304, 384, 324, 390, 317, 396, 330)(270, 343, 381, 355, 288, 310, 371, 344)(273, 348, 362, 341, 386, 306, 375, 347)(275, 321, 377, 358, 394, 313, 393, 337)
	L = (1, 201)(2, 202)(3, 203)(4, 204)(5, 205)(6, 206)(7, 207)(8, 208)(9, 209)(10, 210)(11, 211)(12, 212)(13, 213)(14, 214)(15, 215)(16, 216)(17, 217)(18, 218)(19, 219)(20, 220)(21, 221)(22, 222)(23, 223)(24, 224)(25, 225)(26, 226)(27, 227)(28, 228)(29, 229)(30, 230)(31, 231)(32, 232)(33, 233)(34, 234)(35, 235)(36, 236)(37, 237)(38, 238)(39, 239)(40, 240)(41, 241)(42, 242)(43, 243)(44, 244)(45, 245)(46, 246)(47, 247)(48, 248)(49, 249)(50, 250)(51, 251)(52, 252)(53, 253)(54, 254)(55, 255)(56, 256)(57, 257)(58, 258)(59, 259)(60, 260)(61, 261)(62, 262)(63, 263)(64, 264)(65, 265)(66, 266)(67, 267)(68, 268)(69, 269)(70, 270)(71, 271)(72, 272)(73, 273)(74, 274)(75, 275)(76, 276)(77, 277)(78, 278)(79, 279)(80, 280)(81, 281)(82, 282)(83, 283)(84, 284)(85, 285)(86, 286)(87, 287)(88, 288)(89, 289)(90, 290)(91, 291)(92, 292)(93, 293)(94, 294)(95, 295)(96, 296)(97, 297)(98, 298)(99, 299)(100, 300)(101, 301)(102, 302)(103, 303)(104, 304)(105, 305)(106, 306)(107, 307)(108, 308)(109, 309)(110, 310)(111, 311)(112, 312)(113, 313)(114, 314)(115, 315)(116, 316)(117, 317)(118, 318)(119, 319)(120, 320)(121, 321)(122, 322)(123, 323)(124, 324)(125, 325)(126, 326)(127, 327)(128, 328)(129, 329)(130, 330)(131, 331)(132, 332)(133, 333)(134, 334)(135, 335)(136, 336)(137, 337)(138, 338)(139, 339)(140, 340)(141, 341)(142, 342)(143, 343)(144, 344)(145, 345)(146, 346)(147, 347)(148, 348)(149, 349)(150, 350)(151, 351)(152, 352)(153, 353)(154, 354)(155, 355)(156, 356)(157, 357)(158, 358)(159, 359)(160, 360)(161, 361)(162, 362)(163, 363)(164, 364)(165, 365)(166, 366)(167, 367)(168, 368)(169, 369)(170, 370)(171, 371)(172, 372)(173, 373)(174, 374)(175, 375)(176, 376)(177, 377)(178, 378)(179, 379)(180, 380)(181, 381)(182, 382)(183, 383)(184, 384)(185, 385)(186, 386)(187, 387)(188, 388)(189, 389)(190, 390)(191, 391)(192, 392)(193, 393)(194, 394)(195, 395)(196, 396)(197, 397)(198, 398)(199, 399)(200, 400)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E26.1431
Transitivity :: ET+ VT AT
Graph:: simple bipartite
	v = 50 e = 200 f = 100
	degree seq :: [ 8^50 ]

E26.1431 :: Family: { 2ex } :: Oriented family(ies): { E3*c }
Signature :: (0; {2, 8, 8})
Quotient :: edge
Aut^+ = (C5 x C5) : C8 (small group id <200, 40>)
Aut   = ((C5 x C5) : C8) : C2 (small group id <400, 206>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, F * T1 * T2 * F * T1^-1, T1^8, T1^-2 * T2 * T1^2 * T2 * T1^-4 * T2, T1^-3 * T2 * T1 * F * T1^-1 * T2 * T1^3 * F, (T1^3 * T2 * T1 * T2)^2, T1 * T2 * T1 * F * T1^-4 * F * T1^-1 * T2 * T1^-1 * T2, T1 * F * T1^-2 * T2 * T1 * T2 * T1^-3 * F * T1^-1 * T2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * F * T1^3 * F * T1^-1, (T2 * T1^-1)^8 ]
Map:: polyhedral non-degenerate
	R = (1, 201, 3, 203)(2, 202, 6, 206)(4, 204, 9, 209)(5, 205, 12, 212)(7, 207, 16, 216)(8, 208, 17, 217)(10, 210, 21, 221)(11, 211, 24, 224)(13, 213, 28, 228)(14, 214, 29, 229)(15, 215, 32, 232)(18, 218, 37, 237)(19, 219, 40, 240)(20, 220, 41, 241)(22, 222, 45, 245)(23, 223, 46, 246)(25, 225, 50, 250)(26, 226, 51, 251)(27, 227, 54, 254)(30, 230, 59, 259)(31, 231, 62, 262)(33, 233, 66, 266)(34, 234, 67, 267)(35, 235, 70, 270)(36, 236, 71, 271)(38, 238, 75, 275)(39, 239, 77, 277)(42, 242, 82, 282)(43, 243, 85, 285)(44, 244, 86, 286)(47, 247, 92, 292)(48, 248, 93, 293)(49, 249, 94, 294)(52, 252, 87, 287)(53, 253, 99, 299)(55, 255, 103, 303)(56, 256, 104, 304)(57, 257, 107, 307)(58, 258, 108, 308)(60, 260, 111, 311)(61, 261, 84, 284)(63, 263, 114, 314)(64, 264, 115, 315)(65, 265, 117, 317)(68, 268, 122, 322)(69, 269, 125, 325)(72, 272, 130, 330)(73, 273, 131, 331)(74, 274, 132, 332)(76, 276, 135, 335)(78, 278, 137, 337)(79, 279, 138, 338)(80, 280, 141, 341)(81, 281, 142, 342)(83, 283, 112, 312)(88, 288, 149, 349)(89, 289, 116, 316)(90, 290, 151, 351)(91, 291, 152, 352)(95, 295, 156, 356)(96, 296, 157, 357)(97, 297, 123, 323)(98, 298, 159, 359)(100, 300, 161, 361)(101, 301, 162, 362)(102, 302, 163, 363)(105, 305, 168, 368)(106, 306, 146, 346)(109, 309, 174, 374)(110, 310, 175, 375)(113, 313, 139, 339)(118, 318, 170, 370)(119, 319, 181, 381)(120, 320, 154, 354)(121, 321, 182, 382)(124, 324, 183, 383)(126, 326, 184, 384)(127, 327, 169, 369)(128, 328, 176, 376)(129, 329, 186, 386)(133, 333, 189, 389)(134, 334, 148, 348)(136, 336, 166, 366)(140, 340, 171, 371)(143, 343, 194, 394)(144, 344, 185, 385)(145, 345, 173, 373)(147, 347, 190, 390)(150, 350, 193, 393)(153, 353, 188, 388)(155, 355, 197, 397)(158, 358, 198, 398)(160, 360, 199, 399)(164, 364, 191, 391)(165, 365, 187, 387)(167, 367, 179, 379)(172, 372, 178, 378)(177, 377, 200, 400)(180, 380, 195, 395)(192, 392, 196, 396)
	L = (1, 202)(2, 205)(3, 207)(4, 201)(5, 211)(6, 213)(7, 215)(8, 203)(9, 219)(10, 204)(11, 223)(12, 225)(13, 227)(14, 206)(15, 231)(16, 233)(17, 235)(18, 208)(19, 239)(20, 209)(21, 243)(22, 210)(23, 222)(24, 247)(25, 249)(26, 212)(27, 253)(28, 255)(29, 257)(30, 214)(31, 261)(32, 263)(33, 265)(34, 216)(35, 269)(36, 217)(37, 273)(38, 218)(39, 276)(40, 278)(41, 280)(42, 220)(43, 284)(44, 221)(45, 288)(46, 290)(47, 291)(48, 224)(49, 264)(50, 295)(51, 297)(52, 226)(53, 277)(54, 300)(55, 302)(56, 228)(57, 306)(58, 229)(59, 289)(60, 230)(61, 238)(62, 312)(63, 252)(64, 232)(65, 316)(66, 318)(67, 320)(68, 234)(69, 324)(70, 326)(71, 328)(72, 236)(73, 246)(74, 237)(75, 333)(76, 334)(77, 260)(78, 336)(79, 240)(80, 340)(81, 241)(82, 248)(83, 242)(84, 343)(85, 344)(86, 346)(87, 244)(88, 348)(89, 245)(90, 350)(91, 301)(92, 272)(93, 327)(94, 274)(95, 281)(96, 250)(97, 341)(98, 251)(99, 275)(100, 282)(101, 254)(102, 286)(103, 364)(104, 366)(105, 256)(106, 370)(107, 339)(108, 372)(109, 258)(110, 259)(111, 376)(112, 377)(113, 262)(114, 378)(115, 311)(116, 325)(117, 379)(118, 380)(119, 266)(120, 365)(121, 267)(122, 299)(123, 268)(124, 353)(125, 323)(126, 345)(127, 270)(128, 385)(129, 271)(130, 313)(131, 371)(132, 387)(133, 388)(134, 283)(135, 390)(136, 331)(137, 383)(138, 359)(139, 279)(140, 358)(141, 391)(142, 389)(143, 393)(144, 354)(145, 285)(146, 369)(147, 287)(148, 395)(149, 360)(150, 355)(151, 309)(152, 310)(153, 292)(154, 293)(155, 294)(156, 384)(157, 317)(158, 296)(159, 319)(160, 298)(161, 381)(162, 314)(163, 400)(164, 394)(165, 303)(166, 382)(167, 304)(168, 315)(169, 305)(170, 396)(171, 307)(172, 337)(173, 308)(174, 322)(175, 321)(176, 392)(177, 357)(178, 329)(179, 330)(180, 332)(181, 373)(182, 356)(183, 397)(184, 335)(185, 398)(186, 349)(187, 338)(188, 363)(189, 399)(190, 367)(191, 386)(192, 342)(193, 347)(194, 375)(195, 352)(196, 351)(197, 361)(198, 362)(199, 368)(200, 374)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E26.1430
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 100 e = 200 f = 50
	degree seq :: [ 4^100 ]

E26.1432 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 8, 8})
Quotient :: edge^2
Aut^+ = (C5 x C5) : C8 (small group id <200, 40>)
Aut   = ((C5 x C5) : C8) : C2 (small group id <400, 206>)
|r| :: 2
Presentation :: [ Y3, R^2, (Y2 * Y1)^2, (Y1^-1 * Y2^-1)^2, R * Y1 * R * Y2, (R * Y3)^2, Y1^-1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2^-1, (Y2 * Y1^-1)^4, (Y2^2 * Y1^-2)^2, Y2^8, Y1^8, Y2^2 * Y1^-3 * Y2^-1 * Y1^-1 * Y2 * Y1^-2, Y1 * Y2^-1 * Y1 * Y2 * Y1^3 * Y2^-2 * Y1, Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2^-3 * Y1^-1 * Y2, Y1^3 * Y2^-1 * Y1^-2 * Y2 * Y1^2 * Y2^-1, Y2 * Y1^-1 * Y2^-2 * Y1 * Y2^4 * Y1^-1, Y2 * Y1 * Y2^-1 * Y1^3 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2 * Y1^3 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1^-1 ]
Map:: polytopal
	R = (1, 201)(2, 202)(3, 203)(4, 204)(5, 205)(6, 206)(7, 207)(8, 208)(9, 209)(10, 210)(11, 211)(12, 212)(13, 213)(14, 214)(15, 215)(16, 216)(17, 217)(18, 218)(19, 219)(20, 220)(21, 221)(22, 222)(23, 223)(24, 224)(25, 225)(26, 226)(27, 227)(28, 228)(29, 229)(30, 230)(31, 231)(32, 232)(33, 233)(34, 234)(35, 235)(36, 236)(37, 237)(38, 238)(39, 239)(40, 240)(41, 241)(42, 242)(43, 243)(44, 244)(45, 245)(46, 246)(47, 247)(48, 248)(49, 249)(50, 250)(51, 251)(52, 252)(53, 253)(54, 254)(55, 255)(56, 256)(57, 257)(58, 258)(59, 259)(60, 260)(61, 261)(62, 262)(63, 263)(64, 264)(65, 265)(66, 266)(67, 267)(68, 268)(69, 269)(70, 270)(71, 271)(72, 272)(73, 273)(74, 274)(75, 275)(76, 276)(77, 277)(78, 278)(79, 279)(80, 280)(81, 281)(82, 282)(83, 283)(84, 284)(85, 285)(86, 286)(87, 287)(88, 288)(89, 289)(90, 290)(91, 291)(92, 292)(93, 293)(94, 294)(95, 295)(96, 296)(97, 297)(98, 298)(99, 299)(100, 300)(101, 301)(102, 302)(103, 303)(104, 304)(105, 305)(106, 306)(107, 307)(108, 308)(109, 309)(110, 310)(111, 311)(112, 312)(113, 313)(114, 314)(115, 315)(116, 316)(117, 317)(118, 318)(119, 319)(120, 320)(121, 321)(122, 322)(123, 323)(124, 324)(125, 325)(126, 326)(127, 327)(128, 328)(129, 329)(130, 330)(131, 331)(132, 332)(133, 333)(134, 334)(135, 335)(136, 336)(137, 337)(138, 338)(139, 339)(140, 340)(141, 341)(142, 342)(143, 343)(144, 344)(145, 345)(146, 346)(147, 347)(148, 348)(149, 349)(150, 350)(151, 351)(152, 352)(153, 353)(154, 354)(155, 355)(156, 356)(157, 357)(158, 358)(159, 359)(160, 360)(161, 361)(162, 362)(163, 363)(164, 364)(165, 365)(166, 366)(167, 367)(168, 368)(169, 369)(170, 370)(171, 371)(172, 372)(173, 373)(174, 374)(175, 375)(176, 376)(177, 377)(178, 378)(179, 379)(180, 380)(181, 381)(182, 382)(183, 383)(184, 384)(185, 385)(186, 386)(187, 387)(188, 388)(189, 389)(190, 390)(191, 391)(192, 392)(193, 393)(194, 394)(195, 395)(196, 396)(197, 397)(198, 398)(199, 399)(200, 400)(401, 402, 406, 416, 440, 434, 413, 404)(403, 409, 423, 457, 523, 471, 429, 411)(405, 414, 435, 482, 514, 451, 420, 407)(408, 421, 452, 515, 459, 500, 444, 417)(410, 425, 462, 533, 582, 502, 446, 427)(412, 430, 472, 546, 600, 552, 477, 432)(415, 438, 479, 554, 587, 559, 485, 436)(418, 445, 501, 483, 437, 476, 493, 441)(419, 447, 505, 585, 532, 569, 495, 449)(422, 455, 431, 474, 550, 598, 518, 453)(424, 460, 528, 591, 535, 573, 526, 458)(426, 464, 536, 597, 556, 579, 527, 466)(428, 468, 490, 442, 494, 568, 516, 454)(433, 478, 545, 592, 561, 570, 499, 480)(439, 489, 512, 583, 525, 566, 560, 487)(443, 496, 572, 539, 465, 538, 564, 498)(448, 507, 588, 549, 595, 551, 486, 509)(450, 511, 481, 491, 563, 542, 580, 503)(456, 522, 578, 540, 484, 557, 599, 520)(461, 531, 469, 519, 576, 497, 574, 529)(463, 508, 589, 553, 567, 492, 565, 534)(467, 504, 584, 524, 590, 517, 596, 530)(470, 543, 581, 555, 488, 510, 571, 544)(473, 548, 562, 541, 586, 506, 575, 547)(475, 521, 577, 558, 594, 513, 593, 537)(601, 603, 610, 626, 665, 639, 615, 605)(602, 607, 619, 648, 708, 656, 622, 608)(604, 612, 631, 675, 732, 661, 624, 609)(606, 617, 643, 697, 775, 704, 646, 618)(611, 628, 669, 742, 800, 722, 663, 625)(613, 633, 679, 755, 782, 749, 673, 630)(614, 636, 684, 730, 660, 729, 686, 637)(616, 641, 692, 766, 726, 771, 695, 642)(620, 650, 712, 792, 723, 784, 706, 647)(621, 653, 717, 688, 638, 687, 719, 654)(623, 658, 725, 799, 748, 788, 727, 659)(627, 667, 740, 770, 694, 769, 737, 664)(629, 670, 635, 683, 756, 798, 741, 668)(632, 676, 751, 768, 761, 689, 739, 674)(634, 681, 728, 796, 718, 797, 753, 678)(640, 690, 762, 757, 685, 758, 764, 691)(644, 699, 778, 746, 682, 744, 773, 696)(645, 702, 781, 721, 655, 720, 783, 703)(649, 710, 790, 752, 763, 738, 666, 707)(651, 713, 652, 716, 795, 733, 791, 711)(657, 715, 794, 759, 765, 693, 677, 724)(662, 734, 787, 705, 786, 750, 772, 735)(671, 745, 789, 709, 774, 698, 777, 743)(672, 747, 776, 760, 767, 736, 793, 714)(680, 700, 779, 701, 780, 731, 785, 754)
	L = (1, 401)(2, 402)(3, 403)(4, 404)(5, 405)(6, 406)(7, 407)(8, 408)(9, 409)(10, 410)(11, 411)(12, 412)(13, 413)(14, 414)(15, 415)(16, 416)(17, 417)(18, 418)(19, 419)(20, 420)(21, 421)(22, 422)(23, 423)(24, 424)(25, 425)(26, 426)(27, 427)(28, 428)(29, 429)(30, 430)(31, 431)(32, 432)(33, 433)(34, 434)(35, 435)(36, 436)(37, 437)(38, 438)(39, 439)(40, 440)(41, 441)(42, 442)(43, 443)(44, 444)(45, 445)(46, 446)(47, 447)(48, 448)(49, 449)(50, 450)(51, 451)(52, 452)(53, 453)(54, 454)(55, 455)(56, 456)(57, 457)(58, 458)(59, 459)(60, 460)(61, 461)(62, 462)(63, 463)(64, 464)(65, 465)(66, 466)(67, 467)(68, 468)(69, 469)(70, 470)(71, 471)(72, 472)(73, 473)(74, 474)(75, 475)(76, 476)(77, 477)(78, 478)(79, 479)(80, 480)(81, 481)(82, 482)(83, 483)(84, 484)(85, 485)(86, 486)(87, 487)(88, 488)(89, 489)(90, 490)(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, 523)(124, 524)(125, 525)(126, 526)(127, 527)(128, 528)(129, 529)(130, 530)(131, 531)(132, 532)(133, 533)(134, 534)(135, 535)(136, 536)(137, 537)(138, 538)(139, 539)(140, 540)(141, 541)(142, 542)(143, 543)(144, 544)(145, 545)(146, 546)(147, 547)(148, 548)(149, 549)(150, 550)(151, 551)(152, 552)(153, 553)(154, 554)(155, 555)(156, 556)(157, 557)(158, 558)(159, 559)(160, 560)(161, 561)(162, 562)(163, 563)(164, 564)(165, 565)(166, 566)(167, 567)(168, 568)(169, 569)(170, 570)(171, 571)(172, 572)(173, 573)(174, 574)(175, 575)(176, 576)(177, 577)(178, 578)(179, 579)(180, 580)(181, 581)(182, 582)(183, 583)(184, 584)(185, 585)(186, 586)(187, 587)(188, 588)(189, 589)(190, 590)(191, 591)(192, 592)(193, 593)(194, 594)(195, 595)(196, 596)(197, 597)(198, 598)(199, 599)(200, 600)(201, 601)(202, 602)(203, 603)(204, 604)(205, 605)(206, 606)(207, 607)(208, 608)(209, 609)(210, 610)(211, 611)(212, 612)(213, 613)(214, 614)(215, 615)(216, 616)(217, 617)(218, 618)(219, 619)(220, 620)(221, 621)(222, 622)(223, 623)(224, 624)(225, 625)(226, 626)(227, 627)(228, 628)(229, 629)(230, 630)(231, 631)(232, 632)(233, 633)(234, 634)(235, 635)(236, 636)(237, 637)(238, 638)(239, 639)(240, 640)(241, 641)(242, 642)(243, 643)(244, 644)(245, 645)(246, 646)(247, 647)(248, 648)(249, 649)(250, 650)(251, 651)(252, 652)(253, 653)(254, 654)(255, 655)(256, 656)(257, 657)(258, 658)(259, 659)(260, 660)(261, 661)(262, 662)(263, 663)(264, 664)(265, 665)(266, 666)(267, 667)(268, 668)(269, 669)(270, 670)(271, 671)(272, 672)(273, 673)(274, 674)(275, 675)(276, 676)(277, 677)(278, 678)(279, 679)(280, 680)(281, 681)(282, 682)(283, 683)(284, 684)(285, 685)(286, 686)(287, 687)(288, 688)(289, 689)(290, 690)(291, 691)(292, 692)(293, 693)(294, 694)(295, 695)(296, 696)(297, 697)(298, 698)(299, 699)(300, 700)(301, 701)(302, 702)(303, 703)(304, 704)(305, 705)(306, 706)(307, 707)(308, 708)(309, 709)(310, 710)(311, 711)(312, 712)(313, 713)(314, 714)(315, 715)(316, 716)(317, 717)(318, 718)(319, 719)(320, 720)(321, 721)(322, 722)(323, 723)(324, 724)(325, 725)(326, 726)(327, 727)(328, 728)(329, 729)(330, 730)(331, 731)(332, 732)(333, 733)(334, 734)(335, 735)(336, 736)(337, 737)(338, 738)(339, 739)(340, 740)(341, 741)(342, 742)(343, 743)(344, 744)(345, 745)(346, 746)(347, 747)(348, 748)(349, 749)(350, 750)(351, 751)(352, 752)(353, 753)(354, 754)(355, 755)(356, 756)(357, 757)(358, 758)(359, 759)(360, 760)(361, 761)(362, 762)(363, 763)(364, 764)(365, 765)(366, 766)(367, 767)(368, 768)(369, 769)(370, 770)(371, 771)(372, 772)(373, 773)(374, 774)(375, 775)(376, 776)(377, 777)(378, 778)(379, 779)(380, 780)(381, 781)(382, 782)(383, 783)(384, 784)(385, 785)(386, 786)(387, 787)(388, 788)(389, 789)(390, 790)(391, 791)(392, 792)(393, 793)(394, 794)(395, 795)(396, 796)(397, 797)(398, 798)(399, 799)(400, 800)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E26.1435
Graph:: simple bipartite
	v = 250 e = 400 f = 100
	degree seq :: [ 2^200, 8^50 ]

E26.1433 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 8, 8})
Quotient :: edge^2
Aut^+ = (C5 x C5) : C8 (small group id <200, 40>)
Aut   = ((C5 x C5) : C8) : C2 (small group id <400, 206>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y3 * Y2^-1 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y2^-1)^4, (Y2 * Y1^-2 * Y2)^2, Y2^8, Y1^8, Y2^2 * Y1 * Y2^-1 * Y3 * Y2^3 * Y1^-1, Y1^-1 * Y2 * Y1^2 * Y2^-1 * Y1^3 * Y3, Y2 * Y1 * Y2^-1 * Y1 * Y2^-3 * Y3 * Y2, Y2 * Y1 * Y3 * Y2 * Y1 * Y2^-2 * Y3 * Y1^-2, Y2 * Y1 * Y3 * Y1^-2 * Y2^-1 * Y3 * Y1^-2 * Y2, Y2 * Y1 * Y2^-1 * Y1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y2 * Y1^-1, Y2^2 * Y1^2 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1^-1, Y2 * Y1 * Y2^-1 * Y3 * Y1^-2 * Y2^-2 * Y3 * Y1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 201, 4, 204)(2, 202, 8, 208)(3, 203, 5, 205)(6, 206, 18, 218)(7, 207, 21, 221)(9, 209, 26, 226)(10, 210, 29, 229)(11, 211, 12, 212)(13, 213, 14, 214)(15, 215, 16, 216)(17, 217, 47, 247)(19, 219, 52, 252)(20, 220, 55, 255)(22, 222, 60, 260)(23, 223, 24, 224)(25, 225, 68, 268)(27, 227, 73, 273)(28, 228, 76, 276)(30, 230, 81, 281)(31, 231, 84, 284)(32, 232, 33, 233)(34, 234, 35, 235)(36, 236, 95, 295)(37, 237, 38, 238)(39, 239, 40, 240)(41, 241, 108, 308)(42, 242, 43, 243)(44, 244, 45, 245)(46, 246, 119, 319)(48, 248, 122, 322)(49, 249, 50, 250)(51, 251, 129, 329)(53, 253, 134, 334)(54, 254, 117, 317)(56, 256, 138, 338)(57, 257, 58, 258)(59, 259, 142, 342)(61, 261, 89, 289)(62, 262, 147, 347)(63, 263, 64, 264)(65, 265, 66, 266)(67, 267, 157, 357)(69, 269, 91, 291)(70, 270, 71, 271)(72, 272, 111, 311)(74, 274, 85, 285)(75, 275, 169, 369)(77, 277, 156, 356)(78, 278, 79, 279)(80, 280, 160, 360)(82, 282, 175, 375)(83, 283, 178, 378)(86, 286, 181, 381)(87, 287, 88, 288)(90, 290, 136, 336)(92, 292, 93, 293)(94, 294, 188, 388)(96, 296, 145, 345)(97, 297, 171, 371)(98, 298, 99, 299)(100, 300, 101, 301)(102, 302, 173, 373)(103, 303, 104, 304)(105, 305, 106, 306)(107, 307, 118, 318)(109, 309, 190, 390)(110, 310, 146, 346)(112, 312, 113, 313)(114, 314, 191, 391)(115, 315, 116, 316)(120, 320, 121, 321)(123, 323, 149, 349)(124, 324, 194, 394)(125, 325, 126, 326)(127, 327, 128, 328)(130, 330, 161, 361)(131, 331, 132, 332)(133, 333, 192, 392)(135, 335, 183, 383)(137, 337, 198, 398)(139, 339, 179, 379)(140, 340, 141, 341)(143, 343, 144, 344)(148, 348, 172, 372)(150, 350, 151, 351)(152, 352, 153, 353)(154, 354, 155, 355)(158, 358, 159, 359)(162, 362, 163, 363)(164, 364, 186, 386)(165, 365, 166, 366)(167, 367, 193, 393)(168, 368, 187, 387)(170, 370, 196, 396)(174, 374, 185, 385)(176, 376, 182, 382)(177, 377, 195, 395)(180, 380, 197, 397)(184, 384, 189, 389)(199, 399, 200, 400)(401, 402, 407, 420, 454, 445, 416, 405)(403, 410, 428, 475, 568, 493, 435, 412)(404, 406, 417, 446, 518, 506, 440, 414)(408, 409, 425, 467, 476, 477, 466, 424)(411, 431, 483, 577, 544, 460, 461, 433)(413, 436, 494, 575, 576, 538, 501, 438)(415, 441, 507, 593, 600, 596, 513, 443)(418, 419, 451, 515, 588, 579, 528, 450)(421, 422, 459, 521, 447, 448, 512, 458)(423, 462, 546, 534, 487, 583, 553, 464)(426, 427, 472, 442, 510, 589, 563, 471)(429, 430, 480, 573, 578, 547, 548, 479)(432, 486, 580, 562, 520, 556, 571, 488)(434, 490, 455, 456, 537, 559, 468, 469)(437, 497, 590, 595, 558, 522, 523, 499)(439, 502, 517, 535, 599, 585, 542, 504)(444, 514, 587, 592, 598, 555, 465, 516)(449, 524, 566, 473, 474, 567, 554, 526)(452, 453, 533, 503, 565, 478, 540, 532)(457, 539, 484, 485, 498, 591, 597, 541)(463, 549, 481, 482, 574, 491, 531, 551)(470, 560, 525, 489, 545, 569, 570, 561)(492, 586, 543, 529, 530, 500, 572, 519)(495, 496, 550, 508, 509, 594, 536, 584)(505, 581, 582, 511, 564, 552, 527, 557)(601, 603, 611, 632, 687, 653, 619, 606)(602, 604, 613, 637, 698, 674, 627, 609)(605, 615, 642, 711, 776, 682, 630, 610)(607, 608, 623, 663, 750, 745, 661, 622)(612, 634, 691, 785, 800, 767, 685, 631)(614, 639, 703, 792, 768, 769, 696, 636)(616, 644, 715, 729, 744, 795, 709, 641)(617, 618, 649, 725, 680, 681, 723, 648)(620, 621, 657, 740, 679, 772, 701, 656)(624, 665, 754, 793, 718, 719, 748, 662)(625, 626, 670, 730, 651, 652, 731, 669)(628, 629, 678, 766, 794, 790, 771, 677)(633, 689, 726, 755, 737, 738, 782, 686)(635, 692, 646, 647, 720, 763, 784, 690)(638, 700, 761, 796, 799, 783, 688, 697)(640, 705, 667, 668, 758, 777, 778, 702)(643, 712, 722, 759, 798, 733, 734, 710)(645, 717, 773, 760, 671, 762, 797, 714)(650, 727, 753, 735, 654, 655, 736, 724)(658, 713, 770, 675, 676, 757, 728, 739)(659, 660, 743, 764, 672, 673, 765, 704)(664, 752, 786, 693, 787, 791, 699, 749)(666, 756, 721, 742, 774, 775, 788, 716)(683, 684, 779, 694, 695, 789, 746, 747)(706, 707, 708, 751, 732, 741, 780, 781)
	L = (1, 401)(2, 402)(3, 403)(4, 404)(5, 405)(6, 406)(7, 407)(8, 408)(9, 409)(10, 410)(11, 411)(12, 412)(13, 413)(14, 414)(15, 415)(16, 416)(17, 417)(18, 418)(19, 419)(20, 420)(21, 421)(22, 422)(23, 423)(24, 424)(25, 425)(26, 426)(27, 427)(28, 428)(29, 429)(30, 430)(31, 431)(32, 432)(33, 433)(34, 434)(35, 435)(36, 436)(37, 437)(38, 438)(39, 439)(40, 440)(41, 441)(42, 442)(43, 443)(44, 444)(45, 445)(46, 446)(47, 447)(48, 448)(49, 449)(50, 450)(51, 451)(52, 452)(53, 453)(54, 454)(55, 455)(56, 456)(57, 457)(58, 458)(59, 459)(60, 460)(61, 461)(62, 462)(63, 463)(64, 464)(65, 465)(66, 466)(67, 467)(68, 468)(69, 469)(70, 470)(71, 471)(72, 472)(73, 473)(74, 474)(75, 475)(76, 476)(77, 477)(78, 478)(79, 479)(80, 480)(81, 481)(82, 482)(83, 483)(84, 484)(85, 485)(86, 486)(87, 487)(88, 488)(89, 489)(90, 490)(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, 523)(124, 524)(125, 525)(126, 526)(127, 527)(128, 528)(129, 529)(130, 530)(131, 531)(132, 532)(133, 533)(134, 534)(135, 535)(136, 536)(137, 537)(138, 538)(139, 539)(140, 540)(141, 541)(142, 542)(143, 543)(144, 544)(145, 545)(146, 546)(147, 547)(148, 548)(149, 549)(150, 550)(151, 551)(152, 552)(153, 553)(154, 554)(155, 555)(156, 556)(157, 557)(158, 558)(159, 559)(160, 560)(161, 561)(162, 562)(163, 563)(164, 564)(165, 565)(166, 566)(167, 567)(168, 568)(169, 569)(170, 570)(171, 571)(172, 572)(173, 573)(174, 574)(175, 575)(176, 576)(177, 577)(178, 578)(179, 579)(180, 580)(181, 581)(182, 582)(183, 583)(184, 584)(185, 585)(186, 586)(187, 587)(188, 588)(189, 589)(190, 590)(191, 591)(192, 592)(193, 593)(194, 594)(195, 595)(196, 596)(197, 597)(198, 598)(199, 599)(200, 600)(201, 601)(202, 602)(203, 603)(204, 604)(205, 605)(206, 606)(207, 607)(208, 608)(209, 609)(210, 610)(211, 611)(212, 612)(213, 613)(214, 614)(215, 615)(216, 616)(217, 617)(218, 618)(219, 619)(220, 620)(221, 621)(222, 622)(223, 623)(224, 624)(225, 625)(226, 626)(227, 627)(228, 628)(229, 629)(230, 630)(231, 631)(232, 632)(233, 633)(234, 634)(235, 635)(236, 636)(237, 637)(238, 638)(239, 639)(240, 640)(241, 641)(242, 642)(243, 643)(244, 644)(245, 645)(246, 646)(247, 647)(248, 648)(249, 649)(250, 650)(251, 651)(252, 652)(253, 653)(254, 654)(255, 655)(256, 656)(257, 657)(258, 658)(259, 659)(260, 660)(261, 661)(262, 662)(263, 663)(264, 664)(265, 665)(266, 666)(267, 667)(268, 668)(269, 669)(270, 670)(271, 671)(272, 672)(273, 673)(274, 674)(275, 675)(276, 676)(277, 677)(278, 678)(279, 679)(280, 680)(281, 681)(282, 682)(283, 683)(284, 684)(285, 685)(286, 686)(287, 687)(288, 688)(289, 689)(290, 690)(291, 691)(292, 692)(293, 693)(294, 694)(295, 695)(296, 696)(297, 697)(298, 698)(299, 699)(300, 700)(301, 701)(302, 702)(303, 703)(304, 704)(305, 705)(306, 706)(307, 707)(308, 708)(309, 709)(310, 710)(311, 711)(312, 712)(313, 713)(314, 714)(315, 715)(316, 716)(317, 717)(318, 718)(319, 719)(320, 720)(321, 721)(322, 722)(323, 723)(324, 724)(325, 725)(326, 726)(327, 727)(328, 728)(329, 729)(330, 730)(331, 731)(332, 732)(333, 733)(334, 734)(335, 735)(336, 736)(337, 737)(338, 738)(339, 739)(340, 740)(341, 741)(342, 742)(343, 743)(344, 744)(345, 745)(346, 746)(347, 747)(348, 748)(349, 749)(350, 750)(351, 751)(352, 752)(353, 753)(354, 754)(355, 755)(356, 756)(357, 757)(358, 758)(359, 759)(360, 760)(361, 761)(362, 762)(363, 763)(364, 764)(365, 765)(366, 766)(367, 767)(368, 768)(369, 769)(370, 770)(371, 771)(372, 772)(373, 773)(374, 774)(375, 775)(376, 776)(377, 777)(378, 778)(379, 779)(380, 780)(381, 781)(382, 782)(383, 783)(384, 784)(385, 785)(386, 786)(387, 787)(388, 788)(389, 789)(390, 790)(391, 791)(392, 792)(393, 793)(394, 794)(395, 795)(396, 796)(397, 797)(398, 798)(399, 799)(400, 800)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E26.1434
Graph:: simple bipartite
	v = 150 e = 400 f = 200
	degree seq :: [ 4^100, 8^50 ]

E26.1434 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 8, 8})
Quotient :: loop^2
Aut^+ = (C5 x C5) : C8 (small group id <200, 40>)
Aut   = ((C5 x C5) : C8) : C2 (small group id <400, 206>)
|r| :: 2
Presentation :: [ Y3, R^2, (Y2 * Y1)^2, (Y1^-1 * Y2^-1)^2, R * Y1 * R * Y2, (R * Y3)^2, Y1^-1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2^-1, (Y2 * Y1^-1)^4, (Y2^2 * Y1^-2)^2, Y2^8, Y1^8, Y2^2 * Y1^-3 * Y2^-1 * Y1^-1 * Y2 * Y1^-2, Y1 * Y2^-1 * Y1 * Y2 * Y1^3 * Y2^-2 * Y1, Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2^-3 * Y1^-1 * Y2, Y1^3 * Y2^-1 * Y1^-2 * Y2 * Y1^2 * Y2^-1, Y2 * Y1^-1 * Y2^-2 * Y1 * Y2^4 * Y1^-1, Y2 * Y1 * Y2^-1 * Y1^3 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2 * Y1^3 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 201, 401, 601)(2, 202, 402, 602)(3, 203, 403, 603)(4, 204, 404, 604)(5, 205, 405, 605)(6, 206, 406, 606)(7, 207, 407, 607)(8, 208, 408, 608)(9, 209, 409, 609)(10, 210, 410, 610)(11, 211, 411, 611)(12, 212, 412, 612)(13, 213, 413, 613)(14, 214, 414, 614)(15, 215, 415, 615)(16, 216, 416, 616)(17, 217, 417, 617)(18, 218, 418, 618)(19, 219, 419, 619)(20, 220, 420, 620)(21, 221, 421, 621)(22, 222, 422, 622)(23, 223, 423, 623)(24, 224, 424, 624)(25, 225, 425, 625)(26, 226, 426, 626)(27, 227, 427, 627)(28, 228, 428, 628)(29, 229, 429, 629)(30, 230, 430, 630)(31, 231, 431, 631)(32, 232, 432, 632)(33, 233, 433, 633)(34, 234, 434, 634)(35, 235, 435, 635)(36, 236, 436, 636)(37, 237, 437, 637)(38, 238, 438, 638)(39, 239, 439, 639)(40, 240, 440, 640)(41, 241, 441, 641)(42, 242, 442, 642)(43, 243, 443, 643)(44, 244, 444, 644)(45, 245, 445, 645)(46, 246, 446, 646)(47, 247, 447, 647)(48, 248, 448, 648)(49, 249, 449, 649)(50, 250, 450, 650)(51, 251, 451, 651)(52, 252, 452, 652)(53, 253, 453, 653)(54, 254, 454, 654)(55, 255, 455, 655)(56, 256, 456, 656)(57, 257, 457, 657)(58, 258, 458, 658)(59, 259, 459, 659)(60, 260, 460, 660)(61, 261, 461, 661)(62, 262, 462, 662)(63, 263, 463, 663)(64, 264, 464, 664)(65, 265, 465, 665)(66, 266, 466, 666)(67, 267, 467, 667)(68, 268, 468, 668)(69, 269, 469, 669)(70, 270, 470, 670)(71, 271, 471, 671)(72, 272, 472, 672)(73, 273, 473, 673)(74, 274, 474, 674)(75, 275, 475, 675)(76, 276, 476, 676)(77, 277, 477, 677)(78, 278, 478, 678)(79, 279, 479, 679)(80, 280, 480, 680)(81, 281, 481, 681)(82, 282, 482, 682)(83, 283, 483, 683)(84, 284, 484, 684)(85, 285, 485, 685)(86, 286, 486, 686)(87, 287, 487, 687)(88, 288, 488, 688)(89, 289, 489, 689)(90, 290, 490, 690)(91, 291, 491, 691)(92, 292, 492, 692)(93, 293, 493, 693)(94, 294, 494, 694)(95, 295, 495, 695)(96, 296, 496, 696)(97, 297, 497, 697)(98, 298, 498, 698)(99, 299, 499, 699)(100, 300, 500, 700)(101, 301, 501, 701)(102, 302, 502, 702)(103, 303, 503, 703)(104, 304, 504, 704)(105, 305, 505, 705)(106, 306, 506, 706)(107, 307, 507, 707)(108, 308, 508, 708)(109, 309, 509, 709)(110, 310, 510, 710)(111, 311, 511, 711)(112, 312, 512, 712)(113, 313, 513, 713)(114, 314, 514, 714)(115, 315, 515, 715)(116, 316, 516, 716)(117, 317, 517, 717)(118, 318, 518, 718)(119, 319, 519, 719)(120, 320, 520, 720)(121, 321, 521, 721)(122, 322, 522, 722)(123, 323, 523, 723)(124, 324, 524, 724)(125, 325, 525, 725)(126, 326, 526, 726)(127, 327, 527, 727)(128, 328, 528, 728)(129, 329, 529, 729)(130, 330, 530, 730)(131, 331, 531, 731)(132, 332, 532, 732)(133, 333, 533, 733)(134, 334, 534, 734)(135, 335, 535, 735)(136, 336, 536, 736)(137, 337, 537, 737)(138, 338, 538, 738)(139, 339, 539, 739)(140, 340, 540, 740)(141, 341, 541, 741)(142, 342, 542, 742)(143, 343, 543, 743)(144, 344, 544, 744)(145, 345, 545, 745)(146, 346, 546, 746)(147, 347, 547, 747)(148, 348, 548, 748)(149, 349, 549, 749)(150, 350, 550, 750)(151, 351, 551, 751)(152, 352, 552, 752)(153, 353, 553, 753)(154, 354, 554, 754)(155, 355, 555, 755)(156, 356, 556, 756)(157, 357, 557, 757)(158, 358, 558, 758)(159, 359, 559, 759)(160, 360, 560, 760)(161, 361, 561, 761)(162, 362, 562, 762)(163, 363, 563, 763)(164, 364, 564, 764)(165, 365, 565, 765)(166, 366, 566, 766)(167, 367, 567, 767)(168, 368, 568, 768)(169, 369, 569, 769)(170, 370, 570, 770)(171, 371, 571, 771)(172, 372, 572, 772)(173, 373, 573, 773)(174, 374, 574, 774)(175, 375, 575, 775)(176, 376, 576, 776)(177, 377, 577, 777)(178, 378, 578, 778)(179, 379, 579, 779)(180, 380, 580, 780)(181, 381, 581, 781)(182, 382, 582, 782)(183, 383, 583, 783)(184, 384, 584, 784)(185, 385, 585, 785)(186, 386, 586, 786)(187, 387, 587, 787)(188, 388, 588, 788)(189, 389, 589, 789)(190, 390, 590, 790)(191, 391, 591, 791)(192, 392, 592, 792)(193, 393, 593, 793)(194, 394, 594, 794)(195, 395, 595, 795)(196, 396, 596, 796)(197, 397, 597, 797)(198, 398, 598, 798)(199, 399, 599, 799)(200, 400, 600, 800)
	L = (1, 202)(2, 206)(3, 209)(4, 201)(5, 214)(6, 216)(7, 205)(8, 221)(9, 223)(10, 225)(11, 203)(12, 230)(13, 204)(14, 235)(15, 238)(16, 240)(17, 208)(18, 245)(19, 247)(20, 207)(21, 252)(22, 255)(23, 257)(24, 260)(25, 262)(26, 264)(27, 210)(28, 268)(29, 211)(30, 272)(31, 274)(32, 212)(33, 278)(34, 213)(35, 282)(36, 215)(37, 276)(38, 279)(39, 289)(40, 234)(41, 218)(42, 294)(43, 296)(44, 217)(45, 301)(46, 227)(47, 305)(48, 307)(49, 219)(50, 311)(51, 220)(52, 315)(53, 222)(54, 228)(55, 231)(56, 322)(57, 323)(58, 224)(59, 300)(60, 328)(61, 331)(62, 333)(63, 308)(64, 336)(65, 338)(66, 226)(67, 304)(68, 290)(69, 319)(70, 343)(71, 229)(72, 346)(73, 348)(74, 350)(75, 321)(76, 293)(77, 232)(78, 345)(79, 354)(80, 233)(81, 291)(82, 314)(83, 237)(84, 357)(85, 236)(86, 309)(87, 239)(88, 310)(89, 312)(90, 242)(91, 363)(92, 365)(93, 241)(94, 368)(95, 249)(96, 372)(97, 374)(98, 243)(99, 280)(100, 244)(101, 283)(102, 246)(103, 250)(104, 384)(105, 385)(106, 375)(107, 388)(108, 389)(109, 248)(110, 371)(111, 281)(112, 383)(113, 393)(114, 251)(115, 259)(116, 254)(117, 396)(118, 253)(119, 376)(120, 256)(121, 377)(122, 378)(123, 271)(124, 390)(125, 366)(126, 258)(127, 266)(128, 391)(129, 261)(130, 267)(131, 269)(132, 369)(133, 382)(134, 263)(135, 373)(136, 397)(137, 275)(138, 364)(139, 265)(140, 284)(141, 386)(142, 380)(143, 381)(144, 270)(145, 392)(146, 400)(147, 273)(148, 362)(149, 395)(150, 398)(151, 286)(152, 277)(153, 367)(154, 387)(155, 288)(156, 379)(157, 399)(158, 394)(159, 285)(160, 287)(161, 370)(162, 341)(163, 342)(164, 298)(165, 334)(166, 360)(167, 292)(168, 316)(169, 295)(170, 299)(171, 344)(172, 339)(173, 326)(174, 329)(175, 347)(176, 297)(177, 358)(178, 340)(179, 327)(180, 303)(181, 355)(182, 302)(183, 325)(184, 324)(185, 332)(186, 306)(187, 359)(188, 349)(189, 353)(190, 317)(191, 335)(192, 361)(193, 337)(194, 313)(195, 351)(196, 330)(197, 356)(198, 318)(199, 320)(200, 352)(401, 603)(402, 607)(403, 610)(404, 612)(405, 601)(406, 617)(407, 619)(408, 602)(409, 604)(410, 626)(411, 628)(412, 631)(413, 633)(414, 636)(415, 605)(416, 641)(417, 643)(418, 606)(419, 648)(420, 650)(421, 653)(422, 608)(423, 658)(424, 609)(425, 611)(426, 665)(427, 667)(428, 669)(429, 670)(430, 613)(431, 675)(432, 676)(433, 679)(434, 681)(435, 683)(436, 684)(437, 614)(438, 687)(439, 615)(440, 690)(441, 692)(442, 616)(443, 697)(444, 699)(445, 702)(446, 618)(447, 620)(448, 708)(449, 710)(450, 712)(451, 713)(452, 716)(453, 717)(454, 621)(455, 720)(456, 622)(457, 715)(458, 725)(459, 623)(460, 729)(461, 624)(462, 734)(463, 625)(464, 627)(465, 639)(466, 707)(467, 740)(468, 629)(469, 742)(470, 635)(471, 745)(472, 747)(473, 630)(474, 632)(475, 732)(476, 751)(477, 724)(478, 634)(479, 755)(480, 700)(481, 728)(482, 744)(483, 756)(484, 730)(485, 758)(486, 637)(487, 719)(488, 638)(489, 739)(490, 762)(491, 640)(492, 766)(493, 677)(494, 769)(495, 642)(496, 644)(497, 775)(498, 777)(499, 778)(500, 779)(501, 780)(502, 781)(503, 645)(504, 646)(505, 786)(506, 647)(507, 649)(508, 656)(509, 774)(510, 790)(511, 651)(512, 792)(513, 652)(514, 672)(515, 794)(516, 795)(517, 688)(518, 797)(519, 654)(520, 783)(521, 655)(522, 663)(523, 784)(524, 657)(525, 799)(526, 771)(527, 659)(528, 796)(529, 686)(530, 660)(531, 785)(532, 661)(533, 791)(534, 787)(535, 662)(536, 793)(537, 664)(538, 666)(539, 674)(540, 770)(541, 668)(542, 800)(543, 671)(544, 773)(545, 789)(546, 682)(547, 776)(548, 788)(549, 673)(550, 772)(551, 768)(552, 763)(553, 678)(554, 680)(555, 782)(556, 798)(557, 685)(558, 764)(559, 765)(560, 767)(561, 689)(562, 757)(563, 738)(564, 691)(565, 693)(566, 726)(567, 736)(568, 761)(569, 737)(570, 694)(571, 695)(572, 735)(573, 696)(574, 698)(575, 704)(576, 760)(577, 743)(578, 746)(579, 701)(580, 731)(581, 721)(582, 749)(583, 703)(584, 706)(585, 754)(586, 750)(587, 705)(588, 727)(589, 709)(590, 752)(591, 711)(592, 723)(593, 714)(594, 759)(595, 733)(596, 718)(597, 753)(598, 741)(599, 748)(600, 722)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E26.1433
Transitivity :: VT+
Graph:: simple bipartite
	v = 200 e = 400 f = 150
	degree seq :: [ 4^200 ]

E26.1435 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 8, 8})
Quotient :: loop^2
Aut^+ = (C5 x C5) : C8 (small group id <200, 40>)
Aut   = ((C5 x C5) : C8) : C2 (small group id <400, 206>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y3 * Y2^-1 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y2^-1)^4, (Y2 * Y1^-2 * Y2)^2, Y2^8, Y1^8, Y2^2 * Y1 * Y2^-1 * Y3 * Y2^3 * Y1^-1, Y1^-1 * Y2 * Y1^2 * Y2^-1 * Y1^3 * Y3, Y2 * Y1 * Y2^-1 * Y1 * Y2^-3 * Y3 * Y2, Y2 * Y1 * Y3 * Y2 * Y1 * Y2^-2 * Y3 * Y1^-2, Y2 * Y1 * Y3 * Y1^-2 * Y2^-1 * Y3 * Y1^-2 * Y2, Y2 * Y1 * Y2^-1 * Y1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y2 * Y1^-1, Y2^2 * Y1^2 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1^-1, Y2 * Y1 * Y2^-1 * Y3 * Y1^-2 * Y2^-2 * Y3 * Y1^-1 ]
Map::
	R = (1, 201, 401, 601, 4, 204, 404, 604)(2, 202, 402, 602, 8, 208, 408, 608)(3, 203, 403, 603, 5, 205, 405, 605)(6, 206, 406, 606, 18, 218, 418, 618)(7, 207, 407, 607, 21, 221, 421, 621)(9, 209, 409, 609, 26, 226, 426, 626)(10, 210, 410, 610, 29, 229, 429, 629)(11, 211, 411, 611, 12, 212, 412, 612)(13, 213, 413, 613, 14, 214, 414, 614)(15, 215, 415, 615, 16, 216, 416, 616)(17, 217, 417, 617, 47, 247, 447, 647)(19, 219, 419, 619, 52, 252, 452, 652)(20, 220, 420, 620, 55, 255, 455, 655)(22, 222, 422, 622, 60, 260, 460, 660)(23, 223, 423, 623, 24, 224, 424, 624)(25, 225, 425, 625, 68, 268, 468, 668)(27, 227, 427, 627, 73, 273, 473, 673)(28, 228, 428, 628, 76, 276, 476, 676)(30, 230, 430, 630, 81, 281, 481, 681)(31, 231, 431, 631, 84, 284, 484, 684)(32, 232, 432, 632, 33, 233, 433, 633)(34, 234, 434, 634, 35, 235, 435, 635)(36, 236, 436, 636, 95, 295, 495, 695)(37, 237, 437, 637, 38, 238, 438, 638)(39, 239, 439, 639, 40, 240, 440, 640)(41, 241, 441, 641, 108, 308, 508, 708)(42, 242, 442, 642, 43, 243, 443, 643)(44, 244, 444, 644, 45, 245, 445, 645)(46, 246, 446, 646, 119, 319, 519, 719)(48, 248, 448, 648, 122, 322, 522, 722)(49, 249, 449, 649, 50, 250, 450, 650)(51, 251, 451, 651, 129, 329, 529, 729)(53, 253, 453, 653, 134, 334, 534, 734)(54, 254, 454, 654, 117, 317, 517, 717)(56, 256, 456, 656, 138, 338, 538, 738)(57, 257, 457, 657, 58, 258, 458, 658)(59, 259, 459, 659, 142, 342, 542, 742)(61, 261, 461, 661, 89, 289, 489, 689)(62, 262, 462, 662, 147, 347, 547, 747)(63, 263, 463, 663, 64, 264, 464, 664)(65, 265, 465, 665, 66, 266, 466, 666)(67, 267, 467, 667, 157, 357, 557, 757)(69, 269, 469, 669, 91, 291, 491, 691)(70, 270, 470, 670, 71, 271, 471, 671)(72, 272, 472, 672, 111, 311, 511, 711)(74, 274, 474, 674, 85, 285, 485, 685)(75, 275, 475, 675, 169, 369, 569, 769)(77, 277, 477, 677, 156, 356, 556, 756)(78, 278, 478, 678, 79, 279, 479, 679)(80, 280, 480, 680, 160, 360, 560, 760)(82, 282, 482, 682, 175, 375, 575, 775)(83, 283, 483, 683, 178, 378, 578, 778)(86, 286, 486, 686, 181, 381, 581, 781)(87, 287, 487, 687, 88, 288, 488, 688)(90, 290, 490, 690, 136, 336, 536, 736)(92, 292, 492, 692, 93, 293, 493, 693)(94, 294, 494, 694, 188, 388, 588, 788)(96, 296, 496, 696, 145, 345, 545, 745)(97, 297, 497, 697, 171, 371, 571, 771)(98, 298, 498, 698, 99, 299, 499, 699)(100, 300, 500, 700, 101, 301, 501, 701)(102, 302, 502, 702, 173, 373, 573, 773)(103, 303, 503, 703, 104, 304, 504, 704)(105, 305, 505, 705, 106, 306, 506, 706)(107, 307, 507, 707, 118, 318, 518, 718)(109, 309, 509, 709, 190, 390, 590, 790)(110, 310, 510, 710, 146, 346, 546, 746)(112, 312, 512, 712, 113, 313, 513, 713)(114, 314, 514, 714, 191, 391, 591, 791)(115, 315, 515, 715, 116, 316, 516, 716)(120, 320, 520, 720, 121, 321, 521, 721)(123, 323, 523, 723, 149, 349, 549, 749)(124, 324, 524, 724, 194, 394, 594, 794)(125, 325, 525, 725, 126, 326, 526, 726)(127, 327, 527, 727, 128, 328, 528, 728)(130, 330, 530, 730, 161, 361, 561, 761)(131, 331, 531, 731, 132, 332, 532, 732)(133, 333, 533, 733, 192, 392, 592, 792)(135, 335, 535, 735, 183, 383, 583, 783)(137, 337, 537, 737, 198, 398, 598, 798)(139, 339, 539, 739, 179, 379, 579, 779)(140, 340, 540, 740, 141, 341, 541, 741)(143, 343, 543, 743, 144, 344, 544, 744)(148, 348, 548, 748, 172, 372, 572, 772)(150, 350, 550, 750, 151, 351, 551, 751)(152, 352, 552, 752, 153, 353, 553, 753)(154, 354, 554, 754, 155, 355, 555, 755)(158, 358, 558, 758, 159, 359, 559, 759)(162, 362, 562, 762, 163, 363, 563, 763)(164, 364, 564, 764, 186, 386, 586, 786)(165, 365, 565, 765, 166, 366, 566, 766)(167, 367, 567, 767, 193, 393, 593, 793)(168, 368, 568, 768, 187, 387, 587, 787)(170, 370, 570, 770, 196, 396, 596, 796)(174, 374, 574, 774, 185, 385, 585, 785)(176, 376, 576, 776, 182, 382, 582, 782)(177, 377, 577, 777, 195, 395, 595, 795)(180, 380, 580, 780, 197, 397, 597, 797)(184, 384, 584, 784, 189, 389, 589, 789)(199, 399, 599, 799, 200, 400, 600, 800)
	L = (1, 202)(2, 207)(3, 210)(4, 206)(5, 201)(6, 217)(7, 220)(8, 209)(9, 225)(10, 228)(11, 231)(12, 203)(13, 236)(14, 204)(15, 241)(16, 205)(17, 246)(18, 219)(19, 251)(20, 254)(21, 222)(22, 259)(23, 262)(24, 208)(25, 267)(26, 227)(27, 272)(28, 275)(29, 230)(30, 280)(31, 283)(32, 286)(33, 211)(34, 290)(35, 212)(36, 294)(37, 297)(38, 213)(39, 302)(40, 214)(41, 307)(42, 310)(43, 215)(44, 314)(45, 216)(46, 318)(47, 248)(48, 312)(49, 324)(50, 218)(51, 315)(52, 253)(53, 333)(54, 245)(55, 256)(56, 337)(57, 339)(58, 221)(59, 321)(60, 261)(61, 233)(62, 346)(63, 349)(64, 223)(65, 316)(66, 224)(67, 276)(68, 269)(69, 234)(70, 360)(71, 226)(72, 242)(73, 274)(74, 367)(75, 368)(76, 277)(77, 266)(78, 340)(79, 229)(80, 373)(81, 282)(82, 374)(83, 377)(84, 285)(85, 298)(86, 380)(87, 383)(88, 232)(89, 345)(90, 255)(91, 331)(92, 386)(93, 235)(94, 375)(95, 296)(96, 350)(97, 390)(98, 391)(99, 237)(100, 372)(101, 238)(102, 317)(103, 365)(104, 239)(105, 381)(106, 240)(107, 393)(108, 309)(109, 394)(110, 389)(111, 364)(112, 258)(113, 243)(114, 387)(115, 388)(116, 244)(117, 335)(118, 306)(119, 292)(120, 356)(121, 247)(122, 323)(123, 299)(124, 366)(125, 289)(126, 249)(127, 357)(128, 250)(129, 330)(130, 300)(131, 351)(132, 252)(133, 303)(134, 287)(135, 399)(136, 384)(137, 359)(138, 301)(139, 284)(140, 332)(141, 257)(142, 304)(143, 329)(144, 260)(145, 369)(146, 334)(147, 348)(148, 279)(149, 281)(150, 308)(151, 263)(152, 327)(153, 264)(154, 326)(155, 265)(156, 371)(157, 305)(158, 322)(159, 268)(160, 325)(161, 270)(162, 320)(163, 271)(164, 352)(165, 278)(166, 273)(167, 354)(168, 293)(169, 370)(170, 361)(171, 288)(172, 319)(173, 378)(174, 291)(175, 376)(176, 338)(177, 344)(178, 347)(179, 328)(180, 362)(181, 382)(182, 311)(183, 353)(184, 295)(185, 342)(186, 343)(187, 392)(188, 379)(189, 363)(190, 395)(191, 397)(192, 398)(193, 400)(194, 336)(195, 358)(196, 313)(197, 341)(198, 355)(199, 385)(200, 396)(401, 603)(402, 604)(403, 611)(404, 613)(405, 615)(406, 601)(407, 608)(408, 623)(409, 602)(410, 605)(411, 632)(412, 634)(413, 637)(414, 639)(415, 642)(416, 644)(417, 618)(418, 649)(419, 606)(420, 621)(421, 657)(422, 607)(423, 663)(424, 665)(425, 626)(426, 670)(427, 609)(428, 629)(429, 678)(430, 610)(431, 612)(432, 687)(433, 689)(434, 691)(435, 692)(436, 614)(437, 698)(438, 700)(439, 703)(440, 705)(441, 616)(442, 711)(443, 712)(444, 715)(445, 717)(446, 647)(447, 720)(448, 617)(449, 725)(450, 727)(451, 652)(452, 731)(453, 619)(454, 655)(455, 736)(456, 620)(457, 740)(458, 713)(459, 660)(460, 743)(461, 622)(462, 624)(463, 750)(464, 752)(465, 754)(466, 756)(467, 668)(468, 758)(469, 625)(470, 730)(471, 762)(472, 673)(473, 765)(474, 627)(475, 676)(476, 757)(477, 628)(478, 766)(479, 772)(480, 681)(481, 723)(482, 630)(483, 684)(484, 779)(485, 631)(486, 633)(487, 653)(488, 697)(489, 726)(490, 635)(491, 785)(492, 646)(493, 787)(494, 695)(495, 789)(496, 636)(497, 638)(498, 674)(499, 749)(500, 761)(501, 656)(502, 640)(503, 792)(504, 659)(505, 667)(506, 707)(507, 708)(508, 751)(509, 641)(510, 643)(511, 776)(512, 722)(513, 770)(514, 645)(515, 729)(516, 666)(517, 773)(518, 719)(519, 748)(520, 763)(521, 742)(522, 759)(523, 648)(524, 650)(525, 680)(526, 755)(527, 753)(528, 739)(529, 744)(530, 651)(531, 669)(532, 741)(533, 734)(534, 710)(535, 654)(536, 724)(537, 738)(538, 782)(539, 658)(540, 679)(541, 780)(542, 774)(543, 764)(544, 795)(545, 661)(546, 747)(547, 683)(548, 662)(549, 664)(550, 745)(551, 732)(552, 786)(553, 735)(554, 793)(555, 737)(556, 721)(557, 728)(558, 777)(559, 798)(560, 671)(561, 796)(562, 797)(563, 784)(564, 672)(565, 704)(566, 794)(567, 685)(568, 769)(569, 696)(570, 675)(571, 677)(572, 701)(573, 760)(574, 775)(575, 788)(576, 682)(577, 778)(578, 702)(579, 694)(580, 781)(581, 706)(582, 686)(583, 688)(584, 690)(585, 800)(586, 693)(587, 791)(588, 716)(589, 746)(590, 771)(591, 699)(592, 768)(593, 718)(594, 790)(595, 709)(596, 799)(597, 714)(598, 733)(599, 783)(600, 767)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E26.1432
Transitivity :: VT+
Graph:: bipartite
	v = 100 e = 400 f = 250
	degree seq :: [ 8^100 ]

E26.1436 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 104})
Quotient :: regular
Aut^+ = C104 : C2 (small group id <208, 6>)
Aut   = (C2 x D104) : C2 (small group id <416, 129>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-2)^2, (T1 * T2)^4, T2 * T1^-1 * T2 * T1^51, T1^-2 * T2 * T1^25 * T2 * T1^-25 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 45, 53, 61, 102, 94, 84, 91, 85, 92, 100, 106, 110, 114, 119, 192, 178, 160, 142, 130, 124, 126, 132, 144, 162, 180, 194, 202, 197, 190, 171, 157, 135, 147, 137, 149, 165, 182, 121, 66, 58, 50, 42, 34, 26, 16, 23, 17, 24, 32, 40, 48, 56, 64, 104, 96, 87, 78, 72, 69, 70, 73, 79, 88, 97, 105, 109, 113, 118, 189, 174, 154, 168, 156, 170, 185, 196, 204, 208, 205, 199, 186, 175, 151, 139, 127, 133, 145, 163, 68, 60, 52, 44, 36, 28, 19, 10, 4)(3, 7, 15, 25, 33, 41, 49, 57, 65, 99, 89, 82, 74, 81, 77, 86, 95, 103, 108, 112, 116, 122, 181, 166, 146, 138, 128, 136, 152, 172, 187, 198, 201, 207, 179, 195, 143, 169, 125, 167, 129, 173, 159, 117, 63, 54, 47, 38, 31, 21, 14, 6, 13, 9, 18, 27, 35, 43, 51, 59, 67, 98, 90, 80, 76, 71, 75, 83, 93, 101, 107, 111, 115, 120, 183, 164, 150, 134, 148, 140, 158, 176, 191, 200, 206, 193, 203, 161, 184, 131, 155, 123, 153, 141, 188, 177, 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, 117)(63, 104)(67, 121)(68, 98)(69, 123)(70, 125)(71, 127)(72, 129)(73, 131)(74, 133)(75, 135)(76, 137)(77, 139)(78, 141)(79, 143)(80, 145)(81, 147)(82, 149)(83, 151)(84, 153)(85, 155)(86, 157)(87, 159)(88, 161)(89, 163)(90, 165)(91, 167)(92, 169)(93, 171)(94, 173)(95, 175)(96, 177)(97, 179)(99, 182)(100, 184)(101, 186)(102, 188)(103, 190)(105, 193)(106, 195)(107, 197)(108, 199)(109, 201)(110, 203)(111, 205)(112, 202)(113, 200)(114, 207)(115, 194)(116, 208)(118, 187)(119, 206)(120, 204)(122, 180)(124, 148)(126, 138)(128, 168)(130, 136)(132, 150)(134, 156)(140, 154)(142, 158)(144, 166)(146, 170)(152, 174)(160, 172)(162, 183)(164, 185)(176, 189)(178, 191)(181, 196)(192, 198)
	local type(s) :: { ( 4^104 ) }
Outer automorphisms :: reflexible
Dual of E26.1437
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 104 f = 52
	degree seq :: [ 104^2 ]

E26.1437 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 104})
Quotient :: regular
Aut^+ = C104 : C2 (small group id <208, 6>)
Aut   = (C2 x D104) : C2 (small group id <416, 129>)
|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^-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, 42, 38, 39)(40, 57, 41, 59)(43, 67, 44, 61)(45, 65, 46, 63)(47, 71, 48, 69)(49, 75, 50, 73)(51, 79, 52, 77)(53, 83, 54, 81)(55, 87, 56, 85)(58, 91, 60, 89)(62, 93, 68, 95)(64, 98, 66, 97)(70, 101, 72, 102)(74, 104, 76, 105)(78, 109, 80, 110)(82, 113, 84, 114)(86, 117, 88, 118)(90, 121, 92, 122)(94, 125, 96, 126)(99, 129, 100, 130)(103, 134, 108, 133)(106, 137, 107, 138)(111, 142, 112, 141)(115, 145, 116, 144)(119, 150, 120, 149)(123, 154, 124, 153)(127, 158, 128, 157)(131, 162, 132, 161)(135, 166, 136, 165)(139, 170, 140, 169)(143, 173, 148, 174)(146, 178, 147, 177)(151, 181, 152, 182)(155, 184, 156, 185)(159, 189, 160, 190)(163, 193, 164, 194)(167, 197, 168, 198)(171, 201, 172, 202)(175, 205, 176, 206)(179, 208, 180, 207)(183, 203, 188, 204)(186, 200, 187, 199)(191, 196, 192, 195)
	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, 57)(36, 59)(39, 61)(40, 63)(41, 65)(42, 67)(43, 69)(44, 71)(45, 73)(46, 75)(47, 77)(48, 79)(49, 81)(50, 83)(51, 85)(52, 87)(53, 89)(54, 91)(55, 93)(56, 95)(58, 98)(60, 97)(62, 102)(64, 105)(66, 104)(68, 101)(70, 110)(72, 109)(74, 114)(76, 113)(78, 118)(80, 117)(82, 122)(84, 121)(86, 126)(88, 125)(90, 130)(92, 129)(94, 134)(96, 133)(99, 137)(100, 138)(103, 141)(106, 144)(107, 145)(108, 142)(111, 149)(112, 150)(115, 153)(116, 154)(119, 157)(120, 158)(123, 161)(124, 162)(127, 165)(128, 166)(131, 169)(132, 170)(135, 173)(136, 174)(139, 178)(140, 177)(143, 182)(146, 185)(147, 184)(148, 181)(151, 190)(152, 189)(155, 194)(156, 193)(159, 198)(160, 197)(163, 202)(164, 201)(167, 206)(168, 205)(171, 207)(172, 208)(175, 203)(176, 204)(179, 200)(180, 199)(183, 195)(186, 192)(187, 191)(188, 196)
	local type(s) :: { ( 104^4 ) }
Outer automorphisms :: reflexible
Dual of E26.1436
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 52 e = 104 f = 2
	degree seq :: [ 4^52 ]

E26.1438 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 104})
Quotient :: edge
Aut^+ = C104 : C2 (small group id <208, 6>)
Aut   = (C2 x D104) : C2 (small group id <416, 129>)
|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^-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, 10, 5)(2, 6, 18, 8)(4, 13, 28, 14)(7, 21, 38, 22)(9, 25, 15, 27)(11, 29, 16, 30)(12, 26, 48, 32)(17, 35, 23, 37)(19, 39, 24, 40)(20, 36, 62, 42)(31, 54, 80, 55)(33, 57, 34, 58)(41, 68, 96, 69)(43, 71, 44, 72)(45, 73, 49, 75)(46, 76, 50, 77)(47, 74, 56, 79)(51, 81, 52, 82)(53, 78, 109, 84)(59, 89, 63, 91)(60, 92, 64, 93)(61, 90, 70, 95)(65, 97, 66, 98)(67, 94, 125, 100)(83, 114, 140, 115)(85, 117, 86, 118)(87, 119, 88, 120)(99, 130, 154, 131)(101, 133, 102, 134)(103, 135, 104, 136)(105, 122, 110, 123)(106, 126, 107, 121)(108, 137, 116, 139)(111, 141, 112, 142)(113, 138, 166, 144)(124, 151, 132, 153)(127, 155, 128, 156)(129, 152, 180, 158)(143, 170, 194, 171)(145, 173, 146, 174)(147, 175, 148, 176)(149, 177, 150, 178)(157, 184, 202, 185)(159, 187, 160, 188)(161, 189, 162, 190)(163, 191, 164, 192)(165, 182, 172, 181)(167, 179, 168, 186)(169, 193, 204, 195)(183, 201, 196, 203)(197, 208, 198, 207)(199, 205, 200, 206)(209, 210)(211, 217)(212, 220)(213, 223)(214, 225)(215, 228)(216, 231)(218, 226)(219, 229)(221, 227)(222, 232)(224, 230)(233, 253)(234, 255)(235, 257)(236, 256)(237, 254)(238, 258)(239, 261)(240, 264)(241, 262)(242, 263)(243, 267)(244, 269)(245, 271)(246, 270)(247, 268)(248, 272)(249, 275)(250, 278)(251, 276)(252, 277)(259, 279)(260, 280)(265, 273)(266, 274)(281, 300)(282, 313)(283, 301)(284, 297)(285, 299)(286, 316)(287, 318)(288, 317)(289, 314)(290, 315)(291, 321)(292, 324)(293, 322)(294, 323)(295, 325)(296, 326)(298, 329)(302, 332)(303, 334)(304, 333)(305, 330)(306, 331)(307, 337)(308, 340)(309, 338)(310, 339)(311, 341)(312, 342)(319, 343)(320, 344)(327, 335)(328, 336)(345, 364)(346, 373)(347, 363)(348, 374)(349, 361)(350, 359)(351, 377)(352, 380)(353, 378)(354, 379)(355, 381)(356, 382)(357, 383)(358, 384)(360, 387)(362, 388)(365, 391)(366, 394)(367, 392)(368, 393)(369, 395)(370, 396)(371, 397)(372, 398)(375, 399)(376, 400)(385, 389)(386, 390)(401, 413)(402, 412)(403, 414)(404, 410)(405, 409)(406, 411)(407, 416)(408, 415)
	L = (1, 209)(2, 210)(3, 211)(4, 212)(5, 213)(6, 214)(7, 215)(8, 216)(9, 217)(10, 218)(11, 219)(12, 220)(13, 221)(14, 222)(15, 223)(16, 224)(17, 225)(18, 226)(19, 227)(20, 228)(21, 229)(22, 230)(23, 231)(24, 232)(25, 233)(26, 234)(27, 235)(28, 236)(29, 237)(30, 238)(31, 239)(32, 240)(33, 241)(34, 242)(35, 243)(36, 244)(37, 245)(38, 246)(39, 247)(40, 248)(41, 249)(42, 250)(43, 251)(44, 252)(45, 253)(46, 254)(47, 255)(48, 256)(49, 257)(50, 258)(51, 259)(52, 260)(53, 261)(54, 262)(55, 263)(56, 264)(57, 265)(58, 266)(59, 267)(60, 268)(61, 269)(62, 270)(63, 271)(64, 272)(65, 273)(66, 274)(67, 275)(68, 276)(69, 277)(70, 278)(71, 279)(72, 280)(73, 281)(74, 282)(75, 283)(76, 284)(77, 285)(78, 286)(79, 287)(80, 288)(81, 289)(82, 290)(83, 291)(84, 292)(85, 293)(86, 294)(87, 295)(88, 296)(89, 297)(90, 298)(91, 299)(92, 300)(93, 301)(94, 302)(95, 303)(96, 304)(97, 305)(98, 306)(99, 307)(100, 308)(101, 309)(102, 310)(103, 311)(104, 312)(105, 313)(106, 314)(107, 315)(108, 316)(109, 317)(110, 318)(111, 319)(112, 320)(113, 321)(114, 322)(115, 323)(116, 324)(117, 325)(118, 326)(119, 327)(120, 328)(121, 329)(122, 330)(123, 331)(124, 332)(125, 333)(126, 334)(127, 335)(128, 336)(129, 337)(130, 338)(131, 339)(132, 340)(133, 341)(134, 342)(135, 343)(136, 344)(137, 345)(138, 346)(139, 347)(140, 348)(141, 349)(142, 350)(143, 351)(144, 352)(145, 353)(146, 354)(147, 355)(148, 356)(149, 357)(150, 358)(151, 359)(152, 360)(153, 361)(154, 362)(155, 363)(156, 364)(157, 365)(158, 366)(159, 367)(160, 368)(161, 369)(162, 370)(163, 371)(164, 372)(165, 373)(166, 374)(167, 375)(168, 376)(169, 377)(170, 378)(171, 379)(172, 380)(173, 381)(174, 382)(175, 383)(176, 384)(177, 385)(178, 386)(179, 387)(180, 388)(181, 389)(182, 390)(183, 391)(184, 392)(185, 393)(186, 394)(187, 395)(188, 396)(189, 397)(190, 398)(191, 399)(192, 400)(193, 401)(194, 402)(195, 403)(196, 404)(197, 405)(198, 406)(199, 407)(200, 408)(201, 409)(202, 410)(203, 411)(204, 412)(205, 413)(206, 414)(207, 415)(208, 416)
	local type(s) :: { ( 208, 208 ), ( 208^4 ) }
Outer automorphisms :: reflexible
Dual of E26.1442
Transitivity :: ET+
Graph:: simple bipartite
	v = 156 e = 208 f = 2
	degree seq :: [ 2^104, 4^52 ]

E26.1439 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 104})
Quotient :: edge
Aut^+ = C104 : C2 (small group id <208, 6>)
Aut   = (C2 x D104) : C2 (small group id <416, 129>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2 * T1^-1)^2, (T2^-1 * T1^-1)^2, T2^51 * T1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 18, 26, 34, 42, 50, 58, 66, 98, 90, 82, 74, 81, 89, 97, 105, 109, 113, 117, 194, 181, 165, 149, 134, 124, 130, 145, 161, 177, 191, 200, 204, 198, 184, 171, 153, 139, 126, 142, 156, 174, 187, 118, 62, 54, 46, 38, 30, 22, 14, 6, 13, 21, 29, 37, 45, 53, 61, 104, 96, 88, 80, 73, 69, 71, 78, 86, 94, 102, 107, 111, 115, 121, 183, 168, 152, 136, 151, 167, 182, 195, 203, 208, 206, 196, 186, 169, 155, 137, 128, 140, 158, 172, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 101, 93, 85, 77, 72, 79, 87, 95, 103, 108, 112, 116, 122, 188, 173, 157, 141, 127, 138, 154, 170, 185, 197, 205, 201, 190, 178, 160, 146, 129, 125, 133, 150, 164, 120, 65, 57, 49, 41, 33, 25, 17, 9, 4, 11, 19, 27, 35, 43, 51, 59, 67, 100, 92, 84, 76, 70, 75, 83, 91, 99, 106, 110, 114, 119, 189, 175, 159, 143, 132, 147, 163, 179, 193, 202, 207, 199, 192, 176, 162, 144, 131, 123, 135, 148, 166, 180, 64, 56, 48, 40, 32, 24, 16, 8)(209, 210, 214, 212)(211, 217, 221, 216)(213, 219, 222, 215)(218, 224, 229, 225)(220, 223, 230, 227)(226, 233, 237, 232)(228, 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, 312, 273)(268, 271, 326, 275)(274, 328, 304, 388)(276, 308, 395, 309)(277, 331, 282, 333)(278, 334, 280, 336)(279, 337, 289, 339)(281, 341, 290, 343)(283, 345, 287, 347)(284, 348, 285, 350)(286, 352, 297, 354)(288, 356, 298, 358)(291, 361, 295, 363)(292, 364, 293, 366)(294, 368, 305, 370)(296, 372, 306, 374)(299, 377, 303, 379)(300, 380, 301, 382)(302, 384, 313, 386)(307, 392, 311, 394)(310, 398, 317, 400)(314, 404, 316, 406)(315, 407, 321, 409)(318, 412, 320, 414)(319, 413, 325, 415)(322, 416, 324, 408)(323, 410, 402, 405)(327, 399, 330, 411)(329, 393, 389, 401)(332, 340, 344, 335)(338, 349, 359, 351)(342, 346, 360, 355)(353, 367, 375, 365)(357, 371, 376, 362)(369, 381, 390, 383)(373, 378, 391, 387)(385, 397, 403, 396)
	L = (1, 209)(2, 210)(3, 211)(4, 212)(5, 213)(6, 214)(7, 215)(8, 216)(9, 217)(10, 218)(11, 219)(12, 220)(13, 221)(14, 222)(15, 223)(16, 224)(17, 225)(18, 226)(19, 227)(20, 228)(21, 229)(22, 230)(23, 231)(24, 232)(25, 233)(26, 234)(27, 235)(28, 236)(29, 237)(30, 238)(31, 239)(32, 240)(33, 241)(34, 242)(35, 243)(36, 244)(37, 245)(38, 246)(39, 247)(40, 248)(41, 249)(42, 250)(43, 251)(44, 252)(45, 253)(46, 254)(47, 255)(48, 256)(49, 257)(50, 258)(51, 259)(52, 260)(53, 261)(54, 262)(55, 263)(56, 264)(57, 265)(58, 266)(59, 267)(60, 268)(61, 269)(62, 270)(63, 271)(64, 272)(65, 273)(66, 274)(67, 275)(68, 276)(69, 277)(70, 278)(71, 279)(72, 280)(73, 281)(74, 282)(75, 283)(76, 284)(77, 285)(78, 286)(79, 287)(80, 288)(81, 289)(82, 290)(83, 291)(84, 292)(85, 293)(86, 294)(87, 295)(88, 296)(89, 297)(90, 298)(91, 299)(92, 300)(93, 301)(94, 302)(95, 303)(96, 304)(97, 305)(98, 306)(99, 307)(100, 308)(101, 309)(102, 310)(103, 311)(104, 312)(105, 313)(106, 314)(107, 315)(108, 316)(109, 317)(110, 318)(111, 319)(112, 320)(113, 321)(114, 322)(115, 323)(116, 324)(117, 325)(118, 326)(119, 327)(120, 328)(121, 329)(122, 330)(123, 331)(124, 332)(125, 333)(126, 334)(127, 335)(128, 336)(129, 337)(130, 338)(131, 339)(132, 340)(133, 341)(134, 342)(135, 343)(136, 344)(137, 345)(138, 346)(139, 347)(140, 348)(141, 349)(142, 350)(143, 351)(144, 352)(145, 353)(146, 354)(147, 355)(148, 356)(149, 357)(150, 358)(151, 359)(152, 360)(153, 361)(154, 362)(155, 363)(156, 364)(157, 365)(158, 366)(159, 367)(160, 368)(161, 369)(162, 370)(163, 371)(164, 372)(165, 373)(166, 374)(167, 375)(168, 376)(169, 377)(170, 378)(171, 379)(172, 380)(173, 381)(174, 382)(175, 383)(176, 384)(177, 385)(178, 386)(179, 387)(180, 388)(181, 389)(182, 390)(183, 391)(184, 392)(185, 393)(186, 394)(187, 395)(188, 396)(189, 397)(190, 398)(191, 399)(192, 400)(193, 401)(194, 402)(195, 403)(196, 404)(197, 405)(198, 406)(199, 407)(200, 408)(201, 409)(202, 410)(203, 411)(204, 412)(205, 413)(206, 414)(207, 415)(208, 416)
	local type(s) :: { ( 4^4 ), ( 4^104 ) }
Outer automorphisms :: reflexible
Dual of E26.1443
Transitivity :: ET+
Graph:: bipartite
	v = 54 e = 208 f = 104
	degree seq :: [ 4^52, 104^2 ]

E26.1440 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 104})
Quotient :: edge
Aut^+ = C104 : C2 (small group id <208, 6>)
Aut   = (C2 x D104) : C2 (small group id <416, 129>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-2)^2, (T2 * T1)^4, T2 * T1^-1 * T2 * T1^51, T1^-2 * T2 * T1^25 * T2 * T1^-25 ]
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, 129)(63, 131)(67, 136)(68, 135)(69, 139)(70, 140)(71, 141)(72, 142)(73, 143)(74, 144)(75, 145)(76, 146)(77, 147)(78, 148)(79, 149)(80, 150)(81, 151)(82, 152)(83, 153)(84, 154)(85, 155)(86, 156)(87, 157)(88, 158)(89, 159)(90, 160)(91, 161)(92, 162)(93, 163)(94, 164)(95, 165)(96, 166)(97, 167)(98, 168)(99, 169)(100, 170)(101, 171)(102, 172)(103, 173)(104, 174)(105, 175)(106, 176)(107, 177)(108, 178)(109, 179)(110, 180)(111, 181)(112, 182)(113, 183)(114, 184)(115, 185)(116, 186)(117, 187)(118, 188)(119, 189)(120, 191)(121, 192)(122, 193)(123, 194)(124, 195)(125, 196)(126, 197)(127, 198)(128, 200)(130, 203)(132, 204)(133, 205)(134, 206)(137, 207)(138, 201)(190, 208)(199, 202)(209, 210, 213, 219, 228, 237, 245, 253, 261, 269, 335, 325, 319, 309, 303, 291, 285, 279, 282, 288, 297, 306, 314, 322, 330, 338, 409, 408, 399, 390, 382, 374, 365, 356, 350, 347, 348, 351, 357, 366, 375, 383, 391, 400, 344, 274, 266, 258, 250, 242, 234, 224, 231, 225, 232, 240, 248, 256, 264, 272, 339, 345, 333, 327, 317, 311, 301, 294, 283, 289, 284, 290, 298, 307, 315, 323, 331, 340, 410, 416, 414, 405, 396, 388, 380, 372, 362, 369, 363, 370, 378, 386, 394, 403, 413, 276, 268, 260, 252, 244, 236, 227, 218, 212)(211, 215, 223, 233, 241, 249, 257, 265, 273, 329, 341, 313, 324, 296, 308, 281, 293, 277, 292, 286, 310, 304, 326, 320, 342, 336, 407, 411, 402, 392, 385, 376, 368, 358, 354, 349, 353, 361, 371, 379, 387, 395, 404, 337, 271, 262, 255, 246, 239, 229, 222, 214, 221, 217, 226, 235, 243, 251, 259, 267, 275, 343, 321, 332, 305, 316, 287, 300, 278, 299, 280, 302, 295, 318, 312, 334, 328, 398, 346, 412, 401, 393, 384, 377, 367, 360, 352, 359, 355, 364, 373, 381, 389, 397, 406, 415, 270, 263, 254, 247, 238, 230, 220, 216)
	L = (1, 209)(2, 210)(3, 211)(4, 212)(5, 213)(6, 214)(7, 215)(8, 216)(9, 217)(10, 218)(11, 219)(12, 220)(13, 221)(14, 222)(15, 223)(16, 224)(17, 225)(18, 226)(19, 227)(20, 228)(21, 229)(22, 230)(23, 231)(24, 232)(25, 233)(26, 234)(27, 235)(28, 236)(29, 237)(30, 238)(31, 239)(32, 240)(33, 241)(34, 242)(35, 243)(36, 244)(37, 245)(38, 246)(39, 247)(40, 248)(41, 249)(42, 250)(43, 251)(44, 252)(45, 253)(46, 254)(47, 255)(48, 256)(49, 257)(50, 258)(51, 259)(52, 260)(53, 261)(54, 262)(55, 263)(56, 264)(57, 265)(58, 266)(59, 267)(60, 268)(61, 269)(62, 270)(63, 271)(64, 272)(65, 273)(66, 274)(67, 275)(68, 276)(69, 277)(70, 278)(71, 279)(72, 280)(73, 281)(74, 282)(75, 283)(76, 284)(77, 285)(78, 286)(79, 287)(80, 288)(81, 289)(82, 290)(83, 291)(84, 292)(85, 293)(86, 294)(87, 295)(88, 296)(89, 297)(90, 298)(91, 299)(92, 300)(93, 301)(94, 302)(95, 303)(96, 304)(97, 305)(98, 306)(99, 307)(100, 308)(101, 309)(102, 310)(103, 311)(104, 312)(105, 313)(106, 314)(107, 315)(108, 316)(109, 317)(110, 318)(111, 319)(112, 320)(113, 321)(114, 322)(115, 323)(116, 324)(117, 325)(118, 326)(119, 327)(120, 328)(121, 329)(122, 330)(123, 331)(124, 332)(125, 333)(126, 334)(127, 335)(128, 336)(129, 337)(130, 338)(131, 339)(132, 340)(133, 341)(134, 342)(135, 343)(136, 344)(137, 345)(138, 346)(139, 347)(140, 348)(141, 349)(142, 350)(143, 351)(144, 352)(145, 353)(146, 354)(147, 355)(148, 356)(149, 357)(150, 358)(151, 359)(152, 360)(153, 361)(154, 362)(155, 363)(156, 364)(157, 365)(158, 366)(159, 367)(160, 368)(161, 369)(162, 370)(163, 371)(164, 372)(165, 373)(166, 374)(167, 375)(168, 376)(169, 377)(170, 378)(171, 379)(172, 380)(173, 381)(174, 382)(175, 383)(176, 384)(177, 385)(178, 386)(179, 387)(180, 388)(181, 389)(182, 390)(183, 391)(184, 392)(185, 393)(186, 394)(187, 395)(188, 396)(189, 397)(190, 398)(191, 399)(192, 400)(193, 401)(194, 402)(195, 403)(196, 404)(197, 405)(198, 406)(199, 407)(200, 408)(201, 409)(202, 410)(203, 411)(204, 412)(205, 413)(206, 414)(207, 415)(208, 416)
	local type(s) :: { ( 8, 8 ), ( 8^104 ) }
Outer automorphisms :: reflexible
Dual of E26.1441
Transitivity :: ET+
Graph:: simple bipartite
	v = 106 e = 208 f = 52
	degree seq :: [ 2^104, 104^2 ]

E26.1441 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 104})
Quotient :: loop
Aut^+ = C104 : C2 (small group id <208, 6>)
Aut   = (C2 x D104) : C2 (small group id <416, 129>)
|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^-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, 209, 3, 211, 8, 216, 4, 212)(2, 210, 5, 213, 11, 219, 6, 214)(7, 215, 13, 221, 9, 217, 14, 222)(10, 218, 15, 223, 12, 220, 16, 224)(17, 225, 21, 229, 18, 226, 22, 230)(19, 227, 23, 231, 20, 228, 24, 232)(25, 233, 29, 237, 26, 234, 30, 238)(27, 235, 31, 239, 28, 236, 32, 240)(33, 241, 37, 245, 34, 242, 38, 246)(35, 243, 65, 273, 36, 244, 67, 275)(39, 247, 70, 278, 46, 254, 72, 280)(40, 248, 74, 282, 49, 257, 76, 284)(41, 249, 78, 286, 42, 250, 73, 281)(43, 251, 83, 291, 44, 252, 69, 277)(45, 253, 87, 295, 47, 255, 89, 297)(48, 256, 92, 300, 50, 258, 94, 302)(51, 259, 80, 288, 52, 260, 77, 285)(53, 261, 85, 293, 54, 262, 82, 290)(55, 263, 101, 309, 56, 264, 103, 311)(57, 265, 105, 313, 58, 266, 107, 315)(59, 267, 109, 317, 60, 268, 111, 319)(61, 269, 113, 321, 62, 270, 115, 323)(63, 271, 117, 325, 64, 272, 119, 327)(66, 274, 122, 330, 68, 276, 121, 329)(71, 279, 128, 336, 90, 298, 126, 334)(75, 283, 133, 341, 95, 303, 131, 339)(79, 287, 130, 338, 81, 289, 132, 340)(84, 292, 125, 333, 86, 294, 127, 335)(88, 296, 144, 352, 91, 299, 143, 351)(93, 301, 149, 357, 96, 304, 148, 356)(97, 305, 135, 343, 98, 306, 136, 344)(99, 307, 139, 347, 100, 308, 140, 348)(102, 310, 158, 366, 104, 312, 157, 365)(106, 314, 162, 370, 108, 316, 161, 369)(110, 318, 166, 374, 112, 320, 165, 373)(114, 322, 170, 378, 116, 324, 169, 377)(118, 326, 174, 382, 120, 328, 173, 381)(123, 331, 177, 385, 124, 332, 178, 386)(129, 337, 182, 390, 146, 354, 184, 392)(134, 342, 187, 395, 151, 359, 189, 397)(137, 345, 188, 396, 138, 346, 186, 394)(141, 349, 183, 391, 142, 350, 181, 389)(145, 353, 199, 407, 147, 355, 200, 408)(150, 358, 203, 411, 152, 360, 201, 409)(153, 361, 192, 400, 154, 362, 191, 399)(155, 363, 196, 404, 156, 364, 195, 403)(159, 367, 190, 398, 160, 368, 204, 412)(163, 371, 185, 393, 164, 372, 202, 410)(167, 375, 193, 401, 168, 376, 194, 402)(171, 379, 197, 405, 172, 380, 198, 406)(175, 383, 205, 413, 176, 384, 206, 414)(179, 387, 207, 415, 180, 388, 208, 416)
	L = (1, 210)(2, 209)(3, 215)(4, 217)(5, 218)(6, 220)(7, 211)(8, 219)(9, 212)(10, 213)(11, 216)(12, 214)(13, 225)(14, 226)(15, 227)(16, 228)(17, 221)(18, 222)(19, 223)(20, 224)(21, 233)(22, 234)(23, 235)(24, 236)(25, 229)(26, 230)(27, 231)(28, 232)(29, 241)(30, 242)(31, 243)(32, 244)(33, 237)(34, 238)(35, 239)(36, 240)(37, 262)(38, 261)(39, 277)(40, 281)(41, 285)(42, 288)(43, 290)(44, 293)(45, 278)(46, 291)(47, 280)(48, 282)(49, 286)(50, 284)(51, 275)(52, 273)(53, 246)(54, 245)(55, 295)(56, 297)(57, 300)(58, 302)(59, 309)(60, 311)(61, 313)(62, 315)(63, 317)(64, 319)(65, 260)(66, 321)(67, 259)(68, 323)(69, 247)(70, 253)(71, 335)(72, 255)(73, 248)(74, 256)(75, 340)(76, 258)(77, 249)(78, 257)(79, 344)(80, 250)(81, 343)(82, 251)(83, 254)(84, 348)(85, 252)(86, 347)(87, 263)(88, 336)(89, 264)(90, 333)(91, 334)(92, 265)(93, 341)(94, 266)(95, 338)(96, 339)(97, 329)(98, 330)(99, 327)(100, 325)(101, 267)(102, 352)(103, 268)(104, 351)(105, 269)(106, 357)(107, 270)(108, 356)(109, 271)(110, 366)(111, 272)(112, 365)(113, 274)(114, 370)(115, 276)(116, 369)(117, 308)(118, 374)(119, 307)(120, 373)(121, 305)(122, 306)(123, 378)(124, 377)(125, 298)(126, 299)(127, 279)(128, 296)(129, 389)(130, 303)(131, 304)(132, 283)(133, 301)(134, 394)(135, 289)(136, 287)(137, 399)(138, 400)(139, 294)(140, 292)(141, 403)(142, 404)(143, 312)(144, 310)(145, 390)(146, 391)(147, 392)(148, 316)(149, 314)(150, 395)(151, 396)(152, 397)(153, 386)(154, 385)(155, 381)(156, 382)(157, 320)(158, 318)(159, 407)(160, 408)(161, 324)(162, 322)(163, 411)(164, 409)(165, 328)(166, 326)(167, 398)(168, 412)(169, 332)(170, 331)(171, 393)(172, 410)(173, 363)(174, 364)(175, 401)(176, 402)(177, 362)(178, 361)(179, 405)(180, 406)(181, 337)(182, 353)(183, 354)(184, 355)(185, 379)(186, 342)(187, 358)(188, 359)(189, 360)(190, 375)(191, 345)(192, 346)(193, 383)(194, 384)(195, 349)(196, 350)(197, 387)(198, 388)(199, 367)(200, 368)(201, 372)(202, 380)(203, 371)(204, 376)(205, 416)(206, 415)(207, 414)(208, 413)
	local type(s) :: { ( 2, 104, 2, 104, 2, 104, 2, 104 ) }
Outer automorphisms :: reflexible
Dual of E26.1440
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 52 e = 208 f = 106
	degree seq :: [ 8^52 ]

E26.1442 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 104})
Quotient :: loop
Aut^+ = C104 : C2 (small group id <208, 6>)
Aut   = (C2 x D104) : C2 (small group id <416, 129>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2 * T1^-1)^2, (T2^-1 * T1^-1)^2, T2^51 * T1 * T2^-1 * T1^-1 ]
Map::
	R = (1, 209, 3, 211, 10, 218, 18, 226, 26, 234, 34, 242, 42, 250, 50, 258, 58, 266, 66, 274, 73, 281, 79, 287, 82, 290, 87, 295, 90, 298, 95, 303, 98, 306, 104, 312, 144, 352, 150, 358, 153, 361, 158, 366, 161, 369, 166, 374, 169, 377, 174, 382, 177, 385, 208, 416, 204, 412, 200, 408, 196, 404, 192, 400, 188, 396, 183, 391, 147, 355, 140, 348, 135, 343, 130, 338, 126, 334, 122, 330, 118, 326, 114, 322, 110, 318, 107, 315, 102, 310, 62, 270, 54, 262, 46, 254, 38, 246, 30, 238, 22, 230, 14, 222, 6, 214, 13, 221, 21, 229, 29, 237, 37, 245, 45, 253, 53, 261, 61, 269, 75, 283, 70, 278, 74, 282, 78, 286, 83, 291, 86, 294, 91, 299, 94, 302, 99, 307, 103, 311, 142, 350, 149, 357, 154, 362, 157, 365, 162, 370, 165, 373, 170, 378, 173, 381, 180, 388, 207, 415, 203, 411, 199, 407, 195, 403, 191, 399, 187, 395, 182, 390, 145, 353, 138, 346, 133, 341, 129, 337, 125, 333, 121, 329, 117, 325, 113, 321, 109, 317, 68, 276, 60, 268, 52, 260, 44, 252, 36, 244, 28, 236, 20, 228, 12, 220, 5, 213)(2, 210, 7, 215, 15, 223, 23, 231, 31, 239, 39, 247, 47, 255, 55, 263, 63, 271, 69, 277, 77, 285, 76, 284, 85, 293, 84, 292, 93, 301, 92, 300, 101, 309, 100, 308, 139, 347, 148, 356, 152, 360, 155, 363, 160, 368, 163, 371, 168, 376, 171, 379, 176, 384, 181, 389, 206, 414, 202, 410, 198, 406, 194, 402, 190, 398, 186, 394, 179, 387, 143, 351, 137, 345, 132, 340, 128, 336, 124, 332, 120, 328, 116, 324, 112, 320, 105, 313, 65, 273, 57, 265, 49, 257, 41, 249, 33, 241, 25, 233, 17, 225, 9, 217, 4, 212, 11, 219, 19, 227, 27, 235, 35, 243, 43, 251, 51, 259, 59, 267, 67, 275, 72, 280, 71, 279, 81, 289, 80, 288, 89, 297, 88, 296, 97, 305, 96, 304, 134, 342, 106, 314, 146, 354, 151, 359, 156, 364, 159, 367, 164, 372, 167, 375, 172, 380, 175, 383, 184, 392, 205, 413, 201, 409, 197, 405, 193, 401, 189, 397, 185, 393, 178, 386, 141, 349, 136, 344, 131, 339, 127, 335, 123, 331, 119, 327, 115, 323, 111, 319, 108, 316, 64, 272, 56, 264, 48, 256, 40, 248, 32, 240, 24, 232, 16, 224, 8, 216)
	L = (1, 210)(2, 214)(3, 217)(4, 209)(5, 219)(6, 212)(7, 213)(8, 211)(9, 221)(10, 224)(11, 222)(12, 223)(13, 216)(14, 215)(15, 230)(16, 229)(17, 218)(18, 233)(19, 220)(20, 235)(21, 225)(22, 227)(23, 228)(24, 226)(25, 237)(26, 240)(27, 238)(28, 239)(29, 232)(30, 231)(31, 246)(32, 245)(33, 234)(34, 249)(35, 236)(36, 251)(37, 241)(38, 243)(39, 244)(40, 242)(41, 253)(42, 256)(43, 254)(44, 255)(45, 248)(46, 247)(47, 262)(48, 261)(49, 250)(50, 265)(51, 252)(52, 267)(53, 257)(54, 259)(55, 260)(56, 258)(57, 269)(58, 272)(59, 270)(60, 271)(61, 264)(62, 263)(63, 310)(64, 283)(65, 266)(66, 313)(67, 268)(68, 280)(69, 276)(70, 316)(71, 317)(72, 315)(73, 319)(74, 320)(75, 273)(76, 321)(77, 318)(78, 323)(79, 324)(80, 325)(81, 322)(82, 327)(83, 328)(84, 329)(85, 326)(86, 331)(87, 332)(88, 333)(89, 330)(90, 335)(91, 336)(92, 337)(93, 334)(94, 339)(95, 340)(96, 341)(97, 338)(98, 344)(99, 345)(100, 346)(101, 343)(102, 275)(103, 349)(104, 351)(105, 278)(106, 353)(107, 277)(108, 274)(109, 285)(110, 279)(111, 282)(112, 281)(113, 289)(114, 284)(115, 287)(116, 286)(117, 293)(118, 288)(119, 291)(120, 290)(121, 297)(122, 292)(123, 295)(124, 294)(125, 301)(126, 296)(127, 299)(128, 298)(129, 305)(130, 300)(131, 303)(132, 302)(133, 309)(134, 348)(135, 304)(136, 307)(137, 306)(138, 342)(139, 355)(140, 308)(141, 312)(142, 387)(143, 311)(144, 386)(145, 347)(146, 391)(147, 314)(148, 390)(149, 393)(150, 394)(151, 395)(152, 396)(153, 397)(154, 398)(155, 399)(156, 400)(157, 401)(158, 402)(159, 403)(160, 404)(161, 405)(162, 406)(163, 407)(164, 408)(165, 409)(166, 410)(167, 411)(168, 412)(169, 413)(170, 414)(171, 415)(172, 416)(173, 392)(174, 389)(175, 388)(176, 385)(177, 383)(178, 350)(179, 352)(180, 384)(181, 381)(182, 354)(183, 356)(184, 382)(185, 358)(186, 357)(187, 360)(188, 359)(189, 362)(190, 361)(191, 364)(192, 363)(193, 366)(194, 365)(195, 368)(196, 367)(197, 370)(198, 369)(199, 372)(200, 371)(201, 374)(202, 373)(203, 376)(204, 375)(205, 378)(206, 377)(207, 380)(208, 379)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1438
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 208 f = 156
	degree seq :: [ 208^2 ]

E26.1443 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 104})
Quotient :: loop
Aut^+ = C104 : C2 (small group id <208, 6>)
Aut   = (C2 x D104) : C2 (small group id <416, 129>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-2)^2, (T2 * T1)^4, T2 * T1^-1 * T2 * T1^51, T1^-2 * T2 * T1^25 * T2 * T1^-25 ]
Map:: polytopal non-degenerate
	R = (1, 209, 3, 211)(2, 210, 6, 214)(4, 212, 9, 217)(5, 213, 12, 220)(7, 215, 16, 224)(8, 216, 17, 225)(10, 218, 15, 223)(11, 219, 21, 229)(13, 221, 23, 231)(14, 222, 24, 232)(18, 226, 26, 234)(19, 227, 27, 235)(20, 228, 30, 238)(22, 230, 32, 240)(25, 233, 34, 242)(28, 236, 33, 241)(29, 237, 38, 246)(31, 239, 40, 248)(35, 243, 42, 250)(36, 244, 43, 251)(37, 245, 46, 254)(39, 247, 48, 256)(41, 249, 50, 258)(44, 252, 49, 257)(45, 253, 54, 262)(47, 255, 56, 264)(51, 259, 58, 266)(52, 260, 59, 267)(53, 261, 62, 270)(55, 263, 64, 272)(57, 265, 66, 274)(60, 268, 65, 273)(61, 269, 81, 289)(63, 271, 103, 311)(67, 275, 73, 281)(68, 276, 107, 315)(69, 277, 109, 317)(70, 278, 110, 318)(71, 279, 111, 319)(72, 280, 112, 320)(74, 282, 113, 321)(75, 283, 114, 322)(76, 284, 105, 313)(77, 285, 115, 323)(78, 286, 101, 309)(79, 287, 116, 324)(80, 288, 117, 325)(82, 290, 118, 326)(83, 291, 119, 327)(84, 292, 120, 328)(85, 293, 121, 329)(86, 294, 122, 330)(87, 295, 123, 331)(88, 296, 124, 332)(89, 297, 125, 333)(90, 298, 126, 334)(91, 299, 127, 335)(92, 300, 128, 336)(93, 301, 129, 337)(94, 302, 131, 339)(95, 303, 132, 340)(96, 304, 133, 341)(97, 305, 134, 342)(98, 306, 136, 344)(99, 307, 137, 345)(100, 308, 138, 346)(102, 310, 141, 349)(104, 312, 142, 350)(106, 314, 145, 353)(108, 316, 146, 354)(130, 338, 169, 377)(135, 343, 174, 382)(139, 347, 177, 385)(140, 348, 178, 386)(143, 351, 181, 389)(144, 352, 182, 390)(147, 355, 185, 393)(148, 356, 186, 394)(149, 357, 187, 395)(150, 358, 188, 396)(151, 359, 189, 397)(152, 360, 190, 398)(153, 361, 191, 399)(154, 362, 192, 400)(155, 363, 193, 401)(156, 364, 194, 402)(157, 365, 195, 403)(158, 366, 196, 404)(159, 367, 197, 405)(160, 368, 198, 406)(161, 369, 199, 407)(162, 370, 200, 408)(163, 371, 201, 409)(164, 372, 202, 410)(165, 373, 203, 411)(166, 374, 204, 412)(167, 375, 205, 413)(168, 376, 206, 414)(170, 378, 207, 415)(171, 379, 208, 416)(172, 380, 184, 392)(173, 381, 183, 391)(175, 383, 179, 387)(176, 384, 180, 388)
	L = (1, 210)(2, 213)(3, 215)(4, 209)(5, 219)(6, 221)(7, 223)(8, 211)(9, 226)(10, 212)(11, 228)(12, 216)(13, 217)(14, 214)(15, 233)(16, 231)(17, 232)(18, 235)(19, 218)(20, 237)(21, 222)(22, 220)(23, 225)(24, 240)(25, 241)(26, 224)(27, 243)(28, 227)(29, 245)(30, 230)(31, 229)(32, 248)(33, 249)(34, 234)(35, 251)(36, 236)(37, 253)(38, 239)(39, 238)(40, 256)(41, 257)(42, 242)(43, 259)(44, 244)(45, 261)(46, 247)(47, 246)(48, 264)(49, 265)(50, 250)(51, 267)(52, 252)(53, 269)(54, 255)(55, 254)(56, 272)(57, 273)(58, 258)(59, 275)(60, 260)(61, 309)(62, 263)(63, 262)(64, 311)(65, 313)(66, 266)(67, 315)(68, 268)(69, 270)(70, 289)(71, 286)(72, 284)(73, 274)(74, 276)(75, 290)(76, 281)(77, 282)(78, 277)(79, 280)(80, 294)(81, 271)(82, 278)(83, 287)(84, 285)(85, 298)(86, 279)(87, 292)(88, 291)(89, 302)(90, 283)(91, 296)(92, 295)(93, 306)(94, 288)(95, 300)(96, 299)(97, 312)(98, 293)(99, 304)(100, 303)(101, 326)(102, 338)(103, 317)(104, 297)(105, 321)(106, 308)(107, 320)(108, 307)(109, 318)(110, 319)(111, 322)(112, 323)(113, 324)(114, 325)(115, 327)(116, 328)(117, 329)(118, 330)(119, 331)(120, 332)(121, 333)(122, 334)(123, 335)(124, 336)(125, 337)(126, 339)(127, 340)(128, 341)(129, 342)(130, 301)(131, 344)(132, 345)(133, 346)(134, 349)(135, 305)(136, 350)(137, 353)(138, 354)(139, 343)(140, 310)(141, 385)(142, 377)(143, 316)(144, 314)(145, 389)(146, 390)(147, 347)(148, 348)(149, 351)(150, 352)(151, 356)(152, 355)(153, 358)(154, 357)(155, 360)(156, 359)(157, 362)(158, 361)(159, 364)(160, 363)(161, 366)(162, 365)(163, 368)(164, 367)(165, 370)(166, 369)(167, 372)(168, 371)(169, 382)(170, 374)(171, 373)(172, 376)(173, 375)(174, 386)(175, 379)(176, 378)(177, 394)(178, 393)(179, 381)(180, 380)(181, 396)(182, 395)(183, 384)(184, 383)(185, 397)(186, 398)(187, 399)(188, 400)(189, 401)(190, 402)(191, 403)(192, 404)(193, 405)(194, 406)(195, 407)(196, 408)(197, 409)(198, 410)(199, 411)(200, 412)(201, 413)(202, 414)(203, 415)(204, 416)(205, 392)(206, 391)(207, 387)(208, 388)
	local type(s) :: { ( 4, 104, 4, 104 ) }
Outer automorphisms :: reflexible
Dual of E26.1439
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 104 e = 208 f = 54
	degree seq :: [ 4^104 ]

E26.1444 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 104})
Quotient :: dipole
Aut^+ = C104 : C2 (small group id <208, 6>)
Aut   = (C2 x D104) : C2 (small group id <416, 129>)
|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^-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)^104 ]
Map::
	R = (1, 209, 2, 210)(3, 211, 7, 215)(4, 212, 9, 217)(5, 213, 10, 218)(6, 214, 12, 220)(8, 216, 11, 219)(13, 221, 17, 225)(14, 222, 18, 226)(15, 223, 19, 227)(16, 224, 20, 228)(21, 229, 25, 233)(22, 230, 26, 234)(23, 231, 27, 235)(24, 232, 28, 236)(29, 237, 33, 241)(30, 238, 34, 242)(31, 239, 35, 243)(32, 240, 36, 244)(37, 245, 42, 250)(38, 246, 39, 247)(40, 248, 59, 267)(41, 249, 61, 269)(43, 251, 63, 271)(44, 252, 64, 272)(45, 253, 57, 265)(46, 254, 66, 274)(47, 255, 67, 275)(48, 256, 69, 277)(49, 257, 72, 280)(50, 258, 74, 282)(51, 259, 77, 285)(52, 260, 79, 287)(53, 261, 81, 289)(54, 262, 83, 291)(55, 263, 85, 293)(56, 264, 87, 295)(58, 266, 89, 297)(60, 268, 91, 299)(62, 270, 95, 303)(65, 273, 97, 305)(68, 276, 102, 310)(70, 278, 93, 301)(71, 279, 101, 309)(73, 281, 105, 313)(75, 283, 98, 306)(76, 284, 104, 312)(78, 286, 108, 316)(80, 288, 107, 315)(82, 290, 113, 321)(84, 292, 112, 320)(86, 294, 118, 326)(88, 296, 117, 325)(90, 298, 122, 330)(92, 300, 121, 329)(94, 302, 126, 334)(96, 304, 125, 333)(99, 307, 130, 338)(100, 308, 129, 337)(103, 311, 133, 341)(106, 314, 138, 346)(109, 317, 141, 349)(110, 318, 134, 342)(111, 319, 142, 350)(114, 322, 144, 352)(115, 323, 137, 345)(116, 324, 145, 353)(119, 327, 147, 355)(120, 328, 148, 356)(123, 331, 152, 360)(124, 332, 153, 361)(127, 335, 157, 365)(128, 336, 158, 366)(131, 339, 161, 369)(132, 340, 162, 370)(135, 343, 165, 373)(136, 344, 166, 374)(139, 347, 169, 377)(140, 348, 170, 378)(143, 351, 174, 382)(146, 354, 177, 385)(149, 357, 182, 390)(150, 358, 173, 381)(151, 359, 181, 389)(154, 362, 185, 393)(155, 363, 178, 386)(156, 364, 184, 392)(159, 367, 188, 396)(160, 368, 187, 395)(163, 371, 193, 401)(164, 372, 192, 400)(167, 375, 198, 406)(168, 376, 197, 405)(171, 379, 202, 410)(172, 380, 201, 409)(175, 383, 206, 414)(176, 384, 205, 413)(179, 387, 207, 415)(180, 388, 208, 416)(183, 391, 203, 411)(186, 394, 199, 407)(189, 397, 196, 404)(190, 398, 204, 412)(191, 399, 194, 402)(195, 403, 200, 408)(417, 625, 419, 627, 424, 632, 420, 628)(418, 626, 421, 629, 427, 635, 422, 630)(423, 631, 429, 637, 425, 633, 430, 638)(426, 634, 431, 639, 428, 636, 432, 640)(433, 641, 437, 645, 434, 642, 438, 646)(435, 643, 439, 647, 436, 644, 440, 648)(441, 649, 445, 653, 442, 650, 446, 654)(443, 651, 447, 655, 444, 652, 448, 656)(449, 657, 453, 661, 450, 658, 454, 662)(451, 659, 473, 681, 452, 660, 475, 683)(455, 663, 477, 685, 458, 666, 479, 687)(456, 664, 480, 688, 461, 669, 482, 690)(457, 665, 483, 691, 459, 667, 485, 693)(460, 668, 488, 696, 462, 670, 490, 698)(463, 671, 493, 701, 464, 672, 495, 703)(465, 673, 497, 705, 466, 674, 499, 707)(467, 675, 501, 709, 468, 676, 503, 711)(469, 677, 505, 713, 470, 678, 507, 715)(471, 679, 509, 717, 472, 680, 511, 719)(474, 682, 514, 722, 476, 684, 513, 721)(478, 686, 518, 726, 486, 694, 517, 725)(481, 689, 521, 729, 491, 699, 520, 728)(484, 692, 524, 732, 487, 695, 523, 731)(489, 697, 529, 737, 492, 700, 528, 736)(494, 702, 534, 742, 496, 704, 533, 741)(498, 706, 538, 746, 500, 708, 537, 745)(502, 710, 542, 750, 504, 712, 541, 749)(506, 714, 546, 754, 508, 716, 545, 753)(510, 718, 550, 758, 512, 720, 549, 757)(515, 723, 553, 761, 516, 724, 554, 762)(519, 727, 557, 765, 526, 734, 558, 766)(522, 730, 560, 768, 531, 739, 561, 769)(525, 733, 563, 771, 527, 735, 564, 772)(530, 738, 568, 776, 532, 740, 569, 777)(535, 743, 573, 781, 536, 744, 574, 782)(539, 747, 577, 785, 540, 748, 578, 786)(543, 751, 581, 789, 544, 752, 582, 790)(547, 755, 585, 793, 548, 756, 586, 794)(551, 759, 589, 797, 552, 760, 590, 798)(555, 763, 594, 802, 556, 764, 593, 801)(559, 767, 598, 806, 566, 774, 597, 805)(562, 770, 601, 809, 571, 779, 600, 808)(565, 773, 604, 812, 567, 775, 603, 811)(570, 778, 609, 817, 572, 780, 608, 816)(575, 783, 614, 822, 576, 784, 613, 821)(579, 787, 618, 826, 580, 788, 617, 825)(583, 791, 622, 830, 584, 792, 621, 829)(587, 795, 623, 831, 588, 796, 624, 832)(591, 799, 620, 828, 592, 800, 619, 827)(595, 803, 616, 824, 596, 804, 615, 823)(599, 807, 612, 820, 606, 814, 610, 818)(602, 810, 607, 815, 611, 819, 605, 813)
	L = (1, 418)(2, 417)(3, 423)(4, 425)(5, 426)(6, 428)(7, 419)(8, 427)(9, 420)(10, 421)(11, 424)(12, 422)(13, 433)(14, 434)(15, 435)(16, 436)(17, 429)(18, 430)(19, 431)(20, 432)(21, 441)(22, 442)(23, 443)(24, 444)(25, 437)(26, 438)(27, 439)(28, 440)(29, 449)(30, 450)(31, 451)(32, 452)(33, 445)(34, 446)(35, 447)(36, 448)(37, 458)(38, 455)(39, 454)(40, 475)(41, 477)(42, 453)(43, 479)(44, 480)(45, 473)(46, 482)(47, 483)(48, 485)(49, 488)(50, 490)(51, 493)(52, 495)(53, 497)(54, 499)(55, 501)(56, 503)(57, 461)(58, 505)(59, 456)(60, 507)(61, 457)(62, 511)(63, 459)(64, 460)(65, 513)(66, 462)(67, 463)(68, 518)(69, 464)(70, 509)(71, 517)(72, 465)(73, 521)(74, 466)(75, 514)(76, 520)(77, 467)(78, 524)(79, 468)(80, 523)(81, 469)(82, 529)(83, 470)(84, 528)(85, 471)(86, 534)(87, 472)(88, 533)(89, 474)(90, 538)(91, 476)(92, 537)(93, 486)(94, 542)(95, 478)(96, 541)(97, 481)(98, 491)(99, 546)(100, 545)(101, 487)(102, 484)(103, 549)(104, 492)(105, 489)(106, 554)(107, 496)(108, 494)(109, 557)(110, 550)(111, 558)(112, 500)(113, 498)(114, 560)(115, 553)(116, 561)(117, 504)(118, 502)(119, 563)(120, 564)(121, 508)(122, 506)(123, 568)(124, 569)(125, 512)(126, 510)(127, 573)(128, 574)(129, 516)(130, 515)(131, 577)(132, 578)(133, 519)(134, 526)(135, 581)(136, 582)(137, 531)(138, 522)(139, 585)(140, 586)(141, 525)(142, 527)(143, 590)(144, 530)(145, 532)(146, 593)(147, 535)(148, 536)(149, 598)(150, 589)(151, 597)(152, 539)(153, 540)(154, 601)(155, 594)(156, 600)(157, 543)(158, 544)(159, 604)(160, 603)(161, 547)(162, 548)(163, 609)(164, 608)(165, 551)(166, 552)(167, 614)(168, 613)(169, 555)(170, 556)(171, 618)(172, 617)(173, 566)(174, 559)(175, 622)(176, 621)(177, 562)(178, 571)(179, 623)(180, 624)(181, 567)(182, 565)(183, 619)(184, 572)(185, 570)(186, 615)(187, 576)(188, 575)(189, 612)(190, 620)(191, 610)(192, 580)(193, 579)(194, 607)(195, 616)(196, 605)(197, 584)(198, 583)(199, 602)(200, 611)(201, 588)(202, 587)(203, 599)(204, 606)(205, 592)(206, 591)(207, 595)(208, 596)(209, 625)(210, 626)(211, 627)(212, 628)(213, 629)(214, 630)(215, 631)(216, 632)(217, 633)(218, 634)(219, 635)(220, 636)(221, 637)(222, 638)(223, 639)(224, 640)(225, 641)(226, 642)(227, 643)(228, 644)(229, 645)(230, 646)(231, 647)(232, 648)(233, 649)(234, 650)(235, 651)(236, 652)(237, 653)(238, 654)(239, 655)(240, 656)(241, 657)(242, 658)(243, 659)(244, 660)(245, 661)(246, 662)(247, 663)(248, 664)(249, 665)(250, 666)(251, 667)(252, 668)(253, 669)(254, 670)(255, 671)(256, 672)(257, 673)(258, 674)(259, 675)(260, 676)(261, 677)(262, 678)(263, 679)(264, 680)(265, 681)(266, 682)(267, 683)(268, 684)(269, 685)(270, 686)(271, 687)(272, 688)(273, 689)(274, 690)(275, 691)(276, 692)(277, 693)(278, 694)(279, 695)(280, 696)(281, 697)(282, 698)(283, 699)(284, 700)(285, 701)(286, 702)(287, 703)(288, 704)(289, 705)(290, 706)(291, 707)(292, 708)(293, 709)(294, 710)(295, 711)(296, 712)(297, 713)(298, 714)(299, 715)(300, 716)(301, 717)(302, 718)(303, 719)(304, 720)(305, 721)(306, 722)(307, 723)(308, 724)(309, 725)(310, 726)(311, 727)(312, 728)(313, 729)(314, 730)(315, 731)(316, 732)(317, 733)(318, 734)(319, 735)(320, 736)(321, 737)(322, 738)(323, 739)(324, 740)(325, 741)(326, 742)(327, 743)(328, 744)(329, 745)(330, 746)(331, 747)(332, 748)(333, 749)(334, 750)(335, 751)(336, 752)(337, 753)(338, 754)(339, 755)(340, 756)(341, 757)(342, 758)(343, 759)(344, 760)(345, 761)(346, 762)(347, 763)(348, 764)(349, 765)(350, 766)(351, 767)(352, 768)(353, 769)(354, 770)(355, 771)(356, 772)(357, 773)(358, 774)(359, 775)(360, 776)(361, 777)(362, 778)(363, 779)(364, 780)(365, 781)(366, 782)(367, 783)(368, 784)(369, 785)(370, 786)(371, 787)(372, 788)(373, 789)(374, 790)(375, 791)(376, 792)(377, 793)(378, 794)(379, 795)(380, 796)(381, 797)(382, 798)(383, 799)(384, 800)(385, 801)(386, 802)(387, 803)(388, 804)(389, 805)(390, 806)(391, 807)(392, 808)(393, 809)(394, 810)(395, 811)(396, 812)(397, 813)(398, 814)(399, 815)(400, 816)(401, 817)(402, 818)(403, 819)(404, 820)(405, 821)(406, 822)(407, 823)(408, 824)(409, 825)(410, 826)(411, 827)(412, 828)(413, 829)(414, 830)(415, 831)(416, 832)
	local type(s) :: { ( 2, 208, 2, 208 ), ( 2, 208, 2, 208, 2, 208, 2, 208 ) }
Outer automorphisms :: reflexible
Dual of E26.1447
Graph:: bipartite
	v = 156 e = 416 f = 210
	degree seq :: [ 4^104, 8^52 ]

E26.1445 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 104})
Quotient :: dipole
Aut^+ = C104 : C2 (small group id <208, 6>)
Aut   = (C2 x D104) : C2 (small group id <416, 129>)
|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^-52 * Y1^-1 ]
Map::
	R = (1, 209, 2, 210, 6, 214, 4, 212)(3, 211, 9, 217, 13, 221, 8, 216)(5, 213, 11, 219, 14, 222, 7, 215)(10, 218, 16, 224, 21, 229, 17, 225)(12, 220, 15, 223, 22, 230, 19, 227)(18, 226, 25, 233, 29, 237, 24, 232)(20, 228, 27, 235, 30, 238, 23, 231)(26, 234, 32, 240, 37, 245, 33, 241)(28, 236, 31, 239, 38, 246, 35, 243)(34, 242, 41, 249, 45, 253, 40, 248)(36, 244, 43, 251, 46, 254, 39, 247)(42, 250, 48, 256, 53, 261, 49, 257)(44, 252, 47, 255, 54, 262, 51, 259)(50, 258, 57, 265, 61, 269, 56, 264)(52, 260, 59, 267, 62, 270, 55, 263)(58, 266, 64, 272, 105, 313, 65, 273)(60, 268, 63, 271, 82, 290, 67, 275)(66, 274, 80, 288, 118, 326, 73, 281)(68, 276, 111, 319, 76, 284, 107, 315)(69, 277, 109, 317, 74, 282, 113, 321)(70, 278, 114, 322, 72, 280, 115, 323)(71, 279, 116, 324, 79, 287, 117, 325)(75, 283, 119, 327, 78, 286, 120, 328)(77, 285, 121, 329, 85, 293, 122, 330)(81, 289, 123, 331, 84, 292, 124, 332)(83, 291, 125, 333, 89, 297, 126, 334)(86, 294, 127, 335, 88, 296, 128, 336)(87, 295, 129, 337, 93, 301, 130, 338)(90, 298, 131, 339, 92, 300, 132, 340)(91, 299, 133, 341, 97, 305, 134, 342)(94, 302, 135, 343, 96, 304, 136, 344)(95, 303, 137, 345, 101, 309, 138, 346)(98, 306, 139, 347, 100, 308, 140, 348)(99, 307, 141, 349, 106, 314, 142, 350)(102, 310, 144, 352, 104, 312, 145, 353)(103, 311, 146, 354, 143, 351, 147, 355)(108, 316, 151, 359, 112, 320, 152, 360)(110, 318, 155, 363, 148, 356, 156, 364)(149, 357, 189, 397, 150, 358, 190, 398)(153, 361, 193, 401, 154, 362, 194, 402)(157, 365, 197, 405, 158, 366, 198, 406)(159, 367, 199, 407, 160, 368, 200, 408)(161, 369, 201, 409, 162, 370, 202, 410)(163, 371, 203, 411, 164, 372, 204, 412)(165, 373, 205, 413, 166, 374, 206, 414)(167, 375, 207, 415, 168, 376, 208, 416)(169, 377, 196, 404, 170, 378, 195, 403)(171, 379, 192, 400, 172, 380, 191, 399)(173, 381, 187, 395, 174, 382, 188, 396)(175, 383, 185, 393, 176, 384, 186, 394)(177, 385, 184, 392, 178, 386, 183, 391)(179, 387, 182, 390, 180, 388, 181, 389)(417, 625, 419, 627, 426, 634, 434, 642, 442, 650, 450, 658, 458, 666, 466, 674, 474, 682, 482, 690, 525, 733, 532, 740, 537, 745, 541, 749, 545, 753, 549, 757, 553, 761, 557, 765, 562, 770, 571, 779, 609, 817, 615, 823, 619, 827, 623, 831, 608, 816, 601, 809, 598, 806, 593, 801, 590, 798, 585, 793, 582, 790, 577, 785, 574, 782, 565, 773, 528, 736, 518, 726, 516, 724, 510, 718, 508, 716, 502, 710, 500, 708, 491, 699, 488, 696, 492, 700, 498, 706, 478, 686, 470, 678, 462, 670, 454, 662, 446, 654, 438, 646, 430, 638, 422, 630, 429, 637, 437, 645, 445, 653, 453, 661, 461, 669, 469, 677, 477, 685, 521, 729, 534, 742, 529, 737, 533, 741, 538, 746, 542, 750, 546, 754, 550, 758, 554, 762, 558, 766, 563, 771, 572, 780, 610, 818, 616, 824, 620, 828, 624, 832, 607, 815, 602, 810, 597, 805, 594, 802, 589, 797, 586, 794, 581, 789, 578, 786, 573, 781, 566, 774, 524, 732, 520, 728, 514, 722, 512, 720, 506, 714, 504, 712, 497, 705, 494, 702, 486, 694, 484, 692, 476, 684, 468, 676, 460, 668, 452, 660, 444, 652, 436, 644, 428, 636, 421, 629)(418, 626, 423, 631, 431, 639, 439, 647, 447, 655, 455, 663, 463, 671, 471, 679, 479, 687, 523, 731, 530, 738, 535, 743, 539, 747, 543, 751, 547, 755, 551, 759, 555, 763, 560, 768, 567, 775, 605, 813, 613, 821, 617, 825, 621, 829, 612, 820, 603, 811, 600, 808, 595, 803, 592, 800, 587, 795, 584, 792, 579, 787, 576, 784, 569, 777, 564, 772, 519, 727, 522, 730, 511, 719, 513, 721, 503, 711, 505, 713, 493, 701, 495, 703, 485, 693, 496, 704, 481, 689, 473, 681, 465, 673, 457, 665, 449, 657, 441, 649, 433, 641, 425, 633, 420, 628, 427, 635, 435, 643, 443, 651, 451, 659, 459, 667, 467, 675, 475, 683, 483, 691, 527, 735, 531, 739, 536, 744, 540, 748, 544, 752, 548, 756, 552, 760, 556, 764, 561, 769, 568, 776, 606, 814, 614, 822, 618, 826, 622, 830, 611, 819, 604, 812, 599, 807, 596, 804, 591, 799, 588, 796, 583, 791, 580, 788, 575, 783, 570, 778, 526, 734, 559, 767, 515, 723, 517, 725, 507, 715, 509, 717, 499, 707, 501, 709, 487, 695, 490, 698, 489, 697, 480, 688, 472, 680, 464, 672, 456, 664, 448, 656, 440, 648, 432, 640, 424, 632)
	L = (1, 419)(2, 423)(3, 426)(4, 427)(5, 417)(6, 429)(7, 431)(8, 418)(9, 420)(10, 434)(11, 435)(12, 421)(13, 437)(14, 422)(15, 439)(16, 424)(17, 425)(18, 442)(19, 443)(20, 428)(21, 445)(22, 430)(23, 447)(24, 432)(25, 433)(26, 450)(27, 451)(28, 436)(29, 453)(30, 438)(31, 455)(32, 440)(33, 441)(34, 458)(35, 459)(36, 444)(37, 461)(38, 446)(39, 463)(40, 448)(41, 449)(42, 466)(43, 467)(44, 452)(45, 469)(46, 454)(47, 471)(48, 456)(49, 457)(50, 474)(51, 475)(52, 460)(53, 477)(54, 462)(55, 479)(56, 464)(57, 465)(58, 482)(59, 483)(60, 468)(61, 521)(62, 470)(63, 523)(64, 472)(65, 473)(66, 525)(67, 527)(68, 476)(69, 496)(70, 484)(71, 490)(72, 492)(73, 480)(74, 489)(75, 488)(76, 498)(77, 495)(78, 486)(79, 485)(80, 481)(81, 494)(82, 478)(83, 501)(84, 491)(85, 487)(86, 500)(87, 505)(88, 497)(89, 493)(90, 504)(91, 509)(92, 502)(93, 499)(94, 508)(95, 513)(96, 506)(97, 503)(98, 512)(99, 517)(100, 510)(101, 507)(102, 516)(103, 522)(104, 514)(105, 534)(106, 511)(107, 530)(108, 520)(109, 532)(110, 559)(111, 531)(112, 518)(113, 533)(114, 535)(115, 536)(116, 537)(117, 538)(118, 529)(119, 539)(120, 540)(121, 541)(122, 542)(123, 543)(124, 544)(125, 545)(126, 546)(127, 547)(128, 548)(129, 549)(130, 550)(131, 551)(132, 552)(133, 553)(134, 554)(135, 555)(136, 556)(137, 557)(138, 558)(139, 560)(140, 561)(141, 562)(142, 563)(143, 515)(144, 567)(145, 568)(146, 571)(147, 572)(148, 519)(149, 528)(150, 524)(151, 605)(152, 606)(153, 564)(154, 526)(155, 609)(156, 610)(157, 566)(158, 565)(159, 570)(160, 569)(161, 574)(162, 573)(163, 576)(164, 575)(165, 578)(166, 577)(167, 580)(168, 579)(169, 582)(170, 581)(171, 584)(172, 583)(173, 586)(174, 585)(175, 588)(176, 587)(177, 590)(178, 589)(179, 592)(180, 591)(181, 594)(182, 593)(183, 596)(184, 595)(185, 598)(186, 597)(187, 600)(188, 599)(189, 613)(190, 614)(191, 602)(192, 601)(193, 615)(194, 616)(195, 604)(196, 603)(197, 617)(198, 618)(199, 619)(200, 620)(201, 621)(202, 622)(203, 623)(204, 624)(205, 612)(206, 611)(207, 608)(208, 607)(209, 625)(210, 626)(211, 627)(212, 628)(213, 629)(214, 630)(215, 631)(216, 632)(217, 633)(218, 634)(219, 635)(220, 636)(221, 637)(222, 638)(223, 639)(224, 640)(225, 641)(226, 642)(227, 643)(228, 644)(229, 645)(230, 646)(231, 647)(232, 648)(233, 649)(234, 650)(235, 651)(236, 652)(237, 653)(238, 654)(239, 655)(240, 656)(241, 657)(242, 658)(243, 659)(244, 660)(245, 661)(246, 662)(247, 663)(248, 664)(249, 665)(250, 666)(251, 667)(252, 668)(253, 669)(254, 670)(255, 671)(256, 672)(257, 673)(258, 674)(259, 675)(260, 676)(261, 677)(262, 678)(263, 679)(264, 680)(265, 681)(266, 682)(267, 683)(268, 684)(269, 685)(270, 686)(271, 687)(272, 688)(273, 689)(274, 690)(275, 691)(276, 692)(277, 693)(278, 694)(279, 695)(280, 696)(281, 697)(282, 698)(283, 699)(284, 700)(285, 701)(286, 702)(287, 703)(288, 704)(289, 705)(290, 706)(291, 707)(292, 708)(293, 709)(294, 710)(295, 711)(296, 712)(297, 713)(298, 714)(299, 715)(300, 716)(301, 717)(302, 718)(303, 719)(304, 720)(305, 721)(306, 722)(307, 723)(308, 724)(309, 725)(310, 726)(311, 727)(312, 728)(313, 729)(314, 730)(315, 731)(316, 732)(317, 733)(318, 734)(319, 735)(320, 736)(321, 737)(322, 738)(323, 739)(324, 740)(325, 741)(326, 742)(327, 743)(328, 744)(329, 745)(330, 746)(331, 747)(332, 748)(333, 749)(334, 750)(335, 751)(336, 752)(337, 753)(338, 754)(339, 755)(340, 756)(341, 757)(342, 758)(343, 759)(344, 760)(345, 761)(346, 762)(347, 763)(348, 764)(349, 765)(350, 766)(351, 767)(352, 768)(353, 769)(354, 770)(355, 771)(356, 772)(357, 773)(358, 774)(359, 775)(360, 776)(361, 777)(362, 778)(363, 779)(364, 780)(365, 781)(366, 782)(367, 783)(368, 784)(369, 785)(370, 786)(371, 787)(372, 788)(373, 789)(374, 790)(375, 791)(376, 792)(377, 793)(378, 794)(379, 795)(380, 796)(381, 797)(382, 798)(383, 799)(384, 800)(385, 801)(386, 802)(387, 803)(388, 804)(389, 805)(390, 806)(391, 807)(392, 808)(393, 809)(394, 810)(395, 811)(396, 812)(397, 813)(398, 814)(399, 815)(400, 816)(401, 817)(402, 818)(403, 819)(404, 820)(405, 821)(406, 822)(407, 823)(408, 824)(409, 825)(410, 826)(411, 827)(412, 828)(413, 829)(414, 830)(415, 831)(416, 832)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1446
Graph:: bipartite
	v = 54 e = 416 f = 312
	degree seq :: [ 8^52, 208^2 ]

E26.1446 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 104})
Quotient :: dipole
Aut^+ = C104 : C2 (small group id <208, 6>)
Aut   = (C2 x D104) : C2 (small group id <416, 129>)
|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, Y3^49 * Y2 * Y3^-3 * Y2, (Y3^-1 * Y1^-1)^104 ]
Map:: polytopal
	R = (1, 209)(2, 210)(3, 211)(4, 212)(5, 213)(6, 214)(7, 215)(8, 216)(9, 217)(10, 218)(11, 219)(12, 220)(13, 221)(14, 222)(15, 223)(16, 224)(17, 225)(18, 226)(19, 227)(20, 228)(21, 229)(22, 230)(23, 231)(24, 232)(25, 233)(26, 234)(27, 235)(28, 236)(29, 237)(30, 238)(31, 239)(32, 240)(33, 241)(34, 242)(35, 243)(36, 244)(37, 245)(38, 246)(39, 247)(40, 248)(41, 249)(42, 250)(43, 251)(44, 252)(45, 253)(46, 254)(47, 255)(48, 256)(49, 257)(50, 258)(51, 259)(52, 260)(53, 261)(54, 262)(55, 263)(56, 264)(57, 265)(58, 266)(59, 267)(60, 268)(61, 269)(62, 270)(63, 271)(64, 272)(65, 273)(66, 274)(67, 275)(68, 276)(69, 277)(70, 278)(71, 279)(72, 280)(73, 281)(74, 282)(75, 283)(76, 284)(77, 285)(78, 286)(79, 287)(80, 288)(81, 289)(82, 290)(83, 291)(84, 292)(85, 293)(86, 294)(87, 295)(88, 296)(89, 297)(90, 298)(91, 299)(92, 300)(93, 301)(94, 302)(95, 303)(96, 304)(97, 305)(98, 306)(99, 307)(100, 308)(101, 309)(102, 310)(103, 311)(104, 312)(105, 313)(106, 314)(107, 315)(108, 316)(109, 317)(110, 318)(111, 319)(112, 320)(113, 321)(114, 322)(115, 323)(116, 324)(117, 325)(118, 326)(119, 327)(120, 328)(121, 329)(122, 330)(123, 331)(124, 332)(125, 333)(126, 334)(127, 335)(128, 336)(129, 337)(130, 338)(131, 339)(132, 340)(133, 341)(134, 342)(135, 343)(136, 344)(137, 345)(138, 346)(139, 347)(140, 348)(141, 349)(142, 350)(143, 351)(144, 352)(145, 353)(146, 354)(147, 355)(148, 356)(149, 357)(150, 358)(151, 359)(152, 360)(153, 361)(154, 362)(155, 363)(156, 364)(157, 365)(158, 366)(159, 367)(160, 368)(161, 369)(162, 370)(163, 371)(164, 372)(165, 373)(166, 374)(167, 375)(168, 376)(169, 377)(170, 378)(171, 379)(172, 380)(173, 381)(174, 382)(175, 383)(176, 384)(177, 385)(178, 386)(179, 387)(180, 388)(181, 389)(182, 390)(183, 391)(184, 392)(185, 393)(186, 394)(187, 395)(188, 396)(189, 397)(190, 398)(191, 399)(192, 400)(193, 401)(194, 402)(195, 403)(196, 404)(197, 405)(198, 406)(199, 407)(200, 408)(201, 409)(202, 410)(203, 411)(204, 412)(205, 413)(206, 414)(207, 415)(208, 416)(417, 625, 418, 626)(419, 627, 423, 631)(420, 628, 425, 633)(421, 629, 427, 635)(422, 630, 429, 637)(424, 632, 430, 638)(426, 634, 428, 636)(431, 639, 436, 644)(432, 640, 439, 647)(433, 641, 441, 649)(434, 642, 437, 645)(435, 643, 443, 651)(438, 646, 445, 653)(440, 648, 447, 655)(442, 650, 448, 656)(444, 652, 446, 654)(449, 657, 455, 663)(450, 658, 457, 665)(451, 659, 453, 661)(452, 660, 459, 667)(454, 662, 461, 669)(456, 664, 463, 671)(458, 666, 464, 672)(460, 668, 462, 670)(465, 673, 471, 679)(466, 674, 473, 681)(467, 675, 469, 677)(468, 676, 475, 683)(470, 678, 477, 685)(472, 680, 479, 687)(474, 682, 480, 688)(476, 684, 478, 686)(481, 689, 532, 740)(482, 690, 539, 747)(483, 691, 541, 749)(484, 692, 524, 732)(485, 693, 543, 751)(486, 694, 545, 753)(487, 695, 547, 755)(488, 696, 549, 757)(489, 697, 551, 759)(490, 698, 553, 761)(491, 699, 555, 763)(492, 700, 557, 765)(493, 701, 559, 767)(494, 702, 561, 769)(495, 703, 563, 771)(496, 704, 565, 773)(497, 705, 567, 775)(498, 706, 569, 777)(499, 707, 571, 779)(500, 708, 573, 781)(501, 709, 575, 783)(502, 710, 577, 785)(503, 711, 579, 787)(504, 712, 581, 789)(505, 713, 583, 791)(506, 714, 585, 793)(507, 715, 587, 795)(508, 716, 589, 797)(509, 717, 591, 799)(510, 718, 593, 801)(511, 719, 595, 803)(512, 720, 597, 805)(513, 721, 599, 807)(514, 722, 601, 809)(515, 723, 603, 811)(516, 724, 605, 813)(517, 725, 607, 815)(518, 726, 609, 817)(519, 727, 611, 819)(520, 728, 613, 821)(521, 729, 610, 818)(522, 730, 615, 823)(523, 731, 617, 825)(525, 733, 612, 820)(526, 734, 620, 828)(527, 735, 622, 830)(528, 736, 616, 824)(529, 737, 621, 829)(530, 738, 586, 794)(531, 739, 594, 802)(533, 741, 576, 784)(534, 742, 602, 810)(535, 743, 578, 786)(536, 744, 604, 812)(537, 745, 588, 796)(538, 746, 596, 804)(540, 748, 552, 760)(542, 750, 558, 766)(544, 752, 608, 816)(546, 754, 614, 822)(548, 756, 618, 826)(550, 758, 590, 798)(554, 762, 580, 788)(556, 764, 600, 808)(560, 768, 623, 831)(562, 770, 574, 782)(564, 772, 592, 800)(566, 774, 624, 832)(568, 776, 619, 827)(570, 778, 584, 792)(572, 780, 598, 806)(582, 790, 606, 814)
	L = (1, 419)(2, 421)(3, 424)(4, 417)(5, 428)(6, 418)(7, 431)(8, 433)(9, 434)(10, 420)(11, 436)(12, 438)(13, 439)(14, 422)(15, 425)(16, 423)(17, 442)(18, 443)(19, 426)(20, 429)(21, 427)(22, 446)(23, 447)(24, 430)(25, 432)(26, 450)(27, 451)(28, 435)(29, 437)(30, 454)(31, 455)(32, 440)(33, 441)(34, 458)(35, 459)(36, 444)(37, 445)(38, 462)(39, 463)(40, 448)(41, 449)(42, 466)(43, 467)(44, 452)(45, 453)(46, 470)(47, 471)(48, 456)(49, 457)(50, 474)(51, 475)(52, 460)(53, 461)(54, 478)(55, 479)(56, 464)(57, 465)(58, 482)(59, 483)(60, 468)(61, 469)(62, 523)(63, 532)(64, 472)(65, 473)(66, 512)(67, 524)(68, 476)(69, 487)(70, 489)(71, 492)(72, 485)(73, 496)(74, 486)(75, 499)(76, 501)(77, 502)(78, 488)(79, 504)(80, 506)(81, 507)(82, 490)(83, 493)(84, 491)(85, 510)(86, 511)(87, 494)(88, 497)(89, 495)(90, 514)(91, 515)(92, 498)(93, 500)(94, 518)(95, 519)(96, 503)(97, 505)(98, 521)(99, 522)(100, 508)(101, 509)(102, 525)(103, 526)(104, 513)(105, 528)(106, 529)(107, 516)(108, 517)(109, 530)(110, 531)(111, 520)(112, 533)(113, 534)(114, 535)(115, 536)(116, 527)(117, 537)(118, 538)(119, 540)(120, 542)(121, 618)(122, 624)(123, 481)(124, 598)(125, 477)(126, 619)(127, 563)(128, 548)(129, 555)(130, 552)(131, 581)(132, 558)(133, 583)(134, 544)(135, 571)(136, 566)(137, 573)(138, 546)(139, 569)(140, 572)(141, 567)(142, 576)(143, 545)(144, 578)(145, 599)(146, 550)(147, 561)(148, 582)(149, 559)(150, 586)(151, 543)(152, 588)(153, 591)(154, 554)(155, 553)(156, 560)(157, 589)(158, 556)(159, 587)(160, 594)(161, 551)(162, 596)(163, 613)(164, 562)(165, 549)(166, 568)(167, 579)(168, 564)(169, 577)(170, 602)(171, 547)(172, 604)(173, 607)(174, 570)(175, 605)(176, 574)(177, 603)(178, 610)(179, 565)(180, 612)(181, 622)(182, 580)(183, 597)(184, 584)(185, 595)(186, 609)(187, 557)(188, 616)(189, 484)(190, 590)(191, 617)(192, 592)(193, 615)(194, 611)(195, 585)(196, 621)(197, 539)(198, 600)(199, 575)(200, 620)(201, 541)(202, 606)(203, 608)(204, 601)(205, 593)(206, 480)(207, 614)(208, 623)(209, 625)(210, 626)(211, 627)(212, 628)(213, 629)(214, 630)(215, 631)(216, 632)(217, 633)(218, 634)(219, 635)(220, 636)(221, 637)(222, 638)(223, 639)(224, 640)(225, 641)(226, 642)(227, 643)(228, 644)(229, 645)(230, 646)(231, 647)(232, 648)(233, 649)(234, 650)(235, 651)(236, 652)(237, 653)(238, 654)(239, 655)(240, 656)(241, 657)(242, 658)(243, 659)(244, 660)(245, 661)(246, 662)(247, 663)(248, 664)(249, 665)(250, 666)(251, 667)(252, 668)(253, 669)(254, 670)(255, 671)(256, 672)(257, 673)(258, 674)(259, 675)(260, 676)(261, 677)(262, 678)(263, 679)(264, 680)(265, 681)(266, 682)(267, 683)(268, 684)(269, 685)(270, 686)(271, 687)(272, 688)(273, 689)(274, 690)(275, 691)(276, 692)(277, 693)(278, 694)(279, 695)(280, 696)(281, 697)(282, 698)(283, 699)(284, 700)(285, 701)(286, 702)(287, 703)(288, 704)(289, 705)(290, 706)(291, 707)(292, 708)(293, 709)(294, 710)(295, 711)(296, 712)(297, 713)(298, 714)(299, 715)(300, 716)(301, 717)(302, 718)(303, 719)(304, 720)(305, 721)(306, 722)(307, 723)(308, 724)(309, 725)(310, 726)(311, 727)(312, 728)(313, 729)(314, 730)(315, 731)(316, 732)(317, 733)(318, 734)(319, 735)(320, 736)(321, 737)(322, 738)(323, 739)(324, 740)(325, 741)(326, 742)(327, 743)(328, 744)(329, 745)(330, 746)(331, 747)(332, 748)(333, 749)(334, 750)(335, 751)(336, 752)(337, 753)(338, 754)(339, 755)(340, 756)(341, 757)(342, 758)(343, 759)(344, 760)(345, 761)(346, 762)(347, 763)(348, 764)(349, 765)(350, 766)(351, 767)(352, 768)(353, 769)(354, 770)(355, 771)(356, 772)(357, 773)(358, 774)(359, 775)(360, 776)(361, 777)(362, 778)(363, 779)(364, 780)(365, 781)(366, 782)(367, 783)(368, 784)(369, 785)(370, 786)(371, 787)(372, 788)(373, 789)(374, 790)(375, 791)(376, 792)(377, 793)(378, 794)(379, 795)(380, 796)(381, 797)(382, 798)(383, 799)(384, 800)(385, 801)(386, 802)(387, 803)(388, 804)(389, 805)(390, 806)(391, 807)(392, 808)(393, 809)(394, 810)(395, 811)(396, 812)(397, 813)(398, 814)(399, 815)(400, 816)(401, 817)(402, 818)(403, 819)(404, 820)(405, 821)(406, 822)(407, 823)(408, 824)(409, 825)(410, 826)(411, 827)(412, 828)(413, 829)(414, 830)(415, 831)(416, 832)
	local type(s) :: { ( 8, 208 ), ( 8, 208, 8, 208 ) }
Outer automorphisms :: reflexible
Dual of E26.1445
Graph:: simple bipartite
	v = 312 e = 416 f = 54
	degree seq :: [ 2^208, 4^104 ]

E26.1447 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 104})
Quotient :: dipole
Aut^+ = C104 : C2 (small group id <208, 6>)
Aut   = (C2 x D104) : C2 (small group id <416, 129>)
|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 * Y1^51, Y1^-2 * Y3 * Y1^25 * Y3 * Y1^-25 ]
Map::
	R = (1, 209, 2, 210, 5, 213, 11, 219, 20, 228, 29, 237, 37, 245, 45, 253, 53, 261, 61, 269, 73, 281, 77, 285, 81, 289, 86, 294, 90, 298, 94, 302, 98, 306, 103, 311, 140, 348, 147, 355, 151, 359, 155, 363, 159, 367, 163, 371, 167, 375, 172, 380, 179, 387, 208, 416, 204, 412, 200, 408, 196, 404, 192, 400, 188, 396, 181, 389, 174, 382, 169, 377, 143, 351, 136, 344, 131, 339, 127, 335, 123, 331, 119, 327, 114, 322, 118, 326, 105, 313, 66, 274, 58, 266, 50, 258, 42, 250, 34, 242, 26, 234, 16, 224, 23, 231, 17, 225, 24, 232, 32, 240, 40, 248, 48, 256, 56, 264, 64, 272, 74, 282, 70, 278, 72, 280, 76, 284, 80, 288, 85, 293, 89, 297, 93, 301, 97, 305, 102, 310, 139, 347, 148, 356, 152, 360, 156, 364, 160, 368, 164, 372, 168, 376, 173, 381, 180, 388, 207, 415, 203, 411, 199, 407, 195, 403, 191, 399, 187, 395, 183, 391, 145, 353, 138, 346, 133, 341, 128, 336, 124, 332, 120, 328, 115, 323, 111, 319, 108, 316, 68, 276, 60, 268, 52, 260, 44, 252, 36, 244, 28, 236, 19, 227, 10, 218, 4, 212)(3, 211, 7, 215, 15, 223, 25, 233, 33, 241, 41, 249, 49, 257, 57, 265, 65, 273, 82, 290, 71, 279, 83, 291, 79, 287, 91, 299, 88, 296, 99, 307, 96, 304, 132, 340, 106, 314, 144, 352, 149, 357, 154, 362, 157, 365, 162, 370, 165, 373, 171, 379, 175, 383, 184, 392, 206, 414, 201, 409, 198, 406, 193, 401, 190, 398, 185, 393, 177, 385, 142, 350, 134, 342, 130, 338, 125, 333, 122, 330, 116, 324, 113, 321, 109, 317, 101, 309, 63, 271, 54, 262, 47, 255, 38, 246, 31, 239, 21, 229, 14, 222, 6, 214, 13, 221, 9, 217, 18, 226, 27, 235, 35, 243, 43, 251, 51, 259, 59, 267, 67, 275, 69, 277, 78, 286, 75, 283, 87, 295, 84, 292, 95, 303, 92, 300, 104, 312, 100, 308, 137, 345, 146, 354, 150, 358, 153, 361, 158, 366, 161, 369, 166, 374, 170, 378, 176, 384, 182, 390, 205, 413, 202, 410, 197, 405, 194, 402, 189, 397, 186, 394, 178, 386, 141, 349, 135, 343, 129, 337, 126, 334, 121, 329, 117, 325, 112, 320, 110, 318, 107, 315, 62, 270, 55, 263, 46, 254, 39, 247, 30, 238, 22, 230, 12, 220, 8, 216)(417, 625)(418, 626)(419, 627)(420, 628)(421, 629)(422, 630)(423, 631)(424, 632)(425, 633)(426, 634)(427, 635)(428, 636)(429, 637)(430, 638)(431, 639)(432, 640)(433, 641)(434, 642)(435, 643)(436, 644)(437, 645)(438, 646)(439, 647)(440, 648)(441, 649)(442, 650)(443, 651)(444, 652)(445, 653)(446, 654)(447, 655)(448, 656)(449, 657)(450, 658)(451, 659)(452, 660)(453, 661)(454, 662)(455, 663)(456, 664)(457, 665)(458, 666)(459, 667)(460, 668)(461, 669)(462, 670)(463, 671)(464, 672)(465, 673)(466, 674)(467, 675)(468, 676)(469, 677)(470, 678)(471, 679)(472, 680)(473, 681)(474, 682)(475, 683)(476, 684)(477, 685)(478, 686)(479, 687)(480, 688)(481, 689)(482, 690)(483, 691)(484, 692)(485, 693)(486, 694)(487, 695)(488, 696)(489, 697)(490, 698)(491, 699)(492, 700)(493, 701)(494, 702)(495, 703)(496, 704)(497, 705)(498, 706)(499, 707)(500, 708)(501, 709)(502, 710)(503, 711)(504, 712)(505, 713)(506, 714)(507, 715)(508, 716)(509, 717)(510, 718)(511, 719)(512, 720)(513, 721)(514, 722)(515, 723)(516, 724)(517, 725)(518, 726)(519, 727)(520, 728)(521, 729)(522, 730)(523, 731)(524, 732)(525, 733)(526, 734)(527, 735)(528, 736)(529, 737)(530, 738)(531, 739)(532, 740)(533, 741)(534, 742)(535, 743)(536, 744)(537, 745)(538, 746)(539, 747)(540, 748)(541, 749)(542, 750)(543, 751)(544, 752)(545, 753)(546, 754)(547, 755)(548, 756)(549, 757)(550, 758)(551, 759)(552, 760)(553, 761)(554, 762)(555, 763)(556, 764)(557, 765)(558, 766)(559, 767)(560, 768)(561, 769)(562, 770)(563, 771)(564, 772)(565, 773)(566, 774)(567, 775)(568, 776)(569, 777)(570, 778)(571, 779)(572, 780)(573, 781)(574, 782)(575, 783)(576, 784)(577, 785)(578, 786)(579, 787)(580, 788)(581, 789)(582, 790)(583, 791)(584, 792)(585, 793)(586, 794)(587, 795)(588, 796)(589, 797)(590, 798)(591, 799)(592, 800)(593, 801)(594, 802)(595, 803)(596, 804)(597, 805)(598, 806)(599, 807)(600, 808)(601, 809)(602, 810)(603, 811)(604, 812)(605, 813)(606, 814)(607, 815)(608, 816)(609, 817)(610, 818)(611, 819)(612, 820)(613, 821)(614, 822)(615, 823)(616, 824)(617, 825)(618, 826)(619, 827)(620, 828)(621, 829)(622, 830)(623, 831)(624, 832)
	L = (1, 419)(2, 422)(3, 417)(4, 425)(5, 428)(6, 418)(7, 432)(8, 433)(9, 420)(10, 431)(11, 437)(12, 421)(13, 439)(14, 440)(15, 426)(16, 423)(17, 424)(18, 442)(19, 443)(20, 446)(21, 427)(22, 448)(23, 429)(24, 430)(25, 450)(26, 434)(27, 435)(28, 449)(29, 454)(30, 436)(31, 456)(32, 438)(33, 444)(34, 441)(35, 458)(36, 459)(37, 462)(38, 445)(39, 464)(40, 447)(41, 466)(42, 451)(43, 452)(44, 465)(45, 470)(46, 453)(47, 472)(48, 455)(49, 460)(50, 457)(51, 474)(52, 475)(53, 478)(54, 461)(55, 480)(56, 463)(57, 482)(58, 467)(59, 468)(60, 481)(61, 517)(62, 469)(63, 490)(64, 471)(65, 476)(66, 473)(67, 521)(68, 485)(69, 484)(70, 523)(71, 524)(72, 525)(73, 526)(74, 479)(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, 546)(95, 547)(96, 549)(97, 550)(98, 551)(99, 552)(100, 554)(101, 477)(102, 557)(103, 558)(104, 559)(105, 483)(106, 561)(107, 486)(108, 487)(109, 488)(110, 489)(111, 491)(112, 492)(113, 493)(114, 494)(115, 495)(116, 496)(117, 497)(118, 498)(119, 499)(120, 500)(121, 501)(122, 502)(123, 503)(124, 504)(125, 505)(126, 506)(127, 507)(128, 508)(129, 509)(130, 510)(131, 511)(132, 585)(133, 512)(134, 513)(135, 514)(136, 515)(137, 590)(138, 516)(139, 593)(140, 594)(141, 518)(142, 519)(143, 520)(144, 597)(145, 522)(146, 599)(147, 601)(148, 602)(149, 603)(150, 604)(151, 605)(152, 606)(153, 607)(154, 608)(155, 609)(156, 610)(157, 611)(158, 612)(159, 613)(160, 614)(161, 615)(162, 616)(163, 617)(164, 618)(165, 619)(166, 620)(167, 621)(168, 622)(169, 548)(170, 623)(171, 624)(172, 600)(173, 598)(174, 553)(175, 596)(176, 595)(177, 555)(178, 556)(179, 592)(180, 591)(181, 560)(182, 589)(183, 562)(184, 588)(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, 586)(208, 587)(209, 625)(210, 626)(211, 627)(212, 628)(213, 629)(214, 630)(215, 631)(216, 632)(217, 633)(218, 634)(219, 635)(220, 636)(221, 637)(222, 638)(223, 639)(224, 640)(225, 641)(226, 642)(227, 643)(228, 644)(229, 645)(230, 646)(231, 647)(232, 648)(233, 649)(234, 650)(235, 651)(236, 652)(237, 653)(238, 654)(239, 655)(240, 656)(241, 657)(242, 658)(243, 659)(244, 660)(245, 661)(246, 662)(247, 663)(248, 664)(249, 665)(250, 666)(251, 667)(252, 668)(253, 669)(254, 670)(255, 671)(256, 672)(257, 673)(258, 674)(259, 675)(260, 676)(261, 677)(262, 678)(263, 679)(264, 680)(265, 681)(266, 682)(267, 683)(268, 684)(269, 685)(270, 686)(271, 687)(272, 688)(273, 689)(274, 690)(275, 691)(276, 692)(277, 693)(278, 694)(279, 695)(280, 696)(281, 697)(282, 698)(283, 699)(284, 700)(285, 701)(286, 702)(287, 703)(288, 704)(289, 705)(290, 706)(291, 707)(292, 708)(293, 709)(294, 710)(295, 711)(296, 712)(297, 713)(298, 714)(299, 715)(300, 716)(301, 717)(302, 718)(303, 719)(304, 720)(305, 721)(306, 722)(307, 723)(308, 724)(309, 725)(310, 726)(311, 727)(312, 728)(313, 729)(314, 730)(315, 731)(316, 732)(317, 733)(318, 734)(319, 735)(320, 736)(321, 737)(322, 738)(323, 739)(324, 740)(325, 741)(326, 742)(327, 743)(328, 744)(329, 745)(330, 746)(331, 747)(332, 748)(333, 749)(334, 750)(335, 751)(336, 752)(337, 753)(338, 754)(339, 755)(340, 756)(341, 757)(342, 758)(343, 759)(344, 760)(345, 761)(346, 762)(347, 763)(348, 764)(349, 765)(350, 766)(351, 767)(352, 768)(353, 769)(354, 770)(355, 771)(356, 772)(357, 773)(358, 774)(359, 775)(360, 776)(361, 777)(362, 778)(363, 779)(364, 780)(365, 781)(366, 782)(367, 783)(368, 784)(369, 785)(370, 786)(371, 787)(372, 788)(373, 789)(374, 790)(375, 791)(376, 792)(377, 793)(378, 794)(379, 795)(380, 796)(381, 797)(382, 798)(383, 799)(384, 800)(385, 801)(386, 802)(387, 803)(388, 804)(389, 805)(390, 806)(391, 807)(392, 808)(393, 809)(394, 810)(395, 811)(396, 812)(397, 813)(398, 814)(399, 815)(400, 816)(401, 817)(402, 818)(403, 819)(404, 820)(405, 821)(406, 822)(407, 823)(408, 824)(409, 825)(410, 826)(411, 827)(412, 828)(413, 829)(414, 830)(415, 831)(416, 832)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1444
Graph:: simple bipartite
	v = 210 e = 416 f = 156
	degree seq :: [ 2^208, 208^2 ]

E26.1448 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 104})
Quotient :: dipole
Aut^+ = C104 : C2 (small group id <208, 6>)
Aut   = (C2 x D104) : C2 (small group id <416, 129>)
|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^-49 * Y1 ]
Map::
	R = (1, 209, 2, 210)(3, 211, 7, 215)(4, 212, 9, 217)(5, 213, 11, 219)(6, 214, 13, 221)(8, 216, 14, 222)(10, 218, 12, 220)(15, 223, 20, 228)(16, 224, 23, 231)(17, 225, 25, 233)(18, 226, 21, 229)(19, 227, 27, 235)(22, 230, 29, 237)(24, 232, 31, 239)(26, 234, 32, 240)(28, 236, 30, 238)(33, 241, 39, 247)(34, 242, 41, 249)(35, 243, 37, 245)(36, 244, 43, 251)(38, 246, 45, 253)(40, 248, 47, 255)(42, 250, 48, 256)(44, 252, 46, 254)(49, 257, 55, 263)(50, 258, 57, 265)(51, 259, 53, 261)(52, 260, 59, 267)(54, 262, 61, 269)(56, 264, 63, 271)(58, 266, 64, 272)(60, 268, 62, 270)(65, 273, 111, 319)(66, 274, 80, 288)(67, 275, 85, 293)(68, 276, 115, 323)(69, 277, 117, 325)(70, 278, 119, 327)(71, 279, 121, 329)(72, 280, 123, 331)(73, 281, 125, 333)(74, 282, 127, 335)(75, 283, 129, 337)(76, 284, 110, 318)(77, 285, 114, 322)(78, 286, 133, 341)(79, 287, 135, 343)(81, 289, 138, 346)(82, 290, 140, 348)(83, 291, 142, 350)(84, 292, 144, 352)(86, 294, 147, 355)(87, 295, 149, 357)(88, 296, 151, 359)(89, 297, 153, 361)(90, 298, 155, 363)(91, 299, 157, 365)(92, 300, 159, 367)(93, 301, 161, 369)(94, 302, 163, 371)(95, 303, 165, 373)(96, 304, 167, 375)(97, 305, 169, 377)(98, 306, 171, 379)(99, 307, 173, 381)(100, 308, 175, 383)(101, 309, 177, 385)(102, 310, 179, 387)(103, 311, 181, 389)(104, 312, 183, 391)(105, 313, 185, 393)(106, 314, 187, 395)(107, 315, 189, 397)(108, 316, 191, 399)(109, 317, 193, 401)(112, 320, 196, 404)(113, 321, 198, 406)(116, 324, 195, 403)(118, 326, 199, 407)(120, 328, 202, 410)(122, 330, 204, 412)(124, 332, 188, 396)(126, 334, 200, 408)(128, 336, 184, 392)(130, 338, 194, 402)(131, 339, 201, 409)(132, 340, 206, 414)(134, 342, 182, 390)(136, 344, 190, 398)(137, 345, 205, 413)(139, 347, 203, 411)(141, 349, 186, 394)(143, 351, 192, 400)(145, 353, 176, 384)(146, 354, 208, 416)(148, 356, 207, 415)(150, 358, 172, 380)(152, 360, 197, 405)(154, 362, 180, 388)(156, 364, 168, 376)(158, 366, 178, 386)(160, 368, 166, 374)(162, 370, 174, 382)(164, 372, 170, 378)(417, 625, 419, 627, 424, 632, 433, 641, 442, 650, 450, 658, 458, 666, 466, 674, 474, 682, 482, 690, 530, 738, 535, 743, 545, 753, 556, 764, 573, 781, 579, 787, 589, 797, 595, 803, 605, 813, 612, 820, 621, 829, 622, 830, 618, 826, 610, 818, 602, 810, 594, 802, 586, 794, 578, 786, 570, 778, 552, 760, 568, 776, 555, 763, 532, 740, 524, 732, 520, 728, 516, 724, 512, 720, 508, 716, 503, 711, 494, 702, 488, 696, 485, 693, 487, 695, 492, 700, 501, 709, 477, 685, 469, 677, 461, 669, 453, 661, 445, 653, 437, 645, 427, 635, 436, 644, 429, 637, 439, 647, 447, 655, 455, 663, 463, 671, 471, 679, 479, 687, 527, 735, 563, 771, 541, 749, 558, 766, 543, 751, 560, 768, 571, 779, 581, 789, 587, 795, 597, 805, 603, 811, 614, 822, 623, 831, 616, 824, 608, 816, 600, 808, 592, 800, 584, 792, 576, 784, 566, 774, 550, 758, 540, 748, 534, 742, 538, 746, 547, 755, 562, 770, 525, 733, 521, 729, 517, 725, 513, 721, 509, 717, 505, 713, 495, 703, 504, 712, 497, 705, 484, 692, 476, 684, 468, 676, 460, 668, 452, 660, 444, 652, 435, 643, 426, 634, 420, 628)(418, 626, 421, 629, 428, 636, 438, 646, 446, 654, 454, 662, 462, 670, 470, 678, 478, 686, 526, 734, 554, 762, 533, 741, 551, 759, 549, 757, 577, 785, 575, 783, 593, 801, 591, 799, 609, 817, 607, 815, 617, 825, 619, 827, 615, 823, 606, 814, 598, 806, 590, 798, 582, 790, 574, 782, 561, 769, 546, 754, 559, 767, 548, 756, 564, 772, 528, 736, 522, 730, 518, 726, 514, 722, 510, 718, 506, 714, 498, 706, 490, 698, 486, 694, 489, 697, 496, 704, 481, 689, 473, 681, 465, 673, 457, 665, 449, 657, 441, 649, 432, 640, 423, 631, 431, 639, 425, 633, 434, 642, 443, 651, 451, 659, 459, 667, 467, 675, 475, 683, 483, 691, 531, 739, 537, 745, 567, 775, 539, 747, 569, 777, 565, 773, 585, 793, 583, 791, 601, 809, 599, 807, 624, 832, 611, 819, 620, 828, 613, 821, 604, 812, 596, 804, 588, 796, 580, 788, 572, 780, 557, 765, 544, 752, 536, 744, 542, 750, 553, 761, 529, 737, 523, 731, 519, 727, 515, 723, 511, 719, 507, 715, 500, 708, 491, 699, 499, 707, 493, 701, 502, 710, 480, 688, 472, 680, 464, 672, 456, 664, 448, 656, 440, 648, 430, 638, 422, 630)
	L = (1, 418)(2, 417)(3, 423)(4, 425)(5, 427)(6, 429)(7, 419)(8, 430)(9, 420)(10, 428)(11, 421)(12, 426)(13, 422)(14, 424)(15, 436)(16, 439)(17, 441)(18, 437)(19, 443)(20, 431)(21, 434)(22, 445)(23, 432)(24, 447)(25, 433)(26, 448)(27, 435)(28, 446)(29, 438)(30, 444)(31, 440)(32, 442)(33, 455)(34, 457)(35, 453)(36, 459)(37, 451)(38, 461)(39, 449)(40, 463)(41, 450)(42, 464)(43, 452)(44, 462)(45, 454)(46, 460)(47, 456)(48, 458)(49, 471)(50, 473)(51, 469)(52, 475)(53, 467)(54, 477)(55, 465)(56, 479)(57, 466)(58, 480)(59, 468)(60, 478)(61, 470)(62, 476)(63, 472)(64, 474)(65, 527)(66, 496)(67, 501)(68, 531)(69, 533)(70, 535)(71, 537)(72, 539)(73, 541)(74, 543)(75, 545)(76, 526)(77, 530)(78, 549)(79, 551)(80, 482)(81, 554)(82, 556)(83, 558)(84, 560)(85, 483)(86, 563)(87, 565)(88, 567)(89, 569)(90, 571)(91, 573)(92, 575)(93, 577)(94, 579)(95, 581)(96, 583)(97, 585)(98, 587)(99, 589)(100, 591)(101, 593)(102, 595)(103, 597)(104, 599)(105, 601)(106, 603)(107, 605)(108, 607)(109, 609)(110, 492)(111, 481)(112, 612)(113, 614)(114, 493)(115, 484)(116, 611)(117, 485)(118, 615)(119, 486)(120, 618)(121, 487)(122, 620)(123, 488)(124, 604)(125, 489)(126, 616)(127, 490)(128, 600)(129, 491)(130, 610)(131, 617)(132, 622)(133, 494)(134, 598)(135, 495)(136, 606)(137, 621)(138, 497)(139, 619)(140, 498)(141, 602)(142, 499)(143, 608)(144, 500)(145, 592)(146, 624)(147, 502)(148, 623)(149, 503)(150, 588)(151, 504)(152, 613)(153, 505)(154, 596)(155, 506)(156, 584)(157, 507)(158, 594)(159, 508)(160, 582)(161, 509)(162, 590)(163, 510)(164, 586)(165, 511)(166, 576)(167, 512)(168, 572)(169, 513)(170, 580)(171, 514)(172, 566)(173, 515)(174, 578)(175, 516)(176, 561)(177, 517)(178, 574)(179, 518)(180, 570)(181, 519)(182, 550)(183, 520)(184, 544)(185, 521)(186, 557)(187, 522)(188, 540)(189, 523)(190, 552)(191, 524)(192, 559)(193, 525)(194, 546)(195, 532)(196, 528)(197, 568)(198, 529)(199, 534)(200, 542)(201, 547)(202, 536)(203, 555)(204, 538)(205, 553)(206, 548)(207, 564)(208, 562)(209, 625)(210, 626)(211, 627)(212, 628)(213, 629)(214, 630)(215, 631)(216, 632)(217, 633)(218, 634)(219, 635)(220, 636)(221, 637)(222, 638)(223, 639)(224, 640)(225, 641)(226, 642)(227, 643)(228, 644)(229, 645)(230, 646)(231, 647)(232, 648)(233, 649)(234, 650)(235, 651)(236, 652)(237, 653)(238, 654)(239, 655)(240, 656)(241, 657)(242, 658)(243, 659)(244, 660)(245, 661)(246, 662)(247, 663)(248, 664)(249, 665)(250, 666)(251, 667)(252, 668)(253, 669)(254, 670)(255, 671)(256, 672)(257, 673)(258, 674)(259, 675)(260, 676)(261, 677)(262, 678)(263, 679)(264, 680)(265, 681)(266, 682)(267, 683)(268, 684)(269, 685)(270, 686)(271, 687)(272, 688)(273, 689)(274, 690)(275, 691)(276, 692)(277, 693)(278, 694)(279, 695)(280, 696)(281, 697)(282, 698)(283, 699)(284, 700)(285, 701)(286, 702)(287, 703)(288, 704)(289, 705)(290, 706)(291, 707)(292, 708)(293, 709)(294, 710)(295, 711)(296, 712)(297, 713)(298, 714)(299, 715)(300, 716)(301, 717)(302, 718)(303, 719)(304, 720)(305, 721)(306, 722)(307, 723)(308, 724)(309, 725)(310, 726)(311, 727)(312, 728)(313, 729)(314, 730)(315, 731)(316, 732)(317, 733)(318, 734)(319, 735)(320, 736)(321, 737)(322, 738)(323, 739)(324, 740)(325, 741)(326, 742)(327, 743)(328, 744)(329, 745)(330, 746)(331, 747)(332, 748)(333, 749)(334, 750)(335, 751)(336, 752)(337, 753)(338, 754)(339, 755)(340, 756)(341, 757)(342, 758)(343, 759)(344, 760)(345, 761)(346, 762)(347, 763)(348, 764)(349, 765)(350, 766)(351, 767)(352, 768)(353, 769)(354, 770)(355, 771)(356, 772)(357, 773)(358, 774)(359, 775)(360, 776)(361, 777)(362, 778)(363, 779)(364, 780)(365, 781)(366, 782)(367, 783)(368, 784)(369, 785)(370, 786)(371, 787)(372, 788)(373, 789)(374, 790)(375, 791)(376, 792)(377, 793)(378, 794)(379, 795)(380, 796)(381, 797)(382, 798)(383, 799)(384, 800)(385, 801)(386, 802)(387, 803)(388, 804)(389, 805)(390, 806)(391, 807)(392, 808)(393, 809)(394, 810)(395, 811)(396, 812)(397, 813)(398, 814)(399, 815)(400, 816)(401, 817)(402, 818)(403, 819)(404, 820)(405, 821)(406, 822)(407, 823)(408, 824)(409, 825)(410, 826)(411, 827)(412, 828)(413, 829)(414, 830)(415, 831)(416, 832)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1449
Graph:: bipartite
	v = 106 e = 416 f = 260
	degree seq :: [ 4^104, 208^2 ]

E26.1449 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 104})
Quotient :: dipole
Aut^+ = C104 : C2 (small group id <208, 6>)
Aut   = (C2 x D104) : C2 (small group id <416, 129>)
|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^-52 * Y1^-1, (Y3 * Y2^-1)^104 ]
Map::
	R = (1, 209, 2, 210, 6, 214, 4, 212)(3, 211, 9, 217, 13, 221, 8, 216)(5, 213, 11, 219, 14, 222, 7, 215)(10, 218, 16, 224, 21, 229, 17, 225)(12, 220, 15, 223, 22, 230, 19, 227)(18, 226, 25, 233, 29, 237, 24, 232)(20, 228, 27, 235, 30, 238, 23, 231)(26, 234, 32, 240, 37, 245, 33, 241)(28, 236, 31, 239, 38, 246, 35, 243)(34, 242, 41, 249, 45, 253, 40, 248)(36, 244, 43, 251, 46, 254, 39, 247)(42, 250, 48, 256, 53, 261, 49, 257)(44, 252, 47, 255, 54, 262, 51, 259)(50, 258, 57, 265, 61, 269, 56, 264)(52, 260, 59, 267, 62, 270, 55, 263)(58, 266, 64, 272, 101, 309, 65, 273)(60, 268, 63, 271, 74, 282, 67, 275)(66, 274, 72, 280, 109, 317, 69, 277)(68, 276, 107, 315, 70, 278, 103, 311)(71, 279, 105, 313, 77, 285, 110, 318)(73, 281, 111, 319, 76, 284, 112, 320)(75, 283, 113, 321, 81, 289, 114, 322)(78, 286, 115, 323, 80, 288, 116, 324)(79, 287, 117, 325, 85, 293, 118, 326)(82, 290, 119, 327, 84, 292, 120, 328)(83, 291, 121, 329, 89, 297, 122, 330)(86, 294, 123, 331, 88, 296, 124, 332)(87, 295, 125, 333, 93, 301, 126, 334)(90, 298, 127, 335, 92, 300, 128, 336)(91, 299, 129, 337, 97, 305, 130, 338)(94, 302, 131, 339, 96, 304, 132, 340)(95, 303, 133, 341, 102, 310, 134, 342)(98, 306, 136, 344, 100, 308, 137, 345)(99, 307, 138, 346, 135, 343, 139, 347)(104, 312, 142, 350, 108, 316, 143, 351)(106, 314, 146, 354, 140, 348, 147, 355)(141, 349, 177, 385, 144, 352, 178, 386)(145, 353, 181, 389, 148, 356, 182, 390)(149, 357, 185, 393, 150, 358, 186, 394)(151, 359, 187, 395, 152, 360, 188, 396)(153, 361, 189, 397, 154, 362, 190, 398)(155, 363, 191, 399, 156, 364, 192, 400)(157, 365, 193, 401, 158, 366, 194, 402)(159, 367, 195, 403, 160, 368, 196, 404)(161, 369, 197, 405, 162, 370, 198, 406)(163, 371, 199, 407, 164, 372, 200, 408)(165, 373, 201, 409, 166, 374, 202, 410)(167, 375, 203, 411, 168, 376, 204, 412)(169, 377, 205, 413, 170, 378, 206, 414)(171, 379, 207, 415, 172, 380, 208, 416)(173, 381, 184, 392, 174, 382, 183, 391)(175, 383, 180, 388, 176, 384, 179, 387)(417, 625)(418, 626)(419, 627)(420, 628)(421, 629)(422, 630)(423, 631)(424, 632)(425, 633)(426, 634)(427, 635)(428, 636)(429, 637)(430, 638)(431, 639)(432, 640)(433, 641)(434, 642)(435, 643)(436, 644)(437, 645)(438, 646)(439, 647)(440, 648)(441, 649)(442, 650)(443, 651)(444, 652)(445, 653)(446, 654)(447, 655)(448, 656)(449, 657)(450, 658)(451, 659)(452, 660)(453, 661)(454, 662)(455, 663)(456, 664)(457, 665)(458, 666)(459, 667)(460, 668)(461, 669)(462, 670)(463, 671)(464, 672)(465, 673)(466, 674)(467, 675)(468, 676)(469, 677)(470, 678)(471, 679)(472, 680)(473, 681)(474, 682)(475, 683)(476, 684)(477, 685)(478, 686)(479, 687)(480, 688)(481, 689)(482, 690)(483, 691)(484, 692)(485, 693)(486, 694)(487, 695)(488, 696)(489, 697)(490, 698)(491, 699)(492, 700)(493, 701)(494, 702)(495, 703)(496, 704)(497, 705)(498, 706)(499, 707)(500, 708)(501, 709)(502, 710)(503, 711)(504, 712)(505, 713)(506, 714)(507, 715)(508, 716)(509, 717)(510, 718)(511, 719)(512, 720)(513, 721)(514, 722)(515, 723)(516, 724)(517, 725)(518, 726)(519, 727)(520, 728)(521, 729)(522, 730)(523, 731)(524, 732)(525, 733)(526, 734)(527, 735)(528, 736)(529, 737)(530, 738)(531, 739)(532, 740)(533, 741)(534, 742)(535, 743)(536, 744)(537, 745)(538, 746)(539, 747)(540, 748)(541, 749)(542, 750)(543, 751)(544, 752)(545, 753)(546, 754)(547, 755)(548, 756)(549, 757)(550, 758)(551, 759)(552, 760)(553, 761)(554, 762)(555, 763)(556, 764)(557, 765)(558, 766)(559, 767)(560, 768)(561, 769)(562, 770)(563, 771)(564, 772)(565, 773)(566, 774)(567, 775)(568, 776)(569, 777)(570, 778)(571, 779)(572, 780)(573, 781)(574, 782)(575, 783)(576, 784)(577, 785)(578, 786)(579, 787)(580, 788)(581, 789)(582, 790)(583, 791)(584, 792)(585, 793)(586, 794)(587, 795)(588, 796)(589, 797)(590, 798)(591, 799)(592, 800)(593, 801)(594, 802)(595, 803)(596, 804)(597, 805)(598, 806)(599, 807)(600, 808)(601, 809)(602, 810)(603, 811)(604, 812)(605, 813)(606, 814)(607, 815)(608, 816)(609, 817)(610, 818)(611, 819)(612, 820)(613, 821)(614, 822)(615, 823)(616, 824)(617, 825)(618, 826)(619, 827)(620, 828)(621, 829)(622, 830)(623, 831)(624, 832)
	L = (1, 419)(2, 423)(3, 426)(4, 427)(5, 417)(6, 429)(7, 431)(8, 418)(9, 420)(10, 434)(11, 435)(12, 421)(13, 437)(14, 422)(15, 439)(16, 424)(17, 425)(18, 442)(19, 443)(20, 428)(21, 445)(22, 430)(23, 447)(24, 432)(25, 433)(26, 450)(27, 451)(28, 436)(29, 453)(30, 438)(31, 455)(32, 440)(33, 441)(34, 458)(35, 459)(36, 444)(37, 461)(38, 446)(39, 463)(40, 448)(41, 449)(42, 466)(43, 467)(44, 452)(45, 469)(46, 454)(47, 471)(48, 456)(49, 457)(50, 474)(51, 475)(52, 460)(53, 477)(54, 462)(55, 479)(56, 464)(57, 465)(58, 482)(59, 483)(60, 468)(61, 517)(62, 470)(63, 519)(64, 472)(65, 473)(66, 521)(67, 523)(68, 476)(69, 480)(70, 490)(71, 488)(72, 481)(73, 484)(74, 478)(75, 493)(76, 486)(77, 485)(78, 492)(79, 497)(80, 489)(81, 487)(82, 496)(83, 501)(84, 494)(85, 491)(86, 500)(87, 505)(88, 498)(89, 495)(90, 504)(91, 509)(92, 502)(93, 499)(94, 508)(95, 513)(96, 506)(97, 503)(98, 512)(99, 518)(100, 510)(101, 525)(102, 507)(103, 527)(104, 516)(105, 529)(106, 551)(107, 528)(108, 514)(109, 526)(110, 530)(111, 531)(112, 532)(113, 533)(114, 534)(115, 535)(116, 536)(117, 537)(118, 538)(119, 539)(120, 540)(121, 541)(122, 542)(123, 543)(124, 544)(125, 545)(126, 546)(127, 547)(128, 548)(129, 549)(130, 550)(131, 552)(132, 553)(133, 554)(134, 555)(135, 511)(136, 558)(137, 559)(138, 562)(139, 563)(140, 515)(141, 524)(142, 593)(143, 594)(144, 520)(145, 556)(146, 597)(147, 598)(148, 522)(149, 560)(150, 557)(151, 564)(152, 561)(153, 566)(154, 565)(155, 568)(156, 567)(157, 570)(158, 569)(159, 572)(160, 571)(161, 574)(162, 573)(163, 576)(164, 575)(165, 578)(166, 577)(167, 580)(168, 579)(169, 582)(170, 581)(171, 584)(172, 583)(173, 586)(174, 585)(175, 588)(176, 587)(177, 601)(178, 602)(179, 590)(180, 589)(181, 603)(182, 604)(183, 592)(184, 591)(185, 605)(186, 606)(187, 607)(188, 608)(189, 609)(190, 610)(191, 611)(192, 612)(193, 613)(194, 614)(195, 615)(196, 616)(197, 617)(198, 618)(199, 619)(200, 620)(201, 621)(202, 622)(203, 623)(204, 624)(205, 600)(206, 599)(207, 596)(208, 595)(209, 625)(210, 626)(211, 627)(212, 628)(213, 629)(214, 630)(215, 631)(216, 632)(217, 633)(218, 634)(219, 635)(220, 636)(221, 637)(222, 638)(223, 639)(224, 640)(225, 641)(226, 642)(227, 643)(228, 644)(229, 645)(230, 646)(231, 647)(232, 648)(233, 649)(234, 650)(235, 651)(236, 652)(237, 653)(238, 654)(239, 655)(240, 656)(241, 657)(242, 658)(243, 659)(244, 660)(245, 661)(246, 662)(247, 663)(248, 664)(249, 665)(250, 666)(251, 667)(252, 668)(253, 669)(254, 670)(255, 671)(256, 672)(257, 673)(258, 674)(259, 675)(260, 676)(261, 677)(262, 678)(263, 679)(264, 680)(265, 681)(266, 682)(267, 683)(268, 684)(269, 685)(270, 686)(271, 687)(272, 688)(273, 689)(274, 690)(275, 691)(276, 692)(277, 693)(278, 694)(279, 695)(280, 696)(281, 697)(282, 698)(283, 699)(284, 700)(285, 701)(286, 702)(287, 703)(288, 704)(289, 705)(290, 706)(291, 707)(292, 708)(293, 709)(294, 710)(295, 711)(296, 712)(297, 713)(298, 714)(299, 715)(300, 716)(301, 717)(302, 718)(303, 719)(304, 720)(305, 721)(306, 722)(307, 723)(308, 724)(309, 725)(310, 726)(311, 727)(312, 728)(313, 729)(314, 730)(315, 731)(316, 732)(317, 733)(318, 734)(319, 735)(320, 736)(321, 737)(322, 738)(323, 739)(324, 740)(325, 741)(326, 742)(327, 743)(328, 744)(329, 745)(330, 746)(331, 747)(332, 748)(333, 749)(334, 750)(335, 751)(336, 752)(337, 753)(338, 754)(339, 755)(340, 756)(341, 757)(342, 758)(343, 759)(344, 760)(345, 761)(346, 762)(347, 763)(348, 764)(349, 765)(350, 766)(351, 767)(352, 768)(353, 769)(354, 770)(355, 771)(356, 772)(357, 773)(358, 774)(359, 775)(360, 776)(361, 777)(362, 778)(363, 779)(364, 780)(365, 781)(366, 782)(367, 783)(368, 784)(369, 785)(370, 786)(371, 787)(372, 788)(373, 789)(374, 790)(375, 791)(376, 792)(377, 793)(378, 794)(379, 795)(380, 796)(381, 797)(382, 798)(383, 799)(384, 800)(385, 801)(386, 802)(387, 803)(388, 804)(389, 805)(390, 806)(391, 807)(392, 808)(393, 809)(394, 810)(395, 811)(396, 812)(397, 813)(398, 814)(399, 815)(400, 816)(401, 817)(402, 818)(403, 819)(404, 820)(405, 821)(406, 822)(407, 823)(408, 824)(409, 825)(410, 826)(411, 827)(412, 828)(413, 829)(414, 830)(415, 831)(416, 832)
	local type(s) :: { ( 4, 208 ), ( 4, 208, 4, 208, 4, 208, 4, 208 ) }
Outer automorphisms :: reflexible
Dual of E26.1448
Graph:: simple bipartite
	v = 260 e = 416 f = 106
	degree seq :: [ 2^208, 8^52 ]

E26.1450 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 54})
Quotient :: regular
Aut^+ = (C54 x C2) : C2 (small group id <216, 8>)
Aut   = $<432, 47>$ (small group id <432, 47>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T1 * T2)^4, T1^54 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 45, 53, 61, 71, 75, 80, 85, 89, 93, 97, 102, 139, 147, 151, 155, 159, 163, 167, 172, 179, 213, 211, 207, 203, 199, 195, 191, 187, 181, 174, 169, 143, 136, 131, 127, 123, 119, 115, 68, 60, 52, 44, 36, 28, 19, 10, 4)(3, 7, 15, 25, 33, 41, 49, 57, 65, 69, 78, 74, 87, 84, 95, 92, 104, 100, 137, 146, 149, 154, 157, 162, 165, 171, 175, 184, 215, 210, 205, 202, 197, 194, 189, 186, 177, 142, 134, 130, 125, 122, 117, 114, 109, 113, 62, 55, 46, 39, 30, 22, 12, 8)(6, 13, 9, 18, 27, 35, 43, 51, 59, 67, 82, 70, 83, 79, 91, 88, 99, 96, 132, 106, 144, 150, 153, 158, 161, 166, 170, 176, 182, 216, 209, 206, 201, 198, 193, 190, 185, 178, 141, 135, 129, 126, 121, 118, 112, 110, 101, 63, 54, 47, 38, 31, 21, 14)(16, 23, 17, 24, 32, 40, 48, 56, 64, 72, 76, 73, 77, 81, 86, 90, 94, 98, 103, 140, 148, 152, 156, 160, 164, 168, 173, 180, 214, 212, 208, 204, 200, 196, 192, 188, 183, 145, 138, 133, 128, 124, 120, 116, 111, 108, 107, 105, 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, 101)(63, 72)(67, 105)(68, 82)(69, 107)(70, 108)(71, 109)(73, 110)(74, 111)(75, 112)(76, 113)(77, 114)(78, 115)(79, 116)(80, 117)(81, 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, 213)(184, 214)
	local type(s) :: { ( 4^54 ) }
Outer automorphisms :: reflexible
Dual of E26.1451
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 108 f = 54
	degree seq :: [ 54^4 ]

E26.1451 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 54})
Quotient :: regular
Aut^+ = (C54 x C2) : C2 (small group id <216, 8>)
Aut   = $<432, 47>$ (small group id <432, 47>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, (T1^-1 * T2 * T1^-1)^2, (T1 * T2)^54 ]
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, 96, 81, 98)(78, 109, 79, 110)(80, 93, 82, 97)(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, 160, 142, 159)(143, 169, 144, 170)(145, 156, 146, 155)(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, 210, 198, 209)(199, 208, 200, 207)(201, 215, 202, 216)(203, 214, 204, 213)(205, 211, 206, 212)
	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, 127)(110, 128)(111, 126)(112, 125)(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, 186)(170, 185)(171, 183)(172, 184)(173, 197)(175, 198)(187, 207)(189, 208)(199, 215)(200, 216)(201, 214)(202, 213)(203, 211)(204, 212)(205, 210)(206, 209)
	local type(s) :: { ( 54^4 ) }
Outer automorphisms :: reflexible
Dual of E26.1450
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 54 e = 108 f = 4
	degree seq :: [ 4^54 ]

E26.1452 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 54})
Quotient :: edge
Aut^+ = (C54 x C2) : C2 (small group id <216, 8>)
Aut   = $<432, 47>$ (small group id <432, 47>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, (T2 * T1)^54 ]
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, 45, 36, 47)(39, 66, 46, 68)(40, 61, 48, 63)(41, 72, 42, 69)(43, 77, 44, 65)(49, 74, 50, 71)(51, 79, 52, 76)(53, 87, 54, 85)(55, 91, 56, 89)(57, 95, 58, 93)(59, 99, 60, 97)(62, 103, 64, 101)(67, 114, 82, 116)(70, 109, 84, 111)(73, 120, 75, 117)(78, 125, 80, 113)(81, 107, 83, 105)(86, 122, 88, 119)(90, 127, 92, 124)(94, 135, 96, 133)(98, 139, 100, 137)(102, 143, 104, 141)(106, 147, 108, 145)(110, 151, 112, 149)(115, 162, 130, 164)(118, 157, 132, 159)(121, 168, 123, 165)(126, 173, 128, 161)(129, 155, 131, 153)(134, 170, 136, 167)(138, 175, 140, 172)(142, 183, 144, 181)(146, 187, 148, 185)(150, 191, 152, 189)(154, 195, 156, 193)(158, 199, 160, 197)(163, 210, 178, 212)(166, 205, 180, 207)(169, 211, 171, 213)(174, 214, 176, 209)(177, 203, 179, 201)(182, 216, 184, 215)(186, 206, 188, 208)(190, 204, 192, 202)(194, 200, 196, 198)(217, 218)(219, 223)(220, 225)(221, 226)(222, 228)(224, 227)(229, 233)(230, 234)(231, 235)(232, 236)(237, 241)(238, 242)(239, 243)(240, 244)(245, 249)(246, 250)(247, 251)(248, 252)(253, 277)(254, 279)(255, 281)(256, 285)(257, 287)(258, 290)(259, 292)(260, 295)(261, 282)(262, 293)(263, 284)(264, 288)(265, 301)(266, 303)(267, 305)(268, 307)(269, 309)(270, 311)(271, 313)(272, 315)(273, 317)(274, 319)(275, 321)(276, 323)(278, 325)(280, 327)(283, 329)(286, 333)(289, 335)(291, 338)(294, 340)(296, 343)(297, 330)(298, 341)(299, 332)(300, 336)(302, 349)(304, 351)(306, 353)(308, 355)(310, 357)(312, 359)(314, 361)(316, 363)(318, 365)(320, 367)(322, 369)(324, 371)(326, 373)(328, 375)(331, 377)(334, 381)(337, 383)(339, 386)(342, 388)(344, 391)(345, 378)(346, 389)(347, 380)(348, 384)(350, 397)(352, 399)(354, 401)(356, 403)(358, 405)(360, 407)(362, 409)(364, 411)(366, 413)(368, 415)(370, 417)(372, 419)(374, 421)(376, 423)(379, 425)(382, 429)(385, 431)(387, 432)(390, 424)(392, 422)(393, 426)(394, 430)(395, 428)(396, 427)(398, 418)(400, 420)(402, 414)(404, 416)(406, 412)(408, 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) :: { ( 108, 108 ), ( 108^4 ) }
Outer automorphisms :: reflexible
Dual of E26.1456
Transitivity :: ET+
Graph:: simple bipartite
	v = 162 e = 216 f = 4
	degree seq :: [ 2^108, 4^54 ]

E26.1453 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 54})
Quotient :: edge
Aut^+ = (C54 x C2) : C2 (small group id <216, 8>)
Aut   = $<432, 47>$ (small group id <432, 47>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T2^54 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 18, 26, 34, 42, 50, 58, 66, 113, 118, 122, 129, 134, 138, 142, 146, 150, 155, 163, 206, 209, 213, 203, 198, 193, 190, 185, 182, 177, 172, 167, 174, 160, 112, 108, 102, 100, 94, 92, 83, 79, 70, 77, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 111, 127, 120, 125, 132, 136, 140, 144, 148, 153, 159, 202, 215, 211, 207, 200, 195, 192, 187, 184, 179, 176, 169, 166, 164, 114, 151, 103, 105, 95, 97, 85, 87, 71, 74, 73, 88, 64, 56, 48, 40, 32, 24, 16, 8)(4, 11, 19, 27, 35, 43, 51, 59, 67, 115, 126, 119, 124, 131, 135, 139, 143, 147, 152, 158, 201, 216, 212, 208, 199, 196, 191, 188, 183, 180, 175, 170, 165, 161, 156, 107, 110, 99, 101, 91, 93, 78, 81, 69, 82, 80, 65, 57, 49, 41, 33, 25, 17, 9)(6, 13, 21, 29, 37, 45, 53, 61, 109, 130, 123, 117, 121, 128, 133, 137, 141, 145, 149, 154, 162, 205, 210, 214, 204, 197, 194, 189, 186, 181, 178, 171, 168, 173, 157, 116, 106, 104, 98, 96, 89, 86, 75, 72, 76, 84, 90, 62, 54, 46, 38, 30, 22, 14)(217, 218, 222, 220)(219, 225, 229, 224)(221, 227, 230, 223)(226, 232, 237, 233)(228, 231, 238, 235)(234, 241, 245, 240)(236, 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, 325, 281)(276, 279, 306, 283)(282, 296, 346, 304)(284, 331, 300, 327)(285, 333, 290, 334)(286, 335, 288, 336)(287, 337, 297, 338)(289, 339, 298, 329)(291, 340, 295, 341)(292, 342, 293, 343)(294, 344, 303, 345)(299, 347, 302, 348)(301, 349, 309, 350)(305, 351, 308, 352)(307, 353, 313, 354)(310, 355, 312, 356)(311, 357, 317, 358)(314, 359, 316, 360)(315, 361, 321, 362)(318, 363, 320, 364)(319, 365, 326, 366)(322, 368, 324, 369)(323, 370, 367, 371)(328, 374, 332, 375)(330, 378, 372, 379)(373, 417, 376, 418)(377, 421, 380, 422)(381, 425, 382, 426)(383, 427, 384, 428)(385, 429, 386, 430)(387, 423, 388, 424)(389, 431, 390, 432)(391, 419, 392, 420)(393, 416, 394, 415)(395, 414, 396, 413)(397, 411, 398, 412)(399, 409, 400, 410)(401, 408, 402, 407)(403, 406, 404, 405)
	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) :: { ( 4^4 ), ( 4^54 ) }
Outer automorphisms :: reflexible
Dual of E26.1457
Transitivity :: ET+
Graph:: simple bipartite
	v = 58 e = 216 f = 108
	degree seq :: [ 4^54, 54^4 ]

E26.1454 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 54})
Quotient :: edge
Aut^+ = (C54 x C2) : C2 (small group id <216, 8>)
Aut   = $<432, 47>$ (small group id <432, 47>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T1^54 ]
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, 105)(63, 87)(67, 109)(68, 73)(69, 111)(70, 113)(71, 115)(72, 117)(74, 120)(75, 122)(76, 124)(77, 126)(78, 128)(79, 130)(80, 132)(81, 134)(82, 136)(83, 138)(84, 140)(85, 142)(86, 144)(88, 147)(89, 149)(90, 151)(91, 153)(92, 155)(93, 157)(94, 159)(95, 161)(96, 163)(97, 165)(98, 167)(99, 169)(100, 171)(101, 173)(102, 175)(103, 177)(104, 179)(106, 181)(107, 183)(108, 185)(110, 187)(112, 189)(114, 191)(116, 193)(118, 195)(119, 197)(121, 199)(123, 201)(125, 203)(127, 204)(129, 205)(131, 196)(133, 207)(135, 209)(137, 211)(139, 194)(141, 213)(143, 212)(145, 210)(146, 215)(148, 192)(150, 198)(152, 200)(154, 190)(156, 214)(158, 186)(160, 206)(162, 208)(164, 182)(166, 180)(168, 202)(170, 174)(172, 216)(176, 188)(178, 184)(217, 218, 221, 227, 236, 245, 253, 261, 269, 277, 285, 286, 288, 293, 299, 305, 309, 313, 317, 322, 328, 330, 334, 343, 355, 366, 374, 382, 390, 398, 406, 408, 412, 419, 409, 413, 401, 395, 385, 379, 369, 363, 346, 340, 331, 284, 276, 268, 260, 252, 244, 235, 226, 220)(219, 223, 231, 241, 249, 257, 265, 273, 281, 291, 287, 290, 295, 302, 307, 311, 315, 319, 324, 339, 332, 337, 347, 361, 370, 378, 386, 394, 402, 418, 410, 416, 411, 425, 405, 423, 389, 399, 373, 383, 354, 367, 333, 350, 327, 348, 278, 271, 262, 255, 246, 238, 228, 224)(222, 229, 225, 234, 243, 251, 259, 267, 275, 283, 289, 294, 292, 298, 304, 308, 312, 316, 320, 326, 335, 345, 341, 353, 364, 372, 380, 388, 396, 404, 414, 422, 420, 428, 407, 429, 397, 431, 381, 391, 365, 375, 342, 358, 329, 356, 321, 279, 270, 263, 254, 247, 237, 230)(232, 239, 233, 240, 248, 256, 264, 272, 280, 303, 296, 300, 297, 301, 306, 310, 314, 318, 323, 362, 349, 357, 351, 359, 368, 376, 384, 392, 400, 432, 424, 430, 426, 427, 415, 421, 417, 403, 393, 387, 377, 371, 360, 352, 336, 344, 338, 325, 282, 274, 266, 258, 250, 242)
	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, 8 ), ( 8^54 ) }
Outer automorphisms :: reflexible
Dual of E26.1455
Transitivity :: ET+
Graph:: simple bipartite
	v = 112 e = 216 f = 54
	degree seq :: [ 2^108, 54^4 ]

E26.1455 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 54})
Quotient :: loop
Aut^+ = (C54 x C2) : C2 (small group id <216, 8>)
Aut   = $<432, 47>$ (small group id <432, 47>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, (T2 * T1)^54 ]
Map::
	R = (1, 217, 3, 219, 8, 224, 4, 220)(2, 218, 5, 221, 11, 227, 6, 222)(7, 223, 13, 229, 9, 225, 14, 230)(10, 226, 15, 231, 12, 228, 16, 232)(17, 233, 21, 237, 18, 234, 22, 238)(19, 235, 23, 239, 20, 236, 24, 240)(25, 241, 29, 245, 26, 242, 30, 246)(27, 243, 31, 247, 28, 244, 32, 248)(33, 249, 37, 253, 34, 250, 38, 254)(35, 251, 57, 273, 36, 252, 59, 275)(39, 255, 61, 277, 42, 258, 63, 279)(40, 256, 64, 280, 45, 261, 66, 282)(41, 257, 67, 283, 43, 259, 69, 285)(44, 260, 72, 288, 46, 262, 74, 290)(47, 263, 77, 293, 48, 264, 79, 295)(49, 265, 81, 297, 50, 266, 83, 299)(51, 267, 85, 301, 52, 268, 87, 303)(53, 269, 89, 305, 54, 270, 91, 307)(55, 271, 93, 309, 56, 272, 95, 311)(58, 274, 98, 314, 60, 276, 97, 313)(62, 278, 102, 318, 70, 286, 101, 317)(65, 281, 105, 321, 75, 291, 104, 320)(68, 284, 108, 324, 71, 287, 107, 323)(73, 289, 113, 329, 76, 292, 112, 328)(78, 294, 118, 334, 80, 296, 117, 333)(82, 298, 122, 338, 84, 300, 121, 337)(86, 302, 126, 342, 88, 304, 125, 341)(90, 306, 130, 346, 92, 308, 129, 345)(94, 310, 134, 350, 96, 312, 133, 349)(99, 315, 137, 353, 100, 316, 138, 354)(103, 319, 141, 357, 110, 326, 142, 358)(106, 322, 144, 360, 115, 331, 145, 361)(109, 325, 147, 363, 111, 327, 148, 364)(114, 330, 152, 368, 116, 332, 153, 369)(119, 335, 157, 373, 120, 336, 158, 374)(123, 339, 161, 377, 124, 340, 162, 378)(127, 343, 165, 381, 128, 344, 166, 382)(131, 347, 169, 385, 132, 348, 170, 386)(135, 351, 173, 389, 136, 352, 174, 390)(139, 355, 178, 394, 140, 356, 177, 393)(143, 359, 182, 398, 150, 366, 181, 397)(146, 362, 185, 401, 155, 371, 184, 400)(149, 365, 188, 404, 151, 367, 187, 403)(154, 370, 193, 409, 156, 372, 192, 408)(159, 375, 198, 414, 160, 376, 197, 413)(163, 379, 202, 418, 164, 380, 201, 417)(167, 383, 206, 422, 168, 384, 205, 421)(171, 387, 210, 426, 172, 388, 209, 425)(175, 391, 214, 430, 176, 392, 213, 429)(179, 395, 216, 432, 180, 396, 215, 431)(183, 399, 211, 427, 190, 406, 212, 428)(186, 402, 207, 423, 195, 411, 208, 424)(189, 405, 204, 420, 191, 407, 203, 419)(194, 410, 200, 416, 196, 412, 199, 415)
	L = (1, 218)(2, 217)(3, 223)(4, 225)(5, 226)(6, 228)(7, 219)(8, 227)(9, 220)(10, 221)(11, 224)(12, 222)(13, 233)(14, 234)(15, 235)(16, 236)(17, 229)(18, 230)(19, 231)(20, 232)(21, 241)(22, 242)(23, 243)(24, 244)(25, 237)(26, 238)(27, 239)(28, 240)(29, 249)(30, 250)(31, 251)(32, 252)(33, 245)(34, 246)(35, 247)(36, 248)(37, 255)(38, 258)(39, 253)(40, 273)(41, 277)(42, 254)(43, 279)(44, 280)(45, 275)(46, 282)(47, 283)(48, 285)(49, 288)(50, 290)(51, 293)(52, 295)(53, 297)(54, 299)(55, 301)(56, 303)(57, 256)(58, 305)(59, 261)(60, 307)(61, 257)(62, 309)(63, 259)(64, 260)(65, 314)(66, 262)(67, 263)(68, 318)(69, 264)(70, 311)(71, 317)(72, 265)(73, 321)(74, 266)(75, 313)(76, 320)(77, 267)(78, 324)(79, 268)(80, 323)(81, 269)(82, 329)(83, 270)(84, 328)(85, 271)(86, 334)(87, 272)(88, 333)(89, 274)(90, 338)(91, 276)(92, 337)(93, 278)(94, 342)(95, 286)(96, 341)(97, 291)(98, 281)(99, 346)(100, 345)(101, 287)(102, 284)(103, 350)(104, 292)(105, 289)(106, 353)(107, 296)(108, 294)(109, 357)(110, 349)(111, 358)(112, 300)(113, 298)(114, 360)(115, 354)(116, 361)(117, 304)(118, 302)(119, 363)(120, 364)(121, 308)(122, 306)(123, 368)(124, 369)(125, 312)(126, 310)(127, 373)(128, 374)(129, 316)(130, 315)(131, 377)(132, 378)(133, 326)(134, 319)(135, 381)(136, 382)(137, 322)(138, 331)(139, 385)(140, 386)(141, 325)(142, 327)(143, 389)(144, 330)(145, 332)(146, 394)(147, 335)(148, 336)(149, 398)(150, 390)(151, 397)(152, 339)(153, 340)(154, 401)(155, 393)(156, 400)(157, 343)(158, 344)(159, 404)(160, 403)(161, 347)(162, 348)(163, 409)(164, 408)(165, 351)(166, 352)(167, 414)(168, 413)(169, 355)(170, 356)(171, 418)(172, 417)(173, 359)(174, 366)(175, 422)(176, 421)(177, 371)(178, 362)(179, 426)(180, 425)(181, 367)(182, 365)(183, 430)(184, 372)(185, 370)(186, 432)(187, 376)(188, 375)(189, 427)(190, 429)(191, 428)(192, 380)(193, 379)(194, 423)(195, 431)(196, 424)(197, 384)(198, 383)(199, 420)(200, 419)(201, 388)(202, 387)(203, 416)(204, 415)(205, 392)(206, 391)(207, 410)(208, 412)(209, 396)(210, 395)(211, 405)(212, 407)(213, 406)(214, 399)(215, 411)(216, 402)
	local type(s) :: { ( 2, 54, 2, 54, 2, 54, 2, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.1454
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 54 e = 216 f = 112
	degree seq :: [ 8^54 ]

E26.1456 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 54})
Quotient :: loop
Aut^+ = (C54 x C2) : C2 (small group id <216, 8>)
Aut   = $<432, 47>$ (small group id <432, 47>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T2^54 ]
Map::
	R = (1, 217, 3, 219, 10, 226, 18, 234, 26, 242, 34, 250, 42, 258, 50, 266, 58, 274, 66, 282, 73, 289, 79, 295, 82, 298, 87, 303, 90, 306, 95, 311, 98, 314, 104, 320, 144, 360, 150, 366, 153, 369, 158, 374, 161, 377, 166, 382, 169, 385, 174, 390, 177, 393, 214, 430, 211, 427, 207, 423, 203, 419, 199, 415, 195, 411, 191, 407, 187, 403, 182, 398, 145, 361, 138, 354, 133, 349, 129, 345, 125, 341, 121, 337, 117, 333, 113, 329, 109, 325, 68, 284, 60, 276, 52, 268, 44, 260, 36, 252, 28, 244, 20, 236, 12, 228, 5, 221)(2, 218, 7, 223, 15, 231, 23, 239, 31, 247, 39, 255, 47, 263, 55, 271, 63, 279, 69, 285, 77, 293, 76, 292, 85, 301, 84, 300, 93, 309, 92, 308, 101, 317, 100, 316, 139, 355, 148, 364, 152, 368, 155, 371, 160, 376, 163, 379, 168, 384, 171, 387, 176, 392, 181, 397, 213, 429, 209, 425, 205, 421, 201, 417, 197, 413, 193, 409, 189, 405, 185, 401, 178, 394, 141, 357, 136, 352, 131, 347, 127, 343, 123, 339, 119, 335, 115, 331, 111, 327, 108, 324, 64, 280, 56, 272, 48, 264, 40, 256, 32, 248, 24, 240, 16, 232, 8, 224)(4, 220, 11, 227, 19, 235, 27, 243, 35, 251, 43, 259, 51, 267, 59, 275, 67, 283, 72, 288, 71, 287, 81, 297, 80, 296, 89, 305, 88, 304, 97, 313, 96, 312, 134, 350, 106, 322, 146, 362, 151, 367, 156, 372, 159, 375, 164, 380, 167, 383, 172, 388, 175, 391, 184, 400, 215, 431, 210, 426, 206, 422, 202, 418, 198, 414, 194, 410, 190, 406, 186, 402, 179, 395, 143, 359, 137, 353, 132, 348, 128, 344, 124, 340, 120, 336, 116, 332, 112, 328, 105, 321, 65, 281, 57, 273, 49, 265, 41, 257, 33, 249, 25, 241, 17, 233, 9, 225)(6, 222, 13, 229, 21, 237, 29, 245, 37, 253, 45, 261, 53, 269, 61, 277, 75, 291, 70, 286, 74, 290, 78, 294, 83, 299, 86, 302, 91, 307, 94, 310, 99, 315, 103, 319, 142, 358, 149, 365, 154, 370, 157, 373, 162, 378, 165, 381, 170, 386, 173, 389, 180, 396, 216, 432, 212, 428, 208, 424, 204, 420, 200, 416, 196, 412, 192, 408, 188, 404, 183, 399, 147, 363, 140, 356, 135, 351, 130, 346, 126, 342, 122, 338, 118, 334, 114, 330, 110, 326, 107, 323, 102, 318, 62, 278, 54, 270, 46, 262, 38, 254, 30, 246, 22, 238, 14, 230)
	L = (1, 218)(2, 222)(3, 225)(4, 217)(5, 227)(6, 220)(7, 221)(8, 219)(9, 229)(10, 232)(11, 230)(12, 231)(13, 224)(14, 223)(15, 238)(16, 237)(17, 226)(18, 241)(19, 228)(20, 243)(21, 233)(22, 235)(23, 236)(24, 234)(25, 245)(26, 248)(27, 246)(28, 247)(29, 240)(30, 239)(31, 254)(32, 253)(33, 242)(34, 257)(35, 244)(36, 259)(37, 249)(38, 251)(39, 252)(40, 250)(41, 261)(42, 264)(43, 262)(44, 263)(45, 256)(46, 255)(47, 270)(48, 269)(49, 258)(50, 273)(51, 260)(52, 275)(53, 265)(54, 267)(55, 268)(56, 266)(57, 277)(58, 280)(59, 278)(60, 279)(61, 272)(62, 271)(63, 318)(64, 291)(65, 274)(66, 321)(67, 276)(68, 288)(69, 284)(70, 324)(71, 325)(72, 323)(73, 327)(74, 328)(75, 281)(76, 329)(77, 326)(78, 331)(79, 332)(80, 333)(81, 330)(82, 335)(83, 336)(84, 337)(85, 334)(86, 339)(87, 340)(88, 341)(89, 338)(90, 343)(91, 344)(92, 345)(93, 342)(94, 347)(95, 348)(96, 349)(97, 346)(98, 352)(99, 353)(100, 354)(101, 351)(102, 283)(103, 357)(104, 359)(105, 286)(106, 361)(107, 285)(108, 282)(109, 293)(110, 287)(111, 290)(112, 289)(113, 297)(114, 292)(115, 295)(116, 294)(117, 301)(118, 296)(119, 299)(120, 298)(121, 305)(122, 300)(123, 303)(124, 302)(125, 309)(126, 304)(127, 307)(128, 306)(129, 313)(130, 308)(131, 311)(132, 310)(133, 317)(134, 356)(135, 312)(136, 315)(137, 314)(138, 350)(139, 363)(140, 316)(141, 320)(142, 395)(143, 319)(144, 394)(145, 355)(146, 399)(147, 322)(148, 398)(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, 358)(179, 360)(180, 431)(181, 430)(182, 362)(183, 364)(184, 432)(185, 366)(186, 365)(187, 368)(188, 367)(189, 370)(190, 369)(191, 372)(192, 371)(193, 374)(194, 373)(195, 376)(196, 375)(197, 378)(198, 377)(199, 380)(200, 379)(201, 382)(202, 381)(203, 384)(204, 383)(205, 386)(206, 385)(207, 388)(208, 387)(209, 390)(210, 389)(211, 392)(212, 391)(213, 396)(214, 400)(215, 393)(216, 397)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1452
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 216 f = 162
	degree seq :: [ 108^4 ]

E26.1457 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 54})
Quotient :: loop
Aut^+ = (C54 x C2) : C2 (small group id <216, 8>)
Aut   = $<432, 47>$ (small group id <432, 47>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T1^54 ]
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, 15, 231)(11, 227, 21, 237)(13, 229, 23, 239)(14, 230, 24, 240)(18, 234, 26, 242)(19, 235, 27, 243)(20, 236, 30, 246)(22, 238, 32, 248)(25, 241, 34, 250)(28, 244, 33, 249)(29, 245, 38, 254)(31, 247, 40, 256)(35, 251, 42, 258)(36, 252, 43, 259)(37, 253, 46, 262)(39, 255, 48, 264)(41, 257, 50, 266)(44, 260, 49, 265)(45, 261, 54, 270)(47, 263, 56, 272)(51, 267, 58, 274)(52, 268, 59, 275)(53, 269, 62, 278)(55, 271, 64, 280)(57, 273, 66, 282)(60, 276, 65, 281)(61, 277, 87, 303)(63, 279, 115, 331)(67, 283, 96, 312)(68, 284, 119, 335)(69, 285, 121, 337)(70, 286, 122, 338)(71, 287, 123, 339)(72, 288, 124, 340)(73, 289, 125, 341)(74, 290, 126, 342)(75, 291, 127, 343)(76, 292, 128, 344)(77, 293, 129, 345)(78, 294, 113, 329)(79, 295, 130, 346)(80, 296, 131, 347)(81, 297, 132, 348)(82, 298, 133, 349)(83, 299, 134, 350)(84, 300, 135, 351)(85, 301, 136, 352)(86, 302, 137, 353)(88, 304, 138, 354)(89, 305, 117, 333)(90, 306, 139, 355)(91, 307, 140, 356)(92, 308, 141, 357)(93, 309, 142, 358)(94, 310, 143, 359)(95, 311, 144, 360)(97, 313, 145, 361)(98, 314, 146, 362)(99, 315, 147, 363)(100, 316, 148, 364)(101, 317, 149, 365)(102, 318, 150, 366)(103, 319, 151, 367)(104, 320, 152, 368)(105, 321, 153, 369)(106, 322, 155, 371)(107, 323, 156, 372)(108, 324, 157, 373)(109, 325, 158, 374)(110, 326, 160, 376)(111, 327, 161, 377)(112, 328, 162, 378)(114, 330, 164, 380)(116, 332, 166, 382)(118, 334, 168, 384)(120, 336, 170, 386)(154, 370, 202, 418)(159, 375, 207, 423)(163, 379, 211, 427)(165, 381, 213, 429)(167, 383, 215, 431)(169, 385, 212, 428)(171, 387, 204, 420)(172, 388, 200, 416)(173, 389, 197, 413)(174, 390, 210, 426)(175, 391, 195, 411)(176, 392, 201, 417)(177, 393, 203, 419)(178, 394, 214, 430)(179, 395, 193, 409)(180, 396, 192, 408)(181, 397, 206, 422)(182, 398, 208, 424)(183, 399, 216, 432)(184, 400, 188, 404)(185, 401, 209, 425)(186, 402, 199, 415)(187, 403, 198, 414)(189, 405, 205, 421)(190, 406, 196, 412)(191, 407, 194, 410)
	L = (1, 218)(2, 221)(3, 223)(4, 217)(5, 227)(6, 229)(7, 231)(8, 219)(9, 234)(10, 220)(11, 236)(12, 224)(13, 225)(14, 222)(15, 241)(16, 239)(17, 240)(18, 243)(19, 226)(20, 245)(21, 230)(22, 228)(23, 233)(24, 248)(25, 249)(26, 232)(27, 251)(28, 235)(29, 253)(30, 238)(31, 237)(32, 256)(33, 257)(34, 242)(35, 259)(36, 244)(37, 261)(38, 247)(39, 246)(40, 264)(41, 265)(42, 250)(43, 267)(44, 252)(45, 269)(46, 255)(47, 254)(48, 272)(49, 273)(50, 258)(51, 275)(52, 260)(53, 277)(54, 263)(55, 262)(56, 280)(57, 281)(58, 266)(59, 283)(60, 268)(61, 329)(62, 271)(63, 270)(64, 331)(65, 333)(66, 274)(67, 335)(68, 276)(69, 300)(70, 306)(71, 290)(72, 309)(73, 301)(74, 296)(75, 297)(76, 298)(77, 287)(78, 315)(79, 307)(80, 284)(81, 292)(82, 305)(83, 293)(84, 294)(85, 285)(86, 291)(87, 279)(88, 313)(89, 312)(90, 288)(91, 286)(92, 302)(93, 303)(94, 299)(95, 318)(96, 282)(97, 289)(98, 310)(99, 278)(100, 308)(101, 322)(102, 295)(103, 316)(104, 314)(105, 326)(106, 304)(107, 320)(108, 319)(109, 332)(110, 311)(111, 324)(112, 323)(113, 340)(114, 370)(115, 363)(116, 317)(117, 347)(118, 328)(119, 349)(120, 327)(121, 338)(122, 341)(123, 343)(124, 337)(125, 346)(126, 348)(127, 350)(128, 339)(129, 353)(130, 354)(131, 344)(132, 345)(133, 342)(134, 357)(135, 355)(136, 356)(137, 359)(138, 360)(139, 352)(140, 361)(141, 362)(142, 351)(143, 364)(144, 365)(145, 366)(146, 367)(147, 358)(148, 368)(149, 369)(150, 371)(151, 372)(152, 373)(153, 374)(154, 321)(155, 376)(156, 377)(157, 378)(158, 380)(159, 325)(160, 382)(161, 384)(162, 386)(163, 375)(164, 427)(165, 330)(166, 418)(167, 336)(168, 431)(169, 334)(170, 428)(171, 401)(172, 405)(173, 392)(174, 381)(175, 402)(176, 397)(177, 398)(178, 399)(179, 389)(180, 406)(181, 385)(182, 394)(183, 383)(184, 395)(185, 379)(186, 387)(187, 393)(188, 410)(189, 390)(190, 388)(191, 403)(192, 400)(193, 414)(194, 391)(195, 408)(196, 407)(197, 419)(198, 396)(199, 412)(200, 411)(201, 424)(202, 423)(203, 404)(204, 416)(205, 415)(206, 430)(207, 429)(208, 409)(209, 421)(210, 420)(211, 426)(212, 432)(213, 425)(214, 413)(215, 422)(216, 417)
	local type(s) :: { ( 4, 54, 4, 54 ) }
Outer automorphisms :: reflexible
Dual of E26.1453
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 108 e = 216 f = 58
	degree seq :: [ 4^108 ]

E26.1458 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 54})
Quotient :: dipole
Aut^+ = (C54 x C2) : C2 (small group id <216, 8>)
Aut   = $<432, 47>$ (small group id <432, 47>)
|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)^54 ]
Map::
	R = (1, 217, 2, 218)(3, 219, 9, 225)(4, 220, 12, 228)(5, 221, 15, 231)(6, 222, 17, 233)(7, 223, 20, 236)(8, 224, 23, 239)(10, 226, 18, 234)(11, 227, 21, 237)(13, 229, 19, 235)(14, 230, 24, 240)(16, 232, 22, 238)(25, 241, 45, 261)(26, 242, 47, 263)(27, 243, 49, 265)(28, 244, 48, 264)(29, 245, 46, 262)(30, 246, 50, 266)(31, 247, 53, 269)(32, 248, 56, 272)(33, 249, 54, 270)(34, 250, 55, 271)(35, 251, 59, 275)(36, 252, 61, 277)(37, 253, 63, 279)(38, 254, 62, 278)(39, 255, 60, 276)(40, 256, 64, 280)(41, 257, 67, 283)(42, 258, 70, 286)(43, 259, 68, 284)(44, 260, 69, 285)(51, 267, 71, 287)(52, 268, 72, 288)(57, 273, 65, 281)(58, 274, 66, 282)(73, 289, 93, 309)(74, 290, 105, 321)(75, 291, 92, 308)(76, 292, 91, 307)(77, 293, 89, 305)(78, 294, 108, 324)(79, 295, 110, 326)(80, 296, 109, 325)(81, 297, 106, 322)(82, 298, 107, 323)(83, 299, 113, 329)(84, 300, 116, 332)(85, 301, 114, 330)(86, 302, 115, 331)(87, 303, 117, 333)(88, 304, 118, 334)(90, 306, 121, 337)(94, 310, 124, 340)(95, 311, 126, 342)(96, 312, 125, 341)(97, 313, 122, 338)(98, 314, 123, 339)(99, 315, 129, 345)(100, 316, 132, 348)(101, 317, 130, 346)(102, 318, 131, 347)(103, 319, 133, 349)(104, 320, 134, 350)(111, 327, 135, 351)(112, 328, 136, 352)(119, 335, 127, 343)(120, 336, 128, 344)(137, 353, 155, 371)(138, 354, 165, 381)(139, 355, 156, 372)(140, 356, 166, 382)(141, 357, 151, 367)(142, 358, 153, 369)(143, 359, 169, 385)(144, 360, 172, 388)(145, 361, 170, 386)(146, 362, 171, 387)(147, 363, 173, 389)(148, 364, 174, 390)(149, 365, 175, 391)(150, 366, 176, 392)(152, 368, 179, 395)(154, 370, 180, 396)(157, 373, 183, 399)(158, 374, 186, 402)(159, 375, 184, 400)(160, 376, 185, 401)(161, 377, 187, 403)(162, 378, 188, 404)(163, 379, 189, 405)(164, 380, 190, 406)(167, 383, 191, 407)(168, 384, 192, 408)(177, 393, 181, 397)(178, 394, 182, 398)(193, 409, 207, 423)(194, 410, 215, 431)(195, 411, 208, 424)(196, 412, 204, 420)(197, 413, 206, 422)(198, 414, 213, 429)(199, 415, 214, 430)(200, 416, 212, 428)(201, 417, 211, 427)(202, 418, 209, 425)(203, 419, 210, 426)(205, 421, 216, 432)(433, 649, 435, 651, 442, 658, 437, 653)(434, 650, 438, 654, 450, 666, 440, 656)(436, 652, 445, 661, 460, 676, 446, 662)(439, 655, 453, 669, 470, 686, 454, 670)(441, 657, 457, 673, 447, 663, 459, 675)(443, 659, 461, 677, 448, 664, 462, 678)(444, 660, 458, 674, 480, 696, 464, 680)(449, 665, 467, 683, 455, 671, 469, 685)(451, 667, 471, 687, 456, 672, 472, 688)(452, 668, 468, 684, 494, 710, 474, 690)(463, 679, 486, 702, 512, 728, 487, 703)(465, 681, 489, 705, 466, 682, 490, 706)(473, 689, 500, 716, 528, 744, 501, 717)(475, 691, 503, 719, 476, 692, 504, 720)(477, 693, 505, 721, 481, 697, 507, 723)(478, 694, 508, 724, 482, 698, 509, 725)(479, 695, 506, 722, 488, 704, 511, 727)(483, 699, 513, 729, 484, 700, 514, 730)(485, 701, 510, 726, 541, 757, 516, 732)(491, 707, 521, 737, 495, 711, 523, 739)(492, 708, 524, 740, 496, 712, 525, 741)(493, 709, 522, 738, 502, 718, 527, 743)(497, 713, 529, 745, 498, 714, 530, 746)(499, 715, 526, 742, 557, 773, 532, 748)(515, 731, 546, 762, 572, 788, 547, 763)(517, 733, 549, 765, 518, 734, 550, 766)(519, 735, 551, 767, 520, 736, 552, 768)(531, 747, 562, 778, 586, 802, 563, 779)(533, 749, 565, 781, 534, 750, 566, 782)(535, 751, 567, 783, 536, 752, 568, 784)(537, 753, 555, 771, 542, 758, 554, 770)(538, 754, 553, 769, 539, 755, 558, 774)(540, 756, 569, 785, 548, 764, 571, 787)(543, 759, 573, 789, 544, 760, 574, 790)(545, 761, 570, 786, 598, 814, 576, 792)(556, 772, 583, 799, 564, 780, 585, 801)(559, 775, 587, 803, 560, 776, 588, 804)(561, 777, 584, 800, 612, 828, 590, 806)(575, 791, 602, 818, 626, 842, 603, 819)(577, 793, 605, 821, 578, 794, 606, 822)(579, 795, 607, 823, 580, 796, 608, 824)(581, 797, 609, 825, 582, 798, 610, 826)(589, 805, 616, 832, 637, 853, 617, 833)(591, 807, 619, 835, 592, 808, 620, 836)(593, 809, 621, 837, 594, 810, 622, 838)(595, 811, 623, 839, 596, 812, 624, 840)(597, 813, 613, 829, 604, 820, 614, 830)(599, 815, 618, 834, 600, 816, 611, 827)(601, 817, 625, 841, 647, 863, 627, 843)(615, 831, 636, 852, 648, 864, 638, 854)(628, 844, 645, 861, 629, 845, 646, 862)(630, 846, 644, 860, 631, 847, 643, 859)(632, 848, 641, 857, 633, 849, 642, 858)(634, 850, 640, 856, 635, 851, 639, 855)
	L = (1, 434)(2, 433)(3, 441)(4, 444)(5, 447)(6, 449)(7, 452)(8, 455)(9, 435)(10, 450)(11, 453)(12, 436)(13, 451)(14, 456)(15, 437)(16, 454)(17, 438)(18, 442)(19, 445)(20, 439)(21, 443)(22, 448)(23, 440)(24, 446)(25, 477)(26, 479)(27, 481)(28, 480)(29, 478)(30, 482)(31, 485)(32, 488)(33, 486)(34, 487)(35, 491)(36, 493)(37, 495)(38, 494)(39, 492)(40, 496)(41, 499)(42, 502)(43, 500)(44, 501)(45, 457)(46, 461)(47, 458)(48, 460)(49, 459)(50, 462)(51, 503)(52, 504)(53, 463)(54, 465)(55, 466)(56, 464)(57, 497)(58, 498)(59, 467)(60, 471)(61, 468)(62, 470)(63, 469)(64, 472)(65, 489)(66, 490)(67, 473)(68, 475)(69, 476)(70, 474)(71, 483)(72, 484)(73, 525)(74, 537)(75, 524)(76, 523)(77, 521)(78, 540)(79, 542)(80, 541)(81, 538)(82, 539)(83, 545)(84, 548)(85, 546)(86, 547)(87, 549)(88, 550)(89, 509)(90, 553)(91, 508)(92, 507)(93, 505)(94, 556)(95, 558)(96, 557)(97, 554)(98, 555)(99, 561)(100, 564)(101, 562)(102, 563)(103, 565)(104, 566)(105, 506)(106, 513)(107, 514)(108, 510)(109, 512)(110, 511)(111, 567)(112, 568)(113, 515)(114, 517)(115, 518)(116, 516)(117, 519)(118, 520)(119, 559)(120, 560)(121, 522)(122, 529)(123, 530)(124, 526)(125, 528)(126, 527)(127, 551)(128, 552)(129, 531)(130, 533)(131, 534)(132, 532)(133, 535)(134, 536)(135, 543)(136, 544)(137, 587)(138, 597)(139, 588)(140, 598)(141, 583)(142, 585)(143, 601)(144, 604)(145, 602)(146, 603)(147, 605)(148, 606)(149, 607)(150, 608)(151, 573)(152, 611)(153, 574)(154, 612)(155, 569)(156, 571)(157, 615)(158, 618)(159, 616)(160, 617)(161, 619)(162, 620)(163, 621)(164, 622)(165, 570)(166, 572)(167, 623)(168, 624)(169, 575)(170, 577)(171, 578)(172, 576)(173, 579)(174, 580)(175, 581)(176, 582)(177, 613)(178, 614)(179, 584)(180, 586)(181, 609)(182, 610)(183, 589)(184, 591)(185, 592)(186, 590)(187, 593)(188, 594)(189, 595)(190, 596)(191, 599)(192, 600)(193, 639)(194, 647)(195, 640)(196, 636)(197, 638)(198, 645)(199, 646)(200, 644)(201, 643)(202, 641)(203, 642)(204, 628)(205, 648)(206, 629)(207, 625)(208, 627)(209, 634)(210, 635)(211, 633)(212, 632)(213, 630)(214, 631)(215, 626)(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, 108, 2, 108 ), ( 2, 108, 2, 108, 2, 108, 2, 108 ) }
Outer automorphisms :: reflexible
Dual of E26.1461
Graph:: bipartite
	v = 162 e = 432 f = 220
	degree seq :: [ 4^108, 8^54 ]

E26.1459 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 54})
Quotient :: dipole
Aut^+ = (C54 x C2) : C2 (small group id <216, 8>)
Aut   = $<432, 47>$ (small group id <432, 47>)
|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, Y2^54 ]
Map::
	R = (1, 217, 2, 218, 6, 222, 4, 220)(3, 219, 9, 225, 13, 229, 8, 224)(5, 221, 11, 227, 14, 230, 7, 223)(10, 226, 16, 232, 21, 237, 17, 233)(12, 228, 15, 231, 22, 238, 19, 235)(18, 234, 25, 241, 29, 245, 24, 240)(20, 236, 27, 243, 30, 246, 23, 239)(26, 242, 32, 248, 37, 253, 33, 249)(28, 244, 31, 247, 38, 254, 35, 251)(34, 250, 41, 257, 45, 261, 40, 256)(36, 252, 43, 259, 46, 262, 39, 255)(42, 258, 48, 264, 53, 269, 49, 265)(44, 260, 47, 263, 54, 270, 51, 267)(50, 266, 57, 273, 61, 277, 56, 272)(52, 268, 59, 275, 62, 278, 55, 271)(58, 274, 64, 280, 73, 289, 65, 281)(60, 276, 63, 279, 102, 318, 67, 283)(66, 282, 104, 320, 69, 285, 107, 323)(68, 284, 70, 286, 109, 325, 72, 288)(71, 287, 111, 327, 77, 293, 113, 329)(74, 290, 116, 332, 76, 292, 118, 334)(75, 291, 119, 335, 81, 297, 121, 337)(78, 294, 124, 340, 80, 296, 126, 342)(79, 295, 127, 343, 85, 301, 129, 345)(82, 298, 132, 348, 84, 300, 134, 350)(83, 299, 135, 351, 89, 305, 137, 353)(86, 302, 140, 356, 88, 304, 142, 358)(87, 303, 143, 359, 93, 309, 145, 361)(90, 306, 148, 364, 92, 308, 150, 366)(91, 307, 151, 367, 97, 313, 153, 369)(94, 310, 156, 372, 96, 312, 158, 374)(95, 311, 159, 375, 101, 317, 161, 377)(98, 314, 164, 380, 100, 316, 166, 382)(99, 315, 167, 383, 115, 331, 169, 385)(103, 319, 173, 389, 106, 322, 172, 388)(105, 321, 176, 392, 108, 324, 175, 391)(110, 326, 181, 397, 114, 330, 180, 396)(112, 328, 184, 400, 123, 339, 183, 399)(117, 333, 189, 405, 122, 338, 188, 404)(120, 336, 192, 408, 131, 347, 191, 407)(125, 341, 197, 413, 130, 346, 196, 412)(128, 344, 200, 416, 139, 355, 199, 415)(133, 349, 205, 421, 138, 354, 204, 420)(136, 352, 208, 424, 147, 363, 207, 423)(141, 357, 213, 429, 146, 362, 212, 428)(144, 360, 214, 430, 155, 371, 215, 431)(149, 365, 216, 432, 154, 370, 209, 425)(152, 368, 210, 426, 163, 379, 206, 422)(157, 373, 201, 417, 162, 378, 211, 427)(160, 376, 198, 414, 171, 387, 202, 418)(165, 381, 203, 419, 170, 386, 193, 409)(168, 384, 194, 410, 187, 403, 190, 406)(174, 390, 185, 401, 178, 394, 195, 411)(177, 393, 182, 398, 179, 395, 186, 402)(433, 649, 435, 651, 442, 658, 450, 666, 458, 674, 466, 682, 474, 690, 482, 698, 490, 706, 498, 714, 509, 725, 513, 729, 517, 733, 521, 737, 525, 741, 529, 745, 533, 749, 547, 763, 540, 756, 544, 760, 552, 768, 560, 776, 568, 784, 576, 792, 584, 800, 592, 808, 600, 816, 609, 825, 627, 843, 635, 851, 643, 859, 648, 864, 644, 860, 637, 853, 628, 844, 621, 837, 612, 828, 604, 820, 596, 812, 590, 806, 580, 796, 574, 790, 564, 780, 558, 774, 548, 764, 500, 716, 492, 708, 484, 700, 476, 692, 468, 684, 460, 676, 452, 668, 444, 660, 437, 653)(434, 650, 439, 655, 447, 663, 455, 671, 463, 679, 471, 687, 479, 695, 487, 703, 495, 711, 504, 720, 508, 724, 512, 728, 516, 732, 520, 736, 524, 740, 528, 744, 532, 748, 538, 754, 542, 758, 549, 765, 557, 773, 565, 781, 573, 789, 581, 797, 589, 805, 597, 813, 606, 822, 618, 834, 626, 842, 634, 850, 642, 858, 647, 863, 640, 856, 631, 847, 624, 840, 615, 831, 607, 823, 599, 815, 593, 809, 583, 799, 577, 793, 567, 783, 561, 777, 551, 767, 545, 761, 539, 755, 496, 712, 488, 704, 480, 696, 472, 688, 464, 680, 456, 672, 448, 664, 440, 656)(436, 652, 443, 659, 451, 667, 459, 675, 467, 683, 475, 691, 483, 699, 491, 707, 499, 715, 502, 718, 506, 722, 510, 726, 514, 730, 518, 734, 522, 738, 526, 742, 530, 746, 535, 751, 546, 762, 554, 770, 562, 778, 570, 786, 578, 794, 586, 802, 594, 810, 602, 818, 610, 826, 614, 830, 622, 838, 630, 846, 638, 854, 646, 862, 639, 855, 632, 848, 623, 839, 616, 832, 608, 824, 601, 817, 591, 807, 585, 801, 575, 791, 569, 785, 559, 775, 553, 769, 543, 759, 536, 752, 497, 713, 489, 705, 481, 697, 473, 689, 465, 681, 457, 673, 449, 665, 441, 657)(438, 654, 445, 661, 453, 669, 461, 677, 469, 685, 477, 693, 485, 701, 493, 709, 505, 721, 501, 717, 503, 719, 507, 723, 511, 727, 515, 731, 519, 735, 523, 739, 527, 743, 531, 747, 537, 753, 555, 771, 563, 779, 571, 787, 579, 795, 587, 803, 595, 811, 603, 819, 619, 835, 611, 827, 617, 833, 625, 841, 633, 849, 641, 857, 645, 861, 636, 852, 629, 845, 620, 836, 613, 829, 605, 821, 598, 814, 588, 804, 582, 798, 572, 788, 566, 782, 556, 772, 550, 766, 541, 757, 534, 750, 494, 710, 486, 702, 478, 694, 470, 686, 462, 678, 454, 670, 446, 662)
	L = (1, 435)(2, 439)(3, 442)(4, 443)(5, 433)(6, 445)(7, 447)(8, 434)(9, 436)(10, 450)(11, 451)(12, 437)(13, 453)(14, 438)(15, 455)(16, 440)(17, 441)(18, 458)(19, 459)(20, 444)(21, 461)(22, 446)(23, 463)(24, 448)(25, 449)(26, 466)(27, 467)(28, 452)(29, 469)(30, 454)(31, 471)(32, 456)(33, 457)(34, 474)(35, 475)(36, 460)(37, 477)(38, 462)(39, 479)(40, 464)(41, 465)(42, 482)(43, 483)(44, 468)(45, 485)(46, 470)(47, 487)(48, 472)(49, 473)(50, 490)(51, 491)(52, 476)(53, 493)(54, 478)(55, 495)(56, 480)(57, 481)(58, 498)(59, 499)(60, 484)(61, 505)(62, 486)(63, 504)(64, 488)(65, 489)(66, 509)(67, 502)(68, 492)(69, 503)(70, 506)(71, 507)(72, 508)(73, 501)(74, 510)(75, 511)(76, 512)(77, 513)(78, 514)(79, 515)(80, 516)(81, 517)(82, 518)(83, 519)(84, 520)(85, 521)(86, 522)(87, 523)(88, 524)(89, 525)(90, 526)(91, 527)(92, 528)(93, 529)(94, 530)(95, 531)(96, 532)(97, 533)(98, 535)(99, 537)(100, 538)(101, 547)(102, 494)(103, 546)(104, 497)(105, 555)(106, 542)(107, 496)(108, 544)(109, 534)(110, 549)(111, 536)(112, 552)(113, 539)(114, 554)(115, 540)(116, 500)(117, 557)(118, 541)(119, 545)(120, 560)(121, 543)(122, 562)(123, 563)(124, 550)(125, 565)(126, 548)(127, 553)(128, 568)(129, 551)(130, 570)(131, 571)(132, 558)(133, 573)(134, 556)(135, 561)(136, 576)(137, 559)(138, 578)(139, 579)(140, 566)(141, 581)(142, 564)(143, 569)(144, 584)(145, 567)(146, 586)(147, 587)(148, 574)(149, 589)(150, 572)(151, 577)(152, 592)(153, 575)(154, 594)(155, 595)(156, 582)(157, 597)(158, 580)(159, 585)(160, 600)(161, 583)(162, 602)(163, 603)(164, 590)(165, 606)(166, 588)(167, 593)(168, 609)(169, 591)(170, 610)(171, 619)(172, 596)(173, 598)(174, 618)(175, 599)(176, 601)(177, 627)(178, 614)(179, 617)(180, 604)(181, 605)(182, 622)(183, 607)(184, 608)(185, 625)(186, 626)(187, 611)(188, 613)(189, 612)(190, 630)(191, 616)(192, 615)(193, 633)(194, 634)(195, 635)(196, 621)(197, 620)(198, 638)(199, 624)(200, 623)(201, 641)(202, 642)(203, 643)(204, 629)(205, 628)(206, 646)(207, 632)(208, 631)(209, 645)(210, 647)(211, 648)(212, 637)(213, 636)(214, 639)(215, 640)(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, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E26.1460
Graph:: bipartite
	v = 58 e = 432 f = 324
	degree seq :: [ 8^54, 108^4 ]

E26.1460 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 54})
Quotient :: dipole
Aut^+ = (C54 x C2) : C2 (small group id <216, 8>)
Aut   = $<432, 47>$ (small group id <432, 47>)
|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)^54 ]
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, 446, 662)(442, 658, 444, 660)(447, 663, 452, 668)(448, 664, 455, 671)(449, 665, 457, 673)(450, 666, 453, 669)(451, 667, 459, 675)(454, 670, 461, 677)(456, 672, 463, 679)(458, 674, 464, 680)(460, 676, 462, 678)(465, 681, 471, 687)(466, 682, 473, 689)(467, 683, 469, 685)(468, 684, 475, 691)(470, 686, 477, 693)(472, 688, 479, 695)(474, 690, 480, 696)(476, 692, 478, 694)(481, 697, 487, 703)(482, 698, 489, 705)(483, 699, 485, 701)(484, 700, 491, 707)(486, 702, 493, 709)(488, 704, 495, 711)(490, 706, 496, 712)(492, 708, 494, 710)(497, 713, 535, 751)(498, 714, 501, 717)(499, 715, 505, 721)(500, 716, 539, 755)(502, 718, 533, 749)(503, 719, 537, 753)(504, 720, 541, 757)(506, 722, 542, 758)(507, 723, 543, 759)(508, 724, 544, 760)(509, 725, 545, 761)(510, 726, 546, 762)(511, 727, 547, 763)(512, 728, 548, 764)(513, 729, 549, 765)(514, 730, 550, 766)(515, 731, 551, 767)(516, 732, 552, 768)(517, 733, 553, 769)(518, 734, 554, 770)(519, 735, 555, 771)(520, 736, 556, 772)(521, 737, 557, 773)(522, 738, 558, 774)(523, 739, 559, 775)(524, 740, 560, 776)(525, 741, 561, 777)(526, 742, 562, 778)(527, 743, 563, 779)(528, 744, 565, 781)(529, 745, 566, 782)(530, 746, 567, 783)(531, 747, 568, 784)(532, 748, 570, 786)(534, 750, 573, 789)(536, 752, 574, 790)(538, 754, 577, 793)(540, 756, 578, 794)(564, 780, 603, 819)(569, 785, 608, 824)(571, 787, 609, 825)(572, 788, 610, 826)(575, 791, 613, 829)(576, 792, 614, 830)(579, 795, 617, 833)(580, 796, 618, 834)(581, 797, 619, 835)(582, 798, 620, 836)(583, 799, 621, 837)(584, 800, 622, 838)(585, 801, 623, 839)(586, 802, 624, 840)(587, 803, 625, 841)(588, 804, 626, 842)(589, 805, 627, 843)(590, 806, 628, 844)(591, 807, 629, 845)(592, 808, 630, 846)(593, 809, 631, 847)(594, 810, 632, 848)(595, 811, 633, 849)(596, 812, 634, 850)(597, 813, 635, 851)(598, 814, 636, 852)(599, 815, 637, 853)(600, 816, 638, 854)(601, 817, 639, 855)(602, 818, 640, 856)(604, 820, 641, 857)(605, 821, 642, 858)(606, 822, 643, 859)(607, 823, 644, 860)(611, 827, 647, 863)(612, 828, 648, 864)(615, 831, 646, 862)(616, 832, 645, 861)
	L = (1, 435)(2, 437)(3, 440)(4, 433)(5, 444)(6, 434)(7, 447)(8, 449)(9, 450)(10, 436)(11, 452)(12, 454)(13, 455)(14, 438)(15, 441)(16, 439)(17, 458)(18, 459)(19, 442)(20, 445)(21, 443)(22, 462)(23, 463)(24, 446)(25, 448)(26, 466)(27, 467)(28, 451)(29, 453)(30, 470)(31, 471)(32, 456)(33, 457)(34, 474)(35, 475)(36, 460)(37, 461)(38, 478)(39, 479)(40, 464)(41, 465)(42, 482)(43, 483)(44, 468)(45, 469)(46, 486)(47, 487)(48, 472)(49, 473)(50, 490)(51, 491)(52, 476)(53, 477)(54, 494)(55, 495)(56, 480)(57, 481)(58, 498)(59, 499)(60, 484)(61, 485)(62, 533)(63, 535)(64, 488)(65, 489)(66, 537)(67, 539)(68, 492)(69, 497)(70, 505)(71, 512)(72, 500)(73, 493)(74, 509)(75, 502)(76, 507)(77, 501)(78, 514)(79, 504)(80, 496)(81, 511)(82, 503)(83, 518)(84, 508)(85, 516)(86, 506)(87, 522)(88, 513)(89, 520)(90, 510)(91, 526)(92, 517)(93, 524)(94, 515)(95, 530)(96, 521)(97, 528)(98, 519)(99, 536)(100, 525)(101, 541)(102, 532)(103, 548)(104, 523)(105, 542)(106, 564)(107, 543)(108, 529)(109, 544)(110, 546)(111, 547)(112, 549)(113, 550)(114, 551)(115, 552)(116, 545)(117, 553)(118, 554)(119, 555)(120, 556)(121, 557)(122, 558)(123, 559)(124, 560)(125, 561)(126, 562)(127, 563)(128, 565)(129, 566)(130, 567)(131, 568)(132, 527)(133, 570)(134, 573)(135, 574)(136, 577)(137, 531)(138, 578)(139, 540)(140, 534)(141, 609)(142, 603)(143, 569)(144, 538)(145, 613)(146, 610)(147, 572)(148, 571)(149, 576)(150, 575)(151, 580)(152, 579)(153, 582)(154, 581)(155, 584)(156, 583)(157, 586)(158, 585)(159, 588)(160, 587)(161, 590)(162, 589)(163, 592)(164, 591)(165, 594)(166, 593)(167, 596)(168, 595)(169, 598)(170, 597)(171, 608)(172, 600)(173, 599)(174, 602)(175, 601)(176, 614)(177, 617)(178, 618)(179, 605)(180, 604)(181, 619)(182, 620)(183, 607)(184, 606)(185, 621)(186, 622)(187, 623)(188, 624)(189, 625)(190, 626)(191, 627)(192, 628)(193, 629)(194, 630)(195, 631)(196, 632)(197, 633)(198, 634)(199, 635)(200, 636)(201, 637)(202, 638)(203, 639)(204, 640)(205, 641)(206, 642)(207, 643)(208, 644)(209, 647)(210, 648)(211, 646)(212, 645)(213, 612)(214, 611)(215, 616)(216, 615)(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, 108 ), ( 8, 108, 8, 108 ) }
Outer automorphisms :: reflexible
Dual of E26.1459
Graph:: simple bipartite
	v = 324 e = 432 f = 58
	degree seq :: [ 2^216, 4^108 ]

E26.1461 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 54})
Quotient :: dipole
Aut^+ = (C54 x C2) : C2 (small group id <216, 8>)
Aut   = $<432, 47>$ (small group id <432, 47>)
|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, Y1^54 ]
Map:: polytopal
	R = (1, 217, 2, 218, 5, 221, 11, 227, 20, 236, 29, 245, 37, 253, 45, 261, 53, 269, 61, 277, 78, 294, 82, 298, 86, 302, 90, 306, 94, 310, 99, 315, 103, 319, 105, 321, 107, 323, 112, 328, 118, 334, 126, 342, 134, 350, 142, 358, 150, 366, 158, 374, 184, 400, 192, 408, 200, 416, 208, 424, 214, 430, 215, 431, 209, 425, 203, 419, 193, 409, 187, 403, 177, 393, 173, 389, 163, 379, 153, 369, 147, 363, 137, 353, 131, 347, 121, 337, 115, 331, 68, 284, 60, 276, 52, 268, 44, 260, 36, 252, 28, 244, 19, 235, 10, 226, 4, 220)(3, 219, 7, 223, 15, 231, 25, 241, 33, 249, 41, 257, 49, 265, 57, 273, 65, 281, 73, 289, 76, 292, 80, 296, 84, 300, 88, 304, 92, 308, 96, 312, 102, 318, 108, 324, 114, 330, 122, 338, 130, 346, 138, 354, 146, 362, 154, 370, 162, 378, 174, 390, 180, 396, 188, 404, 196, 412, 204, 420, 212, 428, 216, 432, 197, 413, 207, 423, 181, 397, 191, 407, 169, 385, 157, 373, 165, 381, 141, 357, 151, 367, 125, 341, 135, 351, 111, 327, 119, 335, 104, 320, 62, 278, 55, 271, 46, 262, 39, 255, 30, 246, 22, 238, 12, 228, 8, 224)(6, 222, 13, 229, 9, 225, 18, 234, 27, 243, 35, 251, 43, 259, 51, 267, 59, 275, 67, 283, 72, 288, 75, 291, 79, 295, 83, 299, 87, 303, 91, 307, 95, 311, 100, 316, 110, 326, 116, 332, 124, 340, 132, 348, 140, 356, 148, 364, 156, 372, 164, 380, 172, 388, 178, 394, 186, 402, 194, 410, 202, 418, 210, 426, 205, 421, 213, 429, 189, 405, 199, 415, 175, 391, 183, 399, 167, 383, 149, 365, 159, 375, 133, 349, 143, 359, 117, 333, 127, 343, 106, 322, 97, 313, 63, 279, 54, 270, 47, 263, 38, 254, 31, 247, 21, 237, 14, 230)(16, 232, 23, 239, 17, 233, 24, 240, 32, 248, 40, 256, 48, 264, 56, 272, 64, 280, 69, 285, 70, 286, 71, 287, 74, 290, 77, 293, 81, 297, 85, 301, 89, 305, 93, 309, 98, 314, 120, 336, 128, 344, 136, 352, 144, 360, 152, 368, 160, 376, 166, 382, 168, 384, 170, 386, 176, 392, 182, 398, 190, 406, 198, 414, 206, 422, 211, 427, 201, 417, 195, 411, 185, 401, 179, 395, 171, 387, 161, 377, 155, 371, 145, 361, 139, 355, 129, 345, 123, 339, 113, 329, 109, 325, 101, 317, 66, 282, 58, 274, 50, 266, 42, 258, 34, 250, 26, 242)(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, 447)(11, 453)(12, 437)(13, 455)(14, 456)(15, 442)(16, 439)(17, 440)(18, 458)(19, 459)(20, 462)(21, 443)(22, 464)(23, 445)(24, 446)(25, 466)(26, 450)(27, 451)(28, 465)(29, 470)(30, 452)(31, 472)(32, 454)(33, 460)(34, 457)(35, 474)(36, 475)(37, 478)(38, 461)(39, 480)(40, 463)(41, 482)(42, 467)(43, 468)(44, 481)(45, 486)(46, 469)(47, 488)(48, 471)(49, 476)(50, 473)(51, 490)(52, 491)(53, 494)(54, 477)(55, 496)(56, 479)(57, 498)(58, 483)(59, 484)(60, 497)(61, 529)(62, 485)(63, 501)(64, 487)(65, 492)(66, 489)(67, 533)(68, 504)(69, 495)(70, 536)(71, 538)(72, 500)(73, 541)(74, 543)(75, 545)(76, 547)(77, 549)(78, 551)(79, 553)(80, 555)(81, 557)(82, 559)(83, 561)(84, 563)(85, 565)(86, 567)(87, 569)(88, 571)(89, 573)(90, 575)(91, 577)(92, 579)(93, 581)(94, 583)(95, 585)(96, 587)(97, 493)(98, 589)(99, 591)(100, 593)(101, 499)(102, 595)(103, 597)(104, 502)(105, 599)(106, 503)(107, 601)(108, 603)(109, 505)(110, 605)(111, 506)(112, 607)(113, 507)(114, 609)(115, 508)(116, 611)(117, 509)(118, 613)(119, 510)(120, 615)(121, 511)(122, 617)(123, 512)(124, 619)(125, 513)(126, 621)(127, 514)(128, 623)(129, 515)(130, 625)(131, 516)(132, 627)(133, 517)(134, 629)(135, 518)(136, 631)(137, 519)(138, 633)(139, 520)(140, 635)(141, 521)(142, 637)(143, 522)(144, 639)(145, 523)(146, 641)(147, 524)(148, 643)(149, 525)(150, 644)(151, 526)(152, 645)(153, 527)(154, 638)(155, 528)(156, 647)(157, 530)(158, 634)(159, 531)(160, 648)(161, 532)(162, 646)(163, 534)(164, 630)(165, 535)(166, 642)(167, 537)(168, 636)(169, 539)(170, 626)(171, 540)(172, 640)(173, 542)(174, 622)(175, 544)(176, 620)(177, 546)(178, 614)(179, 548)(180, 632)(181, 550)(182, 610)(183, 552)(184, 628)(185, 554)(186, 624)(187, 556)(188, 608)(189, 558)(190, 606)(191, 560)(192, 618)(193, 562)(194, 602)(195, 564)(196, 616)(197, 566)(198, 596)(199, 568)(200, 612)(201, 570)(202, 590)(203, 572)(204, 600)(205, 574)(206, 586)(207, 576)(208, 604)(209, 578)(210, 598)(211, 580)(212, 582)(213, 584)(214, 594)(215, 588)(216, 592)(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, 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 E26.1458
Graph:: simple bipartite
	v = 220 e = 432 f = 162
	degree seq :: [ 2^216, 108^4 ]

E26.1462 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 54})
Quotient :: dipole
Aut^+ = (C54 x C2) : C2 (small group id <216, 8>)
Aut   = $<432, 47>$ (small group id <432, 47>)
|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, Y2^54 ]
Map::
	R = (1, 217, 2, 218)(3, 219, 7, 223)(4, 220, 9, 225)(5, 221, 11, 227)(6, 222, 13, 229)(8, 224, 14, 230)(10, 226, 12, 228)(15, 231, 20, 236)(16, 232, 23, 239)(17, 233, 25, 241)(18, 234, 21, 237)(19, 235, 27, 243)(22, 238, 29, 245)(24, 240, 31, 247)(26, 242, 32, 248)(28, 244, 30, 246)(33, 249, 39, 255)(34, 250, 41, 257)(35, 251, 37, 253)(36, 252, 43, 259)(38, 254, 45, 261)(40, 256, 47, 263)(42, 258, 48, 264)(44, 260, 46, 262)(49, 265, 55, 271)(50, 266, 57, 273)(51, 267, 53, 269)(52, 268, 59, 275)(54, 270, 61, 277)(56, 272, 63, 279)(58, 274, 64, 280)(60, 276, 62, 278)(65, 281, 78, 294)(66, 282, 107, 323)(67, 283, 109, 325)(68, 284, 74, 290)(69, 285, 111, 327)(70, 286, 113, 329)(71, 287, 115, 331)(72, 288, 117, 333)(73, 289, 119, 335)(75, 291, 122, 338)(76, 292, 124, 340)(77, 293, 126, 342)(79, 295, 129, 345)(80, 296, 131, 347)(81, 297, 133, 349)(82, 298, 135, 351)(83, 299, 137, 353)(84, 300, 139, 355)(85, 301, 141, 357)(86, 302, 143, 359)(87, 303, 145, 361)(88, 304, 147, 363)(89, 305, 149, 365)(90, 306, 151, 367)(91, 307, 153, 369)(92, 308, 155, 371)(93, 309, 157, 373)(94, 310, 159, 375)(95, 311, 161, 377)(96, 312, 163, 379)(97, 313, 165, 381)(98, 314, 167, 383)(99, 315, 169, 385)(100, 316, 171, 387)(101, 317, 173, 389)(102, 318, 175, 391)(103, 319, 177, 393)(104, 320, 179, 395)(105, 321, 181, 397)(106, 322, 183, 399)(108, 324, 185, 401)(110, 326, 187, 403)(112, 328, 189, 405)(114, 330, 191, 407)(116, 332, 193, 409)(118, 334, 195, 411)(120, 336, 197, 413)(121, 337, 199, 415)(123, 339, 201, 417)(125, 341, 203, 419)(127, 343, 205, 421)(128, 344, 207, 423)(130, 346, 209, 425)(132, 348, 211, 427)(134, 350, 213, 429)(136, 352, 198, 414)(138, 354, 204, 420)(140, 356, 215, 431)(142, 358, 194, 410)(144, 360, 210, 426)(146, 362, 214, 430)(148, 364, 212, 428)(150, 366, 216, 432)(152, 368, 206, 422)(154, 370, 200, 416)(156, 372, 190, 406)(158, 374, 196, 412)(160, 376, 192, 408)(162, 378, 182, 398)(164, 380, 186, 402)(166, 382, 178, 394)(168, 384, 202, 418)(170, 386, 180, 396)(172, 388, 208, 424)(174, 390, 184, 400)(176, 392, 188, 404)(433, 649, 435, 651, 440, 656, 449, 665, 458, 674, 466, 682, 474, 690, 482, 698, 490, 706, 498, 714, 516, 732, 512, 728, 518, 734, 522, 738, 526, 742, 530, 746, 534, 750, 538, 754, 560, 776, 550, 766, 544, 760, 548, 764, 557, 773, 568, 784, 578, 794, 586, 802, 594, 810, 602, 818, 610, 826, 618, 834, 648, 864, 644, 860, 641, 857, 637, 853, 623, 839, 633, 849, 619, 835, 605, 821, 603, 819, 589, 805, 587, 803, 573, 789, 569, 785, 551, 767, 565, 781, 500, 716, 492, 708, 484, 700, 476, 692, 468, 684, 460, 676, 451, 667, 442, 658, 436, 652)(434, 650, 437, 653, 444, 660, 454, 670, 462, 678, 470, 686, 478, 694, 486, 702, 494, 710, 507, 723, 513, 729, 509, 725, 515, 731, 520, 736, 524, 740, 528, 744, 532, 748, 536, 752, 542, 758, 553, 769, 546, 762, 552, 768, 562, 778, 574, 790, 582, 798, 590, 806, 598, 814, 606, 822, 614, 830, 634, 850, 646, 862, 638, 854, 635, 851, 643, 859, 621, 837, 617, 833, 639, 855, 601, 817, 607, 823, 585, 801, 591, 807, 567, 783, 575, 791, 547, 763, 571, 787, 549, 765, 496, 712, 488, 704, 480, 696, 472, 688, 464, 680, 456, 672, 446, 662, 438, 654)(439, 655, 447, 663, 441, 657, 450, 666, 459, 675, 467, 683, 475, 691, 483, 699, 491, 707, 499, 715, 506, 722, 502, 718, 505, 721, 511, 727, 517, 733, 521, 737, 525, 741, 529, 745, 533, 749, 537, 753, 555, 771, 566, 782, 559, 775, 570, 786, 580, 796, 588, 804, 596, 812, 604, 820, 612, 828, 620, 836, 632, 848, 624, 840, 630, 846, 642, 858, 625, 841, 647, 863, 627, 843, 609, 825, 615, 831, 593, 809, 599, 815, 577, 793, 583, 799, 556, 772, 563, 779, 543, 759, 539, 755, 497, 713, 489, 705, 481, 697, 473, 689, 465, 681, 457, 673, 448, 664)(443, 659, 452, 668, 445, 661, 455, 671, 463, 679, 471, 687, 479, 695, 487, 703, 495, 711, 510, 726, 504, 720, 501, 717, 503, 719, 508, 724, 514, 730, 519, 735, 523, 739, 527, 743, 531, 747, 535, 751, 540, 756, 572, 788, 564, 780, 576, 792, 584, 800, 592, 808, 600, 816, 608, 824, 616, 832, 640, 856, 628, 844, 622, 838, 626, 842, 636, 852, 629, 845, 645, 861, 631, 847, 613, 829, 611, 827, 597, 813, 595, 811, 581, 797, 579, 795, 561, 777, 558, 774, 545, 761, 554, 770, 541, 757, 493, 709, 485, 701, 477, 693, 469, 685, 461, 677, 453, 669)
	L = (1, 434)(2, 433)(3, 439)(4, 441)(5, 443)(6, 445)(7, 435)(8, 446)(9, 436)(10, 444)(11, 437)(12, 442)(13, 438)(14, 440)(15, 452)(16, 455)(17, 457)(18, 453)(19, 459)(20, 447)(21, 450)(22, 461)(23, 448)(24, 463)(25, 449)(26, 464)(27, 451)(28, 462)(29, 454)(30, 460)(31, 456)(32, 458)(33, 471)(34, 473)(35, 469)(36, 475)(37, 467)(38, 477)(39, 465)(40, 479)(41, 466)(42, 480)(43, 468)(44, 478)(45, 470)(46, 476)(47, 472)(48, 474)(49, 487)(50, 489)(51, 485)(52, 491)(53, 483)(54, 493)(55, 481)(56, 495)(57, 482)(58, 496)(59, 484)(60, 494)(61, 486)(62, 492)(63, 488)(64, 490)(65, 510)(66, 539)(67, 541)(68, 506)(69, 543)(70, 545)(71, 547)(72, 549)(73, 551)(74, 500)(75, 554)(76, 556)(77, 558)(78, 497)(79, 561)(80, 563)(81, 565)(82, 567)(83, 569)(84, 571)(85, 573)(86, 575)(87, 577)(88, 579)(89, 581)(90, 583)(91, 585)(92, 587)(93, 589)(94, 591)(95, 593)(96, 595)(97, 597)(98, 599)(99, 601)(100, 603)(101, 605)(102, 607)(103, 609)(104, 611)(105, 613)(106, 615)(107, 498)(108, 617)(109, 499)(110, 619)(111, 501)(112, 621)(113, 502)(114, 623)(115, 503)(116, 625)(117, 504)(118, 627)(119, 505)(120, 629)(121, 631)(122, 507)(123, 633)(124, 508)(125, 635)(126, 509)(127, 637)(128, 639)(129, 511)(130, 641)(131, 512)(132, 643)(133, 513)(134, 645)(135, 514)(136, 630)(137, 515)(138, 636)(139, 516)(140, 647)(141, 517)(142, 626)(143, 518)(144, 642)(145, 519)(146, 646)(147, 520)(148, 644)(149, 521)(150, 648)(151, 522)(152, 638)(153, 523)(154, 632)(155, 524)(156, 622)(157, 525)(158, 628)(159, 526)(160, 624)(161, 527)(162, 614)(163, 528)(164, 618)(165, 529)(166, 610)(167, 530)(168, 634)(169, 531)(170, 612)(171, 532)(172, 640)(173, 533)(174, 616)(175, 534)(176, 620)(177, 535)(178, 598)(179, 536)(180, 602)(181, 537)(182, 594)(183, 538)(184, 606)(185, 540)(186, 596)(187, 542)(188, 608)(189, 544)(190, 588)(191, 546)(192, 592)(193, 548)(194, 574)(195, 550)(196, 590)(197, 552)(198, 568)(199, 553)(200, 586)(201, 555)(202, 600)(203, 557)(204, 570)(205, 559)(206, 584)(207, 560)(208, 604)(209, 562)(210, 576)(211, 564)(212, 580)(213, 566)(214, 578)(215, 572)(216, 582)(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, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E26.1463
Graph:: bipartite
	v = 112 e = 432 f = 270
	degree seq :: [ 4^108, 108^4 ]

E26.1463 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 54})
Quotient :: dipole
Aut^+ = (C54 x C2) : C2 (small group id <216, 8>)
Aut   = $<432, 47>$ (small group id <432, 47>)
|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)^54 ]
Map:: polytopal
	R = (1, 217, 2, 218, 6, 222, 4, 220)(3, 219, 9, 225, 13, 229, 8, 224)(5, 221, 11, 227, 14, 230, 7, 223)(10, 226, 16, 232, 21, 237, 17, 233)(12, 228, 15, 231, 22, 238, 19, 235)(18, 234, 25, 241, 29, 245, 24, 240)(20, 236, 27, 243, 30, 246, 23, 239)(26, 242, 32, 248, 37, 253, 33, 249)(28, 244, 31, 247, 38, 254, 35, 251)(34, 250, 41, 257, 45, 261, 40, 256)(36, 252, 43, 259, 46, 262, 39, 255)(42, 258, 48, 264, 53, 269, 49, 265)(44, 260, 47, 263, 54, 270, 51, 267)(50, 266, 57, 273, 61, 277, 56, 272)(52, 268, 59, 275, 62, 278, 55, 271)(58, 274, 64, 280, 101, 317, 65, 281)(60, 276, 63, 279, 114, 330, 67, 283)(66, 282, 116, 332, 96, 312, 173, 389)(68, 284, 92, 308, 166, 382, 91, 307)(69, 285, 119, 335, 74, 290, 121, 337)(70, 286, 122, 338, 72, 288, 124, 340)(71, 287, 125, 341, 81, 297, 127, 343)(73, 289, 129, 345, 82, 298, 131, 347)(75, 291, 133, 349, 79, 295, 135, 351)(76, 292, 136, 352, 77, 293, 138, 354)(78, 294, 140, 356, 88, 304, 142, 358)(80, 296, 144, 360, 89, 305, 146, 362)(83, 299, 149, 365, 87, 303, 151, 367)(84, 300, 152, 368, 85, 301, 154, 370)(86, 302, 156, 372, 95, 311, 158, 374)(90, 306, 162, 378, 94, 310, 164, 380)(93, 309, 168, 384, 100, 316, 170, 386)(97, 313, 175, 391, 99, 315, 177, 393)(98, 314, 178, 394, 105, 321, 180, 396)(102, 318, 184, 400, 104, 320, 186, 402)(103, 319, 187, 403, 109, 325, 189, 405)(106, 322, 192, 408, 108, 324, 194, 410)(107, 323, 195, 411, 113, 329, 197, 413)(110, 326, 200, 416, 112, 328, 202, 418)(111, 327, 203, 419, 183, 399, 205, 421)(115, 331, 208, 424, 118, 334, 210, 426)(117, 333, 211, 427, 174, 390, 213, 429)(120, 336, 193, 409, 132, 348, 198, 414)(123, 339, 199, 415, 128, 344, 188, 404)(126, 342, 190, 406, 147, 363, 185, 401)(130, 346, 206, 422, 148, 364, 201, 417)(134, 350, 179, 395, 143, 359, 191, 407)(137, 353, 196, 412, 139, 355, 207, 423)(141, 357, 176, 392, 160, 376, 181, 397)(145, 361, 209, 425, 161, 377, 214, 430)(150, 366, 182, 398, 159, 375, 169, 385)(153, 369, 215, 431, 155, 371, 204, 420)(157, 373, 171, 387, 172, 388, 163, 379)(165, 381, 212, 428, 167, 383, 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, 443)(5, 433)(6, 445)(7, 447)(8, 434)(9, 436)(10, 450)(11, 451)(12, 437)(13, 453)(14, 438)(15, 455)(16, 440)(17, 441)(18, 458)(19, 459)(20, 444)(21, 461)(22, 446)(23, 463)(24, 448)(25, 449)(26, 466)(27, 467)(28, 452)(29, 469)(30, 454)(31, 471)(32, 456)(33, 457)(34, 474)(35, 475)(36, 460)(37, 477)(38, 462)(39, 479)(40, 464)(41, 465)(42, 482)(43, 483)(44, 468)(45, 485)(46, 470)(47, 487)(48, 472)(49, 473)(50, 490)(51, 491)(52, 476)(53, 493)(54, 478)(55, 495)(56, 480)(57, 481)(58, 498)(59, 499)(60, 484)(61, 533)(62, 486)(63, 523)(64, 488)(65, 489)(66, 512)(67, 524)(68, 492)(69, 503)(70, 507)(71, 510)(72, 511)(73, 501)(74, 513)(75, 515)(76, 502)(77, 504)(78, 518)(79, 519)(80, 505)(81, 520)(82, 506)(83, 522)(84, 508)(85, 509)(86, 525)(87, 526)(88, 527)(89, 514)(90, 529)(91, 516)(92, 517)(93, 530)(94, 531)(95, 532)(96, 521)(97, 534)(98, 535)(99, 536)(100, 537)(101, 528)(102, 538)(103, 539)(104, 540)(105, 541)(106, 542)(107, 543)(108, 544)(109, 545)(110, 547)(111, 549)(112, 550)(113, 615)(114, 494)(115, 597)(116, 497)(117, 577)(118, 599)(119, 563)(120, 558)(121, 561)(122, 570)(123, 566)(124, 568)(125, 553)(126, 573)(127, 551)(128, 575)(129, 578)(130, 552)(131, 576)(132, 579)(133, 556)(134, 582)(135, 554)(136, 586)(137, 555)(138, 584)(139, 560)(140, 559)(141, 589)(142, 557)(143, 591)(144, 605)(145, 562)(146, 548)(147, 592)(148, 564)(149, 567)(150, 595)(151, 565)(152, 598)(153, 569)(154, 500)(155, 571)(156, 574)(157, 601)(158, 572)(159, 603)(160, 604)(161, 580)(162, 583)(163, 608)(164, 581)(165, 585)(166, 546)(167, 587)(168, 590)(169, 611)(170, 588)(171, 613)(172, 614)(173, 496)(174, 593)(175, 596)(176, 617)(177, 594)(178, 602)(179, 620)(180, 600)(181, 622)(182, 623)(183, 606)(184, 609)(185, 625)(186, 607)(187, 612)(188, 628)(189, 610)(190, 630)(191, 631)(192, 618)(193, 633)(194, 616)(195, 621)(196, 636)(197, 619)(198, 638)(199, 639)(200, 626)(201, 641)(202, 624)(203, 629)(204, 644)(205, 627)(206, 646)(207, 647)(208, 634)(209, 645)(210, 632)(211, 637)(212, 642)(213, 635)(214, 643)(215, 648)(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, 108 ), ( 4, 108, 4, 108, 4, 108, 4, 108 ) }
Outer automorphisms :: reflexible
Dual of E26.1462
Graph:: simple bipartite
	v = 270 e = 432 f = 112
	degree seq :: [ 2^216, 8^54 ]

E26.1464 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 5, 10})
Quotient :: regular
Aut^+ = ((C5 x C5) : C5) : C2 (small group id <250, 5>)
Aut   = $<500, 27>$ (small group id <500, 27>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^5, T1^10, T1^-1 * T2 * T1^3 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1, T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2, T1^-1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-5 * T2 * T1^-1, T2 * T1^-1 * T2 * T1 * T2 * T1^-5 * T2 * T1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 47, 46, 22, 10, 4)(3, 7, 15, 31, 63, 121, 77, 38, 18, 8)(6, 13, 27, 55, 107, 182, 120, 62, 30, 14)(9, 19, 39, 78, 143, 187, 151, 84, 42, 20)(12, 25, 51, 99, 173, 135, 181, 106, 54, 26)(16, 33, 67, 125, 189, 112, 188, 130, 70, 34)(17, 35, 71, 131, 206, 148, 163, 136, 73, 36)(21, 43, 85, 132, 204, 126, 203, 154, 88, 44)(24, 49, 95, 166, 219, 194, 222, 172, 98, 50)(28, 57, 111, 186, 156, 177, 224, 190, 113, 58)(29, 59, 114, 191, 134, 72, 133, 195, 116, 60)(32, 65, 100, 175, 149, 83, 118, 61, 117, 66)(37, 74, 105, 79, 110, 56, 109, 167, 139, 75)(40, 80, 144, 205, 129, 69, 128, 197, 119, 81)(41, 82, 147, 210, 220, 169, 96, 168, 127, 68)(45, 89, 137, 208, 236, 213, 233, 207, 157, 90)(48, 93, 162, 216, 240, 226, 241, 218, 165, 94)(52, 101, 176, 145, 87, 153, 215, 225, 178, 102)(53, 103, 64, 123, 193, 115, 192, 227, 180, 104)(76, 140, 86, 152, 214, 217, 164, 146, 174, 141)(91, 158, 196, 231, 246, 239, 245, 230, 185, 159)(92, 160, 138, 209, 237, 242, 235, 201, 124, 161)(97, 170, 108, 184, 150, 179, 155, 202, 221, 171)(122, 199, 223, 198, 232, 243, 250, 247, 234, 200)(142, 211, 228, 244, 249, 248, 238, 212, 229, 183)
	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, 57)(38, 76)(39, 79)(42, 83)(43, 86)(44, 87)(46, 91)(47, 92)(49, 96)(50, 97)(51, 100)(54, 105)(55, 108)(58, 112)(59, 115)(60, 101)(62, 119)(63, 122)(65, 124)(66, 98)(67, 126)(70, 106)(71, 132)(73, 135)(74, 137)(75, 138)(77, 142)(78, 114)(80, 145)(81, 146)(82, 148)(84, 150)(85, 117)(88, 139)(89, 155)(90, 156)(93, 163)(94, 164)(95, 167)(99, 174)(102, 177)(103, 179)(104, 168)(107, 183)(109, 185)(110, 165)(111, 187)(113, 172)(116, 194)(118, 196)(120, 198)(121, 176)(123, 190)(125, 202)(127, 182)(128, 166)(129, 161)(130, 191)(131, 197)(133, 160)(134, 207)(136, 171)(140, 170)(141, 210)(143, 212)(144, 213)(147, 208)(149, 162)(151, 199)(152, 186)(153, 169)(154, 193)(157, 175)(158, 192)(159, 189)(173, 223)(178, 218)(180, 226)(181, 228)(184, 225)(188, 216)(195, 217)(200, 233)(201, 220)(203, 229)(204, 234)(205, 227)(206, 230)(209, 224)(211, 219)(214, 239)(215, 231)(221, 242)(222, 243)(232, 240)(235, 247)(236, 248)(237, 244)(238, 245)(241, 249)(246, 250)
	local type(s) :: { ( 5^10 ) }
Outer automorphisms :: reflexible
Dual of E26.1465
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 25 e = 125 f = 50
	degree seq :: [ 10^25 ]

E26.1465 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 5, 10})
Quotient :: regular
Aut^+ = ((C5 x C5) : C5) : C2 (small group id <250, 5>)
Aut   = $<500, 27>$ (small group id <500, 27>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^5, (T2 * T1 * T2 * T1 * T2 * T1^-2)^2, T2 * T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2, T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1, T1^2 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-2 * T2, T1^2 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^2 * T2 * T1^-2 * T2, T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 10, 4)(3, 7, 14, 17, 8)(6, 12, 23, 26, 13)(9, 18, 33, 36, 19)(11, 21, 39, 42, 22)(15, 28, 51, 54, 29)(16, 30, 55, 58, 31)(20, 37, 67, 70, 38)(24, 44, 79, 82, 45)(25, 46, 83, 86, 47)(27, 49, 89, 92, 50)(32, 59, 105, 108, 60)(34, 62, 111, 114, 63)(35, 64, 115, 118, 65)(40, 72, 129, 132, 73)(41, 74, 133, 136, 75)(43, 77, 139, 142, 78)(48, 87, 155, 158, 88)(52, 94, 165, 135, 95)(53, 96, 168, 171, 97)(56, 100, 131, 177, 101)(57, 102, 178, 181, 103)(61, 109, 189, 191, 110)(66, 119, 200, 202, 120)(68, 122, 205, 207, 123)(69, 124, 208, 210, 125)(71, 127, 169, 214, 128)(76, 137, 180, 220, 138)(80, 144, 184, 209, 145)(81, 146, 196, 116, 147)(84, 150, 206, 159, 151)(85, 152, 112, 192, 153)(90, 160, 231, 232, 161)(91, 162, 217, 225, 148)(93, 140, 221, 199, 164)(98, 172, 219, 149, 173)(99, 174, 195, 230, 156)(104, 182, 143, 213, 183)(106, 185, 239, 240, 186)(107, 154, 229, 215, 187)(113, 193, 188, 134, 194)(117, 197, 130, 163, 198)(121, 203, 223, 166, 204)(126, 211, 228, 176, 212)(141, 201, 242, 243, 216)(157, 218, 244, 241, 190)(167, 222, 237, 179, 227)(170, 224, 175, 226, 234)(233, 238, 246, 250, 247)(235, 245, 249, 248, 236)
	L = (1, 3)(2, 6)(4, 9)(5, 11)(7, 15)(8, 16)(10, 20)(12, 24)(13, 25)(14, 27)(17, 32)(18, 34)(19, 35)(21, 40)(22, 41)(23, 43)(26, 48)(28, 52)(29, 53)(30, 56)(31, 57)(33, 61)(36, 66)(37, 68)(38, 69)(39, 71)(42, 76)(44, 80)(45, 81)(46, 84)(47, 85)(49, 90)(50, 91)(51, 93)(54, 98)(55, 99)(58, 104)(59, 106)(60, 107)(62, 112)(63, 113)(64, 116)(65, 117)(67, 121)(70, 126)(72, 130)(73, 131)(74, 134)(75, 135)(77, 140)(78, 141)(79, 143)(82, 148)(83, 149)(86, 154)(87, 156)(88, 157)(89, 159)(92, 163)(94, 166)(95, 167)(96, 169)(97, 170)(100, 175)(101, 176)(102, 179)(103, 180)(105, 184)(108, 188)(109, 190)(110, 172)(111, 161)(114, 195)(115, 185)(118, 199)(119, 201)(120, 183)(122, 178)(123, 206)(124, 171)(125, 209)(127, 213)(128, 186)(129, 215)(132, 216)(133, 217)(136, 218)(137, 219)(138, 160)(139, 193)(142, 181)(144, 191)(145, 222)(146, 223)(147, 224)(150, 226)(151, 202)(152, 227)(153, 228)(155, 198)(158, 168)(162, 211)(164, 233)(165, 200)(173, 235)(174, 236)(177, 189)(182, 238)(187, 203)(192, 214)(194, 234)(196, 220)(197, 237)(204, 230)(205, 241)(207, 240)(208, 242)(210, 231)(212, 221)(225, 245)(229, 246)(232, 247)(239, 248)(243, 249)(244, 250)
	local type(s) :: { ( 10^5 ) }
Outer automorphisms :: reflexible
Dual of E26.1464
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 50 e = 125 f = 25
	degree seq :: [ 5^50 ]

E26.1466 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 5, 10})
Quotient :: edge
Aut^+ = ((C5 x C5) : C5) : C2 (small group id <250, 5>)
Aut   = $<500, 27>$ (small group id <500, 27>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^5, (T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1)^2, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1, T1 * T2^-1 * T1 * T2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2, T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^2, T1 * T2^2 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-2, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map:: polytopal
	R = (1, 3, 8, 10, 4)(2, 5, 12, 14, 6)(7, 15, 28, 30, 16)(9, 18, 34, 36, 19)(11, 21, 40, 42, 22)(13, 24, 46, 48, 25)(17, 31, 58, 60, 32)(20, 37, 68, 70, 38)(23, 43, 78, 80, 44)(26, 49, 88, 90, 50)(27, 51, 92, 94, 52)(29, 54, 98, 100, 55)(33, 61, 110, 112, 62)(35, 64, 116, 118, 65)(39, 71, 128, 130, 72)(41, 74, 134, 136, 75)(45, 81, 146, 148, 82)(47, 84, 152, 154, 85)(53, 95, 168, 170, 96)(56, 101, 176, 178, 102)(57, 103, 180, 181, 104)(59, 106, 185, 186, 107)(63, 113, 194, 195, 114)(66, 119, 201, 202, 120)(67, 121, 203, 205, 122)(69, 124, 208, 210, 125)(73, 131, 216, 199, 132)(76, 137, 221, 173, 138)(77, 139, 223, 224, 140)(79, 142, 225, 226, 143)(83, 149, 192, 230, 150)(86, 155, 165, 234, 156)(87, 157, 235, 236, 158)(89, 160, 237, 238, 161)(91, 163, 159, 209, 164)(93, 166, 196, 115, 167)(97, 171, 204, 141, 172)(99, 174, 109, 189, 175)(105, 182, 133, 218, 183)(108, 187, 153, 232, 188)(111, 190, 162, 184, 191)(117, 197, 179, 144, 198)(123, 206, 213, 127, 207)(126, 211, 228, 147, 212)(129, 214, 231, 151, 215)(135, 219, 145, 227, 220)(169, 200, 242, 247, 239)(177, 240, 248, 241, 193)(217, 233, 246, 249, 243)(222, 244, 250, 245, 229)(251, 252)(253, 257)(254, 259)(255, 261)(256, 263)(258, 267)(260, 270)(262, 273)(264, 276)(265, 277)(266, 279)(268, 283)(269, 285)(271, 289)(272, 291)(274, 295)(275, 297)(278, 303)(280, 306)(281, 307)(282, 309)(284, 313)(286, 316)(287, 317)(288, 319)(290, 323)(292, 326)(293, 327)(294, 329)(296, 333)(298, 336)(299, 337)(300, 339)(301, 341)(302, 343)(304, 347)(305, 349)(308, 355)(310, 358)(311, 359)(312, 361)(314, 365)(315, 367)(318, 373)(320, 376)(321, 377)(322, 379)(324, 383)(325, 385)(328, 391)(330, 394)(331, 395)(332, 397)(334, 401)(335, 403)(338, 409)(340, 412)(342, 415)(344, 393)(345, 381)(346, 419)(348, 423)(350, 410)(351, 400)(352, 427)(353, 429)(354, 396)(356, 434)(357, 380)(360, 390)(362, 442)(363, 443)(364, 387)(366, 407)(368, 449)(369, 450)(370, 406)(371, 402)(372, 454)(374, 386)(375, 459)(378, 451)(382, 467)(384, 428)(388, 472)(389, 438)(392, 461)(398, 444)(399, 479)(404, 420)(405, 483)(408, 433)(411, 456)(413, 445)(414, 464)(416, 463)(417, 469)(418, 440)(421, 477)(422, 452)(424, 465)(425, 478)(426, 448)(430, 488)(431, 489)(432, 484)(435, 475)(436, 490)(437, 471)(439, 468)(441, 470)(446, 482)(447, 481)(453, 491)(455, 486)(457, 480)(458, 492)(460, 473)(462, 466)(474, 493)(476, 494)(485, 495)(487, 496)(497, 500)(498, 499)
	L = (1, 251)(2, 252)(3, 253)(4, 254)(5, 255)(6, 256)(7, 257)(8, 258)(9, 259)(10, 260)(11, 261)(12, 262)(13, 263)(14, 264)(15, 265)(16, 266)(17, 267)(18, 268)(19, 269)(20, 270)(21, 271)(22, 272)(23, 273)(24, 274)(25, 275)(26, 276)(27, 277)(28, 278)(29, 279)(30, 280)(31, 281)(32, 282)(33, 283)(34, 284)(35, 285)(36, 286)(37, 287)(38, 288)(39, 289)(40, 290)(41, 291)(42, 292)(43, 293)(44, 294)(45, 295)(46, 296)(47, 297)(48, 298)(49, 299)(50, 300)(51, 301)(52, 302)(53, 303)(54, 304)(55, 305)(56, 306)(57, 307)(58, 308)(59, 309)(60, 310)(61, 311)(62, 312)(63, 313)(64, 314)(65, 315)(66, 316)(67, 317)(68, 318)(69, 319)(70, 320)(71, 321)(72, 322)(73, 323)(74, 324)(75, 325)(76, 326)(77, 327)(78, 328)(79, 329)(80, 330)(81, 331)(82, 332)(83, 333)(84, 334)(85, 335)(86, 336)(87, 337)(88, 338)(89, 339)(90, 340)(91, 341)(92, 342)(93, 343)(94, 344)(95, 345)(96, 346)(97, 347)(98, 348)(99, 349)(100, 350)(101, 351)(102, 352)(103, 353)(104, 354)(105, 355)(106, 356)(107, 357)(108, 358)(109, 359)(110, 360)(111, 361)(112, 362)(113, 363)(114, 364)(115, 365)(116, 366)(117, 367)(118, 368)(119, 369)(120, 370)(121, 371)(122, 372)(123, 373)(124, 374)(125, 375)(126, 376)(127, 377)(128, 378)(129, 379)(130, 380)(131, 381)(132, 382)(133, 383)(134, 384)(135, 385)(136, 386)(137, 387)(138, 388)(139, 389)(140, 390)(141, 391)(142, 392)(143, 393)(144, 394)(145, 395)(146, 396)(147, 397)(148, 398)(149, 399)(150, 400)(151, 401)(152, 402)(153, 403)(154, 404)(155, 405)(156, 406)(157, 407)(158, 408)(159, 409)(160, 410)(161, 411)(162, 412)(163, 413)(164, 414)(165, 415)(166, 416)(167, 417)(168, 418)(169, 419)(170, 420)(171, 421)(172, 422)(173, 423)(174, 424)(175, 425)(176, 426)(177, 427)(178, 428)(179, 429)(180, 430)(181, 431)(182, 432)(183, 433)(184, 434)(185, 435)(186, 436)(187, 437)(188, 438)(189, 439)(190, 440)(191, 441)(192, 442)(193, 443)(194, 444)(195, 445)(196, 446)(197, 447)(198, 448)(199, 449)(200, 450)(201, 451)(202, 452)(203, 453)(204, 454)(205, 455)(206, 456)(207, 457)(208, 458)(209, 459)(210, 460)(211, 461)(212, 462)(213, 463)(214, 464)(215, 465)(216, 466)(217, 467)(218, 468)(219, 469)(220, 470)(221, 471)(222, 472)(223, 473)(224, 474)(225, 475)(226, 476)(227, 477)(228, 478)(229, 479)(230, 480)(231, 481)(232, 482)(233, 483)(234, 484)(235, 485)(236, 486)(237, 487)(238, 488)(239, 489)(240, 490)(241, 491)(242, 492)(243, 493)(244, 494)(245, 495)(246, 496)(247, 497)(248, 498)(249, 499)(250, 500)
	local type(s) :: { ( 20, 20 ), ( 20^5 ) }
Outer automorphisms :: reflexible
Dual of E26.1470
Transitivity :: ET+
Graph:: simple bipartite
	v = 175 e = 250 f = 25
	degree seq :: [ 2^125, 5^50 ]

E26.1467 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 5, 10})
Quotient :: edge
Aut^+ = ((C5 x C5) : C5) : C2 (small group id <250, 5>)
Aut   = $<500, 27>$ (small group id <500, 27>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T1^5, (T1^-1 * T2^2 * T1^-1 * T2)^2, T2^10, T2^2 * T1 * T2^-1 * T1 * T2^-2 * T1^-1 * T2 * T1^-1, (T2^3 * T1^-2)^2, T2^-4 * T1 * T2^-1 * T1^-2 * T2 * T1^2, T2 * T1^-2 * T2^2 * T1 * T2^-5 * T1^-1, T2 * T1 * T2^-2 * T1^-1 * T2^2 * T1^-1 * T2^-3 * T1^-1, T1 * T2^-1 * T1^-1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 10, 25, 58, 130, 85, 37, 15, 5)(2, 7, 18, 43, 98, 185, 114, 50, 21, 8)(4, 12, 30, 69, 147, 210, 123, 54, 23, 9)(6, 16, 38, 87, 168, 230, 157, 94, 41, 17)(11, 27, 63, 92, 40, 91, 174, 126, 56, 24)(13, 32, 73, 153, 135, 218, 192, 143, 67, 29)(14, 34, 77, 159, 201, 152, 74, 155, 80, 35)(19, 45, 102, 141, 66, 140, 221, 181, 96, 42)(20, 47, 106, 194, 145, 68, 31, 71, 109, 48)(22, 51, 115, 200, 166, 86, 39, 89, 118, 52)(26, 60, 133, 204, 117, 203, 142, 182, 128, 57)(28, 65, 139, 81, 161, 234, 225, 149, 136, 62)(33, 75, 156, 110, 196, 217, 132, 61, 134, 76)(36, 82, 162, 167, 88, 169, 103, 189, 108, 83)(44, 100, 64, 137, 79, 121, 53, 120, 183, 97)(46, 104, 191, 177, 240, 241, 187, 101, 188, 105)(49, 111, 197, 163, 154, 205, 171, 231, 176, 112)(55, 124, 184, 99, 186, 199, 116, 202, 213, 125)(59, 131, 216, 222, 212, 248, 219, 144, 215, 129)(70, 148, 226, 211, 223, 178, 93, 127, 214, 146)(72, 151, 207, 119, 206, 247, 246, 229, 227, 150)(78, 160, 232, 180, 95, 179, 209, 122, 208, 158)(84, 164, 193, 107, 195, 243, 233, 165, 220, 138)(90, 172, 237, 224, 245, 249, 235, 170, 236, 173)(113, 198, 238, 175, 239, 250, 244, 228, 242, 190)(251, 252, 256, 263, 254)(253, 259, 272, 278, 261)(255, 264, 283, 269, 257)(258, 270, 296, 289, 266)(260, 274, 305, 311, 276)(262, 279, 316, 322, 281)(265, 286, 331, 328, 284)(267, 290, 340, 324, 282)(268, 292, 345, 351, 294)(271, 299, 360, 357, 297)(273, 303, 369, 366, 301)(275, 307, 377, 344, 309)(277, 312, 385, 388, 314)(280, 318, 394, 399, 320)(285, 329, 381, 407, 325)(287, 334, 403, 413, 332)(288, 336, 415, 420, 338)(291, 343, 427, 425, 341)(293, 347, 432, 393, 349)(295, 326, 397, 440, 353)(298, 358, 436, 442, 354)(300, 363, 319, 396, 361)(302, 367, 448, 364, 315)(304, 372, 337, 417, 370)(306, 356, 443, 461, 374)(308, 379, 421, 339, 355)(310, 382, 411, 333, 359)(313, 350, 437, 446, 362)(317, 392, 474, 472, 390)(321, 400, 418, 459, 383)(323, 402, 478, 479, 404)(327, 408, 481, 465, 395)(330, 398, 475, 456, 371)(335, 401, 391, 473, 414)(342, 426, 458, 373, 422)(346, 424, 488, 454, 429)(348, 434, 476, 405, 423)(352, 419, 485, 490, 428)(365, 449, 439, 492, 451)(368, 455, 496, 495, 453)(375, 462, 487, 460, 384)(376, 431, 450, 409, 444)(378, 433, 412, 447, 464)(380, 438, 430, 452, 457)(386, 469, 489, 441, 468)(387, 470, 416, 471, 466)(389, 435, 486, 483, 410)(406, 480, 477, 494, 445)(463, 482, 493, 500, 498)(467, 491, 499, 497, 484)
	L = (1, 251)(2, 252)(3, 253)(4, 254)(5, 255)(6, 256)(7, 257)(8, 258)(9, 259)(10, 260)(11, 261)(12, 262)(13, 263)(14, 264)(15, 265)(16, 266)(17, 267)(18, 268)(19, 269)(20, 270)(21, 271)(22, 272)(23, 273)(24, 274)(25, 275)(26, 276)(27, 277)(28, 278)(29, 279)(30, 280)(31, 281)(32, 282)(33, 283)(34, 284)(35, 285)(36, 286)(37, 287)(38, 288)(39, 289)(40, 290)(41, 291)(42, 292)(43, 293)(44, 294)(45, 295)(46, 296)(47, 297)(48, 298)(49, 299)(50, 300)(51, 301)(52, 302)(53, 303)(54, 304)(55, 305)(56, 306)(57, 307)(58, 308)(59, 309)(60, 310)(61, 311)(62, 312)(63, 313)(64, 314)(65, 315)(66, 316)(67, 317)(68, 318)(69, 319)(70, 320)(71, 321)(72, 322)(73, 323)(74, 324)(75, 325)(76, 326)(77, 327)(78, 328)(79, 329)(80, 330)(81, 331)(82, 332)(83, 333)(84, 334)(85, 335)(86, 336)(87, 337)(88, 338)(89, 339)(90, 340)(91, 341)(92, 342)(93, 343)(94, 344)(95, 345)(96, 346)(97, 347)(98, 348)(99, 349)(100, 350)(101, 351)(102, 352)(103, 353)(104, 354)(105, 355)(106, 356)(107, 357)(108, 358)(109, 359)(110, 360)(111, 361)(112, 362)(113, 363)(114, 364)(115, 365)(116, 366)(117, 367)(118, 368)(119, 369)(120, 370)(121, 371)(122, 372)(123, 373)(124, 374)(125, 375)(126, 376)(127, 377)(128, 378)(129, 379)(130, 380)(131, 381)(132, 382)(133, 383)(134, 384)(135, 385)(136, 386)(137, 387)(138, 388)(139, 389)(140, 390)(141, 391)(142, 392)(143, 393)(144, 394)(145, 395)(146, 396)(147, 397)(148, 398)(149, 399)(150, 400)(151, 401)(152, 402)(153, 403)(154, 404)(155, 405)(156, 406)(157, 407)(158, 408)(159, 409)(160, 410)(161, 411)(162, 412)(163, 413)(164, 414)(165, 415)(166, 416)(167, 417)(168, 418)(169, 419)(170, 420)(171, 421)(172, 422)(173, 423)(174, 424)(175, 425)(176, 426)(177, 427)(178, 428)(179, 429)(180, 430)(181, 431)(182, 432)(183, 433)(184, 434)(185, 435)(186, 436)(187, 437)(188, 438)(189, 439)(190, 440)(191, 441)(192, 442)(193, 443)(194, 444)(195, 445)(196, 446)(197, 447)(198, 448)(199, 449)(200, 450)(201, 451)(202, 452)(203, 453)(204, 454)(205, 455)(206, 456)(207, 457)(208, 458)(209, 459)(210, 460)(211, 461)(212, 462)(213, 463)(214, 464)(215, 465)(216, 466)(217, 467)(218, 468)(219, 469)(220, 470)(221, 471)(222, 472)(223, 473)(224, 474)(225, 475)(226, 476)(227, 477)(228, 478)(229, 479)(230, 480)(231, 481)(232, 482)(233, 483)(234, 484)(235, 485)(236, 486)(237, 487)(238, 488)(239, 489)(240, 490)(241, 491)(242, 492)(243, 493)(244, 494)(245, 495)(246, 496)(247, 497)(248, 498)(249, 499)(250, 500)
	local type(s) :: { ( 4^5 ), ( 4^10 ) }
Outer automorphisms :: reflexible
Dual of E26.1471
Transitivity :: ET+
Graph:: simple bipartite
	v = 75 e = 250 f = 125
	degree seq :: [ 5^50, 10^25 ]

E26.1468 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 5, 10})
Quotient :: edge
Aut^+ = ((C5 x C5) : C5) : C2 (small group id <250, 5>)
Aut   = $<500, 27>$ (small group id <500, 27>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^5, T1^10, T1^-1 * T2 * T1^3 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1, T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2, T1^-1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-5 * T2 * T1^-1, T2 * T1^-1 * T2 * T1 * T2 * T1^-5 * T2 * T1 * T2 * T1^-1 ]
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, 57)(38, 76)(39, 79)(42, 83)(43, 86)(44, 87)(46, 91)(47, 92)(49, 96)(50, 97)(51, 100)(54, 105)(55, 108)(58, 112)(59, 115)(60, 101)(62, 119)(63, 122)(65, 124)(66, 98)(67, 126)(70, 106)(71, 132)(73, 135)(74, 137)(75, 138)(77, 142)(78, 114)(80, 145)(81, 146)(82, 148)(84, 150)(85, 117)(88, 139)(89, 155)(90, 156)(93, 163)(94, 164)(95, 167)(99, 174)(102, 177)(103, 179)(104, 168)(107, 183)(109, 185)(110, 165)(111, 187)(113, 172)(116, 194)(118, 196)(120, 198)(121, 176)(123, 190)(125, 202)(127, 182)(128, 166)(129, 161)(130, 191)(131, 197)(133, 160)(134, 207)(136, 171)(140, 170)(141, 210)(143, 212)(144, 213)(147, 208)(149, 162)(151, 199)(152, 186)(153, 169)(154, 193)(157, 175)(158, 192)(159, 189)(173, 223)(178, 218)(180, 226)(181, 228)(184, 225)(188, 216)(195, 217)(200, 233)(201, 220)(203, 229)(204, 234)(205, 227)(206, 230)(209, 224)(211, 219)(214, 239)(215, 231)(221, 242)(222, 243)(232, 240)(235, 247)(236, 248)(237, 244)(238, 245)(241, 249)(246, 250)(251, 252, 255, 261, 273, 297, 296, 272, 260, 254)(253, 257, 265, 281, 313, 371, 327, 288, 268, 258)(256, 263, 277, 305, 357, 432, 370, 312, 280, 264)(259, 269, 289, 328, 393, 437, 401, 334, 292, 270)(262, 275, 301, 349, 423, 385, 431, 356, 304, 276)(266, 283, 317, 375, 439, 362, 438, 380, 320, 284)(267, 285, 321, 381, 456, 398, 413, 386, 323, 286)(271, 293, 335, 382, 454, 376, 453, 404, 338, 294)(274, 299, 345, 416, 469, 444, 472, 422, 348, 300)(278, 307, 361, 436, 406, 427, 474, 440, 363, 308)(279, 309, 364, 441, 384, 322, 383, 445, 366, 310)(282, 315, 350, 425, 399, 333, 368, 311, 367, 316)(287, 324, 355, 329, 360, 306, 359, 417, 389, 325)(290, 330, 394, 455, 379, 319, 378, 447, 369, 331)(291, 332, 397, 460, 470, 419, 346, 418, 377, 318)(295, 339, 387, 458, 486, 463, 483, 457, 407, 340)(298, 343, 412, 466, 490, 476, 491, 468, 415, 344)(302, 351, 426, 395, 337, 403, 465, 475, 428, 352)(303, 353, 314, 373, 443, 365, 442, 477, 430, 354)(326, 390, 336, 402, 464, 467, 414, 396, 424, 391)(341, 408, 446, 481, 496, 489, 495, 480, 435, 409)(342, 410, 388, 459, 487, 492, 485, 451, 374, 411)(347, 420, 358, 434, 400, 429, 405, 452, 471, 421)(372, 449, 473, 448, 482, 493, 500, 497, 484, 450)(392, 461, 478, 494, 499, 498, 488, 462, 479, 433)
	L = (1, 251)(2, 252)(3, 253)(4, 254)(5, 255)(6, 256)(7, 257)(8, 258)(9, 259)(10, 260)(11, 261)(12, 262)(13, 263)(14, 264)(15, 265)(16, 266)(17, 267)(18, 268)(19, 269)(20, 270)(21, 271)(22, 272)(23, 273)(24, 274)(25, 275)(26, 276)(27, 277)(28, 278)(29, 279)(30, 280)(31, 281)(32, 282)(33, 283)(34, 284)(35, 285)(36, 286)(37, 287)(38, 288)(39, 289)(40, 290)(41, 291)(42, 292)(43, 293)(44, 294)(45, 295)(46, 296)(47, 297)(48, 298)(49, 299)(50, 300)(51, 301)(52, 302)(53, 303)(54, 304)(55, 305)(56, 306)(57, 307)(58, 308)(59, 309)(60, 310)(61, 311)(62, 312)(63, 313)(64, 314)(65, 315)(66, 316)(67, 317)(68, 318)(69, 319)(70, 320)(71, 321)(72, 322)(73, 323)(74, 324)(75, 325)(76, 326)(77, 327)(78, 328)(79, 329)(80, 330)(81, 331)(82, 332)(83, 333)(84, 334)(85, 335)(86, 336)(87, 337)(88, 338)(89, 339)(90, 340)(91, 341)(92, 342)(93, 343)(94, 344)(95, 345)(96, 346)(97, 347)(98, 348)(99, 349)(100, 350)(101, 351)(102, 352)(103, 353)(104, 354)(105, 355)(106, 356)(107, 357)(108, 358)(109, 359)(110, 360)(111, 361)(112, 362)(113, 363)(114, 364)(115, 365)(116, 366)(117, 367)(118, 368)(119, 369)(120, 370)(121, 371)(122, 372)(123, 373)(124, 374)(125, 375)(126, 376)(127, 377)(128, 378)(129, 379)(130, 380)(131, 381)(132, 382)(133, 383)(134, 384)(135, 385)(136, 386)(137, 387)(138, 388)(139, 389)(140, 390)(141, 391)(142, 392)(143, 393)(144, 394)(145, 395)(146, 396)(147, 397)(148, 398)(149, 399)(150, 400)(151, 401)(152, 402)(153, 403)(154, 404)(155, 405)(156, 406)(157, 407)(158, 408)(159, 409)(160, 410)(161, 411)(162, 412)(163, 413)(164, 414)(165, 415)(166, 416)(167, 417)(168, 418)(169, 419)(170, 420)(171, 421)(172, 422)(173, 423)(174, 424)(175, 425)(176, 426)(177, 427)(178, 428)(179, 429)(180, 430)(181, 431)(182, 432)(183, 433)(184, 434)(185, 435)(186, 436)(187, 437)(188, 438)(189, 439)(190, 440)(191, 441)(192, 442)(193, 443)(194, 444)(195, 445)(196, 446)(197, 447)(198, 448)(199, 449)(200, 450)(201, 451)(202, 452)(203, 453)(204, 454)(205, 455)(206, 456)(207, 457)(208, 458)(209, 459)(210, 460)(211, 461)(212, 462)(213, 463)(214, 464)(215, 465)(216, 466)(217, 467)(218, 468)(219, 469)(220, 470)(221, 471)(222, 472)(223, 473)(224, 474)(225, 475)(226, 476)(227, 477)(228, 478)(229, 479)(230, 480)(231, 481)(232, 482)(233, 483)(234, 484)(235, 485)(236, 486)(237, 487)(238, 488)(239, 489)(240, 490)(241, 491)(242, 492)(243, 493)(244, 494)(245, 495)(246, 496)(247, 497)(248, 498)(249, 499)(250, 500)
	local type(s) :: { ( 10, 10 ), ( 10^10 ) }
Outer automorphisms :: reflexible
Dual of E26.1469
Transitivity :: ET+
Graph:: simple bipartite
	v = 150 e = 250 f = 50
	degree seq :: [ 2^125, 10^25 ]

E26.1469 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 5, 10})
Quotient :: loop
Aut^+ = ((C5 x C5) : C5) : C2 (small group id <250, 5>)
Aut   = $<500, 27>$ (small group id <500, 27>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^5, (T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1)^2, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1, T1 * T2^-1 * T1 * T2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2, T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^2, T1 * T2^2 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-2, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 251, 3, 253, 8, 258, 10, 260, 4, 254)(2, 252, 5, 255, 12, 262, 14, 264, 6, 256)(7, 257, 15, 265, 28, 278, 30, 280, 16, 266)(9, 259, 18, 268, 34, 284, 36, 286, 19, 269)(11, 261, 21, 271, 40, 290, 42, 292, 22, 272)(13, 263, 24, 274, 46, 296, 48, 298, 25, 275)(17, 267, 31, 281, 58, 308, 60, 310, 32, 282)(20, 270, 37, 287, 68, 318, 70, 320, 38, 288)(23, 273, 43, 293, 78, 328, 80, 330, 44, 294)(26, 276, 49, 299, 88, 338, 90, 340, 50, 300)(27, 277, 51, 301, 92, 342, 94, 344, 52, 302)(29, 279, 54, 304, 98, 348, 100, 350, 55, 305)(33, 283, 61, 311, 110, 360, 112, 362, 62, 312)(35, 285, 64, 314, 116, 366, 118, 368, 65, 315)(39, 289, 71, 321, 128, 378, 130, 380, 72, 322)(41, 291, 74, 324, 134, 384, 136, 386, 75, 325)(45, 295, 81, 331, 146, 396, 148, 398, 82, 332)(47, 297, 84, 334, 152, 402, 154, 404, 85, 335)(53, 303, 95, 345, 168, 418, 170, 420, 96, 346)(56, 306, 101, 351, 176, 426, 178, 428, 102, 352)(57, 307, 103, 353, 180, 430, 181, 431, 104, 354)(59, 309, 106, 356, 185, 435, 186, 436, 107, 357)(63, 313, 113, 363, 194, 444, 195, 445, 114, 364)(66, 316, 119, 369, 201, 451, 202, 452, 120, 370)(67, 317, 121, 371, 203, 453, 205, 455, 122, 372)(69, 319, 124, 374, 208, 458, 210, 460, 125, 375)(73, 323, 131, 381, 216, 466, 199, 449, 132, 382)(76, 326, 137, 387, 221, 471, 173, 423, 138, 388)(77, 327, 139, 389, 223, 473, 224, 474, 140, 390)(79, 329, 142, 392, 225, 475, 226, 476, 143, 393)(83, 333, 149, 399, 192, 442, 230, 480, 150, 400)(86, 336, 155, 405, 165, 415, 234, 484, 156, 406)(87, 337, 157, 407, 235, 485, 236, 486, 158, 408)(89, 339, 160, 410, 237, 487, 238, 488, 161, 411)(91, 341, 163, 413, 159, 409, 209, 459, 164, 414)(93, 343, 166, 416, 196, 446, 115, 365, 167, 417)(97, 347, 171, 421, 204, 454, 141, 391, 172, 422)(99, 349, 174, 424, 109, 359, 189, 439, 175, 425)(105, 355, 182, 432, 133, 383, 218, 468, 183, 433)(108, 358, 187, 437, 153, 403, 232, 482, 188, 438)(111, 361, 190, 440, 162, 412, 184, 434, 191, 441)(117, 367, 197, 447, 179, 429, 144, 394, 198, 448)(123, 373, 206, 456, 213, 463, 127, 377, 207, 457)(126, 376, 211, 461, 228, 478, 147, 397, 212, 462)(129, 379, 214, 464, 231, 481, 151, 401, 215, 465)(135, 385, 219, 469, 145, 395, 227, 477, 220, 470)(169, 419, 200, 450, 242, 492, 247, 497, 239, 489)(177, 427, 240, 490, 248, 498, 241, 491, 193, 443)(217, 467, 233, 483, 246, 496, 249, 499, 243, 493)(222, 472, 244, 494, 250, 500, 245, 495, 229, 479)
	L = (1, 252)(2, 251)(3, 257)(4, 259)(5, 261)(6, 263)(7, 253)(8, 267)(9, 254)(10, 270)(11, 255)(12, 273)(13, 256)(14, 276)(15, 277)(16, 279)(17, 258)(18, 283)(19, 285)(20, 260)(21, 289)(22, 291)(23, 262)(24, 295)(25, 297)(26, 264)(27, 265)(28, 303)(29, 266)(30, 306)(31, 307)(32, 309)(33, 268)(34, 313)(35, 269)(36, 316)(37, 317)(38, 319)(39, 271)(40, 323)(41, 272)(42, 326)(43, 327)(44, 329)(45, 274)(46, 333)(47, 275)(48, 336)(49, 337)(50, 339)(51, 341)(52, 343)(53, 278)(54, 347)(55, 349)(56, 280)(57, 281)(58, 355)(59, 282)(60, 358)(61, 359)(62, 361)(63, 284)(64, 365)(65, 367)(66, 286)(67, 287)(68, 373)(69, 288)(70, 376)(71, 377)(72, 379)(73, 290)(74, 383)(75, 385)(76, 292)(77, 293)(78, 391)(79, 294)(80, 394)(81, 395)(82, 397)(83, 296)(84, 401)(85, 403)(86, 298)(87, 299)(88, 409)(89, 300)(90, 412)(91, 301)(92, 415)(93, 302)(94, 393)(95, 381)(96, 419)(97, 304)(98, 423)(99, 305)(100, 410)(101, 400)(102, 427)(103, 429)(104, 396)(105, 308)(106, 434)(107, 380)(108, 310)(109, 311)(110, 390)(111, 312)(112, 442)(113, 443)(114, 387)(115, 314)(116, 407)(117, 315)(118, 449)(119, 450)(120, 406)(121, 402)(122, 454)(123, 318)(124, 386)(125, 459)(126, 320)(127, 321)(128, 451)(129, 322)(130, 357)(131, 345)(132, 467)(133, 324)(134, 428)(135, 325)(136, 374)(137, 364)(138, 472)(139, 438)(140, 360)(141, 328)(142, 461)(143, 344)(144, 330)(145, 331)(146, 354)(147, 332)(148, 444)(149, 479)(150, 351)(151, 334)(152, 371)(153, 335)(154, 420)(155, 483)(156, 370)(157, 366)(158, 433)(159, 338)(160, 350)(161, 456)(162, 340)(163, 445)(164, 464)(165, 342)(166, 463)(167, 469)(168, 440)(169, 346)(170, 404)(171, 477)(172, 452)(173, 348)(174, 465)(175, 478)(176, 448)(177, 352)(178, 384)(179, 353)(180, 488)(181, 489)(182, 484)(183, 408)(184, 356)(185, 475)(186, 490)(187, 471)(188, 389)(189, 468)(190, 418)(191, 470)(192, 362)(193, 363)(194, 398)(195, 413)(196, 482)(197, 481)(198, 426)(199, 368)(200, 369)(201, 378)(202, 422)(203, 491)(204, 372)(205, 486)(206, 411)(207, 480)(208, 492)(209, 375)(210, 473)(211, 392)(212, 466)(213, 416)(214, 414)(215, 424)(216, 462)(217, 382)(218, 439)(219, 417)(220, 441)(221, 437)(222, 388)(223, 460)(224, 493)(225, 435)(226, 494)(227, 421)(228, 425)(229, 399)(230, 457)(231, 447)(232, 446)(233, 405)(234, 432)(235, 495)(236, 455)(237, 496)(238, 430)(239, 431)(240, 436)(241, 453)(242, 458)(243, 474)(244, 476)(245, 485)(246, 487)(247, 500)(248, 499)(249, 498)(250, 497)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E26.1468
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 50 e = 250 f = 150
	degree seq :: [ 10^50 ]

E26.1470 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 5, 10})
Quotient :: loop
Aut^+ = ((C5 x C5) : C5) : C2 (small group id <250, 5>)
Aut   = $<500, 27>$ (small group id <500, 27>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T1^5, (T1^-1 * T2^2 * T1^-1 * T2)^2, T2^10, T2^2 * T1 * T2^-1 * T1 * T2^-2 * T1^-1 * T2 * T1^-1, (T2^3 * T1^-2)^2, T2^-4 * T1 * T2^-1 * T1^-2 * T2 * T1^2, T2 * T1^-2 * T2^2 * T1 * T2^-5 * T1^-1, T2 * T1 * T2^-2 * T1^-1 * T2^2 * T1^-1 * T2^-3 * T1^-1, T1 * T2^-1 * T1^-1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 ]
Map::
	R = (1, 251, 3, 253, 10, 260, 25, 275, 58, 308, 130, 380, 85, 335, 37, 287, 15, 265, 5, 255)(2, 252, 7, 257, 18, 268, 43, 293, 98, 348, 185, 435, 114, 364, 50, 300, 21, 271, 8, 258)(4, 254, 12, 262, 30, 280, 69, 319, 147, 397, 210, 460, 123, 373, 54, 304, 23, 273, 9, 259)(6, 256, 16, 266, 38, 288, 87, 337, 168, 418, 230, 480, 157, 407, 94, 344, 41, 291, 17, 267)(11, 261, 27, 277, 63, 313, 92, 342, 40, 290, 91, 341, 174, 424, 126, 376, 56, 306, 24, 274)(13, 263, 32, 282, 73, 323, 153, 403, 135, 385, 218, 468, 192, 442, 143, 393, 67, 317, 29, 279)(14, 264, 34, 284, 77, 327, 159, 409, 201, 451, 152, 402, 74, 324, 155, 405, 80, 330, 35, 285)(19, 269, 45, 295, 102, 352, 141, 391, 66, 316, 140, 390, 221, 471, 181, 431, 96, 346, 42, 292)(20, 270, 47, 297, 106, 356, 194, 444, 145, 395, 68, 318, 31, 281, 71, 321, 109, 359, 48, 298)(22, 272, 51, 301, 115, 365, 200, 450, 166, 416, 86, 336, 39, 289, 89, 339, 118, 368, 52, 302)(26, 276, 60, 310, 133, 383, 204, 454, 117, 367, 203, 453, 142, 392, 182, 432, 128, 378, 57, 307)(28, 278, 65, 315, 139, 389, 81, 331, 161, 411, 234, 484, 225, 475, 149, 399, 136, 386, 62, 312)(33, 283, 75, 325, 156, 406, 110, 360, 196, 446, 217, 467, 132, 382, 61, 311, 134, 384, 76, 326)(36, 286, 82, 332, 162, 412, 167, 417, 88, 338, 169, 419, 103, 353, 189, 439, 108, 358, 83, 333)(44, 294, 100, 350, 64, 314, 137, 387, 79, 329, 121, 371, 53, 303, 120, 370, 183, 433, 97, 347)(46, 296, 104, 354, 191, 441, 177, 427, 240, 490, 241, 491, 187, 437, 101, 351, 188, 438, 105, 355)(49, 299, 111, 361, 197, 447, 163, 413, 154, 404, 205, 455, 171, 421, 231, 481, 176, 426, 112, 362)(55, 305, 124, 374, 184, 434, 99, 349, 186, 436, 199, 449, 116, 366, 202, 452, 213, 463, 125, 375)(59, 309, 131, 381, 216, 466, 222, 472, 212, 462, 248, 498, 219, 469, 144, 394, 215, 465, 129, 379)(70, 320, 148, 398, 226, 476, 211, 461, 223, 473, 178, 428, 93, 343, 127, 377, 214, 464, 146, 396)(72, 322, 151, 401, 207, 457, 119, 369, 206, 456, 247, 497, 246, 496, 229, 479, 227, 477, 150, 400)(78, 328, 160, 410, 232, 482, 180, 430, 95, 345, 179, 429, 209, 459, 122, 372, 208, 458, 158, 408)(84, 334, 164, 414, 193, 443, 107, 357, 195, 445, 243, 493, 233, 483, 165, 415, 220, 470, 138, 388)(90, 340, 172, 422, 237, 487, 224, 474, 245, 495, 249, 499, 235, 485, 170, 420, 236, 486, 173, 423)(113, 363, 198, 448, 238, 488, 175, 425, 239, 489, 250, 500, 244, 494, 228, 478, 242, 492, 190, 440)
	L = (1, 252)(2, 256)(3, 259)(4, 251)(5, 264)(6, 263)(7, 255)(8, 270)(9, 272)(10, 274)(11, 253)(12, 279)(13, 254)(14, 283)(15, 286)(16, 258)(17, 290)(18, 292)(19, 257)(20, 296)(21, 299)(22, 278)(23, 303)(24, 305)(25, 307)(26, 260)(27, 312)(28, 261)(29, 316)(30, 318)(31, 262)(32, 267)(33, 269)(34, 265)(35, 329)(36, 331)(37, 334)(38, 336)(39, 266)(40, 340)(41, 343)(42, 345)(43, 347)(44, 268)(45, 326)(46, 289)(47, 271)(48, 358)(49, 360)(50, 363)(51, 273)(52, 367)(53, 369)(54, 372)(55, 311)(56, 356)(57, 377)(58, 379)(59, 275)(60, 382)(61, 276)(62, 385)(63, 350)(64, 277)(65, 302)(66, 322)(67, 392)(68, 394)(69, 396)(70, 280)(71, 400)(72, 281)(73, 402)(74, 282)(75, 285)(76, 397)(77, 408)(78, 284)(79, 381)(80, 398)(81, 328)(82, 287)(83, 359)(84, 403)(85, 401)(86, 415)(87, 417)(88, 288)(89, 355)(90, 324)(91, 291)(92, 426)(93, 427)(94, 309)(95, 351)(96, 424)(97, 432)(98, 434)(99, 293)(100, 437)(101, 294)(102, 419)(103, 295)(104, 298)(105, 308)(106, 443)(107, 297)(108, 436)(109, 310)(110, 357)(111, 300)(112, 313)(113, 319)(114, 315)(115, 449)(116, 301)(117, 448)(118, 455)(119, 366)(120, 304)(121, 330)(122, 337)(123, 422)(124, 306)(125, 462)(126, 431)(127, 344)(128, 433)(129, 421)(130, 438)(131, 407)(132, 411)(133, 321)(134, 375)(135, 388)(136, 469)(137, 470)(138, 314)(139, 435)(140, 317)(141, 473)(142, 474)(143, 349)(144, 399)(145, 327)(146, 361)(147, 440)(148, 475)(149, 320)(150, 418)(151, 391)(152, 478)(153, 413)(154, 323)(155, 423)(156, 480)(157, 325)(158, 481)(159, 444)(160, 389)(161, 333)(162, 447)(163, 332)(164, 335)(165, 420)(166, 471)(167, 370)(168, 459)(169, 485)(170, 338)(171, 339)(172, 342)(173, 348)(174, 488)(175, 341)(176, 458)(177, 425)(178, 352)(179, 346)(180, 452)(181, 450)(182, 393)(183, 412)(184, 476)(185, 486)(186, 442)(187, 446)(188, 430)(189, 492)(190, 353)(191, 468)(192, 354)(193, 461)(194, 376)(195, 406)(196, 362)(197, 464)(198, 364)(199, 439)(200, 409)(201, 365)(202, 457)(203, 368)(204, 429)(205, 496)(206, 371)(207, 380)(208, 373)(209, 383)(210, 384)(211, 374)(212, 487)(213, 482)(214, 378)(215, 395)(216, 387)(217, 491)(218, 386)(219, 489)(220, 416)(221, 466)(222, 390)(223, 414)(224, 472)(225, 456)(226, 405)(227, 494)(228, 479)(229, 404)(230, 477)(231, 465)(232, 493)(233, 410)(234, 467)(235, 490)(236, 483)(237, 460)(238, 454)(239, 441)(240, 428)(241, 499)(242, 451)(243, 500)(244, 445)(245, 453)(246, 495)(247, 484)(248, 463)(249, 497)(250, 498)
	local type(s) :: { ( 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5 ) }
Outer automorphisms :: reflexible
Dual of E26.1466
Transitivity :: ET+ VT+ AT
Graph::
	v = 25 e = 250 f = 175
	degree seq :: [ 20^25 ]

E26.1471 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 5, 10})
Quotient :: loop
Aut^+ = ((C5 x C5) : C5) : C2 (small group id <250, 5>)
Aut   = $<500, 27>$ (small group id <500, 27>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^5, T1^10, T1^-1 * T2 * T1^3 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1, T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2, T1^-1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-5 * T2 * T1^-1, T2 * T1^-1 * T2 * T1 * T2 * T1^-5 * T2 * T1 * T2 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 251, 3, 253)(2, 252, 6, 256)(4, 254, 9, 259)(5, 255, 12, 262)(7, 257, 16, 266)(8, 258, 17, 267)(10, 260, 21, 271)(11, 261, 24, 274)(13, 263, 28, 278)(14, 264, 29, 279)(15, 265, 32, 282)(18, 268, 37, 287)(19, 269, 40, 290)(20, 270, 41, 291)(22, 272, 45, 295)(23, 273, 48, 298)(25, 275, 52, 302)(26, 276, 53, 303)(27, 277, 56, 306)(30, 280, 61, 311)(31, 281, 64, 314)(33, 283, 68, 318)(34, 284, 69, 319)(35, 285, 72, 322)(36, 286, 57, 307)(38, 288, 76, 326)(39, 289, 79, 329)(42, 292, 83, 333)(43, 293, 86, 336)(44, 294, 87, 337)(46, 296, 91, 341)(47, 297, 92, 342)(49, 299, 96, 346)(50, 300, 97, 347)(51, 301, 100, 350)(54, 304, 105, 355)(55, 305, 108, 358)(58, 308, 112, 362)(59, 309, 115, 365)(60, 310, 101, 351)(62, 312, 119, 369)(63, 313, 122, 372)(65, 315, 124, 374)(66, 316, 98, 348)(67, 317, 126, 376)(70, 320, 106, 356)(71, 321, 132, 382)(73, 323, 135, 385)(74, 324, 137, 387)(75, 325, 138, 388)(77, 327, 142, 392)(78, 328, 114, 364)(80, 330, 145, 395)(81, 331, 146, 396)(82, 332, 148, 398)(84, 334, 150, 400)(85, 335, 117, 367)(88, 338, 139, 389)(89, 339, 155, 405)(90, 340, 156, 406)(93, 343, 163, 413)(94, 344, 164, 414)(95, 345, 167, 417)(99, 349, 174, 424)(102, 352, 177, 427)(103, 353, 179, 429)(104, 354, 168, 418)(107, 357, 183, 433)(109, 359, 185, 435)(110, 360, 165, 415)(111, 361, 187, 437)(113, 363, 172, 422)(116, 366, 194, 444)(118, 368, 196, 446)(120, 370, 198, 448)(121, 371, 176, 426)(123, 373, 190, 440)(125, 375, 202, 452)(127, 377, 182, 432)(128, 378, 166, 416)(129, 379, 161, 411)(130, 380, 191, 441)(131, 381, 197, 447)(133, 383, 160, 410)(134, 384, 207, 457)(136, 386, 171, 421)(140, 390, 170, 420)(141, 391, 210, 460)(143, 393, 212, 462)(144, 394, 213, 463)(147, 397, 208, 458)(149, 399, 162, 412)(151, 401, 199, 449)(152, 402, 186, 436)(153, 403, 169, 419)(154, 404, 193, 443)(157, 407, 175, 425)(158, 408, 192, 442)(159, 409, 189, 439)(173, 423, 223, 473)(178, 428, 218, 468)(180, 430, 226, 476)(181, 431, 228, 478)(184, 434, 225, 475)(188, 438, 216, 466)(195, 445, 217, 467)(200, 450, 233, 483)(201, 451, 220, 470)(203, 453, 229, 479)(204, 454, 234, 484)(205, 455, 227, 477)(206, 456, 230, 480)(209, 459, 224, 474)(211, 461, 219, 469)(214, 464, 239, 489)(215, 465, 231, 481)(221, 471, 242, 492)(222, 472, 243, 493)(232, 482, 240, 490)(235, 485, 247, 497)(236, 486, 248, 498)(237, 487, 244, 494)(238, 488, 245, 495)(241, 491, 249, 499)(246, 496, 250, 500)
	L = (1, 252)(2, 255)(3, 257)(4, 251)(5, 261)(6, 263)(7, 265)(8, 253)(9, 269)(10, 254)(11, 273)(12, 275)(13, 277)(14, 256)(15, 281)(16, 283)(17, 285)(18, 258)(19, 289)(20, 259)(21, 293)(22, 260)(23, 297)(24, 299)(25, 301)(26, 262)(27, 305)(28, 307)(29, 309)(30, 264)(31, 313)(32, 315)(33, 317)(34, 266)(35, 321)(36, 267)(37, 324)(38, 268)(39, 328)(40, 330)(41, 332)(42, 270)(43, 335)(44, 271)(45, 339)(46, 272)(47, 296)(48, 343)(49, 345)(50, 274)(51, 349)(52, 351)(53, 353)(54, 276)(55, 357)(56, 359)(57, 361)(58, 278)(59, 364)(60, 279)(61, 367)(62, 280)(63, 371)(64, 373)(65, 350)(66, 282)(67, 375)(68, 291)(69, 378)(70, 284)(71, 381)(72, 383)(73, 286)(74, 355)(75, 287)(76, 390)(77, 288)(78, 393)(79, 360)(80, 394)(81, 290)(82, 397)(83, 368)(84, 292)(85, 382)(86, 402)(87, 403)(88, 294)(89, 387)(90, 295)(91, 408)(92, 410)(93, 412)(94, 298)(95, 416)(96, 418)(97, 420)(98, 300)(99, 423)(100, 425)(101, 426)(102, 302)(103, 314)(104, 303)(105, 329)(106, 304)(107, 432)(108, 434)(109, 417)(110, 306)(111, 436)(112, 438)(113, 308)(114, 441)(115, 442)(116, 310)(117, 316)(118, 311)(119, 331)(120, 312)(121, 327)(122, 449)(123, 443)(124, 411)(125, 439)(126, 453)(127, 318)(128, 447)(129, 319)(130, 320)(131, 456)(132, 454)(133, 445)(134, 322)(135, 431)(136, 323)(137, 458)(138, 459)(139, 325)(140, 336)(141, 326)(142, 461)(143, 437)(144, 455)(145, 337)(146, 424)(147, 460)(148, 413)(149, 333)(150, 429)(151, 334)(152, 464)(153, 465)(154, 338)(155, 452)(156, 427)(157, 340)(158, 446)(159, 341)(160, 388)(161, 342)(162, 466)(163, 386)(164, 396)(165, 344)(166, 469)(167, 389)(168, 377)(169, 346)(170, 358)(171, 347)(172, 348)(173, 385)(174, 391)(175, 399)(176, 395)(177, 474)(178, 352)(179, 405)(180, 354)(181, 356)(182, 370)(183, 392)(184, 400)(185, 409)(186, 406)(187, 401)(188, 380)(189, 362)(190, 363)(191, 384)(192, 477)(193, 365)(194, 472)(195, 366)(196, 481)(197, 369)(198, 482)(199, 473)(200, 372)(201, 374)(202, 471)(203, 404)(204, 376)(205, 379)(206, 398)(207, 407)(208, 486)(209, 487)(210, 470)(211, 478)(212, 479)(213, 483)(214, 467)(215, 475)(216, 490)(217, 414)(218, 415)(219, 444)(220, 419)(221, 421)(222, 422)(223, 448)(224, 440)(225, 428)(226, 491)(227, 430)(228, 494)(229, 433)(230, 435)(231, 496)(232, 493)(233, 457)(234, 450)(235, 451)(236, 463)(237, 492)(238, 462)(239, 495)(240, 476)(241, 468)(242, 485)(243, 500)(244, 499)(245, 480)(246, 489)(247, 484)(248, 488)(249, 498)(250, 497)
	local type(s) :: { ( 5, 10, 5, 10 ) }
Outer automorphisms :: reflexible
Dual of E26.1467
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 125 e = 250 f = 75
	degree seq :: [ 4^125 ]

E26.1472 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 10})
Quotient :: dipole
Aut^+ = ((C5 x C5) : C5) : C2 (small group id <250, 5>)
Aut   = $<500, 27>$ (small group id <500, 27>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^5, (R * Y2 * Y3^-1)^2, Y1 * Y2^-2 * Y1 * R * Y2^-2 * R, (R * Y2^2 * Y1)^2, (Y1 * Y2^2 * R * Y2^2 * R)^2, (Y2 * Y1 * Y2 * Y1 * Y2^-2 * Y1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1, Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^-1, Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-2 * R * Y2^-2 * R * Y2^-2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 251, 2, 252)(3, 253, 7, 257)(4, 254, 9, 259)(5, 255, 11, 261)(6, 256, 13, 263)(8, 258, 17, 267)(10, 260, 20, 270)(12, 262, 23, 273)(14, 264, 26, 276)(15, 265, 27, 277)(16, 266, 29, 279)(18, 268, 33, 283)(19, 269, 35, 285)(21, 271, 39, 289)(22, 272, 41, 291)(24, 274, 45, 295)(25, 275, 47, 297)(28, 278, 53, 303)(30, 280, 56, 306)(31, 281, 57, 307)(32, 282, 59, 309)(34, 284, 63, 313)(36, 286, 66, 316)(37, 287, 67, 317)(38, 288, 69, 319)(40, 290, 73, 323)(42, 292, 76, 326)(43, 293, 77, 327)(44, 294, 79, 329)(46, 296, 83, 333)(48, 298, 86, 336)(49, 299, 87, 337)(50, 300, 89, 339)(51, 301, 91, 341)(52, 302, 93, 343)(54, 304, 97, 347)(55, 305, 99, 349)(58, 308, 105, 355)(60, 310, 108, 358)(61, 311, 109, 359)(62, 312, 111, 361)(64, 314, 115, 365)(65, 315, 117, 367)(68, 318, 123, 373)(70, 320, 126, 376)(71, 321, 127, 377)(72, 322, 129, 379)(74, 324, 133, 383)(75, 325, 135, 385)(78, 328, 141, 391)(80, 330, 144, 394)(81, 331, 145, 395)(82, 332, 147, 397)(84, 334, 151, 401)(85, 335, 153, 403)(88, 338, 159, 409)(90, 340, 162, 412)(92, 342, 165, 415)(94, 344, 143, 393)(95, 345, 131, 381)(96, 346, 169, 419)(98, 348, 173, 423)(100, 350, 160, 410)(101, 351, 150, 400)(102, 352, 177, 427)(103, 353, 179, 429)(104, 354, 146, 396)(106, 356, 184, 434)(107, 357, 130, 380)(110, 360, 140, 390)(112, 362, 192, 442)(113, 363, 193, 443)(114, 364, 137, 387)(116, 366, 157, 407)(118, 368, 199, 449)(119, 369, 200, 450)(120, 370, 156, 406)(121, 371, 152, 402)(122, 372, 204, 454)(124, 374, 136, 386)(125, 375, 209, 459)(128, 378, 201, 451)(132, 382, 217, 467)(134, 384, 178, 428)(138, 388, 222, 472)(139, 389, 188, 438)(142, 392, 211, 461)(148, 398, 194, 444)(149, 399, 229, 479)(154, 404, 170, 420)(155, 405, 233, 483)(158, 408, 183, 433)(161, 411, 206, 456)(163, 413, 195, 445)(164, 414, 214, 464)(166, 416, 213, 463)(167, 417, 219, 469)(168, 418, 190, 440)(171, 421, 227, 477)(172, 422, 202, 452)(174, 424, 215, 465)(175, 425, 228, 478)(176, 426, 198, 448)(180, 430, 238, 488)(181, 431, 239, 489)(182, 432, 234, 484)(185, 435, 225, 475)(186, 436, 240, 490)(187, 437, 221, 471)(189, 439, 218, 468)(191, 441, 220, 470)(196, 446, 232, 482)(197, 447, 231, 481)(203, 453, 241, 491)(205, 455, 236, 486)(207, 457, 230, 480)(208, 458, 242, 492)(210, 460, 223, 473)(212, 462, 216, 466)(224, 474, 243, 493)(226, 476, 244, 494)(235, 485, 245, 495)(237, 487, 246, 496)(247, 497, 250, 500)(248, 498, 249, 499)(501, 751, 503, 753, 508, 758, 510, 760, 504, 754)(502, 752, 505, 755, 512, 762, 514, 764, 506, 756)(507, 757, 515, 765, 528, 778, 530, 780, 516, 766)(509, 759, 518, 768, 534, 784, 536, 786, 519, 769)(511, 761, 521, 771, 540, 790, 542, 792, 522, 772)(513, 763, 524, 774, 546, 796, 548, 798, 525, 775)(517, 767, 531, 781, 558, 808, 560, 810, 532, 782)(520, 770, 537, 787, 568, 818, 570, 820, 538, 788)(523, 773, 543, 793, 578, 828, 580, 830, 544, 794)(526, 776, 549, 799, 588, 838, 590, 840, 550, 800)(527, 777, 551, 801, 592, 842, 594, 844, 552, 802)(529, 779, 554, 804, 598, 848, 600, 850, 555, 805)(533, 783, 561, 811, 610, 860, 612, 862, 562, 812)(535, 785, 564, 814, 616, 866, 618, 868, 565, 815)(539, 789, 571, 821, 628, 878, 630, 880, 572, 822)(541, 791, 574, 824, 634, 884, 636, 886, 575, 825)(545, 795, 581, 831, 646, 896, 648, 898, 582, 832)(547, 797, 584, 834, 652, 902, 654, 904, 585, 835)(553, 803, 595, 845, 668, 918, 670, 920, 596, 846)(556, 806, 601, 851, 676, 926, 678, 928, 602, 852)(557, 807, 603, 853, 680, 930, 681, 931, 604, 854)(559, 809, 606, 856, 685, 935, 686, 936, 607, 857)(563, 813, 613, 863, 694, 944, 695, 945, 614, 864)(566, 816, 619, 869, 701, 951, 702, 952, 620, 870)(567, 817, 621, 871, 703, 953, 705, 955, 622, 872)(569, 819, 624, 874, 708, 958, 710, 960, 625, 875)(573, 823, 631, 881, 716, 966, 699, 949, 632, 882)(576, 826, 637, 887, 721, 971, 673, 923, 638, 888)(577, 827, 639, 889, 723, 973, 724, 974, 640, 890)(579, 829, 642, 892, 725, 975, 726, 976, 643, 893)(583, 833, 649, 899, 692, 942, 730, 980, 650, 900)(586, 836, 655, 905, 665, 915, 734, 984, 656, 906)(587, 837, 657, 907, 735, 985, 736, 986, 658, 908)(589, 839, 660, 910, 737, 987, 738, 988, 661, 911)(591, 841, 663, 913, 659, 909, 709, 959, 664, 914)(593, 843, 666, 916, 696, 946, 615, 865, 667, 917)(597, 847, 671, 921, 704, 954, 641, 891, 672, 922)(599, 849, 674, 924, 609, 859, 689, 939, 675, 925)(605, 855, 682, 932, 633, 883, 718, 968, 683, 933)(608, 858, 687, 937, 653, 903, 732, 982, 688, 938)(611, 861, 690, 940, 662, 912, 684, 934, 691, 941)(617, 867, 697, 947, 679, 929, 644, 894, 698, 948)(623, 873, 706, 956, 713, 963, 627, 877, 707, 957)(626, 876, 711, 961, 728, 978, 647, 897, 712, 962)(629, 879, 714, 964, 731, 981, 651, 901, 715, 965)(635, 885, 719, 969, 645, 895, 727, 977, 720, 970)(669, 919, 700, 950, 742, 992, 747, 997, 739, 989)(677, 927, 740, 990, 748, 998, 741, 991, 693, 943)(717, 967, 733, 983, 746, 996, 749, 999, 743, 993)(722, 972, 744, 994, 750, 1000, 745, 995, 729, 979)
	L = (1, 502)(2, 501)(3, 507)(4, 509)(5, 511)(6, 513)(7, 503)(8, 517)(9, 504)(10, 520)(11, 505)(12, 523)(13, 506)(14, 526)(15, 527)(16, 529)(17, 508)(18, 533)(19, 535)(20, 510)(21, 539)(22, 541)(23, 512)(24, 545)(25, 547)(26, 514)(27, 515)(28, 553)(29, 516)(30, 556)(31, 557)(32, 559)(33, 518)(34, 563)(35, 519)(36, 566)(37, 567)(38, 569)(39, 521)(40, 573)(41, 522)(42, 576)(43, 577)(44, 579)(45, 524)(46, 583)(47, 525)(48, 586)(49, 587)(50, 589)(51, 591)(52, 593)(53, 528)(54, 597)(55, 599)(56, 530)(57, 531)(58, 605)(59, 532)(60, 608)(61, 609)(62, 611)(63, 534)(64, 615)(65, 617)(66, 536)(67, 537)(68, 623)(69, 538)(70, 626)(71, 627)(72, 629)(73, 540)(74, 633)(75, 635)(76, 542)(77, 543)(78, 641)(79, 544)(80, 644)(81, 645)(82, 647)(83, 546)(84, 651)(85, 653)(86, 548)(87, 549)(88, 659)(89, 550)(90, 662)(91, 551)(92, 665)(93, 552)(94, 643)(95, 631)(96, 669)(97, 554)(98, 673)(99, 555)(100, 660)(101, 650)(102, 677)(103, 679)(104, 646)(105, 558)(106, 684)(107, 630)(108, 560)(109, 561)(110, 640)(111, 562)(112, 692)(113, 693)(114, 637)(115, 564)(116, 657)(117, 565)(118, 699)(119, 700)(120, 656)(121, 652)(122, 704)(123, 568)(124, 636)(125, 709)(126, 570)(127, 571)(128, 701)(129, 572)(130, 607)(131, 595)(132, 717)(133, 574)(134, 678)(135, 575)(136, 624)(137, 614)(138, 722)(139, 688)(140, 610)(141, 578)(142, 711)(143, 594)(144, 580)(145, 581)(146, 604)(147, 582)(148, 694)(149, 729)(150, 601)(151, 584)(152, 621)(153, 585)(154, 670)(155, 733)(156, 620)(157, 616)(158, 683)(159, 588)(160, 600)(161, 706)(162, 590)(163, 695)(164, 714)(165, 592)(166, 713)(167, 719)(168, 690)(169, 596)(170, 654)(171, 727)(172, 702)(173, 598)(174, 715)(175, 728)(176, 698)(177, 602)(178, 634)(179, 603)(180, 738)(181, 739)(182, 734)(183, 658)(184, 606)(185, 725)(186, 740)(187, 721)(188, 639)(189, 718)(190, 668)(191, 720)(192, 612)(193, 613)(194, 648)(195, 663)(196, 732)(197, 731)(198, 676)(199, 618)(200, 619)(201, 628)(202, 672)(203, 741)(204, 622)(205, 736)(206, 661)(207, 730)(208, 742)(209, 625)(210, 723)(211, 642)(212, 716)(213, 666)(214, 664)(215, 674)(216, 712)(217, 632)(218, 689)(219, 667)(220, 691)(221, 687)(222, 638)(223, 710)(224, 743)(225, 685)(226, 744)(227, 671)(228, 675)(229, 649)(230, 707)(231, 697)(232, 696)(233, 655)(234, 682)(235, 745)(236, 705)(237, 746)(238, 680)(239, 681)(240, 686)(241, 703)(242, 708)(243, 724)(244, 726)(245, 735)(246, 737)(247, 750)(248, 749)(249, 748)(250, 747)(251, 751)(252, 752)(253, 753)(254, 754)(255, 755)(256, 756)(257, 757)(258, 758)(259, 759)(260, 760)(261, 761)(262, 762)(263, 763)(264, 764)(265, 765)(266, 766)(267, 767)(268, 768)(269, 769)(270, 770)(271, 771)(272, 772)(273, 773)(274, 774)(275, 775)(276, 776)(277, 777)(278, 778)(279, 779)(280, 780)(281, 781)(282, 782)(283, 783)(284, 784)(285, 785)(286, 786)(287, 787)(288, 788)(289, 789)(290, 790)(291, 791)(292, 792)(293, 793)(294, 794)(295, 795)(296, 796)(297, 797)(298, 798)(299, 799)(300, 800)(301, 801)(302, 802)(303, 803)(304, 804)(305, 805)(306, 806)(307, 807)(308, 808)(309, 809)(310, 810)(311, 811)(312, 812)(313, 813)(314, 814)(315, 815)(316, 816)(317, 817)(318, 818)(319, 819)(320, 820)(321, 821)(322, 822)(323, 823)(324, 824)(325, 825)(326, 826)(327, 827)(328, 828)(329, 829)(330, 830)(331, 831)(332, 832)(333, 833)(334, 834)(335, 835)(336, 836)(337, 837)(338, 838)(339, 839)(340, 840)(341, 841)(342, 842)(343, 843)(344, 844)(345, 845)(346, 846)(347, 847)(348, 848)(349, 849)(350, 850)(351, 851)(352, 852)(353, 853)(354, 854)(355, 855)(356, 856)(357, 857)(358, 858)(359, 859)(360, 860)(361, 861)(362, 862)(363, 863)(364, 864)(365, 865)(366, 866)(367, 867)(368, 868)(369, 869)(370, 870)(371, 871)(372, 872)(373, 873)(374, 874)(375, 875)(376, 876)(377, 877)(378, 878)(379, 879)(380, 880)(381, 881)(382, 882)(383, 883)(384, 884)(385, 885)(386, 886)(387, 887)(388, 888)(389, 889)(390, 890)(391, 891)(392, 892)(393, 893)(394, 894)(395, 895)(396, 896)(397, 897)(398, 898)(399, 899)(400, 900)(401, 901)(402, 902)(403, 903)(404, 904)(405, 905)(406, 906)(407, 907)(408, 908)(409, 909)(410, 910)(411, 911)(412, 912)(413, 913)(414, 914)(415, 915)(416, 916)(417, 917)(418, 918)(419, 919)(420, 920)(421, 921)(422, 922)(423, 923)(424, 924)(425, 925)(426, 926)(427, 927)(428, 928)(429, 929)(430, 930)(431, 931)(432, 932)(433, 933)(434, 934)(435, 935)(436, 936)(437, 937)(438, 938)(439, 939)(440, 940)(441, 941)(442, 942)(443, 943)(444, 944)(445, 945)(446, 946)(447, 947)(448, 948)(449, 949)(450, 950)(451, 951)(452, 952)(453, 953)(454, 954)(455, 955)(456, 956)(457, 957)(458, 958)(459, 959)(460, 960)(461, 961)(462, 962)(463, 963)(464, 964)(465, 965)(466, 966)(467, 967)(468, 968)(469, 969)(470, 970)(471, 971)(472, 972)(473, 973)(474, 974)(475, 975)(476, 976)(477, 977)(478, 978)(479, 979)(480, 980)(481, 981)(482, 982)(483, 983)(484, 984)(485, 985)(486, 986)(487, 987)(488, 988)(489, 989)(490, 990)(491, 991)(492, 992)(493, 993)(494, 994)(495, 995)(496, 996)(497, 997)(498, 998)(499, 999)(500, 1000)
	local type(s) :: { ( 2, 20, 2, 20 ), ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.1475
Graph:: bipartite
	v = 175 e = 500 f = 275
	degree seq :: [ 4^125, 10^50 ]

E26.1473 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 10})
Quotient :: dipole
Aut^+ = ((C5 x C5) : C5) : C2 (small group id <250, 5>)
Aut   = $<500, 27>$ (small group id <500, 27>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^5, (Y2^3 * Y1^-2)^2, Y2^10, Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2 * Y1^-1, (Y2^2 * Y1^-1 * Y2 * Y1^-1)^2, Y2^-4 * Y1 * Y2^-1 * Y1^-2 * Y2 * Y1^2, Y2 * Y1 * Y2^-2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^-3 * Y1^-1, Y2 * Y1^-2 * Y2^2 * Y1 * Y2^-5 * Y1^-1, Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 ]
Map::
	R = (1, 251, 2, 252, 6, 256, 13, 263, 4, 254)(3, 253, 9, 259, 22, 272, 28, 278, 11, 261)(5, 255, 14, 264, 33, 283, 19, 269, 7, 257)(8, 258, 20, 270, 46, 296, 39, 289, 16, 266)(10, 260, 24, 274, 55, 305, 61, 311, 26, 276)(12, 262, 29, 279, 66, 316, 72, 322, 31, 281)(15, 265, 36, 286, 81, 331, 78, 328, 34, 284)(17, 267, 40, 290, 90, 340, 74, 324, 32, 282)(18, 268, 42, 292, 95, 345, 101, 351, 44, 294)(21, 271, 49, 299, 110, 360, 107, 357, 47, 297)(23, 273, 53, 303, 119, 369, 116, 366, 51, 301)(25, 275, 57, 307, 127, 377, 94, 344, 59, 309)(27, 277, 62, 312, 135, 385, 138, 388, 64, 314)(30, 280, 68, 318, 144, 394, 149, 399, 70, 320)(35, 285, 79, 329, 131, 381, 157, 407, 75, 325)(37, 287, 84, 334, 153, 403, 163, 413, 82, 332)(38, 288, 86, 336, 165, 415, 170, 420, 88, 338)(41, 291, 93, 343, 177, 427, 175, 425, 91, 341)(43, 293, 97, 347, 182, 432, 143, 393, 99, 349)(45, 295, 76, 326, 147, 397, 190, 440, 103, 353)(48, 298, 108, 358, 186, 436, 192, 442, 104, 354)(50, 300, 113, 363, 69, 319, 146, 396, 111, 361)(52, 302, 117, 367, 198, 448, 114, 364, 65, 315)(54, 304, 122, 372, 87, 337, 167, 417, 120, 370)(56, 306, 106, 356, 193, 443, 211, 461, 124, 374)(58, 308, 129, 379, 171, 421, 89, 339, 105, 355)(60, 310, 132, 382, 161, 411, 83, 333, 109, 359)(63, 313, 100, 350, 187, 437, 196, 446, 112, 362)(67, 317, 142, 392, 224, 474, 222, 472, 140, 390)(71, 321, 150, 400, 168, 418, 209, 459, 133, 383)(73, 323, 152, 402, 228, 478, 229, 479, 154, 404)(77, 327, 158, 408, 231, 481, 215, 465, 145, 395)(80, 330, 148, 398, 225, 475, 206, 456, 121, 371)(85, 335, 151, 401, 141, 391, 223, 473, 164, 414)(92, 342, 176, 426, 208, 458, 123, 373, 172, 422)(96, 346, 174, 424, 238, 488, 204, 454, 179, 429)(98, 348, 184, 434, 226, 476, 155, 405, 173, 423)(102, 352, 169, 419, 235, 485, 240, 490, 178, 428)(115, 365, 199, 449, 189, 439, 242, 492, 201, 451)(118, 368, 205, 455, 246, 496, 245, 495, 203, 453)(125, 375, 212, 462, 237, 487, 210, 460, 134, 384)(126, 376, 181, 431, 200, 450, 159, 409, 194, 444)(128, 378, 183, 433, 162, 412, 197, 447, 214, 464)(130, 380, 188, 438, 180, 430, 202, 452, 207, 457)(136, 386, 219, 469, 239, 489, 191, 441, 218, 468)(137, 387, 220, 470, 166, 416, 221, 471, 216, 466)(139, 389, 185, 435, 236, 486, 233, 483, 160, 410)(156, 406, 230, 480, 227, 477, 244, 494, 195, 445)(213, 463, 232, 482, 243, 493, 250, 500, 248, 498)(217, 467, 241, 491, 249, 499, 247, 497, 234, 484)(501, 751, 503, 753, 510, 760, 525, 775, 558, 808, 630, 880, 585, 835, 537, 787, 515, 765, 505, 755)(502, 752, 507, 757, 518, 768, 543, 793, 598, 848, 685, 935, 614, 864, 550, 800, 521, 771, 508, 758)(504, 754, 512, 762, 530, 780, 569, 819, 647, 897, 710, 960, 623, 873, 554, 804, 523, 773, 509, 759)(506, 756, 516, 766, 538, 788, 587, 837, 668, 918, 730, 980, 657, 907, 594, 844, 541, 791, 517, 767)(511, 761, 527, 777, 563, 813, 592, 842, 540, 790, 591, 841, 674, 924, 626, 876, 556, 806, 524, 774)(513, 763, 532, 782, 573, 823, 653, 903, 635, 885, 718, 968, 692, 942, 643, 893, 567, 817, 529, 779)(514, 764, 534, 784, 577, 827, 659, 909, 701, 951, 652, 902, 574, 824, 655, 905, 580, 830, 535, 785)(519, 769, 545, 795, 602, 852, 641, 891, 566, 816, 640, 890, 721, 971, 681, 931, 596, 846, 542, 792)(520, 770, 547, 797, 606, 856, 694, 944, 645, 895, 568, 818, 531, 781, 571, 821, 609, 859, 548, 798)(522, 772, 551, 801, 615, 865, 700, 950, 666, 916, 586, 836, 539, 789, 589, 839, 618, 868, 552, 802)(526, 776, 560, 810, 633, 883, 704, 954, 617, 867, 703, 953, 642, 892, 682, 932, 628, 878, 557, 807)(528, 778, 565, 815, 639, 889, 581, 831, 661, 911, 734, 984, 725, 975, 649, 899, 636, 886, 562, 812)(533, 783, 575, 825, 656, 906, 610, 860, 696, 946, 717, 967, 632, 882, 561, 811, 634, 884, 576, 826)(536, 786, 582, 832, 662, 912, 667, 917, 588, 838, 669, 919, 603, 853, 689, 939, 608, 858, 583, 833)(544, 794, 600, 850, 564, 814, 637, 887, 579, 829, 621, 871, 553, 803, 620, 870, 683, 933, 597, 847)(546, 796, 604, 854, 691, 941, 677, 927, 740, 990, 741, 991, 687, 937, 601, 851, 688, 938, 605, 855)(549, 799, 611, 861, 697, 947, 663, 913, 654, 904, 705, 955, 671, 921, 731, 981, 676, 926, 612, 862)(555, 805, 624, 874, 684, 934, 599, 849, 686, 936, 699, 949, 616, 866, 702, 952, 713, 963, 625, 875)(559, 809, 631, 881, 716, 966, 722, 972, 712, 962, 748, 998, 719, 969, 644, 894, 715, 965, 629, 879)(570, 820, 648, 898, 726, 976, 711, 961, 723, 973, 678, 928, 593, 843, 627, 877, 714, 964, 646, 896)(572, 822, 651, 901, 707, 957, 619, 869, 706, 956, 747, 997, 746, 996, 729, 979, 727, 977, 650, 900)(578, 828, 660, 910, 732, 982, 680, 930, 595, 845, 679, 929, 709, 959, 622, 872, 708, 958, 658, 908)(584, 834, 664, 914, 693, 943, 607, 857, 695, 945, 743, 993, 733, 983, 665, 915, 720, 970, 638, 888)(590, 840, 672, 922, 737, 987, 724, 974, 745, 995, 749, 999, 735, 985, 670, 920, 736, 986, 673, 923)(613, 863, 698, 948, 738, 988, 675, 925, 739, 989, 750, 1000, 744, 994, 728, 978, 742, 992, 690, 940)
	L = (1, 503)(2, 507)(3, 510)(4, 512)(5, 501)(6, 516)(7, 518)(8, 502)(9, 504)(10, 525)(11, 527)(12, 530)(13, 532)(14, 534)(15, 505)(16, 538)(17, 506)(18, 543)(19, 545)(20, 547)(21, 508)(22, 551)(23, 509)(24, 511)(25, 558)(26, 560)(27, 563)(28, 565)(29, 513)(30, 569)(31, 571)(32, 573)(33, 575)(34, 577)(35, 514)(36, 582)(37, 515)(38, 587)(39, 589)(40, 591)(41, 517)(42, 519)(43, 598)(44, 600)(45, 602)(46, 604)(47, 606)(48, 520)(49, 611)(50, 521)(51, 615)(52, 522)(53, 620)(54, 523)(55, 624)(56, 524)(57, 526)(58, 630)(59, 631)(60, 633)(61, 634)(62, 528)(63, 592)(64, 637)(65, 639)(66, 640)(67, 529)(68, 531)(69, 647)(70, 648)(71, 609)(72, 651)(73, 653)(74, 655)(75, 656)(76, 533)(77, 659)(78, 660)(79, 621)(80, 535)(81, 661)(82, 662)(83, 536)(84, 664)(85, 537)(86, 539)(87, 668)(88, 669)(89, 618)(90, 672)(91, 674)(92, 540)(93, 627)(94, 541)(95, 679)(96, 542)(97, 544)(98, 685)(99, 686)(100, 564)(101, 688)(102, 641)(103, 689)(104, 691)(105, 546)(106, 694)(107, 695)(108, 583)(109, 548)(110, 696)(111, 697)(112, 549)(113, 698)(114, 550)(115, 700)(116, 702)(117, 703)(118, 552)(119, 706)(120, 683)(121, 553)(122, 708)(123, 554)(124, 684)(125, 555)(126, 556)(127, 714)(128, 557)(129, 559)(130, 585)(131, 716)(132, 561)(133, 704)(134, 576)(135, 718)(136, 562)(137, 579)(138, 584)(139, 581)(140, 721)(141, 566)(142, 682)(143, 567)(144, 715)(145, 568)(146, 570)(147, 710)(148, 726)(149, 636)(150, 572)(151, 707)(152, 574)(153, 635)(154, 705)(155, 580)(156, 610)(157, 594)(158, 578)(159, 701)(160, 732)(161, 734)(162, 667)(163, 654)(164, 693)(165, 720)(166, 586)(167, 588)(168, 730)(169, 603)(170, 736)(171, 731)(172, 737)(173, 590)(174, 626)(175, 739)(176, 612)(177, 740)(178, 593)(179, 709)(180, 595)(181, 596)(182, 628)(183, 597)(184, 599)(185, 614)(186, 699)(187, 601)(188, 605)(189, 608)(190, 613)(191, 677)(192, 643)(193, 607)(194, 645)(195, 743)(196, 717)(197, 663)(198, 738)(199, 616)(200, 666)(201, 652)(202, 713)(203, 642)(204, 617)(205, 671)(206, 747)(207, 619)(208, 658)(209, 622)(210, 623)(211, 723)(212, 748)(213, 625)(214, 646)(215, 629)(216, 722)(217, 632)(218, 692)(219, 644)(220, 638)(221, 681)(222, 712)(223, 678)(224, 745)(225, 649)(226, 711)(227, 650)(228, 742)(229, 727)(230, 657)(231, 676)(232, 680)(233, 665)(234, 725)(235, 670)(236, 673)(237, 724)(238, 675)(239, 750)(240, 741)(241, 687)(242, 690)(243, 733)(244, 728)(245, 749)(246, 729)(247, 746)(248, 719)(249, 735)(250, 744)(251, 751)(252, 752)(253, 753)(254, 754)(255, 755)(256, 756)(257, 757)(258, 758)(259, 759)(260, 760)(261, 761)(262, 762)(263, 763)(264, 764)(265, 765)(266, 766)(267, 767)(268, 768)(269, 769)(270, 770)(271, 771)(272, 772)(273, 773)(274, 774)(275, 775)(276, 776)(277, 777)(278, 778)(279, 779)(280, 780)(281, 781)(282, 782)(283, 783)(284, 784)(285, 785)(286, 786)(287, 787)(288, 788)(289, 789)(290, 790)(291, 791)(292, 792)(293, 793)(294, 794)(295, 795)(296, 796)(297, 797)(298, 798)(299, 799)(300, 800)(301, 801)(302, 802)(303, 803)(304, 804)(305, 805)(306, 806)(307, 807)(308, 808)(309, 809)(310, 810)(311, 811)(312, 812)(313, 813)(314, 814)(315, 815)(316, 816)(317, 817)(318, 818)(319, 819)(320, 820)(321, 821)(322, 822)(323, 823)(324, 824)(325, 825)(326, 826)(327, 827)(328, 828)(329, 829)(330, 830)(331, 831)(332, 832)(333, 833)(334, 834)(335, 835)(336, 836)(337, 837)(338, 838)(339, 839)(340, 840)(341, 841)(342, 842)(343, 843)(344, 844)(345, 845)(346, 846)(347, 847)(348, 848)(349, 849)(350, 850)(351, 851)(352, 852)(353, 853)(354, 854)(355, 855)(356, 856)(357, 857)(358, 858)(359, 859)(360, 860)(361, 861)(362, 862)(363, 863)(364, 864)(365, 865)(366, 866)(367, 867)(368, 868)(369, 869)(370, 870)(371, 871)(372, 872)(373, 873)(374, 874)(375, 875)(376, 876)(377, 877)(378, 878)(379, 879)(380, 880)(381, 881)(382, 882)(383, 883)(384, 884)(385, 885)(386, 886)(387, 887)(388, 888)(389, 889)(390, 890)(391, 891)(392, 892)(393, 893)(394, 894)(395, 895)(396, 896)(397, 897)(398, 898)(399, 899)(400, 900)(401, 901)(402, 902)(403, 903)(404, 904)(405, 905)(406, 906)(407, 907)(408, 908)(409, 909)(410, 910)(411, 911)(412, 912)(413, 913)(414, 914)(415, 915)(416, 916)(417, 917)(418, 918)(419, 919)(420, 920)(421, 921)(422, 922)(423, 923)(424, 924)(425, 925)(426, 926)(427, 927)(428, 928)(429, 929)(430, 930)(431, 931)(432, 932)(433, 933)(434, 934)(435, 935)(436, 936)(437, 937)(438, 938)(439, 939)(440, 940)(441, 941)(442, 942)(443, 943)(444, 944)(445, 945)(446, 946)(447, 947)(448, 948)(449, 949)(450, 950)(451, 951)(452, 952)(453, 953)(454, 954)(455, 955)(456, 956)(457, 957)(458, 958)(459, 959)(460, 960)(461, 961)(462, 962)(463, 963)(464, 964)(465, 965)(466, 966)(467, 967)(468, 968)(469, 969)(470, 970)(471, 971)(472, 972)(473, 973)(474, 974)(475, 975)(476, 976)(477, 977)(478, 978)(479, 979)(480, 980)(481, 981)(482, 982)(483, 983)(484, 984)(485, 985)(486, 986)(487, 987)(488, 988)(489, 989)(490, 990)(491, 991)(492, 992)(493, 993)(494, 994)(495, 995)(496, 996)(497, 997)(498, 998)(499, 999)(500, 1000)
	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 E26.1474
Graph:: bipartite
	v = 75 e = 500 f = 375
	degree seq :: [ 10^50, 20^25 ]

E26.1474 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 10})
Quotient :: dipole
Aut^+ = ((C5 x C5) : C5) : C2 (small group id <250, 5>)
Aut   = $<500, 27>$ (small group id <500, 27>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^10, (Y3 * Y2)^5, Y3^-2 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1, (Y3 * Y2 * Y3^4 * Y2)^2, (Y3^2 * Y2 * Y3^3 * Y2)^2, (Y3^-1 * Y1^-1)^10 ]
Map:: polytopal
	R = (1, 251)(2, 252)(3, 253)(4, 254)(5, 255)(6, 256)(7, 257)(8, 258)(9, 259)(10, 260)(11, 261)(12, 262)(13, 263)(14, 264)(15, 265)(16, 266)(17, 267)(18, 268)(19, 269)(20, 270)(21, 271)(22, 272)(23, 273)(24, 274)(25, 275)(26, 276)(27, 277)(28, 278)(29, 279)(30, 280)(31, 281)(32, 282)(33, 283)(34, 284)(35, 285)(36, 286)(37, 287)(38, 288)(39, 289)(40, 290)(41, 291)(42, 292)(43, 293)(44, 294)(45, 295)(46, 296)(47, 297)(48, 298)(49, 299)(50, 300)(51, 301)(52, 302)(53, 303)(54, 304)(55, 305)(56, 306)(57, 307)(58, 308)(59, 309)(60, 310)(61, 311)(62, 312)(63, 313)(64, 314)(65, 315)(66, 316)(67, 317)(68, 318)(69, 319)(70, 320)(71, 321)(72, 322)(73, 323)(74, 324)(75, 325)(76, 326)(77, 327)(78, 328)(79, 329)(80, 330)(81, 331)(82, 332)(83, 333)(84, 334)(85, 335)(86, 336)(87, 337)(88, 338)(89, 339)(90, 340)(91, 341)(92, 342)(93, 343)(94, 344)(95, 345)(96, 346)(97, 347)(98, 348)(99, 349)(100, 350)(101, 351)(102, 352)(103, 353)(104, 354)(105, 355)(106, 356)(107, 357)(108, 358)(109, 359)(110, 360)(111, 361)(112, 362)(113, 363)(114, 364)(115, 365)(116, 366)(117, 367)(118, 368)(119, 369)(120, 370)(121, 371)(122, 372)(123, 373)(124, 374)(125, 375)(126, 376)(127, 377)(128, 378)(129, 379)(130, 380)(131, 381)(132, 382)(133, 383)(134, 384)(135, 385)(136, 386)(137, 387)(138, 388)(139, 389)(140, 390)(141, 391)(142, 392)(143, 393)(144, 394)(145, 395)(146, 396)(147, 397)(148, 398)(149, 399)(150, 400)(151, 401)(152, 402)(153, 403)(154, 404)(155, 405)(156, 406)(157, 407)(158, 408)(159, 409)(160, 410)(161, 411)(162, 412)(163, 413)(164, 414)(165, 415)(166, 416)(167, 417)(168, 418)(169, 419)(170, 420)(171, 421)(172, 422)(173, 423)(174, 424)(175, 425)(176, 426)(177, 427)(178, 428)(179, 429)(180, 430)(181, 431)(182, 432)(183, 433)(184, 434)(185, 435)(186, 436)(187, 437)(188, 438)(189, 439)(190, 440)(191, 441)(192, 442)(193, 443)(194, 444)(195, 445)(196, 446)(197, 447)(198, 448)(199, 449)(200, 450)(201, 451)(202, 452)(203, 453)(204, 454)(205, 455)(206, 456)(207, 457)(208, 458)(209, 459)(210, 460)(211, 461)(212, 462)(213, 463)(214, 464)(215, 465)(216, 466)(217, 467)(218, 468)(219, 469)(220, 470)(221, 471)(222, 472)(223, 473)(224, 474)(225, 475)(226, 476)(227, 477)(228, 478)(229, 479)(230, 480)(231, 481)(232, 482)(233, 483)(234, 484)(235, 485)(236, 486)(237, 487)(238, 488)(239, 489)(240, 490)(241, 491)(242, 492)(243, 493)(244, 494)(245, 495)(246, 496)(247, 497)(248, 498)(249, 499)(250, 500)(501, 751, 502, 752)(503, 753, 507, 757)(504, 754, 509, 759)(505, 755, 511, 761)(506, 756, 513, 763)(508, 758, 517, 767)(510, 760, 521, 771)(512, 762, 525, 775)(514, 764, 529, 779)(515, 765, 531, 781)(516, 766, 533, 783)(518, 768, 537, 787)(519, 769, 539, 789)(520, 770, 541, 791)(522, 772, 545, 795)(523, 773, 547, 797)(524, 774, 549, 799)(526, 776, 553, 803)(527, 777, 555, 805)(528, 778, 557, 807)(530, 780, 561, 811)(532, 782, 564, 814)(534, 784, 568, 818)(535, 785, 570, 820)(536, 786, 572, 822)(538, 788, 576, 826)(540, 790, 580, 830)(542, 792, 583, 833)(543, 793, 585, 835)(544, 794, 587, 837)(546, 796, 591, 841)(548, 798, 593, 843)(550, 800, 597, 847)(551, 801, 599, 849)(552, 802, 601, 851)(554, 804, 605, 855)(556, 806, 609, 859)(558, 808, 612, 862)(559, 809, 614, 864)(560, 810, 616, 866)(562, 812, 620, 870)(563, 813, 621, 871)(565, 815, 625, 875)(566, 816, 627, 877)(567, 817, 629, 879)(569, 819, 632, 882)(571, 821, 600, 850)(573, 823, 615, 865)(574, 824, 637, 887)(575, 825, 639, 889)(577, 827, 642, 892)(578, 828, 643, 893)(579, 829, 645, 895)(581, 831, 628, 878)(582, 832, 647, 897)(584, 834, 650, 900)(586, 836, 602, 852)(588, 838, 617, 867)(589, 839, 655, 905)(590, 840, 656, 906)(592, 842, 660, 910)(594, 844, 664, 914)(595, 845, 666, 916)(596, 846, 668, 918)(598, 848, 671, 921)(603, 853, 676, 926)(604, 854, 678, 928)(606, 856, 681, 931)(607, 857, 682, 932)(608, 858, 684, 934)(610, 860, 667, 917)(611, 861, 686, 936)(613, 863, 689, 939)(618, 868, 694, 944)(619, 869, 695, 945)(622, 872, 675, 925)(623, 873, 699, 949)(624, 874, 700, 950)(626, 876, 698, 948)(630, 880, 703, 953)(631, 881, 704, 954)(633, 883, 705, 955)(634, 884, 706, 956)(635, 885, 696, 946)(636, 886, 661, 911)(638, 888, 693, 943)(640, 890, 690, 940)(641, 891, 711, 961)(644, 894, 712, 962)(646, 896, 713, 963)(648, 898, 691, 941)(649, 899, 710, 960)(651, 901, 679, 929)(652, 902, 687, 937)(653, 903, 709, 959)(654, 904, 677, 927)(657, 907, 674, 924)(658, 908, 702, 952)(659, 909, 665, 915)(662, 912, 716, 966)(663, 913, 717, 967)(669, 919, 720, 970)(670, 920, 721, 971)(672, 922, 722, 972)(673, 923, 723, 973)(680, 930, 728, 978)(683, 933, 729, 979)(685, 935, 730, 980)(688, 938, 727, 977)(692, 942, 726, 976)(697, 947, 719, 969)(701, 951, 734, 984)(707, 957, 733, 983)(708, 958, 737, 987)(714, 964, 739, 989)(715, 965, 735, 985)(718, 968, 741, 991)(724, 974, 740, 990)(725, 975, 744, 994)(731, 981, 746, 996)(732, 982, 742, 992)(736, 986, 743, 993)(738, 988, 745, 995)(747, 997, 750, 1000)(748, 998, 749, 999)
	L = (1, 503)(2, 505)(3, 508)(4, 501)(5, 512)(6, 502)(7, 515)(8, 518)(9, 519)(10, 504)(11, 523)(12, 526)(13, 527)(14, 506)(15, 532)(16, 507)(17, 535)(18, 538)(19, 540)(20, 509)(21, 543)(22, 510)(23, 548)(24, 511)(25, 551)(26, 554)(27, 556)(28, 513)(29, 559)(30, 514)(31, 557)(32, 565)(33, 566)(34, 516)(35, 571)(36, 517)(37, 574)(38, 577)(39, 578)(40, 581)(41, 582)(42, 520)(43, 586)(44, 521)(45, 589)(46, 522)(47, 541)(48, 594)(49, 595)(50, 524)(51, 600)(52, 525)(53, 603)(54, 606)(55, 607)(56, 610)(57, 611)(58, 528)(59, 615)(60, 529)(61, 618)(62, 530)(63, 531)(64, 623)(65, 626)(66, 628)(67, 533)(68, 602)(69, 534)(70, 629)(71, 635)(72, 604)(73, 536)(74, 638)(75, 537)(76, 640)(77, 546)(78, 644)(79, 539)(80, 624)(81, 646)(82, 648)(83, 631)(84, 542)(85, 652)(86, 609)(87, 653)(88, 544)(89, 614)(90, 545)(91, 658)(92, 547)(93, 662)(94, 665)(95, 667)(96, 549)(97, 573)(98, 550)(99, 668)(100, 674)(101, 575)(102, 552)(103, 677)(104, 553)(105, 679)(106, 562)(107, 683)(108, 555)(109, 663)(110, 685)(111, 687)(112, 670)(113, 558)(114, 691)(115, 580)(116, 692)(117, 560)(118, 585)(119, 561)(120, 697)(121, 672)(122, 563)(123, 693)(124, 564)(125, 701)(126, 660)(127, 702)(128, 671)(129, 681)(130, 567)(131, 568)(132, 579)(133, 569)(134, 570)(135, 688)(136, 572)(137, 661)(138, 666)(139, 694)(140, 710)(141, 576)(142, 682)(143, 587)(144, 669)(145, 696)(146, 686)(147, 690)(148, 695)(149, 583)(150, 678)(151, 584)(152, 714)(153, 715)(154, 588)(155, 664)(156, 706)(157, 590)(158, 704)(159, 591)(160, 633)(161, 592)(162, 654)(163, 593)(164, 718)(165, 621)(166, 719)(167, 632)(168, 642)(169, 596)(170, 597)(171, 608)(172, 598)(173, 599)(174, 649)(175, 601)(176, 622)(177, 627)(178, 655)(179, 727)(180, 605)(181, 643)(182, 616)(183, 630)(184, 657)(185, 647)(186, 651)(187, 656)(188, 612)(189, 639)(190, 613)(191, 731)(192, 732)(193, 617)(194, 625)(195, 723)(196, 619)(197, 721)(198, 620)(199, 659)(200, 641)(201, 650)(202, 720)(203, 725)(204, 735)(205, 736)(206, 726)(207, 634)(208, 636)(209, 637)(210, 722)(211, 645)(212, 728)(213, 716)(214, 729)(215, 734)(216, 698)(217, 680)(218, 689)(219, 703)(220, 708)(221, 742)(222, 743)(223, 709)(224, 673)(225, 675)(226, 676)(227, 705)(228, 684)(229, 711)(230, 699)(231, 712)(232, 741)(233, 700)(234, 707)(235, 748)(236, 744)(237, 747)(238, 713)(239, 745)(240, 717)(241, 724)(242, 750)(243, 737)(244, 749)(245, 730)(246, 738)(247, 733)(248, 739)(249, 740)(250, 746)(251, 751)(252, 752)(253, 753)(254, 754)(255, 755)(256, 756)(257, 757)(258, 758)(259, 759)(260, 760)(261, 761)(262, 762)(263, 763)(264, 764)(265, 765)(266, 766)(267, 767)(268, 768)(269, 769)(270, 770)(271, 771)(272, 772)(273, 773)(274, 774)(275, 775)(276, 776)(277, 777)(278, 778)(279, 779)(280, 780)(281, 781)(282, 782)(283, 783)(284, 784)(285, 785)(286, 786)(287, 787)(288, 788)(289, 789)(290, 790)(291, 791)(292, 792)(293, 793)(294, 794)(295, 795)(296, 796)(297, 797)(298, 798)(299, 799)(300, 800)(301, 801)(302, 802)(303, 803)(304, 804)(305, 805)(306, 806)(307, 807)(308, 808)(309, 809)(310, 810)(311, 811)(312, 812)(313, 813)(314, 814)(315, 815)(316, 816)(317, 817)(318, 818)(319, 819)(320, 820)(321, 821)(322, 822)(323, 823)(324, 824)(325, 825)(326, 826)(327, 827)(328, 828)(329, 829)(330, 830)(331, 831)(332, 832)(333, 833)(334, 834)(335, 835)(336, 836)(337, 837)(338, 838)(339, 839)(340, 840)(341, 841)(342, 842)(343, 843)(344, 844)(345, 845)(346, 846)(347, 847)(348, 848)(349, 849)(350, 850)(351, 851)(352, 852)(353, 853)(354, 854)(355, 855)(356, 856)(357, 857)(358, 858)(359, 859)(360, 860)(361, 861)(362, 862)(363, 863)(364, 864)(365, 865)(366, 866)(367, 867)(368, 868)(369, 869)(370, 870)(371, 871)(372, 872)(373, 873)(374, 874)(375, 875)(376, 876)(377, 877)(378, 878)(379, 879)(380, 880)(381, 881)(382, 882)(383, 883)(384, 884)(385, 885)(386, 886)(387, 887)(388, 888)(389, 889)(390, 890)(391, 891)(392, 892)(393, 893)(394, 894)(395, 895)(396, 896)(397, 897)(398, 898)(399, 899)(400, 900)(401, 901)(402, 902)(403, 903)(404, 904)(405, 905)(406, 906)(407, 907)(408, 908)(409, 909)(410, 910)(411, 911)(412, 912)(413, 913)(414, 914)(415, 915)(416, 916)(417, 917)(418, 918)(419, 919)(420, 920)(421, 921)(422, 922)(423, 923)(424, 924)(425, 925)(426, 926)(427, 927)(428, 928)(429, 929)(430, 930)(431, 931)(432, 932)(433, 933)(434, 934)(435, 935)(436, 936)(437, 937)(438, 938)(439, 939)(440, 940)(441, 941)(442, 942)(443, 943)(444, 944)(445, 945)(446, 946)(447, 947)(448, 948)(449, 949)(450, 950)(451, 951)(452, 952)(453, 953)(454, 954)(455, 955)(456, 956)(457, 957)(458, 958)(459, 959)(460, 960)(461, 961)(462, 962)(463, 963)(464, 964)(465, 965)(466, 966)(467, 967)(468, 968)(469, 969)(470, 970)(471, 971)(472, 972)(473, 973)(474, 974)(475, 975)(476, 976)(477, 977)(478, 978)(479, 979)(480, 980)(481, 981)(482, 982)(483, 983)(484, 984)(485, 985)(486, 986)(487, 987)(488, 988)(489, 989)(490, 990)(491, 991)(492, 992)(493, 993)(494, 994)(495, 995)(496, 996)(497, 997)(498, 998)(499, 999)(500, 1000)
	local type(s) :: { ( 10, 20 ), ( 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.1473
Graph:: simple bipartite
	v = 375 e = 500 f = 75
	degree seq :: [ 2^250, 4^125 ]

E26.1475 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 10})
Quotient :: dipole
Aut^+ = ((C5 x C5) : C5) : C2 (small group id <250, 5>)
Aut   = $<500, 27>$ (small group id <500, 27>)
|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)^5, Y1^10, Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^-2 * Y3 * Y1^-2, Y3 * Y1^3 * Y3 * Y1^-2 * Y3 * Y1 * Y3 * Y1^-2, Y3 * Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-5 ]
Map:: polytopal
	R = (1, 251, 2, 252, 5, 255, 11, 261, 23, 273, 47, 297, 46, 296, 22, 272, 10, 260, 4, 254)(3, 253, 7, 257, 15, 265, 31, 281, 63, 313, 121, 371, 77, 327, 38, 288, 18, 268, 8, 258)(6, 256, 13, 263, 27, 277, 55, 305, 107, 357, 182, 432, 120, 370, 62, 312, 30, 280, 14, 264)(9, 259, 19, 269, 39, 289, 78, 328, 143, 393, 187, 437, 151, 401, 84, 334, 42, 292, 20, 270)(12, 262, 25, 275, 51, 301, 99, 349, 173, 423, 135, 385, 181, 431, 106, 356, 54, 304, 26, 276)(16, 266, 33, 283, 67, 317, 125, 375, 189, 439, 112, 362, 188, 438, 130, 380, 70, 320, 34, 284)(17, 267, 35, 285, 71, 321, 131, 381, 206, 456, 148, 398, 163, 413, 136, 386, 73, 323, 36, 286)(21, 271, 43, 293, 85, 335, 132, 382, 204, 454, 126, 376, 203, 453, 154, 404, 88, 338, 44, 294)(24, 274, 49, 299, 95, 345, 166, 416, 219, 469, 194, 444, 222, 472, 172, 422, 98, 348, 50, 300)(28, 278, 57, 307, 111, 361, 186, 436, 156, 406, 177, 427, 224, 474, 190, 440, 113, 363, 58, 308)(29, 279, 59, 309, 114, 364, 191, 441, 134, 384, 72, 322, 133, 383, 195, 445, 116, 366, 60, 310)(32, 282, 65, 315, 100, 350, 175, 425, 149, 399, 83, 333, 118, 368, 61, 311, 117, 367, 66, 316)(37, 287, 74, 324, 105, 355, 79, 329, 110, 360, 56, 306, 109, 359, 167, 417, 139, 389, 75, 325)(40, 290, 80, 330, 144, 394, 205, 455, 129, 379, 69, 319, 128, 378, 197, 447, 119, 369, 81, 331)(41, 291, 82, 332, 147, 397, 210, 460, 220, 470, 169, 419, 96, 346, 168, 418, 127, 377, 68, 318)(45, 295, 89, 339, 137, 387, 208, 458, 236, 486, 213, 463, 233, 483, 207, 457, 157, 407, 90, 340)(48, 298, 93, 343, 162, 412, 216, 466, 240, 490, 226, 476, 241, 491, 218, 468, 165, 415, 94, 344)(52, 302, 101, 351, 176, 426, 145, 395, 87, 337, 153, 403, 215, 465, 225, 475, 178, 428, 102, 352)(53, 303, 103, 353, 64, 314, 123, 373, 193, 443, 115, 365, 192, 442, 227, 477, 180, 430, 104, 354)(76, 326, 140, 390, 86, 336, 152, 402, 214, 464, 217, 467, 164, 414, 146, 396, 174, 424, 141, 391)(91, 341, 158, 408, 196, 446, 231, 481, 246, 496, 239, 489, 245, 495, 230, 480, 185, 435, 159, 409)(92, 342, 160, 410, 138, 388, 209, 459, 237, 487, 242, 492, 235, 485, 201, 451, 124, 374, 161, 411)(97, 347, 170, 420, 108, 358, 184, 434, 150, 400, 179, 429, 155, 405, 202, 452, 221, 471, 171, 421)(122, 372, 199, 449, 223, 473, 198, 448, 232, 482, 243, 493, 250, 500, 247, 497, 234, 484, 200, 450)(142, 392, 211, 461, 228, 478, 244, 494, 249, 499, 248, 498, 238, 488, 212, 462, 229, 479, 183, 433)(501, 751)(502, 752)(503, 753)(504, 754)(505, 755)(506, 756)(507, 757)(508, 758)(509, 759)(510, 760)(511, 761)(512, 762)(513, 763)(514, 764)(515, 765)(516, 766)(517, 767)(518, 768)(519, 769)(520, 770)(521, 771)(522, 772)(523, 773)(524, 774)(525, 775)(526, 776)(527, 777)(528, 778)(529, 779)(530, 780)(531, 781)(532, 782)(533, 783)(534, 784)(535, 785)(536, 786)(537, 787)(538, 788)(539, 789)(540, 790)(541, 791)(542, 792)(543, 793)(544, 794)(545, 795)(546, 796)(547, 797)(548, 798)(549, 799)(550, 800)(551, 801)(552, 802)(553, 803)(554, 804)(555, 805)(556, 806)(557, 807)(558, 808)(559, 809)(560, 810)(561, 811)(562, 812)(563, 813)(564, 814)(565, 815)(566, 816)(567, 817)(568, 818)(569, 819)(570, 820)(571, 821)(572, 822)(573, 823)(574, 824)(575, 825)(576, 826)(577, 827)(578, 828)(579, 829)(580, 830)(581, 831)(582, 832)(583, 833)(584, 834)(585, 835)(586, 836)(587, 837)(588, 838)(589, 839)(590, 840)(591, 841)(592, 842)(593, 843)(594, 844)(595, 845)(596, 846)(597, 847)(598, 848)(599, 849)(600, 850)(601, 851)(602, 852)(603, 853)(604, 854)(605, 855)(606, 856)(607, 857)(608, 858)(609, 859)(610, 860)(611, 861)(612, 862)(613, 863)(614, 864)(615, 865)(616, 866)(617, 867)(618, 868)(619, 869)(620, 870)(621, 871)(622, 872)(623, 873)(624, 874)(625, 875)(626, 876)(627, 877)(628, 878)(629, 879)(630, 880)(631, 881)(632, 882)(633, 883)(634, 884)(635, 885)(636, 886)(637, 887)(638, 888)(639, 889)(640, 890)(641, 891)(642, 892)(643, 893)(644, 894)(645, 895)(646, 896)(647, 897)(648, 898)(649, 899)(650, 900)(651, 901)(652, 902)(653, 903)(654, 904)(655, 905)(656, 906)(657, 907)(658, 908)(659, 909)(660, 910)(661, 911)(662, 912)(663, 913)(664, 914)(665, 915)(666, 916)(667, 917)(668, 918)(669, 919)(670, 920)(671, 921)(672, 922)(673, 923)(674, 924)(675, 925)(676, 926)(677, 927)(678, 928)(679, 929)(680, 930)(681, 931)(682, 932)(683, 933)(684, 934)(685, 935)(686, 936)(687, 937)(688, 938)(689, 939)(690, 940)(691, 941)(692, 942)(693, 943)(694, 944)(695, 945)(696, 946)(697, 947)(698, 948)(699, 949)(700, 950)(701, 951)(702, 952)(703, 953)(704, 954)(705, 955)(706, 956)(707, 957)(708, 958)(709, 959)(710, 960)(711, 961)(712, 962)(713, 963)(714, 964)(715, 965)(716, 966)(717, 967)(718, 968)(719, 969)(720, 970)(721, 971)(722, 972)(723, 973)(724, 974)(725, 975)(726, 976)(727, 977)(728, 978)(729, 979)(730, 980)(731, 981)(732, 982)(733, 983)(734, 984)(735, 985)(736, 986)(737, 987)(738, 988)(739, 989)(740, 990)(741, 991)(742, 992)(743, 993)(744, 994)(745, 995)(746, 996)(747, 997)(748, 998)(749, 999)(750, 1000)
	L = (1, 503)(2, 506)(3, 501)(4, 509)(5, 512)(6, 502)(7, 516)(8, 517)(9, 504)(10, 521)(11, 524)(12, 505)(13, 528)(14, 529)(15, 532)(16, 507)(17, 508)(18, 537)(19, 540)(20, 541)(21, 510)(22, 545)(23, 548)(24, 511)(25, 552)(26, 553)(27, 556)(28, 513)(29, 514)(30, 561)(31, 564)(32, 515)(33, 568)(34, 569)(35, 572)(36, 557)(37, 518)(38, 576)(39, 579)(40, 519)(41, 520)(42, 583)(43, 586)(44, 587)(45, 522)(46, 591)(47, 592)(48, 523)(49, 596)(50, 597)(51, 600)(52, 525)(53, 526)(54, 605)(55, 608)(56, 527)(57, 536)(58, 612)(59, 615)(60, 601)(61, 530)(62, 619)(63, 622)(64, 531)(65, 624)(66, 598)(67, 626)(68, 533)(69, 534)(70, 606)(71, 632)(72, 535)(73, 635)(74, 637)(75, 638)(76, 538)(77, 642)(78, 614)(79, 539)(80, 645)(81, 646)(82, 648)(83, 542)(84, 650)(85, 617)(86, 543)(87, 544)(88, 639)(89, 655)(90, 656)(91, 546)(92, 547)(93, 663)(94, 664)(95, 667)(96, 549)(97, 550)(98, 566)(99, 674)(100, 551)(101, 560)(102, 677)(103, 679)(104, 668)(105, 554)(106, 570)(107, 683)(108, 555)(109, 685)(110, 665)(111, 687)(112, 558)(113, 672)(114, 578)(115, 559)(116, 694)(117, 585)(118, 696)(119, 562)(120, 698)(121, 676)(122, 563)(123, 690)(124, 565)(125, 702)(126, 567)(127, 682)(128, 666)(129, 661)(130, 691)(131, 697)(132, 571)(133, 660)(134, 707)(135, 573)(136, 671)(137, 574)(138, 575)(139, 588)(140, 670)(141, 710)(142, 577)(143, 712)(144, 713)(145, 580)(146, 581)(147, 708)(148, 582)(149, 662)(150, 584)(151, 699)(152, 686)(153, 669)(154, 693)(155, 589)(156, 590)(157, 675)(158, 692)(159, 689)(160, 633)(161, 629)(162, 649)(163, 593)(164, 594)(165, 610)(166, 628)(167, 595)(168, 604)(169, 653)(170, 640)(171, 636)(172, 613)(173, 723)(174, 599)(175, 657)(176, 621)(177, 602)(178, 718)(179, 603)(180, 726)(181, 728)(182, 627)(183, 607)(184, 725)(185, 609)(186, 652)(187, 611)(188, 716)(189, 659)(190, 623)(191, 630)(192, 658)(193, 654)(194, 616)(195, 717)(196, 618)(197, 631)(198, 620)(199, 651)(200, 733)(201, 720)(202, 625)(203, 729)(204, 734)(205, 727)(206, 730)(207, 634)(208, 647)(209, 724)(210, 641)(211, 719)(212, 643)(213, 644)(214, 739)(215, 731)(216, 688)(217, 695)(218, 678)(219, 711)(220, 701)(221, 742)(222, 743)(223, 673)(224, 709)(225, 684)(226, 680)(227, 705)(228, 681)(229, 703)(230, 706)(231, 715)(232, 740)(233, 700)(234, 704)(235, 747)(236, 748)(237, 744)(238, 745)(239, 714)(240, 732)(241, 749)(242, 721)(243, 722)(244, 737)(245, 738)(246, 750)(247, 735)(248, 736)(249, 741)(250, 746)(251, 751)(252, 752)(253, 753)(254, 754)(255, 755)(256, 756)(257, 757)(258, 758)(259, 759)(260, 760)(261, 761)(262, 762)(263, 763)(264, 764)(265, 765)(266, 766)(267, 767)(268, 768)(269, 769)(270, 770)(271, 771)(272, 772)(273, 773)(274, 774)(275, 775)(276, 776)(277, 777)(278, 778)(279, 779)(280, 780)(281, 781)(282, 782)(283, 783)(284, 784)(285, 785)(286, 786)(287, 787)(288, 788)(289, 789)(290, 790)(291, 791)(292, 792)(293, 793)(294, 794)(295, 795)(296, 796)(297, 797)(298, 798)(299, 799)(300, 800)(301, 801)(302, 802)(303, 803)(304, 804)(305, 805)(306, 806)(307, 807)(308, 808)(309, 809)(310, 810)(311, 811)(312, 812)(313, 813)(314, 814)(315, 815)(316, 816)(317, 817)(318, 818)(319, 819)(320, 820)(321, 821)(322, 822)(323, 823)(324, 824)(325, 825)(326, 826)(327, 827)(328, 828)(329, 829)(330, 830)(331, 831)(332, 832)(333, 833)(334, 834)(335, 835)(336, 836)(337, 837)(338, 838)(339, 839)(340, 840)(341, 841)(342, 842)(343, 843)(344, 844)(345, 845)(346, 846)(347, 847)(348, 848)(349, 849)(350, 850)(351, 851)(352, 852)(353, 853)(354, 854)(355, 855)(356, 856)(357, 857)(358, 858)(359, 859)(360, 860)(361, 861)(362, 862)(363, 863)(364, 864)(365, 865)(366, 866)(367, 867)(368, 868)(369, 869)(370, 870)(371, 871)(372, 872)(373, 873)(374, 874)(375, 875)(376, 876)(377, 877)(378, 878)(379, 879)(380, 880)(381, 881)(382, 882)(383, 883)(384, 884)(385, 885)(386, 886)(387, 887)(388, 888)(389, 889)(390, 890)(391, 891)(392, 892)(393, 893)(394, 894)(395, 895)(396, 896)(397, 897)(398, 898)(399, 899)(400, 900)(401, 901)(402, 902)(403, 903)(404, 904)(405, 905)(406, 906)(407, 907)(408, 908)(409, 909)(410, 910)(411, 911)(412, 912)(413, 913)(414, 914)(415, 915)(416, 916)(417, 917)(418, 918)(419, 919)(420, 920)(421, 921)(422, 922)(423, 923)(424, 924)(425, 925)(426, 926)(427, 927)(428, 928)(429, 929)(430, 930)(431, 931)(432, 932)(433, 933)(434, 934)(435, 935)(436, 936)(437, 937)(438, 938)(439, 939)(440, 940)(441, 941)(442, 942)(443, 943)(444, 944)(445, 945)(446, 946)(447, 947)(448, 948)(449, 949)(450, 950)(451, 951)(452, 952)(453, 953)(454, 954)(455, 955)(456, 956)(457, 957)(458, 958)(459, 959)(460, 960)(461, 961)(462, 962)(463, 963)(464, 964)(465, 965)(466, 966)(467, 967)(468, 968)(469, 969)(470, 970)(471, 971)(472, 972)(473, 973)(474, 974)(475, 975)(476, 976)(477, 977)(478, 978)(479, 979)(480, 980)(481, 981)(482, 982)(483, 983)(484, 984)(485, 985)(486, 986)(487, 987)(488, 988)(489, 989)(490, 990)(491, 991)(492, 992)(493, 993)(494, 994)(495, 995)(496, 996)(497, 997)(498, 998)(499, 999)(500, 1000)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1472
Graph:: simple bipartite
	v = 275 e = 500 f = 175
	degree seq :: [ 2^250, 20^25 ]

E26.1476 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 10})
Quotient :: dipole
Aut^+ = ((C5 x C5) : C5) : C2 (small group id <250, 5>)
Aut   = $<500, 27>$ (small group id <500, 27>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2^-1)^5, (R * Y2^3 * Y1)^2, (Y3 * Y2^-1)^5, Y2^10, Y2^2 * Y1 * Y2^-3 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1, Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^-1, Y2^2 * Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2^5 * Y1, Y2^3 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^3 * Y1 ]
Map::
	R = (1, 251, 2, 252)(3, 253, 7, 257)(4, 254, 9, 259)(5, 255, 11, 261)(6, 256, 13, 263)(8, 258, 17, 267)(10, 260, 21, 271)(12, 262, 25, 275)(14, 264, 29, 279)(15, 265, 31, 281)(16, 266, 33, 283)(18, 268, 37, 287)(19, 269, 39, 289)(20, 270, 41, 291)(22, 272, 45, 295)(23, 273, 47, 297)(24, 274, 49, 299)(26, 276, 53, 303)(27, 277, 55, 305)(28, 278, 57, 307)(30, 280, 61, 311)(32, 282, 64, 314)(34, 284, 68, 318)(35, 285, 70, 320)(36, 286, 72, 322)(38, 288, 76, 326)(40, 290, 80, 330)(42, 292, 83, 333)(43, 293, 85, 335)(44, 294, 87, 337)(46, 296, 91, 341)(48, 298, 93, 343)(50, 300, 97, 347)(51, 301, 99, 349)(52, 302, 101, 351)(54, 304, 105, 355)(56, 306, 109, 359)(58, 308, 112, 362)(59, 309, 114, 364)(60, 310, 116, 366)(62, 312, 120, 370)(63, 313, 121, 371)(65, 315, 125, 375)(66, 316, 127, 377)(67, 317, 129, 379)(69, 319, 132, 382)(71, 321, 100, 350)(73, 323, 115, 365)(74, 324, 137, 387)(75, 325, 139, 389)(77, 327, 142, 392)(78, 328, 143, 393)(79, 329, 145, 395)(81, 331, 128, 378)(82, 332, 147, 397)(84, 334, 150, 400)(86, 336, 102, 352)(88, 338, 117, 367)(89, 339, 155, 405)(90, 340, 156, 406)(92, 342, 160, 410)(94, 344, 164, 414)(95, 345, 166, 416)(96, 346, 168, 418)(98, 348, 171, 421)(103, 353, 176, 426)(104, 354, 178, 428)(106, 356, 181, 431)(107, 357, 182, 432)(108, 358, 184, 434)(110, 360, 167, 417)(111, 361, 186, 436)(113, 363, 189, 439)(118, 368, 194, 444)(119, 369, 195, 445)(122, 372, 175, 425)(123, 373, 199, 449)(124, 374, 200, 450)(126, 376, 198, 448)(130, 380, 203, 453)(131, 381, 204, 454)(133, 383, 205, 455)(134, 384, 206, 456)(135, 385, 196, 446)(136, 386, 161, 411)(138, 388, 193, 443)(140, 390, 190, 440)(141, 391, 211, 461)(144, 394, 212, 462)(146, 396, 213, 463)(148, 398, 191, 441)(149, 399, 210, 460)(151, 401, 179, 429)(152, 402, 187, 437)(153, 403, 209, 459)(154, 404, 177, 427)(157, 407, 174, 424)(158, 408, 202, 452)(159, 409, 165, 415)(162, 412, 216, 466)(163, 413, 217, 467)(169, 419, 220, 470)(170, 420, 221, 471)(172, 422, 222, 472)(173, 423, 223, 473)(180, 430, 228, 478)(183, 433, 229, 479)(185, 435, 230, 480)(188, 438, 227, 477)(192, 442, 226, 476)(197, 447, 219, 469)(201, 451, 234, 484)(207, 457, 233, 483)(208, 458, 237, 487)(214, 464, 239, 489)(215, 465, 235, 485)(218, 468, 241, 491)(224, 474, 240, 490)(225, 475, 244, 494)(231, 481, 246, 496)(232, 482, 242, 492)(236, 486, 243, 493)(238, 488, 245, 495)(247, 497, 250, 500)(248, 498, 249, 499)(501, 751, 503, 753, 508, 758, 518, 768, 538, 788, 577, 827, 546, 796, 522, 772, 510, 760, 504, 754)(502, 752, 505, 755, 512, 762, 526, 776, 554, 804, 606, 856, 562, 812, 530, 780, 514, 764, 506, 756)(507, 757, 515, 765, 532, 782, 565, 815, 626, 876, 660, 910, 633, 883, 569, 819, 534, 784, 516, 766)(509, 759, 519, 769, 540, 790, 581, 831, 646, 896, 686, 936, 651, 901, 584, 834, 542, 792, 520, 770)(511, 761, 523, 773, 548, 798, 594, 844, 665, 915, 621, 871, 672, 922, 598, 848, 550, 800, 524, 774)(513, 763, 527, 777, 556, 806, 610, 860, 685, 935, 647, 897, 690, 940, 613, 863, 558, 808, 528, 778)(517, 767, 535, 785, 571, 821, 635, 885, 688, 938, 612, 862, 670, 920, 597, 847, 573, 823, 536, 786)(521, 771, 543, 793, 586, 836, 609, 859, 663, 913, 593, 843, 662, 912, 654, 904, 588, 838, 544, 794)(525, 775, 551, 801, 600, 850, 674, 924, 649, 899, 583, 833, 631, 881, 568, 818, 602, 852, 552, 802)(529, 779, 559, 809, 615, 865, 580, 830, 624, 874, 564, 814, 623, 873, 693, 943, 617, 867, 560, 810)(531, 781, 557, 807, 611, 861, 687, 937, 656, 906, 706, 956, 726, 976, 676, 926, 622, 872, 563, 813)(533, 783, 566, 816, 628, 878, 671, 921, 608, 858, 555, 805, 607, 857, 683, 933, 630, 880, 567, 817)(537, 787, 574, 824, 638, 888, 666, 916, 719, 969, 703, 953, 725, 975, 675, 925, 601, 851, 575, 825)(539, 789, 578, 828, 644, 894, 669, 919, 596, 846, 549, 799, 595, 845, 667, 917, 632, 882, 579, 829)(541, 791, 582, 832, 648, 898, 695, 945, 723, 973, 709, 959, 637, 887, 661, 911, 592, 842, 547, 797)(545, 795, 589, 839, 614, 864, 691, 941, 731, 981, 712, 962, 728, 978, 684, 934, 657, 907, 590, 840)(553, 803, 603, 853, 677, 927, 627, 877, 702, 952, 720, 970, 708, 958, 636, 886, 572, 822, 604, 854)(561, 811, 618, 868, 585, 835, 652, 902, 714, 964, 729, 979, 711, 961, 645, 895, 696, 946, 619, 869)(570, 820, 629, 879, 681, 931, 643, 893, 587, 837, 653, 903, 715, 965, 734, 984, 707, 957, 634, 884)(576, 826, 640, 890, 710, 960, 722, 972, 743, 993, 737, 987, 747, 997, 733, 983, 700, 950, 641, 891)(591, 841, 658, 908, 704, 954, 735, 985, 748, 998, 739, 989, 745, 995, 730, 980, 699, 949, 659, 909)(599, 849, 668, 918, 642, 892, 682, 932, 616, 866, 692, 942, 732, 982, 741, 991, 724, 974, 673, 923)(605, 855, 679, 929, 727, 977, 705, 955, 736, 986, 744, 994, 749, 999, 740, 990, 717, 967, 680, 930)(620, 870, 697, 947, 721, 971, 742, 992, 750, 1000, 746, 996, 738, 988, 713, 963, 716, 966, 698, 948)(625, 875, 701, 951, 650, 900, 678, 928, 655, 905, 664, 914, 718, 968, 689, 939, 639, 889, 694, 944)
	L = (1, 502)(2, 501)(3, 507)(4, 509)(5, 511)(6, 513)(7, 503)(8, 517)(9, 504)(10, 521)(11, 505)(12, 525)(13, 506)(14, 529)(15, 531)(16, 533)(17, 508)(18, 537)(19, 539)(20, 541)(21, 510)(22, 545)(23, 547)(24, 549)(25, 512)(26, 553)(27, 555)(28, 557)(29, 514)(30, 561)(31, 515)(32, 564)(33, 516)(34, 568)(35, 570)(36, 572)(37, 518)(38, 576)(39, 519)(40, 580)(41, 520)(42, 583)(43, 585)(44, 587)(45, 522)(46, 591)(47, 523)(48, 593)(49, 524)(50, 597)(51, 599)(52, 601)(53, 526)(54, 605)(55, 527)(56, 609)(57, 528)(58, 612)(59, 614)(60, 616)(61, 530)(62, 620)(63, 621)(64, 532)(65, 625)(66, 627)(67, 629)(68, 534)(69, 632)(70, 535)(71, 600)(72, 536)(73, 615)(74, 637)(75, 639)(76, 538)(77, 642)(78, 643)(79, 645)(80, 540)(81, 628)(82, 647)(83, 542)(84, 650)(85, 543)(86, 602)(87, 544)(88, 617)(89, 655)(90, 656)(91, 546)(92, 660)(93, 548)(94, 664)(95, 666)(96, 668)(97, 550)(98, 671)(99, 551)(100, 571)(101, 552)(102, 586)(103, 676)(104, 678)(105, 554)(106, 681)(107, 682)(108, 684)(109, 556)(110, 667)(111, 686)(112, 558)(113, 689)(114, 559)(115, 573)(116, 560)(117, 588)(118, 694)(119, 695)(120, 562)(121, 563)(122, 675)(123, 699)(124, 700)(125, 565)(126, 698)(127, 566)(128, 581)(129, 567)(130, 703)(131, 704)(132, 569)(133, 705)(134, 706)(135, 696)(136, 661)(137, 574)(138, 693)(139, 575)(140, 690)(141, 711)(142, 577)(143, 578)(144, 712)(145, 579)(146, 713)(147, 582)(148, 691)(149, 710)(150, 584)(151, 679)(152, 687)(153, 709)(154, 677)(155, 589)(156, 590)(157, 674)(158, 702)(159, 665)(160, 592)(161, 636)(162, 716)(163, 717)(164, 594)(165, 659)(166, 595)(167, 610)(168, 596)(169, 720)(170, 721)(171, 598)(172, 722)(173, 723)(174, 657)(175, 622)(176, 603)(177, 654)(178, 604)(179, 651)(180, 728)(181, 606)(182, 607)(183, 729)(184, 608)(185, 730)(186, 611)(187, 652)(188, 727)(189, 613)(190, 640)(191, 648)(192, 726)(193, 638)(194, 618)(195, 619)(196, 635)(197, 719)(198, 626)(199, 623)(200, 624)(201, 734)(202, 658)(203, 630)(204, 631)(205, 633)(206, 634)(207, 733)(208, 737)(209, 653)(210, 649)(211, 641)(212, 644)(213, 646)(214, 739)(215, 735)(216, 662)(217, 663)(218, 741)(219, 697)(220, 669)(221, 670)(222, 672)(223, 673)(224, 740)(225, 744)(226, 692)(227, 688)(228, 680)(229, 683)(230, 685)(231, 746)(232, 742)(233, 707)(234, 701)(235, 715)(236, 743)(237, 708)(238, 745)(239, 714)(240, 724)(241, 718)(242, 732)(243, 736)(244, 725)(245, 738)(246, 731)(247, 750)(248, 749)(249, 748)(250, 747)(251, 751)(252, 752)(253, 753)(254, 754)(255, 755)(256, 756)(257, 757)(258, 758)(259, 759)(260, 760)(261, 761)(262, 762)(263, 763)(264, 764)(265, 765)(266, 766)(267, 767)(268, 768)(269, 769)(270, 770)(271, 771)(272, 772)(273, 773)(274, 774)(275, 775)(276, 776)(277, 777)(278, 778)(279, 779)(280, 780)(281, 781)(282, 782)(283, 783)(284, 784)(285, 785)(286, 786)(287, 787)(288, 788)(289, 789)(290, 790)(291, 791)(292, 792)(293, 793)(294, 794)(295, 795)(296, 796)(297, 797)(298, 798)(299, 799)(300, 800)(301, 801)(302, 802)(303, 803)(304, 804)(305, 805)(306, 806)(307, 807)(308, 808)(309, 809)(310, 810)(311, 811)(312, 812)(313, 813)(314, 814)(315, 815)(316, 816)(317, 817)(318, 818)(319, 819)(320, 820)(321, 821)(322, 822)(323, 823)(324, 824)(325, 825)(326, 826)(327, 827)(328, 828)(329, 829)(330, 830)(331, 831)(332, 832)(333, 833)(334, 834)(335, 835)(336, 836)(337, 837)(338, 838)(339, 839)(340, 840)(341, 841)(342, 842)(343, 843)(344, 844)(345, 845)(346, 846)(347, 847)(348, 848)(349, 849)(350, 850)(351, 851)(352, 852)(353, 853)(354, 854)(355, 855)(356, 856)(357, 857)(358, 858)(359, 859)(360, 860)(361, 861)(362, 862)(363, 863)(364, 864)(365, 865)(366, 866)(367, 867)(368, 868)(369, 869)(370, 870)(371, 871)(372, 872)(373, 873)(374, 874)(375, 875)(376, 876)(377, 877)(378, 878)(379, 879)(380, 880)(381, 881)(382, 882)(383, 883)(384, 884)(385, 885)(386, 886)(387, 887)(388, 888)(389, 889)(390, 890)(391, 891)(392, 892)(393, 893)(394, 894)(395, 895)(396, 896)(397, 897)(398, 898)(399, 899)(400, 900)(401, 901)(402, 902)(403, 903)(404, 904)(405, 905)(406, 906)(407, 907)(408, 908)(409, 909)(410, 910)(411, 911)(412, 912)(413, 913)(414, 914)(415, 915)(416, 916)(417, 917)(418, 918)(419, 919)(420, 920)(421, 921)(422, 922)(423, 923)(424, 924)(425, 925)(426, 926)(427, 927)(428, 928)(429, 929)(430, 930)(431, 931)(432, 932)(433, 933)(434, 934)(435, 935)(436, 936)(437, 937)(438, 938)(439, 939)(440, 940)(441, 941)(442, 942)(443, 943)(444, 944)(445, 945)(446, 946)(447, 947)(448, 948)(449, 949)(450, 950)(451, 951)(452, 952)(453, 953)(454, 954)(455, 955)(456, 956)(457, 957)(458, 958)(459, 959)(460, 960)(461, 961)(462, 962)(463, 963)(464, 964)(465, 965)(466, 966)(467, 967)(468, 968)(469, 969)(470, 970)(471, 971)(472, 972)(473, 973)(474, 974)(475, 975)(476, 976)(477, 977)(478, 978)(479, 979)(480, 980)(481, 981)(482, 982)(483, 983)(484, 984)(485, 985)(486, 986)(487, 987)(488, 988)(489, 989)(490, 990)(491, 991)(492, 992)(493, 993)(494, 994)(495, 995)(496, 996)(497, 997)(498, 998)(499, 999)(500, 1000)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1477
Graph:: bipartite
	v = 150 e = 500 f = 300
	degree seq :: [ 4^125, 20^25 ]

E26.1477 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 10})
Quotient :: dipole
Aut^+ = ((C5 x C5) : C5) : C2 (small group id <250, 5>)
Aut   = $<500, 27>$ (small group id <500, 27>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1^5, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-2 * Y1 * Y3^-1 * Y1 * Y3^2 * Y1^-1 * Y3, Y1^2 * Y3^-1 * Y1 * Y3^-4 * Y1 * Y3^-1, (Y3^3 * Y1^-2)^2, Y3 * Y1 * Y3^-2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^-3 * Y1^-1, Y3 * Y1^-2 * Y3^2 * Y1 * Y3^-5 * Y1^-1, Y1 * Y3^-1 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1, (Y3 * Y2^-1)^10 ]
Map:: polytopal
	R = (1, 251, 2, 252, 6, 256, 13, 263, 4, 254)(3, 253, 9, 259, 22, 272, 28, 278, 11, 261)(5, 255, 14, 264, 33, 283, 19, 269, 7, 257)(8, 258, 20, 270, 46, 296, 39, 289, 16, 266)(10, 260, 24, 274, 55, 305, 61, 311, 26, 276)(12, 262, 29, 279, 66, 316, 72, 322, 31, 281)(15, 265, 36, 286, 81, 331, 78, 328, 34, 284)(17, 267, 40, 290, 90, 340, 74, 324, 32, 282)(18, 268, 42, 292, 95, 345, 101, 351, 44, 294)(21, 271, 49, 299, 110, 360, 107, 357, 47, 297)(23, 273, 53, 303, 119, 369, 116, 366, 51, 301)(25, 275, 57, 307, 127, 377, 94, 344, 59, 309)(27, 277, 62, 312, 135, 385, 138, 388, 64, 314)(30, 280, 68, 318, 144, 394, 149, 399, 70, 320)(35, 285, 79, 329, 131, 381, 157, 407, 75, 325)(37, 287, 84, 334, 153, 403, 163, 413, 82, 332)(38, 288, 86, 336, 165, 415, 170, 420, 88, 338)(41, 291, 93, 343, 177, 427, 175, 425, 91, 341)(43, 293, 97, 347, 182, 432, 143, 393, 99, 349)(45, 295, 76, 326, 147, 397, 190, 440, 103, 353)(48, 298, 108, 358, 186, 436, 192, 442, 104, 354)(50, 300, 113, 363, 69, 319, 146, 396, 111, 361)(52, 302, 117, 367, 198, 448, 114, 364, 65, 315)(54, 304, 122, 372, 87, 337, 167, 417, 120, 370)(56, 306, 106, 356, 193, 443, 211, 461, 124, 374)(58, 308, 129, 379, 171, 421, 89, 339, 105, 355)(60, 310, 132, 382, 161, 411, 83, 333, 109, 359)(63, 313, 100, 350, 187, 437, 196, 446, 112, 362)(67, 317, 142, 392, 224, 474, 222, 472, 140, 390)(71, 321, 150, 400, 168, 418, 209, 459, 133, 383)(73, 323, 152, 402, 228, 478, 229, 479, 154, 404)(77, 327, 158, 408, 231, 481, 215, 465, 145, 395)(80, 330, 148, 398, 225, 475, 206, 456, 121, 371)(85, 335, 151, 401, 141, 391, 223, 473, 164, 414)(92, 342, 176, 426, 208, 458, 123, 373, 172, 422)(96, 346, 174, 424, 238, 488, 204, 454, 179, 429)(98, 348, 184, 434, 226, 476, 155, 405, 173, 423)(102, 352, 169, 419, 235, 485, 240, 490, 178, 428)(115, 365, 199, 449, 189, 439, 242, 492, 201, 451)(118, 368, 205, 455, 246, 496, 245, 495, 203, 453)(125, 375, 212, 462, 237, 487, 210, 460, 134, 384)(126, 376, 181, 431, 200, 450, 159, 409, 194, 444)(128, 378, 183, 433, 162, 412, 197, 447, 214, 464)(130, 380, 188, 438, 180, 430, 202, 452, 207, 457)(136, 386, 219, 469, 239, 489, 191, 441, 218, 468)(137, 387, 220, 470, 166, 416, 221, 471, 216, 466)(139, 389, 185, 435, 236, 486, 233, 483, 160, 410)(156, 406, 230, 480, 227, 477, 244, 494, 195, 445)(213, 463, 232, 482, 243, 493, 250, 500, 248, 498)(217, 467, 241, 491, 249, 499, 247, 497, 234, 484)(501, 751)(502, 752)(503, 753)(504, 754)(505, 755)(506, 756)(507, 757)(508, 758)(509, 759)(510, 760)(511, 761)(512, 762)(513, 763)(514, 764)(515, 765)(516, 766)(517, 767)(518, 768)(519, 769)(520, 770)(521, 771)(522, 772)(523, 773)(524, 774)(525, 775)(526, 776)(527, 777)(528, 778)(529, 779)(530, 780)(531, 781)(532, 782)(533, 783)(534, 784)(535, 785)(536, 786)(537, 787)(538, 788)(539, 789)(540, 790)(541, 791)(542, 792)(543, 793)(544, 794)(545, 795)(546, 796)(547, 797)(548, 798)(549, 799)(550, 800)(551, 801)(552, 802)(553, 803)(554, 804)(555, 805)(556, 806)(557, 807)(558, 808)(559, 809)(560, 810)(561, 811)(562, 812)(563, 813)(564, 814)(565, 815)(566, 816)(567, 817)(568, 818)(569, 819)(570, 820)(571, 821)(572, 822)(573, 823)(574, 824)(575, 825)(576, 826)(577, 827)(578, 828)(579, 829)(580, 830)(581, 831)(582, 832)(583, 833)(584, 834)(585, 835)(586, 836)(587, 837)(588, 838)(589, 839)(590, 840)(591, 841)(592, 842)(593, 843)(594, 844)(595, 845)(596, 846)(597, 847)(598, 848)(599, 849)(600, 850)(601, 851)(602, 852)(603, 853)(604, 854)(605, 855)(606, 856)(607, 857)(608, 858)(609, 859)(610, 860)(611, 861)(612, 862)(613, 863)(614, 864)(615, 865)(616, 866)(617, 867)(618, 868)(619, 869)(620, 870)(621, 871)(622, 872)(623, 873)(624, 874)(625, 875)(626, 876)(627, 877)(628, 878)(629, 879)(630, 880)(631, 881)(632, 882)(633, 883)(634, 884)(635, 885)(636, 886)(637, 887)(638, 888)(639, 889)(640, 890)(641, 891)(642, 892)(643, 893)(644, 894)(645, 895)(646, 896)(647, 897)(648, 898)(649, 899)(650, 900)(651, 901)(652, 902)(653, 903)(654, 904)(655, 905)(656, 906)(657, 907)(658, 908)(659, 909)(660, 910)(661, 911)(662, 912)(663, 913)(664, 914)(665, 915)(666, 916)(667, 917)(668, 918)(669, 919)(670, 920)(671, 921)(672, 922)(673, 923)(674, 924)(675, 925)(676, 926)(677, 927)(678, 928)(679, 929)(680, 930)(681, 931)(682, 932)(683, 933)(684, 934)(685, 935)(686, 936)(687, 937)(688, 938)(689, 939)(690, 940)(691, 941)(692, 942)(693, 943)(694, 944)(695, 945)(696, 946)(697, 947)(698, 948)(699, 949)(700, 950)(701, 951)(702, 952)(703, 953)(704, 954)(705, 955)(706, 956)(707, 957)(708, 958)(709, 959)(710, 960)(711, 961)(712, 962)(713, 963)(714, 964)(715, 965)(716, 966)(717, 967)(718, 968)(719, 969)(720, 970)(721, 971)(722, 972)(723, 973)(724, 974)(725, 975)(726, 976)(727, 977)(728, 978)(729, 979)(730, 980)(731, 981)(732, 982)(733, 983)(734, 984)(735, 985)(736, 986)(737, 987)(738, 988)(739, 989)(740, 990)(741, 991)(742, 992)(743, 993)(744, 994)(745, 995)(746, 996)(747, 997)(748, 998)(749, 999)(750, 1000)
	L = (1, 503)(2, 507)(3, 510)(4, 512)(5, 501)(6, 516)(7, 518)(8, 502)(9, 504)(10, 525)(11, 527)(12, 530)(13, 532)(14, 534)(15, 505)(16, 538)(17, 506)(18, 543)(19, 545)(20, 547)(21, 508)(22, 551)(23, 509)(24, 511)(25, 558)(26, 560)(27, 563)(28, 565)(29, 513)(30, 569)(31, 571)(32, 573)(33, 575)(34, 577)(35, 514)(36, 582)(37, 515)(38, 587)(39, 589)(40, 591)(41, 517)(42, 519)(43, 598)(44, 600)(45, 602)(46, 604)(47, 606)(48, 520)(49, 611)(50, 521)(51, 615)(52, 522)(53, 620)(54, 523)(55, 624)(56, 524)(57, 526)(58, 630)(59, 631)(60, 633)(61, 634)(62, 528)(63, 592)(64, 637)(65, 639)(66, 640)(67, 529)(68, 531)(69, 647)(70, 648)(71, 609)(72, 651)(73, 653)(74, 655)(75, 656)(76, 533)(77, 659)(78, 660)(79, 621)(80, 535)(81, 661)(82, 662)(83, 536)(84, 664)(85, 537)(86, 539)(87, 668)(88, 669)(89, 618)(90, 672)(91, 674)(92, 540)(93, 627)(94, 541)(95, 679)(96, 542)(97, 544)(98, 685)(99, 686)(100, 564)(101, 688)(102, 641)(103, 689)(104, 691)(105, 546)(106, 694)(107, 695)(108, 583)(109, 548)(110, 696)(111, 697)(112, 549)(113, 698)(114, 550)(115, 700)(116, 702)(117, 703)(118, 552)(119, 706)(120, 683)(121, 553)(122, 708)(123, 554)(124, 684)(125, 555)(126, 556)(127, 714)(128, 557)(129, 559)(130, 585)(131, 716)(132, 561)(133, 704)(134, 576)(135, 718)(136, 562)(137, 579)(138, 584)(139, 581)(140, 721)(141, 566)(142, 682)(143, 567)(144, 715)(145, 568)(146, 570)(147, 710)(148, 726)(149, 636)(150, 572)(151, 707)(152, 574)(153, 635)(154, 705)(155, 580)(156, 610)(157, 594)(158, 578)(159, 701)(160, 732)(161, 734)(162, 667)(163, 654)(164, 693)(165, 720)(166, 586)(167, 588)(168, 730)(169, 603)(170, 736)(171, 731)(172, 737)(173, 590)(174, 626)(175, 739)(176, 612)(177, 740)(178, 593)(179, 709)(180, 595)(181, 596)(182, 628)(183, 597)(184, 599)(185, 614)(186, 699)(187, 601)(188, 605)(189, 608)(190, 613)(191, 677)(192, 643)(193, 607)(194, 645)(195, 743)(196, 717)(197, 663)(198, 738)(199, 616)(200, 666)(201, 652)(202, 713)(203, 642)(204, 617)(205, 671)(206, 747)(207, 619)(208, 658)(209, 622)(210, 623)(211, 723)(212, 748)(213, 625)(214, 646)(215, 629)(216, 722)(217, 632)(218, 692)(219, 644)(220, 638)(221, 681)(222, 712)(223, 678)(224, 745)(225, 649)(226, 711)(227, 650)(228, 742)(229, 727)(230, 657)(231, 676)(232, 680)(233, 665)(234, 725)(235, 670)(236, 673)(237, 724)(238, 675)(239, 750)(240, 741)(241, 687)(242, 690)(243, 733)(244, 728)(245, 749)(246, 729)(247, 746)(248, 719)(249, 735)(250, 744)(251, 751)(252, 752)(253, 753)(254, 754)(255, 755)(256, 756)(257, 757)(258, 758)(259, 759)(260, 760)(261, 761)(262, 762)(263, 763)(264, 764)(265, 765)(266, 766)(267, 767)(268, 768)(269, 769)(270, 770)(271, 771)(272, 772)(273, 773)(274, 774)(275, 775)(276, 776)(277, 777)(278, 778)(279, 779)(280, 780)(281, 781)(282, 782)(283, 783)(284, 784)(285, 785)(286, 786)(287, 787)(288, 788)(289, 789)(290, 790)(291, 791)(292, 792)(293, 793)(294, 794)(295, 795)(296, 796)(297, 797)(298, 798)(299, 799)(300, 800)(301, 801)(302, 802)(303, 803)(304, 804)(305, 805)(306, 806)(307, 807)(308, 808)(309, 809)(310, 810)(311, 811)(312, 812)(313, 813)(314, 814)(315, 815)(316, 816)(317, 817)(318, 818)(319, 819)(320, 820)(321, 821)(322, 822)(323, 823)(324, 824)(325, 825)(326, 826)(327, 827)(328, 828)(329, 829)(330, 830)(331, 831)(332, 832)(333, 833)(334, 834)(335, 835)(336, 836)(337, 837)(338, 838)(339, 839)(340, 840)(341, 841)(342, 842)(343, 843)(344, 844)(345, 845)(346, 846)(347, 847)(348, 848)(349, 849)(350, 850)(351, 851)(352, 852)(353, 853)(354, 854)(355, 855)(356, 856)(357, 857)(358, 858)(359, 859)(360, 860)(361, 861)(362, 862)(363, 863)(364, 864)(365, 865)(366, 866)(367, 867)(368, 868)(369, 869)(370, 870)(371, 871)(372, 872)(373, 873)(374, 874)(375, 875)(376, 876)(377, 877)(378, 878)(379, 879)(380, 880)(381, 881)(382, 882)(383, 883)(384, 884)(385, 885)(386, 886)(387, 887)(388, 888)(389, 889)(390, 890)(391, 891)(392, 892)(393, 893)(394, 894)(395, 895)(396, 896)(397, 897)(398, 898)(399, 899)(400, 900)(401, 901)(402, 902)(403, 903)(404, 904)(405, 905)(406, 906)(407, 907)(408, 908)(409, 909)(410, 910)(411, 911)(412, 912)(413, 913)(414, 914)(415, 915)(416, 916)(417, 917)(418, 918)(419, 919)(420, 920)(421, 921)(422, 922)(423, 923)(424, 924)(425, 925)(426, 926)(427, 927)(428, 928)(429, 929)(430, 930)(431, 931)(432, 932)(433, 933)(434, 934)(435, 935)(436, 936)(437, 937)(438, 938)(439, 939)(440, 940)(441, 941)(442, 942)(443, 943)(444, 944)(445, 945)(446, 946)(447, 947)(448, 948)(449, 949)(450, 950)(451, 951)(452, 952)(453, 953)(454, 954)(455, 955)(456, 956)(457, 957)(458, 958)(459, 959)(460, 960)(461, 961)(462, 962)(463, 963)(464, 964)(465, 965)(466, 966)(467, 967)(468, 968)(469, 969)(470, 970)(471, 971)(472, 972)(473, 973)(474, 974)(475, 975)(476, 976)(477, 977)(478, 978)(479, 979)(480, 980)(481, 981)(482, 982)(483, 983)(484, 984)(485, 985)(486, 986)(487, 987)(488, 988)(489, 989)(490, 990)(491, 991)(492, 992)(493, 993)(494, 994)(495, 995)(496, 996)(497, 997)(498, 998)(499, 999)(500, 1000)
	local type(s) :: { ( 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.1476
Graph:: simple bipartite
	v = 300 e = 500 f = 150
	degree seq :: [ 2^250, 10^50 ]

E26.1478 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = (((C5 x C5) : C3) : C2) : C2 (small group id <300, 25>)
Aut   = $<600, 154>$ (small group id <600, 154>)
|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, Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y3, (Y1 * Y2)^6, Y3 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 301, 2, 302)(3, 303, 7, 307)(4, 304, 9, 309)(5, 305, 10, 310)(6, 306, 12, 312)(8, 308, 15, 315)(11, 311, 19, 319)(13, 313, 21, 321)(14, 314, 23, 323)(16, 316, 25, 325)(17, 317, 26, 326)(18, 318, 28, 328)(20, 320, 30, 330)(22, 322, 33, 333)(24, 324, 35, 335)(27, 327, 40, 340)(29, 329, 42, 342)(31, 331, 38, 338)(32, 332, 46, 346)(34, 334, 48, 348)(36, 336, 51, 351)(37, 337, 44, 344)(39, 339, 54, 354)(41, 341, 56, 356)(43, 343, 59, 359)(45, 345, 61, 361)(47, 347, 63, 363)(49, 349, 66, 366)(50, 350, 65, 365)(52, 352, 69, 369)(53, 353, 70, 370)(55, 355, 72, 372)(57, 357, 75, 375)(58, 358, 74, 374)(60, 360, 78, 378)(62, 362, 80, 380)(64, 364, 83, 383)(67, 367, 86, 386)(68, 368, 87, 387)(71, 371, 90, 390)(73, 373, 93, 393)(76, 376, 96, 396)(77, 377, 97, 397)(79, 379, 99, 399)(81, 381, 102, 402)(82, 382, 101, 401)(84, 384, 105, 405)(85, 385, 106, 406)(88, 388, 109, 409)(89, 389, 110, 410)(91, 391, 113, 413)(92, 392, 112, 412)(94, 394, 116, 416)(95, 395, 117, 417)(98, 398, 120, 420)(100, 400, 123, 423)(103, 403, 126, 426)(104, 404, 127, 427)(107, 407, 130, 430)(108, 408, 131, 431)(111, 411, 205, 505)(114, 414, 156, 456)(115, 415, 210, 510)(118, 418, 159, 459)(119, 419, 136, 436)(121, 421, 217, 517)(122, 422, 204, 504)(124, 424, 137, 437)(125, 425, 179, 479)(128, 428, 197, 497)(129, 429, 143, 443)(132, 432, 214, 514)(133, 433, 226, 526)(134, 434, 171, 471)(135, 435, 166, 466)(138, 438, 180, 480)(139, 439, 154, 454)(140, 440, 157, 457)(141, 441, 151, 451)(142, 442, 162, 462)(144, 444, 189, 489)(145, 445, 148, 448)(146, 446, 196, 496)(147, 447, 194, 494)(149, 449, 158, 458)(150, 450, 175, 475)(152, 452, 163, 463)(153, 453, 181, 481)(155, 455, 182, 482)(160, 460, 213, 513)(161, 461, 176, 476)(164, 464, 201, 501)(165, 465, 170, 470)(167, 467, 202, 502)(168, 468, 227, 527)(169, 469, 174, 474)(172, 472, 216, 516)(173, 473, 264, 564)(177, 477, 190, 490)(178, 478, 188, 488)(183, 483, 195, 495)(184, 484, 193, 493)(185, 485, 208, 508)(186, 486, 249, 549)(187, 487, 270, 570)(191, 491, 246, 546)(192, 492, 273, 573)(198, 498, 222, 522)(199, 499, 221, 521)(200, 500, 271, 571)(203, 503, 277, 577)(206, 506, 212, 512)(207, 507, 283, 583)(209, 509, 259, 559)(211, 511, 274, 574)(215, 515, 235, 535)(218, 518, 238, 538)(219, 519, 279, 579)(220, 520, 237, 537)(223, 523, 275, 575)(224, 524, 245, 545)(225, 525, 286, 586)(228, 528, 251, 551)(229, 529, 288, 588)(230, 530, 290, 590)(231, 531, 276, 576)(232, 532, 293, 593)(233, 533, 282, 582)(234, 534, 287, 587)(236, 536, 278, 578)(239, 539, 280, 580)(240, 540, 297, 597)(241, 541, 295, 595)(242, 542, 292, 592)(243, 543, 285, 585)(244, 544, 291, 591)(247, 547, 294, 594)(248, 548, 256, 556)(250, 550, 289, 589)(252, 552, 269, 569)(253, 553, 299, 599)(254, 554, 261, 561)(255, 555, 281, 581)(257, 557, 300, 600)(258, 558, 263, 563)(260, 560, 296, 596)(262, 562, 284, 584)(265, 565, 266, 566)(267, 567, 298, 598)(268, 568, 272, 572)(601, 901, 603, 903)(602, 902, 605, 905)(604, 904, 608, 908)(606, 906, 611, 911)(607, 907, 613, 913)(609, 909, 616, 916)(610, 910, 617, 917)(612, 912, 620, 920)(614, 914, 622, 922)(615, 915, 624, 924)(618, 918, 627, 927)(619, 919, 629, 929)(621, 921, 631, 931)(623, 923, 634, 934)(625, 925, 636, 936)(626, 926, 638, 938)(628, 928, 641, 941)(630, 930, 643, 943)(632, 932, 645, 945)(633, 933, 647, 947)(635, 935, 649, 949)(637, 937, 652, 952)(639, 939, 653, 953)(640, 940, 655, 955)(642, 942, 657, 957)(644, 944, 660, 960)(646, 946, 662, 962)(648, 948, 664, 964)(650, 950, 667, 967)(651, 951, 666, 966)(654, 954, 671, 971)(656, 956, 673, 973)(658, 958, 676, 976)(659, 959, 675, 975)(661, 961, 679, 979)(663, 963, 681, 981)(665, 965, 684, 984)(668, 968, 685, 985)(669, 969, 688, 988)(670, 970, 689, 989)(672, 972, 691, 991)(674, 974, 694, 994)(677, 977, 695, 995)(678, 978, 698, 998)(680, 980, 700, 1000)(682, 982, 703, 1003)(683, 983, 702, 1002)(686, 986, 707, 1007)(687, 987, 708, 1008)(690, 990, 711, 1011)(692, 992, 714, 1014)(693, 993, 713, 1013)(696, 996, 718, 1018)(697, 997, 719, 1019)(699, 999, 721, 1021)(701, 1001, 724, 1024)(704, 1004, 725, 1025)(705, 1005, 728, 1028)(706, 1006, 729, 1029)(709, 1009, 732, 1032)(710, 1010, 803, 1103)(712, 1012, 780, 1080)(715, 1015, 808, 1108)(716, 1016, 812, 1112)(717, 1017, 796, 1096)(720, 1020, 814, 1114)(722, 1022, 794, 1094)(723, 1023, 817, 1117)(726, 1026, 802, 1102)(727, 1027, 771, 1071)(730, 1030, 823, 1123)(731, 1031, 825, 1125)(733, 1033, 827, 1127)(734, 1034, 830, 1130)(735, 1035, 832, 1132)(736, 1036, 834, 1134)(737, 1037, 836, 1136)(738, 1038, 838, 1138)(739, 1039, 840, 1140)(740, 1040, 841, 1141)(741, 1041, 842, 1142)(742, 1042, 843, 1143)(743, 1043, 844, 1144)(744, 1044, 846, 1146)(745, 1045, 833, 1133)(746, 1046, 847, 1147)(747, 1047, 849, 1149)(748, 1048, 831, 1131)(749, 1049, 850, 1150)(750, 1050, 851, 1151)(751, 1051, 839, 1139)(752, 1052, 829, 1129)(753, 1053, 852, 1152)(754, 1054, 837, 1137)(755, 1055, 853, 1153)(756, 1056, 816, 1116)(757, 1057, 835, 1135)(758, 1058, 811, 1111)(759, 1059, 855, 1155)(760, 1060, 821, 1121)(761, 1061, 857, 1157)(762, 1062, 826, 1126)(763, 1063, 800, 1100)(764, 1064, 859, 1159)(765, 1065, 858, 1158)(766, 1066, 810, 1110)(767, 1067, 860, 1160)(768, 1068, 793, 1093)(769, 1069, 792, 1092)(770, 1070, 854, 1154)(772, 1072, 862, 1162)(773, 1073, 788, 1088)(774, 1074, 787, 1087)(775, 1075, 845, 1145)(776, 1076, 785, 1085)(777, 1077, 865, 1165)(778, 1078, 819, 1119)(779, 1079, 782, 1082)(781, 1081, 848, 1148)(783, 1083, 866, 1166)(784, 1084, 867, 1167)(786, 1086, 868, 1168)(789, 1089, 804, 1104)(790, 1090, 861, 1161)(791, 1091, 872, 1172)(795, 1095, 863, 1163)(797, 1097, 875, 1175)(798, 1098, 809, 1109)(799, 1099, 807, 1107)(801, 1101, 856, 1156)(805, 1105, 877, 1177)(806, 1106, 881, 1181)(813, 1113, 824, 1124)(815, 1115, 864, 1164)(818, 1118, 884, 1184)(820, 1120, 871, 1171)(822, 1122, 869, 1169)(828, 1128, 883, 1183)(870, 1170, 876, 1176)(873, 1173, 882, 1182)(874, 1174, 880, 1180)(878, 1178, 896, 1196)(879, 1179, 895, 1195)(885, 1185, 898, 1198)(886, 1186, 891, 1191)(887, 1187, 894, 1194)(888, 1188, 897, 1197)(889, 1189, 892, 1192)(890, 1190, 899, 1199)(893, 1193, 900, 1200)
	L = (1, 604)(2, 606)(3, 608)(4, 601)(5, 611)(6, 602)(7, 614)(8, 603)(9, 612)(10, 618)(11, 605)(12, 609)(13, 622)(14, 607)(15, 623)(16, 620)(17, 627)(18, 610)(19, 628)(20, 616)(21, 632)(22, 613)(23, 615)(24, 634)(25, 637)(26, 639)(27, 617)(28, 619)(29, 641)(30, 644)(31, 645)(32, 621)(33, 646)(34, 624)(35, 650)(36, 652)(37, 625)(38, 653)(39, 626)(40, 654)(41, 629)(42, 658)(43, 660)(44, 630)(45, 631)(46, 633)(47, 662)(48, 665)(49, 667)(50, 635)(51, 668)(52, 636)(53, 638)(54, 640)(55, 671)(56, 674)(57, 676)(58, 642)(59, 677)(60, 643)(61, 670)(62, 647)(63, 682)(64, 684)(65, 648)(66, 685)(67, 649)(68, 651)(69, 687)(70, 661)(71, 655)(72, 692)(73, 694)(74, 656)(75, 695)(76, 657)(77, 659)(78, 697)(79, 689)(80, 701)(81, 703)(82, 663)(83, 704)(84, 664)(85, 666)(86, 706)(87, 669)(88, 708)(89, 679)(90, 712)(91, 714)(92, 672)(93, 715)(94, 673)(95, 675)(96, 717)(97, 678)(98, 719)(99, 722)(100, 724)(101, 680)(102, 725)(103, 681)(104, 683)(105, 727)(106, 686)(107, 729)(108, 688)(109, 733)(110, 804)(111, 780)(112, 690)(113, 808)(114, 691)(115, 693)(116, 810)(117, 696)(118, 796)(119, 698)(120, 815)(121, 794)(122, 699)(123, 820)(124, 700)(125, 702)(126, 779)(127, 705)(128, 771)(129, 707)(130, 824)(131, 826)(132, 827)(133, 709)(134, 831)(135, 833)(136, 835)(137, 837)(138, 839)(139, 841)(140, 840)(141, 843)(142, 842)(143, 845)(144, 811)(145, 832)(146, 848)(147, 800)(148, 830)(149, 851)(150, 850)(151, 838)(152, 852)(153, 829)(154, 836)(155, 854)(156, 785)(157, 834)(158, 846)(159, 856)(160, 787)(161, 858)(162, 825)(163, 849)(164, 792)(165, 857)(166, 812)(167, 861)(168, 773)(169, 859)(170, 853)(171, 728)(172, 863)(173, 768)(174, 821)(175, 844)(176, 816)(177, 819)(178, 865)(179, 726)(180, 711)(181, 847)(182, 802)(183, 867)(184, 866)(185, 756)(186, 869)(187, 760)(188, 793)(189, 803)(190, 860)(191, 828)(192, 764)(193, 788)(194, 721)(195, 862)(196, 718)(197, 876)(198, 807)(199, 809)(200, 747)(201, 855)(202, 782)(203, 789)(204, 710)(205, 880)(206, 882)(207, 798)(208, 713)(209, 799)(210, 716)(211, 744)(212, 766)(213, 823)(214, 864)(215, 720)(216, 776)(217, 871)(218, 885)(219, 777)(220, 723)(221, 774)(222, 868)(223, 813)(224, 730)(225, 762)(226, 731)(227, 732)(228, 791)(229, 753)(230, 748)(231, 734)(232, 745)(233, 735)(234, 757)(235, 736)(236, 754)(237, 737)(238, 751)(239, 738)(240, 740)(241, 739)(242, 742)(243, 741)(244, 775)(245, 743)(246, 758)(247, 781)(248, 746)(249, 763)(250, 750)(251, 749)(252, 752)(253, 770)(254, 755)(255, 801)(256, 759)(257, 765)(258, 761)(259, 769)(260, 790)(261, 767)(262, 795)(263, 772)(264, 814)(265, 778)(266, 784)(267, 783)(268, 822)(269, 786)(270, 875)(271, 817)(272, 883)(273, 881)(274, 877)(275, 870)(276, 797)(277, 874)(278, 895)(279, 896)(280, 805)(281, 873)(282, 806)(283, 872)(284, 898)(285, 818)(286, 892)(287, 897)(288, 894)(289, 891)(290, 893)(291, 889)(292, 886)(293, 890)(294, 888)(295, 878)(296, 879)(297, 887)(298, 884)(299, 900)(300, 899)(301, 901)(302, 902)(303, 903)(304, 904)(305, 905)(306, 906)(307, 907)(308, 908)(309, 909)(310, 910)(311, 911)(312, 912)(313, 913)(314, 914)(315, 915)(316, 916)(317, 917)(318, 918)(319, 919)(320, 920)(321, 921)(322, 922)(323, 923)(324, 924)(325, 925)(326, 926)(327, 927)(328, 928)(329, 929)(330, 930)(331, 931)(332, 932)(333, 933)(334, 934)(335, 935)(336, 936)(337, 937)(338, 938)(339, 939)(340, 940)(341, 941)(342, 942)(343, 943)(344, 944)(345, 945)(346, 946)(347, 947)(348, 948)(349, 949)(350, 950)(351, 951)(352, 952)(353, 953)(354, 954)(355, 955)(356, 956)(357, 957)(358, 958)(359, 959)(360, 960)(361, 961)(362, 962)(363, 963)(364, 964)(365, 965)(366, 966)(367, 967)(368, 968)(369, 969)(370, 970)(371, 971)(372, 972)(373, 973)(374, 974)(375, 975)(376, 976)(377, 977)(378, 978)(379, 979)(380, 980)(381, 981)(382, 982)(383, 983)(384, 984)(385, 985)(386, 986)(387, 987)(388, 988)(389, 989)(390, 990)(391, 991)(392, 992)(393, 993)(394, 994)(395, 995)(396, 996)(397, 997)(398, 998)(399, 999)(400, 1000)(401, 1001)(402, 1002)(403, 1003)(404, 1004)(405, 1005)(406, 1006)(407, 1007)(408, 1008)(409, 1009)(410, 1010)(411, 1011)(412, 1012)(413, 1013)(414, 1014)(415, 1015)(416, 1016)(417, 1017)(418, 1018)(419, 1019)(420, 1020)(421, 1021)(422, 1022)(423, 1023)(424, 1024)(425, 1025)(426, 1026)(427, 1027)(428, 1028)(429, 1029)(430, 1030)(431, 1031)(432, 1032)(433, 1033)(434, 1034)(435, 1035)(436, 1036)(437, 1037)(438, 1038)(439, 1039)(440, 1040)(441, 1041)(442, 1042)(443, 1043)(444, 1044)(445, 1045)(446, 1046)(447, 1047)(448, 1048)(449, 1049)(450, 1050)(451, 1051)(452, 1052)(453, 1053)(454, 1054)(455, 1055)(456, 1056)(457, 1057)(458, 1058)(459, 1059)(460, 1060)(461, 1061)(462, 1062)(463, 1063)(464, 1064)(465, 1065)(466, 1066)(467, 1067)(468, 1068)(469, 1069)(470, 1070)(471, 1071)(472, 1072)(473, 1073)(474, 1074)(475, 1075)(476, 1076)(477, 1077)(478, 1078)(479, 1079)(480, 1080)(481, 1081)(482, 1082)(483, 1083)(484, 1084)(485, 1085)(486, 1086)(487, 1087)(488, 1088)(489, 1089)(490, 1090)(491, 1091)(492, 1092)(493, 1093)(494, 1094)(495, 1095)(496, 1096)(497, 1097)(498, 1098)(499, 1099)(500, 1100)(501, 1101)(502, 1102)(503, 1103)(504, 1104)(505, 1105)(506, 1106)(507, 1107)(508, 1108)(509, 1109)(510, 1110)(511, 1111)(512, 1112)(513, 1113)(514, 1114)(515, 1115)(516, 1116)(517, 1117)(518, 1118)(519, 1119)(520, 1120)(521, 1121)(522, 1122)(523, 1123)(524, 1124)(525, 1125)(526, 1126)(527, 1127)(528, 1128)(529, 1129)(530, 1130)(531, 1131)(532, 1132)(533, 1133)(534, 1134)(535, 1135)(536, 1136)(537, 1137)(538, 1138)(539, 1139)(540, 1140)(541, 1141)(542, 1142)(543, 1143)(544, 1144)(545, 1145)(546, 1146)(547, 1147)(548, 1148)(549, 1149)(550, 1150)(551, 1151)(552, 1152)(553, 1153)(554, 1154)(555, 1155)(556, 1156)(557, 1157)(558, 1158)(559, 1159)(560, 1160)(561, 1161)(562, 1162)(563, 1163)(564, 1164)(565, 1165)(566, 1166)(567, 1167)(568, 1168)(569, 1169)(570, 1170)(571, 1171)(572, 1172)(573, 1173)(574, 1174)(575, 1175)(576, 1176)(577, 1177)(578, 1178)(579, 1179)(580, 1180)(581, 1181)(582, 1182)(583, 1183)(584, 1184)(585, 1185)(586, 1186)(587, 1187)(588, 1188)(589, 1189)(590, 1190)(591, 1191)(592, 1192)(593, 1193)(594, 1194)(595, 1195)(596, 1196)(597, 1197)(598, 1198)(599, 1199)(600, 1200)
	local type(s) :: { ( 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E26.1483
Graph:: simple bipartite
	v = 300 e = 600 f = 250
	degree seq :: [ 4^300 ]

E26.1479 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = (((C5 x C5) : C3) : C2) : C2 (small group id <300, 25>)
Aut   = $<600, 154>$ (small group id <600, 154>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, Y3^-2 * R * Y2 * R * Y2, Y3^6, (Y1 * Y3^-1)^3, R * Y3^2 * Y2 * R * Y2, Y2 * Y1 * Y2 * Y3^2 * Y1 * Y3^-2, Y2 * Y3 * Y1 * R * Y2 * R * Y3^-1 * Y1 * Y3 * Y1, (Y3^-1 * R * Y1 * Y2 * Y1)^2, Y3 * Y2 * R * Y2 * Y1 * Y2 * Y1 * Y2 * R * Y3 * Y2 * Y1 * Y2 * Y1, Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1, Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3^-2 * Y1 * Y2 * Y1 * Y3^2 * Y1 ]
Map:: polyhedral non-degenerate
	R = (1, 301, 2, 302)(3, 303, 9, 309)(4, 304, 12, 312)(5, 305, 14, 314)(6, 306, 16, 316)(7, 307, 19, 319)(8, 308, 21, 321)(10, 310, 26, 326)(11, 311, 28, 328)(13, 313, 32, 332)(15, 315, 36, 336)(17, 317, 40, 340)(18, 318, 42, 342)(20, 320, 46, 346)(22, 322, 50, 350)(23, 323, 51, 351)(24, 324, 54, 354)(25, 325, 56, 356)(27, 327, 41, 341)(29, 329, 63, 363)(30, 330, 64, 364)(31, 331, 65, 365)(33, 333, 66, 366)(34, 334, 67, 367)(35, 335, 69, 369)(37, 337, 73, 373)(38, 338, 76, 376)(39, 339, 78, 378)(43, 343, 85, 385)(44, 344, 86, 386)(45, 345, 87, 387)(47, 347, 88, 388)(48, 348, 89, 389)(49, 349, 91, 391)(52, 352, 98, 398)(53, 353, 99, 399)(55, 355, 103, 403)(57, 357, 105, 405)(58, 358, 106, 406)(59, 359, 82, 382)(60, 360, 81, 381)(61, 361, 107, 407)(62, 362, 109, 409)(68, 368, 117, 417)(70, 370, 118, 418)(71, 371, 119, 419)(72, 372, 101, 401)(74, 374, 125, 425)(75, 375, 126, 426)(77, 377, 130, 430)(79, 379, 132, 432)(80, 380, 133, 433)(83, 383, 134, 434)(84, 384, 136, 436)(90, 390, 144, 444)(92, 392, 145, 445)(93, 393, 146, 446)(94, 394, 128, 428)(95, 395, 149, 449)(96, 396, 152, 452)(97, 397, 154, 454)(100, 400, 159, 459)(102, 402, 160, 460)(104, 404, 161, 461)(108, 408, 169, 469)(110, 410, 170, 470)(111, 411, 171, 471)(112, 412, 172, 472)(113, 413, 143, 443)(114, 414, 173, 473)(115, 415, 176, 476)(116, 416, 140, 440)(120, 420, 182, 482)(121, 421, 168, 468)(122, 422, 183, 483)(123, 423, 186, 486)(124, 424, 188, 488)(127, 427, 193, 493)(129, 429, 194, 494)(131, 431, 195, 495)(135, 435, 203, 503)(137, 437, 204, 504)(138, 438, 205, 505)(139, 439, 206, 506)(141, 441, 207, 507)(142, 442, 210, 510)(147, 447, 216, 516)(148, 448, 202, 502)(150, 450, 220, 520)(151, 451, 200, 500)(153, 453, 224, 524)(155, 455, 226, 526)(156, 456, 227, 527)(157, 457, 191, 491)(158, 458, 213, 513)(162, 462, 230, 530)(163, 463, 222, 522)(164, 464, 233, 533)(165, 465, 208, 508)(166, 466, 185, 485)(167, 467, 236, 536)(174, 474, 199, 499)(175, 475, 246, 546)(177, 477, 247, 547)(178, 478, 248, 548)(179, 479, 192, 492)(180, 480, 249, 549)(181, 481, 250, 550)(184, 484, 255, 555)(187, 487, 259, 559)(189, 489, 261, 561)(190, 490, 262, 562)(196, 496, 265, 565)(197, 497, 257, 557)(198, 498, 268, 568)(201, 501, 271, 571)(209, 509, 281, 581)(211, 511, 282, 582)(212, 512, 283, 583)(214, 514, 284, 584)(215, 515, 285, 585)(217, 517, 287, 587)(218, 518, 270, 570)(219, 519, 289, 589)(221, 521, 290, 590)(223, 523, 291, 591)(225, 525, 272, 572)(228, 528, 267, 567)(229, 529, 264, 564)(231, 531, 280, 580)(232, 532, 263, 563)(234, 534, 274, 574)(235, 535, 253, 553)(237, 537, 260, 560)(238, 538, 278, 578)(239, 539, 269, 569)(240, 540, 292, 592)(241, 541, 279, 579)(242, 542, 288, 588)(243, 543, 273, 573)(244, 544, 276, 576)(245, 545, 266, 566)(251, 551, 286, 586)(252, 552, 294, 594)(254, 554, 296, 596)(256, 556, 297, 597)(258, 558, 298, 598)(275, 575, 299, 599)(277, 577, 295, 595)(293, 593, 300, 600)(601, 901, 603, 903)(602, 902, 606, 906)(604, 904, 611, 911)(605, 905, 610, 910)(607, 907, 618, 918)(608, 908, 617, 917)(609, 909, 623, 923)(612, 912, 630, 930)(613, 913, 629, 929)(614, 914, 634, 934)(615, 915, 627, 927)(616, 916, 637, 937)(619, 919, 644, 944)(620, 920, 643, 943)(621, 921, 648, 948)(622, 922, 641, 941)(624, 924, 653, 953)(625, 925, 652, 952)(626, 926, 658, 958)(628, 928, 661, 961)(631, 931, 659, 959)(632, 932, 657, 957)(633, 933, 660, 960)(635, 935, 668, 968)(636, 936, 671, 971)(638, 938, 675, 975)(639, 939, 674, 974)(640, 940, 680, 980)(642, 942, 683, 983)(645, 945, 681, 981)(646, 946, 679, 979)(647, 947, 682, 982)(649, 949, 690, 990)(650, 950, 693, 993)(651, 951, 695, 995)(654, 954, 701, 1001)(655, 955, 700, 1000)(656, 956, 692, 992)(662, 962, 708, 1008)(663, 963, 711, 1011)(664, 964, 712, 1012)(665, 965, 704, 1004)(666, 966, 702, 1002)(667, 967, 714, 1014)(669, 969, 709, 1009)(670, 970, 678, 978)(672, 972, 720, 1020)(673, 973, 722, 1022)(676, 976, 728, 1028)(677, 977, 727, 1027)(684, 984, 735, 1035)(685, 985, 738, 1038)(686, 986, 739, 1039)(687, 987, 731, 1031)(688, 988, 729, 1029)(689, 989, 741, 1041)(691, 991, 736, 1036)(694, 994, 747, 1047)(696, 996, 751, 1051)(697, 997, 750, 1050)(698, 998, 756, 1056)(699, 999, 757, 1057)(703, 1003, 755, 1055)(705, 1005, 762, 1062)(706, 1006, 764, 1064)(707, 1007, 766, 1066)(710, 1010, 754, 1054)(713, 1013, 748, 1048)(715, 1015, 775, 1075)(716, 1016, 774, 1074)(717, 1017, 779, 1079)(718, 1018, 778, 1078)(719, 1019, 780, 1080)(721, 1021, 740, 1040)(723, 1023, 785, 1085)(724, 1024, 784, 1084)(725, 1025, 790, 1090)(726, 1026, 791, 1091)(730, 1030, 789, 1089)(732, 1032, 796, 1096)(733, 1033, 798, 1098)(734, 1034, 800, 1100)(737, 1037, 788, 1088)(742, 1042, 809, 1109)(743, 1043, 808, 1108)(744, 1044, 813, 1113)(745, 1045, 812, 1112)(746, 1046, 814, 1114)(749, 1049, 817, 1117)(752, 1052, 822, 1122)(753, 1053, 821, 1121)(758, 1058, 828, 1128)(759, 1059, 810, 1110)(760, 1060, 825, 1125)(761, 1061, 823, 1123)(763, 1063, 831, 1131)(765, 1065, 832, 1132)(767, 1067, 835, 1135)(768, 1068, 834, 1134)(769, 1069, 839, 1139)(770, 1070, 838, 1138)(771, 1071, 840, 1140)(772, 1072, 842, 1142)(773, 1073, 818, 1118)(776, 1076, 793, 1093)(777, 1077, 841, 1141)(781, 1081, 837, 1137)(782, 1082, 851, 1151)(783, 1083, 852, 1152)(786, 1086, 857, 1157)(787, 1087, 856, 1156)(792, 1092, 863, 1163)(794, 1094, 860, 1160)(795, 1095, 858, 1158)(797, 1097, 866, 1166)(799, 1099, 867, 1167)(801, 1101, 870, 1170)(802, 1102, 869, 1169)(803, 1103, 874, 1174)(804, 1104, 873, 1173)(805, 1105, 875, 1175)(806, 1106, 877, 1177)(807, 1107, 853, 1153)(811, 1111, 876, 1176)(815, 1115, 872, 1172)(816, 1116, 886, 1186)(819, 1119, 884, 1184)(820, 1120, 865, 1165)(824, 1124, 868, 1168)(826, 1126, 862, 1162)(827, 1127, 861, 1161)(829, 1129, 889, 1189)(830, 1130, 855, 1155)(833, 1133, 859, 1159)(836, 1136, 890, 1190)(843, 1143, 892, 1192)(844, 1144, 885, 1185)(845, 1145, 888, 1188)(846, 1146, 883, 1183)(847, 1147, 891, 1191)(848, 1148, 881, 1181)(849, 1149, 854, 1154)(850, 1150, 879, 1179)(864, 1164, 896, 1196)(871, 1171, 897, 1197)(878, 1178, 899, 1199)(880, 1180, 895, 1195)(882, 1182, 898, 1198)(887, 1187, 900, 1200)(893, 1193, 894, 1194)
	L = (1, 604)(2, 607)(3, 610)(4, 613)(5, 601)(6, 617)(7, 620)(8, 602)(9, 624)(10, 627)(11, 603)(12, 621)(13, 633)(14, 635)(15, 605)(16, 638)(17, 641)(18, 606)(19, 614)(20, 647)(21, 649)(22, 608)(23, 652)(24, 655)(25, 609)(26, 656)(27, 660)(28, 662)(29, 611)(30, 659)(31, 612)(32, 665)(33, 615)(34, 644)(35, 670)(36, 672)(37, 674)(38, 677)(39, 616)(40, 678)(41, 682)(42, 684)(43, 618)(44, 681)(45, 619)(46, 687)(47, 622)(48, 630)(49, 692)(50, 694)(51, 696)(52, 632)(53, 623)(54, 628)(55, 704)(56, 690)(57, 625)(58, 631)(59, 626)(60, 629)(61, 701)(62, 710)(63, 686)(64, 713)(65, 700)(66, 698)(67, 715)(68, 634)(69, 636)(70, 680)(71, 709)(72, 721)(73, 723)(74, 646)(75, 637)(76, 642)(77, 731)(78, 668)(79, 639)(80, 645)(81, 640)(82, 643)(83, 728)(84, 737)(85, 664)(86, 740)(87, 727)(88, 725)(89, 742)(90, 648)(91, 650)(92, 658)(93, 736)(94, 748)(95, 750)(96, 753)(97, 651)(98, 754)(99, 758)(100, 653)(101, 666)(102, 654)(103, 760)(104, 657)(105, 763)(106, 765)(107, 767)(108, 661)(109, 663)(110, 756)(111, 669)(112, 738)(113, 747)(114, 774)(115, 777)(116, 667)(117, 732)(118, 771)(119, 781)(120, 671)(121, 739)(122, 784)(123, 787)(124, 673)(125, 788)(126, 792)(127, 675)(128, 688)(129, 676)(130, 794)(131, 679)(132, 797)(133, 799)(134, 801)(135, 683)(136, 685)(137, 790)(138, 691)(139, 711)(140, 720)(141, 808)(142, 811)(143, 689)(144, 705)(145, 805)(146, 815)(147, 693)(148, 712)(149, 818)(150, 703)(151, 695)(152, 699)(153, 825)(154, 708)(155, 697)(156, 702)(157, 822)(158, 829)(159, 706)(160, 821)(161, 820)(162, 813)(163, 832)(164, 810)(165, 831)(166, 834)(167, 837)(168, 707)(169, 826)(170, 719)(171, 841)(172, 843)(173, 817)(174, 718)(175, 714)(176, 717)(177, 840)(178, 716)(179, 793)(180, 838)(181, 835)(182, 848)(183, 853)(184, 730)(185, 722)(186, 726)(187, 860)(188, 735)(189, 724)(190, 729)(191, 857)(192, 864)(193, 733)(194, 856)(195, 855)(196, 779)(197, 867)(198, 776)(199, 866)(200, 869)(201, 872)(202, 734)(203, 861)(204, 746)(205, 876)(206, 878)(207, 852)(208, 745)(209, 741)(210, 744)(211, 875)(212, 743)(213, 759)(214, 873)(215, 870)(216, 883)(217, 884)(218, 888)(219, 749)(220, 889)(221, 751)(222, 761)(223, 752)(224, 891)(225, 755)(226, 871)(227, 874)(228, 757)(229, 865)(230, 858)(231, 762)(232, 764)(233, 854)(234, 770)(235, 766)(236, 769)(237, 780)(238, 768)(239, 890)(240, 778)(241, 775)(242, 885)(243, 887)(244, 772)(245, 773)(246, 886)(247, 868)(248, 893)(249, 859)(250, 782)(251, 879)(252, 849)(253, 895)(254, 783)(255, 896)(256, 785)(257, 795)(258, 786)(259, 898)(260, 789)(261, 836)(262, 839)(263, 791)(264, 830)(265, 823)(266, 796)(267, 798)(268, 819)(269, 804)(270, 800)(271, 803)(272, 814)(273, 802)(274, 897)(275, 812)(276, 809)(277, 850)(278, 894)(279, 806)(280, 807)(281, 851)(282, 833)(283, 900)(284, 824)(285, 816)(286, 844)(287, 846)(288, 847)(289, 828)(290, 827)(291, 845)(292, 842)(293, 899)(294, 881)(295, 882)(296, 863)(297, 862)(298, 880)(299, 877)(300, 892)(301, 901)(302, 902)(303, 903)(304, 904)(305, 905)(306, 906)(307, 907)(308, 908)(309, 909)(310, 910)(311, 911)(312, 912)(313, 913)(314, 914)(315, 915)(316, 916)(317, 917)(318, 918)(319, 919)(320, 920)(321, 921)(322, 922)(323, 923)(324, 924)(325, 925)(326, 926)(327, 927)(328, 928)(329, 929)(330, 930)(331, 931)(332, 932)(333, 933)(334, 934)(335, 935)(336, 936)(337, 937)(338, 938)(339, 939)(340, 940)(341, 941)(342, 942)(343, 943)(344, 944)(345, 945)(346, 946)(347, 947)(348, 948)(349, 949)(350, 950)(351, 951)(352, 952)(353, 953)(354, 954)(355, 955)(356, 956)(357, 957)(358, 958)(359, 959)(360, 960)(361, 961)(362, 962)(363, 963)(364, 964)(365, 965)(366, 966)(367, 967)(368, 968)(369, 969)(370, 970)(371, 971)(372, 972)(373, 973)(374, 974)(375, 975)(376, 976)(377, 977)(378, 978)(379, 979)(380, 980)(381, 981)(382, 982)(383, 983)(384, 984)(385, 985)(386, 986)(387, 987)(388, 988)(389, 989)(390, 990)(391, 991)(392, 992)(393, 993)(394, 994)(395, 995)(396, 996)(397, 997)(398, 998)(399, 999)(400, 1000)(401, 1001)(402, 1002)(403, 1003)(404, 1004)(405, 1005)(406, 1006)(407, 1007)(408, 1008)(409, 1009)(410, 1010)(411, 1011)(412, 1012)(413, 1013)(414, 1014)(415, 1015)(416, 1016)(417, 1017)(418, 1018)(419, 1019)(420, 1020)(421, 1021)(422, 1022)(423, 1023)(424, 1024)(425, 1025)(426, 1026)(427, 1027)(428, 1028)(429, 1029)(430, 1030)(431, 1031)(432, 1032)(433, 1033)(434, 1034)(435, 1035)(436, 1036)(437, 1037)(438, 1038)(439, 1039)(440, 1040)(441, 1041)(442, 1042)(443, 1043)(444, 1044)(445, 1045)(446, 1046)(447, 1047)(448, 1048)(449, 1049)(450, 1050)(451, 1051)(452, 1052)(453, 1053)(454, 1054)(455, 1055)(456, 1056)(457, 1057)(458, 1058)(459, 1059)(460, 1060)(461, 1061)(462, 1062)(463, 1063)(464, 1064)(465, 1065)(466, 1066)(467, 1067)(468, 1068)(469, 1069)(470, 1070)(471, 1071)(472, 1072)(473, 1073)(474, 1074)(475, 1075)(476, 1076)(477, 1077)(478, 1078)(479, 1079)(480, 1080)(481, 1081)(482, 1082)(483, 1083)(484, 1084)(485, 1085)(486, 1086)(487, 1087)(488, 1088)(489, 1089)(490, 1090)(491, 1091)(492, 1092)(493, 1093)(494, 1094)(495, 1095)(496, 1096)(497, 1097)(498, 1098)(499, 1099)(500, 1100)(501, 1101)(502, 1102)(503, 1103)(504, 1104)(505, 1105)(506, 1106)(507, 1107)(508, 1108)(509, 1109)(510, 1110)(511, 1111)(512, 1112)(513, 1113)(514, 1114)(515, 1115)(516, 1116)(517, 1117)(518, 1118)(519, 1119)(520, 1120)(521, 1121)(522, 1122)(523, 1123)(524, 1124)(525, 1125)(526, 1126)(527, 1127)(528, 1128)(529, 1129)(530, 1130)(531, 1131)(532, 1132)(533, 1133)(534, 1134)(535, 1135)(536, 1136)(537, 1137)(538, 1138)(539, 1139)(540, 1140)(541, 1141)(542, 1142)(543, 1143)(544, 1144)(545, 1145)(546, 1146)(547, 1147)(548, 1148)(549, 1149)(550, 1150)(551, 1151)(552, 1152)(553, 1153)(554, 1154)(555, 1155)(556, 1156)(557, 1157)(558, 1158)(559, 1159)(560, 1160)(561, 1161)(562, 1162)(563, 1163)(564, 1164)(565, 1165)(566, 1166)(567, 1167)(568, 1168)(569, 1169)(570, 1170)(571, 1171)(572, 1172)(573, 1173)(574, 1174)(575, 1175)(576, 1176)(577, 1177)(578, 1178)(579, 1179)(580, 1180)(581, 1181)(582, 1182)(583, 1183)(584, 1184)(585, 1185)(586, 1186)(587, 1187)(588, 1188)(589, 1189)(590, 1190)(591, 1191)(592, 1192)(593, 1193)(594, 1194)(595, 1195)(596, 1196)(597, 1197)(598, 1198)(599, 1199)(600, 1200)
	local type(s) :: { ( 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E26.1482
Graph:: simple bipartite
	v = 300 e = 600 f = 250
	degree seq :: [ 4^300 ]

E26.1480 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = (((C5 x C5) : C3) : C2) : C2 (small group id <300, 25>)
Aut   = $<600, 154>$ (small group id <600, 154>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y3 * Y2 * Y1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1)^3, Y3^6, (Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1)^2, Y3^-1 * Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3^-2 * Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3^-2 * Y1 * Y3 * Y1, (Y3^-1 * Y1 * Y3 * Y1)^5 ]
Map:: polytopal non-degenerate
	R = (1, 301, 2, 302)(3, 303, 9, 309)(4, 304, 12, 312)(5, 305, 14, 314)(6, 306, 16, 316)(7, 307, 19, 319)(8, 308, 21, 321)(10, 310, 26, 326)(11, 311, 18, 318)(13, 313, 31, 331)(15, 315, 33, 333)(17, 317, 37, 337)(20, 320, 42, 342)(22, 322, 44, 344)(23, 323, 45, 345)(24, 324, 39, 339)(25, 325, 47, 347)(27, 327, 51, 351)(28, 328, 35, 335)(29, 329, 53, 353)(30, 330, 55, 355)(32, 332, 59, 359)(34, 334, 60, 360)(36, 336, 62, 362)(38, 338, 66, 366)(40, 340, 68, 368)(41, 341, 70, 370)(43, 343, 74, 374)(46, 346, 77, 377)(48, 348, 78, 378)(49, 349, 79, 379)(50, 350, 81, 381)(52, 352, 85, 385)(54, 354, 88, 388)(56, 356, 89, 389)(57, 357, 84, 384)(58, 358, 83, 383)(61, 361, 94, 394)(63, 363, 95, 395)(64, 364, 96, 396)(65, 365, 98, 398)(67, 367, 102, 402)(69, 369, 105, 405)(71, 371, 106, 406)(72, 372, 101, 401)(73, 373, 100, 400)(75, 375, 109, 409)(76, 376, 111, 411)(80, 380, 117, 417)(82, 382, 118, 418)(86, 386, 121, 421)(87, 387, 123, 423)(90, 390, 127, 427)(91, 391, 128, 428)(92, 392, 129, 429)(93, 393, 131, 431)(97, 397, 137, 437)(99, 399, 138, 438)(103, 403, 141, 441)(104, 404, 143, 443)(107, 407, 147, 447)(108, 408, 148, 448)(110, 410, 151, 451)(112, 412, 152, 452)(113, 413, 146, 446)(114, 414, 145, 445)(115, 415, 155, 455)(116, 416, 157, 457)(119, 419, 161, 461)(120, 420, 162, 462)(122, 422, 165, 465)(124, 424, 166, 466)(125, 425, 134, 434)(126, 426, 133, 433)(130, 430, 173, 473)(132, 432, 174, 474)(135, 435, 177, 477)(136, 436, 179, 479)(139, 439, 183, 483)(140, 440, 184, 484)(142, 442, 187, 487)(144, 444, 188, 488)(149, 449, 193, 493)(150, 450, 195, 495)(153, 453, 199, 499)(154, 454, 200, 500)(156, 456, 203, 503)(158, 458, 204, 504)(159, 459, 198, 498)(160, 460, 197, 497)(163, 463, 209, 509)(164, 464, 211, 511)(167, 467, 215, 515)(168, 468, 216, 516)(169, 469, 214, 514)(170, 470, 213, 513)(171, 471, 219, 519)(172, 472, 221, 521)(175, 475, 225, 525)(176, 476, 226, 526)(178, 478, 229, 529)(180, 480, 230, 530)(181, 481, 224, 524)(182, 482, 223, 523)(185, 485, 235, 535)(186, 486, 237, 537)(189, 489, 241, 541)(190, 490, 242, 542)(191, 491, 240, 540)(192, 492, 239, 539)(194, 494, 247, 547)(196, 496, 248, 548)(201, 501, 253, 553)(202, 502, 255, 555)(205, 505, 259, 559)(206, 506, 260, 560)(207, 507, 258, 558)(208, 508, 257, 557)(210, 510, 265, 565)(212, 512, 266, 566)(217, 517, 271, 571)(218, 518, 272, 572)(220, 520, 275, 575)(222, 522, 276, 576)(227, 527, 281, 581)(228, 528, 283, 583)(231, 531, 287, 587)(232, 532, 288, 588)(233, 533, 286, 586)(234, 534, 285, 585)(236, 536, 293, 593)(238, 538, 294, 594)(243, 543, 299, 599)(244, 544, 300, 600)(245, 545, 273, 573)(246, 546, 274, 574)(249, 549, 279, 579)(250, 550, 280, 580)(251, 551, 277, 577)(252, 552, 278, 578)(254, 554, 290, 590)(256, 556, 289, 589)(261, 561, 284, 584)(262, 562, 282, 582)(263, 563, 291, 591)(264, 564, 292, 592)(267, 567, 297, 597)(268, 568, 298, 598)(269, 569, 295, 595)(270, 570, 296, 596)(601, 901, 603, 903)(602, 902, 606, 906)(604, 904, 611, 911)(605, 905, 610, 910)(607, 907, 618, 918)(608, 908, 617, 917)(609, 909, 623, 923)(612, 912, 629, 929)(613, 913, 628, 928)(614, 914, 624, 924)(615, 915, 627, 927)(616, 916, 634, 934)(619, 919, 640, 940)(620, 920, 639, 939)(621, 921, 635, 935)(622, 922, 638, 938)(625, 925, 646, 946)(626, 926, 649, 949)(630, 930, 654, 954)(631, 931, 657, 957)(632, 932, 652, 952)(633, 933, 647, 947)(636, 936, 661, 961)(637, 937, 664, 964)(641, 941, 669, 969)(642, 942, 672, 972)(643, 943, 667, 967)(644, 944, 662, 962)(645, 945, 675, 975)(648, 948, 671, 971)(650, 950, 680, 980)(651, 951, 683, 983)(653, 953, 686, 986)(655, 955, 685, 985)(656, 956, 663, 963)(658, 958, 690, 990)(659, 959, 681, 981)(660, 960, 692, 992)(665, 965, 697, 997)(666, 966, 700, 1000)(668, 968, 703, 1003)(670, 970, 702, 1002)(673, 973, 707, 1007)(674, 974, 698, 998)(676, 976, 710, 1010)(677, 977, 713, 1013)(678, 978, 711, 1011)(679, 979, 715, 1015)(682, 982, 712, 1012)(684, 984, 719, 1019)(687, 987, 722, 1022)(688, 988, 725, 1025)(689, 989, 723, 1023)(691, 991, 724, 1024)(693, 993, 730, 1030)(694, 994, 733, 1033)(695, 995, 731, 1031)(696, 996, 735, 1035)(699, 999, 732, 1032)(701, 1001, 739, 1039)(704, 1004, 742, 1042)(705, 1005, 745, 1045)(706, 1006, 743, 1043)(708, 1008, 744, 1044)(709, 1009, 749, 1049)(714, 1014, 753, 1053)(716, 1016, 756, 1056)(717, 1017, 759, 1059)(718, 1018, 757, 1057)(720, 1020, 758, 1058)(721, 1021, 763, 1063)(726, 1026, 767, 1067)(727, 1027, 769, 1069)(728, 1028, 762, 1062)(729, 1029, 771, 1071)(734, 1034, 775, 1075)(736, 1036, 778, 1078)(737, 1037, 781, 1081)(738, 1038, 779, 1079)(740, 1040, 780, 1080)(741, 1041, 785, 1085)(746, 1046, 789, 1089)(747, 1047, 791, 1091)(748, 1048, 784, 1084)(750, 1050, 794, 1094)(751, 1051, 797, 1097)(752, 1052, 795, 1095)(754, 1054, 796, 1096)(755, 1055, 801, 1101)(760, 1060, 805, 1105)(761, 1061, 807, 1107)(764, 1064, 810, 1110)(765, 1065, 813, 1113)(766, 1066, 811, 1111)(768, 1068, 812, 1112)(770, 1070, 817, 1117)(772, 1072, 820, 1120)(773, 1073, 823, 1123)(774, 1074, 821, 1121)(776, 1076, 822, 1122)(777, 1077, 827, 1127)(782, 1082, 831, 1131)(783, 1083, 833, 1133)(786, 1086, 836, 1136)(787, 1087, 839, 1139)(788, 1088, 837, 1137)(790, 1090, 838, 1138)(792, 1092, 843, 1143)(793, 1093, 845, 1145)(798, 1098, 849, 1149)(799, 1099, 851, 1151)(800, 1100, 842, 1142)(802, 1102, 854, 1154)(803, 1103, 857, 1157)(804, 1104, 855, 1155)(806, 1106, 856, 1156)(808, 1108, 861, 1161)(809, 1109, 863, 1163)(814, 1114, 867, 1167)(815, 1115, 869, 1169)(816, 1116, 826, 1126)(818, 1118, 862, 1162)(819, 1119, 873, 1173)(824, 1124, 877, 1177)(825, 1125, 879, 1179)(828, 1128, 882, 1182)(829, 1129, 885, 1185)(830, 1130, 883, 1183)(832, 1132, 884, 1184)(834, 1134, 889, 1189)(835, 1135, 891, 1191)(840, 1140, 895, 1195)(841, 1141, 897, 1197)(844, 1144, 890, 1190)(846, 1146, 876, 1176)(847, 1147, 878, 1178)(848, 1148, 874, 1174)(850, 1150, 875, 1175)(852, 1152, 888, 1188)(853, 1153, 886, 1186)(858, 1158, 881, 1181)(859, 1159, 899, 1199)(860, 1160, 880, 1180)(864, 1164, 894, 1194)(865, 1165, 896, 1196)(866, 1166, 892, 1192)(868, 1168, 893, 1193)(870, 1170, 900, 1200)(871, 1171, 887, 1187)(872, 1172, 898, 1198)
	L = (1, 604)(2, 607)(3, 610)(4, 613)(5, 601)(6, 617)(7, 620)(8, 602)(9, 624)(10, 627)(11, 603)(12, 621)(13, 632)(14, 623)(15, 605)(16, 635)(17, 638)(18, 606)(19, 614)(20, 643)(21, 634)(22, 608)(23, 646)(24, 640)(25, 609)(26, 647)(27, 652)(28, 611)(29, 654)(30, 612)(31, 655)(32, 615)(33, 649)(34, 661)(35, 629)(36, 616)(37, 662)(38, 667)(39, 618)(40, 669)(41, 619)(42, 670)(43, 622)(44, 664)(45, 633)(46, 671)(47, 675)(48, 625)(49, 680)(50, 626)(51, 681)(52, 628)(53, 685)(54, 663)(55, 686)(56, 630)(57, 690)(58, 631)(59, 683)(60, 644)(61, 656)(62, 692)(63, 636)(64, 697)(65, 637)(66, 698)(67, 639)(68, 702)(69, 648)(70, 703)(71, 641)(72, 707)(73, 642)(74, 700)(75, 710)(76, 645)(77, 711)(78, 713)(79, 659)(80, 712)(81, 715)(82, 650)(83, 719)(84, 651)(85, 657)(86, 722)(87, 653)(88, 723)(89, 725)(90, 724)(91, 658)(92, 730)(93, 660)(94, 731)(95, 733)(96, 674)(97, 732)(98, 735)(99, 665)(100, 739)(101, 666)(102, 672)(103, 742)(104, 668)(105, 743)(106, 745)(107, 744)(108, 673)(109, 678)(110, 682)(111, 749)(112, 676)(113, 753)(114, 677)(115, 756)(116, 679)(117, 757)(118, 759)(119, 758)(120, 684)(121, 689)(122, 691)(123, 763)(124, 687)(125, 767)(126, 688)(127, 762)(128, 769)(129, 695)(130, 699)(131, 771)(132, 693)(133, 775)(134, 694)(135, 778)(136, 696)(137, 779)(138, 781)(139, 780)(140, 701)(141, 706)(142, 708)(143, 785)(144, 704)(145, 789)(146, 705)(147, 784)(148, 791)(149, 794)(150, 709)(151, 795)(152, 797)(153, 796)(154, 714)(155, 718)(156, 720)(157, 801)(158, 716)(159, 805)(160, 717)(161, 728)(162, 807)(163, 810)(164, 721)(165, 811)(166, 813)(167, 812)(168, 726)(169, 817)(170, 727)(171, 820)(172, 729)(173, 821)(174, 823)(175, 822)(176, 734)(177, 738)(178, 740)(179, 827)(180, 736)(181, 831)(182, 737)(183, 748)(184, 833)(185, 836)(186, 741)(187, 837)(188, 839)(189, 838)(190, 746)(191, 843)(192, 747)(193, 752)(194, 754)(195, 845)(196, 750)(197, 849)(198, 751)(199, 842)(200, 851)(201, 854)(202, 755)(203, 855)(204, 857)(205, 856)(206, 760)(207, 861)(208, 761)(209, 766)(210, 768)(211, 863)(212, 764)(213, 867)(214, 765)(215, 826)(216, 869)(217, 862)(218, 770)(219, 774)(220, 776)(221, 873)(222, 772)(223, 877)(224, 773)(225, 816)(226, 879)(227, 882)(228, 777)(229, 883)(230, 885)(231, 884)(232, 782)(233, 889)(234, 783)(235, 788)(236, 790)(237, 891)(238, 786)(239, 895)(240, 787)(241, 800)(242, 897)(243, 890)(244, 792)(245, 876)(246, 793)(247, 874)(248, 878)(249, 875)(250, 798)(251, 888)(252, 799)(253, 804)(254, 806)(255, 886)(256, 802)(257, 881)(258, 803)(259, 880)(260, 899)(261, 818)(262, 808)(263, 894)(264, 809)(265, 892)(266, 896)(267, 893)(268, 814)(269, 900)(270, 815)(271, 898)(272, 887)(273, 848)(274, 819)(275, 846)(276, 850)(277, 847)(278, 824)(279, 860)(280, 825)(281, 830)(282, 832)(283, 858)(284, 828)(285, 853)(286, 829)(287, 852)(288, 871)(289, 844)(290, 834)(291, 866)(292, 835)(293, 864)(294, 868)(295, 865)(296, 840)(297, 872)(298, 841)(299, 870)(300, 859)(301, 901)(302, 902)(303, 903)(304, 904)(305, 905)(306, 906)(307, 907)(308, 908)(309, 909)(310, 910)(311, 911)(312, 912)(313, 913)(314, 914)(315, 915)(316, 916)(317, 917)(318, 918)(319, 919)(320, 920)(321, 921)(322, 922)(323, 923)(324, 924)(325, 925)(326, 926)(327, 927)(328, 928)(329, 929)(330, 930)(331, 931)(332, 932)(333, 933)(334, 934)(335, 935)(336, 936)(337, 937)(338, 938)(339, 939)(340, 940)(341, 941)(342, 942)(343, 943)(344, 944)(345, 945)(346, 946)(347, 947)(348, 948)(349, 949)(350, 950)(351, 951)(352, 952)(353, 953)(354, 954)(355, 955)(356, 956)(357, 957)(358, 958)(359, 959)(360, 960)(361, 961)(362, 962)(363, 963)(364, 964)(365, 965)(366, 966)(367, 967)(368, 968)(369, 969)(370, 970)(371, 971)(372, 972)(373, 973)(374, 974)(375, 975)(376, 976)(377, 977)(378, 978)(379, 979)(380, 980)(381, 981)(382, 982)(383, 983)(384, 984)(385, 985)(386, 986)(387, 987)(388, 988)(389, 989)(390, 990)(391, 991)(392, 992)(393, 993)(394, 994)(395, 995)(396, 996)(397, 997)(398, 998)(399, 999)(400, 1000)(401, 1001)(402, 1002)(403, 1003)(404, 1004)(405, 1005)(406, 1006)(407, 1007)(408, 1008)(409, 1009)(410, 1010)(411, 1011)(412, 1012)(413, 1013)(414, 1014)(415, 1015)(416, 1016)(417, 1017)(418, 1018)(419, 1019)(420, 1020)(421, 1021)(422, 1022)(423, 1023)(424, 1024)(425, 1025)(426, 1026)(427, 1027)(428, 1028)(429, 1029)(430, 1030)(431, 1031)(432, 1032)(433, 1033)(434, 1034)(435, 1035)(436, 1036)(437, 1037)(438, 1038)(439, 1039)(440, 1040)(441, 1041)(442, 1042)(443, 1043)(444, 1044)(445, 1045)(446, 1046)(447, 1047)(448, 1048)(449, 1049)(450, 1050)(451, 1051)(452, 1052)(453, 1053)(454, 1054)(455, 1055)(456, 1056)(457, 1057)(458, 1058)(459, 1059)(460, 1060)(461, 1061)(462, 1062)(463, 1063)(464, 1064)(465, 1065)(466, 1066)(467, 1067)(468, 1068)(469, 1069)(470, 1070)(471, 1071)(472, 1072)(473, 1073)(474, 1074)(475, 1075)(476, 1076)(477, 1077)(478, 1078)(479, 1079)(480, 1080)(481, 1081)(482, 1082)(483, 1083)(484, 1084)(485, 1085)(486, 1086)(487, 1087)(488, 1088)(489, 1089)(490, 1090)(491, 1091)(492, 1092)(493, 1093)(494, 1094)(495, 1095)(496, 1096)(497, 1097)(498, 1098)(499, 1099)(500, 1100)(501, 1101)(502, 1102)(503, 1103)(504, 1104)(505, 1105)(506, 1106)(507, 1107)(508, 1108)(509, 1109)(510, 1110)(511, 1111)(512, 1112)(513, 1113)(514, 1114)(515, 1115)(516, 1116)(517, 1117)(518, 1118)(519, 1119)(520, 1120)(521, 1121)(522, 1122)(523, 1123)(524, 1124)(525, 1125)(526, 1126)(527, 1127)(528, 1128)(529, 1129)(530, 1130)(531, 1131)(532, 1132)(533, 1133)(534, 1134)(535, 1135)(536, 1136)(537, 1137)(538, 1138)(539, 1139)(540, 1140)(541, 1141)(542, 1142)(543, 1143)(544, 1144)(545, 1145)(546, 1146)(547, 1147)(548, 1148)(549, 1149)(550, 1150)(551, 1151)(552, 1152)(553, 1153)(554, 1154)(555, 1155)(556, 1156)(557, 1157)(558, 1158)(559, 1159)(560, 1160)(561, 1161)(562, 1162)(563, 1163)(564, 1164)(565, 1165)(566, 1166)(567, 1167)(568, 1168)(569, 1169)(570, 1170)(571, 1171)(572, 1172)(573, 1173)(574, 1174)(575, 1175)(576, 1176)(577, 1177)(578, 1178)(579, 1179)(580, 1180)(581, 1181)(582, 1182)(583, 1183)(584, 1184)(585, 1185)(586, 1186)(587, 1187)(588, 1188)(589, 1189)(590, 1190)(591, 1191)(592, 1192)(593, 1193)(594, 1194)(595, 1195)(596, 1196)(597, 1197)(598, 1198)(599, 1199)(600, 1200)
	local type(s) :: { ( 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E26.1481
Graph:: simple bipartite
	v = 300 e = 600 f = 250
	degree seq :: [ 4^300 ]

E26.1481 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = (((C5 x C5) : C3) : C2) : C2 (small group id <300, 25>)
Aut   = $<600, 154>$ (small group id <600, 154>)
|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^-1 * Y2 * Y3 * Y1^-1)^2, (Y2 * Y1^-1)^10 ]
Map:: polytopal non-degenerate
	R = (1, 301, 2, 302, 5, 305)(3, 303, 8, 308, 10, 310)(4, 304, 11, 311, 7, 307)(6, 306, 13, 313, 15, 315)(9, 309, 18, 318, 17, 317)(12, 312, 21, 321, 22, 322)(14, 314, 25, 325, 24, 324)(16, 316, 27, 327, 29, 329)(19, 319, 31, 331, 32, 332)(20, 320, 33, 333, 34, 334)(23, 323, 37, 337, 39, 339)(26, 326, 41, 341, 42, 342)(28, 328, 45, 345, 44, 344)(30, 330, 47, 347, 48, 348)(35, 335, 53, 353, 54, 354)(36, 336, 55, 355, 56, 356)(38, 338, 59, 359, 58, 358)(40, 340, 61, 361, 62, 362)(43, 343, 65, 365, 67, 367)(46, 346, 63, 363, 69, 369)(49, 349, 72, 372, 73, 373)(50, 350, 74, 374, 75, 375)(51, 351, 76, 376, 77, 377)(52, 352, 78, 378, 79, 379)(57, 357, 83, 383, 85, 385)(60, 360, 81, 381, 87, 387)(64, 364, 90, 390, 91, 391)(66, 366, 94, 394, 93, 393)(68, 368, 96, 396, 89, 389)(70, 370, 98, 398, 99, 399)(71, 371, 100, 400, 101, 401)(80, 380, 108, 408, 109, 409)(82, 382, 110, 410, 111, 411)(84, 384, 114, 414, 113, 413)(86, 386, 116, 416, 106, 406)(88, 388, 118, 418, 119, 419)(92, 392, 122, 422, 124, 424)(95, 395, 103, 403, 126, 426)(97, 397, 128, 428, 129, 429)(102, 402, 133, 433, 134, 434)(104, 404, 135, 435, 136, 436)(105, 405, 137, 437, 138, 438)(107, 407, 139, 439, 140, 440)(112, 412, 145, 445, 147, 447)(115, 415, 120, 420, 149, 449)(117, 417, 151, 451, 152, 452)(121, 421, 155, 455, 156, 456)(123, 423, 159, 459, 158, 458)(125, 425, 161, 461, 131, 431)(127, 427, 163, 463, 164, 464)(130, 430, 167, 467, 168, 468)(132, 432, 169, 469, 170, 470)(141, 441, 179, 479, 180, 480)(142, 442, 143, 443, 181, 481)(144, 444, 182, 482, 183, 483)(146, 446, 186, 486, 185, 485)(148, 448, 188, 488, 154, 454)(150, 450, 190, 490, 191, 491)(153, 453, 194, 494, 195, 495)(157, 457, 198, 498, 200, 500)(160, 460, 165, 465, 202, 502)(162, 462, 204, 504, 205, 505)(166, 466, 196, 496, 208, 508)(171, 471, 213, 513, 214, 514)(172, 472, 173, 473, 215, 515)(174, 474, 216, 516, 184, 484)(175, 475, 217, 517, 218, 518)(176, 476, 177, 477, 219, 519)(178, 478, 220, 520, 221, 521)(187, 487, 192, 492, 227, 527)(189, 489, 229, 529, 230, 530)(193, 493, 224, 524, 233, 533)(197, 497, 236, 536, 222, 522)(199, 499, 238, 538, 237, 537)(201, 501, 240, 540, 207, 507)(203, 503, 242, 542, 243, 543)(206, 506, 246, 546, 235, 535)(209, 509, 225, 525, 248, 548)(210, 510, 211, 511, 249, 549)(212, 512, 250, 550, 251, 551)(223, 523, 258, 558, 259, 559)(226, 526, 260, 560, 232, 532)(228, 528, 262, 562, 263, 563)(231, 531, 266, 566, 255, 555)(234, 534, 257, 557, 268, 568)(239, 539, 244, 544, 271, 571)(241, 541, 267, 567, 273, 573)(245, 545, 254, 554, 264, 564)(247, 547, 277, 577, 252, 552)(253, 553, 281, 581, 261, 561)(256, 556, 282, 582, 283, 583)(265, 565, 269, 569, 284, 584)(270, 570, 290, 590, 275, 575)(272, 572, 291, 591, 288, 588)(274, 574, 287, 587, 278, 578)(276, 576, 280, 580, 293, 593)(279, 579, 285, 585, 295, 595)(286, 586, 297, 597, 289, 589)(292, 592, 294, 594, 296, 596)(298, 598, 300, 600, 299, 599)(601, 901, 603, 903)(602, 902, 606, 906)(604, 904, 609, 909)(605, 905, 612, 912)(607, 907, 614, 914)(608, 908, 616, 916)(610, 910, 619, 919)(611, 911, 620, 920)(613, 913, 623, 923)(615, 915, 626, 926)(617, 917, 628, 928)(618, 918, 630, 930)(621, 921, 635, 935)(622, 922, 636, 936)(624, 924, 638, 938)(625, 925, 640, 940)(627, 927, 643, 943)(629, 929, 646, 946)(631, 931, 649, 949)(632, 932, 650, 950)(633, 933, 651, 951)(634, 934, 652, 952)(637, 937, 657, 957)(639, 939, 660, 960)(641, 941, 663, 963)(642, 942, 664, 964)(644, 944, 666, 966)(645, 945, 668, 968)(647, 947, 670, 970)(648, 948, 671, 971)(653, 953, 680, 980)(654, 954, 673, 973)(655, 955, 681, 981)(656, 956, 682, 982)(658, 958, 684, 984)(659, 959, 686, 986)(661, 961, 688, 988)(662, 962, 689, 989)(665, 965, 692, 992)(667, 967, 695, 995)(669, 969, 697, 997)(672, 972, 702, 1002)(674, 974, 703, 1003)(675, 975, 704, 1004)(676, 976, 705, 1005)(677, 977, 706, 1006)(678, 978, 700, 1000)(679, 979, 707, 1007)(683, 983, 712, 1012)(685, 985, 715, 1015)(687, 987, 717, 1017)(690, 990, 720, 1020)(691, 991, 721, 1021)(693, 993, 723, 1023)(694, 994, 725, 1025)(696, 996, 727, 1027)(698, 998, 730, 1030)(699, 999, 731, 1031)(701, 1001, 732, 1032)(708, 1008, 741, 1041)(709, 1009, 742, 1042)(710, 1010, 743, 1043)(711, 1011, 744, 1044)(713, 1013, 746, 1046)(714, 1014, 748, 1048)(716, 1016, 750, 1050)(718, 1018, 753, 1053)(719, 1019, 754, 1054)(722, 1022, 757, 1057)(724, 1024, 760, 1060)(726, 1026, 762, 1062)(728, 1028, 765, 1065)(729, 1029, 766, 1066)(733, 1033, 771, 1071)(734, 1034, 772, 1072)(735, 1035, 773, 1073)(736, 1036, 774, 1074)(737, 1037, 775, 1075)(738, 1038, 776, 1076)(739, 1039, 777, 1077)(740, 1040, 778, 1078)(745, 1045, 784, 1084)(747, 1047, 787, 1087)(749, 1049, 789, 1089)(751, 1051, 792, 1092)(752, 1052, 793, 1093)(755, 1055, 796, 1096)(756, 1056, 797, 1097)(758, 1058, 799, 1099)(759, 1059, 801, 1101)(761, 1061, 803, 1103)(763, 1063, 806, 1106)(764, 1064, 807, 1107)(767, 1067, 809, 1109)(768, 1068, 810, 1110)(769, 1069, 811, 1111)(770, 1070, 812, 1112)(779, 1079, 822, 1122)(780, 1080, 814, 1114)(781, 1081, 823, 1123)(782, 1082, 824, 1124)(783, 1083, 798, 1098)(785, 1085, 825, 1125)(786, 1086, 826, 1126)(788, 1088, 828, 1128)(790, 1090, 831, 1131)(791, 1091, 832, 1132)(794, 1094, 834, 1134)(795, 1095, 835, 1135)(800, 1100, 839, 1139)(802, 1102, 841, 1141)(804, 1104, 844, 1144)(805, 1105, 845, 1145)(808, 1108, 847, 1147)(813, 1113, 852, 1152)(815, 1115, 853, 1153)(816, 1116, 854, 1154)(817, 1117, 837, 1137)(818, 1118, 855, 1155)(819, 1119, 856, 1156)(820, 1120, 850, 1150)(821, 1121, 857, 1157)(827, 1127, 861, 1161)(829, 1129, 864, 1164)(830, 1130, 865, 1165)(833, 1133, 867, 1167)(836, 1136, 869, 1169)(838, 1138, 870, 1170)(840, 1140, 872, 1172)(842, 1142, 874, 1174)(843, 1143, 875, 1175)(846, 1146, 876, 1176)(848, 1148, 878, 1178)(849, 1149, 879, 1179)(851, 1151, 880, 1180)(858, 1158, 884, 1184)(859, 1159, 871, 1171)(860, 1160, 885, 1185)(862, 1162, 886, 1186)(863, 1163, 887, 1187)(866, 1166, 888, 1188)(868, 1168, 889, 1189)(873, 1173, 892, 1192)(877, 1177, 894, 1194)(881, 1181, 896, 1196)(882, 1182, 890, 1190)(883, 1183, 897, 1197)(891, 1191, 898, 1198)(893, 1193, 899, 1199)(895, 1195, 900, 1200)
	L = (1, 604)(2, 607)(3, 609)(4, 601)(5, 611)(6, 614)(7, 602)(8, 617)(9, 603)(10, 618)(11, 605)(12, 620)(13, 624)(14, 606)(15, 625)(16, 628)(17, 608)(18, 610)(19, 630)(20, 612)(21, 634)(22, 633)(23, 638)(24, 613)(25, 615)(26, 640)(27, 644)(28, 616)(29, 645)(30, 619)(31, 648)(32, 647)(33, 622)(34, 621)(35, 652)(36, 651)(37, 658)(38, 623)(39, 659)(40, 626)(41, 662)(42, 661)(43, 666)(44, 627)(45, 629)(46, 668)(47, 632)(48, 631)(49, 671)(50, 670)(51, 636)(52, 635)(53, 679)(54, 678)(55, 677)(56, 676)(57, 684)(58, 637)(59, 639)(60, 686)(61, 642)(62, 641)(63, 689)(64, 688)(65, 693)(66, 643)(67, 694)(68, 646)(69, 696)(70, 650)(71, 649)(72, 701)(73, 700)(74, 699)(75, 698)(76, 656)(77, 655)(78, 654)(79, 653)(80, 707)(81, 706)(82, 705)(83, 713)(84, 657)(85, 714)(86, 660)(87, 716)(88, 664)(89, 663)(90, 719)(91, 718)(92, 723)(93, 665)(94, 667)(95, 725)(96, 669)(97, 727)(98, 675)(99, 674)(100, 673)(101, 672)(102, 732)(103, 731)(104, 730)(105, 682)(106, 681)(107, 680)(108, 740)(109, 739)(110, 738)(111, 737)(112, 746)(113, 683)(114, 685)(115, 748)(116, 687)(117, 750)(118, 691)(119, 690)(120, 754)(121, 753)(122, 758)(123, 692)(124, 759)(125, 695)(126, 761)(127, 697)(128, 764)(129, 763)(130, 704)(131, 703)(132, 702)(133, 770)(134, 769)(135, 768)(136, 767)(137, 711)(138, 710)(139, 709)(140, 708)(141, 778)(142, 777)(143, 776)(144, 775)(145, 785)(146, 712)(147, 786)(148, 715)(149, 788)(150, 717)(151, 791)(152, 790)(153, 721)(154, 720)(155, 795)(156, 794)(157, 799)(158, 722)(159, 724)(160, 801)(161, 726)(162, 803)(163, 729)(164, 728)(165, 807)(166, 806)(167, 736)(168, 735)(169, 734)(170, 733)(171, 812)(172, 811)(173, 810)(174, 809)(175, 744)(176, 743)(177, 742)(178, 741)(179, 821)(180, 820)(181, 819)(182, 818)(183, 817)(184, 825)(185, 745)(186, 747)(187, 826)(188, 749)(189, 828)(190, 752)(191, 751)(192, 832)(193, 831)(194, 756)(195, 755)(196, 835)(197, 834)(198, 837)(199, 757)(200, 838)(201, 760)(202, 840)(203, 762)(204, 843)(205, 842)(206, 766)(207, 765)(208, 846)(209, 774)(210, 773)(211, 772)(212, 771)(213, 851)(214, 850)(215, 849)(216, 848)(217, 783)(218, 782)(219, 781)(220, 780)(221, 779)(222, 857)(223, 856)(224, 855)(225, 784)(226, 787)(227, 860)(228, 789)(229, 863)(230, 862)(231, 793)(232, 792)(233, 866)(234, 797)(235, 796)(236, 868)(237, 798)(238, 800)(239, 870)(240, 802)(241, 872)(242, 805)(243, 804)(244, 875)(245, 874)(246, 808)(247, 876)(248, 816)(249, 815)(250, 814)(251, 813)(252, 880)(253, 879)(254, 878)(255, 824)(256, 823)(257, 822)(258, 883)(259, 882)(260, 827)(261, 885)(262, 830)(263, 829)(264, 887)(265, 886)(266, 833)(267, 888)(268, 836)(269, 889)(270, 839)(271, 890)(272, 841)(273, 891)(274, 845)(275, 844)(276, 847)(277, 893)(278, 854)(279, 853)(280, 852)(281, 895)(282, 859)(283, 858)(284, 897)(285, 861)(286, 865)(287, 864)(288, 867)(289, 869)(290, 871)(291, 873)(292, 898)(293, 877)(294, 899)(295, 881)(296, 900)(297, 884)(298, 892)(299, 894)(300, 896)(301, 901)(302, 902)(303, 903)(304, 904)(305, 905)(306, 906)(307, 907)(308, 908)(309, 909)(310, 910)(311, 911)(312, 912)(313, 913)(314, 914)(315, 915)(316, 916)(317, 917)(318, 918)(319, 919)(320, 920)(321, 921)(322, 922)(323, 923)(324, 924)(325, 925)(326, 926)(327, 927)(328, 928)(329, 929)(330, 930)(331, 931)(332, 932)(333, 933)(334, 934)(335, 935)(336, 936)(337, 937)(338, 938)(339, 939)(340, 940)(341, 941)(342, 942)(343, 943)(344, 944)(345, 945)(346, 946)(347, 947)(348, 948)(349, 949)(350, 950)(351, 951)(352, 952)(353, 953)(354, 954)(355, 955)(356, 956)(357, 957)(358, 958)(359, 959)(360, 960)(361, 961)(362, 962)(363, 963)(364, 964)(365, 965)(366, 966)(367, 967)(368, 968)(369, 969)(370, 970)(371, 971)(372, 972)(373, 973)(374, 974)(375, 975)(376, 976)(377, 977)(378, 978)(379, 979)(380, 980)(381, 981)(382, 982)(383, 983)(384, 984)(385, 985)(386, 986)(387, 987)(388, 988)(389, 989)(390, 990)(391, 991)(392, 992)(393, 993)(394, 994)(395, 995)(396, 996)(397, 997)(398, 998)(399, 999)(400, 1000)(401, 1001)(402, 1002)(403, 1003)(404, 1004)(405, 1005)(406, 1006)(407, 1007)(408, 1008)(409, 1009)(410, 1010)(411, 1011)(412, 1012)(413, 1013)(414, 1014)(415, 1015)(416, 1016)(417, 1017)(418, 1018)(419, 1019)(420, 1020)(421, 1021)(422, 1022)(423, 1023)(424, 1024)(425, 1025)(426, 1026)(427, 1027)(428, 1028)(429, 1029)(430, 1030)(431, 1031)(432, 1032)(433, 1033)(434, 1034)(435, 1035)(436, 1036)(437, 1037)(438, 1038)(439, 1039)(440, 1040)(441, 1041)(442, 1042)(443, 1043)(444, 1044)(445, 1045)(446, 1046)(447, 1047)(448, 1048)(449, 1049)(450, 1050)(451, 1051)(452, 1052)(453, 1053)(454, 1054)(455, 1055)(456, 1056)(457, 1057)(458, 1058)(459, 1059)(460, 1060)(461, 1061)(462, 1062)(463, 1063)(464, 1064)(465, 1065)(466, 1066)(467, 1067)(468, 1068)(469, 1069)(470, 1070)(471, 1071)(472, 1072)(473, 1073)(474, 1074)(475, 1075)(476, 1076)(477, 1077)(478, 1078)(479, 1079)(480, 1080)(481, 1081)(482, 1082)(483, 1083)(484, 1084)(485, 1085)(486, 1086)(487, 1087)(488, 1088)(489, 1089)(490, 1090)(491, 1091)(492, 1092)(493, 1093)(494, 1094)(495, 1095)(496, 1096)(497, 1097)(498, 1098)(499, 1099)(500, 1100)(501, 1101)(502, 1102)(503, 1103)(504, 1104)(505, 1105)(506, 1106)(507, 1107)(508, 1108)(509, 1109)(510, 1110)(511, 1111)(512, 1112)(513, 1113)(514, 1114)(515, 1115)(516, 1116)(517, 1117)(518, 1118)(519, 1119)(520, 1120)(521, 1121)(522, 1122)(523, 1123)(524, 1124)(525, 1125)(526, 1126)(527, 1127)(528, 1128)(529, 1129)(530, 1130)(531, 1131)(532, 1132)(533, 1133)(534, 1134)(535, 1135)(536, 1136)(537, 1137)(538, 1138)(539, 1139)(540, 1140)(541, 1141)(542, 1142)(543, 1143)(544, 1144)(545, 1145)(546, 1146)(547, 1147)(548, 1148)(549, 1149)(550, 1150)(551, 1151)(552, 1152)(553, 1153)(554, 1154)(555, 1155)(556, 1156)(557, 1157)(558, 1158)(559, 1159)(560, 1160)(561, 1161)(562, 1162)(563, 1163)(564, 1164)(565, 1165)(566, 1166)(567, 1167)(568, 1168)(569, 1169)(570, 1170)(571, 1171)(572, 1172)(573, 1173)(574, 1174)(575, 1175)(576, 1176)(577, 1177)(578, 1178)(579, 1179)(580, 1180)(581, 1181)(582, 1182)(583, 1183)(584, 1184)(585, 1185)(586, 1186)(587, 1187)(588, 1188)(589, 1189)(590, 1190)(591, 1191)(592, 1192)(593, 1193)(594, 1194)(595, 1195)(596, 1196)(597, 1197)(598, 1198)(599, 1199)(600, 1200)
	local type(s) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E26.1480
Graph:: simple bipartite
	v = 250 e = 600 f = 300
	degree seq :: [ 4^150, 6^100 ]

E26.1482 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = (((C5 x C5) : C3) : C2) : C2 (small group id <300, 25>)
Aut   = $<600, 154>$ (small group id <600, 154>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^3, (Y2 * Y3)^2, (R * Y3^-1)^2, (Y3 * Y1)^2, (R * Y1)^2, (Y3^-1 * Y2)^2, R * Y3 * Y2 * Y3^-1 * R * Y2, Y3^6, Y3^-1 * Y1 * Y3^-1 * Y2 * Y1^-1 * Y3^2 * Y2, Y3^2 * Y1^-1 * Y3^-2 * Y2 * Y1^-1 * Y2, Y2 * Y1^-1 * Y3 * Y2 * Y3^-1 * Y1 * Y3^2 * Y1, Y2 * Y3^-2 * Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1, Y2 * Y1 * Y2 * Y1^-1 * R * Y2 * Y1^-1 * Y2 * R, (Y1^-1 * Y3 * Y2 * Y1 * Y2)^2, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1^-1, Y2 * R * Y1^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * R * Y1^-1, Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 ]
Map:: polyhedral non-degenerate
	R = (1, 301, 2, 302, 5, 305)(3, 303, 10, 310, 12, 312)(4, 304, 14, 314, 16, 316)(6, 306, 19, 319, 8, 308)(7, 307, 21, 321, 23, 323)(9, 309, 26, 326, 18, 318)(11, 311, 31, 331, 33, 333)(13, 313, 36, 336, 29, 329)(15, 315, 40, 340, 42, 342)(17, 317, 45, 345, 46, 346)(20, 320, 52, 352, 50, 350)(22, 322, 56, 356, 58, 358)(24, 324, 61, 361, 54, 354)(25, 325, 51, 351, 64, 364)(27, 327, 68, 368, 66, 366)(28, 328, 69, 369, 71, 371)(30, 330, 74, 374, 35, 335)(32, 332, 78, 378, 57, 357)(34, 334, 81, 381, 82, 382)(37, 337, 88, 388, 86, 386)(38, 338, 89, 389, 90, 390)(39, 339, 91, 391, 44, 344)(41, 341, 70, 370, 92, 392)(43, 343, 94, 394, 95, 395)(47, 347, 101, 401, 97, 397)(48, 348, 67, 367, 102, 402)(49, 349, 103, 403, 104, 404)(53, 353, 108, 408, 110, 410)(55, 355, 113, 413, 60, 360)(59, 359, 115, 415, 116, 416)(62, 362, 120, 420, 118, 418)(63, 363, 109, 409, 121, 421)(65, 365, 123, 423, 124, 424)(72, 372, 133, 433, 129, 429)(73, 373, 87, 387, 136, 436)(75, 375, 140, 440, 138, 438)(76, 376, 141, 441, 93, 393)(77, 377, 142, 442, 80, 380)(79, 379, 143, 443, 144, 444)(83, 383, 150, 450, 146, 446)(84, 384, 139, 439, 151, 451)(85, 385, 152, 452, 106, 406)(96, 396, 158, 458, 159, 459)(98, 398, 162, 462, 100, 400)(99, 399, 164, 464, 165, 465)(105, 405, 170, 470, 168, 468)(107, 407, 171, 471, 122, 422)(111, 411, 177, 477, 173, 473)(112, 412, 119, 419, 180, 480)(114, 414, 183, 483, 182, 482)(117, 417, 186, 486, 126, 426)(125, 425, 192, 492, 190, 490)(127, 427, 193, 493, 166, 466)(128, 428, 194, 494, 196, 496)(130, 430, 199, 499, 132, 432)(131, 431, 169, 469, 201, 501)(134, 434, 205, 505, 203, 503)(135, 435, 195, 495, 206, 506)(137, 437, 208, 508, 209, 509)(145, 445, 215, 515, 157, 457)(147, 447, 218, 518, 149, 449)(148, 448, 220, 520, 221, 521)(153, 453, 225, 525, 224, 524)(154, 454, 226, 526, 207, 507)(155, 455, 227, 527, 161, 461)(156, 456, 228, 528, 229, 529)(160, 460, 232, 532, 231, 531)(163, 463, 237, 537, 236, 536)(167, 467, 240, 540, 185, 485)(172, 472, 245, 545, 247, 547)(174, 474, 250, 550, 176, 476)(175, 475, 191, 491, 252, 552)(178, 478, 243, 543, 254, 554)(179, 479, 246, 546, 256, 556)(181, 481, 258, 558, 259, 559)(184, 484, 262, 562, 263, 563)(187, 487, 266, 566, 265, 565)(188, 488, 267, 567, 257, 557)(189, 489, 268, 568, 239, 539)(197, 497, 273, 573, 248, 548)(198, 498, 204, 504, 251, 551)(200, 500, 278, 578, 277, 577)(202, 502, 264, 564, 211, 511)(210, 510, 281, 581, 269, 569)(212, 512, 282, 582, 222, 522)(213, 513, 283, 583, 217, 517)(214, 514, 284, 584, 285, 585)(216, 516, 261, 561, 253, 553)(219, 519, 260, 560, 287, 587)(223, 523, 290, 590, 280, 580)(230, 530, 274, 574, 293, 593)(233, 533, 271, 571, 279, 579)(234, 534, 296, 596, 276, 576)(235, 535, 292, 592, 294, 594)(238, 538, 291, 591, 298, 598)(241, 541, 297, 597, 288, 588)(242, 542, 244, 544, 286, 586)(249, 549, 255, 555, 295, 595)(270, 570, 272, 572, 289, 589)(275, 575, 299, 599, 300, 600)(601, 901, 603, 903)(602, 902, 607, 907)(604, 904, 613, 913)(605, 905, 617, 917)(606, 906, 611, 911)(608, 908, 624, 924)(609, 909, 622, 922)(610, 910, 628, 928)(612, 912, 634, 934)(614, 914, 638, 938)(615, 915, 637, 937)(616, 916, 643, 943)(618, 918, 647, 947)(619, 919, 649, 949)(620, 920, 632, 932)(621, 921, 653, 953)(623, 923, 659, 959)(625, 925, 662, 962)(626, 926, 665, 965)(627, 927, 657, 957)(629, 929, 672, 972)(630, 930, 670, 970)(631, 931, 676, 976)(633, 933, 679, 979)(635, 935, 683, 983)(636, 936, 685, 985)(639, 939, 678, 978)(640, 940, 677, 977)(641, 941, 658, 958)(642, 942, 675, 975)(644, 944, 684, 984)(645, 945, 696, 996)(646, 946, 699, 999)(648, 948, 680, 980)(650, 950, 705, 1005)(651, 951, 688, 988)(652, 952, 687, 987)(654, 954, 711, 1011)(655, 955, 709, 1009)(656, 956, 707, 1007)(660, 960, 706, 1006)(661, 961, 717, 1017)(663, 963, 690, 990)(664, 964, 714, 1014)(666, 966, 725, 1025)(667, 967, 720, 1020)(668, 968, 719, 1019)(669, 969, 728, 1028)(671, 971, 731, 1031)(673, 973, 734, 1034)(674, 974, 737, 1037)(681, 981, 745, 1045)(682, 982, 748, 1048)(686, 986, 753, 1053)(689, 989, 727, 1027)(691, 991, 755, 1055)(692, 992, 754, 1054)(693, 993, 735, 1035)(694, 994, 747, 1047)(695, 995, 756, 1056)(697, 997, 760, 1060)(698, 998, 743, 1043)(700, 1000, 726, 1026)(701, 1001, 750, 1050)(702, 1002, 763, 1063)(703, 1003, 767, 1067)(704, 1004, 732, 1032)(708, 1008, 772, 1072)(710, 1010, 775, 1075)(712, 1012, 778, 1078)(713, 1013, 781, 1081)(715, 1015, 769, 1069)(716, 1016, 784, 1084)(718, 1018, 787, 1087)(721, 1021, 788, 1088)(722, 1022, 779, 1079)(723, 1023, 789, 1089)(724, 1024, 776, 1076)(729, 1029, 797, 1097)(730, 1030, 795, 1095)(733, 1033, 802, 1102)(736, 1036, 800, 1100)(738, 1038, 810, 1110)(739, 1039, 805, 1105)(740, 1040, 804, 1104)(741, 1041, 812, 1112)(742, 1042, 813, 1113)(744, 1044, 814, 1114)(746, 1046, 816, 1116)(749, 1049, 811, 1111)(751, 1051, 819, 1119)(752, 1052, 823, 1123)(757, 1057, 759, 1059)(758, 1058, 830, 1130)(761, 1061, 833, 1133)(762, 1062, 835, 1135)(764, 1064, 791, 1091)(765, 1065, 838, 1138)(766, 1066, 834, 1134)(768, 1068, 841, 1141)(770, 1070, 843, 1143)(771, 1071, 844, 1144)(773, 1073, 848, 1148)(774, 1074, 846, 1146)(777, 1077, 853, 1153)(780, 1080, 851, 1151)(782, 1082, 860, 1160)(783, 1083, 855, 1155)(785, 1085, 861, 1161)(786, 1086, 864, 1164)(790, 1090, 869, 1169)(792, 1092, 871, 1171)(793, 1093, 872, 1172)(794, 1094, 849, 1149)(796, 1096, 866, 1166)(798, 1098, 874, 1174)(799, 1099, 876, 1176)(801, 1101, 879, 1179)(803, 1103, 852, 1152)(806, 1106, 850, 1150)(807, 1107, 875, 1175)(808, 1108, 870, 1170)(809, 1109, 867, 1167)(815, 1115, 854, 1154)(817, 1117, 862, 1162)(818, 1118, 886, 1186)(820, 1120, 865, 1165)(821, 1121, 888, 1188)(822, 1122, 858, 1158)(824, 1124, 891, 1191)(825, 1125, 893, 1193)(826, 1126, 894, 1194)(827, 1127, 895, 1195)(828, 1128, 896, 1196)(829, 1129, 856, 1156)(831, 1131, 873, 1173)(832, 1132, 880, 1180)(836, 1136, 897, 1197)(837, 1137, 877, 1177)(839, 1139, 890, 1190)(840, 1140, 889, 1189)(842, 1142, 892, 1192)(845, 1145, 878, 1178)(847, 1147, 883, 1183)(857, 1157, 899, 1199)(859, 1159, 884, 1184)(863, 1163, 881, 1181)(868, 1168, 882, 1182)(885, 1185, 900, 1200)(887, 1187, 898, 1198)
	L = (1, 604)(2, 608)(3, 611)(4, 615)(5, 618)(6, 601)(7, 622)(8, 625)(9, 602)(10, 629)(11, 632)(12, 635)(13, 603)(14, 605)(15, 641)(16, 644)(17, 638)(18, 648)(19, 650)(20, 606)(21, 654)(22, 657)(23, 660)(24, 607)(25, 663)(26, 666)(27, 609)(28, 670)(29, 673)(30, 610)(31, 612)(32, 658)(33, 680)(34, 676)(35, 684)(36, 686)(37, 613)(38, 678)(39, 614)(40, 616)(41, 620)(42, 693)(43, 677)(44, 683)(45, 697)(46, 700)(47, 617)(48, 679)(49, 688)(50, 706)(51, 619)(52, 692)(53, 709)(54, 712)(55, 621)(56, 623)(57, 690)(58, 637)(59, 707)(60, 705)(61, 718)(62, 624)(63, 627)(64, 722)(65, 720)(66, 726)(67, 626)(68, 721)(69, 729)(70, 642)(71, 732)(72, 628)(73, 735)(74, 738)(75, 630)(76, 640)(77, 631)(78, 633)(79, 639)(80, 647)(81, 746)(82, 749)(83, 634)(84, 643)(85, 652)(86, 704)(87, 636)(88, 656)(89, 646)(90, 662)(91, 744)(92, 671)(93, 734)(94, 751)(95, 757)(96, 743)(97, 761)(98, 645)(99, 727)(100, 725)(101, 742)(102, 766)(103, 768)(104, 731)(105, 649)(106, 659)(107, 651)(108, 773)(109, 664)(110, 776)(111, 653)(112, 779)(113, 782)(114, 655)(115, 752)(116, 785)(117, 668)(118, 724)(119, 661)(120, 689)(121, 710)(122, 778)(123, 790)(124, 775)(125, 665)(126, 699)(127, 667)(128, 795)(129, 798)(130, 669)(131, 754)(132, 753)(133, 803)(134, 672)(135, 675)(136, 807)(137, 805)(138, 811)(139, 674)(140, 806)(141, 682)(142, 695)(143, 702)(144, 759)(145, 694)(146, 817)(147, 681)(148, 812)(149, 810)(150, 691)(151, 822)(152, 824)(153, 685)(154, 687)(155, 701)(156, 813)(157, 814)(158, 831)(159, 756)(160, 696)(161, 834)(162, 836)(163, 698)(164, 786)(165, 839)(166, 833)(167, 715)(168, 842)(169, 703)(170, 713)(171, 716)(172, 846)(173, 849)(174, 708)(175, 788)(176, 787)(177, 854)(178, 711)(179, 714)(180, 857)(181, 843)(182, 861)(183, 856)(184, 844)(185, 860)(186, 865)(187, 717)(188, 719)(189, 764)(190, 870)(191, 723)(192, 762)(193, 765)(194, 848)(195, 736)(196, 867)(197, 728)(198, 875)(199, 877)(200, 730)(201, 880)(202, 740)(203, 809)(204, 733)(205, 741)(206, 796)(207, 874)(208, 869)(209, 866)(210, 737)(211, 748)(212, 739)(213, 750)(214, 755)(215, 853)(216, 745)(217, 858)(218, 887)(219, 747)(220, 864)(221, 889)(222, 862)(223, 769)(224, 892)(225, 799)(226, 801)(227, 885)(228, 758)(229, 855)(230, 896)(231, 878)(232, 879)(233, 760)(234, 763)(235, 871)(236, 890)(237, 876)(238, 872)(239, 897)(240, 888)(241, 767)(242, 891)(243, 771)(244, 770)(245, 873)(246, 780)(247, 884)(248, 772)(249, 899)(250, 804)(251, 774)(252, 802)(253, 783)(254, 859)(255, 777)(256, 847)(257, 794)(258, 819)(259, 883)(260, 781)(261, 784)(262, 816)(263, 882)(264, 791)(265, 808)(266, 850)(267, 852)(268, 881)(269, 789)(270, 820)(271, 793)(272, 792)(273, 830)(274, 797)(275, 800)(276, 893)(277, 832)(278, 900)(279, 894)(280, 837)(281, 818)(282, 821)(283, 829)(284, 815)(285, 845)(286, 863)(287, 840)(288, 868)(289, 898)(290, 838)(291, 823)(292, 841)(293, 826)(294, 825)(295, 828)(296, 827)(297, 835)(298, 886)(299, 851)(300, 895)(301, 901)(302, 902)(303, 903)(304, 904)(305, 905)(306, 906)(307, 907)(308, 908)(309, 909)(310, 910)(311, 911)(312, 912)(313, 913)(314, 914)(315, 915)(316, 916)(317, 917)(318, 918)(319, 919)(320, 920)(321, 921)(322, 922)(323, 923)(324, 924)(325, 925)(326, 926)(327, 927)(328, 928)(329, 929)(330, 930)(331, 931)(332, 932)(333, 933)(334, 934)(335, 935)(336, 936)(337, 937)(338, 938)(339, 939)(340, 940)(341, 941)(342, 942)(343, 943)(344, 944)(345, 945)(346, 946)(347, 947)(348, 948)(349, 949)(350, 950)(351, 951)(352, 952)(353, 953)(354, 954)(355, 955)(356, 956)(357, 957)(358, 958)(359, 959)(360, 960)(361, 961)(362, 962)(363, 963)(364, 964)(365, 965)(366, 966)(367, 967)(368, 968)(369, 969)(370, 970)(371, 971)(372, 972)(373, 973)(374, 974)(375, 975)(376, 976)(377, 977)(378, 978)(379, 979)(380, 980)(381, 981)(382, 982)(383, 983)(384, 984)(385, 985)(386, 986)(387, 987)(388, 988)(389, 989)(390, 990)(391, 991)(392, 992)(393, 993)(394, 994)(395, 995)(396, 996)(397, 997)(398, 998)(399, 999)(400, 1000)(401, 1001)(402, 1002)(403, 1003)(404, 1004)(405, 1005)(406, 1006)(407, 1007)(408, 1008)(409, 1009)(410, 1010)(411, 1011)(412, 1012)(413, 1013)(414, 1014)(415, 1015)(416, 1016)(417, 1017)(418, 1018)(419, 1019)(420, 1020)(421, 1021)(422, 1022)(423, 1023)(424, 1024)(425, 1025)(426, 1026)(427, 1027)(428, 1028)(429, 1029)(430, 1030)(431, 1031)(432, 1032)(433, 1033)(434, 1034)(435, 1035)(436, 1036)(437, 1037)(438, 1038)(439, 1039)(440, 1040)(441, 1041)(442, 1042)(443, 1043)(444, 1044)(445, 1045)(446, 1046)(447, 1047)(448, 1048)(449, 1049)(450, 1050)(451, 1051)(452, 1052)(453, 1053)(454, 1054)(455, 1055)(456, 1056)(457, 1057)(458, 1058)(459, 1059)(460, 1060)(461, 1061)(462, 1062)(463, 1063)(464, 1064)(465, 1065)(466, 1066)(467, 1067)(468, 1068)(469, 1069)(470, 1070)(471, 1071)(472, 1072)(473, 1073)(474, 1074)(475, 1075)(476, 1076)(477, 1077)(478, 1078)(479, 1079)(480, 1080)(481, 1081)(482, 1082)(483, 1083)(484, 1084)(485, 1085)(486, 1086)(487, 1087)(488, 1088)(489, 1089)(490, 1090)(491, 1091)(492, 1092)(493, 1093)(494, 1094)(495, 1095)(496, 1096)(497, 1097)(498, 1098)(499, 1099)(500, 1100)(501, 1101)(502, 1102)(503, 1103)(504, 1104)(505, 1105)(506, 1106)(507, 1107)(508, 1108)(509, 1109)(510, 1110)(511, 1111)(512, 1112)(513, 1113)(514, 1114)(515, 1115)(516, 1116)(517, 1117)(518, 1118)(519, 1119)(520, 1120)(521, 1121)(522, 1122)(523, 1123)(524, 1124)(525, 1125)(526, 1126)(527, 1127)(528, 1128)(529, 1129)(530, 1130)(531, 1131)(532, 1132)(533, 1133)(534, 1134)(535, 1135)(536, 1136)(537, 1137)(538, 1138)(539, 1139)(540, 1140)(541, 1141)(542, 1142)(543, 1143)(544, 1144)(545, 1145)(546, 1146)(547, 1147)(548, 1148)(549, 1149)(550, 1150)(551, 1151)(552, 1152)(553, 1153)(554, 1154)(555, 1155)(556, 1156)(557, 1157)(558, 1158)(559, 1159)(560, 1160)(561, 1161)(562, 1162)(563, 1163)(564, 1164)(565, 1165)(566, 1166)(567, 1167)(568, 1168)(569, 1169)(570, 1170)(571, 1171)(572, 1172)(573, 1173)(574, 1174)(575, 1175)(576, 1176)(577, 1177)(578, 1178)(579, 1179)(580, 1180)(581, 1181)(582, 1182)(583, 1183)(584, 1184)(585, 1185)(586, 1186)(587, 1187)(588, 1188)(589, 1189)(590, 1190)(591, 1191)(592, 1192)(593, 1193)(594, 1194)(595, 1195)(596, 1196)(597, 1197)(598, 1198)(599, 1199)(600, 1200)
	local type(s) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E26.1479
Graph:: simple bipartite
	v = 250 e = 600 f = 300
	degree seq :: [ 4^150, 6^100 ]

E26.1483 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = (((C5 x C5) : C3) : C2) : C2 (small group id <300, 25>)
Aut   = $<600, 154>$ (small group id <600, 154>)
|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^-1)^5 ]
Map:: polytopal non-degenerate
	R = (1, 301, 2, 302, 5, 305)(3, 303, 8, 308, 10, 310)(4, 304, 11, 311, 7, 307)(6, 306, 13, 313, 15, 315)(9, 309, 18, 318, 17, 317)(12, 312, 21, 321, 22, 322)(14, 314, 25, 325, 24, 324)(16, 316, 27, 327, 29, 329)(19, 319, 31, 331, 32, 332)(20, 320, 33, 333, 34, 334)(23, 323, 37, 337, 39, 339)(26, 326, 41, 341, 42, 342)(28, 328, 45, 345, 44, 344)(30, 330, 47, 347, 48, 348)(35, 335, 53, 353, 54, 354)(36, 336, 55, 355, 56, 356)(38, 338, 59, 359, 58, 358)(40, 340, 61, 361, 62, 362)(43, 343, 65, 365, 67, 367)(46, 346, 69, 369, 70, 370)(49, 349, 73, 373, 74, 374)(50, 350, 75, 375, 57, 357)(51, 351, 76, 376, 77, 377)(52, 352, 78, 378, 79, 379)(60, 360, 85, 385, 86, 386)(63, 363, 89, 389, 90, 390)(64, 364, 91, 391, 80, 380)(66, 366, 93, 393, 92, 392)(68, 368, 95, 395, 96, 396)(71, 371, 83, 383, 99, 399)(72, 372, 100, 400, 101, 401)(81, 381, 108, 408, 109, 409)(82, 382, 110, 410, 111, 411)(84, 384, 112, 412, 113, 413)(87, 387, 107, 407, 116, 416)(88, 388, 117, 417, 118, 418)(94, 394, 123, 423, 124, 424)(97, 397, 127, 427, 128, 428)(98, 398, 129, 429, 102, 402)(103, 403, 133, 433, 134, 434)(104, 404, 135, 435, 136, 436)(105, 405, 137, 437, 138, 438)(106, 406, 139, 439, 140, 440)(114, 414, 147, 447, 148, 448)(115, 415, 149, 449, 119, 419)(120, 420, 153, 453, 154, 454)(121, 421, 155, 455, 156, 456)(122, 422, 157, 457, 158, 458)(125, 425, 132, 432, 161, 461)(126, 426, 162, 462, 163, 463)(130, 430, 167, 467, 168, 468)(131, 431, 169, 469, 170, 470)(141, 441, 179, 479, 180, 480)(142, 442, 181, 481, 143, 443)(144, 444, 182, 482, 183, 483)(145, 445, 152, 452, 184, 484)(146, 446, 185, 485, 186, 486)(150, 450, 190, 490, 191, 491)(151, 451, 192, 492, 193, 493)(159, 459, 200, 500, 201, 501)(160, 460, 202, 502, 164, 464)(165, 465, 194, 494, 206, 506)(166, 466, 207, 507, 208, 508)(171, 471, 213, 513, 214, 514)(172, 472, 215, 515, 173, 473)(174, 474, 216, 516, 187, 487)(175, 475, 217, 517, 218, 518)(176, 476, 219, 519, 177, 477)(178, 478, 220, 520, 221, 521)(188, 488, 224, 524, 228, 528)(189, 489, 229, 529, 230, 530)(195, 495, 235, 535, 196, 496)(197, 497, 236, 536, 222, 522)(198, 498, 205, 505, 237, 537)(199, 499, 238, 538, 239, 539)(203, 503, 242, 542, 243, 543)(204, 504, 244, 544, 234, 534)(209, 509, 227, 527, 248, 548)(210, 510, 249, 549, 211, 511)(212, 512, 250, 550, 251, 551)(223, 523, 258, 558, 259, 559)(225, 525, 260, 560, 261, 561)(226, 526, 262, 562, 255, 555)(231, 531, 257, 557, 266, 566)(232, 532, 267, 567, 233, 533)(240, 540, 254, 554, 272, 572)(241, 541, 273, 573, 268, 568)(245, 545, 265, 565, 246, 546)(247, 547, 277, 577, 252, 552)(253, 553, 269, 569, 281, 581)(256, 556, 282, 582, 283, 583)(263, 563, 284, 584, 264, 564)(270, 570, 289, 589, 290, 590)(271, 571, 291, 591, 278, 578)(274, 574, 280, 580, 294, 594)(275, 575, 285, 585, 276, 576)(279, 579, 295, 595, 288, 588)(286, 586, 297, 597, 287, 587)(292, 592, 296, 596, 293, 593)(298, 598, 300, 600, 299, 599)(601, 901, 603, 903)(602, 902, 606, 906)(604, 904, 609, 909)(605, 905, 612, 912)(607, 907, 614, 914)(608, 908, 616, 916)(610, 910, 619, 919)(611, 911, 620, 920)(613, 913, 623, 923)(615, 915, 626, 926)(617, 917, 628, 928)(618, 918, 630, 930)(621, 921, 635, 935)(622, 922, 636, 936)(624, 924, 638, 938)(625, 925, 640, 940)(627, 927, 643, 943)(629, 929, 646, 946)(631, 931, 649, 949)(632, 932, 650, 950)(633, 933, 651, 951)(634, 934, 652, 952)(637, 937, 657, 957)(639, 939, 660, 960)(641, 941, 663, 963)(642, 942, 664, 964)(644, 944, 666, 966)(645, 945, 668, 968)(647, 947, 671, 971)(648, 948, 672, 972)(653, 953, 680, 980)(654, 954, 681, 981)(655, 955, 682, 982)(656, 956, 665, 965)(658, 958, 683, 983)(659, 959, 684, 984)(661, 961, 687, 987)(662, 962, 688, 988)(667, 967, 694, 994)(669, 969, 697, 997)(670, 970, 698, 998)(673, 973, 702, 1002)(674, 974, 703, 1003)(675, 975, 704, 1004)(676, 976, 692, 992)(677, 977, 705, 1005)(678, 978, 706, 1006)(679, 979, 707, 1007)(685, 985, 714, 1014)(686, 986, 715, 1015)(689, 989, 719, 1019)(690, 990, 720, 1020)(691, 991, 721, 1021)(693, 993, 722, 1022)(695, 995, 725, 1025)(696, 996, 726, 1026)(699, 999, 730, 1030)(700, 1000, 731, 1031)(701, 1001, 732, 1032)(708, 1008, 741, 1041)(709, 1009, 742, 1042)(710, 1010, 743, 1043)(711, 1011, 744, 1044)(712, 1012, 745, 1045)(713, 1013, 746, 1046)(716, 1016, 750, 1050)(717, 1017, 751, 1051)(718, 1018, 752, 1052)(723, 1023, 759, 1059)(724, 1024, 760, 1060)(727, 1027, 764, 1064)(728, 1028, 765, 1065)(729, 1029, 766, 1066)(733, 1033, 771, 1071)(734, 1034, 772, 1072)(735, 1035, 773, 1073)(736, 1036, 774, 1074)(737, 1037, 775, 1075)(738, 1038, 776, 1076)(739, 1039, 777, 1077)(740, 1040, 778, 1078)(747, 1047, 787, 1087)(748, 1048, 788, 1088)(749, 1049, 789, 1089)(753, 1053, 794, 1094)(754, 1054, 795, 1095)(755, 1055, 796, 1096)(756, 1056, 797, 1097)(757, 1057, 798, 1098)(758, 1058, 799, 1099)(761, 1061, 803, 1103)(762, 1062, 804, 1104)(763, 1063, 805, 1105)(767, 1067, 809, 1109)(768, 1068, 810, 1110)(769, 1069, 811, 1111)(770, 1070, 812, 1112)(779, 1079, 822, 1122)(780, 1080, 814, 1114)(781, 1081, 823, 1123)(782, 1082, 824, 1124)(783, 1083, 800, 1100)(784, 1084, 825, 1125)(785, 1085, 826, 1126)(786, 1086, 827, 1127)(790, 1090, 831, 1131)(791, 1091, 832, 1132)(792, 1092, 833, 1133)(793, 1093, 834, 1134)(801, 1101, 840, 1140)(802, 1102, 841, 1141)(806, 1106, 845, 1145)(807, 1107, 846, 1146)(808, 1108, 847, 1147)(813, 1113, 852, 1152)(815, 1115, 853, 1153)(816, 1116, 854, 1154)(817, 1117, 839, 1139)(818, 1118, 855, 1155)(819, 1119, 856, 1156)(820, 1120, 850, 1150)(821, 1121, 857, 1157)(828, 1128, 863, 1163)(829, 1129, 864, 1164)(830, 1130, 865, 1165)(835, 1135, 868, 1168)(836, 1136, 869, 1169)(837, 1137, 870, 1170)(838, 1138, 871, 1171)(842, 1142, 874, 1174)(843, 1143, 875, 1175)(844, 1144, 876, 1176)(848, 1148, 878, 1178)(849, 1149, 879, 1179)(851, 1151, 880, 1180)(858, 1158, 877, 1177)(859, 1159, 884, 1184)(860, 1160, 885, 1185)(861, 1161, 886, 1186)(862, 1162, 887, 1187)(866, 1166, 888, 1188)(867, 1167, 889, 1189)(872, 1172, 892, 1192)(873, 1173, 893, 1193)(881, 1181, 896, 1196)(882, 1182, 897, 1197)(883, 1183, 894, 1194)(890, 1190, 898, 1198)(891, 1191, 899, 1199)(895, 1195, 900, 1200)
	L = (1, 604)(2, 607)(3, 609)(4, 601)(5, 611)(6, 614)(7, 602)(8, 617)(9, 603)(10, 618)(11, 605)(12, 620)(13, 624)(14, 606)(15, 625)(16, 628)(17, 608)(18, 610)(19, 630)(20, 612)(21, 634)(22, 633)(23, 638)(24, 613)(25, 615)(26, 640)(27, 644)(28, 616)(29, 645)(30, 619)(31, 648)(32, 647)(33, 622)(34, 621)(35, 652)(36, 651)(37, 658)(38, 623)(39, 659)(40, 626)(41, 662)(42, 661)(43, 666)(44, 627)(45, 629)(46, 668)(47, 632)(48, 631)(49, 672)(50, 671)(51, 636)(52, 635)(53, 679)(54, 678)(55, 677)(56, 676)(57, 683)(58, 637)(59, 639)(60, 684)(61, 642)(62, 641)(63, 688)(64, 687)(65, 692)(66, 643)(67, 693)(68, 646)(69, 696)(70, 695)(71, 650)(72, 649)(73, 701)(74, 700)(75, 699)(76, 656)(77, 655)(78, 654)(79, 653)(80, 707)(81, 706)(82, 705)(83, 657)(84, 660)(85, 713)(86, 712)(87, 664)(88, 663)(89, 718)(90, 717)(91, 716)(92, 665)(93, 667)(94, 722)(95, 670)(96, 669)(97, 726)(98, 725)(99, 675)(100, 674)(101, 673)(102, 732)(103, 731)(104, 730)(105, 682)(106, 681)(107, 680)(108, 740)(109, 739)(110, 738)(111, 737)(112, 686)(113, 685)(114, 746)(115, 745)(116, 691)(117, 690)(118, 689)(119, 752)(120, 751)(121, 750)(122, 694)(123, 758)(124, 757)(125, 698)(126, 697)(127, 763)(128, 762)(129, 761)(130, 704)(131, 703)(132, 702)(133, 770)(134, 769)(135, 768)(136, 767)(137, 711)(138, 710)(139, 709)(140, 708)(141, 778)(142, 777)(143, 776)(144, 775)(145, 715)(146, 714)(147, 786)(148, 785)(149, 784)(150, 721)(151, 720)(152, 719)(153, 793)(154, 792)(155, 791)(156, 790)(157, 724)(158, 723)(159, 799)(160, 798)(161, 729)(162, 728)(163, 727)(164, 805)(165, 804)(166, 803)(167, 736)(168, 735)(169, 734)(170, 733)(171, 812)(172, 811)(173, 810)(174, 809)(175, 744)(176, 743)(177, 742)(178, 741)(179, 821)(180, 820)(181, 819)(182, 818)(183, 817)(184, 749)(185, 748)(186, 747)(187, 827)(188, 826)(189, 825)(190, 756)(191, 755)(192, 754)(193, 753)(194, 834)(195, 833)(196, 832)(197, 831)(198, 760)(199, 759)(200, 839)(201, 838)(202, 837)(203, 766)(204, 765)(205, 764)(206, 844)(207, 843)(208, 842)(209, 774)(210, 773)(211, 772)(212, 771)(213, 851)(214, 850)(215, 849)(216, 848)(217, 783)(218, 782)(219, 781)(220, 780)(221, 779)(222, 857)(223, 856)(224, 855)(225, 789)(226, 788)(227, 787)(228, 862)(229, 861)(230, 860)(231, 797)(232, 796)(233, 795)(234, 794)(235, 867)(236, 866)(237, 802)(238, 801)(239, 800)(240, 871)(241, 870)(242, 808)(243, 807)(244, 806)(245, 876)(246, 875)(247, 874)(248, 816)(249, 815)(250, 814)(251, 813)(252, 880)(253, 879)(254, 878)(255, 824)(256, 823)(257, 822)(258, 883)(259, 882)(260, 830)(261, 829)(262, 828)(263, 887)(264, 886)(265, 885)(266, 836)(267, 835)(268, 889)(269, 888)(270, 841)(271, 840)(272, 891)(273, 890)(274, 847)(275, 846)(276, 845)(277, 894)(278, 854)(279, 853)(280, 852)(281, 895)(282, 859)(283, 858)(284, 897)(285, 865)(286, 864)(287, 863)(288, 869)(289, 868)(290, 873)(291, 872)(292, 899)(293, 898)(294, 877)(295, 881)(296, 900)(297, 884)(298, 893)(299, 892)(300, 896)(301, 901)(302, 902)(303, 903)(304, 904)(305, 905)(306, 906)(307, 907)(308, 908)(309, 909)(310, 910)(311, 911)(312, 912)(313, 913)(314, 914)(315, 915)(316, 916)(317, 917)(318, 918)(319, 919)(320, 920)(321, 921)(322, 922)(323, 923)(324, 924)(325, 925)(326, 926)(327, 927)(328, 928)(329, 929)(330, 930)(331, 931)(332, 932)(333, 933)(334, 934)(335, 935)(336, 936)(337, 937)(338, 938)(339, 939)(340, 940)(341, 941)(342, 942)(343, 943)(344, 944)(345, 945)(346, 946)(347, 947)(348, 948)(349, 949)(350, 950)(351, 951)(352, 952)(353, 953)(354, 954)(355, 955)(356, 956)(357, 957)(358, 958)(359, 959)(360, 960)(361, 961)(362, 962)(363, 963)(364, 964)(365, 965)(366, 966)(367, 967)(368, 968)(369, 969)(370, 970)(371, 971)(372, 972)(373, 973)(374, 974)(375, 975)(376, 976)(377, 977)(378, 978)(379, 979)(380, 980)(381, 981)(382, 982)(383, 983)(384, 984)(385, 985)(386, 986)(387, 987)(388, 988)(389, 989)(390, 990)(391, 991)(392, 992)(393, 993)(394, 994)(395, 995)(396, 996)(397, 997)(398, 998)(399, 999)(400, 1000)(401, 1001)(402, 1002)(403, 1003)(404, 1004)(405, 1005)(406, 1006)(407, 1007)(408, 1008)(409, 1009)(410, 1010)(411, 1011)(412, 1012)(413, 1013)(414, 1014)(415, 1015)(416, 1016)(417, 1017)(418, 1018)(419, 1019)(420, 1020)(421, 1021)(422, 1022)(423, 1023)(424, 1024)(425, 1025)(426, 1026)(427, 1027)(428, 1028)(429, 1029)(430, 1030)(431, 1031)(432, 1032)(433, 1033)(434, 1034)(435, 1035)(436, 1036)(437, 1037)(438, 1038)(439, 1039)(440, 1040)(441, 1041)(442, 1042)(443, 1043)(444, 1044)(445, 1045)(446, 1046)(447, 1047)(448, 1048)(449, 1049)(450, 1050)(451, 1051)(452, 1052)(453, 1053)(454, 1054)(455, 1055)(456, 1056)(457, 1057)(458, 1058)(459, 1059)(460, 1060)(461, 1061)(462, 1062)(463, 1063)(464, 1064)(465, 1065)(466, 1066)(467, 1067)(468, 1068)(469, 1069)(470, 1070)(471, 1071)(472, 1072)(473, 1073)(474, 1074)(475, 1075)(476, 1076)(477, 1077)(478, 1078)(479, 1079)(480, 1080)(481, 1081)(482, 1082)(483, 1083)(484, 1084)(485, 1085)(486, 1086)(487, 1087)(488, 1088)(489, 1089)(490, 1090)(491, 1091)(492, 1092)(493, 1093)(494, 1094)(495, 1095)(496, 1096)(497, 1097)(498, 1098)(499, 1099)(500, 1100)(501, 1101)(502, 1102)(503, 1103)(504, 1104)(505, 1105)(506, 1106)(507, 1107)(508, 1108)(509, 1109)(510, 1110)(511, 1111)(512, 1112)(513, 1113)(514, 1114)(515, 1115)(516, 1116)(517, 1117)(518, 1118)(519, 1119)(520, 1120)(521, 1121)(522, 1122)(523, 1123)(524, 1124)(525, 1125)(526, 1126)(527, 1127)(528, 1128)(529, 1129)(530, 1130)(531, 1131)(532, 1132)(533, 1133)(534, 1134)(535, 1135)(536, 1136)(537, 1137)(538, 1138)(539, 1139)(540, 1140)(541, 1141)(542, 1142)(543, 1143)(544, 1144)(545, 1145)(546, 1146)(547, 1147)(548, 1148)(549, 1149)(550, 1150)(551, 1151)(552, 1152)(553, 1153)(554, 1154)(555, 1155)(556, 1156)(557, 1157)(558, 1158)(559, 1159)(560, 1160)(561, 1161)(562, 1162)(563, 1163)(564, 1164)(565, 1165)(566, 1166)(567, 1167)(568, 1168)(569, 1169)(570, 1170)(571, 1171)(572, 1172)(573, 1173)(574, 1174)(575, 1175)(576, 1176)(577, 1177)(578, 1178)(579, 1179)(580, 1180)(581, 1181)(582, 1182)(583, 1183)(584, 1184)(585, 1185)(586, 1186)(587, 1187)(588, 1188)(589, 1189)(590, 1190)(591, 1191)(592, 1192)(593, 1193)(594, 1194)(595, 1195)(596, 1196)(597, 1197)(598, 1198)(599, 1199)(600, 1200)
	local type(s) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E26.1478
Graph:: simple bipartite
	v = 250 e = 600 f = 300
	degree seq :: [ 4^150, 6^100 ]

E26.1484 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 4, 4})
Quotient :: edge
Aut^+ = ((C5 x C5) : C3) : C4 (small group id <300, 23>)
Aut   = ((C5 x C5) : C3) : C4 (small group id <300, 23>)
|r| :: 1
Presentation :: [ X1^3, X2^4, (X1^-1 * X2^-1)^4, (X2 * X1^-1)^4, X1 * X2^-1 * X1 * X2^-2 * X1^-1 * X2^2 * X1 * X2, (X2^-1, X1^-1)^3, X2 * X1 * X2 * X1^-1 * X2^-2 * X1^-1 * X2^-2 * X1^-1 * X2^-1 * X1 * 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, 26, 28)(12, 29, 30)(16, 37, 38)(20, 45, 47)(21, 48, 49)(24, 54, 42)(25, 56, 57)(27, 60, 61)(31, 67, 69)(32, 62, 70)(33, 71, 73)(34, 74, 35)(36, 76, 77)(39, 82, 65)(40, 84, 85)(41, 86, 88)(43, 89, 91)(44, 92, 58)(46, 94, 95)(50, 80, 102)(51, 103, 104)(52, 105, 99)(53, 107, 108)(55, 111, 112)(59, 116, 117)(63, 121, 106)(64, 122, 124)(66, 125, 126)(68, 127, 93)(72, 87, 134)(75, 137, 138)(78, 118, 141)(79, 142, 143)(81, 144, 145)(83, 148, 149)(90, 123, 156)(96, 162, 114)(97, 164, 165)(98, 166, 167)(100, 150, 169)(101, 170, 109)(110, 181, 154)(113, 184, 186)(115, 187, 188)(119, 190, 191)(120, 192, 193)(128, 201, 136)(129, 155, 203)(130, 189, 205)(131, 206, 132)(133, 208, 196)(135, 211, 151)(139, 194, 217)(140, 218, 146)(147, 227, 197)(152, 231, 158)(153, 198, 233)(157, 237, 195)(159, 182, 239)(160, 240, 229)(161, 241, 242)(163, 245, 226)(168, 185, 220)(171, 223, 179)(172, 252, 253)(173, 215, 254)(174, 246, 256)(175, 257, 176)(177, 216, 230)(178, 259, 234)(180, 238, 261)(183, 262, 263)(199, 209, 235)(200, 270, 243)(202, 271, 222)(204, 212, 272)(207, 266, 273)(210, 249, 274)(213, 228, 275)(214, 276, 268)(219, 248, 225)(221, 265, 279)(224, 244, 269)(232, 250, 247)(236, 277, 282)(251, 291, 288)(255, 260, 284)(258, 290, 295)(264, 267, 297)(278, 298, 300)(280, 281, 286)(283, 293, 287)(285, 296, 299)(289, 294, 292)(301, 303, 309, 305)(302, 306, 316, 307)(304, 311, 327, 312)(308, 320, 346, 321)(310, 324, 355, 325)(313, 331, 368, 332)(314, 333, 372, 334)(315, 335, 375, 336)(317, 339, 383, 340)(318, 341, 387, 342)(319, 343, 390, 344)(322, 350, 376, 351)(323, 352, 406, 353)(326, 358, 415, 359)(328, 362, 420, 363)(329, 364, 423, 365)(330, 366, 393, 345)(337, 378, 416, 379)(338, 380, 357, 381)(347, 396, 463, 397)(348, 398, 360, 399)(349, 400, 468, 401)(354, 409, 480, 410)(356, 413, 485, 414)(361, 418, 385, 419)(367, 408, 461, 395)(369, 428, 502, 429)(370, 430, 504, 431)(371, 432, 507, 433)(373, 403, 473, 411)(374, 435, 512, 436)(377, 439, 516, 440)(382, 446, 526, 447)(384, 450, 530, 451)(386, 445, 515, 438)(388, 452, 532, 453)(389, 454, 534, 455)(391, 442, 521, 448)(392, 457, 538, 458)(394, 459, 481, 460)(402, 471, 551, 472)(404, 474, 555, 475)(405, 476, 558, 477)(407, 478, 560, 479)(412, 482, 465, 483)(417, 486, 552, 489)(421, 494, 553, 495)(422, 491, 565, 488)(424, 464, 546, 496)(425, 497, 569, 498)(426, 466, 542, 492)(427, 499, 508, 500)(434, 509, 503, 510)(437, 513, 527, 514)(441, 519, 578, 520)(443, 522, 580, 523)(444, 524, 581, 525)(449, 528, 501, 529)(456, 535, 533, 536)(462, 543, 588, 544)(467, 547, 589, 548)(469, 540, 585, 545)(470, 549, 590, 550)(484, 563, 596, 561)(487, 564, 506, 562)(490, 566, 594, 557)(493, 567, 531, 568)(505, 570, 598, 571)(511, 574, 600, 573)(517, 576, 599, 572)(518, 577, 591, 556)(537, 582, 595, 559)(539, 583, 579, 584)(541, 586, 575, 587)(554, 592, 597, 593)
	L = (1, 301)(2, 302)(3, 303)(4, 304)(5, 305)(6, 306)(7, 307)(8, 308)(9, 309)(10, 310)(11, 311)(12, 312)(13, 313)(14, 314)(15, 315)(16, 316)(17, 317)(18, 318)(19, 319)(20, 320)(21, 321)(22, 322)(23, 323)(24, 324)(25, 325)(26, 326)(27, 327)(28, 328)(29, 329)(30, 330)(31, 331)(32, 332)(33, 333)(34, 334)(35, 335)(36, 336)(37, 337)(38, 338)(39, 339)(40, 340)(41, 341)(42, 342)(43, 343)(44, 344)(45, 345)(46, 346)(47, 347)(48, 348)(49, 349)(50, 350)(51, 351)(52, 352)(53, 353)(54, 354)(55, 355)(56, 356)(57, 357)(58, 358)(59, 359)(60, 360)(61, 361)(62, 362)(63, 363)(64, 364)(65, 365)(66, 366)(67, 367)(68, 368)(69, 369)(70, 370)(71, 371)(72, 372)(73, 373)(74, 374)(75, 375)(76, 376)(77, 377)(78, 378)(79, 379)(80, 380)(81, 381)(82, 382)(83, 383)(84, 384)(85, 385)(86, 386)(87, 387)(88, 388)(89, 389)(90, 390)(91, 391)(92, 392)(93, 393)(94, 394)(95, 395)(96, 396)(97, 397)(98, 398)(99, 399)(100, 400)(101, 401)(102, 402)(103, 403)(104, 404)(105, 405)(106, 406)(107, 407)(108, 408)(109, 409)(110, 410)(111, 411)(112, 412)(113, 413)(114, 414)(115, 415)(116, 416)(117, 417)(118, 418)(119, 419)(120, 420)(121, 421)(122, 422)(123, 423)(124, 424)(125, 425)(126, 426)(127, 427)(128, 428)(129, 429)(130, 430)(131, 431)(132, 432)(133, 433)(134, 434)(135, 435)(136, 436)(137, 437)(138, 438)(139, 439)(140, 440)(141, 441)(142, 442)(143, 443)(144, 444)(145, 445)(146, 446)(147, 447)(148, 448)(149, 449)(150, 450)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: chiral
Dual of E26.1491
Transitivity :: ET+
Graph:: simple bipartite
	v = 175 e = 300 f = 75
	degree seq :: [ 3^100, 4^75 ]

E26.1485 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 4, 4})
Quotient :: edge
Aut^+ = ((C5 x C5) : C3) : C4 (small group id <300, 23>)
Aut   = ((C5 x C5) : C3) : C4 (small group id <300, 23>)
|r| :: 1
Presentation :: [ X1^3, X2^4, (X2 * X1)^4, (X2^-1 * X1)^4, X2^2 * X1 * X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1 * X2^-1 * X1^-1, X2^-1 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2^-1 * X1^-1 * X2^-1, (X2, X1^-1)^3, X2 * X1 * X2^-2 * X1 * X2^-2 * X1^-1 * X2 * X1^-1 * X2^-2 * 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, 26, 28)(12, 29, 30)(16, 37, 38)(20, 45, 47)(21, 48, 49)(24, 54, 42)(25, 56, 57)(27, 60, 61)(31, 67, 69)(32, 62, 70)(33, 71, 73)(34, 74, 35)(36, 76, 77)(39, 82, 65)(40, 84, 85)(41, 86, 88)(43, 89, 91)(44, 92, 58)(46, 94, 95)(50, 102, 104)(51, 105, 106)(52, 107, 99)(53, 109, 110)(55, 113, 114)(59, 119, 120)(63, 126, 127)(64, 128, 130)(66, 131, 132)(68, 134, 135)(72, 142, 143)(75, 147, 148)(78, 138, 152)(79, 153, 154)(80, 155, 149)(81, 157, 158)(83, 159, 160)(87, 164, 165)(90, 97, 169)(93, 146, 136)(96, 133, 116)(98, 175, 124)(100, 161, 178)(101, 121, 111)(103, 179, 180)(108, 187, 188)(112, 191, 167)(115, 196, 198)(117, 199, 200)(118, 144, 201)(122, 204, 205)(123, 206, 202)(125, 208, 209)(129, 213, 214)(137, 168, 222)(139, 223, 140)(141, 225, 215)(145, 163, 162)(150, 210, 232)(151, 233, 218)(156, 239, 194)(166, 216, 249)(170, 212, 211)(171, 252, 245)(172, 253, 228)(173, 255, 256)(174, 257, 258)(176, 243, 224)(177, 181, 234)(182, 261, 195)(183, 251, 217)(184, 192, 185)(186, 262, 246)(189, 265, 250)(190, 231, 266)(193, 268, 240)(197, 219, 271)(203, 270, 248)(207, 272, 244)(220, 275, 276)(221, 247, 235)(226, 230, 282)(227, 279, 274)(229, 283, 277)(236, 242, 237)(238, 286, 278)(241, 273, 281)(254, 293, 264)(259, 280, 296)(260, 297, 298)(263, 299, 287)(267, 300, 288)(269, 284, 295)(285, 290, 292)(289, 294, 291)(301, 303, 309, 305)(302, 306, 316, 307)(304, 311, 327, 312)(308, 320, 346, 321)(310, 324, 355, 325)(313, 331, 368, 332)(314, 333, 372, 334)(315, 335, 375, 336)(317, 339, 383, 340)(318, 341, 387, 342)(319, 343, 390, 344)(322, 350, 403, 351)(323, 352, 408, 353)(326, 358, 418, 359)(328, 362, 425, 363)(329, 364, 429, 365)(330, 366, 393, 345)(337, 378, 451, 379)(338, 380, 456, 381)(347, 396, 474, 397)(348, 398, 476, 399)(349, 400, 477, 401)(354, 411, 427, 412)(356, 415, 497, 416)(357, 417, 382, 402)(360, 421, 503, 422)(361, 423, 507, 424)(367, 410, 490, 433)(369, 436, 521, 437)(370, 438, 385, 439)(371, 440, 524, 441)(373, 405, 482, 444)(374, 445, 528, 446)(376, 409, 489, 449)(377, 450, 481, 404)(384, 461, 546, 462)(386, 458, 541, 463)(388, 443, 527, 466)(389, 467, 550, 468)(391, 453, 471, 394)(392, 470, 526, 442)(395, 472, 554, 473)(406, 483, 522, 484)(407, 485, 465, 486)(413, 492, 567, 493)(414, 494, 569, 495)(419, 457, 540, 502)(420, 498, 534, 452)(426, 510, 578, 511)(428, 475, 556, 512)(430, 469, 551, 515)(431, 500, 568, 516)(432, 504, 529, 447)(434, 517, 580, 518)(435, 519, 506, 520)(448, 530, 584, 531)(454, 535, 549, 536)(455, 537, 514, 538)(459, 542, 588, 543)(460, 544, 589, 545)(464, 547, 590, 548)(478, 552, 559, 479)(480, 513, 579, 560)(487, 523, 581, 563)(488, 564, 577, 509)(491, 555, 587, 539)(496, 561, 598, 570)(499, 566, 599, 572)(501, 557, 594, 573)(505, 574, 525, 575)(508, 576, 600, 565)(532, 583, 585, 533)(553, 591, 571, 592)(558, 595, 586, 596)(562, 597, 582, 593)
	L = (1, 301)(2, 302)(3, 303)(4, 304)(5, 305)(6, 306)(7, 307)(8, 308)(9, 309)(10, 310)(11, 311)(12, 312)(13, 313)(14, 314)(15, 315)(16, 316)(17, 317)(18, 318)(19, 319)(20, 320)(21, 321)(22, 322)(23, 323)(24, 324)(25, 325)(26, 326)(27, 327)(28, 328)(29, 329)(30, 330)(31, 331)(32, 332)(33, 333)(34, 334)(35, 335)(36, 336)(37, 337)(38, 338)(39, 339)(40, 340)(41, 341)(42, 342)(43, 343)(44, 344)(45, 345)(46, 346)(47, 347)(48, 348)(49, 349)(50, 350)(51, 351)(52, 352)(53, 353)(54, 354)(55, 355)(56, 356)(57, 357)(58, 358)(59, 359)(60, 360)(61, 361)(62, 362)(63, 363)(64, 364)(65, 365)(66, 366)(67, 367)(68, 368)(69, 369)(70, 370)(71, 371)(72, 372)(73, 373)(74, 374)(75, 375)(76, 376)(77, 377)(78, 378)(79, 379)(80, 380)(81, 381)(82, 382)(83, 383)(84, 384)(85, 385)(86, 386)(87, 387)(88, 388)(89, 389)(90, 390)(91, 391)(92, 392)(93, 393)(94, 394)(95, 395)(96, 396)(97, 397)(98, 398)(99, 399)(100, 400)(101, 401)(102, 402)(103, 403)(104, 404)(105, 405)(106, 406)(107, 407)(108, 408)(109, 409)(110, 410)(111, 411)(112, 412)(113, 413)(114, 414)(115, 415)(116, 416)(117, 417)(118, 418)(119, 419)(120, 420)(121, 421)(122, 422)(123, 423)(124, 424)(125, 425)(126, 426)(127, 427)(128, 428)(129, 429)(130, 430)(131, 431)(132, 432)(133, 433)(134, 434)(135, 435)(136, 436)(137, 437)(138, 438)(139, 439)(140, 440)(141, 441)(142, 442)(143, 443)(144, 444)(145, 445)(146, 446)(147, 447)(148, 448)(149, 449)(150, 450)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 175 e = 300 f = 75
	degree seq :: [ 3^100, 4^75 ]

E26.1486 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 4, 4})
Quotient :: edge
Aut^+ = ((C5 x C5) : C3) : C4 (small group id <300, 23>)
Aut   = ((C5 x C5) : C3) : C4 (small group id <300, 23>)
|r| :: 1
Presentation :: [ X1^3, X2^4, (X1 * X2^-1)^4, (X1 * X2)^4, X2 * X1^-1 * X2^2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2^-1 * X1^-1, X2 * X1 * X2 * X1^-1 * X2^2 * X1 * X2^-1 * X1 * X2 * X1^-1, (X2^-1, X1^-1)^3, X2^-1 * X1^-1 * X2^-2 * X1^-1 * X2 * X1 * X2^-2 * X1 * X2 * X1 * X2^-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, 26, 28)(12, 29, 30)(16, 37, 38)(20, 45, 47)(21, 48, 49)(24, 54, 42)(25, 56, 57)(27, 60, 61)(31, 67, 69)(32, 62, 70)(33, 71, 73)(34, 74, 35)(36, 76, 77)(39, 82, 65)(40, 84, 85)(41, 86, 88)(43, 89, 91)(44, 92, 58)(46, 94, 95)(50, 102, 104)(51, 105, 106)(52, 107, 99)(53, 109, 110)(55, 113, 114)(59, 119, 120)(63, 126, 127)(64, 128, 130)(66, 131, 132)(68, 134, 135)(72, 142, 143)(75, 147, 148)(78, 152, 154)(79, 97, 155)(80, 156, 150)(81, 158, 159)(83, 138, 161)(87, 164, 165)(90, 169, 170)(93, 171, 172)(96, 177, 116)(98, 140, 139)(100, 162, 180)(101, 125, 111)(103, 182, 183)(108, 188, 189)(112, 149, 167)(115, 196, 198)(117, 199, 129)(118, 200, 201)(121, 204, 206)(122, 146, 136)(123, 133, 203)(124, 208, 209)(137, 168, 219)(141, 222, 212)(144, 227, 211)(145, 228, 163)(151, 210, 232)(153, 233, 173)(157, 238, 226)(160, 202, 213)(166, 214, 246)(174, 185, 241)(175, 256, 253)(176, 257, 221)(178, 244, 259)(179, 230, 235)(181, 260, 225)(184, 224, 191)(186, 236, 218)(187, 252, 242)(190, 265, 247)(192, 248, 197)(193, 217, 266)(194, 245, 267)(195, 268, 269)(205, 273, 229)(207, 274, 251)(215, 277, 250)(216, 278, 272)(220, 271, 280)(223, 275, 237)(231, 270, 258)(234, 249, 240)(239, 286, 276)(243, 287, 254)(255, 292, 261)(262, 297, 296)(263, 295, 285)(264, 279, 298)(281, 291, 289)(282, 288, 300)(283, 294, 284)(290, 299, 293)(301, 303, 309, 305)(302, 306, 316, 307)(304, 311, 327, 312)(308, 320, 346, 321)(310, 324, 355, 325)(313, 331, 368, 332)(314, 333, 372, 334)(315, 335, 375, 336)(317, 339, 383, 340)(318, 341, 387, 342)(319, 343, 390, 344)(322, 350, 403, 351)(323, 352, 408, 353)(326, 358, 418, 359)(328, 362, 425, 363)(329, 364, 429, 365)(330, 366, 393, 345)(337, 378, 453, 379)(338, 380, 457, 381)(347, 396, 391, 397)(348, 398, 478, 399)(349, 400, 479, 401)(354, 411, 493, 412)(356, 415, 497, 416)(357, 417, 481, 402)(360, 421, 505, 422)(361, 423, 507, 424)(367, 410, 492, 433)(369, 436, 518, 437)(370, 438, 520, 439)(371, 440, 521, 441)(373, 405, 392, 444)(374, 445, 432, 446)(376, 449, 531, 450)(377, 451, 495, 414)(382, 413, 494, 460)(384, 462, 542, 463)(385, 434, 515, 452)(386, 459, 487, 407)(388, 406, 486, 466)(389, 467, 547, 468)(394, 473, 555, 474)(395, 475, 508, 476)(404, 484, 480, 485)(409, 490, 448, 491)(419, 502, 572, 503)(420, 498, 541, 461)(426, 510, 575, 511)(427, 464, 543, 504)(428, 509, 537, 456)(430, 455, 536, 512)(431, 513, 576, 514)(435, 516, 579, 517)(442, 523, 581, 524)(443, 525, 582, 526)(447, 529, 583, 530)(454, 534, 532, 535)(458, 539, 501, 540)(465, 544, 588, 545)(469, 548, 589, 549)(470, 550, 590, 551)(471, 552, 591, 553)(472, 554, 564, 489)(477, 488, 563, 558)(482, 561, 577, 519)(483, 562, 568, 500)(496, 569, 506, 556)(499, 570, 599, 571)(522, 573, 596, 560)(527, 574, 595, 559)(528, 538, 585, 578)(533, 584, 587, 546)(557, 593, 566, 594)(565, 598, 567, 597)(580, 592, 586, 600)
	L = (1, 301)(2, 302)(3, 303)(4, 304)(5, 305)(6, 306)(7, 307)(8, 308)(9, 309)(10, 310)(11, 311)(12, 312)(13, 313)(14, 314)(15, 315)(16, 316)(17, 317)(18, 318)(19, 319)(20, 320)(21, 321)(22, 322)(23, 323)(24, 324)(25, 325)(26, 326)(27, 327)(28, 328)(29, 329)(30, 330)(31, 331)(32, 332)(33, 333)(34, 334)(35, 335)(36, 336)(37, 337)(38, 338)(39, 339)(40, 340)(41, 341)(42, 342)(43, 343)(44, 344)(45, 345)(46, 346)(47, 347)(48, 348)(49, 349)(50, 350)(51, 351)(52, 352)(53, 353)(54, 354)(55, 355)(56, 356)(57, 357)(58, 358)(59, 359)(60, 360)(61, 361)(62, 362)(63, 363)(64, 364)(65, 365)(66, 366)(67, 367)(68, 368)(69, 369)(70, 370)(71, 371)(72, 372)(73, 373)(74, 374)(75, 375)(76, 376)(77, 377)(78, 378)(79, 379)(80, 380)(81, 381)(82, 382)(83, 383)(84, 384)(85, 385)(86, 386)(87, 387)(88, 388)(89, 389)(90, 390)(91, 391)(92, 392)(93, 393)(94, 394)(95, 395)(96, 396)(97, 397)(98, 398)(99, 399)(100, 400)(101, 401)(102, 402)(103, 403)(104, 404)(105, 405)(106, 406)(107, 407)(108, 408)(109, 409)(110, 410)(111, 411)(112, 412)(113, 413)(114, 414)(115, 415)(116, 416)(117, 417)(118, 418)(119, 419)(120, 420)(121, 421)(122, 422)(123, 423)(124, 424)(125, 425)(126, 426)(127, 427)(128, 428)(129, 429)(130, 430)(131, 431)(132, 432)(133, 433)(134, 434)(135, 435)(136, 436)(137, 437)(138, 438)(139, 439)(140, 440)(141, 441)(142, 442)(143, 443)(144, 444)(145, 445)(146, 446)(147, 447)(148, 448)(149, 449)(150, 450)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 175 e = 300 f = 75
	degree seq :: [ 3^100, 4^75 ]

E26.1487 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 4, 4})
Quotient :: edge
Aut^+ = ((C5 x C5) : C3) : C4 (small group id <300, 23>)
Aut   = ((C5 x C5) : C3) : C4 (small group id <300, 23>)
|r| :: 1
Presentation :: [ X1^4, X2^4, (X1^-1 * X2^-1)^3, X1 * X2^-1 * X1^-2 * X2^-2 * X1 * X2^-1 * X1^-1 * X2^-1, X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2^-2 * X1^-2, X1^-2 * X2^-2 * X1^2 * X2 * X1^-2 * X2^-1, X2^2 * X1^-1 * X2^-1 * X1 * X2 * X1^-2 * X2 * X1 * X2^-1 * X1^-1, X1 * X2^-2 * X1 * X2^-2 * X1 * X2^-2 * X1 * X2^2, (X2 * X1 * X2^-1 * X1 * X2^-1 * X1^-1)^2, (X2 * X1^-1)^6 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 6, 4)(3, 9, 23, 11)(5, 14, 34, 15)(7, 18, 43, 20)(8, 21, 49, 22)(10, 26, 59, 27)(12, 30, 68, 32)(13, 33, 56, 24)(16, 38, 84, 40)(17, 41, 90, 42)(19, 45, 98, 46)(25, 57, 120, 58)(28, 64, 132, 66)(29, 67, 126, 60)(31, 70, 95, 71)(35, 63, 131, 79)(36, 80, 104, 81)(37, 82, 160, 83)(39, 86, 54, 87)(44, 96, 182, 97)(47, 103, 194, 105)(48, 106, 188, 99)(50, 102, 193, 110)(51, 111, 170, 112)(52, 113, 209, 114)(53, 115, 76, 117)(55, 118, 216, 119)(61, 127, 171, 88)(62, 128, 225, 130)(65, 134, 75, 135)(69, 141, 235, 142)(72, 100, 189, 147)(73, 148, 237, 143)(74, 145, 219, 150)(77, 151, 164, 152)(78, 153, 243, 154)(85, 165, 245, 166)(89, 172, 248, 167)(91, 169, 252, 174)(92, 175, 146, 176)(93, 177, 260, 178)(94, 179, 107, 181)(101, 190, 269, 192)(108, 200, 140, 201)(109, 202, 275, 203)(116, 213, 124, 214)(121, 218, 261, 206)(122, 221, 159, 197)(123, 198, 158, 205)(125, 222, 285, 223)(129, 227, 139, 187)(133, 191, 271, 199)(136, 185, 253, 207)(137, 233, 287, 230)(138, 232, 156, 210)(144, 238, 284, 228)(149, 240, 280, 241)(155, 184, 267, 208)(157, 236, 262, 211)(161, 239, 258, 196)(162, 231, 246, 212)(163, 217, 257, 183)(168, 249, 291, 251)(173, 255, 295, 256)(180, 263, 186, 264)(195, 250, 293, 254)(204, 247, 290, 259)(215, 279, 296, 277)(220, 282, 229, 273)(224, 286, 289, 283)(226, 281, 297, 265)(234, 288, 300, 268)(242, 270, 244, 278)(266, 299, 272, 294)(274, 292, 276, 298)(301, 303, 310, 305)(302, 307, 319, 308)(304, 312, 331, 313)(306, 316, 339, 317)(309, 324, 355, 325)(311, 328, 365, 329)(314, 335, 378, 336)(315, 337, 344, 318)(320, 347, 404, 348)(321, 350, 409, 351)(322, 352, 385, 338)(323, 353, 416, 354)(326, 360, 425, 361)(327, 362, 429, 363)(330, 342, 393, 369)(332, 372, 446, 373)(333, 374, 449, 375)(334, 376, 390, 377)(340, 388, 470, 389)(341, 391, 473, 392)(343, 394, 480, 395)(345, 399, 487, 400)(346, 401, 491, 402)(349, 407, 356, 408)(357, 421, 503, 422)(358, 423, 477, 415)(359, 384, 464, 424)(364, 386, 467, 433)(366, 436, 474, 437)(367, 438, 534, 439)(368, 440, 486, 398)(370, 443, 495, 403)(371, 444, 522, 445)(379, 455, 471, 456)(380, 457, 502, 458)(381, 459, 515, 417)(382, 452, 466, 461)(383, 462, 544, 463)(387, 468, 550, 469)(396, 483, 556, 484)(397, 485, 418, 479)(405, 496, 450, 497)(406, 498, 573, 499)(410, 504, 447, 505)(411, 506, 555, 507)(412, 508, 565, 481)(413, 501, 442, 510)(414, 511, 576, 512)(419, 517, 581, 518)(420, 519, 426, 520)(427, 524, 575, 509)(428, 513, 577, 526)(430, 528, 551, 492)(431, 488, 566, 482)(432, 529, 580, 516)(434, 530, 574, 500)(435, 531, 453, 532)(441, 536, 454, 533)(448, 539, 586, 523)(451, 476, 559, 542)(460, 494, 572, 543)(465, 546, 541, 547)(472, 553, 594, 554)(475, 557, 540, 558)(478, 561, 596, 562)(489, 568, 595, 560)(490, 563, 597, 570)(493, 548, 589, 545)(514, 578, 592, 549)(521, 583, 593, 584)(525, 567, 600, 585)(527, 569, 590, 582)(535, 552, 537, 588)(538, 564, 598, 579)(571, 591, 587, 599)
	L = (1, 301)(2, 302)(3, 303)(4, 304)(5, 305)(6, 306)(7, 307)(8, 308)(9, 309)(10, 310)(11, 311)(12, 312)(13, 313)(14, 314)(15, 315)(16, 316)(17, 317)(18, 318)(19, 319)(20, 320)(21, 321)(22, 322)(23, 323)(24, 324)(25, 325)(26, 326)(27, 327)(28, 328)(29, 329)(30, 330)(31, 331)(32, 332)(33, 333)(34, 334)(35, 335)(36, 336)(37, 337)(38, 338)(39, 339)(40, 340)(41, 341)(42, 342)(43, 343)(44, 344)(45, 345)(46, 346)(47, 347)(48, 348)(49, 349)(50, 350)(51, 351)(52, 352)(53, 353)(54, 354)(55, 355)(56, 356)(57, 357)(58, 358)(59, 359)(60, 360)(61, 361)(62, 362)(63, 363)(64, 364)(65, 365)(66, 366)(67, 367)(68, 368)(69, 369)(70, 370)(71, 371)(72, 372)(73, 373)(74, 374)(75, 375)(76, 376)(77, 377)(78, 378)(79, 379)(80, 380)(81, 381)(82, 382)(83, 383)(84, 384)(85, 385)(86, 386)(87, 387)(88, 388)(89, 389)(90, 390)(91, 391)(92, 392)(93, 393)(94, 394)(95, 395)(96, 396)(97, 397)(98, 398)(99, 399)(100, 400)(101, 401)(102, 402)(103, 403)(104, 404)(105, 405)(106, 406)(107, 407)(108, 408)(109, 409)(110, 410)(111, 411)(112, 412)(113, 413)(114, 414)(115, 415)(116, 416)(117, 417)(118, 418)(119, 419)(120, 420)(121, 421)(122, 422)(123, 423)(124, 424)(125, 425)(126, 426)(127, 427)(128, 428)(129, 429)(130, 430)(131, 431)(132, 432)(133, 433)(134, 434)(135, 435)(136, 436)(137, 437)(138, 438)(139, 439)(140, 440)(141, 441)(142, 442)(143, 443)(144, 444)(145, 445)(146, 446)(147, 447)(148, 448)(149, 449)(150, 450)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)
	local type(s) :: { ( 6^4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 150 e = 300 f = 100
	degree seq :: [ 4^150 ]

E26.1488 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 4, 4})
Quotient :: loop
Aut^+ = ((C5 x C5) : C3) : C4 (small group id <300, 23>)
Aut   = ((C5 x C5) : C3) : C4 (small group id <300, 23>)
|r| :: 1
Presentation :: [ X1^3, X2^4, (X1^-1 * X2^-1)^4, (X2 * X1^-1)^4, X1 * X2^-1 * X1 * X2^-2 * X1^-1 * X2^2 * X1 * X2, (X2^-1, X1^-1)^3, X2 * X1 * X2 * X1^-1 * X2^-2 * X1^-1 * X2^-2 * X1^-1 * X2^-1 * X1 * X2^-1 * X1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 301, 2, 302, 4, 304)(3, 303, 8, 308, 10, 310)(5, 305, 13, 313, 14, 314)(6, 306, 15, 315, 17, 317)(7, 307, 18, 318, 19, 319)(9, 309, 22, 322, 23, 323)(11, 311, 26, 326, 28, 328)(12, 312, 29, 329, 30, 330)(16, 316, 37, 337, 38, 338)(20, 320, 45, 345, 47, 347)(21, 321, 48, 348, 49, 349)(24, 324, 54, 354, 42, 342)(25, 325, 56, 356, 57, 357)(27, 327, 60, 360, 61, 361)(31, 331, 67, 367, 69, 369)(32, 332, 62, 362, 70, 370)(33, 333, 71, 371, 73, 373)(34, 334, 74, 374, 35, 335)(36, 336, 76, 376, 77, 377)(39, 339, 82, 382, 65, 365)(40, 340, 84, 384, 85, 385)(41, 341, 86, 386, 88, 388)(43, 343, 89, 389, 91, 391)(44, 344, 92, 392, 58, 358)(46, 346, 94, 394, 95, 395)(50, 350, 80, 380, 102, 402)(51, 351, 103, 403, 104, 404)(52, 352, 105, 405, 99, 399)(53, 353, 107, 407, 108, 408)(55, 355, 111, 411, 112, 412)(59, 359, 116, 416, 117, 417)(63, 363, 121, 421, 106, 406)(64, 364, 122, 422, 124, 424)(66, 366, 125, 425, 126, 426)(68, 368, 127, 427, 93, 393)(72, 372, 87, 387, 134, 434)(75, 375, 137, 437, 138, 438)(78, 378, 118, 418, 141, 441)(79, 379, 142, 442, 143, 443)(81, 381, 144, 444, 145, 445)(83, 383, 148, 448, 149, 449)(90, 390, 123, 423, 156, 456)(96, 396, 162, 462, 114, 414)(97, 397, 164, 464, 165, 465)(98, 398, 166, 466, 167, 467)(100, 400, 150, 450, 169, 469)(101, 401, 170, 470, 109, 409)(110, 410, 181, 481, 154, 454)(113, 413, 184, 484, 186, 486)(115, 415, 187, 487, 188, 488)(119, 419, 190, 490, 191, 491)(120, 420, 192, 492, 193, 493)(128, 428, 201, 501, 136, 436)(129, 429, 155, 455, 203, 503)(130, 430, 189, 489, 205, 505)(131, 431, 206, 506, 132, 432)(133, 433, 208, 508, 196, 496)(135, 435, 211, 511, 151, 451)(139, 439, 194, 494, 217, 517)(140, 440, 218, 518, 146, 446)(147, 447, 227, 527, 197, 497)(152, 452, 231, 531, 158, 458)(153, 453, 198, 498, 233, 533)(157, 457, 237, 537, 195, 495)(159, 459, 182, 482, 239, 539)(160, 460, 240, 540, 229, 529)(161, 461, 241, 541, 242, 542)(163, 463, 245, 545, 226, 526)(168, 468, 185, 485, 220, 520)(171, 471, 223, 523, 179, 479)(172, 472, 252, 552, 253, 553)(173, 473, 215, 515, 254, 554)(174, 474, 246, 546, 256, 556)(175, 475, 257, 557, 176, 476)(177, 477, 216, 516, 230, 530)(178, 478, 259, 559, 234, 534)(180, 480, 238, 538, 261, 561)(183, 483, 262, 562, 263, 563)(199, 499, 209, 509, 235, 535)(200, 500, 270, 570, 243, 543)(202, 502, 271, 571, 222, 522)(204, 504, 212, 512, 272, 572)(207, 507, 266, 566, 273, 573)(210, 510, 249, 549, 274, 574)(213, 513, 228, 528, 275, 575)(214, 514, 276, 576, 268, 568)(219, 519, 248, 548, 225, 525)(221, 521, 265, 565, 279, 579)(224, 524, 244, 544, 269, 569)(232, 532, 250, 550, 247, 547)(236, 536, 277, 577, 282, 582)(251, 551, 291, 591, 288, 588)(255, 555, 260, 560, 284, 584)(258, 558, 290, 590, 295, 595)(264, 564, 267, 567, 297, 597)(278, 578, 298, 598, 300, 600)(280, 580, 281, 581, 286, 586)(283, 583, 293, 593, 287, 587)(285, 585, 296, 596, 299, 599)(289, 589, 294, 594, 292, 592)
	L = (1, 303)(2, 306)(3, 309)(4, 311)(5, 301)(6, 316)(7, 302)(8, 320)(9, 305)(10, 324)(11, 327)(12, 304)(13, 331)(14, 333)(15, 335)(16, 307)(17, 339)(18, 341)(19, 343)(20, 346)(21, 308)(22, 350)(23, 352)(24, 355)(25, 310)(26, 358)(27, 312)(28, 362)(29, 364)(30, 366)(31, 368)(32, 313)(33, 372)(34, 314)(35, 375)(36, 315)(37, 378)(38, 380)(39, 383)(40, 317)(41, 387)(42, 318)(43, 390)(44, 319)(45, 330)(46, 321)(47, 396)(48, 398)(49, 400)(50, 376)(51, 322)(52, 406)(53, 323)(54, 409)(55, 325)(56, 413)(57, 381)(58, 415)(59, 326)(60, 399)(61, 418)(62, 420)(63, 328)(64, 423)(65, 329)(66, 393)(67, 408)(68, 332)(69, 428)(70, 430)(71, 432)(72, 334)(73, 403)(74, 435)(75, 336)(76, 351)(77, 439)(78, 416)(79, 337)(80, 357)(81, 338)(82, 446)(83, 340)(84, 450)(85, 419)(86, 445)(87, 342)(88, 452)(89, 454)(90, 344)(91, 442)(92, 457)(93, 345)(94, 459)(95, 367)(96, 463)(97, 347)(98, 360)(99, 348)(100, 468)(101, 349)(102, 471)(103, 473)(104, 474)(105, 476)(106, 353)(107, 478)(108, 461)(109, 480)(110, 354)(111, 373)(112, 482)(113, 485)(114, 356)(115, 359)(116, 379)(117, 486)(118, 385)(119, 361)(120, 363)(121, 494)(122, 491)(123, 365)(124, 464)(125, 497)(126, 466)(127, 499)(128, 502)(129, 369)(130, 504)(131, 370)(132, 507)(133, 371)(134, 509)(135, 512)(136, 374)(137, 513)(138, 386)(139, 516)(140, 377)(141, 519)(142, 521)(143, 522)(144, 524)(145, 515)(146, 526)(147, 382)(148, 391)(149, 528)(150, 530)(151, 384)(152, 532)(153, 388)(154, 534)(155, 389)(156, 535)(157, 538)(158, 392)(159, 481)(160, 394)(161, 395)(162, 543)(163, 397)(164, 546)(165, 483)(166, 542)(167, 547)(168, 401)(169, 540)(170, 549)(171, 551)(172, 402)(173, 411)(174, 555)(175, 404)(176, 558)(177, 405)(178, 560)(179, 407)(180, 410)(181, 460)(182, 465)(183, 412)(184, 563)(185, 414)(186, 552)(187, 564)(188, 422)(189, 417)(190, 566)(191, 565)(192, 426)(193, 567)(194, 553)(195, 421)(196, 424)(197, 569)(198, 425)(199, 508)(200, 427)(201, 529)(202, 429)(203, 510)(204, 431)(205, 570)(206, 562)(207, 433)(208, 500)(209, 503)(210, 434)(211, 574)(212, 436)(213, 527)(214, 437)(215, 438)(216, 440)(217, 576)(218, 577)(219, 578)(220, 441)(221, 448)(222, 580)(223, 443)(224, 581)(225, 444)(226, 447)(227, 514)(228, 501)(229, 449)(230, 451)(231, 568)(232, 453)(233, 536)(234, 455)(235, 533)(236, 456)(237, 582)(238, 458)(239, 583)(240, 585)(241, 586)(242, 492)(243, 588)(244, 462)(245, 469)(246, 496)(247, 589)(248, 467)(249, 590)(250, 470)(251, 472)(252, 489)(253, 495)(254, 592)(255, 475)(256, 518)(257, 490)(258, 477)(259, 537)(260, 479)(261, 484)(262, 487)(263, 596)(264, 506)(265, 488)(266, 594)(267, 531)(268, 493)(269, 498)(270, 598)(271, 505)(272, 517)(273, 511)(274, 600)(275, 587)(276, 599)(277, 591)(278, 520)(279, 584)(280, 523)(281, 525)(282, 595)(283, 579)(284, 539)(285, 545)(286, 575)(287, 541)(288, 544)(289, 548)(290, 550)(291, 556)(292, 597)(293, 554)(294, 557)(295, 559)(296, 561)(297, 593)(298, 571)(299, 572)(300, 573)
	local type(s) :: { ( 4^6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 100 e = 300 f = 150
	degree seq :: [ 6^100 ]

E26.1489 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 4, 4})
Quotient :: loop
Aut^+ = ((C5 x C5) : C3) : C4 (small group id <300, 23>)
Aut   = ((C5 x C5) : C3) : C4 (small group id <300, 23>)
|r| :: 1
Presentation :: [ X1^4, X2^4, (X2 * X1)^3, (X1^-1 * X2^-1)^3, X1 * X2^2 * X1^2 * X2 * X1^-1 * X2 * X1 * X2^-1, X1 * X2^-1 * X1 * X2^2 * X1^-2 * X2 * X1^-1 * X2, X2 * X1^-1 * X2^-1 * X1^-1 * X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1 * X2^-1 * X1^-1, X2 * X1 * X2^-2 * X1 * X2^2 * X1 * X2^2 * X1 * X2, (X2^-1, X1^-1)^3, (X2 * X1^-1)^6 ]
Map:: polyhedral non-degenerate
	R = (1, 301, 2, 302, 6, 306, 4, 304)(3, 303, 9, 309, 23, 323, 11, 311)(5, 305, 14, 314, 34, 334, 15, 315)(7, 307, 18, 318, 43, 343, 20, 320)(8, 308, 21, 321, 49, 349, 22, 322)(10, 310, 26, 326, 59, 359, 27, 327)(12, 312, 30, 330, 68, 368, 32, 332)(13, 313, 33, 333, 56, 356, 24, 324)(16, 316, 38, 338, 84, 384, 40, 340)(17, 317, 41, 341, 90, 390, 42, 342)(19, 319, 45, 345, 98, 398, 46, 346)(25, 325, 57, 357, 124, 424, 58, 358)(28, 328, 64, 364, 135, 435, 66, 366)(29, 329, 67, 367, 129, 429, 60, 360)(31, 331, 70, 370, 145, 445, 71, 371)(35, 335, 63, 363, 134, 434, 79, 379)(36, 336, 80, 380, 109, 409, 81, 381)(37, 337, 82, 382, 163, 463, 83, 383)(39, 339, 86, 386, 170, 470, 87, 387)(44, 344, 96, 396, 190, 490, 97, 397)(47, 347, 103, 403, 200, 500, 105, 405)(48, 348, 106, 406, 194, 494, 99, 399)(50, 350, 102, 402, 199, 499, 110, 410)(51, 351, 111, 411, 179, 479, 112, 412)(52, 352, 113, 413, 214, 514, 114, 414)(53, 353, 115, 415, 178, 478, 117, 417)(54, 354, 118, 418, 220, 520, 119, 419)(55, 355, 120, 420, 222, 522, 121, 421)(61, 361, 130, 430, 233, 533, 131, 431)(62, 362, 132, 432, 175, 475, 88, 388)(65, 365, 136, 436, 236, 536, 137, 437)(69, 369, 143, 443, 242, 542, 144, 444)(72, 372, 101, 401, 197, 497, 150, 450)(73, 373, 126, 426, 228, 528, 146, 446)(74, 374, 148, 448, 232, 532, 152, 452)(75, 375, 153, 453, 78, 378, 154, 454)(76, 376, 155, 455, 237, 537, 139, 439)(77, 377, 156, 456, 166, 466, 157, 457)(85, 385, 168, 468, 254, 554, 169, 469)(89, 389, 176, 476, 257, 557, 171, 471)(91, 391, 173, 473, 260, 560, 180, 480)(92, 392, 181, 481, 151, 451, 182, 482)(93, 393, 183, 483, 270, 570, 184, 484)(94, 394, 185, 485, 123, 423, 187, 487)(95, 395, 188, 488, 128, 428, 189, 489)(100, 400, 195, 495, 280, 580, 196, 496)(104, 404, 201, 501, 283, 583, 202, 502)(107, 407, 206, 506, 284, 584, 204, 504)(108, 408, 207, 507, 141, 441, 208, 508)(116, 416, 217, 517, 274, 574, 218, 518)(122, 422, 224, 524, 288, 588, 225, 525)(125, 425, 205, 505, 162, 462, 210, 510)(127, 427, 230, 530, 290, 590, 231, 531)(133, 433, 167, 467, 253, 553, 193, 493)(138, 438, 223, 523, 267, 567, 212, 512)(140, 440, 239, 539, 159, 459, 215, 515)(142, 442, 238, 538, 256, 556, 198, 498)(147, 447, 244, 544, 293, 593, 245, 545)(149, 449, 246, 546, 291, 591, 247, 547)(158, 458, 191, 491, 265, 565, 213, 513)(160, 460, 250, 550, 263, 563, 216, 516)(161, 461, 248, 548, 271, 571, 211, 511)(164, 464, 229, 529, 269, 569, 209, 509)(165, 465, 249, 549, 268, 568, 203, 503)(172, 472, 258, 558, 297, 597, 259, 559)(174, 474, 261, 561, 298, 598, 262, 562)(177, 477, 266, 566, 299, 599, 264, 564)(186, 486, 272, 572, 251, 551, 273, 573)(192, 492, 278, 578, 221, 521, 279, 579)(219, 519, 282, 582, 241, 541, 287, 587)(226, 526, 285, 585, 296, 596, 289, 589)(227, 527, 275, 575, 234, 534, 255, 555)(235, 535, 252, 552, 294, 594, 286, 586)(240, 540, 276, 576, 300, 600, 292, 592)(243, 543, 277, 577, 295, 595, 281, 581)
	L = (1, 303)(2, 307)(3, 310)(4, 312)(5, 301)(6, 316)(7, 319)(8, 302)(9, 324)(10, 305)(11, 328)(12, 331)(13, 304)(14, 335)(15, 337)(16, 339)(17, 306)(18, 315)(19, 308)(20, 347)(21, 350)(22, 352)(23, 353)(24, 355)(25, 309)(26, 360)(27, 362)(28, 365)(29, 311)(30, 342)(31, 313)(32, 372)(33, 374)(34, 376)(35, 378)(36, 314)(37, 344)(38, 322)(39, 317)(40, 388)(41, 391)(42, 393)(43, 394)(44, 318)(45, 399)(46, 401)(47, 404)(48, 320)(49, 407)(50, 409)(51, 321)(52, 385)(53, 416)(54, 323)(55, 325)(56, 422)(57, 408)(58, 425)(59, 426)(60, 428)(61, 326)(62, 433)(63, 327)(64, 419)(65, 329)(66, 438)(67, 440)(68, 441)(69, 330)(70, 446)(71, 403)(72, 449)(73, 332)(74, 451)(75, 333)(76, 443)(77, 334)(78, 336)(79, 458)(80, 460)(81, 462)(82, 457)(83, 465)(84, 466)(85, 338)(86, 471)(87, 364)(88, 474)(89, 340)(90, 477)(91, 479)(92, 341)(93, 369)(94, 486)(95, 343)(96, 478)(97, 491)(98, 367)(99, 493)(100, 345)(101, 498)(102, 346)(103, 489)(104, 348)(105, 503)(106, 505)(107, 357)(108, 349)(109, 351)(110, 509)(111, 511)(112, 513)(113, 508)(114, 516)(115, 358)(116, 354)(117, 383)(118, 501)(119, 473)(120, 485)(121, 523)(122, 468)(123, 356)(124, 526)(125, 483)(126, 529)(127, 359)(128, 361)(129, 496)(130, 527)(131, 514)(132, 531)(133, 363)(134, 494)(135, 534)(136, 537)(137, 524)(138, 540)(139, 366)(140, 492)(141, 541)(142, 368)(143, 377)(144, 515)(145, 476)(146, 520)(147, 370)(148, 371)(149, 373)(150, 548)(151, 375)(152, 510)(153, 549)(154, 539)(155, 381)(156, 484)(157, 469)(158, 480)(159, 379)(160, 533)(161, 380)(162, 502)(163, 499)(164, 382)(165, 519)(166, 552)(167, 384)(168, 423)(169, 464)(170, 406)(171, 556)(172, 386)(173, 387)(174, 389)(175, 563)(176, 565)(177, 396)(178, 390)(179, 392)(180, 459)(181, 567)(182, 569)(183, 415)(184, 571)(185, 397)(186, 395)(187, 414)(188, 561)(189, 448)(190, 576)(191, 420)(192, 398)(193, 400)(194, 559)(195, 577)(196, 570)(197, 579)(198, 402)(199, 557)(200, 581)(201, 584)(202, 455)(203, 585)(204, 405)(205, 555)(206, 412)(207, 421)(208, 444)(209, 452)(210, 410)(211, 580)(212, 411)(213, 562)(214, 560)(215, 413)(216, 574)(217, 587)(218, 432)(219, 417)(220, 447)(221, 418)(222, 434)(223, 586)(224, 454)(225, 450)(226, 430)(227, 424)(228, 431)(229, 427)(230, 554)(231, 583)(232, 429)(233, 461)(234, 591)(235, 435)(236, 582)(237, 590)(238, 436)(239, 437)(240, 439)(241, 442)(242, 592)(243, 445)(244, 578)(245, 463)(246, 588)(247, 566)(248, 589)(249, 593)(250, 453)(251, 456)(252, 467)(253, 546)(254, 596)(255, 470)(256, 472)(257, 545)(258, 530)(259, 522)(260, 528)(261, 599)(262, 506)(263, 600)(264, 475)(265, 543)(266, 482)(267, 597)(268, 481)(269, 547)(270, 532)(271, 551)(272, 517)(273, 497)(274, 487)(275, 488)(276, 495)(277, 490)(278, 542)(279, 598)(280, 512)(281, 536)(282, 500)(283, 518)(284, 521)(285, 504)(286, 507)(287, 594)(288, 595)(289, 525)(290, 538)(291, 535)(292, 544)(293, 550)(294, 572)(295, 553)(296, 558)(297, 568)(298, 573)(299, 575)(300, 564)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple
	v = 75 e = 300 f = 175
	degree seq :: [ 8^75 ]

E26.1490 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 4, 4})
Quotient :: loop
Aut^+ = ((C5 x C5) : C3) : C4 (small group id <300, 23>)
Aut   = ((C5 x C5) : C3) : C4 (small group id <300, 23>)
|r| :: 1
Presentation :: [ X1^4, X2^4, (X1^-1 * X2^-1)^3, X1 * X2^-1 * X1^-2 * X2^-2 * X1 * X2^-1 * X1^-1 * X2^-1, X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2^-2 * X1^-2, X1^-2 * X2^-2 * X1^2 * X2 * X1^-2 * X2^-1, X2^2 * X1^-1 * X2^-1 * X1 * X2 * X1^-2 * X2 * X1 * X2^-1 * X1^-1, X1 * X2^-2 * X1 * X2^-2 * X1 * X2^-2 * X1 * X2^2, (X2 * X1 * X2^-1 * X1 * X2^-1 * X1^-1)^2, (X2 * X1^-1)^6 ]
Map:: polyhedral non-degenerate
	R = (1, 301, 2, 302, 6, 306, 4, 304)(3, 303, 9, 309, 23, 323, 11, 311)(5, 305, 14, 314, 34, 334, 15, 315)(7, 307, 18, 318, 43, 343, 20, 320)(8, 308, 21, 321, 49, 349, 22, 322)(10, 310, 26, 326, 59, 359, 27, 327)(12, 312, 30, 330, 68, 368, 32, 332)(13, 313, 33, 333, 56, 356, 24, 324)(16, 316, 38, 338, 84, 384, 40, 340)(17, 317, 41, 341, 90, 390, 42, 342)(19, 319, 45, 345, 98, 398, 46, 346)(25, 325, 57, 357, 120, 420, 58, 358)(28, 328, 64, 364, 132, 432, 66, 366)(29, 329, 67, 367, 126, 426, 60, 360)(31, 331, 70, 370, 95, 395, 71, 371)(35, 335, 63, 363, 131, 431, 79, 379)(36, 336, 80, 380, 104, 404, 81, 381)(37, 337, 82, 382, 160, 460, 83, 383)(39, 339, 86, 386, 54, 354, 87, 387)(44, 344, 96, 396, 182, 482, 97, 397)(47, 347, 103, 403, 194, 494, 105, 405)(48, 348, 106, 406, 188, 488, 99, 399)(50, 350, 102, 402, 193, 493, 110, 410)(51, 351, 111, 411, 170, 470, 112, 412)(52, 352, 113, 413, 209, 509, 114, 414)(53, 353, 115, 415, 76, 376, 117, 417)(55, 355, 118, 418, 216, 516, 119, 419)(61, 361, 127, 427, 171, 471, 88, 388)(62, 362, 128, 428, 225, 525, 130, 430)(65, 365, 134, 434, 75, 375, 135, 435)(69, 369, 141, 441, 235, 535, 142, 442)(72, 372, 100, 400, 189, 489, 147, 447)(73, 373, 148, 448, 237, 537, 143, 443)(74, 374, 145, 445, 219, 519, 150, 450)(77, 377, 151, 451, 164, 464, 152, 452)(78, 378, 153, 453, 243, 543, 154, 454)(85, 385, 165, 465, 245, 545, 166, 466)(89, 389, 172, 472, 248, 548, 167, 467)(91, 391, 169, 469, 252, 552, 174, 474)(92, 392, 175, 475, 146, 446, 176, 476)(93, 393, 177, 477, 260, 560, 178, 478)(94, 394, 179, 479, 107, 407, 181, 481)(101, 401, 190, 490, 269, 569, 192, 492)(108, 408, 200, 500, 140, 440, 201, 501)(109, 409, 202, 502, 275, 575, 203, 503)(116, 416, 213, 513, 124, 424, 214, 514)(121, 421, 218, 518, 261, 561, 206, 506)(122, 422, 221, 521, 159, 459, 197, 497)(123, 423, 198, 498, 158, 458, 205, 505)(125, 425, 222, 522, 285, 585, 223, 523)(129, 429, 227, 527, 139, 439, 187, 487)(133, 433, 191, 491, 271, 571, 199, 499)(136, 436, 185, 485, 253, 553, 207, 507)(137, 437, 233, 533, 287, 587, 230, 530)(138, 438, 232, 532, 156, 456, 210, 510)(144, 444, 238, 538, 284, 584, 228, 528)(149, 449, 240, 540, 280, 580, 241, 541)(155, 455, 184, 484, 267, 567, 208, 508)(157, 457, 236, 536, 262, 562, 211, 511)(161, 461, 239, 539, 258, 558, 196, 496)(162, 462, 231, 531, 246, 546, 212, 512)(163, 463, 217, 517, 257, 557, 183, 483)(168, 468, 249, 549, 291, 591, 251, 551)(173, 473, 255, 555, 295, 595, 256, 556)(180, 480, 263, 563, 186, 486, 264, 564)(195, 495, 250, 550, 293, 593, 254, 554)(204, 504, 247, 547, 290, 590, 259, 559)(215, 515, 279, 579, 296, 596, 277, 577)(220, 520, 282, 582, 229, 529, 273, 573)(224, 524, 286, 586, 289, 589, 283, 583)(226, 526, 281, 581, 297, 597, 265, 565)(234, 534, 288, 588, 300, 600, 268, 568)(242, 542, 270, 570, 244, 544, 278, 578)(266, 566, 299, 599, 272, 572, 294, 594)(274, 574, 292, 592, 276, 576, 298, 598)
	L = (1, 303)(2, 307)(3, 310)(4, 312)(5, 301)(6, 316)(7, 319)(8, 302)(9, 324)(10, 305)(11, 328)(12, 331)(13, 304)(14, 335)(15, 337)(16, 339)(17, 306)(18, 315)(19, 308)(20, 347)(21, 350)(22, 352)(23, 353)(24, 355)(25, 309)(26, 360)(27, 362)(28, 365)(29, 311)(30, 342)(31, 313)(32, 372)(33, 374)(34, 376)(35, 378)(36, 314)(37, 344)(38, 322)(39, 317)(40, 388)(41, 391)(42, 393)(43, 394)(44, 318)(45, 399)(46, 401)(47, 404)(48, 320)(49, 407)(50, 409)(51, 321)(52, 385)(53, 416)(54, 323)(55, 325)(56, 408)(57, 421)(58, 423)(59, 384)(60, 425)(61, 326)(62, 429)(63, 327)(64, 386)(65, 329)(66, 436)(67, 438)(68, 440)(69, 330)(70, 443)(71, 444)(72, 446)(73, 332)(74, 449)(75, 333)(76, 390)(77, 334)(78, 336)(79, 455)(80, 457)(81, 459)(82, 452)(83, 462)(84, 464)(85, 338)(86, 467)(87, 468)(88, 470)(89, 340)(90, 377)(91, 473)(92, 341)(93, 369)(94, 480)(95, 343)(96, 483)(97, 485)(98, 368)(99, 487)(100, 345)(101, 491)(102, 346)(103, 370)(104, 348)(105, 496)(106, 498)(107, 356)(108, 349)(109, 351)(110, 504)(111, 506)(112, 508)(113, 501)(114, 511)(115, 358)(116, 354)(117, 381)(118, 479)(119, 517)(120, 519)(121, 503)(122, 357)(123, 477)(124, 359)(125, 361)(126, 520)(127, 524)(128, 513)(129, 363)(130, 528)(131, 488)(132, 529)(133, 364)(134, 530)(135, 531)(136, 474)(137, 366)(138, 534)(139, 367)(140, 486)(141, 536)(142, 510)(143, 495)(144, 522)(145, 371)(146, 373)(147, 505)(148, 539)(149, 375)(150, 497)(151, 476)(152, 466)(153, 532)(154, 533)(155, 471)(156, 379)(157, 502)(158, 380)(159, 515)(160, 494)(161, 382)(162, 544)(163, 383)(164, 424)(165, 546)(166, 461)(167, 433)(168, 550)(169, 387)(170, 389)(171, 456)(172, 553)(173, 392)(174, 437)(175, 557)(176, 559)(177, 415)(178, 561)(179, 397)(180, 395)(181, 412)(182, 431)(183, 556)(184, 396)(185, 418)(186, 398)(187, 400)(188, 566)(189, 568)(190, 563)(191, 402)(192, 430)(193, 548)(194, 572)(195, 403)(196, 450)(197, 405)(198, 573)(199, 406)(200, 434)(201, 442)(202, 458)(203, 422)(204, 447)(205, 410)(206, 555)(207, 411)(208, 565)(209, 427)(210, 413)(211, 576)(212, 414)(213, 577)(214, 578)(215, 417)(216, 432)(217, 581)(218, 419)(219, 426)(220, 420)(221, 583)(222, 445)(223, 448)(224, 575)(225, 567)(226, 428)(227, 569)(228, 551)(229, 580)(230, 574)(231, 453)(232, 435)(233, 441)(234, 439)(235, 552)(236, 454)(237, 588)(238, 564)(239, 586)(240, 558)(241, 547)(242, 451)(243, 460)(244, 463)(245, 493)(246, 541)(247, 465)(248, 589)(249, 514)(250, 469)(251, 492)(252, 537)(253, 594)(254, 472)(255, 507)(256, 484)(257, 540)(258, 475)(259, 542)(260, 489)(261, 596)(262, 478)(263, 597)(264, 598)(265, 481)(266, 482)(267, 600)(268, 595)(269, 590)(270, 490)(271, 591)(272, 543)(273, 499)(274, 500)(275, 509)(276, 512)(277, 526)(278, 592)(279, 538)(280, 516)(281, 518)(282, 527)(283, 593)(284, 521)(285, 525)(286, 523)(287, 599)(288, 535)(289, 545)(290, 582)(291, 587)(292, 549)(293, 584)(294, 554)(295, 560)(296, 562)(297, 570)(298, 579)(299, 571)(300, 585)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple
	v = 75 e = 300 f = 175
	degree seq :: [ 8^75 ]

E26.1491 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 4, 4})
Quotient :: loop
Aut^+ = ((C5 x C5) : C3) : C4 (small group id <300, 23>)
Aut   = ((C5 x C5) : C3) : C4 (small group id <300, 23>)
|r| :: 1
Presentation :: [ X2^4, X1^4, (X1^-1 * X2^-1)^3, X2 * X1^-1 * X2^-1 * X1^-1 * X2 * X1^2 * X2^2 * X1^-1, X1^-1 * X2 * X1^-1 * X2^-1 * X1^-1 * X2 * X1^-2 * X2^-2, X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2^-2 * X1^-2, X2^-2 * X1 * X2^2 * X1^2 * X2^-2 * X1^-1, (X2 * X1^-2)^4, X1^-1 * X2^-1 * X1^-2 * X2^-1 * X1^-2 * X2^-1 * X1^2 * X2^-1 * X1^-1, X2^2 * X1^-1 * X2^-1 * X1 * X2 * X1^-2 * X2 * X1 * X2^-1 * X1^-1, (X2^-1, X1^-1)^3, (X2 * X1^-1)^6 ]
Map:: polyhedral non-degenerate
	R = (1, 301, 2, 302, 6, 306, 4, 304)(3, 303, 9, 309, 23, 323, 11, 311)(5, 305, 14, 314, 34, 334, 15, 315)(7, 307, 18, 318, 43, 343, 20, 320)(8, 308, 21, 321, 49, 349, 22, 322)(10, 310, 26, 326, 59, 359, 27, 327)(12, 312, 30, 330, 68, 368, 32, 332)(13, 313, 33, 333, 56, 356, 24, 324)(16, 316, 38, 338, 84, 384, 40, 340)(17, 317, 41, 341, 90, 390, 42, 342)(19, 319, 45, 345, 98, 398, 46, 346)(25, 325, 57, 357, 123, 423, 58, 358)(28, 328, 64, 364, 134, 434, 66, 366)(29, 329, 67, 367, 129, 429, 60, 360)(31, 331, 70, 370, 144, 444, 71, 371)(35, 335, 63, 363, 133, 433, 79, 379)(36, 336, 80, 380, 158, 458, 81, 381)(37, 337, 82, 382, 109, 409, 83, 383)(39, 339, 86, 386, 168, 468, 87, 387)(44, 344, 96, 396, 187, 487, 97, 397)(47, 347, 103, 403, 194, 494, 105, 405)(48, 348, 106, 406, 189, 489, 99, 399)(50, 350, 102, 402, 193, 493, 110, 410)(51, 351, 111, 411, 207, 507, 112, 412)(52, 352, 113, 413, 177, 477, 114, 414)(53, 353, 115, 415, 176, 476, 116, 416)(54, 354, 117, 417, 214, 514, 118, 418)(55, 355, 119, 419, 78, 378, 120, 420)(61, 361, 130, 430, 227, 527, 131, 431)(62, 362, 132, 432, 178, 478, 91, 391)(65, 365, 136, 436, 232, 532, 137, 437)(69, 369, 142, 442, 236, 536, 143, 443)(72, 372, 145, 445, 229, 529, 147, 447)(73, 373, 148, 448, 225, 525, 128, 428)(74, 374, 101, 401, 192, 492, 150, 450)(75, 375, 151, 451, 241, 541, 152, 452)(76, 376, 153, 453, 240, 540, 154, 454)(77, 377, 139, 439, 164, 464, 155, 455)(85, 385, 166, 466, 247, 547, 167, 467)(88, 388, 171, 471, 251, 551, 173, 473)(89, 389, 174, 474, 248, 548, 169, 469)(92, 392, 179, 479, 258, 558, 180, 480)(93, 393, 181, 481, 149, 449, 182, 482)(94, 394, 183, 483, 122, 422, 184, 484)(95, 395, 185, 485, 262, 562, 186, 486)(100, 400, 190, 490, 267, 567, 191, 491)(104, 404, 196, 496, 271, 571, 197, 497)(107, 407, 202, 502, 141, 441, 203, 503)(108, 408, 199, 499, 125, 425, 204, 504)(121, 421, 218, 518, 256, 556, 195, 495)(124, 424, 217, 517, 281, 581, 222, 522)(126, 426, 200, 500, 163, 463, 206, 506)(127, 427, 223, 523, 278, 578, 224, 524)(135, 435, 175, 475, 257, 557, 201, 501)(138, 438, 233, 533, 161, 461, 209, 509)(140, 440, 216, 516, 157, 457, 211, 511)(146, 446, 219, 519, 283, 583, 237, 537)(156, 456, 198, 498, 272, 572, 210, 510)(159, 459, 188, 488, 255, 555, 212, 512)(160, 460, 238, 538, 286, 586, 242, 542)(162, 462, 239, 539, 260, 560, 208, 508)(165, 465, 245, 545, 289, 589, 246, 546)(170, 470, 249, 549, 293, 593, 250, 550)(172, 472, 252, 552, 295, 595, 253, 553)(205, 505, 254, 554, 296, 596, 259, 559)(213, 513, 270, 570, 300, 600, 264, 564)(215, 515, 279, 579, 235, 535, 280, 580)(220, 520, 273, 573, 231, 531, 284, 584)(221, 521, 263, 563, 228, 528, 274, 574)(226, 526, 275, 575, 292, 592, 282, 582)(230, 530, 277, 577, 290, 590, 261, 561)(234, 534, 269, 569, 299, 599, 287, 587)(243, 543, 266, 566, 298, 598, 285, 585)(244, 544, 268, 568, 297, 597, 265, 565)(276, 576, 294, 594, 288, 588, 291, 591)
	L = (1, 303)(2, 307)(3, 310)(4, 312)(5, 301)(6, 316)(7, 319)(8, 302)(9, 324)(10, 305)(11, 328)(12, 331)(13, 304)(14, 335)(15, 337)(16, 339)(17, 306)(18, 315)(19, 308)(20, 347)(21, 350)(22, 352)(23, 353)(24, 355)(25, 309)(26, 360)(27, 362)(28, 365)(29, 311)(30, 342)(31, 313)(32, 372)(33, 374)(34, 376)(35, 378)(36, 314)(37, 344)(38, 322)(39, 317)(40, 388)(41, 391)(42, 393)(43, 394)(44, 318)(45, 399)(46, 401)(47, 404)(48, 320)(49, 407)(50, 409)(51, 321)(52, 385)(53, 396)(54, 323)(55, 325)(56, 421)(57, 424)(58, 426)(59, 427)(60, 398)(61, 326)(62, 387)(63, 327)(64, 418)(65, 329)(66, 438)(67, 440)(68, 425)(69, 330)(70, 428)(71, 402)(72, 446)(73, 332)(74, 449)(75, 333)(76, 436)(77, 334)(78, 336)(79, 456)(80, 459)(81, 461)(82, 455)(83, 463)(84, 464)(85, 338)(86, 469)(87, 363)(88, 472)(89, 340)(90, 475)(91, 477)(92, 341)(93, 369)(94, 466)(95, 343)(96, 354)(97, 488)(98, 361)(99, 468)(100, 345)(101, 371)(102, 346)(103, 486)(104, 348)(105, 498)(106, 500)(107, 496)(108, 349)(109, 351)(110, 505)(111, 508)(112, 510)(113, 504)(114, 512)(115, 358)(116, 473)(117, 383)(118, 515)(119, 483)(120, 516)(121, 519)(122, 356)(123, 520)(124, 368)(125, 357)(126, 481)(127, 370)(128, 359)(129, 526)(130, 491)(131, 529)(132, 525)(133, 489)(134, 528)(135, 364)(136, 377)(137, 517)(138, 534)(139, 366)(140, 535)(141, 367)(142, 465)(143, 511)(144, 470)(145, 522)(146, 373)(147, 538)(148, 539)(149, 375)(150, 509)(151, 506)(152, 542)(153, 381)(154, 471)(155, 467)(156, 479)(157, 379)(158, 541)(159, 478)(160, 380)(161, 543)(162, 382)(163, 497)(164, 442)(165, 384)(166, 395)(167, 462)(168, 400)(169, 444)(170, 386)(171, 546)(172, 389)(173, 554)(174, 555)(175, 552)(176, 390)(177, 392)(178, 460)(179, 457)(180, 559)(181, 415)(182, 560)(183, 397)(184, 447)(185, 414)(186, 563)(187, 564)(188, 419)(189, 566)(190, 550)(191, 434)(192, 429)(193, 548)(194, 568)(195, 403)(196, 408)(197, 417)(198, 573)(199, 405)(200, 574)(201, 406)(202, 412)(203, 445)(204, 443)(205, 451)(206, 410)(207, 458)(208, 450)(209, 411)(210, 575)(211, 413)(212, 553)(213, 416)(214, 577)(215, 435)(216, 437)(217, 420)(218, 452)(219, 422)(220, 583)(221, 423)(222, 576)(223, 431)(224, 551)(225, 585)(226, 569)(227, 562)(228, 430)(229, 579)(230, 432)(231, 433)(232, 565)(233, 567)(234, 439)(235, 441)(236, 587)(237, 545)(238, 561)(239, 588)(240, 448)(241, 558)(242, 582)(243, 453)(244, 454)(245, 482)(246, 544)(247, 590)(248, 592)(249, 524)(250, 494)(251, 594)(252, 476)(253, 485)(254, 513)(255, 597)(256, 474)(257, 480)(258, 507)(259, 598)(260, 537)(261, 484)(262, 599)(263, 495)(264, 532)(265, 487)(266, 531)(267, 589)(268, 490)(269, 492)(270, 493)(271, 591)(272, 593)(273, 499)(274, 501)(275, 502)(276, 503)(277, 596)(278, 514)(279, 523)(280, 536)(281, 600)(282, 518)(283, 521)(284, 533)(285, 530)(286, 527)(287, 595)(288, 540)(289, 584)(290, 571)(291, 547)(292, 570)(293, 581)(294, 549)(295, 580)(296, 578)(297, 556)(298, 557)(299, 586)(300, 572)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: chiral
Dual of E26.1484
Transitivity :: ET+ VT+
Graph:: simple
	v = 75 e = 300 f = 175
	degree seq :: [ 8^75 ]

E26.1492 :: Family: { 2*ex } :: Oriented family(ies): { E3c }
Signature :: (0; {3, 4, 4})
Quotient :: loop
Aut^+ = ((C5 x C5) : C3) : C4 (small group id <300, 23>)
Aut   = $<600, 151>$ (small group id <600, 151>)
|r| :: 2
Presentation :: [ F^2, T1^4, F * T1 * F * T2, T2^4, (T1^-1 * T2^-1)^3, T1 * T2^-4 * T1^3, T2 * T1^-1 * T2^-2 * T1^2 * T2^-1 * T1 * T2^-1 * T1^-1, T2 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^2 * T1 * T2, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1, T2 * T1^-2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2, T2 * T1 * T2^-1 * T1^-2 * T2 * T1^-1 * T2^-1 * T1 * T2^-2 * T1^-1, (T2 * T1^-1)^6 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 10, 5)(2, 7, 19, 8)(4, 12, 31, 13)(6, 16, 39, 17)(9, 24, 55, 25)(11, 28, 65, 29)(14, 35, 78, 36)(15, 37, 44, 18)(20, 47, 104, 48)(21, 50, 109, 51)(22, 52, 85, 38)(23, 53, 114, 54)(26, 60, 128, 61)(27, 62, 132, 63)(30, 42, 93, 69)(32, 72, 135, 73)(33, 74, 152, 75)(34, 76, 156, 77)(40, 88, 175, 89)(41, 91, 180, 92)(43, 94, 184, 95)(45, 99, 194, 100)(46, 101, 198, 102)(49, 107, 207, 108)(56, 121, 222, 122)(57, 124, 225, 125)(58, 126, 183, 115)(59, 127, 212, 110)(64, 118, 220, 136)(66, 137, 232, 138)(67, 139, 177, 140)(68, 141, 83, 142)(70, 146, 206, 112)(71, 147, 229, 148)(79, 145, 243, 161)(80, 117, 219, 163)(81, 86, 171, 155)(82, 158, 169, 165)(84, 166, 120, 167)(87, 172, 259, 173)(90, 178, 265, 179)(96, 190, 275, 191)(97, 192, 119, 185)(98, 193, 269, 181)(103, 188, 159, 201)(105, 202, 279, 203)(106, 204, 151, 205)(111, 187, 274, 214)(113, 209, 144, 216)(116, 217, 255, 168)(123, 197, 261, 224)(129, 189, 258, 230)(130, 231, 289, 227)(131, 200, 257, 233)(133, 234, 164, 235)(134, 195, 254, 236)(143, 186, 272, 239)(149, 242, 267, 240)(150, 245, 292, 238)(153, 170, 256, 237)(154, 241, 291, 226)(157, 248, 293, 246)(160, 208, 283, 218)(162, 250, 284, 251)(174, 253, 210, 262)(176, 263, 296, 264)(182, 252, 295, 270)(196, 278, 249, 276)(199, 280, 215, 281)(211, 266, 299, 273)(213, 285, 300, 286)(221, 277, 244, 288)(223, 290, 294, 268)(228, 260, 297, 271)(247, 287, 298, 282)(301, 302, 306, 304)(303, 309, 323, 311)(305, 314, 334, 315)(307, 318, 343, 320)(308, 321, 349, 322)(310, 326, 359, 327)(312, 330, 368, 332)(313, 333, 356, 324)(316, 338, 384, 340)(317, 341, 390, 342)(319, 345, 398, 346)(325, 357, 423, 358)(328, 364, 435, 366)(329, 367, 429, 360)(331, 370, 445, 371)(335, 363, 434, 379)(336, 380, 462, 381)(337, 382, 464, 383)(339, 386, 470, 387)(344, 396, 489, 397)(347, 403, 365, 405)(348, 406, 495, 399)(350, 402, 500, 410)(351, 411, 513, 412)(352, 413, 515, 414)(353, 415, 479, 416)(354, 417, 518, 418)(355, 419, 521, 420)(361, 392, 482, 430)(362, 431, 532, 433)(369, 443, 533, 444)(372, 449, 475, 450)(373, 451, 524, 446)(374, 448, 530, 453)(375, 454, 496, 400)(376, 455, 498, 457)(377, 424, 466, 458)(378, 459, 549, 460)(385, 468, 554, 469)(388, 474, 404, 476)(389, 477, 557, 471)(391, 473, 561, 481)(393, 483, 571, 484)(394, 485, 422, 486)(395, 487, 573, 488)(401, 497, 579, 499)(407, 506, 559, 508)(408, 490, 441, 509)(409, 510, 584, 511)(421, 494, 432, 523)(425, 526, 563, 503)(426, 504, 562, 512)(427, 527, 583, 528)(428, 529, 566, 478)(436, 537, 465, 505)(437, 538, 555, 514)(438, 539, 570, 502)(439, 501, 461, 516)(440, 540, 569, 492)(442, 541, 593, 542)(447, 536, 592, 544)(452, 520, 589, 546)(456, 531, 572, 547)(463, 545, 564, 491)(467, 552, 594, 553)(472, 558, 596, 560)(480, 567, 600, 568)(493, 576, 599, 577)(507, 578, 525, 582)(517, 587, 522, 585)(519, 580, 595, 588)(534, 574, 597, 591)(535, 556, 551, 590)(543, 586, 548, 581)(550, 575, 598, 565)
	L = (1, 301)(2, 302)(3, 303)(4, 304)(5, 305)(6, 306)(7, 307)(8, 308)(9, 309)(10, 310)(11, 311)(12, 312)(13, 313)(14, 314)(15, 315)(16, 316)(17, 317)(18, 318)(19, 319)(20, 320)(21, 321)(22, 322)(23, 323)(24, 324)(25, 325)(26, 326)(27, 327)(28, 328)(29, 329)(30, 330)(31, 331)(32, 332)(33, 333)(34, 334)(35, 335)(36, 336)(37, 337)(38, 338)(39, 339)(40, 340)(41, 341)(42, 342)(43, 343)(44, 344)(45, 345)(46, 346)(47, 347)(48, 348)(49, 349)(50, 350)(51, 351)(52, 352)(53, 353)(54, 354)(55, 355)(56, 356)(57, 357)(58, 358)(59, 359)(60, 360)(61, 361)(62, 362)(63, 363)(64, 364)(65, 365)(66, 366)(67, 367)(68, 368)(69, 369)(70, 370)(71, 371)(72, 372)(73, 373)(74, 374)(75, 375)(76, 376)(77, 377)(78, 378)(79, 379)(80, 380)(81, 381)(82, 382)(83, 383)(84, 384)(85, 385)(86, 386)(87, 387)(88, 388)(89, 389)(90, 390)(91, 391)(92, 392)(93, 393)(94, 394)(95, 395)(96, 396)(97, 397)(98, 398)(99, 399)(100, 400)(101, 401)(102, 402)(103, 403)(104, 404)(105, 405)(106, 406)(107, 407)(108, 408)(109, 409)(110, 410)(111, 411)(112, 412)(113, 413)(114, 414)(115, 415)(116, 416)(117, 417)(118, 418)(119, 419)(120, 420)(121, 421)(122, 422)(123, 423)(124, 424)(125, 425)(126, 426)(127, 427)(128, 428)(129, 429)(130, 430)(131, 431)(132, 432)(133, 433)(134, 434)(135, 435)(136, 436)(137, 437)(138, 438)(139, 439)(140, 440)(141, 441)(142, 442)(143, 443)(144, 444)(145, 445)(146, 446)(147, 447)(148, 448)(149, 449)(150, 450)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)
	local type(s) :: { ( 6^4 ) }
Outer automorphisms :: reflexible
Dual of E26.1493
Transitivity :: ET+ VT AT
Graph:: simple bipartite
	v = 150 e = 300 f = 100
	degree seq :: [ 4^150 ]

E26.1493 :: Family: { 2ex } :: Oriented family(ies): { E3*c }
Signature :: (0; {3, 4, 4})
Quotient :: edge
Aut^+ = ((C5 x C5) : C3) : C4 (small group id <300, 23>)
Aut   = $<600, 151>$ (small group id <600, 151>)
|r| :: 2
Presentation :: [ F^2, T2^3, T1^4, (F * T2)^2, F * T1 * T2 * F * T1^-1, (T1 * T2^-1)^4, (T2^-1 * T1^-1)^4, T2 * T1^-2 * T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2 * T1^-1, T1^2 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1 * T2^-1, T2^-1 * T1^-1 * T2 * T1^-2 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-1, F * T1^-1 * T2^-1 * T1 * F * T1^-1 * T2 * T1^2 * T2 * T1^-1, (T1^-1, T2^-1)^3, T1^-2 * T2 * T1 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2 * T1 * T2 ]
Map:: polyhedral non-degenerate
	R = (1, 301, 3, 303, 5, 305)(2, 302, 7, 307, 8, 308)(4, 304, 11, 311, 12, 312)(6, 306, 15, 315, 16, 316)(9, 309, 22, 322, 23, 323)(10, 310, 24, 324, 25, 325)(13, 313, 31, 331, 32, 332)(14, 314, 33, 333, 34, 334)(17, 317, 40, 340, 41, 341)(18, 318, 42, 342, 43, 343)(19, 319, 45, 345, 46, 346)(20, 320, 47, 347, 48, 348)(21, 321, 49, 349, 50, 350)(26, 326, 59, 359, 60, 360)(27, 327, 61, 361, 62, 362)(28, 328, 64, 364, 65, 365)(29, 329, 66, 366, 51, 351)(30, 330, 67, 367, 68, 368)(35, 335, 76, 376, 77, 377)(36, 336, 78, 378, 79, 379)(37, 337, 81, 381, 82, 382)(38, 338, 83, 383, 84, 384)(39, 339, 85, 385, 86, 386)(44, 344, 93, 393, 94, 394)(52, 352, 106, 406, 107, 407)(53, 353, 109, 409, 73, 373)(54, 354, 110, 410, 111, 411)(55, 355, 112, 412, 113, 413)(56, 356, 115, 415, 116, 416)(57, 357, 117, 417, 69, 369)(58, 358, 118, 418, 119, 419)(63, 363, 126, 426, 127, 427)(70, 370, 138, 438, 139, 439)(71, 371, 140, 440, 141, 441)(72, 372, 143, 443, 144, 444)(74, 374, 145, 445, 146, 446)(75, 375, 147, 447, 148, 448)(80, 380, 154, 454, 155, 455)(87, 387, 164, 464, 165, 465)(88, 388, 103, 403, 99, 399)(89, 389, 166, 466, 167, 467)(90, 390, 168, 468, 169, 469)(91, 391, 171, 471, 172, 472)(92, 392, 130, 430, 95, 395)(96, 396, 142, 442, 177, 477)(97, 397, 128, 428, 125, 425)(98, 398, 179, 479, 180, 480)(100, 400, 102, 402, 181, 481)(101, 401, 183, 483, 184, 484)(104, 404, 186, 486, 187, 487)(105, 405, 188, 488, 189, 489)(108, 408, 192, 492, 120, 420)(114, 414, 198, 498, 199, 499)(121, 421, 205, 505, 132, 432)(122, 422, 200, 500, 206, 506)(123, 423, 207, 507, 196, 496)(124, 424, 209, 509, 210, 510)(129, 429, 216, 516, 217, 517)(131, 431, 135, 435, 194, 494)(133, 433, 219, 519, 220, 520)(134, 434, 221, 521, 195, 495)(136, 436, 223, 523, 224, 524)(137, 437, 225, 525, 226, 526)(149, 449, 204, 504, 231, 531)(150, 450, 162, 462, 158, 458)(151, 451, 232, 532, 233, 533)(152, 452, 234, 534, 235, 535)(153, 453, 236, 536, 237, 537)(156, 456, 178, 478, 240, 540)(157, 457, 213, 513, 241, 541)(159, 459, 161, 461, 242, 542)(160, 460, 244, 544, 218, 518)(163, 463, 246, 546, 247, 547)(170, 470, 252, 552, 211, 511)(173, 473, 208, 508, 255, 555)(174, 474, 256, 556, 250, 550)(175, 475, 257, 557, 258, 558)(176, 476, 259, 559, 260, 560)(182, 482, 261, 561, 251, 551)(185, 485, 249, 549, 253, 553)(190, 490, 227, 527, 268, 568)(191, 491, 201, 501, 193, 493)(197, 497, 228, 528, 270, 570)(202, 502, 262, 562, 273, 573)(203, 503, 274, 574, 275, 575)(212, 512, 266, 566, 263, 563)(214, 514, 279, 579, 222, 522)(215, 515, 280, 580, 248, 548)(229, 529, 283, 583, 254, 554)(230, 530, 284, 584, 285, 585)(238, 538, 290, 590, 287, 587)(239, 539, 291, 591, 278, 578)(243, 543, 292, 592, 288, 588)(245, 545, 286, 586, 289, 589)(264, 564, 265, 565, 298, 598)(267, 567, 299, 599, 271, 571)(269, 569, 277, 577, 276, 576)(272, 572, 282, 582, 281, 581)(293, 593, 300, 600, 294, 594)(295, 595, 297, 597, 296, 596)
	L = (1, 302)(2, 306)(3, 309)(4, 301)(5, 313)(6, 304)(7, 317)(8, 319)(9, 321)(10, 303)(11, 326)(12, 328)(13, 330)(14, 305)(15, 335)(16, 337)(17, 339)(18, 307)(19, 344)(20, 308)(21, 310)(22, 351)(23, 353)(24, 355)(25, 356)(26, 358)(27, 311)(28, 363)(29, 312)(30, 314)(31, 369)(32, 361)(33, 372)(34, 374)(35, 375)(36, 315)(37, 380)(38, 316)(39, 318)(40, 334)(41, 388)(42, 390)(43, 391)(44, 320)(45, 395)(46, 324)(47, 398)(48, 400)(49, 401)(50, 403)(51, 405)(52, 322)(53, 408)(54, 323)(55, 397)(56, 414)(57, 325)(58, 327)(59, 384)(60, 421)(61, 423)(62, 424)(63, 329)(64, 428)(65, 378)(66, 431)(67, 433)(68, 435)(69, 437)(70, 331)(71, 332)(72, 442)(73, 333)(74, 387)(75, 336)(76, 348)(77, 450)(78, 452)(79, 453)(80, 338)(81, 440)(82, 342)(83, 457)(84, 459)(85, 460)(86, 462)(87, 340)(88, 406)(89, 341)(90, 417)(91, 470)(92, 343)(93, 473)(94, 443)(95, 476)(96, 345)(97, 346)(98, 478)(99, 347)(100, 449)(101, 482)(102, 349)(103, 485)(104, 350)(105, 352)(106, 389)(107, 490)(108, 354)(109, 493)(110, 471)(111, 495)(112, 487)(113, 468)(114, 357)(115, 477)(116, 481)(117, 382)(118, 502)(119, 409)(120, 359)(121, 504)(122, 360)(123, 371)(124, 508)(125, 362)(126, 511)(127, 513)(128, 515)(129, 364)(130, 365)(131, 438)(132, 366)(133, 518)(134, 367)(135, 522)(136, 368)(137, 370)(138, 432)(139, 480)(140, 527)(141, 379)(142, 373)(143, 524)(144, 466)(145, 418)(146, 521)(147, 529)(148, 505)(149, 376)(150, 464)(151, 377)(152, 430)(153, 519)(154, 499)(155, 479)(156, 381)(157, 516)(158, 383)(159, 420)(160, 543)(161, 385)(162, 545)(163, 386)(164, 451)(165, 548)(166, 536)(167, 550)(168, 547)(169, 534)(170, 392)(171, 540)(172, 542)(173, 554)(174, 393)(175, 394)(176, 396)(177, 541)(178, 399)(179, 558)(180, 532)(181, 556)(182, 402)(183, 411)(184, 512)(185, 404)(186, 562)(187, 564)(188, 447)(189, 566)(190, 567)(191, 407)(192, 560)(193, 503)(194, 410)(195, 546)(196, 412)(197, 413)(198, 571)(199, 573)(200, 415)(201, 416)(202, 528)(203, 419)(204, 422)(205, 576)(206, 563)(207, 575)(208, 425)(209, 439)(210, 446)(211, 484)(212, 426)(213, 578)(214, 427)(215, 429)(216, 458)(217, 444)(218, 434)(219, 441)(220, 572)(221, 577)(222, 436)(223, 580)(224, 475)(225, 561)(226, 582)(227, 456)(228, 445)(229, 565)(230, 448)(231, 526)(232, 509)(233, 587)(234, 585)(235, 507)(236, 517)(237, 489)(238, 454)(239, 455)(240, 494)(241, 500)(242, 590)(243, 461)(244, 467)(245, 463)(246, 483)(247, 497)(248, 593)(249, 465)(250, 584)(251, 469)(252, 594)(253, 472)(254, 474)(255, 595)(256, 501)(257, 525)(258, 539)(259, 592)(260, 597)(261, 596)(262, 506)(263, 486)(264, 496)(265, 488)(266, 589)(267, 491)(268, 598)(269, 492)(270, 581)(271, 520)(272, 498)(273, 538)(274, 583)(275, 588)(276, 530)(277, 510)(278, 514)(279, 568)(280, 570)(281, 523)(282, 586)(283, 533)(284, 544)(285, 551)(286, 531)(287, 574)(288, 535)(289, 537)(290, 553)(291, 559)(292, 599)(293, 549)(294, 555)(295, 552)(296, 557)(297, 569)(298, 600)(299, 591)(300, 579)
	local type(s) :: { ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E26.1492
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 100 e = 300 f = 150
	degree seq :: [ 6^100 ]

E26.1494 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 4, 4})
Quotient :: edge^2
Aut^+ = ((C5 x C5) : C3) : C4 (small group id <300, 23>)
Aut   = $<600, 151>$ (small group id <600, 151>)
|r| :: 2
Presentation :: [ Y3, R^2, Y1^4, (R * Y3)^2, Y2^4, R * Y1 * R * Y2, (Y1^-1 * Y2^-1)^3, (Y1^-1 * Y2^-1)^3, (Y1^-1 * Y3^-1 * Y2^-1)^3, Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y1^2 * Y2^-2 * Y1, (Y2^-1, Y1^-1)^3, Y2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^2 * Y1^-1 * Y2, Y2 * Y1^-2 * Y2 * Y1^2 * Y2 * Y1^-2 * Y2 * Y1^-2, Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1, (Y2 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 301)(2, 302)(3, 303)(4, 304)(5, 305)(6, 306)(7, 307)(8, 308)(9, 309)(10, 310)(11, 311)(12, 312)(13, 313)(14, 314)(15, 315)(16, 316)(17, 317)(18, 318)(19, 319)(20, 320)(21, 321)(22, 322)(23, 323)(24, 324)(25, 325)(26, 326)(27, 327)(28, 328)(29, 329)(30, 330)(31, 331)(32, 332)(33, 333)(34, 334)(35, 335)(36, 336)(37, 337)(38, 338)(39, 339)(40, 340)(41, 341)(42, 342)(43, 343)(44, 344)(45, 345)(46, 346)(47, 347)(48, 348)(49, 349)(50, 350)(51, 351)(52, 352)(53, 353)(54, 354)(55, 355)(56, 356)(57, 357)(58, 358)(59, 359)(60, 360)(61, 361)(62, 362)(63, 363)(64, 364)(65, 365)(66, 366)(67, 367)(68, 368)(69, 369)(70, 370)(71, 371)(72, 372)(73, 373)(74, 374)(75, 375)(76, 376)(77, 377)(78, 378)(79, 379)(80, 380)(81, 381)(82, 382)(83, 383)(84, 384)(85, 385)(86, 386)(87, 387)(88, 388)(89, 389)(90, 390)(91, 391)(92, 392)(93, 393)(94, 394)(95, 395)(96, 396)(97, 397)(98, 398)(99, 399)(100, 400)(101, 401)(102, 402)(103, 403)(104, 404)(105, 405)(106, 406)(107, 407)(108, 408)(109, 409)(110, 410)(111, 411)(112, 412)(113, 413)(114, 414)(115, 415)(116, 416)(117, 417)(118, 418)(119, 419)(120, 420)(121, 421)(122, 422)(123, 423)(124, 424)(125, 425)(126, 426)(127, 427)(128, 428)(129, 429)(130, 430)(131, 431)(132, 432)(133, 433)(134, 434)(135, 435)(136, 436)(137, 437)(138, 438)(139, 439)(140, 440)(141, 441)(142, 442)(143, 443)(144, 444)(145, 445)(146, 446)(147, 447)(148, 448)(149, 449)(150, 450)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)(601, 602, 606, 604)(603, 609, 623, 611)(605, 614, 634, 615)(607, 618, 643, 620)(608, 621, 649, 622)(610, 626, 659, 627)(612, 630, 668, 632)(613, 633, 656, 624)(616, 638, 684, 640)(617, 641, 690, 642)(619, 645, 698, 646)(625, 657, 723, 658)(628, 664, 735, 666)(629, 667, 729, 660)(631, 670, 745, 671)(635, 663, 734, 679)(636, 680, 762, 681)(637, 682, 764, 683)(639, 686, 770, 687)(644, 696, 789, 697)(647, 703, 665, 705)(648, 706, 795, 699)(650, 702, 800, 710)(651, 711, 813, 712)(652, 713, 815, 714)(653, 715, 779, 716)(654, 717, 818, 718)(655, 719, 821, 720)(661, 692, 782, 730)(662, 731, 832, 733)(669, 743, 833, 744)(672, 749, 775, 750)(673, 751, 824, 746)(674, 748, 830, 753)(675, 754, 796, 700)(676, 755, 798, 757)(677, 724, 766, 758)(678, 759, 849, 760)(685, 768, 854, 769)(688, 774, 704, 776)(689, 777, 857, 771)(691, 773, 861, 781)(693, 783, 871, 784)(694, 785, 722, 786)(695, 787, 873, 788)(701, 797, 879, 799)(707, 806, 859, 808)(708, 790, 741, 809)(709, 810, 884, 811)(721, 794, 732, 823)(725, 826, 863, 803)(726, 804, 862, 812)(727, 827, 883, 828)(728, 829, 866, 778)(736, 837, 765, 805)(737, 838, 855, 814)(738, 839, 870, 802)(739, 801, 761, 816)(740, 840, 869, 792)(742, 841, 893, 842)(747, 836, 892, 844)(752, 820, 889, 846)(756, 831, 872, 847)(763, 845, 864, 791)(767, 852, 894, 853)(772, 858, 896, 860)(780, 867, 900, 868)(793, 876, 899, 877)(807, 878, 825, 882)(817, 887, 822, 885)(819, 880, 895, 888)(834, 874, 897, 891)(835, 856, 851, 890)(843, 886, 848, 881)(850, 875, 898, 865)(901, 903, 910, 905)(902, 907, 919, 908)(904, 912, 931, 913)(906, 916, 939, 917)(909, 924, 955, 925)(911, 928, 965, 929)(914, 935, 978, 936)(915, 937, 944, 918)(920, 947, 1004, 948)(921, 950, 1009, 951)(922, 952, 985, 938)(923, 953, 1014, 954)(926, 960, 1028, 961)(927, 962, 1032, 963)(930, 942, 993, 969)(932, 972, 1035, 973)(933, 974, 1052, 975)(934, 976, 1056, 977)(940, 988, 1075, 989)(941, 991, 1080, 992)(943, 994, 1084, 995)(945, 999, 1094, 1000)(946, 1001, 1098, 1002)(949, 1007, 1107, 1008)(956, 1021, 1122, 1022)(957, 1024, 1125, 1025)(958, 1026, 1083, 1015)(959, 1027, 1112, 1010)(964, 1018, 1120, 1036)(966, 1037, 1132, 1038)(967, 1039, 1077, 1040)(968, 1041, 983, 1042)(970, 1046, 1106, 1012)(971, 1047, 1129, 1048)(979, 1045, 1143, 1061)(980, 1017, 1119, 1063)(981, 986, 1071, 1055)(982, 1058, 1069, 1065)(984, 1066, 1020, 1067)(987, 1072, 1159, 1073)(990, 1078, 1165, 1079)(996, 1090, 1175, 1091)(997, 1092, 1019, 1085)(998, 1093, 1169, 1081)(1003, 1088, 1059, 1101)(1005, 1102, 1179, 1103)(1006, 1104, 1051, 1105)(1011, 1087, 1174, 1114)(1013, 1109, 1044, 1116)(1016, 1117, 1155, 1068)(1023, 1097, 1161, 1124)(1029, 1089, 1158, 1130)(1030, 1131, 1189, 1127)(1031, 1100, 1157, 1133)(1033, 1134, 1064, 1135)(1034, 1095, 1154, 1136)(1043, 1086, 1172, 1139)(1049, 1142, 1167, 1140)(1050, 1145, 1192, 1138)(1053, 1070, 1156, 1137)(1054, 1141, 1191, 1126)(1057, 1148, 1193, 1146)(1060, 1108, 1183, 1118)(1062, 1150, 1184, 1151)(1074, 1153, 1110, 1162)(1076, 1163, 1196, 1164)(1082, 1152, 1195, 1170)(1096, 1178, 1149, 1176)(1099, 1180, 1115, 1181)(1111, 1166, 1199, 1173)(1113, 1185, 1200, 1186)(1121, 1177, 1144, 1188)(1123, 1190, 1194, 1168)(1128, 1160, 1197, 1171)(1147, 1187, 1198, 1182)
	L = (1, 601)(2, 602)(3, 603)(4, 604)(5, 605)(6, 606)(7, 607)(8, 608)(9, 609)(10, 610)(11, 611)(12, 612)(13, 613)(14, 614)(15, 615)(16, 616)(17, 617)(18, 618)(19, 619)(20, 620)(21, 621)(22, 622)(23, 623)(24, 624)(25, 625)(26, 626)(27, 627)(28, 628)(29, 629)(30, 630)(31, 631)(32, 632)(33, 633)(34, 634)(35, 635)(36, 636)(37, 637)(38, 638)(39, 639)(40, 640)(41, 641)(42, 642)(43, 643)(44, 644)(45, 645)(46, 646)(47, 647)(48, 648)(49, 649)(50, 650)(51, 651)(52, 652)(53, 653)(54, 654)(55, 655)(56, 656)(57, 657)(58, 658)(59, 659)(60, 660)(61, 661)(62, 662)(63, 663)(64, 664)(65, 665)(66, 666)(67, 667)(68, 668)(69, 669)(70, 670)(71, 671)(72, 672)(73, 673)(74, 674)(75, 675)(76, 676)(77, 677)(78, 678)(79, 679)(80, 680)(81, 681)(82, 682)(83, 683)(84, 684)(85, 685)(86, 686)(87, 687)(88, 688)(89, 689)(90, 690)(91, 691)(92, 692)(93, 693)(94, 694)(95, 695)(96, 696)(97, 697)(98, 698)(99, 699)(100, 700)(101, 701)(102, 702)(103, 703)(104, 704)(105, 705)(106, 706)(107, 707)(108, 708)(109, 709)(110, 710)(111, 711)(112, 712)(113, 713)(114, 714)(115, 715)(116, 716)(117, 717)(118, 718)(119, 719)(120, 720)(121, 721)(122, 722)(123, 723)(124, 724)(125, 725)(126, 726)(127, 727)(128, 728)(129, 729)(130, 730)(131, 731)(132, 732)(133, 733)(134, 734)(135, 735)(136, 736)(137, 737)(138, 738)(139, 739)(140, 740)(141, 741)(142, 742)(143, 743)(144, 744)(145, 745)(146, 746)(147, 747)(148, 748)(149, 749)(150, 750)(151, 751)(152, 752)(153, 753)(154, 754)(155, 755)(156, 756)(157, 757)(158, 758)(159, 759)(160, 760)(161, 761)(162, 762)(163, 763)(164, 764)(165, 765)(166, 766)(167, 767)(168, 768)(169, 769)(170, 770)(171, 771)(172, 772)(173, 773)(174, 774)(175, 775)(176, 776)(177, 777)(178, 778)(179, 779)(180, 780)(181, 781)(182, 782)(183, 783)(184, 784)(185, 785)(186, 786)(187, 787)(188, 788)(189, 789)(190, 790)(191, 791)(192, 792)(193, 793)(194, 794)(195, 795)(196, 796)(197, 797)(198, 798)(199, 799)(200, 800)(201, 801)(202, 802)(203, 803)(204, 804)(205, 805)(206, 806)(207, 807)(208, 808)(209, 809)(210, 810)(211, 811)(212, 812)(213, 813)(214, 814)(215, 815)(216, 816)(217, 817)(218, 818)(219, 819)(220, 820)(221, 821)(222, 822)(223, 823)(224, 824)(225, 825)(226, 826)(227, 827)(228, 828)(229, 829)(230, 830)(231, 831)(232, 832)(233, 833)(234, 834)(235, 835)(236, 836)(237, 837)(238, 838)(239, 839)(240, 840)(241, 841)(242, 842)(243, 843)(244, 844)(245, 845)(246, 846)(247, 847)(248, 848)(249, 849)(250, 850)(251, 851)(252, 852)(253, 853)(254, 854)(255, 855)(256, 856)(257, 857)(258, 858)(259, 859)(260, 860)(261, 861)(262, 862)(263, 863)(264, 864)(265, 865)(266, 866)(267, 867)(268, 868)(269, 869)(270, 870)(271, 871)(272, 872)(273, 873)(274, 874)(275, 875)(276, 876)(277, 877)(278, 878)(279, 879)(280, 880)(281, 881)(282, 882)(283, 883)(284, 884)(285, 885)(286, 886)(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, 905)(306, 906)(307, 907)(308, 908)(309, 909)(310, 910)(311, 911)(312, 912)(313, 913)(314, 914)(315, 915)(316, 916)(317, 917)(318, 918)(319, 919)(320, 920)(321, 921)(322, 922)(323, 923)(324, 924)(325, 925)(326, 926)(327, 927)(328, 928)(329, 929)(330, 930)(331, 931)(332, 932)(333, 933)(334, 934)(335, 935)(336, 936)(337, 937)(338, 938)(339, 939)(340, 940)(341, 941)(342, 942)(343, 943)(344, 944)(345, 945)(346, 946)(347, 947)(348, 948)(349, 949)(350, 950)(351, 951)(352, 952)(353, 953)(354, 954)(355, 955)(356, 956)(357, 957)(358, 958)(359, 959)(360, 960)(361, 961)(362, 962)(363, 963)(364, 964)(365, 965)(366, 966)(367, 967)(368, 968)(369, 969)(370, 970)(371, 971)(372, 972)(373, 973)(374, 974)(375, 975)(376, 976)(377, 977)(378, 978)(379, 979)(380, 980)(381, 981)(382, 982)(383, 983)(384, 984)(385, 985)(386, 986)(387, 987)(388, 988)(389, 989)(390, 990)(391, 991)(392, 992)(393, 993)(394, 994)(395, 995)(396, 996)(397, 997)(398, 998)(399, 999)(400, 1000)(401, 1001)(402, 1002)(403, 1003)(404, 1004)(405, 1005)(406, 1006)(407, 1007)(408, 1008)(409, 1009)(410, 1010)(411, 1011)(412, 1012)(413, 1013)(414, 1014)(415, 1015)(416, 1016)(417, 1017)(418, 1018)(419, 1019)(420, 1020)(421, 1021)(422, 1022)(423, 1023)(424, 1024)(425, 1025)(426, 1026)(427, 1027)(428, 1028)(429, 1029)(430, 1030)(431, 1031)(432, 1032)(433, 1033)(434, 1034)(435, 1035)(436, 1036)(437, 1037)(438, 1038)(439, 1039)(440, 1040)(441, 1041)(442, 1042)(443, 1043)(444, 1044)(445, 1045)(446, 1046)(447, 1047)(448, 1048)(449, 1049)(450, 1050)(451, 1051)(452, 1052)(453, 1053)(454, 1054)(455, 1055)(456, 1056)(457, 1057)(458, 1058)(459, 1059)(460, 1060)(461, 1061)(462, 1062)(463, 1063)(464, 1064)(465, 1065)(466, 1066)(467, 1067)(468, 1068)(469, 1069)(470, 1070)(471, 1071)(472, 1072)(473, 1073)(474, 1074)(475, 1075)(476, 1076)(477, 1077)(478, 1078)(479, 1079)(480, 1080)(481, 1081)(482, 1082)(483, 1083)(484, 1084)(485, 1085)(486, 1086)(487, 1087)(488, 1088)(489, 1089)(490, 1090)(491, 1091)(492, 1092)(493, 1093)(494, 1094)(495, 1095)(496, 1096)(497, 1097)(498, 1098)(499, 1099)(500, 1100)(501, 1101)(502, 1102)(503, 1103)(504, 1104)(505, 1105)(506, 1106)(507, 1107)(508, 1108)(509, 1109)(510, 1110)(511, 1111)(512, 1112)(513, 1113)(514, 1114)(515, 1115)(516, 1116)(517, 1117)(518, 1118)(519, 1119)(520, 1120)(521, 1121)(522, 1122)(523, 1123)(524, 1124)(525, 1125)(526, 1126)(527, 1127)(528, 1128)(529, 1129)(530, 1130)(531, 1131)(532, 1132)(533, 1133)(534, 1134)(535, 1135)(536, 1136)(537, 1137)(538, 1138)(539, 1139)(540, 1140)(541, 1141)(542, 1142)(543, 1143)(544, 1144)(545, 1145)(546, 1146)(547, 1147)(548, 1148)(549, 1149)(550, 1150)(551, 1151)(552, 1152)(553, 1153)(554, 1154)(555, 1155)(556, 1156)(557, 1157)(558, 1158)(559, 1159)(560, 1160)(561, 1161)(562, 1162)(563, 1163)(564, 1164)(565, 1165)(566, 1166)(567, 1167)(568, 1168)(569, 1169)(570, 1170)(571, 1171)(572, 1172)(573, 1173)(574, 1174)(575, 1175)(576, 1176)(577, 1177)(578, 1178)(579, 1179)(580, 1180)(581, 1181)(582, 1182)(583, 1183)(584, 1184)(585, 1185)(586, 1186)(587, 1187)(588, 1188)(589, 1189)(590, 1190)(591, 1191)(592, 1192)(593, 1193)(594, 1194)(595, 1195)(596, 1196)(597, 1197)(598, 1198)(599, 1199)(600, 1200)
	local type(s) :: { ( 12, 12 ), ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E26.1497
Graph:: simple bipartite
	v = 450 e = 600 f = 100
	degree seq :: [ 2^300, 4^150 ]

E26.1495 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 4, 4})
Quotient :: edge^2
Aut^+ = ((C5 x C5) : C3) : C4 (small group id <300, 23>)
Aut   = $<600, 151>$ (small group id <600, 151>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1 * Y2, Y3^3, Y2^4, Y1^4, (R * Y3)^2, Y2^4, R * Y1 * R * Y2, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y3^-1, (Y2 * Y3^-1)^4, Y2 * Y1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2 * Y1 * Y3^-1, Y3 * Y2 * Y1 * Y2^-2 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, (Y2 * Y1 * Y3)^3, Y2^2 * Y1 * Y3^-1 * Y2^2 * Y1 * Y3 * Y2 * Y1^-1, Y3^-1 * Y1^-1 * Y2 * Y1^-2 * Y2^-1 * Y3 * Y1^-2 * Y2^-1, Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 301, 4, 304, 7, 307)(2, 302, 9, 309, 11, 311)(3, 303, 5, 305, 15, 315)(6, 306, 22, 322, 23, 323)(8, 308, 26, 326, 19, 319)(10, 310, 32, 332, 33, 333)(12, 312, 37, 337, 39, 339)(13, 313, 14, 314, 41, 341)(16, 316, 17, 317, 49, 349)(18, 318, 53, 353, 54, 354)(20, 320, 59, 359, 60, 360)(21, 321, 61, 361, 50, 350)(24, 324, 25, 325, 69, 369)(27, 327, 75, 375, 76, 376)(28, 328, 29, 329, 80, 380)(30, 330, 84, 384, 85, 385)(31, 331, 86, 386, 81, 381)(34, 334, 35, 335, 94, 394)(36, 336, 97, 397, 42, 342)(38, 338, 103, 403, 104, 404)(40, 340, 106, 406, 108, 408)(43, 343, 115, 415, 116, 416)(44, 344, 45, 345, 118, 418)(46, 346, 122, 422, 124, 424)(47, 347, 48, 348, 126, 426)(51, 351, 132, 432, 133, 433)(52, 352, 134, 434, 70, 370)(55, 355, 141, 441, 128, 428)(56, 356, 57, 357, 144, 444)(58, 358, 147, 447, 119, 419)(62, 362, 156, 456, 157, 457)(63, 363, 64, 364, 161, 461)(65, 365, 163, 463, 164, 464)(66, 366, 67, 367, 166, 466)(68, 368, 168, 468, 169, 469)(71, 371, 173, 473, 174, 474)(72, 372, 73, 373, 101, 401)(74, 374, 107, 407, 176, 476)(77, 377, 167, 467, 186, 486)(78, 378, 79, 379, 105, 405)(82, 382, 191, 491, 192, 492)(83, 383, 193, 493, 95, 395)(87, 387, 198, 498, 199, 499)(88, 388, 89, 389, 203, 503)(90, 390, 129, 429, 204, 504)(91, 391, 92, 392, 206, 506)(93, 393, 154, 454, 208, 508)(96, 396, 212, 512, 213, 513)(98, 398, 184, 484, 216, 516)(99, 399, 100, 400, 217, 517)(102, 402, 219, 519, 200, 500)(109, 409, 110, 410, 151, 451)(111, 411, 230, 530, 146, 446)(112, 412, 113, 413, 232, 532)(114, 414, 136, 436, 137, 437)(117, 417, 235, 535, 236, 536)(120, 420, 239, 539, 240, 540)(121, 421, 241, 541, 127, 427)(123, 423, 195, 495, 172, 472)(125, 425, 244, 544, 246, 546)(130, 430, 131, 431, 249, 549)(135, 435, 254, 554, 255, 555)(138, 438, 139, 439, 142, 442)(140, 440, 248, 548, 145, 445)(143, 443, 196, 496, 258, 558)(148, 448, 251, 551, 247, 547)(149, 449, 150, 450, 162, 462)(152, 452, 153, 453, 231, 531)(155, 455, 245, 545, 263, 563)(158, 458, 256, 556, 234, 534)(159, 459, 160, 460, 243, 543)(165, 465, 253, 553, 268, 568)(170, 470, 171, 471, 269, 569)(175, 475, 207, 507, 226, 526)(177, 477, 272, 572, 222, 522)(178, 478, 273, 573, 274, 574)(179, 479, 180, 480, 228, 528)(181, 481, 188, 488, 218, 518)(182, 482, 183, 483, 278, 578)(185, 485, 257, 557, 211, 511)(187, 487, 280, 580, 261, 561)(189, 489, 190, 490, 266, 566)(194, 494, 221, 521, 284, 584)(197, 497, 281, 581, 285, 585)(201, 501, 202, 502, 250, 550)(205, 505, 283, 583, 264, 564)(209, 509, 210, 510, 290, 590)(214, 514, 215, 515, 225, 525)(220, 520, 252, 552, 260, 560)(223, 523, 224, 524, 293, 593)(227, 527, 262, 562, 295, 595)(229, 529, 259, 559, 233, 533)(237, 537, 238, 538, 296, 596)(242, 542, 267, 567, 287, 587)(265, 565, 291, 591, 300, 600)(270, 570, 271, 571, 288, 588)(275, 575, 276, 576, 282, 582)(277, 577, 299, 599, 286, 586)(279, 579, 289, 589, 294, 594)(292, 592, 297, 597, 298, 598)(601, 602, 608, 605)(603, 612, 636, 614)(604, 606, 621, 617)(607, 618, 652, 625)(609, 610, 631, 629)(611, 630, 683, 635)(613, 640, 664, 622)(615, 620, 658, 645)(616, 646, 721, 648)(619, 655, 740, 657)(623, 665, 762, 667)(624, 668, 689, 632)(626, 627, 674, 673)(628, 677, 784, 679)(633, 690, 761, 692)(634, 693, 780, 675)(637, 638, 702, 700)(639, 701, 777, 705)(641, 643, 714, 710)(642, 711, 829, 713)(644, 717, 821, 703)(647, 725, 737, 653)(649, 651, 704, 685)(650, 729, 801, 731)(654, 718, 720, 739)(656, 743, 750, 659)(660, 751, 828, 753)(661, 662, 755, 754)(663, 758, 867, 760)(666, 765, 866, 756)(669, 671, 772, 764)(670, 715, 712, 771)(672, 775, 854, 738)(676, 781, 803, 783)(678, 787, 795, 684)(680, 682, 726, 728)(681, 788, 875, 790)(686, 687, 797, 796)(688, 800, 889, 802)(691, 805, 888, 798)(694, 696, 811, 804)(695, 773, 770, 810)(697, 698, 757, 815)(699, 774, 806, 807)(706, 707, 778, 824)(708, 825, 882, 826)(709, 827, 871, 776)(716, 766, 767, 785)(719, 763, 759, 838)(722, 723, 830, 831)(724, 808, 864, 843)(727, 847, 899, 848)(730, 823, 840, 732)(733, 791, 789, 852)(734, 735, 799, 853)(736, 813, 878, 835)(741, 742, 856, 857)(744, 746, 817, 818)(745, 812, 809, 859)(747, 748, 860, 768)(749, 861, 900, 862)(752, 814, 849, 851)(769, 868, 895, 836)(779, 846, 898, 876)(782, 877, 896, 873)(786, 858, 886, 850)(792, 872, 870, 863)(793, 794, 874, 883)(816, 879, 884, 891)(819, 820, 892, 869)(822, 839, 837, 885)(832, 834, 893, 894)(833, 880, 881, 887)(841, 842, 855, 897)(844, 845, 865, 890)(901, 903, 913, 906)(902, 907, 924, 910)(904, 916, 947, 918)(905, 919, 956, 920)(908, 911, 934, 927)(909, 928, 978, 930)(912, 915, 944, 938)(914, 942, 1012, 943)(917, 950, 1030, 951)(921, 923, 966, 962)(922, 963, 1059, 965)(925, 970, 1070, 971)(926, 972, 1042, 955)(929, 981, 1089, 982)(931, 933, 991, 987)(932, 988, 1101, 990)(935, 995, 1109, 996)(936, 939, 979, 998)(937, 999, 1075, 1001)(940, 941, 1009, 1007)(945, 1019, 1137, 1020)(946, 949, 984, 1023)(948, 1027, 1040, 1028)(952, 954, 1038, 1035)(953, 1036, 1017, 1018)(957, 1045, 1129, 1046)(958, 960, 1052, 1048)(959, 1049, 1127, 1051)(961, 993, 994, 1029)(964, 1008, 1107, 992)(967, 1050, 1158, 1067)(968, 969, 1063, 1047)(973, 1076, 1170, 1077)(974, 976, 1082, 1078)(975, 1079, 1175, 1081)(977, 980, 1041, 1085)(983, 985, 1003, 1094)(986, 1043, 1044, 1088)(989, 1069, 1135, 1083)(997, 1114, 1131, 1011)(1000, 1100, 1103, 1118)(1002, 1004, 1033, 1120)(1005, 1122, 1181, 1087)(1006, 1123, 1149, 1125)(1010, 1037, 1146, 1128)(1013, 1133, 1167, 1134)(1014, 1016, 1111, 1113)(1015, 1034, 1065, 1066)(1021, 1024, 1060, 1142)(1022, 1053, 1080, 1108)(1025, 1026, 1092, 1145)(1031, 1150, 1199, 1151)(1032, 1139, 1172, 1091)(1039, 1140, 1193, 1156)(1054, 1163, 1188, 1164)(1055, 1057, 1116, 1165)(1056, 1090, 1182, 1115)(1058, 1061, 1104, 1157)(1062, 1064, 1095, 1161)(1068, 1152, 1166, 1168)(1071, 1132, 1189, 1119)(1072, 1074, 1117, 1130)(1073, 1093, 1105, 1106)(1084, 1086, 1102, 1179)(1096, 1185, 1196, 1186)(1097, 1099, 1155, 1187)(1098, 1171, 1195, 1153)(1110, 1169, 1198, 1144)(1112, 1148, 1177, 1178)(1121, 1136, 1162, 1191)(1124, 1174, 1184, 1194)(1126, 1176, 1197, 1154)(1138, 1143, 1183, 1173)(1141, 1192, 1160, 1147)(1159, 1190, 1200, 1180)
	L = (1, 601)(2, 602)(3, 603)(4, 604)(5, 605)(6, 606)(7, 607)(8, 608)(9, 609)(10, 610)(11, 611)(12, 612)(13, 613)(14, 614)(15, 615)(16, 616)(17, 617)(18, 618)(19, 619)(20, 620)(21, 621)(22, 622)(23, 623)(24, 624)(25, 625)(26, 626)(27, 627)(28, 628)(29, 629)(30, 630)(31, 631)(32, 632)(33, 633)(34, 634)(35, 635)(36, 636)(37, 637)(38, 638)(39, 639)(40, 640)(41, 641)(42, 642)(43, 643)(44, 644)(45, 645)(46, 646)(47, 647)(48, 648)(49, 649)(50, 650)(51, 651)(52, 652)(53, 653)(54, 654)(55, 655)(56, 656)(57, 657)(58, 658)(59, 659)(60, 660)(61, 661)(62, 662)(63, 663)(64, 664)(65, 665)(66, 666)(67, 667)(68, 668)(69, 669)(70, 670)(71, 671)(72, 672)(73, 673)(74, 674)(75, 675)(76, 676)(77, 677)(78, 678)(79, 679)(80, 680)(81, 681)(82, 682)(83, 683)(84, 684)(85, 685)(86, 686)(87, 687)(88, 688)(89, 689)(90, 690)(91, 691)(92, 692)(93, 693)(94, 694)(95, 695)(96, 696)(97, 697)(98, 698)(99, 699)(100, 700)(101, 701)(102, 702)(103, 703)(104, 704)(105, 705)(106, 706)(107, 707)(108, 708)(109, 709)(110, 710)(111, 711)(112, 712)(113, 713)(114, 714)(115, 715)(116, 716)(117, 717)(118, 718)(119, 719)(120, 720)(121, 721)(122, 722)(123, 723)(124, 724)(125, 725)(126, 726)(127, 727)(128, 728)(129, 729)(130, 730)(131, 731)(132, 732)(133, 733)(134, 734)(135, 735)(136, 736)(137, 737)(138, 738)(139, 739)(140, 740)(141, 741)(142, 742)(143, 743)(144, 744)(145, 745)(146, 746)(147, 747)(148, 748)(149, 749)(150, 750)(151, 751)(152, 752)(153, 753)(154, 754)(155, 755)(156, 756)(157, 757)(158, 758)(159, 759)(160, 760)(161, 761)(162, 762)(163, 763)(164, 764)(165, 765)(166, 766)(167, 767)(168, 768)(169, 769)(170, 770)(171, 771)(172, 772)(173, 773)(174, 774)(175, 775)(176, 776)(177, 777)(178, 778)(179, 779)(180, 780)(181, 781)(182, 782)(183, 783)(184, 784)(185, 785)(186, 786)(187, 787)(188, 788)(189, 789)(190, 790)(191, 791)(192, 792)(193, 793)(194, 794)(195, 795)(196, 796)(197, 797)(198, 798)(199, 799)(200, 800)(201, 801)(202, 802)(203, 803)(204, 804)(205, 805)(206, 806)(207, 807)(208, 808)(209, 809)(210, 810)(211, 811)(212, 812)(213, 813)(214, 814)(215, 815)(216, 816)(217, 817)(218, 818)(219, 819)(220, 820)(221, 821)(222, 822)(223, 823)(224, 824)(225, 825)(226, 826)(227, 827)(228, 828)(229, 829)(230, 830)(231, 831)(232, 832)(233, 833)(234, 834)(235, 835)(236, 836)(237, 837)(238, 838)(239, 839)(240, 840)(241, 841)(242, 842)(243, 843)(244, 844)(245, 845)(246, 846)(247, 847)(248, 848)(249, 849)(250, 850)(251, 851)(252, 852)(253, 853)(254, 854)(255, 855)(256, 856)(257, 857)(258, 858)(259, 859)(260, 860)(261, 861)(262, 862)(263, 863)(264, 864)(265, 865)(266, 866)(267, 867)(268, 868)(269, 869)(270, 870)(271, 871)(272, 872)(273, 873)(274, 874)(275, 875)(276, 876)(277, 877)(278, 878)(279, 879)(280, 880)(281, 881)(282, 882)(283, 883)(284, 884)(285, 885)(286, 886)(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, 905)(306, 906)(307, 907)(308, 908)(309, 909)(310, 910)(311, 911)(312, 912)(313, 913)(314, 914)(315, 915)(316, 916)(317, 917)(318, 918)(319, 919)(320, 920)(321, 921)(322, 922)(323, 923)(324, 924)(325, 925)(326, 926)(327, 927)(328, 928)(329, 929)(330, 930)(331, 931)(332, 932)(333, 933)(334, 934)(335, 935)(336, 936)(337, 937)(338, 938)(339, 939)(340, 940)(341, 941)(342, 942)(343, 943)(344, 944)(345, 945)(346, 946)(347, 947)(348, 948)(349, 949)(350, 950)(351, 951)(352, 952)(353, 953)(354, 954)(355, 955)(356, 956)(357, 957)(358, 958)(359, 959)(360, 960)(361, 961)(362, 962)(363, 963)(364, 964)(365, 965)(366, 966)(367, 967)(368, 968)(369, 969)(370, 970)(371, 971)(372, 972)(373, 973)(374, 974)(375, 975)(376, 976)(377, 977)(378, 978)(379, 979)(380, 980)(381, 981)(382, 982)(383, 983)(384, 984)(385, 985)(386, 986)(387, 987)(388, 988)(389, 989)(390, 990)(391, 991)(392, 992)(393, 993)(394, 994)(395, 995)(396, 996)(397, 997)(398, 998)(399, 999)(400, 1000)(401, 1001)(402, 1002)(403, 1003)(404, 1004)(405, 1005)(406, 1006)(407, 1007)(408, 1008)(409, 1009)(410, 1010)(411, 1011)(412, 1012)(413, 1013)(414, 1014)(415, 1015)(416, 1016)(417, 1017)(418, 1018)(419, 1019)(420, 1020)(421, 1021)(422, 1022)(423, 1023)(424, 1024)(425, 1025)(426, 1026)(427, 1027)(428, 1028)(429, 1029)(430, 1030)(431, 1031)(432, 1032)(433, 1033)(434, 1034)(435, 1035)(436, 1036)(437, 1037)(438, 1038)(439, 1039)(440, 1040)(441, 1041)(442, 1042)(443, 1043)(444, 1044)(445, 1045)(446, 1046)(447, 1047)(448, 1048)(449, 1049)(450, 1050)(451, 1051)(452, 1052)(453, 1053)(454, 1054)(455, 1055)(456, 1056)(457, 1057)(458, 1058)(459, 1059)(460, 1060)(461, 1061)(462, 1062)(463, 1063)(464, 1064)(465, 1065)(466, 1066)(467, 1067)(468, 1068)(469, 1069)(470, 1070)(471, 1071)(472, 1072)(473, 1073)(474, 1074)(475, 1075)(476, 1076)(477, 1077)(478, 1078)(479, 1079)(480, 1080)(481, 1081)(482, 1082)(483, 1083)(484, 1084)(485, 1085)(486, 1086)(487, 1087)(488, 1088)(489, 1089)(490, 1090)(491, 1091)(492, 1092)(493, 1093)(494, 1094)(495, 1095)(496, 1096)(497, 1097)(498, 1098)(499, 1099)(500, 1100)(501, 1101)(502, 1102)(503, 1103)(504, 1104)(505, 1105)(506, 1106)(507, 1107)(508, 1108)(509, 1109)(510, 1110)(511, 1111)(512, 1112)(513, 1113)(514, 1114)(515, 1115)(516, 1116)(517, 1117)(518, 1118)(519, 1119)(520, 1120)(521, 1121)(522, 1122)(523, 1123)(524, 1124)(525, 1125)(526, 1126)(527, 1127)(528, 1128)(529, 1129)(530, 1130)(531, 1131)(532, 1132)(533, 1133)(534, 1134)(535, 1135)(536, 1136)(537, 1137)(538, 1138)(539, 1139)(540, 1140)(541, 1141)(542, 1142)(543, 1143)(544, 1144)(545, 1145)(546, 1146)(547, 1147)(548, 1148)(549, 1149)(550, 1150)(551, 1151)(552, 1152)(553, 1153)(554, 1154)(555, 1155)(556, 1156)(557, 1157)(558, 1158)(559, 1159)(560, 1160)(561, 1161)(562, 1162)(563, 1163)(564, 1164)(565, 1165)(566, 1166)(567, 1167)(568, 1168)(569, 1169)(570, 1170)(571, 1171)(572, 1172)(573, 1173)(574, 1174)(575, 1175)(576, 1176)(577, 1177)(578, 1178)(579, 1179)(580, 1180)(581, 1181)(582, 1182)(583, 1183)(584, 1184)(585, 1185)(586, 1186)(587, 1187)(588, 1188)(589, 1189)(590, 1190)(591, 1191)(592, 1192)(593, 1193)(594, 1194)(595, 1195)(596, 1196)(597, 1197)(598, 1198)(599, 1199)(600, 1200)
	local type(s) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E26.1496
Graph:: simple bipartite
	v = 250 e = 600 f = 300
	degree seq :: [ 4^150, 6^100 ]

E26.1496 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 4, 4})
Quotient :: loop^2
Aut^+ = ((C5 x C5) : C3) : C4 (small group id <300, 23>)
Aut   = $<600, 151>$ (small group id <600, 151>)
|r| :: 2
Presentation :: [ Y3, R^2, Y1^4, (R * Y3)^2, Y2^4, R * Y1 * R * Y2, (Y1^-1 * Y2^-1)^3, (Y1^-1 * Y2^-1)^3, (Y1^-1 * Y3^-1 * Y2^-1)^3, Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y1^2 * Y2^-2 * Y1, (Y2^-1, Y1^-1)^3, Y2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^2 * Y1^-1 * Y2, Y2 * Y1^-2 * Y2 * Y1^2 * Y2 * Y1^-2 * Y2 * Y1^-2, Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1, (Y2 * Y1^-1)^6 ]
Map:: polyhedral non-degenerate
	R = (1, 301, 601, 901)(2, 302, 602, 902)(3, 303, 603, 903)(4, 304, 604, 904)(5, 305, 605, 905)(6, 306, 606, 906)(7, 307, 607, 907)(8, 308, 608, 908)(9, 309, 609, 909)(10, 310, 610, 910)(11, 311, 611, 911)(12, 312, 612, 912)(13, 313, 613, 913)(14, 314, 614, 914)(15, 315, 615, 915)(16, 316, 616, 916)(17, 317, 617, 917)(18, 318, 618, 918)(19, 319, 619, 919)(20, 320, 620, 920)(21, 321, 621, 921)(22, 322, 622, 922)(23, 323, 623, 923)(24, 324, 624, 924)(25, 325, 625, 925)(26, 326, 626, 926)(27, 327, 627, 927)(28, 328, 628, 928)(29, 329, 629, 929)(30, 330, 630, 930)(31, 331, 631, 931)(32, 332, 632, 932)(33, 333, 633, 933)(34, 334, 634, 934)(35, 335, 635, 935)(36, 336, 636, 936)(37, 337, 637, 937)(38, 338, 638, 938)(39, 339, 639, 939)(40, 340, 640, 940)(41, 341, 641, 941)(42, 342, 642, 942)(43, 343, 643, 943)(44, 344, 644, 944)(45, 345, 645, 945)(46, 346, 646, 946)(47, 347, 647, 947)(48, 348, 648, 948)(49, 349, 649, 949)(50, 350, 650, 950)(51, 351, 651, 951)(52, 352, 652, 952)(53, 353, 653, 953)(54, 354, 654, 954)(55, 355, 655, 955)(56, 356, 656, 956)(57, 357, 657, 957)(58, 358, 658, 958)(59, 359, 659, 959)(60, 360, 660, 960)(61, 361, 661, 961)(62, 362, 662, 962)(63, 363, 663, 963)(64, 364, 664, 964)(65, 365, 665, 965)(66, 366, 666, 966)(67, 367, 667, 967)(68, 368, 668, 968)(69, 369, 669, 969)(70, 370, 670, 970)(71, 371, 671, 971)(72, 372, 672, 972)(73, 373, 673, 973)(74, 374, 674, 974)(75, 375, 675, 975)(76, 376, 676, 976)(77, 377, 677, 977)(78, 378, 678, 978)(79, 379, 679, 979)(80, 380, 680, 980)(81, 381, 681, 981)(82, 382, 682, 982)(83, 383, 683, 983)(84, 384, 684, 984)(85, 385, 685, 985)(86, 386, 686, 986)(87, 387, 687, 987)(88, 388, 688, 988)(89, 389, 689, 989)(90, 390, 690, 990)(91, 391, 691, 991)(92, 392, 692, 992)(93, 393, 693, 993)(94, 394, 694, 994)(95, 395, 695, 995)(96, 396, 696, 996)(97, 397, 697, 997)(98, 398, 698, 998)(99, 399, 699, 999)(100, 400, 700, 1000)(101, 401, 701, 1001)(102, 402, 702, 1002)(103, 403, 703, 1003)(104, 404, 704, 1004)(105, 405, 705, 1005)(106, 406, 706, 1006)(107, 407, 707, 1007)(108, 408, 708, 1008)(109, 409, 709, 1009)(110, 410, 710, 1010)(111, 411, 711, 1011)(112, 412, 712, 1012)(113, 413, 713, 1013)(114, 414, 714, 1014)(115, 415, 715, 1015)(116, 416, 716, 1016)(117, 417, 717, 1017)(118, 418, 718, 1018)(119, 419, 719, 1019)(120, 420, 720, 1020)(121, 421, 721, 1021)(122, 422, 722, 1022)(123, 423, 723, 1023)(124, 424, 724, 1024)(125, 425, 725, 1025)(126, 426, 726, 1026)(127, 427, 727, 1027)(128, 428, 728, 1028)(129, 429, 729, 1029)(130, 430, 730, 1030)(131, 431, 731, 1031)(132, 432, 732, 1032)(133, 433, 733, 1033)(134, 434, 734, 1034)(135, 435, 735, 1035)(136, 436, 736, 1036)(137, 437, 737, 1037)(138, 438, 738, 1038)(139, 439, 739, 1039)(140, 440, 740, 1040)(141, 441, 741, 1041)(142, 442, 742, 1042)(143, 443, 743, 1043)(144, 444, 744, 1044)(145, 445, 745, 1045)(146, 446, 746, 1046)(147, 447, 747, 1047)(148, 448, 748, 1048)(149, 449, 749, 1049)(150, 450, 750, 1050)(151, 451, 751, 1051)(152, 452, 752, 1052)(153, 453, 753, 1053)(154, 454, 754, 1054)(155, 455, 755, 1055)(156, 456, 756, 1056)(157, 457, 757, 1057)(158, 458, 758, 1058)(159, 459, 759, 1059)(160, 460, 760, 1060)(161, 461, 761, 1061)(162, 462, 762, 1062)(163, 463, 763, 1063)(164, 464, 764, 1064)(165, 465, 765, 1065)(166, 466, 766, 1066)(167, 467, 767, 1067)(168, 468, 768, 1068)(169, 469, 769, 1069)(170, 470, 770, 1070)(171, 471, 771, 1071)(172, 472, 772, 1072)(173, 473, 773, 1073)(174, 474, 774, 1074)(175, 475, 775, 1075)(176, 476, 776, 1076)(177, 477, 777, 1077)(178, 478, 778, 1078)(179, 479, 779, 1079)(180, 480, 780, 1080)(181, 481, 781, 1081)(182, 482, 782, 1082)(183, 483, 783, 1083)(184, 484, 784, 1084)(185, 485, 785, 1085)(186, 486, 786, 1086)(187, 487, 787, 1087)(188, 488, 788, 1088)(189, 489, 789, 1089)(190, 490, 790, 1090)(191, 491, 791, 1091)(192, 492, 792, 1092)(193, 493, 793, 1093)(194, 494, 794, 1094)(195, 495, 795, 1095)(196, 496, 796, 1096)(197, 497, 797, 1097)(198, 498, 798, 1098)(199, 499, 799, 1099)(200, 500, 800, 1100)(201, 501, 801, 1101)(202, 502, 802, 1102)(203, 503, 803, 1103)(204, 504, 804, 1104)(205, 505, 805, 1105)(206, 506, 806, 1106)(207, 507, 807, 1107)(208, 508, 808, 1108)(209, 509, 809, 1109)(210, 510, 810, 1110)(211, 511, 811, 1111)(212, 512, 812, 1112)(213, 513, 813, 1113)(214, 514, 814, 1114)(215, 515, 815, 1115)(216, 516, 816, 1116)(217, 517, 817, 1117)(218, 518, 818, 1118)(219, 519, 819, 1119)(220, 520, 820, 1120)(221, 521, 821, 1121)(222, 522, 822, 1122)(223, 523, 823, 1123)(224, 524, 824, 1124)(225, 525, 825, 1125)(226, 526, 826, 1126)(227, 527, 827, 1127)(228, 528, 828, 1128)(229, 529, 829, 1129)(230, 530, 830, 1130)(231, 531, 831, 1131)(232, 532, 832, 1132)(233, 533, 833, 1133)(234, 534, 834, 1134)(235, 535, 835, 1135)(236, 536, 836, 1136)(237, 537, 837, 1137)(238, 538, 838, 1138)(239, 539, 839, 1139)(240, 540, 840, 1140)(241, 541, 841, 1141)(242, 542, 842, 1142)(243, 543, 843, 1143)(244, 544, 844, 1144)(245, 545, 845, 1145)(246, 546, 846, 1146)(247, 547, 847, 1147)(248, 548, 848, 1148)(249, 549, 849, 1149)(250, 550, 850, 1150)(251, 551, 851, 1151)(252, 552, 852, 1152)(253, 553, 853, 1153)(254, 554, 854, 1154)(255, 555, 855, 1155)(256, 556, 856, 1156)(257, 557, 857, 1157)(258, 558, 858, 1158)(259, 559, 859, 1159)(260, 560, 860, 1160)(261, 561, 861, 1161)(262, 562, 862, 1162)(263, 563, 863, 1163)(264, 564, 864, 1164)(265, 565, 865, 1165)(266, 566, 866, 1166)(267, 567, 867, 1167)(268, 568, 868, 1168)(269, 569, 869, 1169)(270, 570, 870, 1170)(271, 571, 871, 1171)(272, 572, 872, 1172)(273, 573, 873, 1173)(274, 574, 874, 1174)(275, 575, 875, 1175)(276, 576, 876, 1176)(277, 577, 877, 1177)(278, 578, 878, 1178)(279, 579, 879, 1179)(280, 580, 880, 1180)(281, 581, 881, 1181)(282, 582, 882, 1182)(283, 583, 883, 1183)(284, 584, 884, 1184)(285, 585, 885, 1185)(286, 586, 886, 1186)(287, 587, 887, 1187)(288, 588, 888, 1188)(289, 589, 889, 1189)(290, 590, 890, 1190)(291, 591, 891, 1191)(292, 592, 892, 1192)(293, 593, 893, 1193)(294, 594, 894, 1194)(295, 595, 895, 1195)(296, 596, 896, 1196)(297, 597, 897, 1197)(298, 598, 898, 1198)(299, 599, 899, 1199)(300, 600, 900, 1200)
	L = (1, 302)(2, 306)(3, 309)(4, 301)(5, 314)(6, 304)(7, 318)(8, 321)(9, 323)(10, 326)(11, 303)(12, 330)(13, 333)(14, 334)(15, 305)(16, 338)(17, 341)(18, 343)(19, 345)(20, 307)(21, 349)(22, 308)(23, 311)(24, 313)(25, 357)(26, 359)(27, 310)(28, 364)(29, 367)(30, 368)(31, 370)(32, 312)(33, 356)(34, 315)(35, 363)(36, 380)(37, 382)(38, 384)(39, 386)(40, 316)(41, 390)(42, 317)(43, 320)(44, 396)(45, 398)(46, 319)(47, 403)(48, 406)(49, 322)(50, 402)(51, 411)(52, 413)(53, 415)(54, 417)(55, 419)(56, 324)(57, 423)(58, 325)(59, 327)(60, 329)(61, 392)(62, 431)(63, 434)(64, 435)(65, 405)(66, 328)(67, 429)(68, 332)(69, 443)(70, 445)(71, 331)(72, 449)(73, 451)(74, 448)(75, 454)(76, 455)(77, 424)(78, 459)(79, 335)(80, 462)(81, 336)(82, 464)(83, 337)(84, 340)(85, 468)(86, 470)(87, 339)(88, 474)(89, 477)(90, 342)(91, 473)(92, 482)(93, 483)(94, 485)(95, 487)(96, 489)(97, 344)(98, 346)(99, 348)(100, 375)(101, 497)(102, 500)(103, 365)(104, 476)(105, 347)(106, 495)(107, 506)(108, 490)(109, 510)(110, 350)(111, 513)(112, 351)(113, 515)(114, 352)(115, 479)(116, 353)(117, 518)(118, 354)(119, 521)(120, 355)(121, 494)(122, 486)(123, 358)(124, 466)(125, 526)(126, 504)(127, 527)(128, 529)(129, 360)(130, 361)(131, 532)(132, 523)(133, 362)(134, 379)(135, 366)(136, 537)(137, 538)(138, 539)(139, 501)(140, 540)(141, 509)(142, 541)(143, 533)(144, 369)(145, 371)(146, 373)(147, 536)(148, 530)(149, 475)(150, 372)(151, 524)(152, 520)(153, 374)(154, 496)(155, 498)(156, 531)(157, 376)(158, 377)(159, 549)(160, 378)(161, 516)(162, 381)(163, 545)(164, 383)(165, 505)(166, 458)(167, 552)(168, 554)(169, 385)(170, 387)(171, 389)(172, 558)(173, 561)(174, 404)(175, 450)(176, 388)(177, 557)(178, 428)(179, 416)(180, 567)(181, 391)(182, 430)(183, 571)(184, 393)(185, 422)(186, 394)(187, 573)(188, 395)(189, 397)(190, 441)(191, 463)(192, 440)(193, 576)(194, 432)(195, 399)(196, 400)(197, 579)(198, 457)(199, 401)(200, 410)(201, 461)(202, 438)(203, 425)(204, 562)(205, 436)(206, 559)(207, 578)(208, 407)(209, 408)(210, 584)(211, 409)(212, 426)(213, 412)(214, 437)(215, 414)(216, 439)(217, 587)(218, 418)(219, 580)(220, 589)(221, 420)(222, 585)(223, 421)(224, 446)(225, 582)(226, 563)(227, 583)(228, 427)(229, 566)(230, 453)(231, 572)(232, 433)(233, 444)(234, 574)(235, 556)(236, 592)(237, 465)(238, 555)(239, 570)(240, 569)(241, 593)(242, 442)(243, 586)(244, 447)(245, 564)(246, 452)(247, 456)(248, 581)(249, 460)(250, 575)(251, 590)(252, 594)(253, 467)(254, 469)(255, 514)(256, 551)(257, 471)(258, 596)(259, 508)(260, 472)(261, 481)(262, 512)(263, 503)(264, 491)(265, 550)(266, 478)(267, 600)(268, 480)(269, 492)(270, 502)(271, 484)(272, 547)(273, 488)(274, 597)(275, 598)(276, 599)(277, 493)(278, 525)(279, 499)(280, 595)(281, 543)(282, 507)(283, 528)(284, 511)(285, 517)(286, 548)(287, 522)(288, 519)(289, 546)(290, 535)(291, 534)(292, 544)(293, 542)(294, 553)(295, 588)(296, 560)(297, 591)(298, 565)(299, 577)(300, 568)(601, 903)(602, 907)(603, 910)(604, 912)(605, 901)(606, 916)(607, 919)(608, 902)(609, 924)(610, 905)(611, 928)(612, 931)(613, 904)(614, 935)(615, 937)(616, 939)(617, 906)(618, 915)(619, 908)(620, 947)(621, 950)(622, 952)(623, 953)(624, 955)(625, 909)(626, 960)(627, 962)(628, 965)(629, 911)(630, 942)(631, 913)(632, 972)(633, 974)(634, 976)(635, 978)(636, 914)(637, 944)(638, 922)(639, 917)(640, 988)(641, 991)(642, 993)(643, 994)(644, 918)(645, 999)(646, 1001)(647, 1004)(648, 920)(649, 1007)(650, 1009)(651, 921)(652, 985)(653, 1014)(654, 923)(655, 925)(656, 1021)(657, 1024)(658, 1026)(659, 1027)(660, 1028)(661, 926)(662, 1032)(663, 927)(664, 1018)(665, 929)(666, 1037)(667, 1039)(668, 1041)(669, 930)(670, 1046)(671, 1047)(672, 1035)(673, 932)(674, 1052)(675, 933)(676, 1056)(677, 934)(678, 936)(679, 1045)(680, 1017)(681, 986)(682, 1058)(683, 1042)(684, 1066)(685, 938)(686, 1071)(687, 1072)(688, 1075)(689, 940)(690, 1078)(691, 1080)(692, 941)(693, 969)(694, 1084)(695, 943)(696, 1090)(697, 1092)(698, 1093)(699, 1094)(700, 945)(701, 1098)(702, 946)(703, 1088)(704, 948)(705, 1102)(706, 1104)(707, 1107)(708, 949)(709, 951)(710, 959)(711, 1087)(712, 970)(713, 1109)(714, 954)(715, 958)(716, 1117)(717, 1119)(718, 1120)(719, 1085)(720, 1067)(721, 1122)(722, 956)(723, 1097)(724, 1125)(725, 957)(726, 1083)(727, 1112)(728, 961)(729, 1089)(730, 1131)(731, 1100)(732, 963)(733, 1134)(734, 1095)(735, 973)(736, 964)(737, 1132)(738, 966)(739, 1077)(740, 967)(741, 983)(742, 968)(743, 1086)(744, 1116)(745, 1143)(746, 1106)(747, 1129)(748, 971)(749, 1142)(750, 1145)(751, 1105)(752, 975)(753, 1070)(754, 1141)(755, 981)(756, 977)(757, 1148)(758, 1069)(759, 1101)(760, 1108)(761, 979)(762, 1150)(763, 980)(764, 1135)(765, 982)(766, 1020)(767, 984)(768, 1016)(769, 1065)(770, 1156)(771, 1055)(772, 1159)(773, 987)(774, 1153)(775, 989)(776, 1163)(777, 1040)(778, 1165)(779, 990)(780, 992)(781, 998)(782, 1152)(783, 1015)(784, 995)(785, 997)(786, 1172)(787, 1174)(788, 1059)(789, 1158)(790, 1175)(791, 996)(792, 1019)(793, 1169)(794, 1000)(795, 1154)(796, 1178)(797, 1161)(798, 1002)(799, 1180)(800, 1157)(801, 1003)(802, 1179)(803, 1005)(804, 1051)(805, 1006)(806, 1012)(807, 1008)(808, 1183)(809, 1044)(810, 1162)(811, 1166)(812, 1010)(813, 1185)(814, 1011)(815, 1181)(816, 1013)(817, 1155)(818, 1060)(819, 1063)(820, 1036)(821, 1177)(822, 1022)(823, 1190)(824, 1023)(825, 1025)(826, 1054)(827, 1030)(828, 1160)(829, 1048)(830, 1029)(831, 1189)(832, 1038)(833, 1031)(834, 1064)(835, 1033)(836, 1034)(837, 1053)(838, 1050)(839, 1043)(840, 1049)(841, 1191)(842, 1167)(843, 1061)(844, 1188)(845, 1192)(846, 1057)(847, 1187)(848, 1193)(849, 1176)(850, 1184)(851, 1062)(852, 1195)(853, 1110)(854, 1136)(855, 1068)(856, 1137)(857, 1133)(858, 1130)(859, 1073)(860, 1197)(861, 1124)(862, 1074)(863, 1196)(864, 1076)(865, 1079)(866, 1199)(867, 1140)(868, 1123)(869, 1081)(870, 1082)(871, 1128)(872, 1139)(873, 1111)(874, 1114)(875, 1091)(876, 1096)(877, 1144)(878, 1149)(879, 1103)(880, 1115)(881, 1099)(882, 1147)(883, 1118)(884, 1151)(885, 1200)(886, 1113)(887, 1198)(888, 1121)(889, 1127)(890, 1194)(891, 1126)(892, 1138)(893, 1146)(894, 1168)(895, 1170)(896, 1164)(897, 1171)(898, 1182)(899, 1173)(900, 1186)
	local type(s) :: { ( 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E26.1495
Transitivity :: VT+
Graph:: simple bipartite
	v = 300 e = 600 f = 250
	degree seq :: [ 4^300 ]

E26.1497 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 4, 4})
Quotient :: loop^2
Aut^+ = ((C5 x C5) : C3) : C4 (small group id <300, 23>)
Aut   = $<600, 151>$ (small group id <600, 151>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1 * Y2, Y3^3, Y2^4, Y1^4, (R * Y3)^2, Y2^4, R * Y1 * R * Y2, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y3^-1, (Y2 * Y3^-1)^4, Y2 * Y1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2 * Y1 * Y3^-1, Y3 * Y2 * Y1 * Y2^-2 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, (Y2 * Y1 * Y3)^3, Y2^2 * Y1 * Y3^-1 * Y2^2 * Y1 * Y3 * Y2 * Y1^-1, Y3^-1 * Y1^-1 * Y2 * Y1^-2 * Y2^-1 * Y3 * Y1^-2 * Y2^-1, Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 301, 601, 901, 4, 304, 604, 904, 7, 307, 607, 907)(2, 302, 602, 902, 9, 309, 609, 909, 11, 311, 611, 911)(3, 303, 603, 903, 5, 305, 605, 905, 15, 315, 615, 915)(6, 306, 606, 906, 22, 322, 622, 922, 23, 323, 623, 923)(8, 308, 608, 908, 26, 326, 626, 926, 19, 319, 619, 919)(10, 310, 610, 910, 32, 332, 632, 932, 33, 333, 633, 933)(12, 312, 612, 912, 37, 337, 637, 937, 39, 339, 639, 939)(13, 313, 613, 913, 14, 314, 614, 914, 41, 341, 641, 941)(16, 316, 616, 916, 17, 317, 617, 917, 49, 349, 649, 949)(18, 318, 618, 918, 53, 353, 653, 953, 54, 354, 654, 954)(20, 320, 620, 920, 59, 359, 659, 959, 60, 360, 660, 960)(21, 321, 621, 921, 61, 361, 661, 961, 50, 350, 650, 950)(24, 324, 624, 924, 25, 325, 625, 925, 69, 369, 669, 969)(27, 327, 627, 927, 75, 375, 675, 975, 76, 376, 676, 976)(28, 328, 628, 928, 29, 329, 629, 929, 80, 380, 680, 980)(30, 330, 630, 930, 84, 384, 684, 984, 85, 385, 685, 985)(31, 331, 631, 931, 86, 386, 686, 986, 81, 381, 681, 981)(34, 334, 634, 934, 35, 335, 635, 935, 94, 394, 694, 994)(36, 336, 636, 936, 97, 397, 697, 997, 42, 342, 642, 942)(38, 338, 638, 938, 103, 403, 703, 1003, 104, 404, 704, 1004)(40, 340, 640, 940, 106, 406, 706, 1006, 108, 408, 708, 1008)(43, 343, 643, 943, 115, 415, 715, 1015, 116, 416, 716, 1016)(44, 344, 644, 944, 45, 345, 645, 945, 118, 418, 718, 1018)(46, 346, 646, 946, 122, 422, 722, 1022, 124, 424, 724, 1024)(47, 347, 647, 947, 48, 348, 648, 948, 126, 426, 726, 1026)(51, 351, 651, 951, 132, 432, 732, 1032, 133, 433, 733, 1033)(52, 352, 652, 952, 134, 434, 734, 1034, 70, 370, 670, 970)(55, 355, 655, 955, 141, 441, 741, 1041, 128, 428, 728, 1028)(56, 356, 656, 956, 57, 357, 657, 957, 144, 444, 744, 1044)(58, 358, 658, 958, 147, 447, 747, 1047, 119, 419, 719, 1019)(62, 362, 662, 962, 156, 456, 756, 1056, 157, 457, 757, 1057)(63, 363, 663, 963, 64, 364, 664, 964, 161, 461, 761, 1061)(65, 365, 665, 965, 163, 463, 763, 1063, 164, 464, 764, 1064)(66, 366, 666, 966, 67, 367, 667, 967, 166, 466, 766, 1066)(68, 368, 668, 968, 168, 468, 768, 1068, 169, 469, 769, 1069)(71, 371, 671, 971, 173, 473, 773, 1073, 174, 474, 774, 1074)(72, 372, 672, 972, 73, 373, 673, 973, 101, 401, 701, 1001)(74, 374, 674, 974, 107, 407, 707, 1007, 176, 476, 776, 1076)(77, 377, 677, 977, 167, 467, 767, 1067, 186, 486, 786, 1086)(78, 378, 678, 978, 79, 379, 679, 979, 105, 405, 705, 1005)(82, 382, 682, 982, 191, 491, 791, 1091, 192, 492, 792, 1092)(83, 383, 683, 983, 193, 493, 793, 1093, 95, 395, 695, 995)(87, 387, 687, 987, 198, 498, 798, 1098, 199, 499, 799, 1099)(88, 388, 688, 988, 89, 389, 689, 989, 203, 503, 803, 1103)(90, 390, 690, 990, 129, 429, 729, 1029, 204, 504, 804, 1104)(91, 391, 691, 991, 92, 392, 692, 992, 206, 506, 806, 1106)(93, 393, 693, 993, 154, 454, 754, 1054, 208, 508, 808, 1108)(96, 396, 696, 996, 212, 512, 812, 1112, 213, 513, 813, 1113)(98, 398, 698, 998, 184, 484, 784, 1084, 216, 516, 816, 1116)(99, 399, 699, 999, 100, 400, 700, 1000, 217, 517, 817, 1117)(102, 402, 702, 1002, 219, 519, 819, 1119, 200, 500, 800, 1100)(109, 409, 709, 1009, 110, 410, 710, 1010, 151, 451, 751, 1051)(111, 411, 711, 1011, 230, 530, 830, 1130, 146, 446, 746, 1046)(112, 412, 712, 1012, 113, 413, 713, 1013, 232, 532, 832, 1132)(114, 414, 714, 1014, 136, 436, 736, 1036, 137, 437, 737, 1037)(117, 417, 717, 1017, 235, 535, 835, 1135, 236, 536, 836, 1136)(120, 420, 720, 1020, 239, 539, 839, 1139, 240, 540, 840, 1140)(121, 421, 721, 1021, 241, 541, 841, 1141, 127, 427, 727, 1027)(123, 423, 723, 1023, 195, 495, 795, 1095, 172, 472, 772, 1072)(125, 425, 725, 1025, 244, 544, 844, 1144, 246, 546, 846, 1146)(130, 430, 730, 1030, 131, 431, 731, 1031, 249, 549, 849, 1149)(135, 435, 735, 1035, 254, 554, 854, 1154, 255, 555, 855, 1155)(138, 438, 738, 1038, 139, 439, 739, 1039, 142, 442, 742, 1042)(140, 440, 740, 1040, 248, 548, 848, 1148, 145, 445, 745, 1045)(143, 443, 743, 1043, 196, 496, 796, 1096, 258, 558, 858, 1158)(148, 448, 748, 1048, 251, 551, 851, 1151, 247, 547, 847, 1147)(149, 449, 749, 1049, 150, 450, 750, 1050, 162, 462, 762, 1062)(152, 452, 752, 1052, 153, 453, 753, 1053, 231, 531, 831, 1131)(155, 455, 755, 1055, 245, 545, 845, 1145, 263, 563, 863, 1163)(158, 458, 758, 1058, 256, 556, 856, 1156, 234, 534, 834, 1134)(159, 459, 759, 1059, 160, 460, 760, 1060, 243, 543, 843, 1143)(165, 465, 765, 1065, 253, 553, 853, 1153, 268, 568, 868, 1168)(170, 470, 770, 1070, 171, 471, 771, 1071, 269, 569, 869, 1169)(175, 475, 775, 1075, 207, 507, 807, 1107, 226, 526, 826, 1126)(177, 477, 777, 1077, 272, 572, 872, 1172, 222, 522, 822, 1122)(178, 478, 778, 1078, 273, 573, 873, 1173, 274, 574, 874, 1174)(179, 479, 779, 1079, 180, 480, 780, 1080, 228, 528, 828, 1128)(181, 481, 781, 1081, 188, 488, 788, 1088, 218, 518, 818, 1118)(182, 482, 782, 1082, 183, 483, 783, 1083, 278, 578, 878, 1178)(185, 485, 785, 1085, 257, 557, 857, 1157, 211, 511, 811, 1111)(187, 487, 787, 1087, 280, 580, 880, 1180, 261, 561, 861, 1161)(189, 489, 789, 1089, 190, 490, 790, 1090, 266, 566, 866, 1166)(194, 494, 794, 1094, 221, 521, 821, 1121, 284, 584, 884, 1184)(197, 497, 797, 1097, 281, 581, 881, 1181, 285, 585, 885, 1185)(201, 501, 801, 1101, 202, 502, 802, 1102, 250, 550, 850, 1150)(205, 505, 805, 1105, 283, 583, 883, 1183, 264, 564, 864, 1164)(209, 509, 809, 1109, 210, 510, 810, 1110, 290, 590, 890, 1190)(214, 514, 814, 1114, 215, 515, 815, 1115, 225, 525, 825, 1125)(220, 520, 820, 1120, 252, 552, 852, 1152, 260, 560, 860, 1160)(223, 523, 823, 1123, 224, 524, 824, 1124, 293, 593, 893, 1193)(227, 527, 827, 1127, 262, 562, 862, 1162, 295, 595, 895, 1195)(229, 529, 829, 1129, 259, 559, 859, 1159, 233, 533, 833, 1133)(237, 537, 837, 1137, 238, 538, 838, 1138, 296, 596, 896, 1196)(242, 542, 842, 1142, 267, 567, 867, 1167, 287, 587, 887, 1187)(265, 565, 865, 1165, 291, 591, 891, 1191, 300, 600, 900, 1200)(270, 570, 870, 1170, 271, 571, 871, 1171, 288, 588, 888, 1188)(275, 575, 875, 1175, 276, 576, 876, 1176, 282, 582, 882, 1182)(277, 577, 877, 1177, 299, 599, 899, 1199, 286, 586, 886, 1186)(279, 579, 879, 1179, 289, 589, 889, 1189, 294, 594, 894, 1194)(292, 592, 892, 1192, 297, 597, 897, 1197, 298, 598, 898, 1198)
	L = (1, 302)(2, 308)(3, 312)(4, 306)(5, 301)(6, 321)(7, 318)(8, 305)(9, 310)(10, 331)(11, 330)(12, 336)(13, 340)(14, 303)(15, 320)(16, 346)(17, 304)(18, 352)(19, 355)(20, 358)(21, 317)(22, 313)(23, 365)(24, 368)(25, 307)(26, 327)(27, 374)(28, 377)(29, 309)(30, 383)(31, 329)(32, 324)(33, 390)(34, 393)(35, 311)(36, 314)(37, 338)(38, 402)(39, 401)(40, 364)(41, 343)(42, 411)(43, 414)(44, 417)(45, 315)(46, 421)(47, 425)(48, 316)(49, 351)(50, 429)(51, 404)(52, 325)(53, 347)(54, 418)(55, 440)(56, 443)(57, 319)(58, 345)(59, 356)(60, 451)(61, 362)(62, 455)(63, 458)(64, 322)(65, 462)(66, 465)(67, 323)(68, 389)(69, 371)(70, 415)(71, 472)(72, 475)(73, 326)(74, 373)(75, 334)(76, 481)(77, 484)(78, 487)(79, 328)(80, 382)(81, 488)(82, 426)(83, 335)(84, 378)(85, 349)(86, 387)(87, 497)(88, 500)(89, 332)(90, 461)(91, 505)(92, 333)(93, 480)(94, 396)(95, 473)(96, 511)(97, 398)(98, 457)(99, 474)(100, 337)(101, 477)(102, 400)(103, 344)(104, 385)(105, 339)(106, 407)(107, 478)(108, 525)(109, 527)(110, 341)(111, 529)(112, 471)(113, 342)(114, 410)(115, 412)(116, 466)(117, 521)(118, 420)(119, 463)(120, 439)(121, 348)(122, 423)(123, 530)(124, 508)(125, 437)(126, 428)(127, 547)(128, 380)(129, 501)(130, 523)(131, 350)(132, 430)(133, 491)(134, 435)(135, 499)(136, 513)(137, 353)(138, 372)(139, 354)(140, 357)(141, 442)(142, 556)(143, 450)(144, 446)(145, 512)(146, 517)(147, 448)(148, 560)(149, 561)(150, 359)(151, 528)(152, 514)(153, 360)(154, 361)(155, 454)(156, 366)(157, 515)(158, 567)(159, 538)(160, 363)(161, 392)(162, 367)(163, 459)(164, 369)(165, 566)(166, 467)(167, 485)(168, 447)(169, 568)(170, 510)(171, 370)(172, 464)(173, 470)(174, 506)(175, 554)(176, 409)(177, 405)(178, 524)(179, 546)(180, 375)(181, 503)(182, 577)(183, 376)(184, 379)(185, 416)(186, 558)(187, 495)(188, 575)(189, 552)(190, 381)(191, 489)(192, 572)(193, 494)(194, 574)(195, 384)(196, 386)(197, 496)(198, 391)(199, 553)(200, 589)(201, 431)(202, 388)(203, 483)(204, 394)(205, 588)(206, 507)(207, 399)(208, 564)(209, 559)(210, 395)(211, 504)(212, 509)(213, 578)(214, 549)(215, 397)(216, 579)(217, 518)(218, 444)(219, 520)(220, 592)(221, 403)(222, 539)(223, 540)(224, 406)(225, 582)(226, 408)(227, 571)(228, 453)(229, 413)(230, 531)(231, 422)(232, 534)(233, 580)(234, 593)(235, 436)(236, 469)(237, 585)(238, 419)(239, 537)(240, 432)(241, 542)(242, 555)(243, 424)(244, 545)(245, 565)(246, 598)(247, 599)(248, 427)(249, 551)(250, 486)(251, 452)(252, 433)(253, 434)(254, 438)(255, 597)(256, 557)(257, 441)(258, 586)(259, 445)(260, 468)(261, 600)(262, 449)(263, 492)(264, 543)(265, 590)(266, 456)(267, 460)(268, 595)(269, 519)(270, 563)(271, 476)(272, 570)(273, 482)(274, 583)(275, 490)(276, 479)(277, 596)(278, 535)(279, 584)(280, 581)(281, 587)(282, 526)(283, 493)(284, 591)(285, 522)(286, 550)(287, 533)(288, 498)(289, 502)(290, 544)(291, 516)(292, 569)(293, 594)(294, 532)(295, 536)(296, 573)(297, 541)(298, 576)(299, 548)(300, 562)(601, 903)(602, 907)(603, 913)(604, 916)(605, 919)(606, 901)(607, 924)(608, 911)(609, 928)(610, 902)(611, 934)(612, 915)(613, 906)(614, 942)(615, 944)(616, 947)(617, 950)(618, 904)(619, 956)(620, 905)(621, 923)(622, 963)(623, 966)(624, 910)(625, 970)(626, 972)(627, 908)(628, 978)(629, 981)(630, 909)(631, 933)(632, 988)(633, 991)(634, 927)(635, 995)(636, 939)(637, 999)(638, 912)(639, 979)(640, 941)(641, 1009)(642, 1012)(643, 914)(644, 938)(645, 1019)(646, 949)(647, 918)(648, 1027)(649, 984)(650, 1030)(651, 917)(652, 954)(653, 1036)(654, 1038)(655, 926)(656, 920)(657, 1045)(658, 960)(659, 1049)(660, 1052)(661, 993)(662, 921)(663, 1059)(664, 1008)(665, 922)(666, 962)(667, 1050)(668, 969)(669, 1063)(670, 1070)(671, 925)(672, 1042)(673, 1076)(674, 976)(675, 1079)(676, 1082)(677, 980)(678, 930)(679, 998)(680, 1041)(681, 1089)(682, 929)(683, 985)(684, 1023)(685, 1003)(686, 1043)(687, 931)(688, 1101)(689, 1069)(690, 932)(691, 987)(692, 964)(693, 994)(694, 1029)(695, 1109)(696, 935)(697, 1114)(698, 936)(699, 1075)(700, 1100)(701, 937)(702, 1004)(703, 1094)(704, 1033)(705, 1122)(706, 1123)(707, 940)(708, 1107)(709, 1007)(710, 1037)(711, 997)(712, 943)(713, 1133)(714, 1016)(715, 1034)(716, 1111)(717, 1018)(718, 953)(719, 1137)(720, 945)(721, 1024)(722, 1053)(723, 946)(724, 1060)(725, 1026)(726, 1092)(727, 1040)(728, 948)(729, 961)(730, 951)(731, 1150)(732, 1139)(733, 1120)(734, 1065)(735, 952)(736, 1017)(737, 1146)(738, 1035)(739, 1140)(740, 1028)(741, 1085)(742, 955)(743, 1044)(744, 1088)(745, 1129)(746, 957)(747, 968)(748, 958)(749, 1127)(750, 1158)(751, 959)(752, 1048)(753, 1080)(754, 1163)(755, 1057)(756, 1090)(757, 1116)(758, 1061)(759, 965)(760, 1142)(761, 1104)(762, 1064)(763, 1047)(764, 1095)(765, 1066)(766, 1015)(767, 967)(768, 1152)(769, 1135)(770, 971)(771, 1132)(772, 1074)(773, 1093)(774, 1117)(775, 1001)(776, 1170)(777, 973)(778, 974)(779, 1175)(780, 1108)(781, 975)(782, 1078)(783, 989)(784, 1086)(785, 977)(786, 1102)(787, 1005)(788, 986)(789, 982)(790, 1182)(791, 1032)(792, 1145)(793, 1105)(794, 983)(795, 1161)(796, 1185)(797, 1099)(798, 1171)(799, 1155)(800, 1103)(801, 990)(802, 1179)(803, 1118)(804, 1157)(805, 1106)(806, 1073)(807, 992)(808, 1022)(809, 996)(810, 1169)(811, 1113)(812, 1148)(813, 1014)(814, 1131)(815, 1056)(816, 1165)(817, 1130)(818, 1000)(819, 1071)(820, 1002)(821, 1136)(822, 1181)(823, 1149)(824, 1174)(825, 1006)(826, 1176)(827, 1051)(828, 1010)(829, 1046)(830, 1072)(831, 1011)(832, 1189)(833, 1167)(834, 1013)(835, 1083)(836, 1162)(837, 1020)(838, 1143)(839, 1172)(840, 1193)(841, 1192)(842, 1021)(843, 1183)(844, 1110)(845, 1025)(846, 1128)(847, 1141)(848, 1177)(849, 1125)(850, 1199)(851, 1031)(852, 1166)(853, 1098)(854, 1126)(855, 1187)(856, 1039)(857, 1058)(858, 1067)(859, 1190)(860, 1147)(861, 1062)(862, 1191)(863, 1188)(864, 1054)(865, 1055)(866, 1168)(867, 1134)(868, 1068)(869, 1198)(870, 1077)(871, 1195)(872, 1091)(873, 1138)(874, 1184)(875, 1081)(876, 1197)(877, 1178)(878, 1112)(879, 1084)(880, 1159)(881, 1087)(882, 1115)(883, 1173)(884, 1194)(885, 1196)(886, 1096)(887, 1097)(888, 1164)(889, 1119)(890, 1200)(891, 1121)(892, 1160)(893, 1156)(894, 1124)(895, 1153)(896, 1186)(897, 1154)(898, 1144)(899, 1151)(900, 1180)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E26.1494
Transitivity :: VT+
Graph:: bipartite
	v = 100 e = 600 f = 450
	degree seq :: [ 12^100 ]

E26.1498 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 6})
Quotient :: regular
Aut^+ = C2 x (((C5 x C5) : C3) : C2) (small group id <300, 27>)
Aut   = $<600, 154>$ (small group id <600, 154>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, T1^2 * T2 * T1^-3 * T2 * T1, (T1^-1 * T2)^6, (T2 * T1 * T2 * T1^-1)^5 ]
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, 249, 210, 231, 213)(171, 214, 172, 211, 248, 208)(173, 201, 242, 209, 233, 215)(174, 216, 246, 205, 245, 217)(175, 218, 228, 206, 247, 219)(176, 220, 177, 207, 237, 196)(178, 221, 235, 197, 238, 198)(199, 230, 264, 236, 224, 239)(200, 240, 266, 232, 265, 241)(202, 243, 203, 234, 260, 225)(204, 244, 222, 226, 261, 227)(223, 258, 263, 229, 262, 259)(250, 268, 293, 279, 257, 280)(251, 281, 285, 278, 294, 273)(252, 271, 253, 272, 291, 275)(254, 282, 255, 276, 287, 277)(256, 274, 292, 267, 286, 283)(269, 288, 270, 289, 284, 290)(295, 298, 296, 299, 297, 300)
	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, 222)(180, 219)(181, 223)(182, 224)(183, 212)(184, 225)(185, 226)(186, 227)(187, 228)(188, 229)(189, 230)(190, 231)(191, 232)(192, 233)(193, 234)(194, 235)(195, 236)(213, 250)(214, 251)(215, 252)(216, 253)(217, 254)(218, 255)(220, 256)(221, 257)(237, 267)(238, 268)(239, 269)(240, 270)(241, 271)(242, 272)(243, 273)(244, 274)(245, 275)(246, 276)(247, 277)(248, 278)(249, 279)(258, 282)(259, 284)(260, 285)(261, 286)(262, 287)(263, 288)(264, 289)(265, 290)(266, 291)(280, 295)(281, 296)(283, 297)(292, 298)(293, 299)(294, 300)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E26.1499
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 50 e = 150 f = 50
	degree seq :: [ 6^50 ]

E26.1499 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 6})
Quotient :: regular
Aut^+ = C2 x (((C5 x C5) : C3) : C2) (small group id <300, 27>)
Aut   = $<600, 154>$ (small group id <600, 154>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T1 * T2 * T1 * T2 * T1)^2, (T2 * T1^-1)^6, T2 * T1^-3 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T2 * T1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1, (T2 * T1^-1 * T2 * T1^2 * T2 * T1^-1)^2, T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1^-1, T2 * T1^2 * T2 * T1^-3 * T2 * T1^3 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-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, 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, 246, 192, 146)(110, 154, 201, 245, 190, 144)(113, 119, 163, 213, 205, 157)(120, 164, 215, 269, 216, 165)(124, 161, 211, 265, 220, 170)(133, 166, 217, 272, 222, 172)(143, 189, 243, 267, 234, 182)(149, 184, 236, 264, 249, 195)(155, 203, 257, 279, 253, 199)(156, 204, 258, 282, 256, 202)(158, 206, 260, 266, 212, 162)(159, 207, 261, 241, 262, 208)(169, 209, 263, 233, 268, 214)(176, 228, 284, 252, 280, 224)(179, 225, 281, 259, 287, 231)(185, 237, 270, 218, 274, 238)(188, 235, 289, 300, 290, 242)(191, 239, 273, 230, 286, 244)(194, 248, 293, 255, 283, 227)(196, 250, 276, 298, 285, 229)(200, 254, 277, 221, 271, 251)(232, 288, 296, 291, 297, 275)(247, 292, 299, 294, 295, 278)
	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, 244)(192, 237)(193, 247)(195, 248)(197, 251)(198, 252)(201, 255)(204, 212)(205, 259)(206, 208)(210, 264)(213, 267)(215, 270)(216, 271)(217, 273)(219, 275)(220, 276)(222, 278)(223, 279)(226, 282)(228, 285)(231, 286)(234, 262)(236, 261)(238, 289)(240, 269)(242, 268)(243, 291)(245, 292)(246, 272)(249, 294)(250, 263)(253, 283)(254, 293)(256, 280)(257, 288)(258, 281)(260, 290)(265, 295)(266, 296)(274, 297)(277, 298)(284, 299)(287, 300)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E26.1498
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 50 e = 150 f = 50
	degree seq :: [ 6^50 ]

E26.1500 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = C2 x (((C5 x C5) : C3) : C2) (small group id <300, 27>)
Aut   = $<600, 154>$ (small group id <600, 154>)
|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^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1)^2, (T1 * T2 * T1 * T2^-1)^5 ]
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, 218, 175, 217, 180)(142, 181, 143, 176, 219, 177)(144, 182, 221, 178, 220, 183)(147, 186, 226, 184, 225, 187)(148, 188, 152, 185, 227, 189)(153, 192, 231, 190, 230, 193)(154, 194, 233, 191, 232, 195)(159, 200, 238, 196, 237, 201)(160, 202, 161, 197, 239, 198)(162, 203, 241, 199, 240, 204)(208, 247, 275, 245, 224, 248)(209, 249, 277, 246, 276, 250)(214, 254, 215, 251, 280, 252)(216, 255, 222, 253, 281, 256)(223, 258, 283, 257, 282, 259)(228, 262, 285, 260, 244, 263)(229, 264, 287, 261, 286, 265)(234, 269, 235, 266, 290, 267)(236, 270, 242, 268, 291, 271)(243, 273, 293, 272, 292, 274)(278, 297, 279, 295, 284, 296)(288, 300, 289, 298, 294, 299)(301, 302)(303, 307)(304, 309)(305, 311)(306, 313)(308, 317)(310, 321)(312, 324)(314, 328)(315, 329)(316, 331)(318, 325)(319, 335)(320, 336)(322, 337)(323, 339)(326, 343)(327, 344)(330, 347)(332, 350)(333, 351)(334, 352)(338, 359)(340, 362)(341, 363)(342, 364)(345, 368)(346, 370)(348, 374)(349, 375)(353, 380)(354, 381)(355, 382)(356, 357)(358, 384)(360, 388)(361, 389)(365, 394)(366, 395)(367, 396)(369, 397)(371, 393)(372, 400)(373, 401)(376, 405)(377, 406)(378, 407)(379, 385)(383, 412)(386, 415)(387, 416)(390, 420)(391, 421)(392, 422)(398, 429)(399, 430)(402, 434)(403, 435)(404, 436)(408, 441)(409, 442)(410, 443)(411, 444)(413, 447)(414, 448)(417, 452)(418, 453)(419, 454)(423, 459)(424, 460)(425, 461)(426, 462)(427, 463)(428, 464)(431, 468)(432, 469)(433, 470)(437, 475)(438, 476)(439, 477)(440, 478)(445, 484)(446, 485)(449, 489)(450, 490)(451, 491)(455, 496)(456, 497)(457, 498)(458, 499)(465, 504)(466, 508)(467, 509)(471, 492)(472, 514)(473, 515)(474, 516)(479, 522)(480, 501)(481, 523)(482, 524)(483, 486)(487, 528)(488, 529)(493, 534)(494, 535)(495, 536)(500, 542)(502, 543)(503, 544)(505, 541)(506, 545)(507, 546)(510, 530)(511, 551)(512, 552)(513, 553)(517, 556)(518, 538)(519, 557)(520, 547)(521, 525)(526, 560)(527, 561)(531, 566)(532, 567)(533, 568)(537, 571)(539, 572)(540, 562)(548, 578)(549, 579)(550, 569)(554, 565)(555, 573)(558, 570)(559, 584)(563, 588)(564, 589)(574, 594)(575, 595)(576, 596)(577, 590)(580, 587)(581, 592)(582, 591)(583, 597)(585, 598)(586, 599)(593, 600)
	L = (1, 301)(2, 302)(3, 303)(4, 304)(5, 305)(6, 306)(7, 307)(8, 308)(9, 309)(10, 310)(11, 311)(12, 312)(13, 313)(14, 314)(15, 315)(16, 316)(17, 317)(18, 318)(19, 319)(20, 320)(21, 321)(22, 322)(23, 323)(24, 324)(25, 325)(26, 326)(27, 327)(28, 328)(29, 329)(30, 330)(31, 331)(32, 332)(33, 333)(34, 334)(35, 335)(36, 336)(37, 337)(38, 338)(39, 339)(40, 340)(41, 341)(42, 342)(43, 343)(44, 344)(45, 345)(46, 346)(47, 347)(48, 348)(49, 349)(50, 350)(51, 351)(52, 352)(53, 353)(54, 354)(55, 355)(56, 356)(57, 357)(58, 358)(59, 359)(60, 360)(61, 361)(62, 362)(63, 363)(64, 364)(65, 365)(66, 366)(67, 367)(68, 368)(69, 369)(70, 370)(71, 371)(72, 372)(73, 373)(74, 374)(75, 375)(76, 376)(77, 377)(78, 378)(79, 379)(80, 380)(81, 381)(82, 382)(83, 383)(84, 384)(85, 385)(86, 386)(87, 387)(88, 388)(89, 389)(90, 390)(91, 391)(92, 392)(93, 393)(94, 394)(95, 395)(96, 396)(97, 397)(98, 398)(99, 399)(100, 400)(101, 401)(102, 402)(103, 403)(104, 404)(105, 405)(106, 406)(107, 407)(108, 408)(109, 409)(110, 410)(111, 411)(112, 412)(113, 413)(114, 414)(115, 415)(116, 416)(117, 417)(118, 418)(119, 419)(120, 420)(121, 421)(122, 422)(123, 423)(124, 424)(125, 425)(126, 426)(127, 427)(128, 428)(129, 429)(130, 430)(131, 431)(132, 432)(133, 433)(134, 434)(135, 435)(136, 436)(137, 437)(138, 438)(139, 439)(140, 440)(141, 441)(142, 442)(143, 443)(144, 444)(145, 445)(146, 446)(147, 447)(148, 448)(149, 449)(150, 450)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E26.1504
Transitivity :: ET+
Graph:: simple bipartite
	v = 200 e = 300 f = 50
	degree seq :: [ 2^150, 6^50 ]

E26.1501 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = C2 x (((C5 x C5) : C3) : C2) (small group id <300, 27>)
Aut   = $<600, 154>$ (small group id <600, 154>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^-2 * T1 * T2^-1 * T1)^2, T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2, (T2^-1 * T1)^6, (T2 * T1 * T2^-2 * T1 * T2 * T1)^2, T2^-2 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^-2 * T1 * T2 * T1, T2^2 * T1 * T2^-1 * T1 * T2^2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^2 * T1, (T2 * T1 * T2^-1 * T1)^5 ]
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, 247, 193, 147)(107, 151, 198, 207, 159, 116)(111, 155, 203, 209, 160, 117)(113, 150, 196, 250, 205, 157)(125, 168, 218, 275, 219, 169)(135, 172, 222, 278, 231, 179)(139, 184, 236, 263, 237, 185)(143, 182, 234, 268, 241, 189)(144, 186, 238, 290, 243, 190)(152, 199, 253, 280, 254, 200)(156, 204, 258, 294, 249, 195)(158, 206, 260, 283, 251, 197)(161, 210, 264, 235, 265, 211)(165, 208, 262, 240, 269, 215)(166, 212, 266, 296, 271, 216)(174, 225, 281, 252, 282, 226)(178, 230, 286, 300, 277, 221)(180, 232, 288, 255, 279, 223)(187, 233, 289, 259, 291, 239)(191, 244, 276, 220, 270, 245)(194, 242, 273, 217, 272, 248)(202, 256, 293, 246, 292, 257)(213, 261, 295, 287, 297, 267)(228, 284, 299, 274, 298, 285)(301, 302)(303, 307)(304, 309)(305, 311)(306, 313)(308, 317)(310, 321)(312, 324)(314, 328)(315, 329)(316, 331)(318, 335)(319, 336)(320, 338)(322, 342)(323, 344)(325, 348)(326, 349)(327, 351)(330, 354)(332, 360)(333, 352)(334, 362)(337, 368)(339, 346)(340, 371)(341, 343)(345, 379)(347, 381)(350, 387)(353, 390)(355, 374)(356, 385)(357, 394)(358, 395)(359, 389)(361, 399)(363, 403)(364, 397)(365, 405)(366, 375)(367, 407)(369, 411)(370, 378)(372, 413)(373, 409)(376, 416)(377, 417)(380, 421)(382, 425)(383, 419)(384, 427)(386, 429)(388, 433)(391, 435)(392, 431)(393, 424)(396, 439)(398, 432)(400, 443)(401, 444)(402, 415)(404, 447)(406, 450)(408, 452)(410, 420)(412, 456)(414, 458)(418, 461)(422, 465)(423, 466)(426, 469)(428, 472)(430, 474)(434, 478)(436, 480)(437, 477)(438, 482)(440, 486)(441, 487)(442, 484)(445, 491)(446, 485)(448, 494)(449, 495)(451, 497)(453, 500)(454, 502)(455, 459)(457, 499)(460, 508)(462, 512)(463, 513)(464, 510)(467, 517)(468, 511)(470, 520)(471, 521)(473, 523)(475, 526)(476, 528)(479, 525)(481, 533)(483, 535)(488, 540)(489, 538)(490, 542)(492, 546)(493, 544)(496, 545)(498, 552)(501, 555)(503, 557)(504, 548)(505, 559)(506, 549)(507, 561)(509, 563)(514, 568)(515, 566)(516, 570)(518, 574)(519, 572)(522, 573)(524, 580)(527, 583)(529, 585)(530, 576)(531, 587)(532, 577)(534, 562)(536, 564)(537, 567)(539, 565)(541, 592)(543, 586)(547, 578)(550, 575)(551, 579)(553, 584)(554, 582)(556, 581)(558, 571)(560, 589)(569, 598)(588, 595)(590, 597)(591, 596)(593, 600)(594, 599)
	L = (1, 301)(2, 302)(3, 303)(4, 304)(5, 305)(6, 306)(7, 307)(8, 308)(9, 309)(10, 310)(11, 311)(12, 312)(13, 313)(14, 314)(15, 315)(16, 316)(17, 317)(18, 318)(19, 319)(20, 320)(21, 321)(22, 322)(23, 323)(24, 324)(25, 325)(26, 326)(27, 327)(28, 328)(29, 329)(30, 330)(31, 331)(32, 332)(33, 333)(34, 334)(35, 335)(36, 336)(37, 337)(38, 338)(39, 339)(40, 340)(41, 341)(42, 342)(43, 343)(44, 344)(45, 345)(46, 346)(47, 347)(48, 348)(49, 349)(50, 350)(51, 351)(52, 352)(53, 353)(54, 354)(55, 355)(56, 356)(57, 357)(58, 358)(59, 359)(60, 360)(61, 361)(62, 362)(63, 363)(64, 364)(65, 365)(66, 366)(67, 367)(68, 368)(69, 369)(70, 370)(71, 371)(72, 372)(73, 373)(74, 374)(75, 375)(76, 376)(77, 377)(78, 378)(79, 379)(80, 380)(81, 381)(82, 382)(83, 383)(84, 384)(85, 385)(86, 386)(87, 387)(88, 388)(89, 389)(90, 390)(91, 391)(92, 392)(93, 393)(94, 394)(95, 395)(96, 396)(97, 397)(98, 398)(99, 399)(100, 400)(101, 401)(102, 402)(103, 403)(104, 404)(105, 405)(106, 406)(107, 407)(108, 408)(109, 409)(110, 410)(111, 411)(112, 412)(113, 413)(114, 414)(115, 415)(116, 416)(117, 417)(118, 418)(119, 419)(120, 420)(121, 421)(122, 422)(123, 423)(124, 424)(125, 425)(126, 426)(127, 427)(128, 428)(129, 429)(130, 430)(131, 431)(132, 432)(133, 433)(134, 434)(135, 435)(136, 436)(137, 437)(138, 438)(139, 439)(140, 440)(141, 441)(142, 442)(143, 443)(144, 444)(145, 445)(146, 446)(147, 447)(148, 448)(149, 449)(150, 450)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E26.1503
Transitivity :: ET+
Graph:: simple bipartite
	v = 200 e = 300 f = 50
	degree seq :: [ 2^150, 6^50 ]

E26.1502 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = C2 x (((C5 x C5) : C3) : C2) (small group id <300, 27>)
Aut   = $<600, 154>$ (small group id <600, 154>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^6, (T2^-1 * T1^2)^2, T2^6, T1 * T2^-1 * T1^-3 * T2 * T1^2, T2^2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-1 * T2^-2 * T1 * T2^-1 * T1 ]
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, 238, 183, 132)(94, 139, 191, 240, 184, 133)(99, 144, 196, 248, 194, 142)(100, 143, 195, 249, 197, 145)(111, 156, 211, 262, 212, 157)(117, 164, 220, 264, 213, 158)(120, 168, 224, 271, 222, 166)(121, 167, 223, 272, 225, 169)(124, 173, 229, 274, 227, 171)(125, 172, 228, 275, 230, 174)(135, 186, 242, 283, 243, 187)(138, 190, 221, 265, 244, 188)(146, 189, 245, 255, 205, 198)(147, 199, 250, 285, 251, 200)(152, 206, 257, 287, 252, 201)(160, 215, 266, 295, 267, 216)(163, 219, 177, 232, 268, 217)(170, 218, 269, 235, 180, 226)(176, 233, 277, 297, 276, 231)(181, 236, 279, 298, 280, 237)(192, 246, 193, 241, 278, 234)(202, 253, 288, 299, 289, 254)(207, 256, 290, 259, 209, 258)(210, 260, 291, 300, 292, 261)(239, 282, 247, 284, 286, 281)(263, 294, 270, 296, 273, 293)(301, 302, 306, 316, 313, 304)(303, 309, 323, 335, 318, 311)(305, 314, 331, 336, 320, 307)(308, 321, 312, 329, 338, 317)(310, 325, 351, 364, 348, 327)(315, 334, 343, 365, 361, 332)(319, 340, 371, 359, 333, 342)(322, 346, 369, 357, 378, 344)(324, 349, 328, 339, 370, 347)(326, 353, 390, 402, 387, 354)(330, 345, 368, 337, 366, 358)(341, 373, 413, 395, 410, 374)(350, 385, 405, 367, 404, 383)(352, 388, 355, 382, 425, 386)(356, 384, 424, 381, 408, 394)(360, 397, 417, 376, 363, 399)(362, 400, 409, 372, 411, 375)(377, 418, 452, 407, 380, 420)(379, 421, 396, 403, 447, 406)(389, 433, 472, 423, 471, 431)(391, 435, 392, 430, 481, 434)(393, 432, 480, 429, 474, 438)(398, 442, 456, 412, 458, 443)(401, 446, 464, 441, 493, 444)(414, 460, 415, 455, 510, 459)(416, 457, 509, 454, 445, 463)(419, 466, 499, 448, 501, 467)(422, 470, 506, 465, 521, 468)(426, 449, 502, 450, 428, 476)(427, 477, 439, 453, 507, 473)(436, 488, 536, 479, 535, 486)(437, 487, 541, 485, 537, 489)(440, 469, 505, 451, 500, 492)(461, 517, 560, 508, 559, 515)(462, 516, 565, 514, 561, 518)(475, 531, 556, 504, 554, 532)(478, 534, 553, 503, 555, 533)(482, 527, 573, 528, 484, 539)(483, 524, 490, 530, 557, 526)(491, 519, 497, 529, 558, 512)(494, 547, 495, 513, 563, 511)(496, 546, 551, 520, 498, 525)(522, 570, 523, 552, 586, 550)(538, 581, 587, 575, 596, 571)(540, 562, 593, 574, 549, 582)(542, 569, 592, 579, 544, 567)(543, 577, 545, 580, 588, 578)(548, 572, 594, 564, 585, 584)(566, 590, 576, 591, 568, 589)(583, 595, 599, 598, 600, 597)
	L = (1, 301)(2, 302)(3, 303)(4, 304)(5, 305)(6, 306)(7, 307)(8, 308)(9, 309)(10, 310)(11, 311)(12, 312)(13, 313)(14, 314)(15, 315)(16, 316)(17, 317)(18, 318)(19, 319)(20, 320)(21, 321)(22, 322)(23, 323)(24, 324)(25, 325)(26, 326)(27, 327)(28, 328)(29, 329)(30, 330)(31, 331)(32, 332)(33, 333)(34, 334)(35, 335)(36, 336)(37, 337)(38, 338)(39, 339)(40, 340)(41, 341)(42, 342)(43, 343)(44, 344)(45, 345)(46, 346)(47, 347)(48, 348)(49, 349)(50, 350)(51, 351)(52, 352)(53, 353)(54, 354)(55, 355)(56, 356)(57, 357)(58, 358)(59, 359)(60, 360)(61, 361)(62, 362)(63, 363)(64, 364)(65, 365)(66, 366)(67, 367)(68, 368)(69, 369)(70, 370)(71, 371)(72, 372)(73, 373)(74, 374)(75, 375)(76, 376)(77, 377)(78, 378)(79, 379)(80, 380)(81, 381)(82, 382)(83, 383)(84, 384)(85, 385)(86, 386)(87, 387)(88, 388)(89, 389)(90, 390)(91, 391)(92, 392)(93, 393)(94, 394)(95, 395)(96, 396)(97, 397)(98, 398)(99, 399)(100, 400)(101, 401)(102, 402)(103, 403)(104, 404)(105, 405)(106, 406)(107, 407)(108, 408)(109, 409)(110, 410)(111, 411)(112, 412)(113, 413)(114, 414)(115, 415)(116, 416)(117, 417)(118, 418)(119, 419)(120, 420)(121, 421)(122, 422)(123, 423)(124, 424)(125, 425)(126, 426)(127, 427)(128, 428)(129, 429)(130, 430)(131, 431)(132, 432)(133, 433)(134, 434)(135, 435)(136, 436)(137, 437)(138, 438)(139, 439)(140, 440)(141, 441)(142, 442)(143, 443)(144, 444)(145, 445)(146, 446)(147, 447)(148, 448)(149, 449)(150, 450)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)
	local type(s) :: { ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E26.1505
Transitivity :: ET+
Graph:: simple bipartite
	v = 100 e = 300 f = 150
	degree seq :: [ 6^100 ]

E26.1503 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = C2 x (((C5 x C5) : C3) : C2) (small group id <300, 27>)
Aut   = $<600, 154>$ (small group id <600, 154>)
|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^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1)^2, (T1 * T2 * T1 * T2^-1)^5 ]
Map::
	R = (1, 301, 3, 303, 8, 308, 18, 318, 10, 310, 4, 304)(2, 302, 5, 305, 12, 312, 25, 325, 14, 314, 6, 306)(7, 307, 15, 315, 30, 330, 21, 321, 32, 332, 16, 316)(9, 309, 19, 319, 34, 334, 17, 317, 33, 333, 20, 320)(11, 311, 22, 322, 38, 338, 28, 328, 40, 340, 23, 323)(13, 313, 26, 326, 42, 342, 24, 324, 41, 341, 27, 327)(29, 329, 45, 345, 69, 369, 50, 350, 71, 371, 46, 346)(31, 331, 48, 348, 73, 373, 47, 347, 72, 372, 49, 349)(35, 335, 53, 353, 77, 377, 51, 351, 76, 376, 54, 354)(36, 336, 55, 355, 79, 379, 52, 352, 78, 378, 56, 356)(37, 337, 57, 357, 83, 383, 62, 362, 85, 385, 58, 358)(39, 339, 60, 360, 87, 387, 59, 359, 86, 386, 61, 361)(43, 343, 65, 365, 91, 391, 63, 363, 90, 390, 66, 366)(44, 344, 67, 367, 93, 393, 64, 364, 92, 392, 68, 368)(70, 370, 98, 398, 128, 428, 97, 397, 127, 427, 99, 399)(74, 374, 102, 402, 132, 432, 100, 400, 131, 431, 103, 403)(75, 375, 104, 404, 80, 380, 101, 401, 133, 433, 105, 405)(81, 381, 108, 408, 138, 438, 106, 406, 137, 437, 109, 409)(82, 382, 110, 410, 140, 440, 107, 407, 139, 439, 111, 411)(84, 384, 113, 413, 146, 446, 112, 412, 145, 445, 114, 414)(88, 388, 117, 417, 150, 450, 115, 415, 149, 449, 118, 418)(89, 389, 119, 419, 94, 394, 116, 416, 151, 451, 120, 420)(95, 395, 123, 423, 156, 456, 121, 421, 155, 455, 124, 424)(96, 396, 125, 425, 158, 458, 122, 422, 157, 457, 126, 426)(129, 429, 165, 465, 206, 506, 163, 463, 205, 505, 166, 466)(130, 430, 167, 467, 134, 434, 164, 464, 207, 507, 168, 468)(135, 435, 171, 471, 211, 511, 169, 469, 210, 510, 172, 472)(136, 436, 173, 473, 213, 513, 170, 470, 212, 512, 174, 474)(141, 441, 179, 479, 218, 518, 175, 475, 217, 517, 180, 480)(142, 442, 181, 481, 143, 443, 176, 476, 219, 519, 177, 477)(144, 444, 182, 482, 221, 521, 178, 478, 220, 520, 183, 483)(147, 447, 186, 486, 226, 526, 184, 484, 225, 525, 187, 487)(148, 448, 188, 488, 152, 452, 185, 485, 227, 527, 189, 489)(153, 453, 192, 492, 231, 531, 190, 490, 230, 530, 193, 493)(154, 454, 194, 494, 233, 533, 191, 491, 232, 532, 195, 495)(159, 459, 200, 500, 238, 538, 196, 496, 237, 537, 201, 501)(160, 460, 202, 502, 161, 461, 197, 497, 239, 539, 198, 498)(162, 462, 203, 503, 241, 541, 199, 499, 240, 540, 204, 504)(208, 508, 247, 547, 275, 575, 245, 545, 224, 524, 248, 548)(209, 509, 249, 549, 277, 577, 246, 546, 276, 576, 250, 550)(214, 514, 254, 554, 215, 515, 251, 551, 280, 580, 252, 552)(216, 516, 255, 555, 222, 522, 253, 553, 281, 581, 256, 556)(223, 523, 258, 558, 283, 583, 257, 557, 282, 582, 259, 559)(228, 528, 262, 562, 285, 585, 260, 560, 244, 544, 263, 563)(229, 529, 264, 564, 287, 587, 261, 561, 286, 586, 265, 565)(234, 534, 269, 569, 235, 535, 266, 566, 290, 590, 267, 567)(236, 536, 270, 570, 242, 542, 268, 568, 291, 591, 271, 571)(243, 543, 273, 573, 293, 593, 272, 572, 292, 592, 274, 574)(278, 578, 297, 597, 279, 579, 295, 595, 284, 584, 296, 596)(288, 588, 300, 600, 289, 589, 298, 598, 294, 594, 299, 599)
	L = (1, 302)(2, 301)(3, 307)(4, 309)(5, 311)(6, 313)(7, 303)(8, 317)(9, 304)(10, 321)(11, 305)(12, 324)(13, 306)(14, 328)(15, 329)(16, 331)(17, 308)(18, 325)(19, 335)(20, 336)(21, 310)(22, 337)(23, 339)(24, 312)(25, 318)(26, 343)(27, 344)(28, 314)(29, 315)(30, 347)(31, 316)(32, 350)(33, 351)(34, 352)(35, 319)(36, 320)(37, 322)(38, 359)(39, 323)(40, 362)(41, 363)(42, 364)(43, 326)(44, 327)(45, 368)(46, 370)(47, 330)(48, 374)(49, 375)(50, 332)(51, 333)(52, 334)(53, 380)(54, 381)(55, 382)(56, 357)(57, 356)(58, 384)(59, 338)(60, 388)(61, 389)(62, 340)(63, 341)(64, 342)(65, 394)(66, 395)(67, 396)(68, 345)(69, 397)(70, 346)(71, 393)(72, 400)(73, 401)(74, 348)(75, 349)(76, 405)(77, 406)(78, 407)(79, 385)(80, 353)(81, 354)(82, 355)(83, 412)(84, 358)(85, 379)(86, 415)(87, 416)(88, 360)(89, 361)(90, 420)(91, 421)(92, 422)(93, 371)(94, 365)(95, 366)(96, 367)(97, 369)(98, 429)(99, 430)(100, 372)(101, 373)(102, 434)(103, 435)(104, 436)(105, 376)(106, 377)(107, 378)(108, 441)(109, 442)(110, 443)(111, 444)(112, 383)(113, 447)(114, 448)(115, 386)(116, 387)(117, 452)(118, 453)(119, 454)(120, 390)(121, 391)(122, 392)(123, 459)(124, 460)(125, 461)(126, 462)(127, 463)(128, 464)(129, 398)(130, 399)(131, 468)(132, 469)(133, 470)(134, 402)(135, 403)(136, 404)(137, 475)(138, 476)(139, 477)(140, 478)(141, 408)(142, 409)(143, 410)(144, 411)(145, 484)(146, 485)(147, 413)(148, 414)(149, 489)(150, 490)(151, 491)(152, 417)(153, 418)(154, 419)(155, 496)(156, 497)(157, 498)(158, 499)(159, 423)(160, 424)(161, 425)(162, 426)(163, 427)(164, 428)(165, 504)(166, 508)(167, 509)(168, 431)(169, 432)(170, 433)(171, 492)(172, 514)(173, 515)(174, 516)(175, 437)(176, 438)(177, 439)(178, 440)(179, 522)(180, 501)(181, 523)(182, 524)(183, 486)(184, 445)(185, 446)(186, 483)(187, 528)(188, 529)(189, 449)(190, 450)(191, 451)(192, 471)(193, 534)(194, 535)(195, 536)(196, 455)(197, 456)(198, 457)(199, 458)(200, 542)(201, 480)(202, 543)(203, 544)(204, 465)(205, 541)(206, 545)(207, 546)(208, 466)(209, 467)(210, 530)(211, 551)(212, 552)(213, 553)(214, 472)(215, 473)(216, 474)(217, 556)(218, 538)(219, 557)(220, 547)(221, 525)(222, 479)(223, 481)(224, 482)(225, 521)(226, 560)(227, 561)(228, 487)(229, 488)(230, 510)(231, 566)(232, 567)(233, 568)(234, 493)(235, 494)(236, 495)(237, 571)(238, 518)(239, 572)(240, 562)(241, 505)(242, 500)(243, 502)(244, 503)(245, 506)(246, 507)(247, 520)(248, 578)(249, 579)(250, 569)(251, 511)(252, 512)(253, 513)(254, 565)(255, 573)(256, 517)(257, 519)(258, 570)(259, 584)(260, 526)(261, 527)(262, 540)(263, 588)(264, 589)(265, 554)(266, 531)(267, 532)(268, 533)(269, 550)(270, 558)(271, 537)(272, 539)(273, 555)(274, 594)(275, 595)(276, 596)(277, 590)(278, 548)(279, 549)(280, 587)(281, 592)(282, 591)(283, 597)(284, 559)(285, 598)(286, 599)(287, 580)(288, 563)(289, 564)(290, 577)(291, 582)(292, 581)(293, 600)(294, 574)(295, 575)(296, 576)(297, 583)(298, 585)(299, 586)(300, 593)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E26.1501
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 50 e = 300 f = 200
	degree seq :: [ 12^50 ]

E26.1504 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = C2 x (((C5 x C5) : C3) : C2) (small group id <300, 27>)
Aut   = $<600, 154>$ (small group id <600, 154>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^-2 * T1 * T2^-1 * T1)^2, T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2, (T2^-1 * T1)^6, (T2 * T1 * T2^-2 * T1 * T2 * T1)^2, T2^-2 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^-2 * T1 * T2 * T1, T2^2 * T1 * T2^-1 * T1 * T2^2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^2 * T1, (T2 * T1 * T2^-1 * T1)^5 ]
Map::
	R = (1, 301, 3, 303, 8, 308, 18, 318, 10, 310, 4, 304)(2, 302, 5, 305, 12, 312, 25, 325, 14, 314, 6, 306)(7, 307, 15, 315, 30, 330, 57, 357, 32, 332, 16, 316)(9, 309, 19, 319, 37, 337, 69, 369, 39, 339, 20, 320)(11, 311, 22, 322, 43, 343, 76, 376, 45, 345, 23, 323)(13, 313, 26, 326, 50, 350, 88, 388, 52, 352, 27, 327)(17, 317, 33, 333, 61, 361, 100, 400, 63, 363, 34, 334)(21, 321, 40, 340, 72, 372, 114, 414, 73, 373, 41, 341)(24, 324, 46, 346, 80, 380, 122, 422, 82, 382, 47, 347)(28, 328, 53, 353, 91, 391, 136, 436, 92, 392, 54, 354)(29, 329, 55, 355, 38, 338, 70, 370, 93, 393, 56, 356)(31, 331, 58, 358, 96, 396, 140, 440, 97, 397, 59, 359)(35, 335, 64, 364, 104, 404, 148, 448, 106, 406, 65, 365)(36, 336, 66, 366, 105, 405, 149, 449, 108, 408, 67, 367)(42, 342, 74, 374, 51, 351, 89, 389, 115, 415, 75, 375)(44, 344, 77, 377, 118, 418, 162, 462, 119, 419, 78, 378)(48, 348, 83, 383, 126, 426, 170, 470, 128, 428, 84, 384)(49, 349, 85, 385, 127, 427, 171, 471, 130, 430, 86, 386)(60, 360, 98, 398, 141, 441, 188, 488, 142, 442, 99, 399)(62, 362, 101, 401, 145, 445, 112, 412, 71, 371, 102, 402)(68, 368, 109, 409, 153, 453, 201, 501, 154, 454, 110, 410)(79, 379, 120, 420, 163, 463, 214, 514, 164, 464, 121, 421)(81, 381, 123, 423, 167, 467, 134, 434, 90, 390, 124, 424)(87, 387, 131, 431, 175, 475, 227, 527, 176, 476, 132, 432)(94, 394, 129, 429, 173, 473, 224, 524, 181, 481, 137, 437)(95, 395, 133, 433, 177, 477, 229, 529, 183, 483, 138, 438)(103, 403, 146, 446, 192, 492, 247, 547, 193, 493, 147, 447)(107, 407, 151, 451, 198, 498, 207, 507, 159, 459, 116, 416)(111, 411, 155, 455, 203, 503, 209, 509, 160, 460, 117, 417)(113, 413, 150, 450, 196, 496, 250, 550, 205, 505, 157, 457)(125, 425, 168, 468, 218, 518, 275, 575, 219, 519, 169, 469)(135, 435, 172, 472, 222, 522, 278, 578, 231, 531, 179, 479)(139, 439, 184, 484, 236, 536, 263, 563, 237, 537, 185, 485)(143, 443, 182, 482, 234, 534, 268, 568, 241, 541, 189, 489)(144, 444, 186, 486, 238, 538, 290, 590, 243, 543, 190, 490)(152, 452, 199, 499, 253, 553, 280, 580, 254, 554, 200, 500)(156, 456, 204, 504, 258, 558, 294, 594, 249, 549, 195, 495)(158, 458, 206, 506, 260, 560, 283, 583, 251, 551, 197, 497)(161, 461, 210, 510, 264, 564, 235, 535, 265, 565, 211, 511)(165, 465, 208, 508, 262, 562, 240, 540, 269, 569, 215, 515)(166, 466, 212, 512, 266, 566, 296, 596, 271, 571, 216, 516)(174, 474, 225, 525, 281, 581, 252, 552, 282, 582, 226, 526)(178, 478, 230, 530, 286, 586, 300, 600, 277, 577, 221, 521)(180, 480, 232, 532, 288, 588, 255, 555, 279, 579, 223, 523)(187, 487, 233, 533, 289, 589, 259, 559, 291, 591, 239, 539)(191, 491, 244, 544, 276, 576, 220, 520, 270, 570, 245, 545)(194, 494, 242, 542, 273, 573, 217, 517, 272, 572, 248, 548)(202, 502, 256, 556, 293, 593, 246, 546, 292, 592, 257, 557)(213, 513, 261, 561, 295, 595, 287, 587, 297, 597, 267, 567)(228, 528, 284, 584, 299, 599, 274, 574, 298, 598, 285, 585)
	L = (1, 302)(2, 301)(3, 307)(4, 309)(5, 311)(6, 313)(7, 303)(8, 317)(9, 304)(10, 321)(11, 305)(12, 324)(13, 306)(14, 328)(15, 329)(16, 331)(17, 308)(18, 335)(19, 336)(20, 338)(21, 310)(22, 342)(23, 344)(24, 312)(25, 348)(26, 349)(27, 351)(28, 314)(29, 315)(30, 354)(31, 316)(32, 360)(33, 352)(34, 362)(35, 318)(36, 319)(37, 368)(38, 320)(39, 346)(40, 371)(41, 343)(42, 322)(43, 341)(44, 323)(45, 379)(46, 339)(47, 381)(48, 325)(49, 326)(50, 387)(51, 327)(52, 333)(53, 390)(54, 330)(55, 374)(56, 385)(57, 394)(58, 395)(59, 389)(60, 332)(61, 399)(62, 334)(63, 403)(64, 397)(65, 405)(66, 375)(67, 407)(68, 337)(69, 411)(70, 378)(71, 340)(72, 413)(73, 409)(74, 355)(75, 366)(76, 416)(77, 417)(78, 370)(79, 345)(80, 421)(81, 347)(82, 425)(83, 419)(84, 427)(85, 356)(86, 429)(87, 350)(88, 433)(89, 359)(90, 353)(91, 435)(92, 431)(93, 424)(94, 357)(95, 358)(96, 439)(97, 364)(98, 432)(99, 361)(100, 443)(101, 444)(102, 415)(103, 363)(104, 447)(105, 365)(106, 450)(107, 367)(108, 452)(109, 373)(110, 420)(111, 369)(112, 456)(113, 372)(114, 458)(115, 402)(116, 376)(117, 377)(118, 461)(119, 383)(120, 410)(121, 380)(122, 465)(123, 466)(124, 393)(125, 382)(126, 469)(127, 384)(128, 472)(129, 386)(130, 474)(131, 392)(132, 398)(133, 388)(134, 478)(135, 391)(136, 480)(137, 477)(138, 482)(139, 396)(140, 486)(141, 487)(142, 484)(143, 400)(144, 401)(145, 491)(146, 485)(147, 404)(148, 494)(149, 495)(150, 406)(151, 497)(152, 408)(153, 500)(154, 502)(155, 459)(156, 412)(157, 499)(158, 414)(159, 455)(160, 508)(161, 418)(162, 512)(163, 513)(164, 510)(165, 422)(166, 423)(167, 517)(168, 511)(169, 426)(170, 520)(171, 521)(172, 428)(173, 523)(174, 430)(175, 526)(176, 528)(177, 437)(178, 434)(179, 525)(180, 436)(181, 533)(182, 438)(183, 535)(184, 442)(185, 446)(186, 440)(187, 441)(188, 540)(189, 538)(190, 542)(191, 445)(192, 546)(193, 544)(194, 448)(195, 449)(196, 545)(197, 451)(198, 552)(199, 457)(200, 453)(201, 555)(202, 454)(203, 557)(204, 548)(205, 559)(206, 549)(207, 561)(208, 460)(209, 563)(210, 464)(211, 468)(212, 462)(213, 463)(214, 568)(215, 566)(216, 570)(217, 467)(218, 574)(219, 572)(220, 470)(221, 471)(222, 573)(223, 473)(224, 580)(225, 479)(226, 475)(227, 583)(228, 476)(229, 585)(230, 576)(231, 587)(232, 577)(233, 481)(234, 562)(235, 483)(236, 564)(237, 567)(238, 489)(239, 565)(240, 488)(241, 592)(242, 490)(243, 586)(244, 493)(245, 496)(246, 492)(247, 578)(248, 504)(249, 506)(250, 575)(251, 579)(252, 498)(253, 584)(254, 582)(255, 501)(256, 581)(257, 503)(258, 571)(259, 505)(260, 589)(261, 507)(262, 534)(263, 509)(264, 536)(265, 539)(266, 515)(267, 537)(268, 514)(269, 598)(270, 516)(271, 558)(272, 519)(273, 522)(274, 518)(275, 550)(276, 530)(277, 532)(278, 547)(279, 551)(280, 524)(281, 556)(282, 554)(283, 527)(284, 553)(285, 529)(286, 543)(287, 531)(288, 595)(289, 560)(290, 597)(291, 596)(292, 541)(293, 600)(294, 599)(295, 588)(296, 591)(297, 590)(298, 569)(299, 594)(300, 593)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E26.1500
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 50 e = 300 f = 200
	degree seq :: [ 12^50 ]

E26.1505 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = C2 x (((C5 x C5) : C3) : C2) (small group id <300, 27>)
Aut   = $<600, 154>$ (small group id <600, 154>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, T1^2 * T2 * T1^-3 * T2 * T1, (T2 * T1^-1)^6, (T2 * T1 * T2 * T1^-1)^5 ]
Map:: polytopal non-degenerate
	R = (1, 301, 3, 303)(2, 302, 6, 306)(4, 304, 9, 309)(5, 305, 12, 312)(7, 307, 16, 316)(8, 308, 17, 317)(10, 310, 21, 321)(11, 311, 22, 322)(13, 313, 26, 326)(14, 314, 27, 327)(15, 315, 29, 329)(18, 318, 34, 334)(19, 319, 35, 335)(20, 320, 36, 336)(23, 323, 37, 337)(24, 324, 38, 338)(25, 325, 39, 339)(28, 328, 44, 344)(30, 330, 48, 348)(31, 331, 49, 349)(32, 332, 51, 351)(33, 333, 52, 352)(40, 340, 64, 364)(41, 341, 65, 365)(42, 342, 67, 367)(43, 343, 68, 368)(45, 345, 69, 369)(46, 346, 70, 370)(47, 347, 71, 371)(50, 350, 76, 376)(53, 353, 80, 380)(54, 354, 81, 381)(55, 355, 82, 382)(56, 356, 72, 372)(57, 357, 83, 383)(58, 358, 84, 384)(59, 359, 85, 385)(60, 360, 86, 386)(61, 361, 87, 387)(62, 362, 88, 388)(63, 363, 89, 389)(66, 366, 93, 393)(73, 373, 102, 402)(74, 374, 103, 403)(75, 375, 104, 404)(77, 377, 105, 405)(78, 378, 106, 406)(79, 379, 107, 407)(90, 390, 121, 421)(91, 391, 122, 422)(92, 392, 123, 423)(94, 394, 124, 424)(95, 395, 125, 425)(96, 396, 126, 426)(97, 397, 127, 427)(98, 398, 128, 428)(99, 399, 129, 429)(100, 400, 130, 430)(101, 401, 131, 431)(108, 408, 141, 441)(109, 409, 142, 442)(110, 410, 143, 443)(111, 411, 144, 444)(112, 412, 145, 445)(113, 413, 146, 446)(114, 414, 147, 447)(115, 415, 148, 448)(116, 416, 149, 449)(117, 417, 150, 450)(118, 418, 151, 451)(119, 419, 152, 452)(120, 420, 153, 453)(132, 432, 170, 470)(133, 433, 171, 471)(134, 434, 172, 472)(135, 435, 173, 473)(136, 436, 174, 474)(137, 437, 175, 475)(138, 438, 176, 476)(139, 439, 177, 477)(140, 440, 178, 478)(154, 454, 196, 496)(155, 455, 197, 497)(156, 456, 198, 498)(157, 457, 199, 499)(158, 458, 200, 500)(159, 459, 201, 501)(160, 460, 202, 502)(161, 461, 203, 503)(162, 462, 204, 504)(163, 463, 205, 505)(164, 464, 206, 506)(165, 465, 207, 507)(166, 466, 208, 508)(167, 467, 209, 509)(168, 468, 210, 510)(169, 469, 211, 511)(179, 479, 222, 522)(180, 480, 219, 519)(181, 481, 223, 523)(182, 482, 224, 524)(183, 483, 212, 512)(184, 484, 225, 525)(185, 485, 226, 526)(186, 486, 227, 527)(187, 487, 228, 528)(188, 488, 229, 529)(189, 489, 230, 530)(190, 490, 231, 531)(191, 491, 232, 532)(192, 492, 233, 533)(193, 493, 234, 534)(194, 494, 235, 535)(195, 495, 236, 536)(213, 513, 250, 550)(214, 514, 251, 551)(215, 515, 252, 552)(216, 516, 253, 553)(217, 517, 254, 554)(218, 518, 255, 555)(220, 520, 256, 556)(221, 521, 257, 557)(237, 537, 267, 567)(238, 538, 268, 568)(239, 539, 269, 569)(240, 540, 270, 570)(241, 541, 271, 571)(242, 542, 272, 572)(243, 543, 273, 573)(244, 544, 274, 574)(245, 545, 275, 575)(246, 546, 276, 576)(247, 547, 277, 577)(248, 548, 278, 578)(249, 549, 279, 579)(258, 558, 282, 582)(259, 559, 284, 584)(260, 560, 285, 585)(261, 561, 286, 586)(262, 562, 287, 587)(263, 563, 288, 588)(264, 564, 289, 589)(265, 565, 290, 590)(266, 566, 291, 591)(280, 580, 295, 595)(281, 581, 296, 596)(283, 583, 297, 597)(292, 592, 298, 598)(293, 593, 299, 599)(294, 594, 300, 600)
	L = (1, 302)(2, 305)(3, 307)(4, 301)(5, 311)(6, 313)(7, 315)(8, 303)(9, 319)(10, 304)(11, 310)(12, 323)(13, 325)(14, 306)(15, 322)(16, 330)(17, 332)(18, 308)(19, 324)(20, 309)(21, 328)(22, 318)(23, 320)(24, 312)(25, 321)(26, 340)(27, 342)(28, 314)(29, 345)(30, 347)(31, 316)(32, 346)(33, 317)(34, 350)(35, 353)(36, 355)(37, 357)(38, 359)(39, 361)(40, 363)(41, 326)(42, 362)(43, 327)(44, 366)(45, 333)(46, 329)(47, 334)(48, 372)(49, 374)(50, 331)(51, 377)(52, 379)(53, 358)(54, 335)(55, 360)(56, 336)(57, 354)(58, 337)(59, 356)(60, 338)(61, 343)(62, 339)(63, 344)(64, 352)(65, 391)(66, 341)(67, 394)(68, 396)(69, 397)(70, 390)(71, 399)(72, 401)(73, 348)(74, 400)(75, 349)(76, 386)(77, 398)(78, 351)(79, 393)(80, 388)(81, 408)(82, 410)(83, 368)(84, 413)(85, 415)(86, 373)(87, 417)(88, 412)(89, 419)(90, 364)(91, 420)(92, 365)(93, 370)(94, 418)(95, 367)(96, 380)(97, 378)(98, 369)(99, 375)(100, 371)(101, 376)(102, 432)(103, 434)(104, 436)(105, 430)(106, 437)(107, 439)(108, 414)(109, 381)(110, 416)(111, 382)(112, 383)(113, 409)(114, 384)(115, 411)(116, 385)(117, 395)(118, 387)(119, 392)(120, 389)(121, 454)(122, 456)(123, 458)(124, 453)(125, 459)(126, 461)(127, 404)(128, 464)(129, 466)(130, 463)(131, 468)(132, 469)(133, 402)(134, 467)(135, 403)(136, 405)(137, 465)(138, 406)(139, 455)(140, 407)(141, 479)(142, 481)(143, 447)(144, 482)(145, 484)(146, 486)(147, 488)(148, 442)(149, 489)(150, 423)(151, 492)(152, 494)(153, 491)(154, 440)(155, 421)(156, 495)(157, 422)(158, 424)(159, 493)(160, 425)(161, 485)(162, 426)(163, 427)(164, 438)(165, 428)(166, 435)(167, 429)(168, 433)(169, 431)(170, 512)(171, 514)(172, 511)(173, 501)(174, 516)(175, 518)(176, 520)(177, 507)(178, 521)(179, 487)(180, 441)(181, 443)(182, 490)(183, 444)(184, 462)(185, 445)(186, 480)(187, 446)(188, 448)(189, 483)(190, 449)(191, 450)(192, 460)(193, 451)(194, 457)(195, 452)(196, 476)(197, 538)(198, 478)(199, 530)(200, 540)(201, 542)(202, 543)(203, 534)(204, 544)(205, 545)(206, 547)(207, 537)(208, 471)(209, 533)(210, 531)(211, 548)(212, 549)(213, 470)(214, 472)(215, 473)(216, 546)(217, 474)(218, 528)(219, 475)(220, 477)(221, 535)(222, 526)(223, 558)(224, 539)(225, 502)(226, 561)(227, 504)(228, 506)(229, 562)(230, 564)(231, 513)(232, 565)(233, 515)(234, 560)(235, 497)(236, 524)(237, 496)(238, 498)(239, 499)(240, 566)(241, 500)(242, 509)(243, 503)(244, 522)(245, 517)(246, 505)(247, 519)(248, 508)(249, 510)(250, 568)(251, 581)(252, 571)(253, 572)(254, 582)(255, 576)(256, 574)(257, 580)(258, 563)(259, 523)(260, 525)(261, 527)(262, 559)(263, 529)(264, 536)(265, 541)(266, 532)(267, 586)(268, 593)(269, 588)(270, 589)(271, 553)(272, 591)(273, 551)(274, 592)(275, 552)(276, 587)(277, 554)(278, 594)(279, 557)(280, 550)(281, 585)(282, 555)(283, 556)(284, 590)(285, 578)(286, 583)(287, 577)(288, 570)(289, 584)(290, 569)(291, 575)(292, 567)(293, 579)(294, 573)(295, 598)(296, 599)(297, 600)(298, 596)(299, 597)(300, 595)
	local type(s) :: { ( 6^4 ) }
Outer automorphisms :: reflexible
Dual of E26.1502
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 150 e = 300 f = 100
	degree seq :: [ 4^150 ]

E26.1506 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x (((C5 x C5) : C3) : C2) (small group id <300, 27>)
Aut   = $<600, 154>$ (small group id <600, 154>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^6, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-2)^2, (Y3 * Y2^-1)^6, (Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1)^2, (Y1 * Y2 * Y1 * Y2^-1)^5 ]
Map::
	R = (1, 301, 2, 302)(3, 303, 7, 307)(4, 304, 9, 309)(5, 305, 11, 311)(6, 306, 13, 313)(8, 308, 17, 317)(10, 310, 21, 321)(12, 312, 24, 324)(14, 314, 28, 328)(15, 315, 29, 329)(16, 316, 31, 331)(18, 318, 25, 325)(19, 319, 35, 335)(20, 320, 36, 336)(22, 322, 37, 337)(23, 323, 39, 339)(26, 326, 43, 343)(27, 327, 44, 344)(30, 330, 47, 347)(32, 332, 50, 350)(33, 333, 51, 351)(34, 334, 52, 352)(38, 338, 59, 359)(40, 340, 62, 362)(41, 341, 63, 363)(42, 342, 64, 364)(45, 345, 68, 368)(46, 346, 70, 370)(48, 348, 74, 374)(49, 349, 75, 375)(53, 353, 80, 380)(54, 354, 81, 381)(55, 355, 82, 382)(56, 356, 57, 357)(58, 358, 84, 384)(60, 360, 88, 388)(61, 361, 89, 389)(65, 365, 94, 394)(66, 366, 95, 395)(67, 367, 96, 396)(69, 369, 97, 397)(71, 371, 93, 393)(72, 372, 100, 400)(73, 373, 101, 401)(76, 376, 105, 405)(77, 377, 106, 406)(78, 378, 107, 407)(79, 379, 85, 385)(83, 383, 112, 412)(86, 386, 115, 415)(87, 387, 116, 416)(90, 390, 120, 420)(91, 391, 121, 421)(92, 392, 122, 422)(98, 398, 129, 429)(99, 399, 130, 430)(102, 402, 134, 434)(103, 403, 135, 435)(104, 404, 136, 436)(108, 408, 141, 441)(109, 409, 142, 442)(110, 410, 143, 443)(111, 411, 144, 444)(113, 413, 147, 447)(114, 414, 148, 448)(117, 417, 152, 452)(118, 418, 153, 453)(119, 419, 154, 454)(123, 423, 159, 459)(124, 424, 160, 460)(125, 425, 161, 461)(126, 426, 162, 462)(127, 427, 163, 463)(128, 428, 164, 464)(131, 431, 168, 468)(132, 432, 169, 469)(133, 433, 170, 470)(137, 437, 175, 475)(138, 438, 176, 476)(139, 439, 177, 477)(140, 440, 178, 478)(145, 445, 184, 484)(146, 446, 185, 485)(149, 449, 189, 489)(150, 450, 190, 490)(151, 451, 191, 491)(155, 455, 196, 496)(156, 456, 197, 497)(157, 457, 198, 498)(158, 458, 199, 499)(165, 465, 204, 504)(166, 466, 208, 508)(167, 467, 209, 509)(171, 471, 192, 492)(172, 472, 214, 514)(173, 473, 215, 515)(174, 474, 216, 516)(179, 479, 222, 522)(180, 480, 201, 501)(181, 481, 223, 523)(182, 482, 224, 524)(183, 483, 186, 486)(187, 487, 228, 528)(188, 488, 229, 529)(193, 493, 234, 534)(194, 494, 235, 535)(195, 495, 236, 536)(200, 500, 242, 542)(202, 502, 243, 543)(203, 503, 244, 544)(205, 505, 241, 541)(206, 506, 245, 545)(207, 507, 246, 546)(210, 510, 230, 530)(211, 511, 251, 551)(212, 512, 252, 552)(213, 513, 253, 553)(217, 517, 256, 556)(218, 518, 238, 538)(219, 519, 257, 557)(220, 520, 247, 547)(221, 521, 225, 525)(226, 526, 260, 560)(227, 527, 261, 561)(231, 531, 266, 566)(232, 532, 267, 567)(233, 533, 268, 568)(237, 537, 271, 571)(239, 539, 272, 572)(240, 540, 262, 562)(248, 548, 278, 578)(249, 549, 279, 579)(250, 550, 269, 569)(254, 554, 265, 565)(255, 555, 273, 573)(258, 558, 270, 570)(259, 559, 284, 584)(263, 563, 288, 588)(264, 564, 289, 589)(274, 574, 294, 594)(275, 575, 295, 595)(276, 576, 296, 596)(277, 577, 290, 590)(280, 580, 287, 587)(281, 581, 292, 592)(282, 582, 291, 591)(283, 583, 297, 597)(285, 585, 298, 598)(286, 586, 299, 599)(293, 593, 300, 600)(601, 901, 603, 903, 608, 908, 618, 918, 610, 910, 604, 904)(602, 902, 605, 905, 612, 912, 625, 925, 614, 914, 606, 906)(607, 907, 615, 915, 630, 930, 621, 921, 632, 932, 616, 916)(609, 909, 619, 919, 634, 934, 617, 917, 633, 933, 620, 920)(611, 911, 622, 922, 638, 938, 628, 928, 640, 940, 623, 923)(613, 913, 626, 926, 642, 942, 624, 924, 641, 941, 627, 927)(629, 929, 645, 945, 669, 969, 650, 950, 671, 971, 646, 946)(631, 931, 648, 948, 673, 973, 647, 947, 672, 972, 649, 949)(635, 935, 653, 953, 677, 977, 651, 951, 676, 976, 654, 954)(636, 936, 655, 955, 679, 979, 652, 952, 678, 978, 656, 956)(637, 937, 657, 957, 683, 983, 662, 962, 685, 985, 658, 958)(639, 939, 660, 960, 687, 987, 659, 959, 686, 986, 661, 961)(643, 943, 665, 965, 691, 991, 663, 963, 690, 990, 666, 966)(644, 944, 667, 967, 693, 993, 664, 964, 692, 992, 668, 968)(670, 970, 698, 998, 728, 1028, 697, 997, 727, 1027, 699, 999)(674, 974, 702, 1002, 732, 1032, 700, 1000, 731, 1031, 703, 1003)(675, 975, 704, 1004, 680, 980, 701, 1001, 733, 1033, 705, 1005)(681, 981, 708, 1008, 738, 1038, 706, 1006, 737, 1037, 709, 1009)(682, 982, 710, 1010, 740, 1040, 707, 1007, 739, 1039, 711, 1011)(684, 984, 713, 1013, 746, 1046, 712, 1012, 745, 1045, 714, 1014)(688, 988, 717, 1017, 750, 1050, 715, 1015, 749, 1049, 718, 1018)(689, 989, 719, 1019, 694, 994, 716, 1016, 751, 1051, 720, 1020)(695, 995, 723, 1023, 756, 1056, 721, 1021, 755, 1055, 724, 1024)(696, 996, 725, 1025, 758, 1058, 722, 1022, 757, 1057, 726, 1026)(729, 1029, 765, 1065, 806, 1106, 763, 1063, 805, 1105, 766, 1066)(730, 1030, 767, 1067, 734, 1034, 764, 1064, 807, 1107, 768, 1068)(735, 1035, 771, 1071, 811, 1111, 769, 1069, 810, 1110, 772, 1072)(736, 1036, 773, 1073, 813, 1113, 770, 1070, 812, 1112, 774, 1074)(741, 1041, 779, 1079, 818, 1118, 775, 1075, 817, 1117, 780, 1080)(742, 1042, 781, 1081, 743, 1043, 776, 1076, 819, 1119, 777, 1077)(744, 1044, 782, 1082, 821, 1121, 778, 1078, 820, 1120, 783, 1083)(747, 1047, 786, 1086, 826, 1126, 784, 1084, 825, 1125, 787, 1087)(748, 1048, 788, 1088, 752, 1052, 785, 1085, 827, 1127, 789, 1089)(753, 1053, 792, 1092, 831, 1131, 790, 1090, 830, 1130, 793, 1093)(754, 1054, 794, 1094, 833, 1133, 791, 1091, 832, 1132, 795, 1095)(759, 1059, 800, 1100, 838, 1138, 796, 1096, 837, 1137, 801, 1101)(760, 1060, 802, 1102, 761, 1061, 797, 1097, 839, 1139, 798, 1098)(762, 1062, 803, 1103, 841, 1141, 799, 1099, 840, 1140, 804, 1104)(808, 1108, 847, 1147, 875, 1175, 845, 1145, 824, 1124, 848, 1148)(809, 1109, 849, 1149, 877, 1177, 846, 1146, 876, 1176, 850, 1150)(814, 1114, 854, 1154, 815, 1115, 851, 1151, 880, 1180, 852, 1152)(816, 1116, 855, 1155, 822, 1122, 853, 1153, 881, 1181, 856, 1156)(823, 1123, 858, 1158, 883, 1183, 857, 1157, 882, 1182, 859, 1159)(828, 1128, 862, 1162, 885, 1185, 860, 1160, 844, 1144, 863, 1163)(829, 1129, 864, 1164, 887, 1187, 861, 1161, 886, 1186, 865, 1165)(834, 1134, 869, 1169, 835, 1135, 866, 1166, 890, 1190, 867, 1167)(836, 1136, 870, 1170, 842, 1142, 868, 1168, 891, 1191, 871, 1171)(843, 1143, 873, 1173, 893, 1193, 872, 1172, 892, 1192, 874, 1174)(878, 1178, 897, 1197, 879, 1179, 895, 1195, 884, 1184, 896, 1196)(888, 1188, 900, 1200, 889, 1189, 898, 1198, 894, 1194, 899, 1199)
	L = (1, 602)(2, 601)(3, 607)(4, 609)(5, 611)(6, 613)(7, 603)(8, 617)(9, 604)(10, 621)(11, 605)(12, 624)(13, 606)(14, 628)(15, 629)(16, 631)(17, 608)(18, 625)(19, 635)(20, 636)(21, 610)(22, 637)(23, 639)(24, 612)(25, 618)(26, 643)(27, 644)(28, 614)(29, 615)(30, 647)(31, 616)(32, 650)(33, 651)(34, 652)(35, 619)(36, 620)(37, 622)(38, 659)(39, 623)(40, 662)(41, 663)(42, 664)(43, 626)(44, 627)(45, 668)(46, 670)(47, 630)(48, 674)(49, 675)(50, 632)(51, 633)(52, 634)(53, 680)(54, 681)(55, 682)(56, 657)(57, 656)(58, 684)(59, 638)(60, 688)(61, 689)(62, 640)(63, 641)(64, 642)(65, 694)(66, 695)(67, 696)(68, 645)(69, 697)(70, 646)(71, 693)(72, 700)(73, 701)(74, 648)(75, 649)(76, 705)(77, 706)(78, 707)(79, 685)(80, 653)(81, 654)(82, 655)(83, 712)(84, 658)(85, 679)(86, 715)(87, 716)(88, 660)(89, 661)(90, 720)(91, 721)(92, 722)(93, 671)(94, 665)(95, 666)(96, 667)(97, 669)(98, 729)(99, 730)(100, 672)(101, 673)(102, 734)(103, 735)(104, 736)(105, 676)(106, 677)(107, 678)(108, 741)(109, 742)(110, 743)(111, 744)(112, 683)(113, 747)(114, 748)(115, 686)(116, 687)(117, 752)(118, 753)(119, 754)(120, 690)(121, 691)(122, 692)(123, 759)(124, 760)(125, 761)(126, 762)(127, 763)(128, 764)(129, 698)(130, 699)(131, 768)(132, 769)(133, 770)(134, 702)(135, 703)(136, 704)(137, 775)(138, 776)(139, 777)(140, 778)(141, 708)(142, 709)(143, 710)(144, 711)(145, 784)(146, 785)(147, 713)(148, 714)(149, 789)(150, 790)(151, 791)(152, 717)(153, 718)(154, 719)(155, 796)(156, 797)(157, 798)(158, 799)(159, 723)(160, 724)(161, 725)(162, 726)(163, 727)(164, 728)(165, 804)(166, 808)(167, 809)(168, 731)(169, 732)(170, 733)(171, 792)(172, 814)(173, 815)(174, 816)(175, 737)(176, 738)(177, 739)(178, 740)(179, 822)(180, 801)(181, 823)(182, 824)(183, 786)(184, 745)(185, 746)(186, 783)(187, 828)(188, 829)(189, 749)(190, 750)(191, 751)(192, 771)(193, 834)(194, 835)(195, 836)(196, 755)(197, 756)(198, 757)(199, 758)(200, 842)(201, 780)(202, 843)(203, 844)(204, 765)(205, 841)(206, 845)(207, 846)(208, 766)(209, 767)(210, 830)(211, 851)(212, 852)(213, 853)(214, 772)(215, 773)(216, 774)(217, 856)(218, 838)(219, 857)(220, 847)(221, 825)(222, 779)(223, 781)(224, 782)(225, 821)(226, 860)(227, 861)(228, 787)(229, 788)(230, 810)(231, 866)(232, 867)(233, 868)(234, 793)(235, 794)(236, 795)(237, 871)(238, 818)(239, 872)(240, 862)(241, 805)(242, 800)(243, 802)(244, 803)(245, 806)(246, 807)(247, 820)(248, 878)(249, 879)(250, 869)(251, 811)(252, 812)(253, 813)(254, 865)(255, 873)(256, 817)(257, 819)(258, 870)(259, 884)(260, 826)(261, 827)(262, 840)(263, 888)(264, 889)(265, 854)(266, 831)(267, 832)(268, 833)(269, 850)(270, 858)(271, 837)(272, 839)(273, 855)(274, 894)(275, 895)(276, 896)(277, 890)(278, 848)(279, 849)(280, 887)(281, 892)(282, 891)(283, 897)(284, 859)(285, 898)(286, 899)(287, 880)(288, 863)(289, 864)(290, 877)(291, 882)(292, 881)(293, 900)(294, 874)(295, 875)(296, 876)(297, 883)(298, 885)(299, 886)(300, 893)(301, 901)(302, 902)(303, 903)(304, 904)(305, 905)(306, 906)(307, 907)(308, 908)(309, 909)(310, 910)(311, 911)(312, 912)(313, 913)(314, 914)(315, 915)(316, 916)(317, 917)(318, 918)(319, 919)(320, 920)(321, 921)(322, 922)(323, 923)(324, 924)(325, 925)(326, 926)(327, 927)(328, 928)(329, 929)(330, 930)(331, 931)(332, 932)(333, 933)(334, 934)(335, 935)(336, 936)(337, 937)(338, 938)(339, 939)(340, 940)(341, 941)(342, 942)(343, 943)(344, 944)(345, 945)(346, 946)(347, 947)(348, 948)(349, 949)(350, 950)(351, 951)(352, 952)(353, 953)(354, 954)(355, 955)(356, 956)(357, 957)(358, 958)(359, 959)(360, 960)(361, 961)(362, 962)(363, 963)(364, 964)(365, 965)(366, 966)(367, 967)(368, 968)(369, 969)(370, 970)(371, 971)(372, 972)(373, 973)(374, 974)(375, 975)(376, 976)(377, 977)(378, 978)(379, 979)(380, 980)(381, 981)(382, 982)(383, 983)(384, 984)(385, 985)(386, 986)(387, 987)(388, 988)(389, 989)(390, 990)(391, 991)(392, 992)(393, 993)(394, 994)(395, 995)(396, 996)(397, 997)(398, 998)(399, 999)(400, 1000)(401, 1001)(402, 1002)(403, 1003)(404, 1004)(405, 1005)(406, 1006)(407, 1007)(408, 1008)(409, 1009)(410, 1010)(411, 1011)(412, 1012)(413, 1013)(414, 1014)(415, 1015)(416, 1016)(417, 1017)(418, 1018)(419, 1019)(420, 1020)(421, 1021)(422, 1022)(423, 1023)(424, 1024)(425, 1025)(426, 1026)(427, 1027)(428, 1028)(429, 1029)(430, 1030)(431, 1031)(432, 1032)(433, 1033)(434, 1034)(435, 1035)(436, 1036)(437, 1037)(438, 1038)(439, 1039)(440, 1040)(441, 1041)(442, 1042)(443, 1043)(444, 1044)(445, 1045)(446, 1046)(447, 1047)(448, 1048)(449, 1049)(450, 1050)(451, 1051)(452, 1052)(453, 1053)(454, 1054)(455, 1055)(456, 1056)(457, 1057)(458, 1058)(459, 1059)(460, 1060)(461, 1061)(462, 1062)(463, 1063)(464, 1064)(465, 1065)(466, 1066)(467, 1067)(468, 1068)(469, 1069)(470, 1070)(471, 1071)(472, 1072)(473, 1073)(474, 1074)(475, 1075)(476, 1076)(477, 1077)(478, 1078)(479, 1079)(480, 1080)(481, 1081)(482, 1082)(483, 1083)(484, 1084)(485, 1085)(486, 1086)(487, 1087)(488, 1088)(489, 1089)(490, 1090)(491, 1091)(492, 1092)(493, 1093)(494, 1094)(495, 1095)(496, 1096)(497, 1097)(498, 1098)(499, 1099)(500, 1100)(501, 1101)(502, 1102)(503, 1103)(504, 1104)(505, 1105)(506, 1106)(507, 1107)(508, 1108)(509, 1109)(510, 1110)(511, 1111)(512, 1112)(513, 1113)(514, 1114)(515, 1115)(516, 1116)(517, 1117)(518, 1118)(519, 1119)(520, 1120)(521, 1121)(522, 1122)(523, 1123)(524, 1124)(525, 1125)(526, 1126)(527, 1127)(528, 1128)(529, 1129)(530, 1130)(531, 1131)(532, 1132)(533, 1133)(534, 1134)(535, 1135)(536, 1136)(537, 1137)(538, 1138)(539, 1139)(540, 1140)(541, 1141)(542, 1142)(543, 1143)(544, 1144)(545, 1145)(546, 1146)(547, 1147)(548, 1148)(549, 1149)(550, 1150)(551, 1151)(552, 1152)(553, 1153)(554, 1154)(555, 1155)(556, 1156)(557, 1157)(558, 1158)(559, 1159)(560, 1160)(561, 1161)(562, 1162)(563, 1163)(564, 1164)(565, 1165)(566, 1166)(567, 1167)(568, 1168)(569, 1169)(570, 1170)(571, 1171)(572, 1172)(573, 1173)(574, 1174)(575, 1175)(576, 1176)(577, 1177)(578, 1178)(579, 1179)(580, 1180)(581, 1181)(582, 1182)(583, 1183)(584, 1184)(585, 1185)(586, 1186)(587, 1187)(588, 1188)(589, 1189)(590, 1190)(591, 1191)(592, 1192)(593, 1193)(594, 1194)(595, 1195)(596, 1196)(597, 1197)(598, 1198)(599, 1199)(600, 1200)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E26.1511
Graph:: bipartite
	v = 200 e = 600 f = 350
	degree seq :: [ 4^150, 12^50 ]

E26.1507 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x (((C5 x C5) : C3) : C2) (small group id <300, 27>)
Aut   = $<600, 154>$ (small group id <600, 154>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6, Y2^-2 * Y1 * R * Y2^3 * R * Y1 * Y2^-1, (Y1 * Y2^2 * Y1 * Y2)^2, (Y3 * Y2^-1)^6, (Y2 * Y1)^6, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-3 * Y1, Y2^-1 * R * Y2^-3 * R * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1, (Y2 * Y1 * Y2^-2 * Y1 * Y2 * Y1)^2, Y2^2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^3 * R * Y2^3 * R * Y2^3 * Y1, Y2^2 * Y1 * Y2^-2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1, Y2^-2 * Y1 * Y2^3 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^-1 ]
Map::
	R = (1, 301, 2, 302)(3, 303, 7, 307)(4, 304, 9, 309)(5, 305, 11, 311)(6, 306, 13, 313)(8, 308, 17, 317)(10, 310, 21, 321)(12, 312, 24, 324)(14, 314, 28, 328)(15, 315, 29, 329)(16, 316, 31, 331)(18, 318, 35, 335)(19, 319, 36, 336)(20, 320, 38, 338)(22, 322, 42, 342)(23, 323, 44, 344)(25, 325, 48, 348)(26, 326, 49, 349)(27, 327, 51, 351)(30, 330, 54, 354)(32, 332, 60, 360)(33, 333, 52, 352)(34, 334, 62, 362)(37, 337, 68, 368)(39, 339, 46, 346)(40, 340, 71, 371)(41, 341, 43, 343)(45, 345, 79, 379)(47, 347, 81, 381)(50, 350, 87, 387)(53, 353, 90, 390)(55, 355, 74, 374)(56, 356, 85, 385)(57, 357, 94, 394)(58, 358, 95, 395)(59, 359, 89, 389)(61, 361, 99, 399)(63, 363, 103, 403)(64, 364, 97, 397)(65, 365, 105, 405)(66, 366, 75, 375)(67, 367, 107, 407)(69, 369, 111, 411)(70, 370, 78, 378)(72, 372, 113, 413)(73, 373, 109, 409)(76, 376, 116, 416)(77, 377, 117, 417)(80, 380, 121, 421)(82, 382, 125, 425)(83, 383, 119, 419)(84, 384, 127, 427)(86, 386, 129, 429)(88, 388, 133, 433)(91, 391, 135, 435)(92, 392, 131, 431)(93, 393, 124, 424)(96, 396, 139, 439)(98, 398, 132, 432)(100, 400, 143, 443)(101, 401, 144, 444)(102, 402, 115, 415)(104, 404, 147, 447)(106, 406, 150, 450)(108, 408, 152, 452)(110, 410, 120, 420)(112, 412, 156, 456)(114, 414, 158, 458)(118, 418, 161, 461)(122, 422, 165, 465)(123, 423, 166, 466)(126, 426, 169, 469)(128, 428, 172, 472)(130, 430, 174, 474)(134, 434, 178, 478)(136, 436, 180, 480)(137, 437, 177, 477)(138, 438, 182, 482)(140, 440, 186, 486)(141, 441, 187, 487)(142, 442, 184, 484)(145, 445, 191, 491)(146, 446, 185, 485)(148, 448, 194, 494)(149, 449, 195, 495)(151, 451, 197, 497)(153, 453, 200, 500)(154, 454, 202, 502)(155, 455, 159, 459)(157, 457, 199, 499)(160, 460, 208, 508)(162, 462, 212, 512)(163, 463, 213, 513)(164, 464, 210, 510)(167, 467, 217, 517)(168, 468, 211, 511)(170, 470, 220, 520)(171, 471, 221, 521)(173, 473, 223, 523)(175, 475, 226, 526)(176, 476, 228, 528)(179, 479, 225, 525)(181, 481, 233, 533)(183, 483, 235, 535)(188, 488, 240, 540)(189, 489, 238, 538)(190, 490, 242, 542)(192, 492, 246, 546)(193, 493, 244, 544)(196, 496, 245, 545)(198, 498, 252, 552)(201, 501, 255, 555)(203, 503, 257, 557)(204, 504, 248, 548)(205, 505, 259, 559)(206, 506, 249, 549)(207, 507, 261, 561)(209, 509, 263, 563)(214, 514, 268, 568)(215, 515, 266, 566)(216, 516, 270, 570)(218, 518, 274, 574)(219, 519, 272, 572)(222, 522, 273, 573)(224, 524, 280, 580)(227, 527, 283, 583)(229, 529, 285, 585)(230, 530, 276, 576)(231, 531, 287, 587)(232, 532, 277, 577)(234, 534, 262, 562)(236, 536, 264, 564)(237, 537, 267, 567)(239, 539, 265, 565)(241, 541, 292, 592)(243, 543, 286, 586)(247, 547, 278, 578)(250, 550, 275, 575)(251, 551, 279, 579)(253, 553, 284, 584)(254, 554, 282, 582)(256, 556, 281, 581)(258, 558, 271, 571)(260, 560, 289, 589)(269, 569, 298, 598)(288, 588, 295, 595)(290, 590, 297, 597)(291, 591, 296, 596)(293, 593, 300, 600)(294, 594, 299, 599)(601, 901, 603, 903, 608, 908, 618, 918, 610, 910, 604, 904)(602, 902, 605, 905, 612, 912, 625, 925, 614, 914, 606, 906)(607, 907, 615, 915, 630, 930, 657, 957, 632, 932, 616, 916)(609, 909, 619, 919, 637, 937, 669, 969, 639, 939, 620, 920)(611, 911, 622, 922, 643, 943, 676, 976, 645, 945, 623, 923)(613, 913, 626, 926, 650, 950, 688, 988, 652, 952, 627, 927)(617, 917, 633, 933, 661, 961, 700, 1000, 663, 963, 634, 934)(621, 921, 640, 940, 672, 972, 714, 1014, 673, 973, 641, 941)(624, 924, 646, 946, 680, 980, 722, 1022, 682, 982, 647, 947)(628, 928, 653, 953, 691, 991, 736, 1036, 692, 992, 654, 954)(629, 929, 655, 955, 638, 938, 670, 970, 693, 993, 656, 956)(631, 931, 658, 958, 696, 996, 740, 1040, 697, 997, 659, 959)(635, 935, 664, 964, 704, 1004, 748, 1048, 706, 1006, 665, 965)(636, 936, 666, 966, 705, 1005, 749, 1049, 708, 1008, 667, 967)(642, 942, 674, 974, 651, 951, 689, 989, 715, 1015, 675, 975)(644, 944, 677, 977, 718, 1018, 762, 1062, 719, 1019, 678, 978)(648, 948, 683, 983, 726, 1026, 770, 1070, 728, 1028, 684, 984)(649, 949, 685, 985, 727, 1027, 771, 1071, 730, 1030, 686, 986)(660, 960, 698, 998, 741, 1041, 788, 1088, 742, 1042, 699, 999)(662, 962, 701, 1001, 745, 1045, 712, 1012, 671, 971, 702, 1002)(668, 968, 709, 1009, 753, 1053, 801, 1101, 754, 1054, 710, 1010)(679, 979, 720, 1020, 763, 1063, 814, 1114, 764, 1064, 721, 1021)(681, 981, 723, 1023, 767, 1067, 734, 1034, 690, 990, 724, 1024)(687, 987, 731, 1031, 775, 1075, 827, 1127, 776, 1076, 732, 1032)(694, 994, 729, 1029, 773, 1073, 824, 1124, 781, 1081, 737, 1037)(695, 995, 733, 1033, 777, 1077, 829, 1129, 783, 1083, 738, 1038)(703, 1003, 746, 1046, 792, 1092, 847, 1147, 793, 1093, 747, 1047)(707, 1007, 751, 1051, 798, 1098, 807, 1107, 759, 1059, 716, 1016)(711, 1011, 755, 1055, 803, 1103, 809, 1109, 760, 1060, 717, 1017)(713, 1013, 750, 1050, 796, 1096, 850, 1150, 805, 1105, 757, 1057)(725, 1025, 768, 1068, 818, 1118, 875, 1175, 819, 1119, 769, 1069)(735, 1035, 772, 1072, 822, 1122, 878, 1178, 831, 1131, 779, 1079)(739, 1039, 784, 1084, 836, 1136, 863, 1163, 837, 1137, 785, 1085)(743, 1043, 782, 1082, 834, 1134, 868, 1168, 841, 1141, 789, 1089)(744, 1044, 786, 1086, 838, 1138, 890, 1190, 843, 1143, 790, 1090)(752, 1052, 799, 1099, 853, 1153, 880, 1180, 854, 1154, 800, 1100)(756, 1056, 804, 1104, 858, 1158, 894, 1194, 849, 1149, 795, 1095)(758, 1058, 806, 1106, 860, 1160, 883, 1183, 851, 1151, 797, 1097)(761, 1061, 810, 1110, 864, 1164, 835, 1135, 865, 1165, 811, 1111)(765, 1065, 808, 1108, 862, 1162, 840, 1140, 869, 1169, 815, 1115)(766, 1066, 812, 1112, 866, 1166, 896, 1196, 871, 1171, 816, 1116)(774, 1074, 825, 1125, 881, 1181, 852, 1152, 882, 1182, 826, 1126)(778, 1078, 830, 1130, 886, 1186, 900, 1200, 877, 1177, 821, 1121)(780, 1080, 832, 1132, 888, 1188, 855, 1155, 879, 1179, 823, 1123)(787, 1087, 833, 1133, 889, 1189, 859, 1159, 891, 1191, 839, 1139)(791, 1091, 844, 1144, 876, 1176, 820, 1120, 870, 1170, 845, 1145)(794, 1094, 842, 1142, 873, 1173, 817, 1117, 872, 1172, 848, 1148)(802, 1102, 856, 1156, 893, 1193, 846, 1146, 892, 1192, 857, 1157)(813, 1113, 861, 1161, 895, 1195, 887, 1187, 897, 1197, 867, 1167)(828, 1128, 884, 1184, 899, 1199, 874, 1174, 898, 1198, 885, 1185)
	L = (1, 602)(2, 601)(3, 607)(4, 609)(5, 611)(6, 613)(7, 603)(8, 617)(9, 604)(10, 621)(11, 605)(12, 624)(13, 606)(14, 628)(15, 629)(16, 631)(17, 608)(18, 635)(19, 636)(20, 638)(21, 610)(22, 642)(23, 644)(24, 612)(25, 648)(26, 649)(27, 651)(28, 614)(29, 615)(30, 654)(31, 616)(32, 660)(33, 652)(34, 662)(35, 618)(36, 619)(37, 668)(38, 620)(39, 646)(40, 671)(41, 643)(42, 622)(43, 641)(44, 623)(45, 679)(46, 639)(47, 681)(48, 625)(49, 626)(50, 687)(51, 627)(52, 633)(53, 690)(54, 630)(55, 674)(56, 685)(57, 694)(58, 695)(59, 689)(60, 632)(61, 699)(62, 634)(63, 703)(64, 697)(65, 705)(66, 675)(67, 707)(68, 637)(69, 711)(70, 678)(71, 640)(72, 713)(73, 709)(74, 655)(75, 666)(76, 716)(77, 717)(78, 670)(79, 645)(80, 721)(81, 647)(82, 725)(83, 719)(84, 727)(85, 656)(86, 729)(87, 650)(88, 733)(89, 659)(90, 653)(91, 735)(92, 731)(93, 724)(94, 657)(95, 658)(96, 739)(97, 664)(98, 732)(99, 661)(100, 743)(101, 744)(102, 715)(103, 663)(104, 747)(105, 665)(106, 750)(107, 667)(108, 752)(109, 673)(110, 720)(111, 669)(112, 756)(113, 672)(114, 758)(115, 702)(116, 676)(117, 677)(118, 761)(119, 683)(120, 710)(121, 680)(122, 765)(123, 766)(124, 693)(125, 682)(126, 769)(127, 684)(128, 772)(129, 686)(130, 774)(131, 692)(132, 698)(133, 688)(134, 778)(135, 691)(136, 780)(137, 777)(138, 782)(139, 696)(140, 786)(141, 787)(142, 784)(143, 700)(144, 701)(145, 791)(146, 785)(147, 704)(148, 794)(149, 795)(150, 706)(151, 797)(152, 708)(153, 800)(154, 802)(155, 759)(156, 712)(157, 799)(158, 714)(159, 755)(160, 808)(161, 718)(162, 812)(163, 813)(164, 810)(165, 722)(166, 723)(167, 817)(168, 811)(169, 726)(170, 820)(171, 821)(172, 728)(173, 823)(174, 730)(175, 826)(176, 828)(177, 737)(178, 734)(179, 825)(180, 736)(181, 833)(182, 738)(183, 835)(184, 742)(185, 746)(186, 740)(187, 741)(188, 840)(189, 838)(190, 842)(191, 745)(192, 846)(193, 844)(194, 748)(195, 749)(196, 845)(197, 751)(198, 852)(199, 757)(200, 753)(201, 855)(202, 754)(203, 857)(204, 848)(205, 859)(206, 849)(207, 861)(208, 760)(209, 863)(210, 764)(211, 768)(212, 762)(213, 763)(214, 868)(215, 866)(216, 870)(217, 767)(218, 874)(219, 872)(220, 770)(221, 771)(222, 873)(223, 773)(224, 880)(225, 779)(226, 775)(227, 883)(228, 776)(229, 885)(230, 876)(231, 887)(232, 877)(233, 781)(234, 862)(235, 783)(236, 864)(237, 867)(238, 789)(239, 865)(240, 788)(241, 892)(242, 790)(243, 886)(244, 793)(245, 796)(246, 792)(247, 878)(248, 804)(249, 806)(250, 875)(251, 879)(252, 798)(253, 884)(254, 882)(255, 801)(256, 881)(257, 803)(258, 871)(259, 805)(260, 889)(261, 807)(262, 834)(263, 809)(264, 836)(265, 839)(266, 815)(267, 837)(268, 814)(269, 898)(270, 816)(271, 858)(272, 819)(273, 822)(274, 818)(275, 850)(276, 830)(277, 832)(278, 847)(279, 851)(280, 824)(281, 856)(282, 854)(283, 827)(284, 853)(285, 829)(286, 843)(287, 831)(288, 895)(289, 860)(290, 897)(291, 896)(292, 841)(293, 900)(294, 899)(295, 888)(296, 891)(297, 890)(298, 869)(299, 894)(300, 893)(301, 901)(302, 902)(303, 903)(304, 904)(305, 905)(306, 906)(307, 907)(308, 908)(309, 909)(310, 910)(311, 911)(312, 912)(313, 913)(314, 914)(315, 915)(316, 916)(317, 917)(318, 918)(319, 919)(320, 920)(321, 921)(322, 922)(323, 923)(324, 924)(325, 925)(326, 926)(327, 927)(328, 928)(329, 929)(330, 930)(331, 931)(332, 932)(333, 933)(334, 934)(335, 935)(336, 936)(337, 937)(338, 938)(339, 939)(340, 940)(341, 941)(342, 942)(343, 943)(344, 944)(345, 945)(346, 946)(347, 947)(348, 948)(349, 949)(350, 950)(351, 951)(352, 952)(353, 953)(354, 954)(355, 955)(356, 956)(357, 957)(358, 958)(359, 959)(360, 960)(361, 961)(362, 962)(363, 963)(364, 964)(365, 965)(366, 966)(367, 967)(368, 968)(369, 969)(370, 970)(371, 971)(372, 972)(373, 973)(374, 974)(375, 975)(376, 976)(377, 977)(378, 978)(379, 979)(380, 980)(381, 981)(382, 982)(383, 983)(384, 984)(385, 985)(386, 986)(387, 987)(388, 988)(389, 989)(390, 990)(391, 991)(392, 992)(393, 993)(394, 994)(395, 995)(396, 996)(397, 997)(398, 998)(399, 999)(400, 1000)(401, 1001)(402, 1002)(403, 1003)(404, 1004)(405, 1005)(406, 1006)(407, 1007)(408, 1008)(409, 1009)(410, 1010)(411, 1011)(412, 1012)(413, 1013)(414, 1014)(415, 1015)(416, 1016)(417, 1017)(418, 1018)(419, 1019)(420, 1020)(421, 1021)(422, 1022)(423, 1023)(424, 1024)(425, 1025)(426, 1026)(427, 1027)(428, 1028)(429, 1029)(430, 1030)(431, 1031)(432, 1032)(433, 1033)(434, 1034)(435, 1035)(436, 1036)(437, 1037)(438, 1038)(439, 1039)(440, 1040)(441, 1041)(442, 1042)(443, 1043)(444, 1044)(445, 1045)(446, 1046)(447, 1047)(448, 1048)(449, 1049)(450, 1050)(451, 1051)(452, 1052)(453, 1053)(454, 1054)(455, 1055)(456, 1056)(457, 1057)(458, 1058)(459, 1059)(460, 1060)(461, 1061)(462, 1062)(463, 1063)(464, 1064)(465, 1065)(466, 1066)(467, 1067)(468, 1068)(469, 1069)(470, 1070)(471, 1071)(472, 1072)(473, 1073)(474, 1074)(475, 1075)(476, 1076)(477, 1077)(478, 1078)(479, 1079)(480, 1080)(481, 1081)(482, 1082)(483, 1083)(484, 1084)(485, 1085)(486, 1086)(487, 1087)(488, 1088)(489, 1089)(490, 1090)(491, 1091)(492, 1092)(493, 1093)(494, 1094)(495, 1095)(496, 1096)(497, 1097)(498, 1098)(499, 1099)(500, 1100)(501, 1101)(502, 1102)(503, 1103)(504, 1104)(505, 1105)(506, 1106)(507, 1107)(508, 1108)(509, 1109)(510, 1110)(511, 1111)(512, 1112)(513, 1113)(514, 1114)(515, 1115)(516, 1116)(517, 1117)(518, 1118)(519, 1119)(520, 1120)(521, 1121)(522, 1122)(523, 1123)(524, 1124)(525, 1125)(526, 1126)(527, 1127)(528, 1128)(529, 1129)(530, 1130)(531, 1131)(532, 1132)(533, 1133)(534, 1134)(535, 1135)(536, 1136)(537, 1137)(538, 1138)(539, 1139)(540, 1140)(541, 1141)(542, 1142)(543, 1143)(544, 1144)(545, 1145)(546, 1146)(547, 1147)(548, 1148)(549, 1149)(550, 1150)(551, 1151)(552, 1152)(553, 1153)(554, 1154)(555, 1155)(556, 1156)(557, 1157)(558, 1158)(559, 1159)(560, 1160)(561, 1161)(562, 1162)(563, 1163)(564, 1164)(565, 1165)(566, 1166)(567, 1167)(568, 1168)(569, 1169)(570, 1170)(571, 1171)(572, 1172)(573, 1173)(574, 1174)(575, 1175)(576, 1176)(577, 1177)(578, 1178)(579, 1179)(580, 1180)(581, 1181)(582, 1182)(583, 1183)(584, 1184)(585, 1185)(586, 1186)(587, 1187)(588, 1188)(589, 1189)(590, 1190)(591, 1191)(592, 1192)(593, 1193)(594, 1194)(595, 1195)(596, 1196)(597, 1197)(598, 1198)(599, 1199)(600, 1200)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E26.1510
Graph:: bipartite
	v = 200 e = 600 f = 350
	degree seq :: [ 4^150, 12^50 ]

E26.1508 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x (((C5 x C5) : C3) : C2) (small group id <300, 27>)
Aut   = $<600, 154>$ (small group id <600, 154>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y1^-1 * Y2^-1)^2, (Y2 * Y1)^2, (Y2 * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1^6, (Y2 * Y1^-1 * Y2)^2, Y2^6, Y2 * Y1^-1 * Y2 * Y1^2 * Y2^-1 * Y1 * Y2^-1 * Y1^-2 * Y2 * Y1^-2 * Y2 * Y1^-2 ]
Map::
	R = (1, 301, 2, 302, 6, 306, 16, 316, 13, 313, 4, 304)(3, 303, 9, 309, 23, 323, 47, 347, 28, 328, 11, 311)(5, 305, 14, 314, 33, 333, 44, 344, 20, 320, 7, 307)(8, 308, 21, 321, 45, 345, 71, 371, 38, 338, 17, 317)(10, 310, 25, 325, 52, 352, 80, 380, 46, 346, 22, 322)(12, 312, 29, 329, 57, 357, 95, 395, 60, 360, 31, 331)(15, 315, 30, 330, 59, 359, 98, 398, 63, 363, 34, 334)(18, 318, 39, 339, 72, 372, 105, 405, 65, 365, 35, 335)(19, 319, 41, 341, 74, 374, 114, 414, 73, 373, 40, 340)(24, 324, 50, 350, 86, 386, 129, 429, 84, 384, 48, 348)(26, 326, 42, 342, 69, 369, 103, 403, 87, 387, 51, 351)(27, 327, 54, 354, 91, 391, 135, 435, 93, 393, 55, 355)(32, 332, 36, 336, 66, 366, 106, 406, 100, 400, 61, 361)(37, 337, 68, 368, 108, 408, 153, 453, 107, 407, 67, 367)(43, 343, 76, 376, 118, 418, 165, 465, 120, 420, 77, 377)(49, 349, 85, 385, 130, 430, 173, 473, 124, 424, 81, 381)(53, 353, 90, 390, 134, 434, 183, 483, 132, 432, 88, 388)(56, 356, 82, 382, 125, 425, 174, 474, 139, 439, 94, 394)(58, 358, 64, 364, 102, 402, 147, 447, 142, 442, 96, 396)(62, 362, 101, 401, 146, 446, 169, 469, 121, 421, 78, 378)(70, 370, 110, 410, 157, 457, 210, 510, 159, 459, 111, 411)(75, 375, 117, 417, 164, 464, 217, 517, 162, 462, 115, 415)(79, 379, 122, 422, 170, 470, 214, 514, 160, 460, 112, 412)(83, 383, 127, 427, 176, 476, 233, 533, 175, 475, 126, 426)(89, 389, 133, 433, 184, 484, 222, 522, 166, 466, 119, 419)(92, 392, 123, 423, 171, 471, 227, 527, 188, 488, 136, 436)(97, 397, 143, 443, 195, 495, 247, 547, 192, 492, 140, 440)(99, 399, 141, 441, 193, 493, 248, 548, 196, 496, 144, 444)(104, 404, 149, 449, 202, 502, 253, 553, 204, 504, 150, 450)(109, 409, 156, 456, 209, 509, 260, 560, 207, 507, 154, 454)(113, 413, 161, 461, 215, 515, 257, 557, 205, 505, 151, 451)(116, 416, 163, 463, 218, 518, 264, 564, 211, 511, 158, 458)(128, 428, 177, 477, 235, 535, 266, 566, 226, 526, 178, 478)(131, 431, 181, 481, 237, 537, 278, 578, 236, 536, 179, 479)(137, 437, 189, 489, 213, 513, 263, 563, 243, 543, 186, 486)(138, 438, 187, 487, 244, 544, 283, 583, 245, 545, 190, 490)(145, 445, 152, 452, 206, 506, 258, 558, 241, 541, 197, 497)(148, 448, 201, 501, 252, 552, 286, 586, 250, 550, 199, 499)(155, 455, 208, 508, 191, 491, 232, 532, 254, 554, 203, 503)(167, 467, 223, 523, 256, 556, 289, 589, 271, 571, 220, 520)(168, 468, 221, 521, 272, 572, 231, 531, 180, 480, 224, 524)(172, 472, 229, 529, 275, 575, 288, 588, 255, 555, 230, 530)(182, 482, 238, 538, 280, 580, 298, 598, 279, 579, 239, 539)(185, 485, 242, 542, 259, 559, 290, 590, 281, 581, 240, 540)(194, 494, 200, 500, 251, 551, 225, 525, 198, 498, 249, 549)(212, 512, 265, 565, 246, 546, 284, 584, 293, 593, 262, 562)(216, 516, 267, 567, 294, 594, 276, 576, 234, 534, 268, 568)(219, 519, 270, 570, 285, 585, 299, 599, 295, 595, 269, 569)(228, 528, 274, 574, 296, 596, 300, 600, 287, 587, 273, 573)(261, 561, 292, 592, 277, 577, 297, 597, 282, 582, 291, 591)(601, 901, 603, 903, 610, 910, 626, 926, 615, 915, 605, 905)(602, 902, 607, 907, 619, 919, 642, 942, 622, 922, 608, 908)(604, 904, 612, 912, 630, 930, 651, 951, 624, 924, 609, 909)(606, 906, 617, 917, 637, 937, 669, 969, 640, 940, 618, 918)(611, 911, 627, 927, 614, 914, 634, 934, 653, 953, 625, 925)(613, 913, 632, 932, 650, 950, 687, 987, 658, 958, 629, 929)(616, 916, 635, 935, 664, 964, 703, 1003, 667, 967, 636, 936)(620, 920, 643, 943, 621, 921, 646, 946, 675, 975, 641, 941)(623, 923, 648, 948, 683, 983, 659, 959, 631, 931, 649, 949)(628, 928, 656, 956, 690, 990, 663, 963, 692, 992, 654, 954)(633, 933, 655, 955, 689, 989, 652, 952, 688, 988, 662, 962)(638, 938, 670, 970, 639, 939, 673, 973, 709, 1009, 668, 968)(644, 944, 678, 978, 717, 1017, 680, 980, 719, 1019, 676, 976)(645, 945, 677, 977, 716, 1016, 674, 974, 715, 1015, 679, 979)(647, 947, 681, 981, 723, 1023, 698, 998, 726, 1026, 682, 982)(657, 957, 696, 996, 731, 1031, 686, 986, 661, 961, 697, 997)(660, 960, 699, 999, 727, 1027, 684, 984, 728, 1028, 685, 985)(665, 965, 704, 1004, 666, 966, 707, 1007, 748, 1048, 702, 1002)(671, 971, 712, 1012, 756, 1056, 714, 1014, 758, 1058, 710, 1010)(672, 972, 711, 1011, 755, 1055, 708, 1008, 754, 1054, 713, 1013)(691, 991, 736, 1036, 785, 1085, 734, 1034, 694, 994, 737, 1037)(693, 993, 738, 1038, 701, 1001, 732, 1032, 782, 1082, 733, 1033)(695, 995, 740, 1040, 777, 1077, 729, 1029, 779, 1079, 741, 1041)(700, 1000, 745, 1045, 781, 1081, 742, 1042, 794, 1094, 743, 1043)(705, 1005, 751, 1051, 801, 1101, 753, 1053, 803, 1103, 749, 1049)(706, 1006, 750, 1050, 800, 1100, 747, 1047, 799, 1099, 752, 1052)(718, 1018, 766, 1066, 819, 1119, 764, 1064, 721, 1021, 767, 1067)(720, 1020, 768, 1068, 722, 1022, 762, 1062, 816, 1116, 763, 1063)(724, 1024, 772, 1072, 725, 1025, 775, 1075, 828, 1128, 771, 1071)(730, 1030, 778, 1078, 834, 1134, 776, 1076, 744, 1044, 780, 1080)(735, 1035, 786, 1086, 838, 1138, 783, 1083, 840, 1140, 787, 1087)(739, 1039, 791, 1091, 842, 1142, 788, 1088, 815, 1115, 789, 1089)(746, 1046, 790, 1090, 841, 1141, 784, 1084, 839, 1139, 798, 1098)(757, 1057, 811, 1111, 861, 1161, 809, 1109, 760, 1060, 812, 1112)(759, 1059, 813, 1113, 761, 1061, 807, 1107, 859, 1159, 808, 1108)(765, 1065, 820, 1120, 867, 1167, 817, 1117, 869, 1169, 821, 1121)(769, 1069, 825, 1125, 870, 1170, 822, 1122, 858, 1158, 823, 1123)(770, 1070, 824, 1124, 796, 1096, 818, 1118, 868, 1168, 826, 1126)(773, 1073, 831, 1131, 874, 1174, 833, 1133, 876, 1176, 829, 1129)(774, 1074, 830, 1130, 857, 1157, 827, 1127, 873, 1173, 832, 1132)(792, 1092, 846, 1146, 793, 1093, 836, 1136, 877, 1177, 835, 1135)(795, 1095, 849, 1149, 879, 1179, 837, 1137, 797, 1097, 845, 1145)(802, 1102, 854, 1154, 887, 1187, 852, 1152, 805, 1105, 855, 1155)(804, 1104, 856, 1156, 806, 1106, 850, 1150, 885, 1185, 851, 1151)(810, 1110, 862, 1162, 890, 1190, 860, 1160, 891, 1191, 863, 1163)(814, 1114, 866, 1166, 892, 1192, 864, 1164, 848, 1148, 865, 1165)(843, 1143, 882, 1182, 844, 1144, 881, 1181, 893, 1193, 880, 1180)(847, 1147, 883, 1183, 897, 1197, 878, 1178, 898, 1198, 884, 1184)(853, 1153, 888, 1188, 899, 1199, 886, 1186, 900, 1200, 889, 1189)(871, 1171, 896, 1196, 872, 1172, 895, 1195, 875, 1175, 894, 1194)
	L = (1, 603)(2, 607)(3, 610)(4, 612)(5, 601)(6, 617)(7, 619)(8, 602)(9, 604)(10, 626)(11, 627)(12, 630)(13, 632)(14, 634)(15, 605)(16, 635)(17, 637)(18, 606)(19, 642)(20, 643)(21, 646)(22, 608)(23, 648)(24, 609)(25, 611)(26, 615)(27, 614)(28, 656)(29, 613)(30, 651)(31, 649)(32, 650)(33, 655)(34, 653)(35, 664)(36, 616)(37, 669)(38, 670)(39, 673)(40, 618)(41, 620)(42, 622)(43, 621)(44, 678)(45, 677)(46, 675)(47, 681)(48, 683)(49, 623)(50, 687)(51, 624)(52, 688)(53, 625)(54, 628)(55, 689)(56, 690)(57, 696)(58, 629)(59, 631)(60, 699)(61, 697)(62, 633)(63, 692)(64, 703)(65, 704)(66, 707)(67, 636)(68, 638)(69, 640)(70, 639)(71, 712)(72, 711)(73, 709)(74, 715)(75, 641)(76, 644)(77, 716)(78, 717)(79, 645)(80, 719)(81, 723)(82, 647)(83, 659)(84, 728)(85, 660)(86, 661)(87, 658)(88, 662)(89, 652)(90, 663)(91, 736)(92, 654)(93, 738)(94, 737)(95, 740)(96, 731)(97, 657)(98, 726)(99, 727)(100, 745)(101, 732)(102, 665)(103, 667)(104, 666)(105, 751)(106, 750)(107, 748)(108, 754)(109, 668)(110, 671)(111, 755)(112, 756)(113, 672)(114, 758)(115, 679)(116, 674)(117, 680)(118, 766)(119, 676)(120, 768)(121, 767)(122, 762)(123, 698)(124, 772)(125, 775)(126, 682)(127, 684)(128, 685)(129, 779)(130, 778)(131, 686)(132, 782)(133, 693)(134, 694)(135, 786)(136, 785)(137, 691)(138, 701)(139, 791)(140, 777)(141, 695)(142, 794)(143, 700)(144, 780)(145, 781)(146, 790)(147, 799)(148, 702)(149, 705)(150, 800)(151, 801)(152, 706)(153, 803)(154, 713)(155, 708)(156, 714)(157, 811)(158, 710)(159, 813)(160, 812)(161, 807)(162, 816)(163, 720)(164, 721)(165, 820)(166, 819)(167, 718)(168, 722)(169, 825)(170, 824)(171, 724)(172, 725)(173, 831)(174, 830)(175, 828)(176, 744)(177, 729)(178, 834)(179, 741)(180, 730)(181, 742)(182, 733)(183, 840)(184, 839)(185, 734)(186, 838)(187, 735)(188, 815)(189, 739)(190, 841)(191, 842)(192, 846)(193, 836)(194, 743)(195, 849)(196, 818)(197, 845)(198, 746)(199, 752)(200, 747)(201, 753)(202, 854)(203, 749)(204, 856)(205, 855)(206, 850)(207, 859)(208, 759)(209, 760)(210, 862)(211, 861)(212, 757)(213, 761)(214, 866)(215, 789)(216, 763)(217, 869)(218, 868)(219, 764)(220, 867)(221, 765)(222, 858)(223, 769)(224, 796)(225, 870)(226, 770)(227, 873)(228, 771)(229, 773)(230, 857)(231, 874)(232, 774)(233, 876)(234, 776)(235, 792)(236, 877)(237, 797)(238, 783)(239, 798)(240, 787)(241, 784)(242, 788)(243, 882)(244, 881)(245, 795)(246, 793)(247, 883)(248, 865)(249, 879)(250, 885)(251, 804)(252, 805)(253, 888)(254, 887)(255, 802)(256, 806)(257, 827)(258, 823)(259, 808)(260, 891)(261, 809)(262, 890)(263, 810)(264, 848)(265, 814)(266, 892)(267, 817)(268, 826)(269, 821)(270, 822)(271, 896)(272, 895)(273, 832)(274, 833)(275, 894)(276, 829)(277, 835)(278, 898)(279, 837)(280, 843)(281, 893)(282, 844)(283, 897)(284, 847)(285, 851)(286, 900)(287, 852)(288, 899)(289, 853)(290, 860)(291, 863)(292, 864)(293, 880)(294, 871)(295, 875)(296, 872)(297, 878)(298, 884)(299, 886)(300, 889)(301, 901)(302, 902)(303, 903)(304, 904)(305, 905)(306, 906)(307, 907)(308, 908)(309, 909)(310, 910)(311, 911)(312, 912)(313, 913)(314, 914)(315, 915)(316, 916)(317, 917)(318, 918)(319, 919)(320, 920)(321, 921)(322, 922)(323, 923)(324, 924)(325, 925)(326, 926)(327, 927)(328, 928)(329, 929)(330, 930)(331, 931)(332, 932)(333, 933)(334, 934)(335, 935)(336, 936)(337, 937)(338, 938)(339, 939)(340, 940)(341, 941)(342, 942)(343, 943)(344, 944)(345, 945)(346, 946)(347, 947)(348, 948)(349, 949)(350, 950)(351, 951)(352, 952)(353, 953)(354, 954)(355, 955)(356, 956)(357, 957)(358, 958)(359, 959)(360, 960)(361, 961)(362, 962)(363, 963)(364, 964)(365, 965)(366, 966)(367, 967)(368, 968)(369, 969)(370, 970)(371, 971)(372, 972)(373, 973)(374, 974)(375, 975)(376, 976)(377, 977)(378, 978)(379, 979)(380, 980)(381, 981)(382, 982)(383, 983)(384, 984)(385, 985)(386, 986)(387, 987)(388, 988)(389, 989)(390, 990)(391, 991)(392, 992)(393, 993)(394, 994)(395, 995)(396, 996)(397, 997)(398, 998)(399, 999)(400, 1000)(401, 1001)(402, 1002)(403, 1003)(404, 1004)(405, 1005)(406, 1006)(407, 1007)(408, 1008)(409, 1009)(410, 1010)(411, 1011)(412, 1012)(413, 1013)(414, 1014)(415, 1015)(416, 1016)(417, 1017)(418, 1018)(419, 1019)(420, 1020)(421, 1021)(422, 1022)(423, 1023)(424, 1024)(425, 1025)(426, 1026)(427, 1027)(428, 1028)(429, 1029)(430, 1030)(431, 1031)(432, 1032)(433, 1033)(434, 1034)(435, 1035)(436, 1036)(437, 1037)(438, 1038)(439, 1039)(440, 1040)(441, 1041)(442, 1042)(443, 1043)(444, 1044)(445, 1045)(446, 1046)(447, 1047)(448, 1048)(449, 1049)(450, 1050)(451, 1051)(452, 1052)(453, 1053)(454, 1054)(455, 1055)(456, 1056)(457, 1057)(458, 1058)(459, 1059)(460, 1060)(461, 1061)(462, 1062)(463, 1063)(464, 1064)(465, 1065)(466, 1066)(467, 1067)(468, 1068)(469, 1069)(470, 1070)(471, 1071)(472, 1072)(473, 1073)(474, 1074)(475, 1075)(476, 1076)(477, 1077)(478, 1078)(479, 1079)(480, 1080)(481, 1081)(482, 1082)(483, 1083)(484, 1084)(485, 1085)(486, 1086)(487, 1087)(488, 1088)(489, 1089)(490, 1090)(491, 1091)(492, 1092)(493, 1093)(494, 1094)(495, 1095)(496, 1096)(497, 1097)(498, 1098)(499, 1099)(500, 1100)(501, 1101)(502, 1102)(503, 1103)(504, 1104)(505, 1105)(506, 1106)(507, 1107)(508, 1108)(509, 1109)(510, 1110)(511, 1111)(512, 1112)(513, 1113)(514, 1114)(515, 1115)(516, 1116)(517, 1117)(518, 1118)(519, 1119)(520, 1120)(521, 1121)(522, 1122)(523, 1123)(524, 1124)(525, 1125)(526, 1126)(527, 1127)(528, 1128)(529, 1129)(530, 1130)(531, 1131)(532, 1132)(533, 1133)(534, 1134)(535, 1135)(536, 1136)(537, 1137)(538, 1138)(539, 1139)(540, 1140)(541, 1141)(542, 1142)(543, 1143)(544, 1144)(545, 1145)(546, 1146)(547, 1147)(548, 1148)(549, 1149)(550, 1150)(551, 1151)(552, 1152)(553, 1153)(554, 1154)(555, 1155)(556, 1156)(557, 1157)(558, 1158)(559, 1159)(560, 1160)(561, 1161)(562, 1162)(563, 1163)(564, 1164)(565, 1165)(566, 1166)(567, 1167)(568, 1168)(569, 1169)(570, 1170)(571, 1171)(572, 1172)(573, 1173)(574, 1174)(575, 1175)(576, 1176)(577, 1177)(578, 1178)(579, 1179)(580, 1180)(581, 1181)(582, 1182)(583, 1183)(584, 1184)(585, 1185)(586, 1186)(587, 1187)(588, 1188)(589, 1189)(590, 1190)(591, 1191)(592, 1192)(593, 1193)(594, 1194)(595, 1195)(596, 1196)(597, 1197)(598, 1198)(599, 1199)(600, 1200)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E26.1509
Graph:: bipartite
	v = 100 e = 600 f = 450
	degree seq :: [ 12^100 ]

E26.1509 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x (((C5 x C5) : C3) : C2) (small group id <300, 27>)
Aut   = $<600, 154>$ (small group id <600, 154>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^6, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y2 * Y3^-1)^2, (Y3 * Y2)^6, (Y3^-1 * Y1^-1)^6, (Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1)^2, (Y2 * Y3 * Y2 * Y3^-1)^5 ]
Map:: polytopal
	R = (1, 301)(2, 302)(3, 303)(4, 304)(5, 305)(6, 306)(7, 307)(8, 308)(9, 309)(10, 310)(11, 311)(12, 312)(13, 313)(14, 314)(15, 315)(16, 316)(17, 317)(18, 318)(19, 319)(20, 320)(21, 321)(22, 322)(23, 323)(24, 324)(25, 325)(26, 326)(27, 327)(28, 328)(29, 329)(30, 330)(31, 331)(32, 332)(33, 333)(34, 334)(35, 335)(36, 336)(37, 337)(38, 338)(39, 339)(40, 340)(41, 341)(42, 342)(43, 343)(44, 344)(45, 345)(46, 346)(47, 347)(48, 348)(49, 349)(50, 350)(51, 351)(52, 352)(53, 353)(54, 354)(55, 355)(56, 356)(57, 357)(58, 358)(59, 359)(60, 360)(61, 361)(62, 362)(63, 363)(64, 364)(65, 365)(66, 366)(67, 367)(68, 368)(69, 369)(70, 370)(71, 371)(72, 372)(73, 373)(74, 374)(75, 375)(76, 376)(77, 377)(78, 378)(79, 379)(80, 380)(81, 381)(82, 382)(83, 383)(84, 384)(85, 385)(86, 386)(87, 387)(88, 388)(89, 389)(90, 390)(91, 391)(92, 392)(93, 393)(94, 394)(95, 395)(96, 396)(97, 397)(98, 398)(99, 399)(100, 400)(101, 401)(102, 402)(103, 403)(104, 404)(105, 405)(106, 406)(107, 407)(108, 408)(109, 409)(110, 410)(111, 411)(112, 412)(113, 413)(114, 414)(115, 415)(116, 416)(117, 417)(118, 418)(119, 419)(120, 420)(121, 421)(122, 422)(123, 423)(124, 424)(125, 425)(126, 426)(127, 427)(128, 428)(129, 429)(130, 430)(131, 431)(132, 432)(133, 433)(134, 434)(135, 435)(136, 436)(137, 437)(138, 438)(139, 439)(140, 440)(141, 441)(142, 442)(143, 443)(144, 444)(145, 445)(146, 446)(147, 447)(148, 448)(149, 449)(150, 450)(151, 451)(152, 452)(153, 453)(154, 454)(155, 455)(156, 456)(157, 457)(158, 458)(159, 459)(160, 460)(161, 461)(162, 462)(163, 463)(164, 464)(165, 465)(166, 466)(167, 467)(168, 468)(169, 469)(170, 470)(171, 471)(172, 472)(173, 473)(174, 474)(175, 475)(176, 476)(177, 477)(178, 478)(179, 479)(180, 480)(181, 481)(182, 482)(183, 483)(184, 484)(185, 485)(186, 486)(187, 487)(188, 488)(189, 489)(190, 490)(191, 491)(192, 492)(193, 493)(194, 494)(195, 495)(196, 496)(197, 497)(198, 498)(199, 499)(200, 500)(201, 501)(202, 502)(203, 503)(204, 504)(205, 505)(206, 506)(207, 507)(208, 508)(209, 509)(210, 510)(211, 511)(212, 512)(213, 513)(214, 514)(215, 515)(216, 516)(217, 517)(218, 518)(219, 519)(220, 520)(221, 521)(222, 522)(223, 523)(224, 524)(225, 525)(226, 526)(227, 527)(228, 528)(229, 529)(230, 530)(231, 531)(232, 532)(233, 533)(234, 534)(235, 535)(236, 536)(237, 537)(238, 538)(239, 539)(240, 540)(241, 541)(242, 542)(243, 543)(244, 544)(245, 545)(246, 546)(247, 547)(248, 548)(249, 549)(250, 550)(251, 551)(252, 552)(253, 553)(254, 554)(255, 555)(256, 556)(257, 557)(258, 558)(259, 559)(260, 560)(261, 561)(262, 562)(263, 563)(264, 564)(265, 565)(266, 566)(267, 567)(268, 568)(269, 569)(270, 570)(271, 571)(272, 572)(273, 573)(274, 574)(275, 575)(276, 576)(277, 577)(278, 578)(279, 579)(280, 580)(281, 581)(282, 582)(283, 583)(284, 584)(285, 585)(286, 586)(287, 587)(288, 588)(289, 589)(290, 590)(291, 591)(292, 592)(293, 593)(294, 594)(295, 595)(296, 596)(297, 597)(298, 598)(299, 599)(300, 600)(601, 901, 602, 902)(603, 903, 607, 907)(604, 904, 609, 909)(605, 905, 611, 911)(606, 906, 613, 913)(608, 908, 617, 917)(610, 910, 621, 921)(612, 912, 624, 924)(614, 914, 628, 928)(615, 915, 629, 929)(616, 916, 631, 931)(618, 918, 625, 925)(619, 919, 635, 935)(620, 920, 636, 936)(622, 922, 637, 937)(623, 923, 639, 939)(626, 926, 643, 943)(627, 927, 644, 944)(630, 930, 647, 947)(632, 932, 650, 950)(633, 933, 651, 951)(634, 934, 652, 952)(638, 938, 659, 959)(640, 940, 662, 962)(641, 941, 663, 963)(642, 942, 664, 964)(645, 945, 668, 968)(646, 946, 670, 970)(648, 948, 674, 974)(649, 949, 675, 975)(653, 953, 680, 980)(654, 954, 681, 981)(655, 955, 682, 982)(656, 956, 657, 957)(658, 958, 684, 984)(660, 960, 688, 988)(661, 961, 689, 989)(665, 965, 694, 994)(666, 966, 695, 995)(667, 967, 696, 996)(669, 969, 697, 997)(671, 971, 693, 993)(672, 972, 700, 1000)(673, 973, 701, 1001)(676, 976, 705, 1005)(677, 977, 706, 1006)(678, 978, 707, 1007)(679, 979, 685, 985)(683, 983, 712, 1012)(686, 986, 715, 1015)(687, 987, 716, 1016)(690, 990, 720, 1020)(691, 991, 721, 1021)(692, 992, 722, 1022)(698, 998, 729, 1029)(699, 999, 730, 1030)(702, 1002, 734, 1034)(703, 1003, 735, 1035)(704, 1004, 736, 1036)(708, 1008, 741, 1041)(709, 1009, 742, 1042)(710, 1010, 743, 1043)(711, 1011, 744, 1044)(713, 1013, 747, 1047)(714, 1014, 748, 1048)(717, 1017, 752, 1052)(718, 1018, 753, 1053)(719, 1019, 754, 1054)(723, 1023, 759, 1059)(724, 1024, 760, 1060)(725, 1025, 761, 1061)(726, 1026, 762, 1062)(727, 1027, 763, 1063)(728, 1028, 764, 1064)(731, 1031, 768, 1068)(732, 1032, 769, 1069)(733, 1033, 770, 1070)(737, 1037, 775, 1075)(738, 1038, 776, 1076)(739, 1039, 777, 1077)(740, 1040, 778, 1078)(745, 1045, 784, 1084)(746, 1046, 785, 1085)(749, 1049, 789, 1089)(750, 1050, 790, 1090)(751, 1051, 791, 1091)(755, 1055, 796, 1096)(756, 1056, 797, 1097)(757, 1057, 798, 1098)(758, 1058, 799, 1099)(765, 1065, 804, 1104)(766, 1066, 808, 1108)(767, 1067, 809, 1109)(771, 1071, 792, 1092)(772, 1072, 814, 1114)(773, 1073, 815, 1115)(774, 1074, 816, 1116)(779, 1079, 822, 1122)(780, 1080, 801, 1101)(781, 1081, 823, 1123)(782, 1082, 824, 1124)(783, 1083, 786, 1086)(787, 1087, 828, 1128)(788, 1088, 829, 1129)(793, 1093, 834, 1134)(794, 1094, 835, 1135)(795, 1095, 836, 1136)(800, 1100, 842, 1142)(802, 1102, 843, 1143)(803, 1103, 844, 1144)(805, 1105, 841, 1141)(806, 1106, 845, 1145)(807, 1107, 846, 1146)(810, 1110, 830, 1130)(811, 1111, 851, 1151)(812, 1112, 852, 1152)(813, 1113, 853, 1153)(817, 1117, 856, 1156)(818, 1118, 838, 1138)(819, 1119, 857, 1157)(820, 1120, 847, 1147)(821, 1121, 825, 1125)(826, 1126, 860, 1160)(827, 1127, 861, 1161)(831, 1131, 866, 1166)(832, 1132, 867, 1167)(833, 1133, 868, 1168)(837, 1137, 871, 1171)(839, 1139, 872, 1172)(840, 1140, 862, 1162)(848, 1148, 878, 1178)(849, 1149, 879, 1179)(850, 1150, 869, 1169)(854, 1154, 865, 1165)(855, 1155, 873, 1173)(858, 1158, 870, 1170)(859, 1159, 884, 1184)(863, 1163, 888, 1188)(864, 1164, 889, 1189)(874, 1174, 894, 1194)(875, 1175, 895, 1195)(876, 1176, 896, 1196)(877, 1177, 890, 1190)(880, 1180, 887, 1187)(881, 1181, 892, 1192)(882, 1182, 891, 1191)(883, 1183, 897, 1197)(885, 1185, 898, 1198)(886, 1186, 899, 1199)(893, 1193, 900, 1200)
	L = (1, 603)(2, 605)(3, 608)(4, 601)(5, 612)(6, 602)(7, 615)(8, 618)(9, 619)(10, 604)(11, 622)(12, 625)(13, 626)(14, 606)(15, 630)(16, 607)(17, 633)(18, 610)(19, 634)(20, 609)(21, 632)(22, 638)(23, 611)(24, 641)(25, 614)(26, 642)(27, 613)(28, 640)(29, 645)(30, 621)(31, 648)(32, 616)(33, 620)(34, 617)(35, 653)(36, 655)(37, 657)(38, 628)(39, 660)(40, 623)(41, 627)(42, 624)(43, 665)(44, 667)(45, 669)(46, 629)(47, 672)(48, 673)(49, 631)(50, 671)(51, 676)(52, 678)(53, 677)(54, 635)(55, 679)(56, 636)(57, 683)(58, 637)(59, 686)(60, 687)(61, 639)(62, 685)(63, 690)(64, 692)(65, 691)(66, 643)(67, 693)(68, 644)(69, 650)(70, 698)(71, 646)(72, 649)(73, 647)(74, 702)(75, 704)(76, 654)(77, 651)(78, 656)(79, 652)(80, 701)(81, 708)(82, 710)(83, 662)(84, 713)(85, 658)(86, 661)(87, 659)(88, 717)(89, 719)(90, 666)(91, 663)(92, 668)(93, 664)(94, 716)(95, 723)(96, 725)(97, 727)(98, 728)(99, 670)(100, 731)(101, 733)(102, 732)(103, 674)(104, 680)(105, 675)(106, 737)(107, 739)(108, 738)(109, 681)(110, 740)(111, 682)(112, 745)(113, 746)(114, 684)(115, 749)(116, 751)(117, 750)(118, 688)(119, 694)(120, 689)(121, 755)(122, 757)(123, 756)(124, 695)(125, 758)(126, 696)(127, 699)(128, 697)(129, 765)(130, 767)(131, 703)(132, 700)(133, 705)(134, 764)(135, 771)(136, 773)(137, 709)(138, 706)(139, 711)(140, 707)(141, 779)(142, 781)(143, 776)(144, 782)(145, 714)(146, 712)(147, 786)(148, 788)(149, 718)(150, 715)(151, 720)(152, 785)(153, 792)(154, 794)(155, 724)(156, 721)(157, 726)(158, 722)(159, 800)(160, 802)(161, 797)(162, 803)(163, 805)(164, 807)(165, 806)(166, 729)(167, 734)(168, 730)(169, 810)(170, 812)(171, 811)(172, 735)(173, 813)(174, 736)(175, 817)(176, 819)(177, 742)(178, 820)(179, 818)(180, 741)(181, 743)(182, 821)(183, 744)(184, 825)(185, 827)(186, 826)(187, 747)(188, 752)(189, 748)(190, 830)(191, 832)(192, 831)(193, 753)(194, 833)(195, 754)(196, 837)(197, 839)(198, 760)(199, 840)(200, 838)(201, 759)(202, 761)(203, 841)(204, 762)(205, 766)(206, 763)(207, 768)(208, 847)(209, 849)(210, 772)(211, 769)(212, 774)(213, 770)(214, 854)(215, 851)(216, 855)(217, 780)(218, 775)(219, 777)(220, 783)(221, 778)(222, 853)(223, 858)(224, 848)(225, 787)(226, 784)(227, 789)(228, 862)(229, 864)(230, 793)(231, 790)(232, 795)(233, 791)(234, 869)(235, 866)(236, 870)(237, 801)(238, 796)(239, 798)(240, 804)(241, 799)(242, 868)(243, 873)(244, 863)(245, 824)(246, 876)(247, 875)(248, 808)(249, 877)(250, 809)(251, 880)(252, 814)(253, 881)(254, 815)(255, 822)(256, 816)(257, 882)(258, 883)(259, 823)(260, 844)(261, 886)(262, 885)(263, 828)(264, 887)(265, 829)(266, 890)(267, 834)(268, 891)(269, 835)(270, 842)(271, 836)(272, 892)(273, 893)(274, 843)(275, 845)(276, 850)(277, 846)(278, 897)(279, 895)(280, 852)(281, 856)(282, 859)(283, 857)(284, 896)(285, 860)(286, 865)(287, 861)(288, 900)(289, 898)(290, 867)(291, 871)(292, 874)(293, 872)(294, 899)(295, 884)(296, 878)(297, 879)(298, 894)(299, 888)(300, 889)(301, 901)(302, 902)(303, 903)(304, 904)(305, 905)(306, 906)(307, 907)(308, 908)(309, 909)(310, 910)(311, 911)(312, 912)(313, 913)(314, 914)(315, 915)(316, 916)(317, 917)(318, 918)(319, 919)(320, 920)(321, 921)(322, 922)(323, 923)(324, 924)(325, 925)(326, 926)(327, 927)(328, 928)(329, 929)(330, 930)(331, 931)(332, 932)(333, 933)(334, 934)(335, 935)(336, 936)(337, 937)(338, 938)(339, 939)(340, 940)(341, 941)(342, 942)(343, 943)(344, 944)(345, 945)(346, 946)(347, 947)(348, 948)(349, 949)(350, 950)(351, 951)(352, 952)(353, 953)(354, 954)(355, 955)(356, 956)(357, 957)(358, 958)(359, 959)(360, 960)(361, 961)(362, 962)(363, 963)(364, 964)(365, 965)(366, 966)(367, 967)(368, 968)(369, 969)(370, 970)(371, 971)(372, 972)(373, 973)(374, 974)(375, 975)(376, 976)(377, 977)(378, 978)(379, 979)(380, 980)(381, 981)(382, 982)(383, 983)(384, 984)(385, 985)(386, 986)(387, 987)(388, 988)(389, 989)(390, 990)(391, 991)(392, 992)(393, 993)(394, 994)(395, 995)(396, 996)(397, 997)(398, 998)(399, 999)(400, 1000)(401, 1001)(402, 1002)(403, 1003)(404, 1004)(405, 1005)(406, 1006)(407, 1007)(408, 1008)(409, 1009)(410, 1010)(411, 1011)(412, 1012)(413, 1013)(414, 1014)(415, 1015)(416, 1016)(417, 1017)(418, 1018)(419, 1019)(420, 1020)(421, 1021)(422, 1022)(423, 1023)(424, 1024)(425, 1025)(426, 1026)(427, 1027)(428, 1028)(429, 1029)(430, 1030)(431, 1031)(432, 1032)(433, 1033)(434, 1034)(435, 1035)(436, 1036)(437, 1037)(438, 1038)(439, 1039)(440, 1040)(441, 1041)(442, 1042)(443, 1043)(444, 1044)(445, 1045)(446, 1046)(447, 1047)(448, 1048)(449, 1049)(450, 1050)(451, 1051)(452, 1052)(453, 1053)(454, 1054)(455, 1055)(456, 1056)(457, 1057)(458, 1058)(459, 1059)(460, 1060)(461, 1061)(462, 1062)(463, 1063)(464, 1064)(465, 1065)(466, 1066)(467, 1067)(468, 1068)(469, 1069)(470, 1070)(471, 1071)(472, 1072)(473, 1073)(474, 1074)(475, 1075)(476, 1076)(477, 1077)(478, 1078)(479, 1079)(480, 1080)(481, 1081)(482, 1082)(483, 1083)(484, 1084)(485, 1085)(486, 1086)(487, 1087)(488, 1088)(489, 1089)(490, 1090)(491, 1091)(492, 1092)(493, 1093)(494, 1094)(495, 1095)(496, 1096)(497, 1097)(498, 1098)(499, 1099)(500, 1100)(501, 1101)(502, 1102)(503, 1103)(504, 1104)(505, 1105)(506, 1106)(507, 1107)(508, 1108)(509, 1109)(510, 1110)(511, 1111)(512, 1112)(513, 1113)(514, 1114)(515, 1115)(516, 1116)(517, 1117)(518, 1118)(519, 1119)(520, 1120)(521, 1121)(522, 1122)(523, 1123)(524, 1124)(525, 1125)(526, 1126)(527, 1127)(528, 1128)(529, 1129)(530, 1130)(531, 1131)(532, 1132)(533, 1133)(534, 1134)(535, 1135)(536, 1136)(537, 1137)(538, 1138)(539, 1139)(540, 1140)(541, 1141)(542, 1142)(543, 1143)(544, 1144)(545, 1145)(546, 1146)(547, 1147)(548, 1148)(549, 1149)(550, 1150)(551, 1151)(552, 1152)(553, 1153)(554, 1154)(555, 1155)(556, 1156)(557, 1157)(558, 1158)(559, 1159)(560, 1160)(561, 1161)(562, 1162)(563, 1163)(564, 1164)(565, 1165)(566, 1166)(567, 1167)(568, 1168)(569, 1169)(570, 1170)(571, 1171)(572, 1172)(573, 1173)(574, 1174)(575, 1175)(576, 1176)(577, 1177)(578, 1178)(579, 1179)(580, 1180)(581, 1181)(582, 1182)(583, 1183)(584, 1184)(585, 1185)(586, 1186)(587, 1187)(588, 1188)(589, 1189)(590, 1190)(591, 1191)(592, 1192)(593, 1193)(594, 1194)(595, 1195)(596, 1196)(597, 1197)(598, 1198)(599, 1199)(600, 1200)
	local type(s) :: { ( 12, 12 ), ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E26.1508
Graph:: simple bipartite
	v = 450 e = 600 f = 100
	degree seq :: [ 2^300, 4^150 ]

E26.1510 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x (((C5 x C5) : C3) : C2) (small group id <300, 27>)
Aut   = $<600, 154>$ (small group id <600, 154>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1^6, (R * Y2 * Y3^-1)^2, Y1^6, Y3 * Y1^-3 * Y3^-1 * Y1^-3, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^2 * Y1 * Y3 * Y1 * Y3, (Y3^-1 * Y1^-1)^6, Y3 * Y1^-1 * Y3^-1 * Y1^-2 * Y3^2 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-3, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal
	R = (1, 301, 2, 302, 5, 305, 11, 311, 10, 310, 4, 304)(3, 303, 7, 307, 15, 315, 22, 322, 18, 318, 8, 308)(6, 306, 13, 313, 25, 325, 21, 321, 28, 328, 14, 314)(9, 309, 19, 319, 24, 324, 12, 312, 23, 323, 20, 320)(16, 316, 30, 330, 47, 347, 34, 334, 50, 350, 31, 331)(17, 317, 32, 332, 46, 346, 29, 329, 45, 345, 33, 333)(26, 326, 40, 340, 63, 363, 44, 344, 66, 366, 41, 341)(27, 327, 42, 342, 62, 362, 39, 339, 61, 361, 43, 343)(35, 335, 53, 353, 58, 358, 37, 337, 57, 357, 54, 354)(36, 336, 55, 355, 60, 360, 38, 338, 59, 359, 56, 356)(48, 348, 72, 372, 101, 401, 76, 376, 86, 386, 73, 373)(49, 349, 74, 374, 100, 400, 71, 371, 99, 399, 75, 375)(51, 351, 77, 377, 98, 398, 69, 369, 97, 397, 78, 378)(52, 352, 79, 379, 93, 393, 70, 370, 90, 390, 64, 364)(65, 365, 91, 391, 120, 420, 89, 389, 119, 419, 92, 392)(67, 367, 94, 394, 118, 418, 87, 387, 117, 417, 95, 395)(68, 368, 96, 396, 80, 380, 88, 388, 112, 412, 83, 383)(81, 381, 108, 408, 114, 414, 84, 384, 113, 413, 109, 409)(82, 382, 110, 410, 116, 416, 85, 385, 115, 415, 111, 411)(102, 402, 132, 432, 169, 469, 131, 431, 168, 468, 133, 433)(103, 403, 134, 434, 167, 467, 129, 429, 166, 466, 135, 435)(104, 404, 136, 436, 105, 405, 130, 430, 163, 463, 127, 427)(106, 406, 137, 437, 165, 465, 128, 428, 164, 464, 138, 438)(107, 407, 139, 439, 155, 455, 121, 421, 154, 454, 140, 440)(122, 422, 156, 456, 195, 495, 152, 452, 194, 494, 157, 457)(123, 423, 158, 458, 124, 424, 153, 453, 191, 491, 150, 450)(125, 425, 159, 459, 193, 493, 151, 451, 192, 492, 160, 460)(126, 426, 161, 461, 185, 485, 145, 445, 184, 484, 162, 462)(141, 441, 179, 479, 187, 487, 146, 446, 186, 486, 180, 480)(142, 442, 181, 481, 143, 443, 147, 447, 188, 488, 148, 448)(144, 444, 182, 482, 190, 490, 149, 449, 189, 489, 183, 483)(170, 470, 212, 512, 249, 549, 210, 510, 231, 531, 213, 513)(171, 471, 214, 514, 172, 472, 211, 511, 248, 548, 208, 508)(173, 473, 201, 501, 242, 542, 209, 509, 233, 533, 215, 515)(174, 474, 216, 516, 246, 546, 205, 505, 245, 545, 217, 517)(175, 475, 218, 518, 228, 528, 206, 506, 247, 547, 219, 519)(176, 476, 220, 520, 177, 477, 207, 507, 237, 537, 196, 496)(178, 478, 221, 521, 235, 535, 197, 497, 238, 538, 198, 498)(199, 499, 230, 530, 264, 564, 236, 536, 224, 524, 239, 539)(200, 500, 240, 540, 266, 566, 232, 532, 265, 565, 241, 541)(202, 502, 243, 543, 203, 503, 234, 534, 260, 560, 225, 525)(204, 504, 244, 544, 222, 522, 226, 526, 261, 561, 227, 527)(223, 523, 258, 558, 263, 563, 229, 529, 262, 562, 259, 559)(250, 550, 268, 568, 293, 593, 279, 579, 257, 557, 280, 580)(251, 551, 281, 581, 285, 585, 278, 578, 294, 594, 273, 573)(252, 552, 271, 571, 253, 553, 272, 572, 291, 591, 275, 575)(254, 554, 282, 582, 255, 555, 276, 576, 287, 587, 277, 577)(256, 556, 274, 574, 292, 592, 267, 567, 286, 586, 283, 583)(269, 569, 288, 588, 270, 570, 289, 589, 284, 584, 290, 590)(295, 595, 298, 598, 296, 596, 299, 599, 297, 597, 300, 600)(601, 901)(602, 902)(603, 903)(604, 904)(605, 905)(606, 906)(607, 907)(608, 908)(609, 909)(610, 910)(611, 911)(612, 912)(613, 913)(614, 914)(615, 915)(616, 916)(617, 917)(618, 918)(619, 919)(620, 920)(621, 921)(622, 922)(623, 923)(624, 924)(625, 925)(626, 926)(627, 927)(628, 928)(629, 929)(630, 930)(631, 931)(632, 932)(633, 933)(634, 934)(635, 935)(636, 936)(637, 937)(638, 938)(639, 939)(640, 940)(641, 941)(642, 942)(643, 943)(644, 944)(645, 945)(646, 946)(647, 947)(648, 948)(649, 949)(650, 950)(651, 951)(652, 952)(653, 953)(654, 954)(655, 955)(656, 956)(657, 957)(658, 958)(659, 959)(660, 960)(661, 961)(662, 962)(663, 963)(664, 964)(665, 965)(666, 966)(667, 967)(668, 968)(669, 969)(670, 970)(671, 971)(672, 972)(673, 973)(674, 974)(675, 975)(676, 976)(677, 977)(678, 978)(679, 979)(680, 980)(681, 981)(682, 982)(683, 983)(684, 984)(685, 985)(686, 986)(687, 987)(688, 988)(689, 989)(690, 990)(691, 991)(692, 992)(693, 993)(694, 994)(695, 995)(696, 996)(697, 997)(698, 998)(699, 999)(700, 1000)(701, 1001)(702, 1002)(703, 1003)(704, 1004)(705, 1005)(706, 1006)(707, 1007)(708, 1008)(709, 1009)(710, 1010)(711, 1011)(712, 1012)(713, 1013)(714, 1014)(715, 1015)(716, 1016)(717, 1017)(718, 1018)(719, 1019)(720, 1020)(721, 1021)(722, 1022)(723, 1023)(724, 1024)(725, 1025)(726, 1026)(727, 1027)(728, 1028)(729, 1029)(730, 1030)(731, 1031)(732, 1032)(733, 1033)(734, 1034)(735, 1035)(736, 1036)(737, 1037)(738, 1038)(739, 1039)(740, 1040)(741, 1041)(742, 1042)(743, 1043)(744, 1044)(745, 1045)(746, 1046)(747, 1047)(748, 1048)(749, 1049)(750, 1050)(751, 1051)(752, 1052)(753, 1053)(754, 1054)(755, 1055)(756, 1056)(757, 1057)(758, 1058)(759, 1059)(760, 1060)(761, 1061)(762, 1062)(763, 1063)(764, 1064)(765, 1065)(766, 1066)(767, 1067)(768, 1068)(769, 1069)(770, 1070)(771, 1071)(772, 1072)(773, 1073)(774, 1074)(775, 1075)(776, 1076)(777, 1077)(778, 1078)(779, 1079)(780, 1080)(781, 1081)(782, 1082)(783, 1083)(784, 1084)(785, 1085)(786, 1086)(787, 1087)(788, 1088)(789, 1089)(790, 1090)(791, 1091)(792, 1092)(793, 1093)(794, 1094)(795, 1095)(796, 1096)(797, 1097)(798, 1098)(799, 1099)(800, 1100)(801, 1101)(802, 1102)(803, 1103)(804, 1104)(805, 1105)(806, 1106)(807, 1107)(808, 1108)(809, 1109)(810, 1110)(811, 1111)(812, 1112)(813, 1113)(814, 1114)(815, 1115)(816, 1116)(817, 1117)(818, 1118)(819, 1119)(820, 1120)(821, 1121)(822, 1122)(823, 1123)(824, 1124)(825, 1125)(826, 1126)(827, 1127)(828, 1128)(829, 1129)(830, 1130)(831, 1131)(832, 1132)(833, 1133)(834, 1134)(835, 1135)(836, 1136)(837, 1137)(838, 1138)(839, 1139)(840, 1140)(841, 1141)(842, 1142)(843, 1143)(844, 1144)(845, 1145)(846, 1146)(847, 1147)(848, 1148)(849, 1149)(850, 1150)(851, 1151)(852, 1152)(853, 1153)(854, 1154)(855, 1155)(856, 1156)(857, 1157)(858, 1158)(859, 1159)(860, 1160)(861, 1161)(862, 1162)(863, 1163)(864, 1164)(865, 1165)(866, 1166)(867, 1167)(868, 1168)(869, 1169)(870, 1170)(871, 1171)(872, 1172)(873, 1173)(874, 1174)(875, 1175)(876, 1176)(877, 1177)(878, 1178)(879, 1179)(880, 1180)(881, 1181)(882, 1182)(883, 1183)(884, 1184)(885, 1185)(886, 1186)(887, 1187)(888, 1188)(889, 1189)(890, 1190)(891, 1191)(892, 1192)(893, 1193)(894, 1194)(895, 1195)(896, 1196)(897, 1197)(898, 1198)(899, 1199)(900, 1200)
	L = (1, 603)(2, 606)(3, 601)(4, 609)(5, 612)(6, 602)(7, 616)(8, 617)(9, 604)(10, 621)(11, 622)(12, 605)(13, 626)(14, 627)(15, 629)(16, 607)(17, 608)(18, 634)(19, 635)(20, 636)(21, 610)(22, 611)(23, 637)(24, 638)(25, 639)(26, 613)(27, 614)(28, 644)(29, 615)(30, 648)(31, 649)(32, 651)(33, 652)(34, 618)(35, 619)(36, 620)(37, 623)(38, 624)(39, 625)(40, 664)(41, 665)(42, 667)(43, 668)(44, 628)(45, 669)(46, 670)(47, 671)(48, 630)(49, 631)(50, 676)(51, 632)(52, 633)(53, 680)(54, 681)(55, 682)(56, 672)(57, 683)(58, 684)(59, 685)(60, 686)(61, 687)(62, 688)(63, 689)(64, 640)(65, 641)(66, 693)(67, 642)(68, 643)(69, 645)(70, 646)(71, 647)(72, 656)(73, 702)(74, 703)(75, 704)(76, 650)(77, 705)(78, 706)(79, 707)(80, 653)(81, 654)(82, 655)(83, 657)(84, 658)(85, 659)(86, 660)(87, 661)(88, 662)(89, 663)(90, 721)(91, 722)(92, 723)(93, 666)(94, 724)(95, 725)(96, 726)(97, 727)(98, 728)(99, 729)(100, 730)(101, 731)(102, 673)(103, 674)(104, 675)(105, 677)(106, 678)(107, 679)(108, 741)(109, 742)(110, 743)(111, 744)(112, 745)(113, 746)(114, 747)(115, 748)(116, 749)(117, 750)(118, 751)(119, 752)(120, 753)(121, 690)(122, 691)(123, 692)(124, 694)(125, 695)(126, 696)(127, 697)(128, 698)(129, 699)(130, 700)(131, 701)(132, 770)(133, 771)(134, 772)(135, 773)(136, 774)(137, 775)(138, 776)(139, 777)(140, 778)(141, 708)(142, 709)(143, 710)(144, 711)(145, 712)(146, 713)(147, 714)(148, 715)(149, 716)(150, 717)(151, 718)(152, 719)(153, 720)(154, 796)(155, 797)(156, 798)(157, 799)(158, 800)(159, 801)(160, 802)(161, 803)(162, 804)(163, 805)(164, 806)(165, 807)(166, 808)(167, 809)(168, 810)(169, 811)(170, 732)(171, 733)(172, 734)(173, 735)(174, 736)(175, 737)(176, 738)(177, 739)(178, 740)(179, 822)(180, 819)(181, 823)(182, 824)(183, 812)(184, 825)(185, 826)(186, 827)(187, 828)(188, 829)(189, 830)(190, 831)(191, 832)(192, 833)(193, 834)(194, 835)(195, 836)(196, 754)(197, 755)(198, 756)(199, 757)(200, 758)(201, 759)(202, 760)(203, 761)(204, 762)(205, 763)(206, 764)(207, 765)(208, 766)(209, 767)(210, 768)(211, 769)(212, 783)(213, 850)(214, 851)(215, 852)(216, 853)(217, 854)(218, 855)(219, 780)(220, 856)(221, 857)(222, 779)(223, 781)(224, 782)(225, 784)(226, 785)(227, 786)(228, 787)(229, 788)(230, 789)(231, 790)(232, 791)(233, 792)(234, 793)(235, 794)(236, 795)(237, 867)(238, 868)(239, 869)(240, 870)(241, 871)(242, 872)(243, 873)(244, 874)(245, 875)(246, 876)(247, 877)(248, 878)(249, 879)(250, 813)(251, 814)(252, 815)(253, 816)(254, 817)(255, 818)(256, 820)(257, 821)(258, 882)(259, 884)(260, 885)(261, 886)(262, 887)(263, 888)(264, 889)(265, 890)(266, 891)(267, 837)(268, 838)(269, 839)(270, 840)(271, 841)(272, 842)(273, 843)(274, 844)(275, 845)(276, 846)(277, 847)(278, 848)(279, 849)(280, 895)(281, 896)(282, 858)(283, 897)(284, 859)(285, 860)(286, 861)(287, 862)(288, 863)(289, 864)(290, 865)(291, 866)(292, 898)(293, 899)(294, 900)(295, 880)(296, 881)(297, 883)(298, 892)(299, 893)(300, 894)(301, 901)(302, 902)(303, 903)(304, 904)(305, 905)(306, 906)(307, 907)(308, 908)(309, 909)(310, 910)(311, 911)(312, 912)(313, 913)(314, 914)(315, 915)(316, 916)(317, 917)(318, 918)(319, 919)(320, 920)(321, 921)(322, 922)(323, 923)(324, 924)(325, 925)(326, 926)(327, 927)(328, 928)(329, 929)(330, 930)(331, 931)(332, 932)(333, 933)(334, 934)(335, 935)(336, 936)(337, 937)(338, 938)(339, 939)(340, 940)(341, 941)(342, 942)(343, 943)(344, 944)(345, 945)(346, 946)(347, 947)(348, 948)(349, 949)(350, 950)(351, 951)(352, 952)(353, 953)(354, 954)(355, 955)(356, 956)(357, 957)(358, 958)(359, 959)(360, 960)(361, 961)(362, 962)(363, 963)(364, 964)(365, 965)(366, 966)(367, 967)(368, 968)(369, 969)(370, 970)(371, 971)(372, 972)(373, 973)(374, 974)(375, 975)(376, 976)(377, 977)(378, 978)(379, 979)(380, 980)(381, 981)(382, 982)(383, 983)(384, 984)(385, 985)(386, 986)(387, 987)(388, 988)(389, 989)(390, 990)(391, 991)(392, 992)(393, 993)(394, 994)(395, 995)(396, 996)(397, 997)(398, 998)(399, 999)(400, 1000)(401, 1001)(402, 1002)(403, 1003)(404, 1004)(405, 1005)(406, 1006)(407, 1007)(408, 1008)(409, 1009)(410, 1010)(411, 1011)(412, 1012)(413, 1013)(414, 1014)(415, 1015)(416, 1016)(417, 1017)(418, 1018)(419, 1019)(420, 1020)(421, 1021)(422, 1022)(423, 1023)(424, 1024)(425, 1025)(426, 1026)(427, 1027)(428, 1028)(429, 1029)(430, 1030)(431, 1031)(432, 1032)(433, 1033)(434, 1034)(435, 1035)(436, 1036)(437, 1037)(438, 1038)(439, 1039)(440, 1040)(441, 1041)(442, 1042)(443, 1043)(444, 1044)(445, 1045)(446, 1046)(447, 1047)(448, 1048)(449, 1049)(450, 1050)(451, 1051)(452, 1052)(453, 1053)(454, 1054)(455, 1055)(456, 1056)(457, 1057)(458, 1058)(459, 1059)(460, 1060)(461, 1061)(462, 1062)(463, 1063)(464, 1064)(465, 1065)(466, 1066)(467, 1067)(468, 1068)(469, 1069)(470, 1070)(471, 1071)(472, 1072)(473, 1073)(474, 1074)(475, 1075)(476, 1076)(477, 1077)(478, 1078)(479, 1079)(480, 1080)(481, 1081)(482, 1082)(483, 1083)(484, 1084)(485, 1085)(486, 1086)(487, 1087)(488, 1088)(489, 1089)(490, 1090)(491, 1091)(492, 1092)(493, 1093)(494, 1094)(495, 1095)(496, 1096)(497, 1097)(498, 1098)(499, 1099)(500, 1100)(501, 1101)(502, 1102)(503, 1103)(504, 1104)(505, 1105)(506, 1106)(507, 1107)(508, 1108)(509, 1109)(510, 1110)(511, 1111)(512, 1112)(513, 1113)(514, 1114)(515, 1115)(516, 1116)(517, 1117)(518, 1118)(519, 1119)(520, 1120)(521, 1121)(522, 1122)(523, 1123)(524, 1124)(525, 1125)(526, 1126)(527, 1127)(528, 1128)(529, 1129)(530, 1130)(531, 1131)(532, 1132)(533, 1133)(534, 1134)(535, 1135)(536, 1136)(537, 1137)(538, 1138)(539, 1139)(540, 1140)(541, 1141)(542, 1142)(543, 1143)(544, 1144)(545, 1145)(546, 1146)(547, 1147)(548, 1148)(549, 1149)(550, 1150)(551, 1151)(552, 1152)(553, 1153)(554, 1154)(555, 1155)(556, 1156)(557, 1157)(558, 1158)(559, 1159)(560, 1160)(561, 1161)(562, 1162)(563, 1163)(564, 1164)(565, 1165)(566, 1166)(567, 1167)(568, 1168)(569, 1169)(570, 1170)(571, 1171)(572, 1172)(573, 1173)(574, 1174)(575, 1175)(576, 1176)(577, 1177)(578, 1178)(579, 1179)(580, 1180)(581, 1181)(582, 1182)(583, 1183)(584, 1184)(585, 1185)(586, 1186)(587, 1187)(588, 1188)(589, 1189)(590, 1190)(591, 1191)(592, 1192)(593, 1193)(594, 1194)(595, 1195)(596, 1196)(597, 1197)(598, 1198)(599, 1199)(600, 1200)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E26.1507
Graph:: simple bipartite
	v = 350 e = 600 f = 200
	degree seq :: [ 2^300, 12^50 ]

E26.1511 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x (((C5 x C5) : C3) : C2) (small group id <300, 27>)
Aut   = $<600, 154>$ (small group id <600, 154>)
|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, (Y1^-2 * Y3 * Y1^-1 * Y3)^2, (Y1 * Y3 * Y1 * Y3 * Y1)^2, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^3 * Y3 * Y1, (Y3 * Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1)^2, Y1^-2 * Y3 * Y1^3 * Y3 * Y1^2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^-1, Y3 * Y1^-2 * Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1^3 * Y3 * Y1^-3 * Y3 * Y1^-3 ]
Map:: polytopal
	R = (1, 301, 2, 302, 5, 305, 11, 311, 10, 310, 4, 304)(3, 303, 7, 307, 15, 315, 29, 329, 18, 318, 8, 308)(6, 306, 13, 313, 25, 325, 48, 348, 28, 328, 14, 314)(9, 309, 19, 319, 36, 336, 66, 366, 39, 339, 20, 320)(12, 312, 23, 323, 44, 344, 78, 378, 47, 347, 24, 324)(16, 316, 31, 331, 58, 358, 98, 398, 61, 361, 32, 332)(17, 317, 33, 333, 62, 362, 80, 380, 45, 345, 34, 334)(21, 321, 40, 340, 71, 371, 112, 412, 73, 373, 41, 341)(22, 322, 42, 342, 74, 374, 115, 415, 77, 377, 43, 343)(26, 326, 50, 350, 38, 338, 70, 370, 88, 388, 51, 351)(27, 327, 52, 352, 89, 389, 117, 417, 75, 375, 53, 353)(30, 330, 56, 356, 95, 395, 140, 440, 97, 397, 57, 357)(35, 335, 65, 365, 105, 405, 130, 430, 85, 385, 49, 349)(37, 337, 68, 368, 76, 376, 118, 418, 111, 411, 69, 369)(46, 346, 81, 381, 123, 423, 114, 414, 72, 372, 82, 382)(54, 354, 92, 392, 135, 435, 167, 467, 121, 421, 79, 379)(55, 355, 93, 393, 137, 437, 181, 481, 139, 439, 94, 394)(59, 359, 86, 386, 64, 364, 91, 391, 125, 425, 99, 399)(60, 360, 100, 400, 145, 445, 183, 483, 138, 438, 101, 401)(63, 363, 87, 387, 131, 431, 177, 477, 148, 448, 104, 404)(67, 367, 108, 408, 152, 452, 198, 498, 153, 453, 109, 409)(83, 383, 126, 426, 171, 471, 210, 510, 160, 460, 116, 416)(84, 384, 127, 427, 173, 473, 223, 523, 174, 474, 128, 428)(90, 390, 122, 422, 168, 468, 219, 519, 178, 478, 134, 434)(96, 396, 142, 442, 187, 487, 150, 450, 106, 406, 132, 432)(102, 402, 147, 447, 193, 493, 240, 540, 186, 486, 141, 441)(103, 403, 129, 429, 175, 475, 226, 526, 180, 480, 136, 436)(107, 407, 151, 451, 197, 497, 246, 546, 192, 492, 146, 446)(110, 410, 154, 454, 201, 501, 245, 545, 190, 490, 144, 444)(113, 413, 119, 419, 163, 463, 213, 513, 205, 505, 157, 457)(120, 420, 164, 464, 215, 515, 269, 569, 216, 516, 165, 465)(124, 424, 161, 461, 211, 511, 265, 565, 220, 520, 170, 470)(133, 433, 166, 466, 217, 517, 272, 572, 222, 522, 172, 472)(143, 443, 189, 489, 243, 543, 267, 567, 234, 534, 182, 482)(149, 449, 184, 484, 236, 536, 264, 564, 249, 549, 195, 495)(155, 455, 203, 503, 257, 557, 279, 579, 253, 553, 199, 499)(156, 456, 204, 504, 258, 558, 282, 582, 256, 556, 202, 502)(158, 458, 206, 506, 260, 560, 266, 566, 212, 512, 162, 462)(159, 459, 207, 507, 261, 561, 241, 541, 262, 562, 208, 508)(169, 469, 209, 509, 263, 563, 233, 533, 268, 568, 214, 514)(176, 476, 228, 528, 284, 584, 252, 552, 280, 580, 224, 524)(179, 479, 225, 525, 281, 581, 259, 559, 287, 587, 231, 531)(185, 485, 237, 537, 270, 570, 218, 518, 274, 574, 238, 538)(188, 488, 235, 535, 289, 589, 300, 600, 290, 590, 242, 542)(191, 491, 239, 539, 273, 573, 230, 530, 286, 586, 244, 544)(194, 494, 248, 548, 293, 593, 255, 555, 283, 583, 227, 527)(196, 496, 250, 550, 276, 576, 298, 598, 285, 585, 229, 529)(200, 500, 254, 554, 277, 577, 221, 521, 271, 571, 251, 551)(232, 532, 288, 588, 296, 596, 291, 591, 297, 597, 275, 575)(247, 547, 292, 592, 299, 599, 294, 594, 295, 595, 278, 578)(601, 901)(602, 902)(603, 903)(604, 904)(605, 905)(606, 906)(607, 907)(608, 908)(609, 909)(610, 910)(611, 911)(612, 912)(613, 913)(614, 914)(615, 915)(616, 916)(617, 917)(618, 918)(619, 919)(620, 920)(621, 921)(622, 922)(623, 923)(624, 924)(625, 925)(626, 926)(627, 927)(628, 928)(629, 929)(630, 930)(631, 931)(632, 932)(633, 933)(634, 934)(635, 935)(636, 936)(637, 937)(638, 938)(639, 939)(640, 940)(641, 941)(642, 942)(643, 943)(644, 944)(645, 945)(646, 946)(647, 947)(648, 948)(649, 949)(650, 950)(651, 951)(652, 952)(653, 953)(654, 954)(655, 955)(656, 956)(657, 957)(658, 958)(659, 959)(660, 960)(661, 961)(662, 962)(663, 963)(664, 964)(665, 965)(666, 966)(667, 967)(668, 968)(669, 969)(670, 970)(671, 971)(672, 972)(673, 973)(674, 974)(675, 975)(676, 976)(677, 977)(678, 978)(679, 979)(680, 980)(681, 981)(682, 982)(683, 983)(684, 984)(685, 985)(686, 986)(687, 987)(688, 988)(689, 989)(690, 990)(691, 991)(692, 992)(693, 993)(694, 994)(695, 995)(696, 996)(697, 997)(698, 998)(699, 999)(700, 1000)(701, 1001)(702, 1002)(703, 1003)(704, 1004)(705, 1005)(706, 1006)(707, 1007)(708, 1008)(709, 1009)(710, 1010)(711, 1011)(712, 1012)(713, 1013)(714, 1014)(715, 1015)(716, 1016)(717, 1017)(718, 1018)(719, 1019)(720, 1020)(721, 1021)(722, 1022)(723, 1023)(724, 1024)(725, 1025)(726, 1026)(727, 1027)(728, 1028)(729, 1029)(730, 1030)(731, 1031)(732, 1032)(733, 1033)(734, 1034)(735, 1035)(736, 1036)(737, 1037)(738, 1038)(739, 1039)(740, 1040)(741, 1041)(742, 1042)(743, 1043)(744, 1044)(745, 1045)(746, 1046)(747, 1047)(748, 1048)(749, 1049)(750, 1050)(751, 1051)(752, 1052)(753, 1053)(754, 1054)(755, 1055)(756, 1056)(757, 1057)(758, 1058)(759, 1059)(760, 1060)(761, 1061)(762, 1062)(763, 1063)(764, 1064)(765, 1065)(766, 1066)(767, 1067)(768, 1068)(769, 1069)(770, 1070)(771, 1071)(772, 1072)(773, 1073)(774, 1074)(775, 1075)(776, 1076)(777, 1077)(778, 1078)(779, 1079)(780, 1080)(781, 1081)(782, 1082)(783, 1083)(784, 1084)(785, 1085)(786, 1086)(787, 1087)(788, 1088)(789, 1089)(790, 1090)(791, 1091)(792, 1092)(793, 1093)(794, 1094)(795, 1095)(796, 1096)(797, 1097)(798, 1098)(799, 1099)(800, 1100)(801, 1101)(802, 1102)(803, 1103)(804, 1104)(805, 1105)(806, 1106)(807, 1107)(808, 1108)(809, 1109)(810, 1110)(811, 1111)(812, 1112)(813, 1113)(814, 1114)(815, 1115)(816, 1116)(817, 1117)(818, 1118)(819, 1119)(820, 1120)(821, 1121)(822, 1122)(823, 1123)(824, 1124)(825, 1125)(826, 1126)(827, 1127)(828, 1128)(829, 1129)(830, 1130)(831, 1131)(832, 1132)(833, 1133)(834, 1134)(835, 1135)(836, 1136)(837, 1137)(838, 1138)(839, 1139)(840, 1140)(841, 1141)(842, 1142)(843, 1143)(844, 1144)(845, 1145)(846, 1146)(847, 1147)(848, 1148)(849, 1149)(850, 1150)(851, 1151)(852, 1152)(853, 1153)(854, 1154)(855, 1155)(856, 1156)(857, 1157)(858, 1158)(859, 1159)(860, 1160)(861, 1161)(862, 1162)(863, 1163)(864, 1164)(865, 1165)(866, 1166)(867, 1167)(868, 1168)(869, 1169)(870, 1170)(871, 1171)(872, 1172)(873, 1173)(874, 1174)(875, 1175)(876, 1176)(877, 1177)(878, 1178)(879, 1179)(880, 1180)(881, 1181)(882, 1182)(883, 1183)(884, 1184)(885, 1185)(886, 1186)(887, 1187)(888, 1188)(889, 1189)(890, 1190)(891, 1191)(892, 1192)(893, 1193)(894, 1194)(895, 1195)(896, 1196)(897, 1197)(898, 1198)(899, 1199)(900, 1200)
	L = (1, 603)(2, 606)(3, 601)(4, 609)(5, 612)(6, 602)(7, 616)(8, 617)(9, 604)(10, 621)(11, 622)(12, 605)(13, 626)(14, 627)(15, 630)(16, 607)(17, 608)(18, 635)(19, 637)(20, 638)(21, 610)(22, 611)(23, 645)(24, 646)(25, 649)(26, 613)(27, 614)(28, 654)(29, 655)(30, 615)(31, 659)(32, 660)(33, 663)(34, 664)(35, 618)(36, 667)(37, 619)(38, 620)(39, 656)(40, 672)(41, 658)(42, 675)(43, 676)(44, 679)(45, 623)(46, 624)(47, 683)(48, 684)(49, 625)(50, 686)(51, 687)(52, 690)(53, 691)(54, 628)(55, 629)(56, 639)(57, 696)(58, 641)(59, 631)(60, 632)(61, 702)(62, 703)(63, 633)(64, 634)(65, 706)(66, 707)(67, 636)(68, 699)(69, 710)(70, 701)(71, 713)(72, 640)(73, 708)(74, 716)(75, 642)(76, 643)(77, 719)(78, 720)(79, 644)(80, 722)(81, 724)(82, 725)(83, 647)(84, 648)(85, 729)(86, 650)(87, 651)(88, 732)(89, 733)(90, 652)(91, 653)(92, 736)(93, 738)(94, 731)(95, 741)(96, 657)(97, 743)(98, 744)(99, 668)(100, 746)(101, 670)(102, 661)(103, 662)(104, 727)(105, 749)(106, 665)(107, 666)(108, 673)(109, 747)(110, 669)(111, 755)(112, 756)(113, 671)(114, 758)(115, 759)(116, 674)(117, 761)(118, 762)(119, 677)(120, 678)(121, 766)(122, 680)(123, 769)(124, 681)(125, 682)(126, 772)(127, 704)(128, 768)(129, 685)(130, 776)(131, 694)(132, 688)(133, 689)(134, 764)(135, 779)(136, 692)(137, 782)(138, 693)(139, 784)(140, 785)(141, 695)(142, 788)(143, 697)(144, 698)(145, 791)(146, 700)(147, 709)(148, 794)(149, 705)(150, 796)(151, 790)(152, 799)(153, 800)(154, 802)(155, 711)(156, 712)(157, 803)(158, 714)(159, 715)(160, 809)(161, 717)(162, 718)(163, 814)(164, 734)(165, 811)(166, 721)(167, 818)(168, 728)(169, 723)(170, 807)(171, 821)(172, 726)(173, 824)(174, 825)(175, 827)(176, 730)(177, 829)(178, 830)(179, 735)(180, 832)(181, 833)(182, 737)(183, 835)(184, 739)(185, 740)(186, 839)(187, 841)(188, 742)(189, 844)(190, 751)(191, 745)(192, 837)(193, 847)(194, 748)(195, 848)(196, 750)(197, 851)(198, 852)(199, 752)(200, 753)(201, 855)(202, 754)(203, 757)(204, 812)(205, 859)(206, 808)(207, 770)(208, 806)(209, 760)(210, 864)(211, 765)(212, 804)(213, 867)(214, 763)(215, 870)(216, 871)(217, 873)(218, 767)(219, 875)(220, 876)(221, 771)(222, 878)(223, 879)(224, 773)(225, 774)(226, 882)(227, 775)(228, 885)(229, 777)(230, 778)(231, 886)(232, 780)(233, 781)(234, 862)(235, 783)(236, 861)(237, 792)(238, 889)(239, 786)(240, 869)(241, 787)(242, 868)(243, 891)(244, 789)(245, 892)(246, 872)(247, 793)(248, 795)(249, 894)(250, 863)(251, 797)(252, 798)(253, 883)(254, 893)(255, 801)(256, 880)(257, 888)(258, 881)(259, 805)(260, 890)(261, 836)(262, 834)(263, 850)(264, 810)(265, 895)(266, 896)(267, 813)(268, 842)(269, 840)(270, 815)(271, 816)(272, 846)(273, 817)(274, 897)(275, 819)(276, 820)(277, 898)(278, 822)(279, 823)(280, 856)(281, 858)(282, 826)(283, 853)(284, 899)(285, 828)(286, 831)(287, 900)(288, 857)(289, 838)(290, 860)(291, 843)(292, 845)(293, 854)(294, 849)(295, 865)(296, 866)(297, 874)(298, 877)(299, 884)(300, 887)(301, 901)(302, 902)(303, 903)(304, 904)(305, 905)(306, 906)(307, 907)(308, 908)(309, 909)(310, 910)(311, 911)(312, 912)(313, 913)(314, 914)(315, 915)(316, 916)(317, 917)(318, 918)(319, 919)(320, 920)(321, 921)(322, 922)(323, 923)(324, 924)(325, 925)(326, 926)(327, 927)(328, 928)(329, 929)(330, 930)(331, 931)(332, 932)(333, 933)(334, 934)(335, 935)(336, 936)(337, 937)(338, 938)(339, 939)(340, 940)(341, 941)(342, 942)(343, 943)(344, 944)(345, 945)(346, 946)(347, 947)(348, 948)(349, 949)(350, 950)(351, 951)(352, 952)(353, 953)(354, 954)(355, 955)(356, 956)(357, 957)(358, 958)(359, 959)(360, 960)(361, 961)(362, 962)(363, 963)(364, 964)(365, 965)(366, 966)(367, 967)(368, 968)(369, 969)(370, 970)(371, 971)(372, 972)(373, 973)(374, 974)(375, 975)(376, 976)(377, 977)(378, 978)(379, 979)(380, 980)(381, 981)(382, 982)(383, 983)(384, 984)(385, 985)(386, 986)(387, 987)(388, 988)(389, 989)(390, 990)(391, 991)(392, 992)(393, 993)(394, 994)(395, 995)(396, 996)(397, 997)(398, 998)(399, 999)(400, 1000)(401, 1001)(402, 1002)(403, 1003)(404, 1004)(405, 1005)(406, 1006)(407, 1007)(408, 1008)(409, 1009)(410, 1010)(411, 1011)(412, 1012)(413, 1013)(414, 1014)(415, 1015)(416, 1016)(417, 1017)(418, 1018)(419, 1019)(420, 1020)(421, 1021)(422, 1022)(423, 1023)(424, 1024)(425, 1025)(426, 1026)(427, 1027)(428, 1028)(429, 1029)(430, 1030)(431, 1031)(432, 1032)(433, 1033)(434, 1034)(435, 1035)(436, 1036)(437, 1037)(438, 1038)(439, 1039)(440, 1040)(441, 1041)(442, 1042)(443, 1043)(444, 1044)(445, 1045)(446, 1046)(447, 1047)(448, 1048)(449, 1049)(450, 1050)(451, 1051)(452, 1052)(453, 1053)(454, 1054)(455, 1055)(456, 1056)(457, 1057)(458, 1058)(459, 1059)(460, 1060)(461, 1061)(462, 1062)(463, 1063)(464, 1064)(465, 1065)(466, 1066)(467, 1067)(468, 1068)(469, 1069)(470, 1070)(471, 1071)(472, 1072)(473, 1073)(474, 1074)(475, 1075)(476, 1076)(477, 1077)(478, 1078)(479, 1079)(480, 1080)(481, 1081)(482, 1082)(483, 1083)(484, 1084)(485, 1085)(486, 1086)(487, 1087)(488, 1088)(489, 1089)(490, 1090)(491, 1091)(492, 1092)(493, 1093)(494, 1094)(495, 1095)(496, 1096)(497, 1097)(498, 1098)(499, 1099)(500, 1100)(501, 1101)(502, 1102)(503, 1103)(504, 1104)(505, 1105)(506, 1106)(507, 1107)(508, 1108)(509, 1109)(510, 1110)(511, 1111)(512, 1112)(513, 1113)(514, 1114)(515, 1115)(516, 1116)(517, 1117)(518, 1118)(519, 1119)(520, 1120)(521, 1121)(522, 1122)(523, 1123)(524, 1124)(525, 1125)(526, 1126)(527, 1127)(528, 1128)(529, 1129)(530, 1130)(531, 1131)(532, 1132)(533, 1133)(534, 1134)(535, 1135)(536, 1136)(537, 1137)(538, 1138)(539, 1139)(540, 1140)(541, 1141)(542, 1142)(543, 1143)(544, 1144)(545, 1145)(546, 1146)(547, 1147)(548, 1148)(549, 1149)(550, 1150)(551, 1151)(552, 1152)(553, 1153)(554, 1154)(555, 1155)(556, 1156)(557, 1157)(558, 1158)(559, 1159)(560, 1160)(561, 1161)(562, 1162)(563, 1163)(564, 1164)(565, 1165)(566, 1166)(567, 1167)(568, 1168)(569, 1169)(570, 1170)(571, 1171)(572, 1172)(573, 1173)(574, 1174)(575, 1175)(576, 1176)(577, 1177)(578, 1178)(579, 1179)(580, 1180)(581, 1181)(582, 1182)(583, 1183)(584, 1184)(585, 1185)(586, 1186)(587, 1187)(588, 1188)(589, 1189)(590, 1190)(591, 1191)(592, 1192)(593, 1193)(594, 1194)(595, 1195)(596, 1196)(597, 1197)(598, 1198)(599, 1199)(600, 1200)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E26.1506
Graph:: simple bipartite
	v = 350 e = 600 f = 200
	degree seq :: [ 2^300, 12^50 ]

E26.1512 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 3, 5})
Quotient :: edge
Aut^+ = ((C5 x C5) : C5) : C3 (small group id <375, 2>)
Aut   = $<750, 5>$ (small group id <750, 5>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^5, (T1^-1 * T2^-1)^3, T2^-1 * T1 * T2^2 * T1 * T2^-2 * T1^-1 * T2 * T1^-1 * T2^-1, T2^-1 * T1 * T2^-1 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-1 * T2^2 * T1^-1, T2 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 9, 15, 5)(2, 6, 17, 21, 7)(4, 11, 29, 32, 12)(8, 22, 48, 51, 23)(10, 26, 57, 60, 27)(13, 33, 71, 75, 34)(14, 35, 77, 38, 16)(18, 41, 89, 92, 42)(19, 43, 94, 98, 44)(20, 45, 100, 61, 28)(24, 52, 112, 115, 53)(25, 54, 117, 120, 55)(30, 64, 137, 140, 65)(31, 66, 142, 146, 67)(36, 79, 165, 168, 80)(37, 81, 170, 150, 70)(39, 84, 175, 113, 85)(40, 86, 179, 128, 87)(46, 102, 205, 208, 103)(47, 104, 210, 191, 93)(49, 107, 151, 217, 108)(50, 109, 219, 121, 56)(58, 124, 235, 237, 125)(59, 126, 239, 242, 127)(62, 132, 246, 176, 133)(63, 134, 248, 189, 135)(68, 147, 152, 266, 148)(69, 149, 171, 255, 141)(72, 153, 269, 271, 154)(73, 155, 222, 241, 156)(74, 157, 206, 160, 76)(78, 163, 238, 129, 164)(82, 172, 192, 286, 173)(83, 174, 118, 182, 88)(90, 185, 231, 299, 186)(91, 187, 301, 304, 188)(95, 193, 306, 308, 194)(96, 195, 289, 303, 196)(97, 197, 264, 200, 99)(101, 203, 300, 190, 204)(105, 145, 261, 166, 211)(106, 212, 320, 230, 213)(110, 221, 327, 313, 202)(111, 161, 277, 322, 214)(114, 224, 331, 226, 116)(119, 229, 336, 309, 198)(122, 232, 311, 318, 233)(123, 234, 338, 262, 181)(130, 243, 256, 343, 244)(131, 245, 180, 250, 136)(138, 236, 295, 350, 252)(139, 253, 351, 353, 254)(143, 257, 334, 354, 258)(144, 259, 345, 273, 260)(158, 249, 184, 298, 274)(159, 227, 288, 344, 272)(162, 201, 312, 356, 278)(167, 281, 357, 283, 169)(177, 291, 360, 292, 178)(183, 296, 319, 275, 297)(199, 293, 325, 218, 216)(207, 315, 364, 317, 209)(215, 323, 366, 367, 324)(220, 287, 285, 263, 326)(223, 328, 302, 268, 329)(225, 333, 369, 347, 247)(228, 335, 370, 340, 321)(240, 339, 359, 346, 307)(251, 279, 276, 310, 349)(265, 341, 368, 332, 267)(270, 352, 305, 330, 290)(280, 294, 361, 373, 358)(282, 284, 355, 371, 337)(314, 348, 372, 375, 365)(316, 342, 363, 374, 362)(376, 377, 379)(378, 383, 385)(380, 388, 389)(381, 391, 393)(382, 394, 395)(384, 399, 400)(386, 403, 405)(387, 406, 397)(390, 411, 412)(392, 414, 415)(396, 421, 422)(398, 424, 425)(401, 431, 433)(402, 434, 427)(404, 437, 438)(407, 443, 444)(408, 445, 447)(409, 448, 449)(410, 451, 453)(413, 457, 458)(416, 463, 465)(417, 466, 459)(418, 468, 470)(419, 471, 472)(420, 474, 476)(423, 480, 481)(426, 485, 486)(428, 488, 489)(429, 491, 493)(430, 494, 454)(432, 497, 498)(435, 503, 504)(436, 505, 506)(439, 511, 513)(440, 514, 507)(441, 516, 518)(442, 519, 520)(446, 526, 527)(450, 533, 534)(452, 536, 537)(455, 541, 542)(456, 544, 546)(460, 551, 552)(461, 553, 555)(462, 556, 477)(464, 558, 559)(467, 564, 565)(469, 567, 540)(473, 573, 574)(475, 576, 577)(478, 581, 582)(479, 584, 545)(482, 589, 590)(483, 570, 591)(484, 593, 595)(487, 597, 598)(490, 600, 508)(492, 602, 603)(495, 605, 515)(496, 568, 606)(499, 560, 611)(500, 578, 607)(501, 613, 615)(502, 572, 616)(509, 622, 594)(510, 624, 522)(512, 626, 604)(517, 631, 580)(521, 637, 638)(523, 639, 640)(524, 642, 585)(525, 643, 612)(528, 610, 625)(529, 645, 592)(530, 647, 619)(531, 571, 635)(532, 648, 629)(535, 650, 651)(538, 654, 627)(539, 655, 652)(543, 657, 608)(547, 653, 659)(548, 634, 660)(549, 662, 663)(550, 664, 665)(554, 668, 669)(557, 632, 670)(561, 587, 671)(562, 675, 677)(563, 636, 678)(566, 680, 674)(569, 682, 661)(575, 685, 686)(579, 689, 687)(583, 691, 672)(586, 693, 694)(588, 696, 596)(599, 705, 707)(601, 698, 709)(609, 712, 706)(614, 683, 702)(617, 715, 716)(618, 688, 717)(620, 719, 700)(621, 720, 721)(623, 701, 723)(628, 695, 727)(630, 714, 725)(633, 703, 718)(641, 699, 724)(644, 667, 730)(646, 731, 726)(649, 732, 710)(656, 679, 733)(658, 666, 734)(673, 737, 735)(676, 729, 697)(681, 722, 738)(684, 739, 736)(690, 728, 740)(692, 708, 704)(711, 742, 744)(713, 743, 747)(741, 746, 749)(745, 748, 750)
	L = (1, 376)(2, 377)(3, 378)(4, 379)(5, 380)(6, 381)(7, 382)(8, 383)(9, 384)(10, 385)(11, 386)(12, 387)(13, 388)(14, 389)(15, 390)(16, 391)(17, 392)(18, 393)(19, 394)(20, 395)(21, 396)(22, 397)(23, 398)(24, 399)(25, 400)(26, 401)(27, 402)(28, 403)(29, 404)(30, 405)(31, 406)(32, 407)(33, 408)(34, 409)(35, 410)(36, 411)(37, 412)(38, 413)(39, 414)(40, 415)(41, 416)(42, 417)(43, 418)(44, 419)(45, 420)(46, 421)(47, 422)(48, 423)(49, 424)(50, 425)(51, 426)(52, 427)(53, 428)(54, 429)(55, 430)(56, 431)(57, 432)(58, 433)(59, 434)(60, 435)(61, 436)(62, 437)(63, 438)(64, 439)(65, 440)(66, 441)(67, 442)(68, 443)(69, 444)(70, 445)(71, 446)(72, 447)(73, 448)(74, 449)(75, 450)(76, 451)(77, 452)(78, 453)(79, 454)(80, 455)(81, 456)(82, 457)(83, 458)(84, 459)(85, 460)(86, 461)(87, 462)(88, 463)(89, 464)(90, 465)(91, 466)(92, 467)(93, 468)(94, 469)(95, 470)(96, 471)(97, 472)(98, 473)(99, 474)(100, 475)(101, 476)(102, 477)(103, 478)(104, 479)(105, 480)(106, 481)(107, 482)(108, 483)(109, 484)(110, 485)(111, 486)(112, 487)(113, 488)(114, 489)(115, 490)(116, 491)(117, 492)(118, 493)(119, 494)(120, 495)(121, 496)(122, 497)(123, 498)(124, 499)(125, 500)(126, 501)(127, 502)(128, 503)(129, 504)(130, 505)(131, 506)(132, 507)(133, 508)(134, 509)(135, 510)(136, 511)(137, 512)(138, 513)(139, 514)(140, 515)(141, 516)(142, 517)(143, 518)(144, 519)(145, 520)(146, 521)(147, 522)(148, 523)(149, 524)(150, 525)(151, 526)(152, 527)(153, 528)(154, 529)(155, 530)(156, 531)(157, 532)(158, 533)(159, 534)(160, 535)(161, 536)(162, 537)(163, 538)(164, 539)(165, 540)(166, 541)(167, 542)(168, 543)(169, 544)(170, 545)(171, 546)(172, 547)(173, 548)(174, 549)(175, 550)(176, 551)(177, 552)(178, 553)(179, 554)(180, 555)(181, 556)(182, 557)(183, 558)(184, 559)(185, 560)(186, 561)(187, 562)(188, 563)(189, 564)(190, 565)(191, 566)(192, 567)(193, 568)(194, 569)(195, 570)(196, 571)(197, 572)(198, 573)(199, 574)(200, 575)(201, 576)(202, 577)(203, 578)(204, 579)(205, 580)(206, 581)(207, 582)(208, 583)(209, 584)(210, 585)(211, 586)(212, 587)(213, 588)(214, 589)(215, 590)(216, 591)(217, 592)(218, 593)(219, 594)(220, 595)(221, 596)(222, 597)(223, 598)(224, 599)(225, 600)(226, 601)(227, 602)(228, 603)(229, 604)(230, 605)(231, 606)(232, 607)(233, 608)(234, 609)(235, 610)(236, 611)(237, 612)(238, 613)(239, 614)(240, 615)(241, 616)(242, 617)(243, 618)(244, 619)(245, 620)(246, 621)(247, 622)(248, 623)(249, 624)(250, 625)(251, 626)(252, 627)(253, 628)(254, 629)(255, 630)(256, 631)(257, 632)(258, 633)(259, 634)(260, 635)(261, 636)(262, 637)(263, 638)(264, 639)(265, 640)(266, 641)(267, 642)(268, 643)(269, 644)(270, 645)(271, 646)(272, 647)(273, 648)(274, 649)(275, 650)(276, 651)(277, 652)(278, 653)(279, 654)(280, 655)(281, 656)(282, 657)(283, 658)(284, 659)(285, 660)(286, 661)(287, 662)(288, 663)(289, 664)(290, 665)(291, 666)(292, 667)(293, 668)(294, 669)(295, 670)(296, 671)(297, 672)(298, 673)(299, 674)(300, 675)(301, 676)(302, 677)(303, 678)(304, 679)(305, 680)(306, 681)(307, 682)(308, 683)(309, 684)(310, 685)(311, 686)(312, 687)(313, 688)(314, 689)(315, 690)(316, 691)(317, 692)(318, 693)(319, 694)(320, 695)(321, 696)(322, 697)(323, 698)(324, 699)(325, 700)(326, 701)(327, 702)(328, 703)(329, 704)(330, 705)(331, 706)(332, 707)(333, 708)(334, 709)(335, 710)(336, 711)(337, 712)(338, 713)(339, 714)(340, 715)(341, 716)(342, 717)(343, 718)(344, 719)(345, 720)(346, 721)(347, 722)(348, 723)(349, 724)(350, 725)(351, 726)(352, 727)(353, 728)(354, 729)(355, 730)(356, 731)(357, 732)(358, 733)(359, 734)(360, 735)(361, 736)(362, 737)(363, 738)(364, 739)(365, 740)(366, 741)(367, 742)(368, 743)(369, 744)(370, 745)(371, 746)(372, 747)(373, 748)(374, 749)(375, 750)
	local type(s) :: { ( 6^3 ), ( 6^5 ) }
Outer automorphisms :: reflexible
Dual of E26.1513
Transitivity :: ET+
Graph:: simple bipartite
	v = 200 e = 375 f = 125
	degree seq :: [ 3^125, 5^75 ]

E26.1513 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 3, 5})
Quotient :: loop
Aut^+ = ((C5 x C5) : C5) : C3 (small group id <375, 2>)
Aut   = $<750, 5>$ (small group id <750, 5>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^5, T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1, T2 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-1, T2 * T1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 376, 3, 378, 5, 380)(2, 377, 6, 381, 7, 382)(4, 379, 10, 385, 11, 386)(8, 383, 18, 393, 19, 394)(9, 384, 20, 395, 21, 396)(12, 387, 26, 401, 27, 402)(13, 388, 28, 403, 29, 404)(14, 389, 30, 405, 31, 406)(15, 390, 32, 407, 33, 408)(16, 391, 34, 409, 35, 410)(17, 392, 36, 411, 37, 412)(22, 397, 46, 421, 47, 422)(23, 398, 48, 423, 49, 424)(24, 399, 50, 425, 51, 426)(25, 400, 52, 427, 53, 428)(38, 413, 78, 453, 79, 454)(39, 414, 80, 455, 81, 456)(40, 415, 82, 457, 83, 458)(41, 416, 84, 459, 85, 460)(42, 417, 86, 461, 87, 462)(43, 418, 88, 463, 89, 464)(44, 419, 90, 465, 91, 466)(45, 420, 92, 467, 93, 468)(54, 429, 109, 484, 110, 485)(55, 430, 111, 486, 112, 487)(56, 431, 113, 488, 114, 489)(57, 432, 115, 490, 116, 491)(58, 433, 117, 492, 118, 493)(59, 434, 119, 494, 120, 495)(60, 435, 121, 496, 122, 497)(61, 436, 123, 498, 62, 437)(63, 438, 124, 499, 125, 500)(64, 439, 126, 501, 127, 502)(65, 440, 128, 503, 129, 504)(66, 441, 130, 505, 131, 506)(67, 442, 132, 507, 133, 508)(68, 443, 134, 509, 135, 510)(69, 444, 136, 511, 137, 512)(70, 445, 138, 513, 139, 514)(71, 446, 140, 515, 141, 516)(72, 447, 142, 517, 143, 518)(73, 448, 144, 519, 145, 520)(74, 449, 146, 521, 147, 522)(75, 450, 148, 523, 149, 524)(76, 451, 150, 525, 151, 526)(77, 452, 152, 527, 94, 469)(95, 470, 177, 552, 178, 553)(96, 471, 179, 554, 180, 555)(97, 472, 181, 556, 182, 557)(98, 473, 183, 558, 184, 559)(99, 474, 169, 544, 185, 560)(100, 475, 186, 561, 187, 562)(101, 476, 188, 563, 189, 564)(102, 477, 190, 565, 191, 566)(103, 478, 192, 567, 193, 568)(104, 479, 194, 569, 195, 570)(105, 480, 196, 571, 197, 572)(106, 481, 198, 573, 199, 574)(107, 482, 200, 575, 201, 576)(108, 483, 202, 577, 203, 578)(153, 528, 253, 628, 252, 627)(154, 529, 237, 612, 236, 611)(155, 530, 265, 640, 266, 641)(156, 531, 217, 592, 267, 642)(157, 532, 268, 643, 269, 644)(158, 533, 270, 645, 229, 604)(159, 534, 228, 603, 271, 646)(160, 535, 215, 590, 243, 618)(161, 536, 222, 597, 272, 647)(162, 537, 273, 648, 256, 631)(163, 538, 218, 593, 239, 614)(164, 539, 274, 649, 275, 650)(165, 540, 264, 639, 166, 541)(167, 542, 276, 651, 277, 652)(168, 543, 278, 653, 279, 654)(170, 545, 280, 655, 227, 602)(171, 546, 226, 601, 281, 656)(172, 547, 282, 657, 242, 617)(173, 548, 283, 658, 284, 659)(174, 549, 285, 660, 286, 661)(175, 550, 287, 662, 288, 663)(176, 551, 289, 664, 246, 621)(204, 579, 312, 687, 313, 688)(205, 580, 314, 689, 235, 610)(206, 581, 234, 609, 257, 632)(207, 582, 301, 676, 249, 624)(208, 583, 315, 690, 311, 686)(209, 584, 310, 685, 316, 691)(210, 585, 231, 606, 255, 630)(211, 586, 317, 692, 318, 693)(212, 587, 263, 638, 213, 588)(214, 589, 319, 694, 244, 619)(216, 591, 293, 668, 320, 695)(219, 594, 321, 696, 309, 684)(220, 595, 308, 683, 259, 634)(221, 596, 258, 633, 322, 697)(223, 598, 250, 625, 323, 698)(224, 599, 305, 680, 304, 679)(225, 600, 296, 671, 295, 670)(230, 605, 292, 667, 324, 699)(232, 607, 261, 636, 325, 700)(233, 608, 326, 701, 306, 681)(238, 613, 327, 702, 328, 703)(240, 615, 329, 704, 291, 666)(241, 616, 290, 665, 330, 705)(245, 620, 331, 706, 332, 707)(247, 622, 333, 708, 334, 709)(248, 623, 335, 710, 294, 669)(251, 626, 336, 711, 337, 712)(254, 629, 338, 713, 298, 673)(260, 635, 307, 682, 339, 714)(262, 637, 302, 677, 340, 715)(297, 672, 350, 725, 351, 726)(299, 674, 352, 727, 353, 728)(300, 675, 349, 724, 354, 729)(303, 678, 341, 716, 355, 730)(342, 717, 366, 741, 347, 722)(343, 718, 346, 721, 358, 733)(344, 719, 361, 736, 365, 740)(345, 720, 357, 732, 367, 742)(348, 723, 368, 743, 362, 737)(356, 731, 371, 746, 373, 748)(359, 734, 369, 744, 372, 747)(360, 735, 364, 739, 374, 749)(363, 738, 375, 750, 370, 745)
	L = (1, 377)(2, 379)(3, 383)(4, 376)(5, 387)(6, 389)(7, 391)(8, 384)(9, 378)(10, 397)(11, 399)(12, 388)(13, 380)(14, 390)(15, 381)(16, 392)(17, 382)(18, 413)(19, 415)(20, 417)(21, 419)(22, 398)(23, 385)(24, 400)(25, 386)(26, 429)(27, 431)(28, 433)(29, 435)(30, 437)(31, 439)(32, 441)(33, 443)(34, 445)(35, 447)(36, 449)(37, 451)(38, 414)(39, 393)(40, 416)(41, 394)(42, 418)(43, 395)(44, 420)(45, 396)(46, 469)(47, 471)(48, 473)(49, 475)(50, 477)(51, 479)(52, 481)(53, 483)(54, 430)(55, 401)(56, 432)(57, 402)(58, 434)(59, 403)(60, 436)(61, 404)(62, 438)(63, 405)(64, 440)(65, 406)(66, 442)(67, 407)(68, 444)(69, 408)(70, 446)(71, 409)(72, 448)(73, 410)(74, 450)(75, 411)(76, 452)(77, 412)(78, 428)(79, 528)(80, 530)(81, 532)(82, 534)(83, 517)(84, 537)(85, 539)(86, 541)(87, 515)(88, 507)(89, 523)(90, 546)(91, 519)(92, 549)(93, 551)(94, 470)(95, 421)(96, 472)(97, 422)(98, 474)(99, 423)(100, 476)(101, 424)(102, 478)(103, 425)(104, 480)(105, 426)(106, 482)(107, 427)(108, 453)(109, 468)(110, 579)(111, 581)(112, 582)(113, 584)(114, 518)(115, 585)(116, 586)(117, 588)(118, 590)(119, 592)(120, 593)(121, 595)(122, 597)(123, 599)(124, 601)(125, 603)(126, 605)(127, 569)(128, 608)(129, 610)(130, 612)(131, 567)(132, 544)(133, 575)(134, 616)(135, 571)(136, 619)(137, 621)(138, 512)(139, 622)(140, 543)(141, 624)(142, 536)(143, 570)(144, 548)(145, 626)(146, 628)(147, 630)(148, 545)(149, 632)(150, 634)(151, 636)(152, 638)(153, 529)(154, 454)(155, 531)(156, 455)(157, 533)(158, 456)(159, 535)(160, 457)(161, 458)(162, 538)(163, 459)(164, 540)(165, 460)(166, 542)(167, 461)(168, 462)(169, 463)(170, 464)(171, 547)(172, 465)(173, 466)(174, 550)(175, 467)(176, 484)(177, 665)(178, 667)(179, 644)(180, 488)(181, 668)(182, 669)(183, 671)(184, 486)(185, 494)(186, 641)(187, 490)(188, 673)(189, 664)(190, 564)(191, 675)(192, 614)(193, 676)(194, 607)(195, 489)(196, 618)(197, 678)(198, 680)(199, 659)(200, 615)(201, 654)(202, 683)(203, 685)(204, 580)(205, 485)(206, 559)(207, 583)(208, 487)(209, 555)(210, 562)(211, 587)(212, 491)(213, 589)(214, 492)(215, 591)(216, 493)(217, 560)(218, 594)(219, 495)(220, 596)(221, 496)(222, 598)(223, 497)(224, 600)(225, 498)(226, 602)(227, 499)(228, 604)(229, 500)(230, 606)(231, 501)(232, 502)(233, 609)(234, 503)(235, 611)(236, 504)(237, 613)(238, 505)(239, 506)(240, 508)(241, 617)(242, 509)(243, 510)(244, 620)(245, 511)(246, 513)(247, 623)(248, 514)(249, 625)(250, 516)(251, 627)(252, 520)(253, 629)(254, 521)(255, 631)(256, 522)(257, 633)(258, 524)(259, 635)(260, 525)(261, 637)(262, 526)(263, 639)(264, 527)(265, 689)(266, 657)(267, 662)(268, 718)(269, 658)(270, 553)(271, 719)(272, 720)(273, 687)(274, 566)(275, 711)(276, 721)(277, 713)(278, 556)(279, 682)(280, 706)(281, 710)(282, 561)(283, 554)(284, 681)(285, 573)(286, 698)(287, 717)(288, 695)(289, 565)(290, 666)(291, 552)(292, 645)(293, 653)(294, 670)(295, 557)(296, 672)(297, 558)(298, 674)(299, 563)(300, 649)(301, 677)(302, 568)(303, 679)(304, 572)(305, 660)(306, 574)(307, 576)(308, 684)(309, 577)(310, 686)(311, 578)(312, 707)(313, 647)(314, 716)(315, 652)(316, 731)(317, 656)(318, 732)(319, 715)(320, 724)(321, 699)(322, 643)(323, 703)(324, 734)(325, 735)(326, 708)(327, 736)(328, 661)(329, 727)(330, 650)(331, 723)(332, 648)(333, 728)(334, 700)(335, 692)(336, 705)(337, 739)(338, 690)(339, 646)(340, 726)(341, 640)(342, 642)(343, 697)(344, 714)(345, 688)(346, 722)(347, 651)(348, 655)(349, 663)(350, 744)(351, 694)(352, 738)(353, 701)(354, 691)(355, 746)(356, 729)(357, 733)(358, 693)(359, 696)(360, 709)(361, 737)(362, 702)(363, 704)(364, 740)(365, 712)(366, 743)(367, 749)(368, 750)(369, 745)(370, 725)(371, 747)(372, 730)(373, 742)(374, 748)(375, 741)
	local type(s) :: { ( 3, 5, 3, 5, 3, 5 ) }
Outer automorphisms :: reflexible
Dual of E26.1512
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 125 e = 375 f = 200
	degree seq :: [ 6^125 ]

E26.1514 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 5})
Quotient :: dipole
Aut^+ = ((C5 x C5) : C5) : C3 (small group id <375, 2>)
Aut   = $<750, 5>$ (small group id <750, 5>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (R * Y3)^2, (R * Y1)^2, Y2^5, (Y1^-1 * Y2^-1)^3, (Y3^-1 * Y1^-1)^3, Y1^-1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1^-1 * Y2^-2, Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2^2 * Y1^-1 ]
Map::
	R = (1, 376, 2, 377, 4, 379)(3, 378, 8, 383, 10, 385)(5, 380, 13, 388, 14, 389)(6, 381, 16, 391, 18, 393)(7, 382, 19, 394, 20, 395)(9, 384, 24, 399, 25, 400)(11, 386, 28, 403, 30, 405)(12, 387, 31, 406, 22, 397)(15, 390, 36, 411, 37, 412)(17, 392, 39, 414, 40, 415)(21, 396, 46, 421, 47, 422)(23, 398, 49, 424, 50, 425)(26, 401, 56, 431, 58, 433)(27, 402, 59, 434, 52, 427)(29, 404, 62, 437, 63, 438)(32, 407, 68, 443, 69, 444)(33, 408, 70, 445, 72, 447)(34, 409, 73, 448, 74, 449)(35, 410, 76, 451, 78, 453)(38, 413, 82, 457, 83, 458)(41, 416, 88, 463, 90, 465)(42, 417, 91, 466, 84, 459)(43, 418, 93, 468, 95, 470)(44, 419, 96, 471, 97, 472)(45, 420, 99, 474, 101, 476)(48, 423, 105, 480, 106, 481)(51, 426, 110, 485, 111, 486)(53, 428, 113, 488, 114, 489)(54, 429, 116, 491, 118, 493)(55, 430, 119, 494, 79, 454)(57, 432, 122, 497, 123, 498)(60, 435, 128, 503, 129, 504)(61, 436, 130, 505, 131, 506)(64, 439, 136, 511, 138, 513)(65, 440, 139, 514, 132, 507)(66, 441, 141, 516, 143, 518)(67, 442, 144, 519, 145, 520)(71, 446, 151, 526, 152, 527)(75, 450, 158, 533, 159, 534)(77, 452, 161, 536, 162, 537)(80, 455, 166, 541, 167, 542)(81, 456, 169, 544, 171, 546)(85, 460, 176, 551, 177, 552)(86, 461, 178, 553, 180, 555)(87, 462, 181, 556, 102, 477)(89, 464, 183, 558, 184, 559)(92, 467, 189, 564, 190, 565)(94, 469, 192, 567, 165, 540)(98, 473, 198, 573, 199, 574)(100, 475, 201, 576, 202, 577)(103, 478, 206, 581, 207, 582)(104, 479, 209, 584, 170, 545)(107, 482, 214, 589, 215, 590)(108, 483, 195, 570, 216, 591)(109, 484, 218, 593, 220, 595)(112, 487, 222, 597, 223, 598)(115, 490, 225, 600, 133, 508)(117, 492, 227, 602, 228, 603)(120, 495, 230, 605, 140, 515)(121, 496, 193, 568, 231, 606)(124, 499, 185, 560, 236, 611)(125, 500, 203, 578, 232, 607)(126, 501, 238, 613, 240, 615)(127, 502, 197, 572, 241, 616)(134, 509, 247, 622, 219, 594)(135, 510, 249, 624, 147, 522)(137, 512, 251, 626, 229, 604)(142, 517, 256, 631, 205, 580)(146, 521, 262, 637, 263, 638)(148, 523, 264, 639, 265, 640)(149, 524, 267, 642, 210, 585)(150, 525, 268, 643, 237, 612)(153, 528, 235, 610, 250, 625)(154, 529, 270, 645, 217, 592)(155, 530, 272, 647, 244, 619)(156, 531, 196, 571, 260, 635)(157, 532, 273, 648, 254, 629)(160, 535, 275, 650, 276, 651)(163, 538, 279, 654, 252, 627)(164, 539, 280, 655, 277, 652)(168, 543, 282, 657, 233, 608)(172, 547, 278, 653, 284, 659)(173, 548, 259, 634, 285, 660)(174, 549, 287, 662, 288, 663)(175, 550, 289, 664, 290, 665)(179, 554, 293, 668, 294, 669)(182, 557, 257, 632, 295, 670)(186, 561, 212, 587, 296, 671)(187, 562, 300, 675, 302, 677)(188, 563, 261, 636, 303, 678)(191, 566, 305, 680, 299, 674)(194, 569, 307, 682, 286, 661)(200, 575, 310, 685, 311, 686)(204, 579, 314, 689, 312, 687)(208, 583, 316, 691, 297, 672)(211, 586, 318, 693, 319, 694)(213, 588, 321, 696, 221, 596)(224, 599, 330, 705, 332, 707)(226, 601, 323, 698, 334, 709)(234, 609, 337, 712, 331, 706)(239, 614, 308, 683, 327, 702)(242, 617, 340, 715, 341, 716)(243, 618, 313, 688, 342, 717)(245, 620, 344, 719, 325, 700)(246, 621, 345, 720, 346, 721)(248, 623, 326, 701, 348, 723)(253, 628, 320, 695, 352, 727)(255, 630, 339, 714, 350, 725)(258, 633, 328, 703, 343, 718)(266, 641, 324, 699, 349, 724)(269, 644, 292, 667, 355, 730)(271, 646, 356, 731, 351, 726)(274, 649, 357, 732, 335, 710)(281, 656, 304, 679, 358, 733)(283, 658, 291, 666, 359, 734)(298, 673, 362, 737, 360, 735)(301, 676, 354, 729, 322, 697)(306, 681, 347, 722, 363, 738)(309, 684, 364, 739, 361, 736)(315, 690, 353, 728, 365, 740)(317, 692, 333, 708, 329, 704)(336, 711, 367, 742, 369, 744)(338, 713, 368, 743, 372, 747)(366, 741, 371, 746, 374, 749)(370, 745, 373, 748, 375, 750)(751, 1126, 753, 1128, 759, 1134, 765, 1140, 755, 1130)(752, 1127, 756, 1131, 767, 1142, 771, 1146, 757, 1132)(754, 1129, 761, 1136, 779, 1154, 782, 1157, 762, 1137)(758, 1133, 772, 1147, 798, 1173, 801, 1176, 773, 1148)(760, 1135, 776, 1151, 807, 1182, 810, 1185, 777, 1152)(763, 1138, 783, 1158, 821, 1196, 825, 1200, 784, 1159)(764, 1139, 785, 1160, 827, 1202, 788, 1163, 766, 1141)(768, 1143, 791, 1166, 839, 1214, 842, 1217, 792, 1167)(769, 1144, 793, 1168, 844, 1219, 848, 1223, 794, 1169)(770, 1145, 795, 1170, 850, 1225, 811, 1186, 778, 1153)(774, 1149, 802, 1177, 862, 1237, 865, 1240, 803, 1178)(775, 1150, 804, 1179, 867, 1242, 870, 1245, 805, 1180)(780, 1155, 814, 1189, 887, 1262, 890, 1265, 815, 1190)(781, 1156, 816, 1191, 892, 1267, 896, 1271, 817, 1192)(786, 1161, 829, 1204, 915, 1290, 918, 1293, 830, 1205)(787, 1162, 831, 1206, 920, 1295, 900, 1275, 820, 1195)(789, 1164, 834, 1209, 925, 1300, 863, 1238, 835, 1210)(790, 1165, 836, 1211, 929, 1304, 878, 1253, 837, 1212)(796, 1171, 852, 1227, 955, 1330, 958, 1333, 853, 1228)(797, 1172, 854, 1229, 960, 1335, 941, 1316, 843, 1218)(799, 1174, 857, 1232, 901, 1276, 967, 1342, 858, 1233)(800, 1175, 859, 1234, 969, 1344, 871, 1246, 806, 1181)(808, 1183, 874, 1249, 985, 1360, 987, 1362, 875, 1250)(809, 1184, 876, 1251, 989, 1364, 992, 1367, 877, 1252)(812, 1187, 882, 1257, 996, 1371, 926, 1301, 883, 1258)(813, 1188, 884, 1259, 998, 1373, 939, 1314, 885, 1260)(818, 1193, 897, 1272, 902, 1277, 1016, 1391, 898, 1273)(819, 1194, 899, 1274, 921, 1296, 1005, 1380, 891, 1266)(822, 1197, 903, 1278, 1019, 1394, 1021, 1396, 904, 1279)(823, 1198, 905, 1280, 972, 1347, 991, 1366, 906, 1281)(824, 1199, 907, 1282, 956, 1331, 910, 1285, 826, 1201)(828, 1203, 913, 1288, 988, 1363, 879, 1254, 914, 1289)(832, 1207, 922, 1297, 942, 1317, 1036, 1411, 923, 1298)(833, 1208, 924, 1299, 868, 1243, 932, 1307, 838, 1213)(840, 1215, 935, 1310, 981, 1356, 1049, 1424, 936, 1311)(841, 1216, 937, 1312, 1051, 1426, 1054, 1429, 938, 1313)(845, 1220, 943, 1318, 1056, 1431, 1058, 1433, 944, 1319)(846, 1221, 945, 1320, 1039, 1414, 1053, 1428, 946, 1321)(847, 1222, 947, 1322, 1014, 1389, 950, 1325, 849, 1224)(851, 1226, 953, 1328, 1050, 1425, 940, 1315, 954, 1329)(855, 1230, 895, 1270, 1011, 1386, 916, 1291, 961, 1336)(856, 1231, 962, 1337, 1070, 1445, 980, 1355, 963, 1338)(860, 1235, 971, 1346, 1077, 1452, 1063, 1438, 952, 1327)(861, 1236, 911, 1286, 1027, 1402, 1072, 1447, 964, 1339)(864, 1239, 974, 1349, 1081, 1456, 976, 1351, 866, 1241)(869, 1244, 979, 1354, 1086, 1461, 1059, 1434, 948, 1323)(872, 1247, 982, 1357, 1061, 1436, 1068, 1443, 983, 1358)(873, 1248, 984, 1359, 1088, 1463, 1012, 1387, 931, 1306)(880, 1255, 993, 1368, 1006, 1381, 1093, 1468, 994, 1369)(881, 1256, 995, 1370, 930, 1305, 1000, 1375, 886, 1261)(888, 1263, 986, 1361, 1045, 1420, 1100, 1475, 1002, 1377)(889, 1264, 1003, 1378, 1101, 1476, 1103, 1478, 1004, 1379)(893, 1268, 1007, 1382, 1084, 1459, 1104, 1479, 1008, 1383)(894, 1269, 1009, 1384, 1095, 1470, 1023, 1398, 1010, 1385)(908, 1283, 999, 1374, 934, 1309, 1048, 1423, 1024, 1399)(909, 1284, 977, 1352, 1038, 1413, 1094, 1469, 1022, 1397)(912, 1287, 951, 1326, 1062, 1437, 1106, 1481, 1028, 1403)(917, 1292, 1031, 1406, 1107, 1482, 1033, 1408, 919, 1294)(927, 1302, 1041, 1416, 1110, 1485, 1042, 1417, 928, 1303)(933, 1308, 1046, 1421, 1069, 1444, 1025, 1400, 1047, 1422)(949, 1324, 1043, 1418, 1075, 1450, 968, 1343, 966, 1341)(957, 1332, 1065, 1440, 1114, 1489, 1067, 1442, 959, 1334)(965, 1340, 1073, 1448, 1116, 1491, 1117, 1492, 1074, 1449)(970, 1345, 1037, 1412, 1035, 1410, 1013, 1388, 1076, 1451)(973, 1348, 1078, 1453, 1052, 1427, 1018, 1393, 1079, 1454)(975, 1350, 1083, 1458, 1119, 1494, 1097, 1472, 997, 1372)(978, 1353, 1085, 1460, 1120, 1495, 1090, 1465, 1071, 1446)(990, 1365, 1089, 1464, 1109, 1484, 1096, 1471, 1057, 1432)(1001, 1376, 1029, 1404, 1026, 1401, 1060, 1435, 1099, 1474)(1015, 1390, 1091, 1466, 1118, 1493, 1082, 1457, 1017, 1392)(1020, 1395, 1102, 1477, 1055, 1430, 1080, 1455, 1040, 1415)(1030, 1405, 1044, 1419, 1111, 1486, 1123, 1498, 1108, 1483)(1032, 1407, 1034, 1409, 1105, 1480, 1121, 1496, 1087, 1462)(1064, 1439, 1098, 1473, 1122, 1497, 1125, 1500, 1115, 1490)(1066, 1441, 1092, 1467, 1113, 1488, 1124, 1499, 1112, 1487)
	L = (1, 753)(2, 756)(3, 759)(4, 761)(5, 751)(6, 767)(7, 752)(8, 772)(9, 765)(10, 776)(11, 779)(12, 754)(13, 783)(14, 785)(15, 755)(16, 764)(17, 771)(18, 791)(19, 793)(20, 795)(21, 757)(22, 798)(23, 758)(24, 802)(25, 804)(26, 807)(27, 760)(28, 770)(29, 782)(30, 814)(31, 816)(32, 762)(33, 821)(34, 763)(35, 827)(36, 829)(37, 831)(38, 766)(39, 834)(40, 836)(41, 839)(42, 768)(43, 844)(44, 769)(45, 850)(46, 852)(47, 854)(48, 801)(49, 857)(50, 859)(51, 773)(52, 862)(53, 774)(54, 867)(55, 775)(56, 800)(57, 810)(58, 874)(59, 876)(60, 777)(61, 778)(62, 882)(63, 884)(64, 887)(65, 780)(66, 892)(67, 781)(68, 897)(69, 899)(70, 787)(71, 825)(72, 903)(73, 905)(74, 907)(75, 784)(76, 824)(77, 788)(78, 913)(79, 915)(80, 786)(81, 920)(82, 922)(83, 924)(84, 925)(85, 789)(86, 929)(87, 790)(88, 833)(89, 842)(90, 935)(91, 937)(92, 792)(93, 797)(94, 848)(95, 943)(96, 945)(97, 947)(98, 794)(99, 847)(100, 811)(101, 953)(102, 955)(103, 796)(104, 960)(105, 895)(106, 962)(107, 901)(108, 799)(109, 969)(110, 971)(111, 911)(112, 865)(113, 835)(114, 974)(115, 803)(116, 864)(117, 870)(118, 932)(119, 979)(120, 805)(121, 806)(122, 982)(123, 984)(124, 985)(125, 808)(126, 989)(127, 809)(128, 837)(129, 914)(130, 993)(131, 995)(132, 996)(133, 812)(134, 998)(135, 813)(136, 881)(137, 890)(138, 986)(139, 1003)(140, 815)(141, 819)(142, 896)(143, 1007)(144, 1009)(145, 1011)(146, 817)(147, 902)(148, 818)(149, 921)(150, 820)(151, 967)(152, 1016)(153, 1019)(154, 822)(155, 972)(156, 823)(157, 956)(158, 999)(159, 977)(160, 826)(161, 1027)(162, 951)(163, 988)(164, 828)(165, 918)(166, 961)(167, 1031)(168, 830)(169, 917)(170, 900)(171, 1005)(172, 942)(173, 832)(174, 868)(175, 863)(176, 883)(177, 1041)(178, 927)(179, 878)(180, 1000)(181, 873)(182, 838)(183, 1046)(184, 1048)(185, 981)(186, 840)(187, 1051)(188, 841)(189, 885)(190, 954)(191, 843)(192, 1036)(193, 1056)(194, 845)(195, 1039)(196, 846)(197, 1014)(198, 869)(199, 1043)(200, 849)(201, 1062)(202, 860)(203, 1050)(204, 851)(205, 958)(206, 910)(207, 1065)(208, 853)(209, 957)(210, 941)(211, 855)(212, 1070)(213, 856)(214, 861)(215, 1073)(216, 949)(217, 858)(218, 966)(219, 871)(220, 1037)(221, 1077)(222, 991)(223, 1078)(224, 1081)(225, 1083)(226, 866)(227, 1038)(228, 1085)(229, 1086)(230, 963)(231, 1049)(232, 1061)(233, 872)(234, 1088)(235, 987)(236, 1045)(237, 875)(238, 879)(239, 992)(240, 1089)(241, 906)(242, 877)(243, 1006)(244, 880)(245, 930)(246, 926)(247, 975)(248, 939)(249, 934)(250, 886)(251, 1029)(252, 888)(253, 1101)(254, 889)(255, 891)(256, 1093)(257, 1084)(258, 893)(259, 1095)(260, 894)(261, 916)(262, 931)(263, 1076)(264, 950)(265, 1091)(266, 898)(267, 1015)(268, 1079)(269, 1021)(270, 1102)(271, 904)(272, 909)(273, 1010)(274, 908)(275, 1047)(276, 1060)(277, 1072)(278, 912)(279, 1026)(280, 1044)(281, 1107)(282, 1034)(283, 919)(284, 1105)(285, 1013)(286, 923)(287, 1035)(288, 1094)(289, 1053)(290, 1020)(291, 1110)(292, 928)(293, 1075)(294, 1111)(295, 1100)(296, 1069)(297, 933)(298, 1024)(299, 936)(300, 940)(301, 1054)(302, 1018)(303, 946)(304, 938)(305, 1080)(306, 1058)(307, 990)(308, 944)(309, 948)(310, 1099)(311, 1068)(312, 1106)(313, 952)(314, 1098)(315, 1114)(316, 1092)(317, 959)(318, 983)(319, 1025)(320, 980)(321, 978)(322, 964)(323, 1116)(324, 965)(325, 968)(326, 970)(327, 1063)(328, 1052)(329, 973)(330, 1040)(331, 976)(332, 1017)(333, 1119)(334, 1104)(335, 1120)(336, 1059)(337, 1032)(338, 1012)(339, 1109)(340, 1071)(341, 1118)(342, 1113)(343, 994)(344, 1022)(345, 1023)(346, 1057)(347, 997)(348, 1122)(349, 1001)(350, 1002)(351, 1103)(352, 1055)(353, 1004)(354, 1008)(355, 1121)(356, 1028)(357, 1033)(358, 1030)(359, 1096)(360, 1042)(361, 1123)(362, 1066)(363, 1124)(364, 1067)(365, 1064)(366, 1117)(367, 1074)(368, 1082)(369, 1097)(370, 1090)(371, 1087)(372, 1125)(373, 1108)(374, 1112)(375, 1115)(376, 1126)(377, 1127)(378, 1128)(379, 1129)(380, 1130)(381, 1131)(382, 1132)(383, 1133)(384, 1134)(385, 1135)(386, 1136)(387, 1137)(388, 1138)(389, 1139)(390, 1140)(391, 1141)(392, 1142)(393, 1143)(394, 1144)(395, 1145)(396, 1146)(397, 1147)(398, 1148)(399, 1149)(400, 1150)(401, 1151)(402, 1152)(403, 1153)(404, 1154)(405, 1155)(406, 1156)(407, 1157)(408, 1158)(409, 1159)(410, 1160)(411, 1161)(412, 1162)(413, 1163)(414, 1164)(415, 1165)(416, 1166)(417, 1167)(418, 1168)(419, 1169)(420, 1170)(421, 1171)(422, 1172)(423, 1173)(424, 1174)(425, 1175)(426, 1176)(427, 1177)(428, 1178)(429, 1179)(430, 1180)(431, 1181)(432, 1182)(433, 1183)(434, 1184)(435, 1185)(436, 1186)(437, 1187)(438, 1188)(439, 1189)(440, 1190)(441, 1191)(442, 1192)(443, 1193)(444, 1194)(445, 1195)(446, 1196)(447, 1197)(448, 1198)(449, 1199)(450, 1200)(451, 1201)(452, 1202)(453, 1203)(454, 1204)(455, 1205)(456, 1206)(457, 1207)(458, 1208)(459, 1209)(460, 1210)(461, 1211)(462, 1212)(463, 1213)(464, 1214)(465, 1215)(466, 1216)(467, 1217)(468, 1218)(469, 1219)(470, 1220)(471, 1221)(472, 1222)(473, 1223)(474, 1224)(475, 1225)(476, 1226)(477, 1227)(478, 1228)(479, 1229)(480, 1230)(481, 1231)(482, 1232)(483, 1233)(484, 1234)(485, 1235)(486, 1236)(487, 1237)(488, 1238)(489, 1239)(490, 1240)(491, 1241)(492, 1242)(493, 1243)(494, 1244)(495, 1245)(496, 1246)(497, 1247)(498, 1248)(499, 1249)(500, 1250)(501, 1251)(502, 1252)(503, 1253)(504, 1254)(505, 1255)(506, 1256)(507, 1257)(508, 1258)(509, 1259)(510, 1260)(511, 1261)(512, 1262)(513, 1263)(514, 1264)(515, 1265)(516, 1266)(517, 1267)(518, 1268)(519, 1269)(520, 1270)(521, 1271)(522, 1272)(523, 1273)(524, 1274)(525, 1275)(526, 1276)(527, 1277)(528, 1278)(529, 1279)(530, 1280)(531, 1281)(532, 1282)(533, 1283)(534, 1284)(535, 1285)(536, 1286)(537, 1287)(538, 1288)(539, 1289)(540, 1290)(541, 1291)(542, 1292)(543, 1293)(544, 1294)(545, 1295)(546, 1296)(547, 1297)(548, 1298)(549, 1299)(550, 1300)(551, 1301)(552, 1302)(553, 1303)(554, 1304)(555, 1305)(556, 1306)(557, 1307)(558, 1308)(559, 1309)(560, 1310)(561, 1311)(562, 1312)(563, 1313)(564, 1314)(565, 1315)(566, 1316)(567, 1317)(568, 1318)(569, 1319)(570, 1320)(571, 1321)(572, 1322)(573, 1323)(574, 1324)(575, 1325)(576, 1326)(577, 1327)(578, 1328)(579, 1329)(580, 1330)(581, 1331)(582, 1332)(583, 1333)(584, 1334)(585, 1335)(586, 1336)(587, 1337)(588, 1338)(589, 1339)(590, 1340)(591, 1341)(592, 1342)(593, 1343)(594, 1344)(595, 1345)(596, 1346)(597, 1347)(598, 1348)(599, 1349)(600, 1350)(601, 1351)(602, 1352)(603, 1353)(604, 1354)(605, 1355)(606, 1356)(607, 1357)(608, 1358)(609, 1359)(610, 1360)(611, 1361)(612, 1362)(613, 1363)(614, 1364)(615, 1365)(616, 1366)(617, 1367)(618, 1368)(619, 1369)(620, 1370)(621, 1371)(622, 1372)(623, 1373)(624, 1374)(625, 1375)(626, 1376)(627, 1377)(628, 1378)(629, 1379)(630, 1380)(631, 1381)(632, 1382)(633, 1383)(634, 1384)(635, 1385)(636, 1386)(637, 1387)(638, 1388)(639, 1389)(640, 1390)(641, 1391)(642, 1392)(643, 1393)(644, 1394)(645, 1395)(646, 1396)(647, 1397)(648, 1398)(649, 1399)(650, 1400)(651, 1401)(652, 1402)(653, 1403)(654, 1404)(655, 1405)(656, 1406)(657, 1407)(658, 1408)(659, 1409)(660, 1410)(661, 1411)(662, 1412)(663, 1413)(664, 1414)(665, 1415)(666, 1416)(667, 1417)(668, 1418)(669, 1419)(670, 1420)(671, 1421)(672, 1422)(673, 1423)(674, 1424)(675, 1425)(676, 1426)(677, 1427)(678, 1428)(679, 1429)(680, 1430)(681, 1431)(682, 1432)(683, 1433)(684, 1434)(685, 1435)(686, 1436)(687, 1437)(688, 1438)(689, 1439)(690, 1440)(691, 1441)(692, 1442)(693, 1443)(694, 1444)(695, 1445)(696, 1446)(697, 1447)(698, 1448)(699, 1449)(700, 1450)(701, 1451)(702, 1452)(703, 1453)(704, 1454)(705, 1455)(706, 1456)(707, 1457)(708, 1458)(709, 1459)(710, 1460)(711, 1461)(712, 1462)(713, 1463)(714, 1464)(715, 1465)(716, 1466)(717, 1467)(718, 1468)(719, 1469)(720, 1470)(721, 1471)(722, 1472)(723, 1473)(724, 1474)(725, 1475)(726, 1476)(727, 1477)(728, 1478)(729, 1479)(730, 1480)(731, 1481)(732, 1482)(733, 1483)(734, 1484)(735, 1485)(736, 1486)(737, 1487)(738, 1488)(739, 1489)(740, 1490)(741, 1491)(742, 1492)(743, 1493)(744, 1494)(745, 1495)(746, 1496)(747, 1497)(748, 1498)(749, 1499)(750, 1500)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E26.1515
Graph:: bipartite
	v = 200 e = 750 f = 500
	degree seq :: [ 6^125, 10^75 ]

E26.1515 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 5})
Quotient :: dipole
Aut^+ = ((C5 x C5) : C5) : C3 (small group id <375, 2>)
Aut   = $<750, 5>$ (small group id <750, 5>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, Y3^5, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3)^3, (Y3^-1 * Y1^-1)^5, Y2 * Y3 * Y2 * Y3^-2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^-2, Y3 * Y2 * Y3 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-2 * Y2^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map:: polytopal
	R = (1, 376)(2, 377)(3, 378)(4, 379)(5, 380)(6, 381)(7, 382)(8, 383)(9, 384)(10, 385)(11, 386)(12, 387)(13, 388)(14, 389)(15, 390)(16, 391)(17, 392)(18, 393)(19, 394)(20, 395)(21, 396)(22, 397)(23, 398)(24, 399)(25, 400)(26, 401)(27, 402)(28, 403)(29, 404)(30, 405)(31, 406)(32, 407)(33, 408)(34, 409)(35, 410)(36, 411)(37, 412)(38, 413)(39, 414)(40, 415)(41, 416)(42, 417)(43, 418)(44, 419)(45, 420)(46, 421)(47, 422)(48, 423)(49, 424)(50, 425)(51, 426)(52, 427)(53, 428)(54, 429)(55, 430)(56, 431)(57, 432)(58, 433)(59, 434)(60, 435)(61, 436)(62, 437)(63, 438)(64, 439)(65, 440)(66, 441)(67, 442)(68, 443)(69, 444)(70, 445)(71, 446)(72, 447)(73, 448)(74, 449)(75, 450)(76, 451)(77, 452)(78, 453)(79, 454)(80, 455)(81, 456)(82, 457)(83, 458)(84, 459)(85, 460)(86, 461)(87, 462)(88, 463)(89, 464)(90, 465)(91, 466)(92, 467)(93, 468)(94, 469)(95, 470)(96, 471)(97, 472)(98, 473)(99, 474)(100, 475)(101, 476)(102, 477)(103, 478)(104, 479)(105, 480)(106, 481)(107, 482)(108, 483)(109, 484)(110, 485)(111, 486)(112, 487)(113, 488)(114, 489)(115, 490)(116, 491)(117, 492)(118, 493)(119, 494)(120, 495)(121, 496)(122, 497)(123, 498)(124, 499)(125, 500)(126, 501)(127, 502)(128, 503)(129, 504)(130, 505)(131, 506)(132, 507)(133, 508)(134, 509)(135, 510)(136, 511)(137, 512)(138, 513)(139, 514)(140, 515)(141, 516)(142, 517)(143, 518)(144, 519)(145, 520)(146, 521)(147, 522)(148, 523)(149, 524)(150, 525)(151, 526)(152, 527)(153, 528)(154, 529)(155, 530)(156, 531)(157, 532)(158, 533)(159, 534)(160, 535)(161, 536)(162, 537)(163, 538)(164, 539)(165, 540)(166, 541)(167, 542)(168, 543)(169, 544)(170, 545)(171, 546)(172, 547)(173, 548)(174, 549)(175, 550)(176, 551)(177, 552)(178, 553)(179, 554)(180, 555)(181, 556)(182, 557)(183, 558)(184, 559)(185, 560)(186, 561)(187, 562)(188, 563)(189, 564)(190, 565)(191, 566)(192, 567)(193, 568)(194, 569)(195, 570)(196, 571)(197, 572)(198, 573)(199, 574)(200, 575)(201, 576)(202, 577)(203, 578)(204, 579)(205, 580)(206, 581)(207, 582)(208, 583)(209, 584)(210, 585)(211, 586)(212, 587)(213, 588)(214, 589)(215, 590)(216, 591)(217, 592)(218, 593)(219, 594)(220, 595)(221, 596)(222, 597)(223, 598)(224, 599)(225, 600)(226, 601)(227, 602)(228, 603)(229, 604)(230, 605)(231, 606)(232, 607)(233, 608)(234, 609)(235, 610)(236, 611)(237, 612)(238, 613)(239, 614)(240, 615)(241, 616)(242, 617)(243, 618)(244, 619)(245, 620)(246, 621)(247, 622)(248, 623)(249, 624)(250, 625)(251, 626)(252, 627)(253, 628)(254, 629)(255, 630)(256, 631)(257, 632)(258, 633)(259, 634)(260, 635)(261, 636)(262, 637)(263, 638)(264, 639)(265, 640)(266, 641)(267, 642)(268, 643)(269, 644)(270, 645)(271, 646)(272, 647)(273, 648)(274, 649)(275, 650)(276, 651)(277, 652)(278, 653)(279, 654)(280, 655)(281, 656)(282, 657)(283, 658)(284, 659)(285, 660)(286, 661)(287, 662)(288, 663)(289, 664)(290, 665)(291, 666)(292, 667)(293, 668)(294, 669)(295, 670)(296, 671)(297, 672)(298, 673)(299, 674)(300, 675)(301, 676)(302, 677)(303, 678)(304, 679)(305, 680)(306, 681)(307, 682)(308, 683)(309, 684)(310, 685)(311, 686)(312, 687)(313, 688)(314, 689)(315, 690)(316, 691)(317, 692)(318, 693)(319, 694)(320, 695)(321, 696)(322, 697)(323, 698)(324, 699)(325, 700)(326, 701)(327, 702)(328, 703)(329, 704)(330, 705)(331, 706)(332, 707)(333, 708)(334, 709)(335, 710)(336, 711)(337, 712)(338, 713)(339, 714)(340, 715)(341, 716)(342, 717)(343, 718)(344, 719)(345, 720)(346, 721)(347, 722)(348, 723)(349, 724)(350, 725)(351, 726)(352, 727)(353, 728)(354, 729)(355, 730)(356, 731)(357, 732)(358, 733)(359, 734)(360, 735)(361, 736)(362, 737)(363, 738)(364, 739)(365, 740)(366, 741)(367, 742)(368, 743)(369, 744)(370, 745)(371, 746)(372, 747)(373, 748)(374, 749)(375, 750)(751, 1126, 752, 1127, 754, 1129)(753, 1128, 758, 1133, 760, 1135)(755, 1130, 763, 1138, 764, 1139)(756, 1131, 766, 1141, 768, 1143)(757, 1132, 769, 1144, 770, 1145)(759, 1134, 774, 1149, 775, 1150)(761, 1136, 777, 1152, 779, 1154)(762, 1137, 780, 1155, 781, 1156)(765, 1140, 786, 1161, 787, 1162)(767, 1142, 790, 1165, 791, 1166)(771, 1146, 796, 1171, 797, 1172)(772, 1147, 798, 1173, 800, 1175)(773, 1148, 801, 1176, 802, 1177)(776, 1151, 807, 1182, 808, 1183)(778, 1153, 812, 1187, 813, 1188)(782, 1157, 818, 1193, 819, 1194)(783, 1158, 820, 1195, 822, 1197)(784, 1159, 823, 1198, 825, 1200)(785, 1160, 826, 1201, 827, 1202)(788, 1163, 832, 1207, 834, 1209)(789, 1164, 835, 1210, 836, 1211)(792, 1167, 841, 1216, 842, 1217)(793, 1168, 844, 1219, 845, 1220)(794, 1169, 846, 1221, 848, 1223)(795, 1170, 849, 1224, 850, 1225)(799, 1174, 857, 1232, 858, 1233)(803, 1178, 863, 1238, 864, 1239)(804, 1179, 865, 1240, 867, 1242)(805, 1180, 830, 1205, 868, 1243)(806, 1181, 870, 1245, 871, 1246)(809, 1184, 876, 1251, 877, 1252)(810, 1185, 878, 1253, 880, 1255)(811, 1186, 881, 1256, 882, 1257)(814, 1189, 887, 1262, 888, 1263)(815, 1190, 889, 1264, 890, 1265)(816, 1191, 891, 1266, 893, 1268)(817, 1192, 894, 1269, 895, 1270)(821, 1196, 902, 1277, 903, 1278)(824, 1199, 907, 1282, 908, 1283)(828, 1203, 913, 1288, 914, 1289)(829, 1204, 915, 1290, 917, 1292)(831, 1206, 919, 1294, 920, 1295)(833, 1208, 924, 1299, 925, 1300)(837, 1212, 930, 1305, 869, 1244)(838, 1213, 931, 1306, 933, 1308)(839, 1214, 853, 1228, 934, 1309)(840, 1215, 936, 1311, 872, 1247)(843, 1218, 941, 1316, 942, 1317)(847, 1222, 948, 1323, 949, 1324)(851, 1226, 954, 1329, 955, 1330)(852, 1227, 956, 1331, 957, 1332)(854, 1229, 958, 1333, 959, 1334)(855, 1230, 922, 1297, 962, 1337)(856, 1231, 963, 1338, 964, 1339)(859, 1234, 969, 1344, 970, 1345)(860, 1235, 971, 1346, 972, 1347)(861, 1236, 973, 1348, 975, 1350)(862, 1237, 976, 1351, 977, 1352)(866, 1241, 982, 1357, 983, 1358)(873, 1248, 988, 1363, 989, 1364)(874, 1249, 990, 1365, 991, 1366)(875, 1250, 992, 1367, 993, 1368)(879, 1254, 997, 1372, 998, 1373)(883, 1258, 1001, 1376, 935, 1310)(884, 1259, 1002, 1377, 1003, 1378)(885, 1260, 898, 1273, 967, 1342)(886, 1261, 1004, 1379, 937, 1312)(892, 1267, 918, 1293, 1010, 1385)(896, 1271, 1013, 1388, 985, 1360)(897, 1272, 916, 1291, 1014, 1389)(899, 1274, 1015, 1390, 1016, 1391)(900, 1275, 923, 1298, 1018, 1393)(901, 1276, 1019, 1394, 1020, 1395)(904, 1279, 1022, 1397, 1023, 1398)(905, 1280, 926, 1301, 961, 1336)(906, 1281, 994, 1369, 1025, 1400)(909, 1284, 965, 1340, 1027, 1402)(910, 1285, 929, 1304, 1028, 1403)(911, 1286, 940, 1315, 1029, 1404)(912, 1287, 953, 1328, 1012, 1387)(921, 1296, 968, 1343, 1033, 1408)(927, 1302, 1038, 1413, 1039, 1414)(928, 1303, 1040, 1415, 1042, 1417)(932, 1307, 1044, 1419, 1045, 1420)(938, 1313, 1048, 1423, 1049, 1424)(939, 1314, 1050, 1425, 1051, 1426)(943, 1318, 996, 1371, 1054, 1429)(944, 1319, 995, 1370, 1055, 1430)(945, 1320, 1056, 1431, 1057, 1432)(946, 1321, 980, 1355, 1034, 1409)(947, 1322, 1052, 1427, 1059, 1434)(950, 1325, 1035, 1410, 1061, 1436)(951, 1326, 1000, 1375, 1062, 1437)(952, 1327, 1006, 1381, 1063, 1438)(960, 1335, 1037, 1412, 1067, 1442)(966, 1341, 1070, 1445, 1071, 1446)(974, 1349, 1076, 1451, 1077, 1452)(978, 1353, 1066, 1441, 1078, 1453)(979, 1354, 1079, 1454, 1080, 1455)(981, 1356, 1081, 1456, 1082, 1457)(984, 1359, 1058, 1433, 1084, 1459)(986, 1361, 1065, 1440, 1086, 1461)(987, 1362, 1087, 1462, 1088, 1463)(999, 1374, 1092, 1467, 1069, 1444)(1005, 1380, 1097, 1472, 1021, 1396)(1007, 1382, 1053, 1428, 1099, 1474)(1008, 1383, 1068, 1443, 1100, 1475)(1009, 1384, 1098, 1473, 1075, 1450)(1011, 1386, 1072, 1447, 1101, 1476)(1017, 1392, 1091, 1466, 1104, 1479)(1024, 1399, 1107, 1482, 1095, 1470)(1026, 1401, 1041, 1416, 1106, 1481)(1030, 1405, 1083, 1458, 1108, 1483)(1031, 1406, 1109, 1484, 1096, 1471)(1032, 1407, 1105, 1480, 1094, 1469)(1036, 1411, 1110, 1485, 1111, 1486)(1043, 1418, 1103, 1478, 1112, 1487)(1046, 1421, 1073, 1448, 1114, 1489)(1047, 1422, 1102, 1477, 1074, 1449)(1060, 1435, 1093, 1468, 1089, 1464)(1064, 1439, 1113, 1488, 1115, 1490)(1085, 1460, 1118, 1493, 1120, 1495)(1090, 1465, 1121, 1496, 1122, 1497)(1116, 1491, 1119, 1494, 1125, 1500)(1117, 1492, 1124, 1499, 1123, 1498)
	L = (1, 753)(2, 756)(3, 759)(4, 761)(5, 751)(6, 767)(7, 752)(8, 772)(9, 765)(10, 769)(11, 778)(12, 754)(13, 783)(14, 784)(15, 755)(16, 788)(17, 771)(18, 780)(19, 793)(20, 794)(21, 757)(22, 799)(23, 758)(24, 804)(25, 801)(26, 760)(27, 810)(28, 782)(29, 763)(30, 815)(31, 816)(32, 762)(33, 821)(34, 824)(35, 764)(36, 829)(37, 830)(38, 833)(39, 766)(40, 838)(41, 835)(42, 768)(43, 809)(44, 847)(45, 770)(46, 852)(47, 853)(48, 855)(49, 803)(50, 807)(51, 860)(52, 861)(53, 773)(54, 866)(55, 774)(56, 775)(57, 873)(58, 874)(59, 776)(60, 879)(61, 777)(62, 884)(63, 881)(64, 779)(65, 843)(66, 892)(67, 781)(68, 897)(69, 898)(70, 900)(71, 814)(72, 826)(73, 905)(74, 828)(75, 786)(76, 910)(77, 911)(78, 785)(79, 916)(80, 918)(81, 787)(82, 922)(83, 837)(84, 841)(85, 927)(86, 928)(87, 789)(88, 932)(89, 790)(90, 791)(91, 938)(92, 939)(93, 792)(94, 943)(95, 849)(96, 946)(97, 851)(98, 796)(99, 951)(100, 952)(101, 795)(102, 915)(103, 907)(104, 797)(105, 961)(106, 798)(107, 966)(108, 963)(109, 800)(110, 872)(111, 974)(112, 802)(113, 901)(114, 885)(115, 980)(116, 869)(117, 870)(118, 924)(119, 805)(120, 986)(121, 886)(122, 806)(123, 931)(124, 908)(125, 808)(126, 903)(127, 995)(128, 962)(129, 883)(130, 887)(131, 987)(132, 999)(133, 811)(134, 979)(135, 812)(136, 813)(137, 981)(138, 1005)(139, 964)(140, 894)(141, 970)(142, 896)(143, 818)(144, 977)(145, 993)(146, 817)(147, 956)(148, 948)(149, 819)(150, 975)(151, 820)(152, 942)(153, 1019)(154, 822)(155, 1024)(156, 823)(157, 960)(158, 994)(159, 825)(160, 1016)(161, 972)(162, 827)(163, 983)(164, 934)(165, 950)(166, 909)(167, 919)(168, 921)(169, 1032)(170, 945)(171, 831)(172, 1034)(173, 832)(174, 1036)(175, 1018)(176, 834)(177, 937)(178, 1041)(179, 836)(180, 944)(181, 859)(182, 935)(183, 936)(184, 997)(185, 839)(186, 1047)(187, 840)(188, 1002)(189, 949)(190, 842)(191, 877)(192, 1053)(193, 1042)(194, 844)(195, 845)(196, 1058)(197, 846)(198, 1017)(199, 1052)(200, 848)(201, 920)(202, 1039)(203, 850)(204, 1045)(205, 967)(206, 1011)(207, 958)(208, 1066)(209, 1008)(210, 854)(211, 965)(212, 969)(213, 1068)(214, 1069)(215, 856)(216, 1064)(217, 857)(218, 858)(219, 1072)(220, 1073)(221, 1059)(222, 976)(223, 1061)(224, 978)(225, 863)(226, 912)(227, 959)(228, 862)(229, 864)(230, 880)(231, 865)(232, 1083)(233, 1081)(234, 867)(235, 868)(236, 1070)(237, 871)(238, 1082)(239, 992)(240, 1084)(241, 876)(242, 1013)(243, 1088)(244, 875)(245, 1076)(246, 878)(247, 1090)(248, 1054)(249, 1093)(250, 882)(251, 1007)(252, 926)(253, 1004)(254, 1096)(255, 1010)(256, 888)(257, 889)(258, 890)(259, 891)(260, 1098)(261, 893)(262, 895)(263, 1080)(264, 1015)(265, 1103)(266, 904)(267, 899)(268, 1022)(269, 1089)(270, 1079)(271, 902)(272, 1100)(273, 1091)(274, 1026)(275, 1040)(276, 906)(277, 1074)(278, 953)(279, 913)(280, 914)(281, 917)(282, 1108)(283, 1097)(284, 1035)(285, 923)(286, 1085)(287, 925)(288, 1075)(289, 1028)(290, 1101)(291, 1043)(292, 930)(293, 929)(294, 1113)(295, 988)(296, 933)(297, 1110)(298, 989)(299, 1029)(300, 1114)(301, 941)(302, 940)(303, 1106)(304, 1056)(305, 982)(306, 1023)(307, 968)(308, 1060)(309, 1092)(310, 947)(311, 1109)(312, 1012)(313, 954)(314, 955)(315, 957)(316, 1115)(317, 990)(318, 1057)(319, 1001)(320, 984)(321, 1033)(322, 996)(323, 1077)(324, 971)(325, 973)(326, 1051)(327, 1009)(328, 1055)(329, 1118)(330, 1048)(331, 1049)(332, 1063)(333, 1117)(334, 1119)(335, 985)(336, 1087)(337, 1025)(338, 1062)(339, 991)(340, 1030)(341, 998)(342, 1027)(343, 1094)(344, 1000)(345, 1003)(346, 1121)(347, 1107)(348, 1006)(349, 1044)(350, 1037)(351, 1086)(352, 1014)(353, 1120)(354, 1050)(355, 1020)(356, 1021)(357, 1116)(358, 1031)(359, 1038)(360, 1046)(361, 1067)(362, 1099)(363, 1124)(364, 1125)(365, 1065)(366, 1071)(367, 1078)(368, 1123)(369, 1111)(370, 1102)(371, 1095)(372, 1104)(373, 1105)(374, 1112)(375, 1122)(376, 1126)(377, 1127)(378, 1128)(379, 1129)(380, 1130)(381, 1131)(382, 1132)(383, 1133)(384, 1134)(385, 1135)(386, 1136)(387, 1137)(388, 1138)(389, 1139)(390, 1140)(391, 1141)(392, 1142)(393, 1143)(394, 1144)(395, 1145)(396, 1146)(397, 1147)(398, 1148)(399, 1149)(400, 1150)(401, 1151)(402, 1152)(403, 1153)(404, 1154)(405, 1155)(406, 1156)(407, 1157)(408, 1158)(409, 1159)(410, 1160)(411, 1161)(412, 1162)(413, 1163)(414, 1164)(415, 1165)(416, 1166)(417, 1167)(418, 1168)(419, 1169)(420, 1170)(421, 1171)(422, 1172)(423, 1173)(424, 1174)(425, 1175)(426, 1176)(427, 1177)(428, 1178)(429, 1179)(430, 1180)(431, 1181)(432, 1182)(433, 1183)(434, 1184)(435, 1185)(436, 1186)(437, 1187)(438, 1188)(439, 1189)(440, 1190)(441, 1191)(442, 1192)(443, 1193)(444, 1194)(445, 1195)(446, 1196)(447, 1197)(448, 1198)(449, 1199)(450, 1200)(451, 1201)(452, 1202)(453, 1203)(454, 1204)(455, 1205)(456, 1206)(457, 1207)(458, 1208)(459, 1209)(460, 1210)(461, 1211)(462, 1212)(463, 1213)(464, 1214)(465, 1215)(466, 1216)(467, 1217)(468, 1218)(469, 1219)(470, 1220)(471, 1221)(472, 1222)(473, 1223)(474, 1224)(475, 1225)(476, 1226)(477, 1227)(478, 1228)(479, 1229)(480, 1230)(481, 1231)(482, 1232)(483, 1233)(484, 1234)(485, 1235)(486, 1236)(487, 1237)(488, 1238)(489, 1239)(490, 1240)(491, 1241)(492, 1242)(493, 1243)(494, 1244)(495, 1245)(496, 1246)(497, 1247)(498, 1248)(499, 1249)(500, 1250)(501, 1251)(502, 1252)(503, 1253)(504, 1254)(505, 1255)(506, 1256)(507, 1257)(508, 1258)(509, 1259)(510, 1260)(511, 1261)(512, 1262)(513, 1263)(514, 1264)(515, 1265)(516, 1266)(517, 1267)(518, 1268)(519, 1269)(520, 1270)(521, 1271)(522, 1272)(523, 1273)(524, 1274)(525, 1275)(526, 1276)(527, 1277)(528, 1278)(529, 1279)(530, 1280)(531, 1281)(532, 1282)(533, 1283)(534, 1284)(535, 1285)(536, 1286)(537, 1287)(538, 1288)(539, 1289)(540, 1290)(541, 1291)(542, 1292)(543, 1293)(544, 1294)(545, 1295)(546, 1296)(547, 1297)(548, 1298)(549, 1299)(550, 1300)(551, 1301)(552, 1302)(553, 1303)(554, 1304)(555, 1305)(556, 1306)(557, 1307)(558, 1308)(559, 1309)(560, 1310)(561, 1311)(562, 1312)(563, 1313)(564, 1314)(565, 1315)(566, 1316)(567, 1317)(568, 1318)(569, 1319)(570, 1320)(571, 1321)(572, 1322)(573, 1323)(574, 1324)(575, 1325)(576, 1326)(577, 1327)(578, 1328)(579, 1329)(580, 1330)(581, 1331)(582, 1332)(583, 1333)(584, 1334)(585, 1335)(586, 1336)(587, 1337)(588, 1338)(589, 1339)(590, 1340)(591, 1341)(592, 1342)(593, 1343)(594, 1344)(595, 1345)(596, 1346)(597, 1347)(598, 1348)(599, 1349)(600, 1350)(601, 1351)(602, 1352)(603, 1353)(604, 1354)(605, 1355)(606, 1356)(607, 1357)(608, 1358)(609, 1359)(610, 1360)(611, 1361)(612, 1362)(613, 1363)(614, 1364)(615, 1365)(616, 1366)(617, 1367)(618, 1368)(619, 1369)(620, 1370)(621, 1371)(622, 1372)(623, 1373)(624, 1374)(625, 1375)(626, 1376)(627, 1377)(628, 1378)(629, 1379)(630, 1380)(631, 1381)(632, 1382)(633, 1383)(634, 1384)(635, 1385)(636, 1386)(637, 1387)(638, 1388)(639, 1389)(640, 1390)(641, 1391)(642, 1392)(643, 1393)(644, 1394)(645, 1395)(646, 1396)(647, 1397)(648, 1398)(649, 1399)(650, 1400)(651, 1401)(652, 1402)(653, 1403)(654, 1404)(655, 1405)(656, 1406)(657, 1407)(658, 1408)(659, 1409)(660, 1410)(661, 1411)(662, 1412)(663, 1413)(664, 1414)(665, 1415)(666, 1416)(667, 1417)(668, 1418)(669, 1419)(670, 1420)(671, 1421)(672, 1422)(673, 1423)(674, 1424)(675, 1425)(676, 1426)(677, 1427)(678, 1428)(679, 1429)(680, 1430)(681, 1431)(682, 1432)(683, 1433)(684, 1434)(685, 1435)(686, 1436)(687, 1437)(688, 1438)(689, 1439)(690, 1440)(691, 1441)(692, 1442)(693, 1443)(694, 1444)(695, 1445)(696, 1446)(697, 1447)(698, 1448)(699, 1449)(700, 1450)(701, 1451)(702, 1452)(703, 1453)(704, 1454)(705, 1455)(706, 1456)(707, 1457)(708, 1458)(709, 1459)(710, 1460)(711, 1461)(712, 1462)(713, 1463)(714, 1464)(715, 1465)(716, 1466)(717, 1467)(718, 1468)(719, 1469)(720, 1470)(721, 1471)(722, 1472)(723, 1473)(724, 1474)(725, 1475)(726, 1476)(727, 1477)(728, 1478)(729, 1479)(730, 1480)(731, 1481)(732, 1482)(733, 1483)(734, 1484)(735, 1485)(736, 1486)(737, 1487)(738, 1488)(739, 1489)(740, 1490)(741, 1491)(742, 1492)(743, 1493)(744, 1494)(745, 1495)(746, 1496)(747, 1497)(748, 1498)(749, 1499)(750, 1500)
	local type(s) :: { ( 6, 10 ), ( 6, 10, 6, 10, 6, 10 ) }
Outer automorphisms :: reflexible
Dual of E26.1514
Graph:: simple bipartite
	v = 500 e = 750 f = 200
	degree seq :: [ 2^375, 6^125 ]

E26.1516 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 3, 4})
Quotient :: edge
Aut^+ = $<600, 150>$ (small group id <600, 150>)
Aut   = $<600, 150>$ (small group id <600, 150>)
|r| :: 1
Presentation :: [ X1^3, X2^3, (X1 * X2)^4, (X2 * X1^-1)^6, X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2^-1 * X1^-1, (X2^-1, X1^-1)^4, X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2^-1 * X1^-1 * X2 * X1^-1 * X2 * X1 * X2, (X1, X2^-1)^4, X1^-1 * X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1^-1 * X2 * X1^-1 * X2^-1 * X1 * X2^-1, (X2 * X1 * X2^-1 * X1 * X2^-1 * X1^-1)^3 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 4)(3, 8, 9)(5, 12, 13)(6, 14, 15)(7, 16, 17)(10, 22, 23)(11, 24, 25)(18, 38, 39)(19, 40, 41)(20, 42, 43)(21, 44, 45)(26, 53, 54)(27, 55, 56)(28, 57, 58)(29, 59, 30)(31, 60, 61)(32, 62, 63)(33, 64, 65)(34, 66, 67)(35, 68, 69)(36, 70, 71)(37, 72, 46)(47, 86, 87)(48, 88, 89)(49, 90, 91)(50, 92, 93)(51, 94, 95)(52, 96, 97)(73, 133, 134)(74, 135, 136)(75, 137, 138)(76, 139, 140)(77, 141, 142)(78, 143, 79)(80, 144, 145)(81, 146, 124)(82, 147, 148)(83, 149, 150)(84, 151, 152)(85, 153, 154)(98, 176, 177)(99, 178, 179)(100, 180, 181)(101, 161, 182)(102, 183, 184)(103, 185, 104)(105, 186, 187)(106, 188, 189)(107, 190, 191)(108, 192, 193)(109, 194, 195)(110, 196, 197)(111, 198, 199)(112, 200, 201)(113, 202, 114)(115, 203, 204)(116, 205, 169)(117, 206, 207)(118, 208, 209)(119, 210, 211)(120, 212, 213)(121, 214, 215)(122, 216, 217)(123, 218, 219)(125, 220, 221)(126, 222, 127)(128, 223, 224)(129, 225, 226)(130, 227, 228)(131, 229, 230)(132, 231, 232)(155, 270, 271)(156, 272, 273)(157, 274, 275)(158, 276, 159)(160, 277, 278)(162, 279, 280)(163, 281, 282)(164, 283, 284)(165, 285, 286)(166, 287, 288)(167, 289, 290)(168, 291, 292)(170, 293, 294)(171, 295, 172)(173, 296, 297)(174, 298, 299)(175, 300, 233)(234, 391, 392)(235, 393, 263)(236, 394, 363)(237, 362, 361)(238, 395, 396)(239, 381, 380)(240, 397, 398)(241, 399, 400)(242, 401, 402)(243, 403, 404)(244, 405, 245)(246, 406, 353)(247, 407, 408)(248, 409, 410)(249, 411, 343)(250, 342, 412)(251, 413, 414)(252, 415, 416)(253, 417, 418)(254, 419, 255)(256, 420, 371)(257, 370, 421)(258, 422, 423)(259, 424, 425)(260, 426, 427)(261, 428, 429)(262, 430, 431)(264, 337, 336)(265, 432, 266)(267, 433, 434)(268, 435, 436)(269, 388, 301)(302, 387, 478)(303, 479, 330)(304, 480, 481)(305, 482, 379)(306, 483, 484)(307, 485, 352)(308, 351, 486)(309, 487, 449)(310, 448, 488)(311, 489, 312)(313, 490, 360)(314, 359, 491)(315, 492, 493)(316, 494, 495)(317, 477, 496)(318, 497, 498)(319, 339, 499)(320, 464, 500)(321, 390, 322)(323, 501, 502)(324, 503, 504)(325, 505, 376)(326, 506, 507)(327, 508, 355)(328, 509, 462)(329, 461, 460)(331, 474, 473)(332, 510, 511)(333, 512, 513)(334, 514, 515)(335, 516, 517)(338, 518, 453)(340, 519, 520)(341, 521, 445)(344, 522, 523)(345, 524, 525)(346, 526, 347)(348, 527, 467)(349, 466, 528)(350, 529, 530)(354, 531, 532)(356, 442, 441)(357, 533, 358)(364, 534, 389)(365, 535, 536)(366, 537, 472)(367, 538, 539)(368, 540, 452)(369, 451, 541)(372, 542, 459)(373, 458, 543)(374, 544, 545)(375, 546, 547)(377, 548, 549)(378, 443, 550)(382, 551, 552)(383, 553, 554)(384, 555, 470)(385, 556, 557)(386, 558, 455)(437, 577, 566)(438, 576, 578)(439, 579, 580)(440, 572, 565)(444, 581, 567)(446, 582, 583)(447, 561, 575)(450, 568, 584)(454, 560, 559)(456, 585, 457)(463, 586, 587)(465, 588, 589)(468, 564, 590)(469, 591, 592)(471, 593, 594)(475, 595, 573)(476, 596, 571)(562, 600, 599)(563, 570, 569)(574, 598, 597)(601, 603, 605)(602, 606, 607)(604, 610, 611)(608, 618, 619)(609, 620, 621)(612, 626, 627)(613, 628, 629)(614, 630, 631)(615, 632, 633)(616, 634, 635)(617, 636, 637)(622, 646, 647)(623, 648, 649)(624, 650, 651)(625, 652, 638)(639, 673, 674)(640, 675, 676)(641, 677, 678)(642, 679, 680)(643, 681, 682)(644, 683, 684)(645, 685, 653)(654, 698, 699)(655, 700, 701)(656, 702, 703)(657, 704, 705)(658, 706, 707)(659, 708, 709)(660, 710, 711)(661, 712, 713)(662, 714, 715)(663, 716, 717)(664, 718, 719)(665, 720, 666)(667, 721, 722)(668, 723, 724)(669, 725, 726)(670, 727, 728)(671, 729, 730)(672, 731, 732)(686, 755, 756)(687, 757, 758)(688, 759, 760)(689, 761, 762)(690, 763, 764)(691, 765, 692)(693, 766, 767)(694, 768, 769)(695, 770, 771)(696, 772, 773)(697, 774, 775)(733, 833, 834)(734, 835, 836)(735, 837, 838)(736, 839, 737)(738, 840, 841)(739, 842, 789)(740, 843, 844)(741, 845, 846)(742, 847, 848)(743, 849, 850)(744, 851, 852)(745, 853, 854)(746, 855, 856)(747, 857, 858)(748, 859, 749)(750, 860, 861)(751, 862, 863)(752, 864, 865)(753, 866, 867)(754, 868, 869)(776, 901, 902)(777, 903, 904)(778, 905, 906)(779, 907, 780)(781, 908, 909)(782, 910, 911)(783, 912, 913)(784, 914, 915)(785, 916, 917)(786, 918, 919)(787, 920, 921)(788, 922, 923)(790, 924, 925)(791, 926, 792)(793, 927, 928)(794, 929, 930)(795, 931, 796)(797, 932, 933)(798, 934, 826)(799, 935, 936)(800, 937, 938)(801, 939, 940)(802, 941, 942)(803, 943, 944)(804, 945, 946)(805, 947, 948)(806, 949, 950)(807, 951, 808)(809, 952, 953)(810, 954, 955)(811, 956, 957)(812, 958, 959)(813, 960, 961)(814, 962, 963)(815, 964, 965)(816, 966, 967)(817, 968, 818)(819, 969, 970)(820, 971, 972)(821, 973, 974)(822, 975, 976)(823, 977, 978)(824, 979, 980)(825, 981, 982)(827, 983, 984)(828, 985, 829)(830, 986, 987)(831, 988, 989)(832, 990, 870)(871, 1037, 1038)(872, 1039, 899)(873, 1040, 1041)(874, 1042, 1028)(875, 1043, 1044)(876, 1013, 1012)(877, 1045, 1046)(878, 1047, 1048)(879, 1049, 1050)(880, 1051, 881)(882, 1052, 1053)(883, 1054, 1055)(884, 1005, 1056)(885, 1057, 1058)(886, 1059, 1060)(887, 1061, 1062)(888, 995, 1063)(889, 1064, 1065)(890, 1026, 891)(892, 1025, 1066)(893, 1067, 1035)(894, 1034, 1068)(895, 1069, 1070)(896, 1071, 1008)(897, 1072, 1073)(898, 1074, 1075)(900, 1076, 1077)(991, 1095, 1149)(992, 1125, 1159)(993, 1160, 1118)(994, 1161, 1162)(996, 1163, 1151)(997, 1082, 1081)(998, 1121, 1120)(999, 1164, 1133)(1000, 1165, 1001)(1002, 1141, 1103)(1003, 1102, 1128)(1004, 1114, 1113)(1006, 1158, 1131)(1007, 1085, 1138)(1009, 1146, 1145)(1010, 1166, 1011)(1014, 1167, 1111)(1015, 1135, 1036)(1016, 1168, 1169)(1017, 1170, 1109)(1018, 1132, 1157)(1019, 1097, 1096)(1020, 1171, 1130)(1021, 1172, 1173)(1022, 1174, 1123)(1023, 1089, 1154)(1024, 1153, 1115)(1027, 1083, 1150)(1029, 1108, 1030)(1031, 1107, 1175)(1032, 1176, 1144)(1033, 1143, 1091)(1078, 1124, 1197)(1079, 1198, 1195)(1080, 1142, 1182)(1084, 1189, 1139)(1086, 1196, 1180)(1087, 1116, 1152)(1088, 1193, 1155)(1090, 1122, 1186)(1092, 1185, 1112)(1093, 1181, 1094)(1098, 1156, 1192)(1099, 1140, 1188)(1100, 1187, 1177)(1101, 1134, 1199)(1104, 1184, 1127)(1105, 1126, 1148)(1106, 1147, 1194)(1110, 1137, 1136)(1117, 1179, 1178)(1119, 1191, 1190)(1129, 1200, 1183)
	L = (1, 601)(2, 602)(3, 603)(4, 604)(5, 605)(6, 606)(7, 607)(8, 608)(9, 609)(10, 610)(11, 611)(12, 612)(13, 613)(14, 614)(15, 615)(16, 616)(17, 617)(18, 618)(19, 619)(20, 620)(21, 621)(22, 622)(23, 623)(24, 624)(25, 625)(26, 626)(27, 627)(28, 628)(29, 629)(30, 630)(31, 631)(32, 632)(33, 633)(34, 634)(35, 635)(36, 636)(37, 637)(38, 638)(39, 639)(40, 640)(41, 641)(42, 642)(43, 643)(44, 644)(45, 645)(46, 646)(47, 647)(48, 648)(49, 649)(50, 650)(51, 651)(52, 652)(53, 653)(54, 654)(55, 655)(56, 656)(57, 657)(58, 658)(59, 659)(60, 660)(61, 661)(62, 662)(63, 663)(64, 664)(65, 665)(66, 666)(67, 667)(68, 668)(69, 669)(70, 670)(71, 671)(72, 672)(73, 673)(74, 674)(75, 675)(76, 676)(77, 677)(78, 678)(79, 679)(80, 680)(81, 681)(82, 682)(83, 683)(84, 684)(85, 685)(86, 686)(87, 687)(88, 688)(89, 689)(90, 690)(91, 691)(92, 692)(93, 693)(94, 694)(95, 695)(96, 696)(97, 697)(98, 698)(99, 699)(100, 700)(101, 701)(102, 702)(103, 703)(104, 704)(105, 705)(106, 706)(107, 707)(108, 708)(109, 709)(110, 710)(111, 711)(112, 712)(113, 713)(114, 714)(115, 715)(116, 716)(117, 717)(118, 718)(119, 719)(120, 720)(121, 721)(122, 722)(123, 723)(124, 724)(125, 725)(126, 726)(127, 727)(128, 728)(129, 729)(130, 730)(131, 731)(132, 732)(133, 733)(134, 734)(135, 735)(136, 736)(137, 737)(138, 738)(139, 739)(140, 740)(141, 741)(142, 742)(143, 743)(144, 744)(145, 745)(146, 746)(147, 747)(148, 748)(149, 749)(150, 750)(151, 751)(152, 752)(153, 753)(154, 754)(155, 755)(156, 756)(157, 757)(158, 758)(159, 759)(160, 760)(161, 761)(162, 762)(163, 763)(164, 764)(165, 765)(166, 766)(167, 767)(168, 768)(169, 769)(170, 770)(171, 771)(172, 772)(173, 773)(174, 774)(175, 775)(176, 776)(177, 777)(178, 778)(179, 779)(180, 780)(181, 781)(182, 782)(183, 783)(184, 784)(185, 785)(186, 786)(187, 787)(188, 788)(189, 789)(190, 790)(191, 791)(192, 792)(193, 793)(194, 794)(195, 795)(196, 796)(197, 797)(198, 798)(199, 799)(200, 800)(201, 801)(202, 802)(203, 803)(204, 804)(205, 805)(206, 806)(207, 807)(208, 808)(209, 809)(210, 810)(211, 811)(212, 812)(213, 813)(214, 814)(215, 815)(216, 816)(217, 817)(218, 818)(219, 819)(220, 820)(221, 821)(222, 822)(223, 823)(224, 824)(225, 825)(226, 826)(227, 827)(228, 828)(229, 829)(230, 830)(231, 831)(232, 832)(233, 833)(234, 834)(235, 835)(236, 836)(237, 837)(238, 838)(239, 839)(240, 840)(241, 841)(242, 842)(243, 843)(244, 844)(245, 845)(246, 846)(247, 847)(248, 848)(249, 849)(250, 850)(251, 851)(252, 852)(253, 853)(254, 854)(255, 855)(256, 856)(257, 857)(258, 858)(259, 859)(260, 860)(261, 861)(262, 862)(263, 863)(264, 864)(265, 865)(266, 866)(267, 867)(268, 868)(269, 869)(270, 870)(271, 871)(272, 872)(273, 873)(274, 874)(275, 875)(276, 876)(277, 877)(278, 878)(279, 879)(280, 880)(281, 881)(282, 882)(283, 883)(284, 884)(285, 885)(286, 886)(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, 905)(306, 906)(307, 907)(308, 908)(309, 909)(310, 910)(311, 911)(312, 912)(313, 913)(314, 914)(315, 915)(316, 916)(317, 917)(318, 918)(319, 919)(320, 920)(321, 921)(322, 922)(323, 923)(324, 924)(325, 925)(326, 926)(327, 927)(328, 928)(329, 929)(330, 930)(331, 931)(332, 932)(333, 933)(334, 934)(335, 935)(336, 936)(337, 937)(338, 938)(339, 939)(340, 940)(341, 941)(342, 942)(343, 943)(344, 944)(345, 945)(346, 946)(347, 947)(348, 948)(349, 949)(350, 950)(351, 951)(352, 952)(353, 953)(354, 954)(355, 955)(356, 956)(357, 957)(358, 958)(359, 959)(360, 960)(361, 961)(362, 962)(363, 963)(364, 964)(365, 965)(366, 966)(367, 967)(368, 968)(369, 969)(370, 970)(371, 971)(372, 972)(373, 973)(374, 974)(375, 975)(376, 976)(377, 977)(378, 978)(379, 979)(380, 980)(381, 981)(382, 982)(383, 983)(384, 984)(385, 985)(386, 986)(387, 987)(388, 988)(389, 989)(390, 990)(391, 991)(392, 992)(393, 993)(394, 994)(395, 995)(396, 996)(397, 997)(398, 998)(399, 999)(400, 1000)(401, 1001)(402, 1002)(403, 1003)(404, 1004)(405, 1005)(406, 1006)(407, 1007)(408, 1008)(409, 1009)(410, 1010)(411, 1011)(412, 1012)(413, 1013)(414, 1014)(415, 1015)(416, 1016)(417, 1017)(418, 1018)(419, 1019)(420, 1020)(421, 1021)(422, 1022)(423, 1023)(424, 1024)(425, 1025)(426, 1026)(427, 1027)(428, 1028)(429, 1029)(430, 1030)(431, 1031)(432, 1032)(433, 1033)(434, 1034)(435, 1035)(436, 1036)(437, 1037)(438, 1038)(439, 1039)(440, 1040)(441, 1041)(442, 1042)(443, 1043)(444, 1044)(445, 1045)(446, 1046)(447, 1047)(448, 1048)(449, 1049)(450, 1050)(451, 1051)(452, 1052)(453, 1053)(454, 1054)(455, 1055)(456, 1056)(457, 1057)(458, 1058)(459, 1059)(460, 1060)(461, 1061)(462, 1062)(463, 1063)(464, 1064)(465, 1065)(466, 1066)(467, 1067)(468, 1068)(469, 1069)(470, 1070)(471, 1071)(472, 1072)(473, 1073)(474, 1074)(475, 1075)(476, 1076)(477, 1077)(478, 1078)(479, 1079)(480, 1080)(481, 1081)(482, 1082)(483, 1083)(484, 1084)(485, 1085)(486, 1086)(487, 1087)(488, 1088)(489, 1089)(490, 1090)(491, 1091)(492, 1092)(493, 1093)(494, 1094)(495, 1095)(496, 1096)(497, 1097)(498, 1098)(499, 1099)(500, 1100)(501, 1101)(502, 1102)(503, 1103)(504, 1104)(505, 1105)(506, 1106)(507, 1107)(508, 1108)(509, 1109)(510, 1110)(511, 1111)(512, 1112)(513, 1113)(514, 1114)(515, 1115)(516, 1116)(517, 1117)(518, 1118)(519, 1119)(520, 1120)(521, 1121)(522, 1122)(523, 1123)(524, 1124)(525, 1125)(526, 1126)(527, 1127)(528, 1128)(529, 1129)(530, 1130)(531, 1131)(532, 1132)(533, 1133)(534, 1134)(535, 1135)(536, 1136)(537, 1137)(538, 1138)(539, 1139)(540, 1140)(541, 1141)(542, 1142)(543, 1143)(544, 1144)(545, 1145)(546, 1146)(547, 1147)(548, 1148)(549, 1149)(550, 1150)(551, 1151)(552, 1152)(553, 1153)(554, 1154)(555, 1155)(556, 1156)(557, 1157)(558, 1158)(559, 1159)(560, 1160)(561, 1161)(562, 1162)(563, 1163)(564, 1164)(565, 1165)(566, 1166)(567, 1167)(568, 1168)(569, 1169)(570, 1170)(571, 1171)(572, 1172)(573, 1173)(574, 1174)(575, 1175)(576, 1176)(577, 1177)(578, 1178)(579, 1179)(580, 1180)(581, 1181)(582, 1182)(583, 1183)(584, 1184)(585, 1185)(586, 1186)(587, 1187)(588, 1188)(589, 1189)(590, 1190)(591, 1191)(592, 1192)(593, 1193)(594, 1194)(595, 1195)(596, 1196)(597, 1197)(598, 1198)(599, 1199)(600, 1200)
	local type(s) :: { ( 8^3 ) }
Outer automorphisms :: chiral
Dual of E26.1523
Transitivity :: ET+
Graph:: simple bipartite
	v = 400 e = 600 f = 150
	degree seq :: [ 3^400 ]

E26.1517 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 3, 4})
Quotient :: edge
Aut^+ = $<600, 150>$ (small group id <600, 150>)
Aut   = $<600, 150>$ (small group id <600, 150>)
|r| :: 1
Presentation :: [ X1^3, X2^4, (X1 * X2)^3, X1^-1 * X2 * X1 * X2 * X1 * X2 * X1^-1, X2^-2 * X1^-1 * X2 * X1 * X2 * X1 * X2 * X1^-1 * X2^-2, (X1 * X2^-1)^6, X2^-2 * X1 * X2^-1 * X1 * X2 * X1^-1 * X2^-2 * X1 * X2^-1 * X1^-1 * X2 * X1^-1, (X1, X2^-1)^4, X1 * X2^-2 * X1 * X2^-2 * X1^-1 * X2 * X1^-1 * X2 * X1 * X2^-1 * X1 * X2^-2 * X1 * X2^-1, (X2^-1 * X1 * X2^-1 * X1 * X2 * X1^-1)^3 ]
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, 144)(96, 176, 170)(97, 173, 178)(98, 179, 180)(102, 185, 186)(103, 187, 189)(106, 191, 192)(109, 197, 198)(115, 208, 210)(116, 211, 204)(117, 207, 213)(118, 193, 214)(119, 215, 216)(120, 217, 218)(121, 219, 221)(122, 222, 123)(124, 224, 225)(125, 226, 227)(126, 228, 229)(130, 234, 235)(132, 238, 239)(135, 244, 202)(136, 246, 240)(137, 243, 248)(138, 249, 250)(141, 255, 257)(142, 258, 251)(143, 254, 260)(145, 261, 262)(146, 263, 264)(147, 265, 267)(148, 268, 181)(149, 269, 270)(150, 271, 273)(152, 274, 275)(160, 286, 256)(161, 288, 289)(162, 290, 266)(163, 291, 292)(166, 296, 279)(167, 298, 293)(171, 241, 303)(172, 304, 306)(175, 307, 308)(177, 311, 312)(182, 319, 320)(183, 321, 322)(184, 323, 324)(188, 329, 330)(190, 333, 334)(194, 339, 335)(195, 337, 341)(196, 342, 343)(199, 348, 316)(200, 350, 344)(201, 347, 352)(203, 353, 354)(205, 356, 357)(206, 358, 360)(209, 325, 362)(212, 366, 367)(220, 327, 373)(223, 377, 378)(230, 386, 349)(231, 388, 389)(232, 390, 272)(233, 391, 392)(236, 395, 379)(237, 397, 393)(242, 302, 403)(245, 404, 405)(247, 408, 409)(252, 415, 416)(253, 417, 419)(259, 424, 425)(276, 441, 442)(277, 443, 437)(278, 440, 340)(280, 445, 446)(281, 447, 411)(282, 448, 369)(283, 449, 299)(284, 450, 451)(285, 452, 454)(287, 421, 455)(294, 345, 462)(295, 463, 464)(297, 380, 465)(300, 469, 470)(301, 471, 472)(305, 473, 474)(309, 478, 480)(310, 481, 482)(313, 485, 365)(314, 487, 483)(315, 484, 489)(317, 490, 491)(318, 492, 493)(326, 436, 501)(328, 374, 502)(331, 505, 494)(332, 506, 503)(336, 401, 510)(338, 511, 512)(346, 461, 521)(351, 524, 525)(355, 526, 527)(359, 529, 530)(361, 533, 413)(363, 535, 500)(364, 534, 428)(368, 539, 540)(370, 542, 543)(371, 522, 544)(372, 545, 457)(375, 546, 547)(376, 548, 549)(381, 444, 516)(382, 552, 426)(383, 553, 398)(384, 439, 554)(385, 555, 476)(387, 488, 556)(394, 528, 468)(396, 495, 560)(399, 537, 562)(400, 563, 564)(402, 565, 566)(406, 568, 460)(407, 570, 571)(410, 573, 423)(412, 572, 574)(414, 575, 467)(418, 576, 438)(420, 577, 518)(422, 453, 434)(427, 580, 536)(429, 581, 557)(430, 458, 582)(431, 583, 584)(432, 496, 486)(433, 541, 578)(435, 585, 586)(456, 589, 479)(459, 590, 569)(466, 559, 513)(475, 514, 591)(477, 519, 531)(497, 593, 507)(498, 551, 594)(499, 595, 567)(504, 538, 561)(508, 579, 596)(509, 588, 532)(515, 598, 523)(517, 587, 599)(520, 600, 550)(558, 592, 597)(601, 603, 609, 605)(602, 606, 616, 607)(604, 611, 627, 612)(608, 620, 641, 621)(610, 624, 649, 625)(613, 630, 659, 631)(614, 632, 633, 615)(617, 636, 672, 637)(618, 638, 675, 639)(619, 640, 652, 626)(622, 644, 686, 645)(623, 646, 690, 647)(628, 655, 706, 656)(629, 657, 709, 658)(634, 667, 726, 668)(635, 669, 730, 670)(642, 683, 752, 684)(643, 685, 692, 648)(650, 695, 775, 696)(651, 697, 777, 698)(653, 701, 784, 702)(654, 703, 788, 704)(660, 715, 809, 716)(661, 717, 812, 718)(662, 719, 720, 663)(664, 721, 820, 722)(665, 723, 823, 724)(666, 725, 732, 671)(673, 735, 845, 736)(674, 737, 847, 738)(676, 741, 856, 742)(677, 743, 859, 744)(678, 745, 746, 679)(680, 747, 866, 748)(681, 712, 803, 749)(682, 750, 872, 751)(687, 760, 887, 761)(688, 762, 763, 689)(691, 766, 897, 767)(693, 770, 902, 771)(694, 772, 905, 773)(699, 781, 918, 782)(700, 783, 790, 705)(707, 793, 938, 794)(708, 795, 940, 796)(710, 799, 949, 800)(711, 801, 951, 802)(713, 804, 955, 805)(714, 806, 959, 807)(727, 830, 987, 831)(728, 832, 833, 729)(731, 836, 996, 837)(733, 840, 1001, 841)(734, 842, 1002, 843)(739, 851, 1014, 852)(740, 853, 1018, 854)(753, 876, 813, 877)(754, 878, 1044, 879)(755, 880, 881, 756)(757, 882, 816, 883)(758, 780, 917, 884)(759, 885, 1053, 886)(764, 893, 1061, 894)(765, 895, 961, 808)(768, 899, 1068, 900)(769, 901, 861, 774)(776, 909, 1079, 910)(778, 913, 1086, 914)(779, 915, 1088, 916)(785, 925, 1100, 926)(786, 927, 928, 787)(789, 931, 1046, 932)(791, 935, 904, 903)(792, 936, 1109, 937)(797, 944, 1119, 945)(798, 946, 1120, 947)(810, 849, 1012, 963)(811, 964, 1136, 965)(814, 934, 968, 815)(817, 969, 1141, 970)(818, 971, 972, 819)(821, 888, 1056, 974)(822, 975, 860, 976)(824, 911, 1083, 979)(825, 980, 981, 826)(827, 982, 862, 983)(828, 850, 1013, 984)(829, 985, 1144, 986)(834, 993, 958, 957)(835, 994, 1020, 855)(838, 998, 1161, 999)(839, 1000, 953, 844)(846, 1006, 1169, 1007)(848, 1010, 1048, 1011)(857, 942, 1117, 1021)(858, 1022, 1178, 1023)(863, 1026, 1142, 1027)(864, 1028, 1029, 865)(867, 988, 1059, 891)(868, 1030, 952, 1031)(869, 1032, 1180, 1033)(870, 1034, 1035, 871)(873, 1036, 1158, 991)(874, 1037, 1148, 1038)(875, 1039, 1187, 1040)(889, 1057, 1058, 890)(892, 1060, 1045, 896)(898, 1066, 1112, 1067)(906, 1075, 1145, 1076)(907, 1025, 1063, 1062)(908, 1077, 997, 1078)(912, 978, 1151, 1084)(919, 1008, 1047, 1094)(920, 1095, 1087, 921)(922, 1096, 954, 1097)(923, 943, 1118, 1098)(924, 1099, 1134, 962)(929, 1103, 1017, 1016)(930, 1104, 1090, 948)(933, 1107, 1064, 1108)(939, 1113, 1197, 1114)(941, 1115, 1152, 1116)(950, 1122, 1143, 1123)(956, 1004, 1125, 1128)(960, 1131, 1198, 1132)(966, 1042, 1081, 1137)(967, 1138, 1015, 1111)(973, 1101, 1186, 1146)(977, 1149, 1183, 1150)(989, 1157, 1041, 990)(992, 1159, 1065, 995)(1003, 1082, 1181, 1167)(1005, 1127, 1106, 1168)(1009, 1093, 1050, 1172)(1019, 1126, 1085, 1074)(1024, 1147, 1170, 1179)(1043, 1130, 1092, 1184)(1049, 1140, 1089, 1177)(1051, 1129, 1188, 1052)(1054, 1110, 1171, 1185)(1055, 1163, 1162, 1189)(1069, 1124, 1182, 1191)(1070, 1192, 1135, 1071)(1072, 1174, 1091, 1153)(1073, 1155, 1154, 1176)(1080, 1160, 1105, 1102)(1121, 1175, 1173, 1166)(1133, 1193, 1164, 1199)(1139, 1196, 1190, 1156)(1165, 1195, 1194, 1200)
	L = (1, 601)(2, 602)(3, 603)(4, 604)(5, 605)(6, 606)(7, 607)(8, 608)(9, 609)(10, 610)(11, 611)(12, 612)(13, 613)(14, 614)(15, 615)(16, 616)(17, 617)(18, 618)(19, 619)(20, 620)(21, 621)(22, 622)(23, 623)(24, 624)(25, 625)(26, 626)(27, 627)(28, 628)(29, 629)(30, 630)(31, 631)(32, 632)(33, 633)(34, 634)(35, 635)(36, 636)(37, 637)(38, 638)(39, 639)(40, 640)(41, 641)(42, 642)(43, 643)(44, 644)(45, 645)(46, 646)(47, 647)(48, 648)(49, 649)(50, 650)(51, 651)(52, 652)(53, 653)(54, 654)(55, 655)(56, 656)(57, 657)(58, 658)(59, 659)(60, 660)(61, 661)(62, 662)(63, 663)(64, 664)(65, 665)(66, 666)(67, 667)(68, 668)(69, 669)(70, 670)(71, 671)(72, 672)(73, 673)(74, 674)(75, 675)(76, 676)(77, 677)(78, 678)(79, 679)(80, 680)(81, 681)(82, 682)(83, 683)(84, 684)(85, 685)(86, 686)(87, 687)(88, 688)(89, 689)(90, 690)(91, 691)(92, 692)(93, 693)(94, 694)(95, 695)(96, 696)(97, 697)(98, 698)(99, 699)(100, 700)(101, 701)(102, 702)(103, 703)(104, 704)(105, 705)(106, 706)(107, 707)(108, 708)(109, 709)(110, 710)(111, 711)(112, 712)(113, 713)(114, 714)(115, 715)(116, 716)(117, 717)(118, 718)(119, 719)(120, 720)(121, 721)(122, 722)(123, 723)(124, 724)(125, 725)(126, 726)(127, 727)(128, 728)(129, 729)(130, 730)(131, 731)(132, 732)(133, 733)(134, 734)(135, 735)(136, 736)(137, 737)(138, 738)(139, 739)(140, 740)(141, 741)(142, 742)(143, 743)(144, 744)(145, 745)(146, 746)(147, 747)(148, 748)(149, 749)(150, 750)(151, 751)(152, 752)(153, 753)(154, 754)(155, 755)(156, 756)(157, 757)(158, 758)(159, 759)(160, 760)(161, 761)(162, 762)(163, 763)(164, 764)(165, 765)(166, 766)(167, 767)(168, 768)(169, 769)(170, 770)(171, 771)(172, 772)(173, 773)(174, 774)(175, 775)(176, 776)(177, 777)(178, 778)(179, 779)(180, 780)(181, 781)(182, 782)(183, 783)(184, 784)(185, 785)(186, 786)(187, 787)(188, 788)(189, 789)(190, 790)(191, 791)(192, 792)(193, 793)(194, 794)(195, 795)(196, 796)(197, 797)(198, 798)(199, 799)(200, 800)(201, 801)(202, 802)(203, 803)(204, 804)(205, 805)(206, 806)(207, 807)(208, 808)(209, 809)(210, 810)(211, 811)(212, 812)(213, 813)(214, 814)(215, 815)(216, 816)(217, 817)(218, 818)(219, 819)(220, 820)(221, 821)(222, 822)(223, 823)(224, 824)(225, 825)(226, 826)(227, 827)(228, 828)(229, 829)(230, 830)(231, 831)(232, 832)(233, 833)(234, 834)(235, 835)(236, 836)(237, 837)(238, 838)(239, 839)(240, 840)(241, 841)(242, 842)(243, 843)(244, 844)(245, 845)(246, 846)(247, 847)(248, 848)(249, 849)(250, 850)(251, 851)(252, 852)(253, 853)(254, 854)(255, 855)(256, 856)(257, 857)(258, 858)(259, 859)(260, 860)(261, 861)(262, 862)(263, 863)(264, 864)(265, 865)(266, 866)(267, 867)(268, 868)(269, 869)(270, 870)(271, 871)(272, 872)(273, 873)(274, 874)(275, 875)(276, 876)(277, 877)(278, 878)(279, 879)(280, 880)(281, 881)(282, 882)(283, 883)(284, 884)(285, 885)(286, 886)(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, 905)(306, 906)(307, 907)(308, 908)(309, 909)(310, 910)(311, 911)(312, 912)(313, 913)(314, 914)(315, 915)(316, 916)(317, 917)(318, 918)(319, 919)(320, 920)(321, 921)(322, 922)(323, 923)(324, 924)(325, 925)(326, 926)(327, 927)(328, 928)(329, 929)(330, 930)(331, 931)(332, 932)(333, 933)(334, 934)(335, 935)(336, 936)(337, 937)(338, 938)(339, 939)(340, 940)(341, 941)(342, 942)(343, 943)(344, 944)(345, 945)(346, 946)(347, 947)(348, 948)(349, 949)(350, 950)(351, 951)(352, 952)(353, 953)(354, 954)(355, 955)(356, 956)(357, 957)(358, 958)(359, 959)(360, 960)(361, 961)(362, 962)(363, 963)(364, 964)(365, 965)(366, 966)(367, 967)(368, 968)(369, 969)(370, 970)(371, 971)(372, 972)(373, 973)(374, 974)(375, 975)(376, 976)(377, 977)(378, 978)(379, 979)(380, 980)(381, 981)(382, 982)(383, 983)(384, 984)(385, 985)(386, 986)(387, 987)(388, 988)(389, 989)(390, 990)(391, 991)(392, 992)(393, 993)(394, 994)(395, 995)(396, 996)(397, 997)(398, 998)(399, 999)(400, 1000)(401, 1001)(402, 1002)(403, 1003)(404, 1004)(405, 1005)(406, 1006)(407, 1007)(408, 1008)(409, 1009)(410, 1010)(411, 1011)(412, 1012)(413, 1013)(414, 1014)(415, 1015)(416, 1016)(417, 1017)(418, 1018)(419, 1019)(420, 1020)(421, 1021)(422, 1022)(423, 1023)(424, 1024)(425, 1025)(426, 1026)(427, 1027)(428, 1028)(429, 1029)(430, 1030)(431, 1031)(432, 1032)(433, 1033)(434, 1034)(435, 1035)(436, 1036)(437, 1037)(438, 1038)(439, 1039)(440, 1040)(441, 1041)(442, 1042)(443, 1043)(444, 1044)(445, 1045)(446, 1046)(447, 1047)(448, 1048)(449, 1049)(450, 1050)(451, 1051)(452, 1052)(453, 1053)(454, 1054)(455, 1055)(456, 1056)(457, 1057)(458, 1058)(459, 1059)(460, 1060)(461, 1061)(462, 1062)(463, 1063)(464, 1064)(465, 1065)(466, 1066)(467, 1067)(468, 1068)(469, 1069)(470, 1070)(471, 1071)(472, 1072)(473, 1073)(474, 1074)(475, 1075)(476, 1076)(477, 1077)(478, 1078)(479, 1079)(480, 1080)(481, 1081)(482, 1082)(483, 1083)(484, 1084)(485, 1085)(486, 1086)(487, 1087)(488, 1088)(489, 1089)(490, 1090)(491, 1091)(492, 1092)(493, 1093)(494, 1094)(495, 1095)(496, 1096)(497, 1097)(498, 1098)(499, 1099)(500, 1100)(501, 1101)(502, 1102)(503, 1103)(504, 1104)(505, 1105)(506, 1106)(507, 1107)(508, 1108)(509, 1109)(510, 1110)(511, 1111)(512, 1112)(513, 1113)(514, 1114)(515, 1115)(516, 1116)(517, 1117)(518, 1118)(519, 1119)(520, 1120)(521, 1121)(522, 1122)(523, 1123)(524, 1124)(525, 1125)(526, 1126)(527, 1127)(528, 1128)(529, 1129)(530, 1130)(531, 1131)(532, 1132)(533, 1133)(534, 1134)(535, 1135)(536, 1136)(537, 1137)(538, 1138)(539, 1139)(540, 1140)(541, 1141)(542, 1142)(543, 1143)(544, 1144)(545, 1145)(546, 1146)(547, 1147)(548, 1148)(549, 1149)(550, 1150)(551, 1151)(552, 1152)(553, 1153)(554, 1154)(555, 1155)(556, 1156)(557, 1157)(558, 1158)(559, 1159)(560, 1160)(561, 1161)(562, 1162)(563, 1163)(564, 1164)(565, 1165)(566, 1166)(567, 1167)(568, 1168)(569, 1169)(570, 1170)(571, 1171)(572, 1172)(573, 1173)(574, 1174)(575, 1175)(576, 1176)(577, 1177)(578, 1178)(579, 1179)(580, 1180)(581, 1181)(582, 1182)(583, 1183)(584, 1184)(585, 1185)(586, 1186)(587, 1187)(588, 1188)(589, 1189)(590, 1190)(591, 1191)(592, 1192)(593, 1193)(594, 1194)(595, 1195)(596, 1196)(597, 1197)(598, 1198)(599, 1199)(600, 1200)
	local type(s) :: { ( 6^3 ), ( 6^4 ) }
Outer automorphisms :: chiral
Dual of E26.1522
Transitivity :: ET+
Graph:: simple bipartite
	v = 350 e = 600 f = 200
	degree seq :: [ 3^200, 4^150 ]

E26.1518 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 3, 4})
Quotient :: edge
Aut^+ = $<600, 150>$ (small group id <600, 150>)
Aut   = $<600, 150>$ (small group id <600, 150>)
|r| :: 1
Presentation :: [ X1^3, X2^4, (X1 * X2)^3, (X1^-1 * X2)^6, (X1 * X2^-1)^6, (X1 * X2^-1 * X1^-1 * X2 * X1^-1 * X2^-1 * X1)^2, X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1^-1 * X2 * X1^-1 * X2 * X1^-1 * X2^2 * X1^-1 * X2 * X1, (X1, X2^-1)^4 ]
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, 144)(96, 176, 170)(97, 173, 178)(98, 179, 180)(102, 185, 186)(103, 187, 189)(106, 191, 192)(109, 197, 198)(115, 208, 210)(116, 211, 204)(117, 207, 213)(118, 193, 214)(119, 215, 216)(120, 217, 218)(121, 219, 221)(122, 222, 123)(124, 224, 225)(125, 226, 227)(126, 228, 229)(130, 234, 235)(132, 238, 239)(135, 244, 202)(136, 246, 240)(137, 243, 248)(138, 249, 250)(141, 255, 257)(142, 258, 251)(143, 254, 260)(145, 261, 262)(146, 263, 264)(147, 265, 267)(148, 268, 181)(149, 269, 270)(150, 271, 273)(152, 274, 275)(160, 286, 288)(161, 289, 290)(162, 291, 292)(163, 293, 294)(166, 298, 279)(167, 300, 295)(171, 305, 306)(172, 307, 309)(175, 310, 311)(177, 314, 315)(182, 322, 323)(183, 324, 325)(184, 326, 327)(188, 332, 333)(190, 336, 337)(194, 343, 338)(195, 341, 345)(196, 346, 347)(199, 352, 319)(200, 354, 348)(201, 351, 356)(203, 357, 358)(205, 360, 361)(206, 362, 364)(209, 366, 367)(212, 371, 372)(220, 382, 383)(223, 387, 388)(230, 395, 396)(231, 277, 397)(232, 398, 399)(233, 400, 401)(236, 404, 390)(237, 405, 402)(241, 320, 409)(242, 410, 412)(245, 413, 414)(247, 417, 418)(252, 423, 424)(253, 425, 426)(256, 376, 427)(259, 431, 432)(266, 440, 441)(272, 446, 447)(276, 448, 449)(278, 378, 377)(280, 451, 452)(281, 453, 420)(282, 454, 456)(283, 342, 301)(284, 457, 458)(285, 459, 344)(287, 461, 321)(296, 469, 470)(297, 471, 340)(299, 472, 335)(302, 473, 474)(303, 475, 476)(304, 477, 478)(308, 480, 481)(312, 483, 484)(313, 485, 486)(316, 490, 370)(317, 492, 487)(318, 489, 494)(328, 499, 500)(329, 386, 501)(330, 502, 373)(331, 363, 503)(334, 505, 496)(339, 422, 365)(349, 359, 514)(350, 515, 516)(353, 434, 517)(355, 520, 521)(368, 529, 526)(369, 528, 438)(374, 534, 531)(375, 535, 536)(379, 538, 539)(380, 518, 540)(381, 541, 464)(384, 544, 542)(385, 543, 545)(389, 436, 435)(391, 547, 462)(392, 460, 512)(393, 548, 549)(394, 550, 488)(403, 556, 482)(406, 557, 558)(407, 559, 527)(408, 560, 532)(411, 561, 525)(415, 563, 467)(416, 564, 565)(419, 524, 430)(421, 567, 568)(428, 572, 537)(429, 571, 444)(433, 576, 574)(437, 578, 530)(439, 579, 552)(442, 523, 495)(443, 463, 573)(445, 580, 581)(450, 583, 584)(455, 554, 509)(465, 587, 522)(466, 553, 533)(468, 546, 588)(479, 591, 566)(491, 585, 498)(493, 594, 577)(497, 593, 551)(504, 596, 562)(506, 589, 597)(507, 598, 575)(508, 582, 570)(510, 592, 599)(511, 569, 519)(513, 586, 600)(555, 595, 590)(601, 603, 609, 605)(602, 606, 616, 607)(604, 611, 627, 612)(608, 620, 641, 621)(610, 624, 649, 625)(613, 630, 659, 631)(614, 632, 633, 615)(617, 636, 672, 637)(618, 638, 675, 639)(619, 640, 652, 626)(622, 644, 686, 645)(623, 646, 690, 647)(628, 655, 706, 656)(629, 657, 709, 658)(634, 667, 726, 668)(635, 669, 730, 670)(642, 683, 752, 684)(643, 685, 692, 648)(650, 695, 775, 696)(651, 697, 777, 698)(653, 701, 784, 702)(654, 703, 788, 704)(660, 715, 809, 716)(661, 717, 812, 718)(662, 719, 720, 663)(664, 721, 820, 722)(665, 723, 823, 724)(666, 725, 732, 671)(673, 735, 845, 736)(674, 737, 847, 738)(676, 741, 856, 742)(677, 743, 859, 744)(678, 745, 746, 679)(680, 747, 866, 748)(681, 712, 803, 749)(682, 750, 872, 751)(687, 760, 887, 761)(688, 762, 763, 689)(691, 766, 899, 767)(693, 770, 904, 771)(694, 772, 908, 773)(699, 781, 921, 782)(700, 783, 790, 705)(707, 793, 942, 794)(708, 795, 944, 796)(710, 799, 953, 800)(711, 801, 955, 802)(713, 804, 959, 805)(714, 806, 963, 807)(727, 830, 874, 831)(728, 832, 833, 729)(731, 836, 900, 837)(733, 840, 1008, 841)(734, 842, 1011, 843)(739, 851, 960, 852)(740, 853, 893, 854)(753, 876, 867, 877)(754, 878, 1050, 879)(755, 880, 881, 756)(757, 882, 1055, 883)(758, 780, 920, 884)(759, 885, 1060, 886)(764, 895, 1068, 896)(765, 897, 965, 808)(768, 901, 972, 902)(769, 903, 861, 774)(776, 912, 964, 913)(778, 916, 1091, 917)(779, 918, 1093, 919)(785, 928, 987, 929)(786, 930, 931, 787)(789, 934, 1005, 935)(791, 938, 1107, 939)(792, 940, 1108, 941)(797, 948, 1023, 949)(798, 950, 1000, 951)(810, 849, 1021, 968)(811, 969, 1130, 970)(813, 973, 1133, 974)(814, 937, 975, 815)(816, 976, 1137, 977)(817, 978, 875, 979)(818, 980, 981, 819)(821, 889, 868, 984)(822, 985, 873, 986)(824, 989, 1146, 990)(825, 991, 992, 826)(827, 993, 1083, 911)(828, 850, 1022, 994)(829, 914, 1087, 995)(834, 1002, 1155, 1003)(835, 907, 906, 855)(838, 910, 1032, 1006)(839, 1007, 957, 844)(846, 1015, 1026, 1016)(848, 1019, 1054, 1020)(857, 946, 1113, 1028)(858, 1029, 1173, 1030)(860, 892, 1066, 1033)(862, 1034, 1177, 1035)(863, 1036, 988, 1037)(864, 1038, 1039, 865)(869, 1042, 1061, 1043)(870, 1044, 1045, 871)(888, 1062, 1056, 1063)(890, 1064, 1065, 891)(894, 1067, 1051, 898)(905, 1079, 926, 947)(909, 1082, 1143, 983)(915, 1088, 1180, 1089)(922, 1095, 1195, 1096)(923, 1097, 1092, 924)(925, 1098, 1163, 1014)(927, 1017, 1053, 1099)(932, 1072, 1184, 1104)(933, 1010, 1009, 952)(936, 1013, 1121, 1106)(943, 1109, 1116, 1110)(945, 1111, 1148, 1112)(954, 1118, 1139, 1119)(956, 999, 1153, 1122)(958, 966, 1126, 1123)(961, 1124, 1125, 962)(967, 1127, 1200, 1128)(971, 1131, 1057, 1132)(982, 1142, 1192, 1080)(996, 1151, 1149, 1138)(997, 1152, 1134, 998)(1001, 1154, 1147, 1004)(1012, 1162, 1144, 1041)(1018, 1166, 1141, 1167)(1024, 1169, 1170, 1025)(1027, 1136, 1094, 1171)(1031, 1174, 1150, 1175)(1040, 1049, 1085, 1161)(1046, 1145, 1164, 1182)(1047, 1071, 1070, 1048)(1052, 1185, 1178, 1100)(1058, 1179, 1186, 1059)(1069, 1189, 1077, 1086)(1073, 1160, 1165, 1156)(1074, 1190, 1129, 1075)(1076, 1168, 1140, 1117)(1078, 1120, 1187, 1191)(1081, 1115, 1114, 1090)(1084, 1193, 1105, 1103)(1101, 1181, 1176, 1102)(1135, 1197, 1188, 1194)(1157, 1198, 1199, 1196)(1158, 1183, 1172, 1159)
	L = (1, 601)(2, 602)(3, 603)(4, 604)(5, 605)(6, 606)(7, 607)(8, 608)(9, 609)(10, 610)(11, 611)(12, 612)(13, 613)(14, 614)(15, 615)(16, 616)(17, 617)(18, 618)(19, 619)(20, 620)(21, 621)(22, 622)(23, 623)(24, 624)(25, 625)(26, 626)(27, 627)(28, 628)(29, 629)(30, 630)(31, 631)(32, 632)(33, 633)(34, 634)(35, 635)(36, 636)(37, 637)(38, 638)(39, 639)(40, 640)(41, 641)(42, 642)(43, 643)(44, 644)(45, 645)(46, 646)(47, 647)(48, 648)(49, 649)(50, 650)(51, 651)(52, 652)(53, 653)(54, 654)(55, 655)(56, 656)(57, 657)(58, 658)(59, 659)(60, 660)(61, 661)(62, 662)(63, 663)(64, 664)(65, 665)(66, 666)(67, 667)(68, 668)(69, 669)(70, 670)(71, 671)(72, 672)(73, 673)(74, 674)(75, 675)(76, 676)(77, 677)(78, 678)(79, 679)(80, 680)(81, 681)(82, 682)(83, 683)(84, 684)(85, 685)(86, 686)(87, 687)(88, 688)(89, 689)(90, 690)(91, 691)(92, 692)(93, 693)(94, 694)(95, 695)(96, 696)(97, 697)(98, 698)(99, 699)(100, 700)(101, 701)(102, 702)(103, 703)(104, 704)(105, 705)(106, 706)(107, 707)(108, 708)(109, 709)(110, 710)(111, 711)(112, 712)(113, 713)(114, 714)(115, 715)(116, 716)(117, 717)(118, 718)(119, 719)(120, 720)(121, 721)(122, 722)(123, 723)(124, 724)(125, 725)(126, 726)(127, 727)(128, 728)(129, 729)(130, 730)(131, 731)(132, 732)(133, 733)(134, 734)(135, 735)(136, 736)(137, 737)(138, 738)(139, 739)(140, 740)(141, 741)(142, 742)(143, 743)(144, 744)(145, 745)(146, 746)(147, 747)(148, 748)(149, 749)(150, 750)(151, 751)(152, 752)(153, 753)(154, 754)(155, 755)(156, 756)(157, 757)(158, 758)(159, 759)(160, 760)(161, 761)(162, 762)(163, 763)(164, 764)(165, 765)(166, 766)(167, 767)(168, 768)(169, 769)(170, 770)(171, 771)(172, 772)(173, 773)(174, 774)(175, 775)(176, 776)(177, 777)(178, 778)(179, 779)(180, 780)(181, 781)(182, 782)(183, 783)(184, 784)(185, 785)(186, 786)(187, 787)(188, 788)(189, 789)(190, 790)(191, 791)(192, 792)(193, 793)(194, 794)(195, 795)(196, 796)(197, 797)(198, 798)(199, 799)(200, 800)(201, 801)(202, 802)(203, 803)(204, 804)(205, 805)(206, 806)(207, 807)(208, 808)(209, 809)(210, 810)(211, 811)(212, 812)(213, 813)(214, 814)(215, 815)(216, 816)(217, 817)(218, 818)(219, 819)(220, 820)(221, 821)(222, 822)(223, 823)(224, 824)(225, 825)(226, 826)(227, 827)(228, 828)(229, 829)(230, 830)(231, 831)(232, 832)(233, 833)(234, 834)(235, 835)(236, 836)(237, 837)(238, 838)(239, 839)(240, 840)(241, 841)(242, 842)(243, 843)(244, 844)(245, 845)(246, 846)(247, 847)(248, 848)(249, 849)(250, 850)(251, 851)(252, 852)(253, 853)(254, 854)(255, 855)(256, 856)(257, 857)(258, 858)(259, 859)(260, 860)(261, 861)(262, 862)(263, 863)(264, 864)(265, 865)(266, 866)(267, 867)(268, 868)(269, 869)(270, 870)(271, 871)(272, 872)(273, 873)(274, 874)(275, 875)(276, 876)(277, 877)(278, 878)(279, 879)(280, 880)(281, 881)(282, 882)(283, 883)(284, 884)(285, 885)(286, 886)(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, 905)(306, 906)(307, 907)(308, 908)(309, 909)(310, 910)(311, 911)(312, 912)(313, 913)(314, 914)(315, 915)(316, 916)(317, 917)(318, 918)(319, 919)(320, 920)(321, 921)(322, 922)(323, 923)(324, 924)(325, 925)(326, 926)(327, 927)(328, 928)(329, 929)(330, 930)(331, 931)(332, 932)(333, 933)(334, 934)(335, 935)(336, 936)(337, 937)(338, 938)(339, 939)(340, 940)(341, 941)(342, 942)(343, 943)(344, 944)(345, 945)(346, 946)(347, 947)(348, 948)(349, 949)(350, 950)(351, 951)(352, 952)(353, 953)(354, 954)(355, 955)(356, 956)(357, 957)(358, 958)(359, 959)(360, 960)(361, 961)(362, 962)(363, 963)(364, 964)(365, 965)(366, 966)(367, 967)(368, 968)(369, 969)(370, 970)(371, 971)(372, 972)(373, 973)(374, 974)(375, 975)(376, 976)(377, 977)(378, 978)(379, 979)(380, 980)(381, 981)(382, 982)(383, 983)(384, 984)(385, 985)(386, 986)(387, 987)(388, 988)(389, 989)(390, 990)(391, 991)(392, 992)(393, 993)(394, 994)(395, 995)(396, 996)(397, 997)(398, 998)(399, 999)(400, 1000)(401, 1001)(402, 1002)(403, 1003)(404, 1004)(405, 1005)(406, 1006)(407, 1007)(408, 1008)(409, 1009)(410, 1010)(411, 1011)(412, 1012)(413, 1013)(414, 1014)(415, 1015)(416, 1016)(417, 1017)(418, 1018)(419, 1019)(420, 1020)(421, 1021)(422, 1022)(423, 1023)(424, 1024)(425, 1025)(426, 1026)(427, 1027)(428, 1028)(429, 1029)(430, 1030)(431, 1031)(432, 1032)(433, 1033)(434, 1034)(435, 1035)(436, 1036)(437, 1037)(438, 1038)(439, 1039)(440, 1040)(441, 1041)(442, 1042)(443, 1043)(444, 1044)(445, 1045)(446, 1046)(447, 1047)(448, 1048)(449, 1049)(450, 1050)(451, 1051)(452, 1052)(453, 1053)(454, 1054)(455, 1055)(456, 1056)(457, 1057)(458, 1058)(459, 1059)(460, 1060)(461, 1061)(462, 1062)(463, 1063)(464, 1064)(465, 1065)(466, 1066)(467, 1067)(468, 1068)(469, 1069)(470, 1070)(471, 1071)(472, 1072)(473, 1073)(474, 1074)(475, 1075)(476, 1076)(477, 1077)(478, 1078)(479, 1079)(480, 1080)(481, 1081)(482, 1082)(483, 1083)(484, 1084)(485, 1085)(486, 1086)(487, 1087)(488, 1088)(489, 1089)(490, 1090)(491, 1091)(492, 1092)(493, 1093)(494, 1094)(495, 1095)(496, 1096)(497, 1097)(498, 1098)(499, 1099)(500, 1100)(501, 1101)(502, 1102)(503, 1103)(504, 1104)(505, 1105)(506, 1106)(507, 1107)(508, 1108)(509, 1109)(510, 1110)(511, 1111)(512, 1112)(513, 1113)(514, 1114)(515, 1115)(516, 1116)(517, 1117)(518, 1118)(519, 1119)(520, 1120)(521, 1121)(522, 1122)(523, 1123)(524, 1124)(525, 1125)(526, 1126)(527, 1127)(528, 1128)(529, 1129)(530, 1130)(531, 1131)(532, 1132)(533, 1133)(534, 1134)(535, 1135)(536, 1136)(537, 1137)(538, 1138)(539, 1139)(540, 1140)(541, 1141)(542, 1142)(543, 1143)(544, 1144)(545, 1145)(546, 1146)(547, 1147)(548, 1148)(549, 1149)(550, 1150)(551, 1151)(552, 1152)(553, 1153)(554, 1154)(555, 1155)(556, 1156)(557, 1157)(558, 1158)(559, 1159)(560, 1160)(561, 1161)(562, 1162)(563, 1163)(564, 1164)(565, 1165)(566, 1166)(567, 1167)(568, 1168)(569, 1169)(570, 1170)(571, 1171)(572, 1172)(573, 1173)(574, 1174)(575, 1175)(576, 1176)(577, 1177)(578, 1178)(579, 1179)(580, 1180)(581, 1181)(582, 1182)(583, 1183)(584, 1184)(585, 1185)(586, 1186)(587, 1187)(588, 1188)(589, 1189)(590, 1190)(591, 1191)(592, 1192)(593, 1193)(594, 1194)(595, 1195)(596, 1196)(597, 1197)(598, 1198)(599, 1199)(600, 1200)
	local type(s) :: { ( 6^3 ), ( 6^4 ) }
Outer automorphisms :: chiral
Dual of E26.1521
Transitivity :: ET+
Graph:: simple bipartite
	v = 350 e = 600 f = 200
	degree seq :: [ 3^200, 4^150 ]

E26.1519 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 3, 4})
Quotient :: edge
Aut^+ = $<600, 150>$ (small group id <600, 150>)
Aut   = $<600, 150>$ (small group id <600, 150>)
|r| :: 1
Presentation :: [ X1^3, X2^4, (X2^-1 * X1^-1)^3, X1 * X2^-3 * X1 * X2^-3 * X1 * X2, (X1 * X2^-1)^6, X2^-1 * X1 * X2^-2 * X1 * X2^-1 * X1^-1 * X2 * X1^-1 * X2^-1 * X1 * X2^-2 * X1^-1 * X2^-1, X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2^-2 * X1^-1 * X2 * X1, X2^-2 * X1^-1 * X2 * X1^-1 * X2^-2 * X1 * X2^-1 * X1 * X2^-1 * X1^-1 * X2 * X1^-1 * X2 * X1^-1, (X2^-1, X1^-1)^4 ]
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, 144)(96, 176, 170)(97, 173, 178)(98, 179, 180)(102, 185, 186)(103, 187, 189)(106, 191, 192)(109, 197, 198)(115, 208, 210)(116, 211, 204)(117, 207, 213)(118, 193, 214)(119, 215, 216)(120, 217, 218)(121, 219, 221)(122, 222, 123)(124, 224, 225)(125, 226, 227)(126, 228, 229)(130, 234, 235)(132, 238, 239)(135, 244, 202)(136, 246, 240)(137, 243, 248)(138, 249, 250)(141, 255, 257)(142, 258, 251)(143, 254, 260)(145, 261, 262)(146, 263, 264)(147, 265, 267)(148, 268, 181)(149, 269, 270)(150, 271, 273)(152, 274, 275)(160, 286, 288)(161, 289, 290)(162, 291, 292)(163, 293, 294)(166, 298, 279)(167, 300, 295)(171, 305, 306)(172, 307, 309)(175, 310, 311)(177, 314, 315)(182, 322, 323)(183, 324, 325)(184, 326, 327)(188, 332, 333)(190, 336, 337)(194, 343, 338)(195, 341, 345)(196, 346, 347)(199, 352, 319)(200, 354, 348)(201, 351, 356)(203, 357, 358)(205, 360, 361)(206, 362, 364)(209, 366, 367)(212, 371, 372)(220, 382, 383)(223, 301, 283)(230, 395, 397)(231, 398, 399)(232, 400, 285)(233, 284, 401)(236, 403, 388)(237, 405, 277)(241, 410, 411)(242, 412, 318)(245, 413, 414)(247, 417, 418)(252, 424, 381)(253, 380, 426)(256, 428, 363)(259, 431, 432)(266, 441, 442)(272, 446, 447)(276, 451, 452)(278, 450, 454)(280, 455, 456)(281, 457, 420)(282, 458, 460)(287, 435, 462)(296, 470, 471)(297, 472, 473)(299, 433, 474)(302, 476, 477)(303, 478, 479)(304, 378, 377)(308, 344, 482)(312, 484, 486)(313, 487, 488)(316, 491, 370)(317, 493, 489)(320, 495, 496)(321, 406, 392)(328, 501, 503)(329, 448, 504)(330, 505, 394)(331, 393, 506)(334, 508, 498)(335, 475, 386)(339, 465, 512)(340, 513, 421)(342, 514, 483)(349, 520, 440)(350, 439, 369)(353, 521, 425)(355, 523, 524)(359, 529, 530)(365, 485, 422)(368, 535, 533)(373, 539, 509)(374, 541, 537)(375, 542, 543)(376, 544, 502)(379, 546, 547)(384, 551, 548)(385, 550, 552)(387, 459, 554)(389, 555, 556)(390, 557, 518)(391, 558, 560)(396, 527, 480)(402, 563, 564)(404, 525, 534)(407, 565, 566)(408, 567, 481)(409, 437, 436)(415, 538, 469)(416, 569, 570)(419, 490, 430)(423, 572, 573)(427, 568, 468)(429, 575, 574)(434, 531, 576)(438, 580, 536)(443, 545, 581)(444, 528, 511)(445, 583, 532)(449, 579, 464)(453, 561, 578)(461, 540, 586)(463, 497, 559)(466, 587, 526)(467, 588, 553)(492, 549, 500)(494, 593, 594)(499, 592, 595)(507, 596, 590)(510, 597, 598)(515, 577, 562)(516, 589, 582)(517, 571, 522)(519, 585, 584)(591, 599, 600)(601, 603, 609, 605)(602, 606, 616, 607)(604, 611, 627, 612)(608, 620, 641, 621)(610, 624, 649, 625)(613, 630, 659, 631)(614, 632, 633, 615)(617, 636, 672, 637)(618, 638, 675, 639)(619, 640, 652, 626)(622, 644, 686, 645)(623, 646, 690, 647)(628, 655, 706, 656)(629, 657, 709, 658)(634, 667, 726, 668)(635, 669, 730, 670)(642, 683, 752, 684)(643, 685, 692, 648)(650, 695, 775, 696)(651, 697, 777, 698)(653, 701, 784, 702)(654, 703, 788, 704)(660, 715, 809, 716)(661, 717, 812, 718)(662, 719, 720, 663)(664, 721, 820, 722)(665, 723, 823, 724)(666, 725, 732, 671)(673, 735, 845, 736)(674, 737, 847, 738)(676, 741, 856, 742)(677, 743, 859, 744)(678, 745, 746, 679)(680, 747, 866, 748)(681, 712, 803, 749)(682, 750, 872, 751)(687, 760, 887, 761)(688, 762, 763, 689)(691, 766, 899, 767)(693, 770, 904, 771)(694, 772, 908, 773)(699, 781, 921, 782)(700, 783, 790, 705)(707, 793, 942, 794)(708, 795, 944, 796)(710, 799, 953, 800)(711, 801, 955, 802)(713, 804, 959, 805)(714, 806, 963, 807)(727, 830, 996, 831)(728, 832, 833, 729)(731, 836, 1004, 837)(733, 840, 1009, 841)(734, 842, 915, 843)(739, 851, 1023, 852)(740, 853, 1025, 854)(753, 876, 834, 877)(754, 878, 1053, 879)(755, 880, 881, 756)(757, 882, 1059, 883)(758, 780, 920, 884)(759, 885, 1061, 886)(764, 895, 868, 896)(765, 897, 965, 808)(768, 901, 1075, 902)(769, 903, 861, 774)(776, 912, 1085, 913)(778, 916, 1092, 917)(779, 918, 1094, 919)(785, 928, 1102, 929)(786, 930, 931, 787)(789, 934, 1109, 935)(791, 938, 1111, 939)(792, 940, 1018, 941)(797, 948, 1119, 949)(798, 950, 967, 951)(810, 849, 1021, 968)(811, 969, 1136, 970)(813, 973, 1140, 974)(814, 937, 975, 815)(816, 976, 1145, 977)(817, 978, 1088, 979)(818, 980, 981, 819)(821, 889, 1065, 984)(822, 985, 932, 986)(824, 987, 1153, 988)(825, 989, 990, 826)(827, 991, 1159, 992)(828, 850, 1022, 993)(829, 994, 1161, 995)(835, 1002, 1027, 855)(838, 1006, 900, 1007)(839, 1008, 957, 844)(846, 1015, 1168, 1016)(848, 1019, 1058, 1020)(857, 946, 909, 1029)(858, 964, 1132, 1030)(860, 1033, 1178, 1034)(862, 1035, 1179, 1036)(863, 1037, 1170, 1038)(864, 1039, 1040, 865)(867, 998, 905, 1043)(869, 1044, 1182, 1045)(870, 962, 961, 871)(873, 1048, 1010, 1049)(874, 1005, 1110, 936)(875, 925, 1100, 1050)(888, 1063, 1046, 1064)(890, 1024, 1066, 891)(892, 1067, 1101, 927)(893, 926, 947, 1068)(894, 1069, 1055, 898)(906, 1080, 1081, 907)(910, 1032, 1177, 1083)(911, 1013, 1124, 1084)(914, 1089, 1172, 1090)(922, 1097, 1186, 1098)(923, 1099, 1093, 924)(933, 1107, 1095, 952)(943, 1115, 1096, 1116)(945, 1117, 1158, 1118)(954, 1026, 1147, 1122)(956, 1125, 1188, 1126)(958, 1127, 1151, 1128)(960, 1131, 1105, 1104)(966, 1133, 1197, 1134)(971, 1137, 1184, 1056)(972, 1138, 1014, 1114)(982, 1148, 997, 1054)(983, 1149, 1180, 1150)(999, 1120, 1141, 1000)(1001, 1162, 1155, 1003)(1011, 1144, 1143, 1012)(1017, 1057, 1185, 1171)(1028, 1174, 1076, 1139)(1031, 1176, 1130, 1156)(1041, 1181, 1103, 1154)(1042, 1060, 1183, 1070)(1047, 1160, 1146, 1051)(1052, 1087, 1073, 1163)(1062, 1079, 1113, 1112)(1071, 1189, 1190, 1072)(1074, 1121, 1194, 1165)(1077, 1191, 1135, 1078)(1082, 1157, 1129, 1091)(1086, 1192, 1108, 1106)(1123, 1187, 1173, 1195)(1142, 1198, 1200, 1193)(1152, 1169, 1164, 1196)(1166, 1199, 1175, 1167)
	L = (1, 601)(2, 602)(3, 603)(4, 604)(5, 605)(6, 606)(7, 607)(8, 608)(9, 609)(10, 610)(11, 611)(12, 612)(13, 613)(14, 614)(15, 615)(16, 616)(17, 617)(18, 618)(19, 619)(20, 620)(21, 621)(22, 622)(23, 623)(24, 624)(25, 625)(26, 626)(27, 627)(28, 628)(29, 629)(30, 630)(31, 631)(32, 632)(33, 633)(34, 634)(35, 635)(36, 636)(37, 637)(38, 638)(39, 639)(40, 640)(41, 641)(42, 642)(43, 643)(44, 644)(45, 645)(46, 646)(47, 647)(48, 648)(49, 649)(50, 650)(51, 651)(52, 652)(53, 653)(54, 654)(55, 655)(56, 656)(57, 657)(58, 658)(59, 659)(60, 660)(61, 661)(62, 662)(63, 663)(64, 664)(65, 665)(66, 666)(67, 667)(68, 668)(69, 669)(70, 670)(71, 671)(72, 672)(73, 673)(74, 674)(75, 675)(76, 676)(77, 677)(78, 678)(79, 679)(80, 680)(81, 681)(82, 682)(83, 683)(84, 684)(85, 685)(86, 686)(87, 687)(88, 688)(89, 689)(90, 690)(91, 691)(92, 692)(93, 693)(94, 694)(95, 695)(96, 696)(97, 697)(98, 698)(99, 699)(100, 700)(101, 701)(102, 702)(103, 703)(104, 704)(105, 705)(106, 706)(107, 707)(108, 708)(109, 709)(110, 710)(111, 711)(112, 712)(113, 713)(114, 714)(115, 715)(116, 716)(117, 717)(118, 718)(119, 719)(120, 720)(121, 721)(122, 722)(123, 723)(124, 724)(125, 725)(126, 726)(127, 727)(128, 728)(129, 729)(130, 730)(131, 731)(132, 732)(133, 733)(134, 734)(135, 735)(136, 736)(137, 737)(138, 738)(139, 739)(140, 740)(141, 741)(142, 742)(143, 743)(144, 744)(145, 745)(146, 746)(147, 747)(148, 748)(149, 749)(150, 750)(151, 751)(152, 752)(153, 753)(154, 754)(155, 755)(156, 756)(157, 757)(158, 758)(159, 759)(160, 760)(161, 761)(162, 762)(163, 763)(164, 764)(165, 765)(166, 766)(167, 767)(168, 768)(169, 769)(170, 770)(171, 771)(172, 772)(173, 773)(174, 774)(175, 775)(176, 776)(177, 777)(178, 778)(179, 779)(180, 780)(181, 781)(182, 782)(183, 783)(184, 784)(185, 785)(186, 786)(187, 787)(188, 788)(189, 789)(190, 790)(191, 791)(192, 792)(193, 793)(194, 794)(195, 795)(196, 796)(197, 797)(198, 798)(199, 799)(200, 800)(201, 801)(202, 802)(203, 803)(204, 804)(205, 805)(206, 806)(207, 807)(208, 808)(209, 809)(210, 810)(211, 811)(212, 812)(213, 813)(214, 814)(215, 815)(216, 816)(217, 817)(218, 818)(219, 819)(220, 820)(221, 821)(222, 822)(223, 823)(224, 824)(225, 825)(226, 826)(227, 827)(228, 828)(229, 829)(230, 830)(231, 831)(232, 832)(233, 833)(234, 834)(235, 835)(236, 836)(237, 837)(238, 838)(239, 839)(240, 840)(241, 841)(242, 842)(243, 843)(244, 844)(245, 845)(246, 846)(247, 847)(248, 848)(249, 849)(250, 850)(251, 851)(252, 852)(253, 853)(254, 854)(255, 855)(256, 856)(257, 857)(258, 858)(259, 859)(260, 860)(261, 861)(262, 862)(263, 863)(264, 864)(265, 865)(266, 866)(267, 867)(268, 868)(269, 869)(270, 870)(271, 871)(272, 872)(273, 873)(274, 874)(275, 875)(276, 876)(277, 877)(278, 878)(279, 879)(280, 880)(281, 881)(282, 882)(283, 883)(284, 884)(285, 885)(286, 886)(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, 905)(306, 906)(307, 907)(308, 908)(309, 909)(310, 910)(311, 911)(312, 912)(313, 913)(314, 914)(315, 915)(316, 916)(317, 917)(318, 918)(319, 919)(320, 920)(321, 921)(322, 922)(323, 923)(324, 924)(325, 925)(326, 926)(327, 927)(328, 928)(329, 929)(330, 930)(331, 931)(332, 932)(333, 933)(334, 934)(335, 935)(336, 936)(337, 937)(338, 938)(339, 939)(340, 940)(341, 941)(342, 942)(343, 943)(344, 944)(345, 945)(346, 946)(347, 947)(348, 948)(349, 949)(350, 950)(351, 951)(352, 952)(353, 953)(354, 954)(355, 955)(356, 956)(357, 957)(358, 958)(359, 959)(360, 960)(361, 961)(362, 962)(363, 963)(364, 964)(365, 965)(366, 966)(367, 967)(368, 968)(369, 969)(370, 970)(371, 971)(372, 972)(373, 973)(374, 974)(375, 975)(376, 976)(377, 977)(378, 978)(379, 979)(380, 980)(381, 981)(382, 982)(383, 983)(384, 984)(385, 985)(386, 986)(387, 987)(388, 988)(389, 989)(390, 990)(391, 991)(392, 992)(393, 993)(394, 994)(395, 995)(396, 996)(397, 997)(398, 998)(399, 999)(400, 1000)(401, 1001)(402, 1002)(403, 1003)(404, 1004)(405, 1005)(406, 1006)(407, 1007)(408, 1008)(409, 1009)(410, 1010)(411, 1011)(412, 1012)(413, 1013)(414, 1014)(415, 1015)(416, 1016)(417, 1017)(418, 1018)(419, 1019)(420, 1020)(421, 1021)(422, 1022)(423, 1023)(424, 1024)(425, 1025)(426, 1026)(427, 1027)(428, 1028)(429, 1029)(430, 1030)(431, 1031)(432, 1032)(433, 1033)(434, 1034)(435, 1035)(436, 1036)(437, 1037)(438, 1038)(439, 1039)(440, 1040)(441, 1041)(442, 1042)(443, 1043)(444, 1044)(445, 1045)(446, 1046)(447, 1047)(448, 1048)(449, 1049)(450, 1050)(451, 1051)(452, 1052)(453, 1053)(454, 1054)(455, 1055)(456, 1056)(457, 1057)(458, 1058)(459, 1059)(460, 1060)(461, 1061)(462, 1062)(463, 1063)(464, 1064)(465, 1065)(466, 1066)(467, 1067)(468, 1068)(469, 1069)(470, 1070)(471, 1071)(472, 1072)(473, 1073)(474, 1074)(475, 1075)(476, 1076)(477, 1077)(478, 1078)(479, 1079)(480, 1080)(481, 1081)(482, 1082)(483, 1083)(484, 1084)(485, 1085)(486, 1086)(487, 1087)(488, 1088)(489, 1089)(490, 1090)(491, 1091)(492, 1092)(493, 1093)(494, 1094)(495, 1095)(496, 1096)(497, 1097)(498, 1098)(499, 1099)(500, 1100)(501, 1101)(502, 1102)(503, 1103)(504, 1104)(505, 1105)(506, 1106)(507, 1107)(508, 1108)(509, 1109)(510, 1110)(511, 1111)(512, 1112)(513, 1113)(514, 1114)(515, 1115)(516, 1116)(517, 1117)(518, 1118)(519, 1119)(520, 1120)(521, 1121)(522, 1122)(523, 1123)(524, 1124)(525, 1125)(526, 1126)(527, 1127)(528, 1128)(529, 1129)(530, 1130)(531, 1131)(532, 1132)(533, 1133)(534, 1134)(535, 1135)(536, 1136)(537, 1137)(538, 1138)(539, 1139)(540, 1140)(541, 1141)(542, 1142)(543, 1143)(544, 1144)(545, 1145)(546, 1146)(547, 1147)(548, 1148)(549, 1149)(550, 1150)(551, 1151)(552, 1152)(553, 1153)(554, 1154)(555, 1155)(556, 1156)(557, 1157)(558, 1158)(559, 1159)(560, 1160)(561, 1161)(562, 1162)(563, 1163)(564, 1164)(565, 1165)(566, 1166)(567, 1167)(568, 1168)(569, 1169)(570, 1170)(571, 1171)(572, 1172)(573, 1173)(574, 1174)(575, 1175)(576, 1176)(577, 1177)(578, 1178)(579, 1179)(580, 1180)(581, 1181)(582, 1182)(583, 1183)(584, 1184)(585, 1185)(586, 1186)(587, 1187)(588, 1188)(589, 1189)(590, 1190)(591, 1191)(592, 1192)(593, 1193)(594, 1194)(595, 1195)(596, 1196)(597, 1197)(598, 1198)(599, 1199)(600, 1200)
	local type(s) :: { ( 6^3 ), ( 6^4 ) }
Outer automorphisms :: chiral
Dual of E26.1520
Transitivity :: ET+
Graph:: simple bipartite
	v = 350 e = 600 f = 200
	degree seq :: [ 3^200, 4^150 ]

E26.1520 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 3, 4})
Quotient :: loop
Aut^+ = $<600, 150>$ (small group id <600, 150>)
Aut   = $<600, 150>$ (small group id <600, 150>)
|r| :: 1
Presentation :: [ X1^3, X2^3, (X1 * X2)^4, (X2 * X1^-1)^6, X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2^-1 * X1^-1, (X2^-1, X1^-1)^4, X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2^-1 * X1^-1 * X2 * X1^-1 * X2 * X1 * X2, (X1, X2^-1)^4, X1^-1 * X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1^-1 * X2 * X1^-1 * X2^-1 * X1 * X2^-1, (X2 * X1 * X2^-1 * X1 * X2^-1 * X1^-1)^3 ]
Map:: polyhedral non-degenerate
	R = (1, 601, 2, 602, 4, 604)(3, 603, 8, 608, 9, 609)(5, 605, 12, 612, 13, 613)(6, 606, 14, 614, 15, 615)(7, 607, 16, 616, 17, 617)(10, 610, 22, 622, 23, 623)(11, 611, 24, 624, 25, 625)(18, 618, 38, 638, 39, 639)(19, 619, 40, 640, 41, 641)(20, 620, 42, 642, 43, 643)(21, 621, 44, 644, 45, 645)(26, 626, 53, 653, 54, 654)(27, 627, 55, 655, 56, 656)(28, 628, 57, 657, 58, 658)(29, 629, 59, 659, 30, 630)(31, 631, 60, 660, 61, 661)(32, 632, 62, 662, 63, 663)(33, 633, 64, 664, 65, 665)(34, 634, 66, 666, 67, 667)(35, 635, 68, 668, 69, 669)(36, 636, 70, 670, 71, 671)(37, 637, 72, 672, 46, 646)(47, 647, 86, 686, 87, 687)(48, 648, 88, 688, 89, 689)(49, 649, 90, 690, 91, 691)(50, 650, 92, 692, 93, 693)(51, 651, 94, 694, 95, 695)(52, 652, 96, 696, 97, 697)(73, 673, 133, 733, 134, 734)(74, 674, 135, 735, 136, 736)(75, 675, 137, 737, 138, 738)(76, 676, 139, 739, 140, 740)(77, 677, 141, 741, 142, 742)(78, 678, 143, 743, 79, 679)(80, 680, 144, 744, 145, 745)(81, 681, 146, 746, 124, 724)(82, 682, 147, 747, 148, 748)(83, 683, 149, 749, 150, 750)(84, 684, 151, 751, 152, 752)(85, 685, 153, 753, 154, 754)(98, 698, 176, 776, 177, 777)(99, 699, 178, 778, 179, 779)(100, 700, 180, 780, 181, 781)(101, 701, 161, 761, 182, 782)(102, 702, 183, 783, 184, 784)(103, 703, 185, 785, 104, 704)(105, 705, 186, 786, 187, 787)(106, 706, 188, 788, 189, 789)(107, 707, 190, 790, 191, 791)(108, 708, 192, 792, 193, 793)(109, 709, 194, 794, 195, 795)(110, 710, 196, 796, 197, 797)(111, 711, 198, 798, 199, 799)(112, 712, 200, 800, 201, 801)(113, 713, 202, 802, 114, 714)(115, 715, 203, 803, 204, 804)(116, 716, 205, 805, 169, 769)(117, 717, 206, 806, 207, 807)(118, 718, 208, 808, 209, 809)(119, 719, 210, 810, 211, 811)(120, 720, 212, 812, 213, 813)(121, 721, 214, 814, 215, 815)(122, 722, 216, 816, 217, 817)(123, 723, 218, 818, 219, 819)(125, 725, 220, 820, 221, 821)(126, 726, 222, 822, 127, 727)(128, 728, 223, 823, 224, 824)(129, 729, 225, 825, 226, 826)(130, 730, 227, 827, 228, 828)(131, 731, 229, 829, 230, 830)(132, 732, 231, 831, 232, 832)(155, 755, 270, 870, 271, 871)(156, 756, 272, 872, 273, 873)(157, 757, 274, 874, 275, 875)(158, 758, 276, 876, 159, 759)(160, 760, 277, 877, 278, 878)(162, 762, 279, 879, 280, 880)(163, 763, 281, 881, 282, 882)(164, 764, 283, 883, 284, 884)(165, 765, 285, 885, 286, 886)(166, 766, 287, 887, 288, 888)(167, 767, 289, 889, 290, 890)(168, 768, 291, 891, 292, 892)(170, 770, 293, 893, 294, 894)(171, 771, 295, 895, 172, 772)(173, 773, 296, 896, 297, 897)(174, 774, 298, 898, 299, 899)(175, 775, 300, 900, 233, 833)(234, 834, 391, 991, 392, 992)(235, 835, 393, 993, 263, 863)(236, 836, 394, 994, 363, 963)(237, 837, 362, 962, 361, 961)(238, 838, 395, 995, 396, 996)(239, 839, 381, 981, 380, 980)(240, 840, 397, 997, 398, 998)(241, 841, 399, 999, 400, 1000)(242, 842, 401, 1001, 402, 1002)(243, 843, 403, 1003, 404, 1004)(244, 844, 405, 1005, 245, 845)(246, 846, 406, 1006, 353, 953)(247, 847, 407, 1007, 408, 1008)(248, 848, 409, 1009, 410, 1010)(249, 849, 411, 1011, 343, 943)(250, 850, 342, 942, 412, 1012)(251, 851, 413, 1013, 414, 1014)(252, 852, 415, 1015, 416, 1016)(253, 853, 417, 1017, 418, 1018)(254, 854, 419, 1019, 255, 855)(256, 856, 420, 1020, 371, 971)(257, 857, 370, 970, 421, 1021)(258, 858, 422, 1022, 423, 1023)(259, 859, 424, 1024, 425, 1025)(260, 860, 426, 1026, 427, 1027)(261, 861, 428, 1028, 429, 1029)(262, 862, 430, 1030, 431, 1031)(264, 864, 337, 937, 336, 936)(265, 865, 432, 1032, 266, 866)(267, 867, 433, 1033, 434, 1034)(268, 868, 435, 1035, 436, 1036)(269, 869, 388, 988, 301, 901)(302, 902, 387, 987, 478, 1078)(303, 903, 479, 1079, 330, 930)(304, 904, 480, 1080, 481, 1081)(305, 905, 482, 1082, 379, 979)(306, 906, 483, 1083, 484, 1084)(307, 907, 485, 1085, 352, 952)(308, 908, 351, 951, 486, 1086)(309, 909, 487, 1087, 449, 1049)(310, 910, 448, 1048, 488, 1088)(311, 911, 489, 1089, 312, 912)(313, 913, 490, 1090, 360, 960)(314, 914, 359, 959, 491, 1091)(315, 915, 492, 1092, 493, 1093)(316, 916, 494, 1094, 495, 1095)(317, 917, 477, 1077, 496, 1096)(318, 918, 497, 1097, 498, 1098)(319, 919, 339, 939, 499, 1099)(320, 920, 464, 1064, 500, 1100)(321, 921, 390, 990, 322, 922)(323, 923, 501, 1101, 502, 1102)(324, 924, 503, 1103, 504, 1104)(325, 925, 505, 1105, 376, 976)(326, 926, 506, 1106, 507, 1107)(327, 927, 508, 1108, 355, 955)(328, 928, 509, 1109, 462, 1062)(329, 929, 461, 1061, 460, 1060)(331, 931, 474, 1074, 473, 1073)(332, 932, 510, 1110, 511, 1111)(333, 933, 512, 1112, 513, 1113)(334, 934, 514, 1114, 515, 1115)(335, 935, 516, 1116, 517, 1117)(338, 938, 518, 1118, 453, 1053)(340, 940, 519, 1119, 520, 1120)(341, 941, 521, 1121, 445, 1045)(344, 944, 522, 1122, 523, 1123)(345, 945, 524, 1124, 525, 1125)(346, 946, 526, 1126, 347, 947)(348, 948, 527, 1127, 467, 1067)(349, 949, 466, 1066, 528, 1128)(350, 950, 529, 1129, 530, 1130)(354, 954, 531, 1131, 532, 1132)(356, 956, 442, 1042, 441, 1041)(357, 957, 533, 1133, 358, 958)(364, 964, 534, 1134, 389, 989)(365, 965, 535, 1135, 536, 1136)(366, 966, 537, 1137, 472, 1072)(367, 967, 538, 1138, 539, 1139)(368, 968, 540, 1140, 452, 1052)(369, 969, 451, 1051, 541, 1141)(372, 972, 542, 1142, 459, 1059)(373, 973, 458, 1058, 543, 1143)(374, 974, 544, 1144, 545, 1145)(375, 975, 546, 1146, 547, 1147)(377, 977, 548, 1148, 549, 1149)(378, 978, 443, 1043, 550, 1150)(382, 982, 551, 1151, 552, 1152)(383, 983, 553, 1153, 554, 1154)(384, 984, 555, 1155, 470, 1070)(385, 985, 556, 1156, 557, 1157)(386, 986, 558, 1158, 455, 1055)(437, 1037, 577, 1177, 566, 1166)(438, 1038, 576, 1176, 578, 1178)(439, 1039, 579, 1179, 580, 1180)(440, 1040, 572, 1172, 565, 1165)(444, 1044, 581, 1181, 567, 1167)(446, 1046, 582, 1182, 583, 1183)(447, 1047, 561, 1161, 575, 1175)(450, 1050, 568, 1168, 584, 1184)(454, 1054, 560, 1160, 559, 1159)(456, 1056, 585, 1185, 457, 1057)(463, 1063, 586, 1186, 587, 1187)(465, 1065, 588, 1188, 589, 1189)(468, 1068, 564, 1164, 590, 1190)(469, 1069, 591, 1191, 592, 1192)(471, 1071, 593, 1193, 594, 1194)(475, 1075, 595, 1195, 573, 1173)(476, 1076, 596, 1196, 571, 1171)(562, 1162, 600, 1200, 599, 1199)(563, 1163, 570, 1170, 569, 1169)(574, 1174, 598, 1198, 597, 1197)
	L = (1, 603)(2, 606)(3, 605)(4, 610)(5, 601)(6, 607)(7, 602)(8, 618)(9, 620)(10, 611)(11, 604)(12, 626)(13, 628)(14, 630)(15, 632)(16, 634)(17, 636)(18, 619)(19, 608)(20, 621)(21, 609)(22, 646)(23, 648)(24, 650)(25, 652)(26, 627)(27, 612)(28, 629)(29, 613)(30, 631)(31, 614)(32, 633)(33, 615)(34, 635)(35, 616)(36, 637)(37, 617)(38, 625)(39, 673)(40, 675)(41, 677)(42, 679)(43, 681)(44, 683)(45, 685)(46, 647)(47, 622)(48, 649)(49, 623)(50, 651)(51, 624)(52, 638)(53, 645)(54, 698)(55, 700)(56, 702)(57, 704)(58, 706)(59, 708)(60, 710)(61, 712)(62, 714)(63, 716)(64, 718)(65, 720)(66, 665)(67, 721)(68, 723)(69, 725)(70, 727)(71, 729)(72, 731)(73, 674)(74, 639)(75, 676)(76, 640)(77, 678)(78, 641)(79, 680)(80, 642)(81, 682)(82, 643)(83, 684)(84, 644)(85, 653)(86, 755)(87, 757)(88, 759)(89, 761)(90, 763)(91, 765)(92, 691)(93, 766)(94, 768)(95, 770)(96, 772)(97, 774)(98, 699)(99, 654)(100, 701)(101, 655)(102, 703)(103, 656)(104, 705)(105, 657)(106, 707)(107, 658)(108, 709)(109, 659)(110, 711)(111, 660)(112, 713)(113, 661)(114, 715)(115, 662)(116, 717)(117, 663)(118, 719)(119, 664)(120, 666)(121, 722)(122, 667)(123, 724)(124, 668)(125, 726)(126, 669)(127, 728)(128, 670)(129, 730)(130, 671)(131, 732)(132, 672)(133, 833)(134, 835)(135, 837)(136, 839)(137, 736)(138, 840)(139, 842)(140, 843)(141, 845)(142, 847)(143, 849)(144, 851)(145, 853)(146, 855)(147, 857)(148, 859)(149, 748)(150, 860)(151, 862)(152, 864)(153, 866)(154, 868)(155, 756)(156, 686)(157, 758)(158, 687)(159, 760)(160, 688)(161, 762)(162, 689)(163, 764)(164, 690)(165, 692)(166, 767)(167, 693)(168, 769)(169, 694)(170, 771)(171, 695)(172, 773)(173, 696)(174, 775)(175, 697)(176, 901)(177, 903)(178, 905)(179, 907)(180, 779)(181, 908)(182, 910)(183, 912)(184, 914)(185, 916)(186, 918)(187, 920)(188, 922)(189, 739)(190, 924)(191, 926)(192, 791)(193, 927)(194, 929)(195, 931)(196, 795)(197, 932)(198, 934)(199, 935)(200, 937)(201, 939)(202, 941)(203, 943)(204, 945)(205, 947)(206, 949)(207, 951)(208, 807)(209, 952)(210, 954)(211, 956)(212, 958)(213, 960)(214, 962)(215, 964)(216, 966)(217, 968)(218, 817)(219, 969)(220, 971)(221, 973)(222, 975)(223, 977)(224, 979)(225, 981)(226, 798)(227, 983)(228, 985)(229, 828)(230, 986)(231, 988)(232, 990)(233, 834)(234, 733)(235, 836)(236, 734)(237, 838)(238, 735)(239, 737)(240, 841)(241, 738)(242, 789)(243, 844)(244, 740)(245, 846)(246, 741)(247, 848)(248, 742)(249, 850)(250, 743)(251, 852)(252, 744)(253, 854)(254, 745)(255, 856)(256, 746)(257, 858)(258, 747)(259, 749)(260, 861)(261, 750)(262, 863)(263, 751)(264, 865)(265, 752)(266, 867)(267, 753)(268, 869)(269, 754)(270, 832)(271, 1037)(272, 1039)(273, 1040)(274, 1042)(275, 1043)(276, 1013)(277, 1045)(278, 1047)(279, 1049)(280, 1051)(281, 880)(282, 1052)(283, 1054)(284, 1005)(285, 1057)(286, 1059)(287, 1061)(288, 995)(289, 1064)(290, 1026)(291, 890)(292, 1025)(293, 1067)(294, 1034)(295, 1069)(296, 1071)(297, 1072)(298, 1074)(299, 872)(300, 1076)(301, 902)(302, 776)(303, 904)(304, 777)(305, 906)(306, 778)(307, 780)(308, 909)(309, 781)(310, 911)(311, 782)(312, 913)(313, 783)(314, 915)(315, 784)(316, 917)(317, 785)(318, 919)(319, 786)(320, 921)(321, 787)(322, 923)(323, 788)(324, 925)(325, 790)(326, 792)(327, 928)(328, 793)(329, 930)(330, 794)(331, 796)(332, 933)(333, 797)(334, 826)(335, 936)(336, 799)(337, 938)(338, 800)(339, 940)(340, 801)(341, 942)(342, 802)(343, 944)(344, 803)(345, 946)(346, 804)(347, 948)(348, 805)(349, 950)(350, 806)(351, 808)(352, 953)(353, 809)(354, 955)(355, 810)(356, 957)(357, 811)(358, 959)(359, 812)(360, 961)(361, 813)(362, 963)(363, 814)(364, 965)(365, 815)(366, 967)(367, 816)(368, 818)(369, 970)(370, 819)(371, 972)(372, 820)(373, 974)(374, 821)(375, 976)(376, 822)(377, 978)(378, 823)(379, 980)(380, 824)(381, 982)(382, 825)(383, 984)(384, 827)(385, 829)(386, 987)(387, 830)(388, 989)(389, 831)(390, 870)(391, 1095)(392, 1125)(393, 1160)(394, 1161)(395, 1063)(396, 1163)(397, 1082)(398, 1121)(399, 1164)(400, 1165)(401, 1000)(402, 1141)(403, 1102)(404, 1114)(405, 1056)(406, 1158)(407, 1085)(408, 896)(409, 1146)(410, 1166)(411, 1010)(412, 876)(413, 1012)(414, 1167)(415, 1135)(416, 1168)(417, 1170)(418, 1132)(419, 1097)(420, 1171)(421, 1172)(422, 1174)(423, 1089)(424, 1153)(425, 1066)(426, 891)(427, 1083)(428, 874)(429, 1108)(430, 1029)(431, 1107)(432, 1176)(433, 1143)(434, 1068)(435, 893)(436, 1015)(437, 1038)(438, 871)(439, 899)(440, 1041)(441, 873)(442, 1028)(443, 1044)(444, 875)(445, 1046)(446, 877)(447, 1048)(448, 878)(449, 1050)(450, 879)(451, 881)(452, 1053)(453, 882)(454, 1055)(455, 883)(456, 884)(457, 1058)(458, 885)(459, 1060)(460, 886)(461, 1062)(462, 887)(463, 888)(464, 1065)(465, 889)(466, 892)(467, 1035)(468, 894)(469, 1070)(470, 895)(471, 1008)(472, 1073)(473, 897)(474, 1075)(475, 898)(476, 1077)(477, 900)(478, 1124)(479, 1198)(480, 1142)(481, 997)(482, 1081)(483, 1150)(484, 1189)(485, 1138)(486, 1196)(487, 1116)(488, 1193)(489, 1154)(490, 1122)(491, 1033)(492, 1185)(493, 1181)(494, 1093)(495, 1149)(496, 1019)(497, 1096)(498, 1156)(499, 1140)(500, 1187)(501, 1134)(502, 1128)(503, 1002)(504, 1184)(505, 1126)(506, 1147)(507, 1175)(508, 1030)(509, 1017)(510, 1137)(511, 1014)(512, 1092)(513, 1004)(514, 1113)(515, 1024)(516, 1152)(517, 1179)(518, 993)(519, 1191)(520, 998)(521, 1120)(522, 1186)(523, 1022)(524, 1197)(525, 1159)(526, 1148)(527, 1104)(528, 1003)(529, 1200)(530, 1020)(531, 1006)(532, 1157)(533, 999)(534, 1199)(535, 1036)(536, 1110)(537, 1136)(538, 1007)(539, 1084)(540, 1188)(541, 1103)(542, 1182)(543, 1091)(544, 1032)(545, 1009)(546, 1145)(547, 1194)(548, 1105)(549, 991)(550, 1027)(551, 996)(552, 1087)(553, 1115)(554, 1023)(555, 1088)(556, 1192)(557, 1018)(558, 1131)(559, 992)(560, 1118)(561, 1162)(562, 994)(563, 1151)(564, 1133)(565, 1001)(566, 1011)(567, 1111)(568, 1169)(569, 1016)(570, 1109)(571, 1130)(572, 1173)(573, 1021)(574, 1123)(575, 1031)(576, 1144)(577, 1100)(578, 1117)(579, 1178)(580, 1086)(581, 1094)(582, 1080)(583, 1129)(584, 1127)(585, 1112)(586, 1090)(587, 1177)(588, 1099)(589, 1139)(590, 1119)(591, 1190)(592, 1098)(593, 1155)(594, 1106)(595, 1079)(596, 1180)(597, 1078)(598, 1195)(599, 1101)(600, 1183)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: chiral
Dual of E26.1519
Transitivity :: ET+ VT+
Graph:: simple
	v = 200 e = 600 f = 350
	degree seq :: [ 6^200 ]

E26.1521 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 3, 4})
Quotient :: loop
Aut^+ = $<600, 150>$ (small group id <600, 150>)
Aut   = $<600, 150>$ (small group id <600, 150>)
|r| :: 1
Presentation :: [ X1^3, X2^3, (X2^-1 * X1^-1)^4, (X1 * X2^-1)^6, X2 * X1^-1 * X2^-1 * X1^-1 * X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1 * X2^-1 * X1 * X2^-1 * X1^-1 * X2 * X1^-1, X1^-1 * X2 * X1 * X2^-1 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2^-1, (X2, X1^-1)^4, X1 * X2 * X1^-1 * X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1, (X2 * X1 * X2^-1 * X1 * X2^-1 * X1^-1)^3 ]
Map:: polyhedral non-degenerate
	R = (1, 601, 2, 602, 4, 604)(3, 603, 8, 608, 9, 609)(5, 605, 12, 612, 13, 613)(6, 606, 14, 614, 15, 615)(7, 607, 16, 616, 17, 617)(10, 610, 22, 622, 23, 623)(11, 611, 24, 624, 25, 625)(18, 618, 38, 638, 39, 639)(19, 619, 40, 640, 41, 641)(20, 620, 42, 642, 43, 643)(21, 621, 44, 644, 45, 645)(26, 626, 53, 653, 54, 654)(27, 627, 55, 655, 56, 656)(28, 628, 57, 657, 58, 658)(29, 629, 59, 659, 30, 630)(31, 631, 60, 660, 61, 661)(32, 632, 62, 662, 63, 663)(33, 633, 64, 664, 65, 665)(34, 634, 66, 666, 67, 667)(35, 635, 68, 668, 69, 669)(36, 636, 70, 670, 71, 671)(37, 637, 72, 672, 46, 646)(47, 647, 86, 686, 87, 687)(48, 648, 88, 688, 89, 689)(49, 649, 90, 690, 91, 691)(50, 650, 92, 692, 93, 693)(51, 651, 94, 694, 95, 695)(52, 652, 96, 696, 97, 697)(73, 673, 133, 733, 134, 734)(74, 674, 135, 735, 136, 736)(75, 675, 137, 737, 138, 738)(76, 676, 139, 739, 140, 740)(77, 677, 141, 741, 142, 742)(78, 678, 143, 743, 79, 679)(80, 680, 144, 744, 145, 745)(81, 681, 146, 746, 124, 724)(82, 682, 147, 747, 148, 748)(83, 683, 149, 749, 150, 750)(84, 684, 151, 751, 152, 752)(85, 685, 153, 753, 154, 754)(98, 698, 176, 776, 177, 777)(99, 699, 178, 778, 179, 779)(100, 700, 180, 780, 181, 781)(101, 701, 161, 761, 182, 782)(102, 702, 183, 783, 184, 784)(103, 703, 185, 785, 104, 704)(105, 705, 186, 786, 187, 787)(106, 706, 188, 788, 189, 789)(107, 707, 190, 790, 191, 791)(108, 708, 192, 792, 193, 793)(109, 709, 194, 794, 195, 795)(110, 710, 196, 796, 197, 797)(111, 711, 198, 798, 199, 799)(112, 712, 200, 800, 201, 801)(113, 713, 202, 802, 114, 714)(115, 715, 203, 803, 204, 804)(116, 716, 205, 805, 169, 769)(117, 717, 206, 806, 207, 807)(118, 718, 208, 808, 209, 809)(119, 719, 210, 810, 211, 811)(120, 720, 212, 812, 213, 813)(121, 721, 214, 814, 215, 815)(122, 722, 216, 816, 217, 817)(123, 723, 218, 818, 219, 819)(125, 725, 220, 820, 221, 821)(126, 726, 222, 822, 127, 727)(128, 728, 223, 823, 224, 824)(129, 729, 225, 825, 226, 826)(130, 730, 227, 827, 228, 828)(131, 731, 229, 829, 230, 830)(132, 732, 231, 831, 232, 832)(155, 755, 270, 870, 271, 871)(156, 756, 272, 872, 273, 873)(157, 757, 274, 874, 275, 875)(158, 758, 276, 876, 159, 759)(160, 760, 277, 877, 278, 878)(162, 762, 279, 879, 280, 880)(163, 763, 281, 881, 282, 882)(164, 764, 283, 883, 284, 884)(165, 765, 285, 885, 286, 886)(166, 766, 287, 887, 288, 888)(167, 767, 289, 889, 290, 890)(168, 768, 291, 891, 292, 892)(170, 770, 293, 893, 294, 894)(171, 771, 295, 895, 172, 772)(173, 773, 296, 896, 297, 897)(174, 774, 298, 898, 299, 899)(175, 775, 300, 900, 233, 833)(234, 834, 391, 991, 392, 992)(235, 835, 393, 993, 263, 863)(236, 836, 394, 994, 374, 974)(237, 837, 373, 973, 395, 995)(238, 838, 396, 996, 359, 959)(239, 839, 397, 997, 398, 998)(240, 840, 337, 937, 336, 936)(241, 841, 399, 999, 400, 1000)(242, 842, 401, 1001, 402, 1002)(243, 843, 403, 1003, 404, 1004)(244, 844, 405, 1005, 245, 845)(246, 846, 406, 1006, 353, 953)(247, 847, 407, 1007, 408, 1008)(248, 848, 409, 1009, 410, 1010)(249, 849, 411, 1011, 383, 983)(250, 850, 334, 934, 412, 1012)(251, 851, 413, 1013, 414, 1014)(252, 852, 415, 1015, 416, 1016)(253, 853, 417, 1017, 418, 1018)(254, 854, 419, 1019, 255, 855)(256, 856, 420, 1020, 371, 971)(257, 857, 370, 970, 421, 1021)(258, 858, 422, 1022, 423, 1023)(259, 859, 347, 947, 346, 946)(260, 860, 424, 1024, 425, 1025)(261, 861, 426, 1026, 427, 1027)(262, 862, 428, 1028, 429, 1029)(264, 864, 430, 1030, 431, 1031)(265, 865, 432, 1032, 266, 866)(267, 867, 389, 989, 364, 964)(268, 868, 363, 963, 433, 1033)(269, 869, 434, 1034, 301, 901)(302, 902, 479, 1079, 457, 1057)(303, 903, 456, 1056, 330, 930)(304, 904, 480, 1080, 481, 1081)(305, 905, 482, 1082, 379, 979)(306, 906, 483, 1083, 484, 1084)(307, 907, 356, 956, 485, 1085)(308, 908, 475, 1075, 474, 1074)(309, 909, 486, 1086, 447, 1047)(310, 910, 446, 1046, 351, 951)(311, 911, 487, 1087, 312, 912)(313, 913, 488, 1088, 489, 1089)(314, 914, 490, 1090, 388, 988)(315, 915, 387, 987, 491, 1091)(316, 916, 492, 1092, 493, 1093)(317, 917, 472, 1072, 494, 1094)(318, 918, 495, 1095, 376, 976)(319, 919, 339, 939, 496, 1096)(320, 920, 462, 1062, 497, 1097)(321, 921, 369, 969, 322, 922)(323, 923, 498, 1098, 499, 1099)(324, 924, 442, 1042, 500, 1100)(325, 925, 501, 1101, 502, 1102)(326, 926, 503, 1103, 504, 1104)(327, 927, 505, 1105, 355, 955)(328, 928, 506, 1106, 469, 1069)(329, 929, 468, 1068, 507, 1107)(331, 931, 508, 1108, 509, 1109)(332, 932, 439, 1039, 438, 1038)(333, 933, 510, 1110, 511, 1111)(335, 935, 512, 1112, 513, 1113)(338, 938, 514, 1114, 450, 1050)(340, 940, 515, 1115, 516, 1116)(341, 941, 517, 1117, 477, 1077)(342, 942, 436, 1036, 518, 1118)(343, 943, 519, 1119, 520, 1120)(344, 944, 521, 1121, 522, 1122)(345, 945, 523, 1123, 524, 1124)(348, 948, 525, 1125, 466, 1066)(349, 949, 465, 1065, 526, 1126)(350, 950, 527, 1127, 528, 1128)(352, 952, 529, 1129, 530, 1130)(354, 954, 531, 1131, 532, 1132)(357, 957, 533, 1133, 358, 958)(360, 960, 460, 1060, 534, 1134)(361, 961, 535, 1135, 362, 962)(365, 965, 536, 1136, 537, 1137)(366, 966, 538, 1138, 473, 1073)(367, 967, 539, 1139, 540, 1140)(368, 968, 453, 1053, 541, 1141)(372, 972, 542, 1142, 543, 1143)(375, 975, 544, 1144, 545, 1145)(377, 977, 546, 1146, 471, 1071)(378, 978, 440, 1040, 547, 1147)(380, 980, 464, 1064, 381, 981)(382, 982, 548, 1148, 549, 1149)(384, 984, 550, 1150, 551, 1151)(385, 985, 552, 1152, 553, 1153)(386, 986, 554, 1154, 452, 1052)(390, 990, 555, 1155, 556, 1156)(435, 1035, 579, 1179, 580, 1180)(437, 1037, 571, 1171, 581, 1181)(441, 1041, 566, 1166, 582, 1182)(443, 1043, 563, 1163, 574, 1174)(444, 1044, 583, 1183, 584, 1184)(445, 1045, 559, 1159, 576, 1176)(448, 1048, 585, 1185, 570, 1170)(449, 1049, 569, 1169, 586, 1186)(451, 1051, 561, 1161, 575, 1175)(454, 1054, 587, 1187, 455, 1055)(458, 1058, 564, 1164, 459, 1059)(461, 1061, 588, 1188, 589, 1189)(463, 1063, 590, 1190, 578, 1178)(467, 1067, 562, 1162, 591, 1191)(470, 1070, 568, 1168, 567, 1167)(476, 1076, 592, 1192, 572, 1172)(478, 1078, 565, 1165, 593, 1193)(557, 1157, 600, 1200, 596, 1196)(558, 1158, 597, 1197, 577, 1177)(560, 1160, 599, 1199, 595, 1195)(573, 1173, 594, 1194, 598, 1198)
	L = (1, 603)(2, 606)(3, 605)(4, 610)(5, 601)(6, 607)(7, 602)(8, 618)(9, 620)(10, 611)(11, 604)(12, 626)(13, 628)(14, 630)(15, 632)(16, 634)(17, 636)(18, 619)(19, 608)(20, 621)(21, 609)(22, 646)(23, 648)(24, 650)(25, 652)(26, 627)(27, 612)(28, 629)(29, 613)(30, 631)(31, 614)(32, 633)(33, 615)(34, 635)(35, 616)(36, 637)(37, 617)(38, 625)(39, 673)(40, 675)(41, 677)(42, 679)(43, 681)(44, 683)(45, 685)(46, 647)(47, 622)(48, 649)(49, 623)(50, 651)(51, 624)(52, 638)(53, 645)(54, 698)(55, 700)(56, 702)(57, 704)(58, 706)(59, 708)(60, 710)(61, 712)(62, 714)(63, 716)(64, 718)(65, 720)(66, 665)(67, 721)(68, 723)(69, 725)(70, 727)(71, 729)(72, 731)(73, 674)(74, 639)(75, 676)(76, 640)(77, 678)(78, 641)(79, 680)(80, 642)(81, 682)(82, 643)(83, 684)(84, 644)(85, 653)(86, 755)(87, 757)(88, 759)(89, 761)(90, 763)(91, 765)(92, 691)(93, 766)(94, 768)(95, 770)(96, 772)(97, 774)(98, 699)(99, 654)(100, 701)(101, 655)(102, 703)(103, 656)(104, 705)(105, 657)(106, 707)(107, 658)(108, 709)(109, 659)(110, 711)(111, 660)(112, 713)(113, 661)(114, 715)(115, 662)(116, 717)(117, 663)(118, 719)(119, 664)(120, 666)(121, 722)(122, 667)(123, 724)(124, 668)(125, 726)(126, 669)(127, 728)(128, 670)(129, 730)(130, 671)(131, 732)(132, 672)(133, 833)(134, 835)(135, 837)(136, 839)(137, 736)(138, 840)(139, 842)(140, 843)(141, 845)(142, 847)(143, 849)(144, 851)(145, 853)(146, 855)(147, 857)(148, 859)(149, 748)(150, 860)(151, 862)(152, 864)(153, 866)(154, 868)(155, 756)(156, 686)(157, 758)(158, 687)(159, 760)(160, 688)(161, 762)(162, 689)(163, 764)(164, 690)(165, 692)(166, 767)(167, 693)(168, 769)(169, 694)(170, 771)(171, 695)(172, 773)(173, 696)(174, 775)(175, 697)(176, 901)(177, 903)(178, 905)(179, 907)(180, 779)(181, 908)(182, 910)(183, 912)(184, 914)(185, 916)(186, 918)(187, 920)(188, 922)(189, 739)(190, 924)(191, 926)(192, 791)(193, 927)(194, 929)(195, 931)(196, 795)(197, 932)(198, 934)(199, 935)(200, 937)(201, 939)(202, 941)(203, 943)(204, 945)(205, 947)(206, 949)(207, 951)(208, 807)(209, 952)(210, 954)(211, 956)(212, 958)(213, 960)(214, 962)(215, 964)(216, 966)(217, 968)(218, 817)(219, 969)(220, 971)(221, 973)(222, 975)(223, 977)(224, 979)(225, 981)(226, 798)(227, 983)(228, 985)(229, 828)(230, 986)(231, 988)(232, 990)(233, 834)(234, 733)(235, 836)(236, 734)(237, 838)(238, 735)(239, 737)(240, 841)(241, 738)(242, 789)(243, 844)(244, 740)(245, 846)(246, 741)(247, 848)(248, 742)(249, 850)(250, 743)(251, 852)(252, 744)(253, 854)(254, 745)(255, 856)(256, 746)(257, 858)(258, 747)(259, 749)(260, 861)(261, 750)(262, 863)(263, 751)(264, 865)(265, 752)(266, 867)(267, 753)(268, 869)(269, 754)(270, 832)(271, 1005)(272, 1036)(273, 1037)(274, 1039)(275, 1040)(276, 1042)(277, 1043)(278, 1045)(279, 1047)(280, 1019)(281, 880)(282, 1049)(283, 1051)(284, 1053)(285, 1055)(286, 1057)(287, 1059)(288, 996)(289, 1062)(290, 1031)(291, 890)(292, 1064)(293, 1066)(294, 1068)(295, 1070)(296, 1072)(297, 1073)(298, 1075)(299, 872)(300, 1077)(301, 902)(302, 776)(303, 904)(304, 777)(305, 906)(306, 778)(307, 780)(308, 909)(309, 781)(310, 911)(311, 782)(312, 913)(313, 783)(314, 915)(315, 784)(316, 917)(317, 785)(318, 919)(319, 786)(320, 921)(321, 787)(322, 923)(323, 788)(324, 925)(325, 790)(326, 792)(327, 928)(328, 793)(329, 930)(330, 794)(331, 796)(332, 933)(333, 797)(334, 826)(335, 936)(336, 799)(337, 938)(338, 800)(339, 940)(340, 801)(341, 942)(342, 802)(343, 944)(344, 803)(345, 946)(346, 804)(347, 948)(348, 805)(349, 950)(350, 806)(351, 808)(352, 953)(353, 809)(354, 955)(355, 810)(356, 957)(357, 811)(358, 959)(359, 812)(360, 961)(361, 813)(362, 963)(363, 814)(364, 965)(365, 815)(366, 967)(367, 816)(368, 818)(369, 970)(370, 819)(371, 972)(372, 820)(373, 974)(374, 821)(375, 976)(376, 822)(377, 978)(378, 823)(379, 980)(380, 824)(381, 982)(382, 825)(383, 984)(384, 827)(385, 829)(386, 987)(387, 830)(388, 989)(389, 831)(390, 870)(391, 1157)(392, 1153)(393, 1103)(394, 1159)(395, 1160)(396, 1061)(397, 1133)(398, 1161)(399, 1136)(400, 1163)(401, 1000)(402, 876)(403, 1099)(404, 1082)(405, 1035)(406, 1156)(407, 1130)(408, 896)(409, 1093)(410, 1164)(411, 1010)(412, 1111)(413, 1012)(414, 1087)(415, 1165)(416, 1166)(417, 1168)(418, 1132)(419, 881)(420, 1170)(421, 1171)(422, 1173)(423, 1174)(424, 1124)(425, 1083)(426, 874)(427, 1109)(428, 1027)(429, 1129)(430, 1177)(431, 891)(432, 1178)(433, 1015)(434, 1117)(435, 871)(436, 899)(437, 1038)(438, 873)(439, 1026)(440, 1041)(441, 875)(442, 1002)(443, 1044)(444, 877)(445, 1046)(446, 878)(447, 1048)(448, 879)(449, 1050)(450, 882)(451, 1052)(452, 883)(453, 1054)(454, 884)(455, 1056)(456, 885)(457, 1058)(458, 886)(459, 1060)(460, 887)(461, 888)(462, 1063)(463, 889)(464, 1065)(465, 892)(466, 1067)(467, 893)(468, 1069)(469, 894)(470, 1071)(471, 895)(472, 1008)(473, 1074)(474, 897)(475, 1076)(476, 898)(477, 1078)(478, 900)(479, 1183)(480, 1142)(481, 1004)(482, 1081)(483, 1147)(484, 997)(485, 1194)(486, 1112)(487, 1128)(488, 1110)(489, 995)(490, 1195)(491, 1123)(492, 1091)(493, 1122)(494, 1146)(495, 1094)(496, 1186)(497, 1189)(498, 1141)(499, 1126)(500, 1182)(501, 1134)(502, 1185)(503, 1158)(504, 992)(505, 1152)(506, 1017)(507, 1199)(508, 1187)(509, 1028)(510, 1188)(511, 1013)(512, 1149)(513, 1138)(514, 998)(515, 1145)(516, 1034)(517, 1116)(518, 1180)(519, 1118)(520, 1020)(521, 1101)(522, 1009)(523, 1092)(524, 1175)(525, 1023)(526, 1003)(527, 1200)(528, 1014)(529, 1176)(530, 1139)(531, 1006)(532, 1169)(533, 1084)(534, 1121)(535, 1100)(536, 1162)(537, 1113)(538, 1137)(539, 1007)(540, 1108)(541, 1196)(542, 1179)(543, 1107)(544, 994)(545, 1184)(546, 1095)(547, 1025)(548, 1030)(549, 1086)(550, 1079)(551, 1022)(552, 1198)(553, 1104)(554, 991)(555, 1032)(556, 1131)(557, 1154)(558, 993)(559, 1144)(560, 1089)(561, 1114)(562, 999)(563, 1001)(564, 1011)(565, 1033)(566, 1167)(567, 1016)(568, 1106)(569, 1018)(570, 1120)(571, 1172)(572, 1021)(573, 1151)(574, 1125)(575, 1024)(576, 1029)(577, 1148)(578, 1155)(579, 1080)(580, 1119)(581, 1097)(582, 1135)(583, 1150)(584, 1115)(585, 1197)(586, 1190)(587, 1140)(588, 1088)(589, 1181)(590, 1096)(591, 1090)(592, 1085)(593, 1127)(594, 1192)(595, 1191)(596, 1098)(597, 1102)(598, 1105)(599, 1143)(600, 1193)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: chiral
Dual of E26.1518
Transitivity :: ET+ VT+
Graph:: simple
	v = 200 e = 600 f = 350
	degree seq :: [ 6^200 ]

E26.1522 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 3, 4})
Quotient :: loop
Aut^+ = $<600, 150>$ (small group id <600, 150>)
Aut   = $<600, 150>$ (small group id <600, 150>)
|r| :: 1
Presentation :: [ X1^3, X2^3, (X1 * X2)^4, (X1 * X2^-1)^6, X1^-1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1^-1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2^-1, X2 * X1 * X2 * X1^-1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1^-1 * X2 * X1^-1 * X2^-1 * X1^-1, (X1^-1, X2^-1)^4, X1 * X2^-1 * X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1^-1 * X2 * X1 * X2^-1 * X1^-1 * X2 * X1^-1 * X2^-1, (X2 * X1 * X2^-1 * X1 * X2^-1 * X1^-1)^3, X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1 * X2^-1 * X1 * X2^-1 * X1^-1 * X2^-1 * X1 * X2^-1 * X1 * X2^-1 * X1^-1 * X2 * X1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 601, 2, 602, 4, 604)(3, 603, 8, 608, 9, 609)(5, 605, 12, 612, 13, 613)(6, 606, 14, 614, 15, 615)(7, 607, 16, 616, 17, 617)(10, 610, 22, 622, 23, 623)(11, 611, 24, 624, 25, 625)(18, 618, 38, 638, 39, 639)(19, 619, 40, 640, 41, 641)(20, 620, 42, 642, 43, 643)(21, 621, 44, 644, 45, 645)(26, 626, 53, 653, 54, 654)(27, 627, 55, 655, 56, 656)(28, 628, 57, 657, 58, 658)(29, 629, 59, 659, 30, 630)(31, 631, 60, 660, 61, 661)(32, 632, 62, 662, 63, 663)(33, 633, 64, 664, 65, 665)(34, 634, 66, 666, 67, 667)(35, 635, 68, 668, 69, 669)(36, 636, 70, 670, 71, 671)(37, 637, 72, 672, 46, 646)(47, 647, 86, 686, 87, 687)(48, 648, 88, 688, 89, 689)(49, 649, 90, 690, 91, 691)(50, 650, 92, 692, 93, 693)(51, 651, 94, 694, 95, 695)(52, 652, 96, 696, 97, 697)(73, 673, 133, 733, 134, 734)(74, 674, 135, 735, 136, 736)(75, 675, 137, 737, 138, 738)(76, 676, 139, 739, 140, 740)(77, 677, 141, 741, 142, 742)(78, 678, 143, 743, 79, 679)(80, 680, 144, 744, 145, 745)(81, 681, 146, 746, 124, 724)(82, 682, 147, 747, 148, 748)(83, 683, 149, 749, 150, 750)(84, 684, 151, 751, 152, 752)(85, 685, 153, 753, 154, 754)(98, 698, 176, 776, 177, 777)(99, 699, 178, 778, 179, 779)(100, 700, 180, 780, 181, 781)(101, 701, 161, 761, 182, 782)(102, 702, 183, 783, 184, 784)(103, 703, 185, 785, 104, 704)(105, 705, 186, 786, 187, 787)(106, 706, 188, 788, 189, 789)(107, 707, 190, 790, 191, 791)(108, 708, 192, 792, 193, 793)(109, 709, 194, 794, 195, 795)(110, 710, 196, 796, 197, 797)(111, 711, 198, 798, 199, 799)(112, 712, 200, 800, 201, 801)(113, 713, 202, 802, 114, 714)(115, 715, 203, 803, 204, 804)(116, 716, 205, 805, 169, 769)(117, 717, 206, 806, 207, 807)(118, 718, 208, 808, 209, 809)(119, 719, 210, 810, 211, 811)(120, 720, 212, 812, 213, 813)(121, 721, 214, 814, 215, 815)(122, 722, 216, 816, 217, 817)(123, 723, 218, 818, 219, 819)(125, 725, 220, 820, 221, 821)(126, 726, 222, 822, 127, 727)(128, 728, 223, 823, 224, 824)(129, 729, 225, 825, 226, 826)(130, 730, 227, 827, 228, 828)(131, 731, 229, 829, 230, 830)(132, 732, 231, 831, 232, 832)(155, 755, 270, 870, 271, 871)(156, 756, 272, 872, 273, 873)(157, 757, 274, 874, 275, 875)(158, 758, 276, 876, 159, 759)(160, 760, 277, 877, 278, 878)(162, 762, 279, 879, 280, 880)(163, 763, 281, 881, 282, 882)(164, 764, 283, 883, 284, 884)(165, 765, 285, 885, 286, 886)(166, 766, 287, 887, 288, 888)(167, 767, 289, 889, 290, 890)(168, 768, 291, 891, 292, 892)(170, 770, 293, 893, 294, 894)(171, 771, 295, 895, 172, 772)(173, 773, 296, 896, 297, 897)(174, 774, 298, 898, 299, 899)(175, 775, 300, 900, 233, 833)(234, 834, 359, 959, 391, 991)(235, 835, 392, 992, 263, 863)(236, 836, 393, 993, 333, 933)(237, 837, 332, 932, 394, 994)(238, 838, 395, 995, 396, 996)(239, 839, 397, 997, 398, 998)(240, 840, 399, 999, 388, 988)(241, 841, 387, 987, 400, 1000)(242, 842, 401, 1001, 402, 1002)(243, 843, 403, 1003, 404, 1004)(244, 844, 405, 1005, 245, 845)(246, 846, 406, 1006, 353, 953)(247, 847, 407, 1007, 408, 1008)(248, 848, 337, 937, 336, 936)(249, 849, 335, 935, 409, 1009)(250, 850, 410, 1010, 411, 1011)(251, 851, 412, 1012, 413, 1013)(252, 852, 414, 1014, 415, 1015)(253, 853, 416, 1016, 417, 1017)(254, 854, 418, 1018, 255, 855)(256, 856, 419, 1019, 371, 971)(257, 857, 370, 970, 420, 1020)(258, 858, 421, 1021, 422, 1022)(259, 859, 423, 1023, 424, 1024)(260, 860, 425, 1025, 426, 1026)(261, 861, 427, 1027, 428, 1028)(262, 862, 429, 1029, 430, 1030)(264, 864, 431, 1031, 432, 1032)(265, 865, 351, 951, 266, 866)(267, 867, 433, 1033, 385, 985)(268, 868, 384, 984, 434, 1034)(269, 869, 435, 1035, 301, 901)(302, 902, 479, 1079, 480, 1080)(303, 903, 481, 1081, 330, 930)(304, 904, 482, 1082, 471, 1071)(305, 905, 470, 1070, 379, 979)(306, 906, 483, 1083, 484, 1084)(307, 907, 343, 943, 485, 1085)(308, 908, 486, 1086, 487, 1087)(309, 909, 488, 1088, 448, 1048)(310, 910, 447, 1047, 489, 1089)(311, 911, 490, 1090, 312, 912)(313, 913, 491, 1091, 492, 1092)(314, 914, 493, 1093, 494, 1094)(315, 915, 475, 1075, 474, 1074)(316, 916, 473, 1073, 366, 966)(317, 917, 365, 965, 495, 1095)(318, 918, 496, 1096, 497, 1097)(319, 919, 339, 939, 498, 1098)(320, 920, 462, 1062, 375, 975)(321, 921, 374, 974, 322, 922)(323, 923, 499, 1099, 500, 1100)(324, 924, 501, 1101, 502, 1102)(325, 925, 503, 1103, 457, 1057)(326, 926, 456, 1056, 504, 1104)(327, 927, 505, 1105, 355, 955)(328, 928, 506, 1106, 437, 1037)(329, 929, 436, 1036, 507, 1107)(331, 931, 508, 1108, 509, 1109)(334, 934, 510, 1110, 511, 1111)(338, 938, 512, 1112, 452, 1052)(340, 940, 441, 1041, 440, 1040)(341, 941, 439, 1039, 513, 1113)(342, 942, 514, 1114, 515, 1115)(344, 944, 516, 1116, 517, 1117)(345, 945, 518, 1118, 519, 1119)(346, 946, 520, 1120, 347, 947)(348, 948, 521, 1121, 466, 1066)(349, 949, 465, 1065, 522, 1122)(350, 950, 523, 1123, 524, 1124)(352, 952, 525, 1125, 526, 1126)(354, 954, 527, 1127, 528, 1128)(356, 956, 529, 1129, 530, 1130)(357, 957, 450, 1050, 358, 958)(360, 960, 478, 1078, 531, 1131)(361, 961, 532, 1132, 362, 962)(363, 963, 533, 1133, 534, 1134)(364, 964, 535, 1135, 389, 989)(367, 967, 536, 1136, 537, 1137)(368, 968, 444, 1044, 538, 1138)(369, 969, 539, 1139, 540, 1140)(372, 972, 541, 1141, 542, 1142)(373, 973, 543, 1143, 544, 1144)(376, 976, 461, 1061, 545, 1145)(377, 977, 546, 1146, 547, 1147)(378, 978, 442, 1042, 548, 1148)(380, 980, 469, 1069, 381, 981)(382, 982, 549, 1149, 550, 1150)(383, 983, 551, 1151, 552, 1152)(386, 986, 553, 1153, 454, 1054)(390, 990, 554, 1154, 555, 1155)(438, 1038, 566, 1166, 565, 1165)(443, 1043, 576, 1176, 577, 1177)(445, 1045, 578, 1178, 579, 1179)(446, 1046, 558, 1158, 572, 1172)(449, 1049, 580, 1180, 556, 1156)(451, 1051, 575, 1175, 581, 1181)(453, 1053, 582, 1182, 567, 1167)(455, 1055, 583, 1183, 571, 1171)(458, 1058, 574, 1174, 459, 1059)(460, 1060, 584, 1184, 585, 1185)(463, 1063, 586, 1186, 563, 1163)(464, 1064, 587, 1187, 588, 1188)(467, 1067, 589, 1189, 562, 1162)(468, 1068, 590, 1190, 570, 1170)(472, 1072, 591, 1191, 592, 1192)(476, 1076, 593, 1193, 568, 1168)(477, 1077, 564, 1164, 594, 1194)(557, 1157, 598, 1198, 573, 1173)(559, 1159, 599, 1199, 595, 1195)(560, 1160, 597, 1197, 561, 1161)(569, 1169, 600, 1200, 596, 1196)
	L = (1, 603)(2, 606)(3, 605)(4, 610)(5, 601)(6, 607)(7, 602)(8, 618)(9, 620)(10, 611)(11, 604)(12, 626)(13, 628)(14, 630)(15, 632)(16, 634)(17, 636)(18, 619)(19, 608)(20, 621)(21, 609)(22, 646)(23, 648)(24, 650)(25, 652)(26, 627)(27, 612)(28, 629)(29, 613)(30, 631)(31, 614)(32, 633)(33, 615)(34, 635)(35, 616)(36, 637)(37, 617)(38, 625)(39, 673)(40, 675)(41, 677)(42, 679)(43, 681)(44, 683)(45, 685)(46, 647)(47, 622)(48, 649)(49, 623)(50, 651)(51, 624)(52, 638)(53, 645)(54, 698)(55, 700)(56, 702)(57, 704)(58, 706)(59, 708)(60, 710)(61, 712)(62, 714)(63, 716)(64, 718)(65, 720)(66, 665)(67, 721)(68, 723)(69, 725)(70, 727)(71, 729)(72, 731)(73, 674)(74, 639)(75, 676)(76, 640)(77, 678)(78, 641)(79, 680)(80, 642)(81, 682)(82, 643)(83, 684)(84, 644)(85, 653)(86, 755)(87, 757)(88, 759)(89, 761)(90, 763)(91, 765)(92, 691)(93, 766)(94, 768)(95, 770)(96, 772)(97, 774)(98, 699)(99, 654)(100, 701)(101, 655)(102, 703)(103, 656)(104, 705)(105, 657)(106, 707)(107, 658)(108, 709)(109, 659)(110, 711)(111, 660)(112, 713)(113, 661)(114, 715)(115, 662)(116, 717)(117, 663)(118, 719)(119, 664)(120, 666)(121, 722)(122, 667)(123, 724)(124, 668)(125, 726)(126, 669)(127, 728)(128, 670)(129, 730)(130, 671)(131, 732)(132, 672)(133, 833)(134, 835)(135, 837)(136, 839)(137, 736)(138, 840)(139, 842)(140, 843)(141, 845)(142, 847)(143, 849)(144, 851)(145, 853)(146, 855)(147, 857)(148, 859)(149, 748)(150, 860)(151, 862)(152, 864)(153, 866)(154, 868)(155, 756)(156, 686)(157, 758)(158, 687)(159, 760)(160, 688)(161, 762)(162, 689)(163, 764)(164, 690)(165, 692)(166, 767)(167, 693)(168, 769)(169, 694)(170, 771)(171, 695)(172, 773)(173, 696)(174, 775)(175, 697)(176, 901)(177, 903)(178, 905)(179, 907)(180, 779)(181, 908)(182, 910)(183, 912)(184, 914)(185, 916)(186, 918)(187, 920)(188, 922)(189, 739)(190, 924)(191, 926)(192, 791)(193, 927)(194, 929)(195, 931)(196, 795)(197, 932)(198, 934)(199, 935)(200, 937)(201, 939)(202, 941)(203, 943)(204, 945)(205, 947)(206, 949)(207, 951)(208, 807)(209, 952)(210, 954)(211, 956)(212, 958)(213, 960)(214, 962)(215, 964)(216, 966)(217, 968)(218, 817)(219, 969)(220, 971)(221, 973)(222, 975)(223, 977)(224, 979)(225, 981)(226, 798)(227, 983)(228, 985)(229, 828)(230, 986)(231, 988)(232, 990)(233, 834)(234, 733)(235, 836)(236, 734)(237, 838)(238, 735)(239, 737)(240, 841)(241, 738)(242, 789)(243, 844)(244, 740)(245, 846)(246, 741)(247, 848)(248, 742)(249, 850)(250, 743)(251, 852)(252, 744)(253, 854)(254, 745)(255, 856)(256, 746)(257, 858)(258, 747)(259, 749)(260, 861)(261, 750)(262, 863)(263, 751)(264, 865)(265, 752)(266, 867)(267, 753)(268, 869)(269, 754)(270, 832)(271, 1036)(272, 1038)(273, 1039)(274, 1041)(275, 1042)(276, 1004)(277, 1044)(278, 1046)(279, 1048)(280, 1050)(281, 880)(282, 1051)(283, 1053)(284, 1055)(285, 1023)(286, 1057)(287, 1059)(288, 995)(289, 1062)(290, 1013)(291, 890)(292, 1064)(293, 1066)(294, 1068)(295, 1070)(296, 1072)(297, 1073)(298, 1075)(299, 872)(300, 1077)(301, 902)(302, 776)(303, 904)(304, 777)(305, 906)(306, 778)(307, 780)(308, 909)(309, 781)(310, 911)(311, 782)(312, 913)(313, 783)(314, 915)(315, 784)(316, 917)(317, 785)(318, 919)(319, 786)(320, 921)(321, 787)(322, 923)(323, 788)(324, 925)(325, 790)(326, 792)(327, 928)(328, 793)(329, 930)(330, 794)(331, 796)(332, 933)(333, 797)(334, 826)(335, 936)(336, 799)(337, 938)(338, 800)(339, 940)(340, 801)(341, 942)(342, 802)(343, 944)(344, 803)(345, 946)(346, 804)(347, 948)(348, 805)(349, 950)(350, 806)(351, 808)(352, 953)(353, 809)(354, 955)(355, 810)(356, 957)(357, 811)(358, 959)(359, 812)(360, 961)(361, 813)(362, 963)(363, 814)(364, 965)(365, 815)(366, 967)(367, 816)(368, 818)(369, 970)(370, 819)(371, 972)(372, 820)(373, 974)(374, 821)(375, 976)(376, 822)(377, 978)(378, 823)(379, 980)(380, 824)(381, 982)(382, 825)(383, 984)(384, 827)(385, 829)(386, 987)(387, 830)(388, 989)(389, 831)(390, 870)(391, 1156)(392, 1143)(393, 1158)(394, 1159)(395, 1061)(396, 1114)(397, 1139)(398, 1129)(399, 1161)(400, 1118)(401, 1000)(402, 1117)(403, 1100)(404, 1043)(405, 875)(406, 1147)(407, 1126)(408, 896)(409, 1150)(410, 1087)(411, 1134)(412, 1011)(413, 891)(414, 1163)(415, 1164)(416, 1166)(417, 1128)(418, 1089)(419, 1119)(420, 1113)(421, 1169)(422, 1170)(423, 1056)(424, 884)(425, 1171)(426, 1083)(427, 874)(428, 1097)(429, 1028)(430, 1121)(431, 1173)(432, 1174)(433, 1124)(434, 1014)(435, 1175)(436, 1037)(437, 871)(438, 899)(439, 1040)(440, 873)(441, 1027)(442, 1005)(443, 876)(444, 1045)(445, 877)(446, 1047)(447, 878)(448, 1049)(449, 879)(450, 881)(451, 1052)(452, 882)(453, 1054)(454, 883)(455, 1024)(456, 885)(457, 1058)(458, 886)(459, 1060)(460, 887)(461, 888)(462, 1063)(463, 889)(464, 1065)(465, 892)(466, 1067)(467, 893)(468, 1069)(469, 894)(470, 1071)(471, 895)(472, 1008)(473, 1074)(474, 897)(475, 1076)(476, 898)(477, 1078)(478, 900)(479, 997)(480, 1138)(481, 1176)(482, 1141)(483, 1148)(484, 1131)(485, 1115)(486, 1184)(487, 1135)(488, 1009)(489, 1120)(490, 1017)(491, 1146)(492, 994)(493, 1195)(494, 1033)(495, 1189)(496, 1095)(497, 1029)(498, 1181)(499, 1180)(500, 1122)(501, 1002)(502, 1194)(503, 1178)(504, 1022)(505, 1190)(506, 1016)(507, 1198)(508, 1187)(509, 1183)(510, 993)(511, 1179)(512, 1192)(513, 1168)(514, 1140)(515, 1185)(516, 1084)(517, 1101)(518, 1001)(519, 1167)(520, 1018)(521, 1172)(522, 1003)(523, 1200)(524, 1094)(525, 1032)(526, 1136)(527, 1006)(528, 1090)(529, 1160)(530, 1035)(531, 1116)(532, 1025)(533, 1108)(534, 1012)(535, 1010)(536, 1007)(537, 1103)(538, 1177)(539, 1079)(540, 996)(541, 1191)(542, 1107)(543, 1157)(544, 991)(545, 1091)(546, 1145)(547, 1127)(548, 1026)(549, 1021)(550, 1088)(551, 1111)(552, 1102)(553, 1093)(554, 1086)(555, 1031)(556, 1144)(557, 992)(558, 1110)(559, 1092)(560, 998)(561, 1162)(562, 999)(563, 1034)(564, 1165)(565, 1015)(566, 1106)(567, 1019)(568, 1020)(569, 1149)(570, 1104)(571, 1132)(572, 1030)(573, 1155)(574, 1125)(575, 1130)(576, 1188)(577, 1080)(578, 1137)(579, 1151)(580, 1196)(581, 1186)(582, 1112)(583, 1199)(584, 1154)(585, 1085)(586, 1098)(587, 1133)(588, 1081)(589, 1096)(590, 1197)(591, 1082)(592, 1182)(593, 1123)(594, 1152)(595, 1153)(596, 1099)(597, 1105)(598, 1142)(599, 1109)(600, 1193)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: chiral
Dual of E26.1517
Transitivity :: ET+ VT+
Graph:: simple
	v = 200 e = 600 f = 350
	degree seq :: [ 6^200 ]

E26.1523 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 3, 4})
Quotient :: loop
Aut^+ = $<600, 150>$ (small group id <600, 150>)
Aut   = $<600, 150>$ (small group id <600, 150>)
|r| :: 1
Presentation :: [ X2^3, X1^4, (X1 * X2)^3, (X2 * X1^-1)^6, X1^-2 * X2^-1 * X1 * X2^-1 * X1^-4 * X2 * X1^-1 * X2 * X1^-2, X1 * X2 * X1^-1 * X2 * X1^-2 * X2^-1 * X1 * X2^-1 * X1^-1 * X2 * X1^-2 * X2^-1, (X2^-1, X1^-1)^4, X1^-1 * X2 * X1 * X2 * X1^-1 * X2^-1 * X1 * X2^-1 * X1 * X2^-1 * X1^-2 * X2 * X1^-1 * X2 * X1 * X2^-1, X1^-2 * X2 * X1^-2 * X2 * X1^-1 * X2 * X1^-2 * X2 * X1^-1 * X2 * X1 * X2^-1 * X1 * X2^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 601, 2, 602, 6, 606, 4, 604)(3, 603, 9, 609, 21, 621, 10, 610)(5, 605, 13, 613, 29, 629, 14, 614)(7, 607, 17, 617, 37, 637, 18, 618)(8, 608, 19, 619, 40, 640, 20, 620)(11, 611, 26, 626, 52, 652, 27, 627)(12, 612, 28, 628, 46, 646, 22, 622)(15, 615, 33, 633, 65, 665, 34, 634)(16, 616, 35, 635, 68, 668, 36, 636)(23, 623, 47, 647, 89, 689, 48, 648)(24, 624, 49, 649, 93, 693, 50, 650)(25, 625, 51, 651, 60, 660, 30, 630)(31, 631, 61, 661, 115, 715, 62, 662)(32, 632, 63, 663, 119, 719, 64, 664)(38, 638, 73, 673, 136, 736, 74, 674)(39, 639, 75, 675, 78, 678, 41, 641)(42, 642, 79, 679, 148, 748, 80, 680)(43, 643, 81, 681, 152, 752, 82, 682)(44, 644, 83, 683, 156, 756, 84, 684)(45, 645, 85, 685, 159, 759, 86, 686)(53, 653, 101, 701, 185, 785, 102, 702)(54, 654, 103, 703, 189, 789, 104, 704)(55, 655, 105, 705, 106, 706, 56, 656)(57, 657, 107, 707, 197, 797, 108, 708)(58, 658, 109, 709, 201, 801, 110, 710)(59, 659, 111, 711, 204, 804, 112, 712)(66, 666, 125, 725, 226, 826, 126, 726)(67, 667, 127, 727, 130, 730, 69, 669)(70, 670, 131, 731, 237, 837, 132, 732)(71, 671, 122, 722, 222, 822, 133, 733)(72, 672, 134, 734, 243, 843, 135, 735)(76, 676, 142, 742, 255, 855, 143, 743)(77, 677, 144, 744, 258, 858, 145, 745)(87, 687, 162, 762, 285, 885, 163, 763)(88, 688, 164, 764, 167, 767, 90, 690)(91, 691, 168, 768, 296, 896, 169, 769)(92, 692, 170, 770, 299, 899, 171, 771)(94, 694, 174, 774, 307, 907, 175, 775)(95, 695, 176, 776, 267, 867, 150, 750)(96, 696, 177, 777, 178, 778, 97, 697)(98, 698, 179, 779, 315, 915, 180, 780)(99, 699, 181, 781, 319, 919, 182, 782)(100, 700, 183, 783, 322, 922, 184, 784)(113, 713, 207, 807, 235, 835, 208, 808)(114, 714, 209, 809, 212, 812, 116, 716)(117, 717, 191, 791, 334, 934, 213, 813)(118, 718, 214, 814, 240, 840, 215, 815)(120, 720, 218, 818, 370, 970, 219, 819)(121, 721, 220, 820, 373, 973, 221, 821)(123, 723, 155, 755, 276, 876, 223, 823)(124, 724, 224, 824, 379, 979, 225, 825)(128, 728, 232, 832, 389, 989, 233, 833)(129, 729, 234, 834, 326, 926, 186, 786)(137, 737, 248, 848, 363, 963, 249, 849)(138, 738, 250, 850, 398, 998, 239, 839)(139, 739, 251, 851, 252, 852, 140, 740)(141, 741, 253, 853, 414, 1014, 254, 854)(146, 746, 261, 861, 195, 795, 262, 862)(147, 747, 263, 863, 266, 866, 149, 749)(151, 751, 268, 868, 200, 800, 269, 869)(153, 753, 272, 872, 440, 1040, 273, 873)(154, 754, 274, 874, 443, 1043, 275, 875)(157, 757, 279, 879, 450, 1050, 280, 880)(158, 758, 281, 881, 247, 847, 160, 760)(161, 761, 284, 884, 439, 1039, 271, 871)(165, 765, 290, 890, 463, 1063, 291, 891)(166, 766, 292, 892, 465, 1065, 293, 893)(172, 772, 303, 903, 477, 1077, 304, 904)(173, 773, 305, 905, 321, 921, 306, 906)(187, 787, 301, 901, 475, 1075, 327, 927)(188, 788, 328, 928, 503, 1103, 329, 929)(190, 790, 332, 932, 507, 1107, 333, 933)(192, 792, 335, 935, 336, 936, 193, 793)(194, 794, 337, 937, 514, 1114, 338, 938)(196, 796, 339, 939, 342, 942, 198, 798)(199, 799, 228, 828, 385, 985, 343, 943)(202, 802, 346, 946, 522, 1122, 347, 947)(203, 803, 348, 948, 351, 951, 205, 805)(206, 806, 352, 952, 528, 1128, 353, 953)(210, 810, 358, 958, 534, 1134, 359, 959)(211, 811, 360, 960, 537, 1137, 361, 961)(216, 816, 367, 967, 542, 1142, 368, 968)(217, 817, 323, 923, 479, 1079, 369, 969)(227, 827, 383, 983, 434, 1034, 384, 984)(229, 829, 386, 986, 387, 987, 230, 830)(231, 831, 388, 988, 530, 1130, 354, 954)(236, 836, 394, 994, 397, 997, 238, 838)(241, 841, 399, 999, 362, 962, 400, 1000)(242, 842, 401, 1001, 382, 982, 244, 844)(245, 845, 404, 1004, 500, 1100, 325, 925)(246, 846, 405, 1005, 565, 1165, 406, 1006)(256, 856, 420, 1020, 569, 1169, 421, 1021)(257, 857, 422, 1022, 345, 945, 259, 859)(260, 860, 425, 1025, 469, 1069, 426, 1026)(264, 864, 430, 1030, 538, 1138, 431, 1031)(265, 865, 432, 1032, 509, 1109, 433, 1033)(270, 870, 438, 1038, 454, 1054, 282, 882)(277, 877, 302, 902, 476, 1076, 447, 1047)(278, 878, 448, 1048, 536, 1136, 449, 1049)(283, 883, 455, 1055, 481, 1081, 308, 908)(286, 886, 458, 1058, 586, 1186, 456, 1056)(287, 887, 459, 1059, 460, 1060, 288, 888)(289, 889, 461, 1061, 577, 1177, 462, 1062)(294, 894, 466, 1066, 313, 913, 467, 1067)(295, 895, 468, 1068, 375, 975, 297, 897)(298, 898, 471, 1071, 318, 918, 472, 1072)(300, 900, 474, 1074, 415, 1015, 413, 1013)(309, 909, 365, 965, 396, 996, 482, 1082)(310, 910, 483, 1083, 562, 1162, 484, 1084)(311, 911, 485, 1085, 592, 1192, 486, 1086)(312, 912, 487, 1087, 377, 977, 488, 1088)(314, 914, 489, 1089, 492, 1092, 316, 916)(317, 917, 452, 1052, 518, 1118, 493, 1093)(320, 920, 496, 1096, 411, 1011, 497, 1097)(324, 924, 499, 1099, 563, 1163, 402, 1002)(330, 930, 504, 1104, 523, 1123, 505, 1105)(331, 931, 380, 980, 378, 978, 506, 1106)(340, 940, 480, 1080, 591, 1191, 519, 1119)(341, 941, 520, 1120, 408, 1008, 436, 1036)(344, 944, 366, 966, 541, 1141, 521, 1121)(349, 949, 473, 1073, 412, 1012, 526, 1126)(350, 950, 527, 1127, 445, 1045, 371, 971)(355, 955, 531, 1131, 442, 1042, 356, 956)(357, 957, 532, 1132, 416, 1016, 533, 1133)(364, 964, 539, 1139, 568, 1168, 540, 1140)(372, 972, 517, 1117, 417, 1017, 544, 1144)(374, 974, 546, 1146, 553, 1153, 547, 1147)(376, 976, 548, 1148, 573, 1173, 549, 1149)(381, 981, 550, 1150, 525, 1125, 524, 1124)(390, 990, 555, 1155, 590, 1190, 478, 1078)(391, 991, 556, 1156, 419, 1019, 392, 992)(393, 993, 490, 1090, 543, 1143, 557, 1157)(395, 995, 559, 1159, 574, 1174, 560, 1160)(403, 1003, 564, 1164, 566, 1166, 407, 1007)(409, 1009, 511, 1111, 594, 1194, 567, 1167)(410, 1010, 453, 1053, 582, 1182, 510, 1110)(418, 1018, 437, 1037, 576, 1176, 491, 1091)(423, 1023, 545, 1145, 552, 1152, 451, 1051)(424, 1024, 535, 1135, 494, 1094, 441, 1041)(427, 1027, 570, 1170, 502, 1102, 428, 1028)(429, 1029, 571, 1171, 554, 1154, 572, 1172)(435, 1035, 575, 1175, 529, 1129, 457, 1057)(444, 1044, 579, 1179, 515, 1115, 513, 1113)(446, 1046, 580, 1180, 589, 1189, 581, 1181)(464, 1064, 588, 1188, 599, 1199, 551, 1151)(470, 1070, 516, 1116, 593, 1193, 558, 1158)(495, 1095, 595, 1195, 598, 1198, 596, 1196)(498, 1098, 583, 1183, 597, 1197, 508, 1108)(501, 1101, 578, 1178, 512, 1112, 561, 1161)(584, 1184, 600, 1200, 587, 1187, 585, 1185)
	L = (1, 603)(2, 607)(3, 605)(4, 611)(5, 601)(6, 615)(7, 608)(8, 602)(9, 622)(10, 624)(11, 612)(12, 604)(13, 630)(14, 632)(15, 616)(16, 606)(17, 614)(18, 638)(19, 641)(20, 643)(21, 644)(22, 623)(23, 609)(24, 625)(25, 610)(26, 636)(27, 654)(28, 656)(29, 658)(30, 631)(31, 613)(32, 617)(33, 620)(34, 666)(35, 669)(36, 653)(37, 671)(38, 639)(39, 618)(40, 676)(41, 642)(42, 619)(43, 633)(44, 645)(45, 621)(46, 687)(47, 690)(48, 692)(49, 686)(50, 695)(51, 697)(52, 699)(53, 626)(54, 655)(55, 627)(56, 657)(57, 628)(58, 659)(59, 629)(60, 713)(61, 716)(62, 718)(63, 712)(64, 721)(65, 723)(66, 667)(67, 634)(68, 728)(69, 670)(70, 635)(71, 672)(72, 637)(73, 735)(74, 738)(75, 740)(76, 677)(77, 640)(78, 746)(79, 749)(80, 751)(81, 745)(82, 754)(83, 648)(84, 757)(85, 760)(86, 694)(87, 688)(88, 646)(89, 765)(90, 691)(91, 647)(92, 683)(93, 772)(94, 649)(95, 696)(96, 650)(97, 698)(98, 651)(99, 700)(100, 652)(101, 786)(102, 788)(103, 784)(104, 791)(105, 793)(106, 795)(107, 798)(108, 800)(109, 662)(110, 802)(111, 805)(112, 720)(113, 714)(114, 660)(115, 810)(116, 717)(117, 661)(118, 709)(119, 816)(120, 663)(121, 722)(122, 664)(123, 724)(124, 665)(125, 825)(126, 828)(127, 830)(128, 729)(129, 668)(130, 835)(131, 838)(132, 840)(133, 841)(134, 844)(135, 737)(136, 846)(137, 673)(138, 739)(139, 674)(140, 741)(141, 675)(142, 680)(143, 856)(144, 859)(145, 753)(146, 747)(147, 678)(148, 864)(149, 750)(150, 679)(151, 742)(152, 870)(153, 681)(154, 755)(155, 682)(156, 877)(157, 758)(158, 684)(159, 882)(160, 761)(161, 685)(162, 708)(163, 886)(164, 888)(165, 766)(166, 689)(167, 894)(168, 897)(169, 898)(170, 893)(171, 901)(172, 773)(173, 693)(174, 908)(175, 910)(176, 906)(177, 866)(178, 913)(179, 916)(180, 918)(181, 702)(182, 920)(183, 905)(184, 790)(185, 924)(186, 787)(187, 701)(188, 781)(189, 930)(190, 703)(191, 792)(192, 704)(193, 794)(194, 705)(195, 796)(196, 706)(197, 940)(198, 799)(199, 707)(200, 762)(201, 944)(202, 803)(203, 710)(204, 949)(205, 806)(206, 711)(207, 780)(208, 954)(209, 956)(210, 811)(211, 715)(212, 962)(213, 963)(214, 961)(215, 965)(216, 817)(217, 719)(218, 971)(219, 972)(220, 969)(221, 768)(222, 975)(223, 977)(224, 980)(225, 827)(226, 981)(227, 725)(228, 829)(229, 726)(230, 831)(231, 727)(232, 732)(233, 990)(234, 992)(235, 836)(236, 730)(237, 995)(238, 839)(239, 731)(240, 832)(241, 842)(242, 733)(243, 1002)(244, 845)(245, 734)(246, 847)(247, 736)(248, 1007)(249, 1009)(250, 881)(251, 997)(252, 1012)(253, 1015)(254, 1017)(255, 1018)(256, 857)(257, 743)(258, 1023)(259, 860)(260, 744)(261, 854)(262, 938)(263, 1028)(264, 865)(265, 748)(266, 912)(267, 1034)(268, 1033)(269, 1036)(270, 871)(271, 752)(272, 1041)(273, 1042)(274, 1039)(275, 818)(276, 1045)(277, 878)(278, 756)(279, 1049)(280, 1052)(281, 1010)(282, 883)(283, 759)(284, 1006)(285, 1057)(286, 887)(287, 763)(288, 889)(289, 764)(290, 769)(291, 1064)(292, 824)(293, 900)(294, 895)(295, 767)(296, 1069)(297, 821)(298, 890)(299, 1073)(300, 770)(301, 902)(302, 771)(303, 775)(304, 1078)(305, 923)(306, 911)(307, 1080)(308, 909)(309, 774)(310, 903)(311, 776)(312, 777)(313, 914)(314, 778)(315, 1090)(316, 917)(317, 779)(318, 807)(319, 1094)(320, 921)(321, 782)(322, 968)(323, 783)(324, 925)(325, 785)(326, 1101)(327, 1102)(328, 1100)(329, 872)(330, 931)(331, 789)(332, 1108)(333, 1110)(334, 1106)(335, 812)(336, 1112)(337, 1115)(338, 1027)(339, 1117)(340, 941)(341, 797)(342, 1050)(343, 907)(344, 945)(345, 801)(346, 1022)(347, 1004)(348, 1125)(349, 950)(350, 804)(351, 885)(352, 1129)(353, 899)(354, 955)(355, 808)(356, 957)(357, 809)(358, 813)(359, 1135)(360, 1048)(361, 964)(362, 935)(363, 958)(364, 814)(365, 966)(366, 815)(367, 819)(368, 1098)(369, 974)(370, 1143)(371, 875)(372, 967)(373, 1145)(374, 820)(375, 976)(376, 822)(377, 978)(378, 823)(379, 891)(380, 892)(381, 982)(382, 826)(383, 1151)(384, 1086)(385, 1001)(386, 942)(387, 1152)(388, 1153)(389, 1140)(390, 991)(391, 833)(392, 993)(393, 834)(394, 1071)(395, 996)(396, 837)(397, 1011)(398, 1107)(399, 1149)(400, 1133)(401, 1083)(402, 1003)(403, 843)(404, 1124)(405, 849)(406, 1056)(407, 1008)(408, 848)(409, 1005)(410, 850)(411, 851)(412, 1013)(413, 852)(414, 1061)(415, 1016)(416, 853)(417, 861)(418, 1019)(419, 855)(420, 1156)(421, 1065)(422, 1123)(423, 1024)(424, 858)(425, 1121)(426, 973)(427, 862)(428, 1029)(429, 863)(430, 867)(431, 1047)(432, 1148)(433, 1035)(434, 1030)(435, 868)(436, 1037)(437, 869)(438, 873)(439, 1044)(440, 1177)(441, 929)(442, 1038)(443, 1178)(444, 874)(445, 1046)(446, 876)(447, 1173)(448, 1138)(449, 1051)(450, 986)(451, 879)(452, 1053)(453, 880)(454, 1183)(455, 1185)(456, 884)(457, 951)(458, 948)(459, 1165)(460, 989)(461, 1168)(462, 1103)(463, 1164)(464, 979)(465, 1105)(466, 1062)(467, 1088)(468, 1189)(469, 1070)(470, 896)(471, 1158)(472, 1176)(473, 953)(474, 1169)(475, 1128)(476, 926)(477, 1020)(478, 1079)(479, 904)(480, 943)(481, 1170)(482, 1180)(483, 985)(484, 1074)(485, 1097)(486, 1150)(487, 1172)(488, 1181)(489, 928)(490, 1091)(491, 915)(492, 1122)(493, 970)(494, 1095)(495, 919)(496, 1196)(497, 1193)(498, 922)(499, 927)(500, 1089)(501, 1076)(502, 1099)(503, 1066)(504, 933)(505, 1021)(506, 1111)(507, 1159)(508, 1109)(509, 932)(510, 1104)(511, 934)(512, 1113)(513, 936)(514, 1025)(515, 1116)(516, 937)(517, 1118)(518, 939)(519, 1127)(520, 1195)(521, 1114)(522, 1182)(523, 946)(524, 947)(525, 1058)(526, 1096)(527, 1198)(528, 1171)(529, 1130)(530, 952)(531, 1175)(532, 1040)(533, 1162)(534, 1120)(535, 1136)(536, 959)(537, 983)(538, 960)(539, 1199)(540, 1060)(541, 1081)(542, 1188)(543, 1093)(544, 1139)(545, 1026)(546, 1190)(547, 987)(548, 1174)(549, 1161)(550, 984)(551, 1137)(552, 1147)(553, 1154)(554, 988)(555, 1059)(556, 1077)(557, 1043)(558, 994)(559, 998)(560, 1068)(561, 999)(562, 1000)(563, 1055)(564, 1187)(565, 1155)(566, 1072)(567, 1146)(568, 1014)(569, 1084)(570, 1141)(571, 1075)(572, 1194)(573, 1031)(574, 1032)(575, 1197)(576, 1166)(577, 1132)(578, 1157)(579, 1186)(580, 1191)(581, 1067)(582, 1092)(583, 1184)(584, 1054)(585, 1163)(586, 1192)(587, 1063)(588, 1200)(589, 1160)(590, 1167)(591, 1082)(592, 1179)(593, 1085)(594, 1087)(595, 1134)(596, 1126)(597, 1131)(598, 1119)(599, 1144)(600, 1142)
	local type(s) :: { ( 3^8 ) }
Outer automorphisms :: chiral
Dual of E26.1516
Transitivity :: ET+ VT+
Graph:: simple
	v = 150 e = 600 f = 400
	degree seq :: [ 8^150 ]

E26.1524 :: Family: { 2*ex } :: Oriented family(ies): { E3c }
Signature :: (0; {3, 3, 4})
Quotient :: loop
Aut^+ = $<600, 150>$ (small group id <600, 150>)
Aut   = $<1200, 947>$ (small group id <1200, 947>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, F * T1 * F * T2, (T1 * T2)^4, (T1 * T2^-1)^6, T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1, (T2^-1, T1^-1)^4, T2 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T2^-1 * T1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, (T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1)^3 ]
Map:: polyhedral 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, 38)(39, 73, 74)(40, 75, 76)(41, 77, 78)(42, 79, 80)(43, 81, 82)(44, 83, 84)(45, 85, 53)(54, 98, 99)(55, 100, 101)(56, 102, 103)(57, 104, 105)(58, 106, 107)(59, 108, 109)(60, 110, 111)(61, 112, 113)(62, 114, 115)(63, 116, 117)(64, 118, 119)(65, 120, 66)(67, 121, 122)(68, 123, 124)(69, 125, 126)(70, 127, 128)(71, 129, 130)(72, 131, 132)(86, 155, 156)(87, 157, 158)(88, 159, 160)(89, 161, 162)(90, 163, 164)(91, 165, 92)(93, 166, 167)(94, 168, 169)(95, 170, 171)(96, 172, 173)(97, 174, 175)(133, 233, 234)(134, 235, 236)(135, 237, 238)(136, 239, 137)(138, 240, 241)(139, 242, 189)(140, 243, 244)(141, 245, 246)(142, 247, 248)(143, 249, 250)(144, 251, 252)(145, 253, 254)(146, 255, 256)(147, 257, 258)(148, 259, 149)(150, 260, 261)(151, 262, 263)(152, 264, 265)(153, 266, 267)(154, 268, 269)(176, 301, 302)(177, 303, 304)(178, 305, 306)(179, 307, 180)(181, 308, 309)(182, 310, 311)(183, 312, 313)(184, 314, 315)(185, 316, 317)(186, 318, 319)(187, 320, 321)(188, 322, 323)(190, 324, 325)(191, 326, 192)(193, 327, 328)(194, 329, 330)(195, 331, 196)(197, 332, 333)(198, 334, 226)(199, 335, 336)(200, 337, 338)(201, 339, 340)(202, 341, 342)(203, 343, 344)(204, 345, 346)(205, 347, 348)(206, 349, 350)(207, 351, 208)(209, 352, 353)(210, 354, 355)(211, 356, 357)(212, 358, 359)(213, 360, 361)(214, 362, 363)(215, 364, 365)(216, 366, 367)(217, 368, 218)(219, 369, 370)(220, 371, 372)(221, 373, 374)(222, 375, 376)(223, 377, 378)(224, 379, 380)(225, 381, 382)(227, 383, 384)(228, 385, 229)(230, 386, 387)(231, 388, 389)(232, 390, 270)(271, 435, 436)(272, 437, 299)(273, 438, 439)(274, 440, 425)(275, 441, 442)(276, 409, 443)(277, 444, 445)(278, 446, 447)(279, 448, 405)(280, 449, 281)(282, 450, 451)(283, 452, 433)(284, 432, 453)(285, 454, 455)(286, 456, 457)(287, 458, 422)(288, 395, 459)(289, 460, 461)(290, 419, 291)(292, 462, 463)(293, 464, 465)(294, 466, 467)(295, 468, 469)(296, 470, 408)(297, 471, 472)(298, 473, 474)(300, 475, 476)(391, 481, 480)(392, 557, 530)(393, 558, 559)(394, 519, 489)(396, 560, 556)(397, 555, 508)(398, 478, 561)(399, 562, 539)(400, 563, 528)(401, 564, 546)(402, 545, 502)(403, 501, 523)(404, 565, 531)(406, 549, 526)(407, 525, 536)(410, 517, 411)(412, 497, 566)(413, 567, 414)(415, 520, 568)(416, 569, 506)(417, 527, 570)(418, 492, 571)(420, 572, 573)(421, 515, 574)(423, 575, 505)(424, 482, 548)(426, 500, 427)(428, 552, 576)(429, 577, 543)(430, 578, 512)(431, 511, 491)(434, 554, 524)(477, 580, 597)(479, 540, 589)(483, 533, 591)(484, 522, 544)(485, 579, 598)(486, 514, 550)(487, 592, 538)(488, 537, 586)(490, 518, 547)(493, 596, 494)(495, 529, 496)(498, 583, 588)(499, 587, 553)(503, 521, 585)(504, 535, 534)(507, 582, 541)(509, 532, 599)(510, 600, 590)(513, 593, 551)(516, 595, 584)(542, 581, 594)(601, 602, 604)(603, 608, 609)(605, 612, 613)(606, 614, 615)(607, 616, 617)(610, 622, 623)(611, 624, 625)(618, 638, 639)(619, 640, 641)(620, 642, 643)(621, 644, 645)(626, 653, 654)(627, 655, 656)(628, 657, 658)(629, 659, 630)(631, 660, 661)(632, 662, 663)(633, 664, 665)(634, 666, 667)(635, 668, 669)(636, 670, 671)(637, 672, 646)(647, 686, 687)(648, 688, 689)(649, 690, 691)(650, 692, 693)(651, 694, 695)(652, 696, 697)(673, 733, 734)(674, 735, 736)(675, 737, 738)(676, 739, 740)(677, 741, 742)(678, 743, 679)(680, 744, 745)(681, 746, 724)(682, 747, 748)(683, 749, 750)(684, 751, 752)(685, 753, 754)(698, 776, 777)(699, 778, 779)(700, 780, 781)(701, 761, 782)(702, 783, 784)(703, 785, 704)(705, 786, 787)(706, 788, 789)(707, 790, 791)(708, 792, 793)(709, 794, 795)(710, 796, 797)(711, 798, 799)(712, 800, 801)(713, 802, 714)(715, 803, 804)(716, 805, 769)(717, 806, 807)(718, 808, 809)(719, 810, 811)(720, 812, 813)(721, 814, 815)(722, 816, 817)(723, 818, 819)(725, 820, 821)(726, 822, 727)(728, 823, 824)(729, 825, 826)(730, 827, 828)(731, 829, 830)(732, 831, 832)(755, 870, 871)(756, 872, 873)(757, 874, 875)(758, 876, 759)(760, 877, 878)(762, 879, 880)(763, 881, 882)(764, 883, 884)(765, 885, 886)(766, 887, 888)(767, 889, 890)(768, 891, 892)(770, 893, 894)(771, 895, 772)(773, 896, 897)(774, 898, 899)(775, 900, 833)(834, 991, 992)(835, 960, 863)(836, 993, 944)(837, 943, 994)(838, 995, 996)(839, 997, 998)(840, 999, 1000)(841, 1001, 976)(842, 975, 1002)(843, 1003, 1004)(844, 1005, 845)(846, 1006, 953)(847, 1007, 1008)(848, 1009, 1010)(849, 1011, 940)(850, 1012, 1013)(851, 1014, 988)(852, 987, 1015)(853, 1016, 1017)(854, 1018, 855)(856, 1019, 971)(857, 970, 1020)(858, 937, 936)(859, 1021, 1022)(860, 1023, 1024)(861, 1025, 1026)(862, 1027, 1028)(864, 959, 1029)(865, 1030, 866)(867, 1031, 1032)(868, 1033, 986)(869, 1034, 901)(902, 951, 1077)(903, 1078, 930)(904, 1079, 1080)(905, 1081, 979)(906, 1082, 1083)(907, 1064, 948)(908, 1084, 1085)(909, 1086, 1048)(910, 1047, 1087)(911, 968, 912)(913, 1088, 1089)(914, 1090, 1091)(915, 1092, 1093)(916, 1094, 1037)(917, 1036, 1095)(918, 1096, 1097)(919, 939, 1098)(920, 1060, 1099)(921, 984, 922)(923, 1100, 1101)(924, 1102, 1103)(925, 1073, 1072)(926, 1104, 1105)(927, 1056, 955)(928, 1106, 1045)(929, 1044, 1107)(931, 1108, 1109)(932, 1110, 1111)(933, 1112, 1069)(934, 1068, 1113)(935, 1114, 1115)(938, 1116, 1051)(941, 1117, 1042)(942, 1118, 1119)(945, 1120, 1121)(946, 1122, 947)(949, 1063, 1123)(950, 1040, 1039)(952, 1124, 1125)(954, 1126, 1127)(956, 1055, 1128)(957, 1129, 958)(961, 1130, 962)(963, 1049, 1131)(964, 1132, 989)(965, 1133, 1134)(966, 1135, 1071)(967, 1136, 1137)(969, 1138, 1139)(972, 1140, 1141)(973, 1142, 1143)(974, 1144, 1145)(977, 1146, 1147)(978, 1041, 1148)(980, 1076, 981)(982, 1149, 1150)(983, 1151, 1152)(985, 1153, 1154)(990, 1155, 1156)(1035, 1179, 1177)(1038, 1172, 1180)(1043, 1181, 1182)(1046, 1158, 1176)(1050, 1157, 1183)(1052, 1184, 1185)(1053, 1164, 1054)(1057, 1175, 1058)(1059, 1186, 1187)(1061, 1188, 1189)(1062, 1171, 1190)(1065, 1191, 1167)(1066, 1166, 1163)(1067, 1192, 1193)(1070, 1178, 1194)(1074, 1195, 1173)(1075, 1196, 1170)(1159, 1169, 1168)(1160, 1174, 1198)(1161, 1197, 1162)(1165, 1200, 1199)
	L = (1, 601)(2, 602)(3, 603)(4, 604)(5, 605)(6, 606)(7, 607)(8, 608)(9, 609)(10, 610)(11, 611)(12, 612)(13, 613)(14, 614)(15, 615)(16, 616)(17, 617)(18, 618)(19, 619)(20, 620)(21, 621)(22, 622)(23, 623)(24, 624)(25, 625)(26, 626)(27, 627)(28, 628)(29, 629)(30, 630)(31, 631)(32, 632)(33, 633)(34, 634)(35, 635)(36, 636)(37, 637)(38, 638)(39, 639)(40, 640)(41, 641)(42, 642)(43, 643)(44, 644)(45, 645)(46, 646)(47, 647)(48, 648)(49, 649)(50, 650)(51, 651)(52, 652)(53, 653)(54, 654)(55, 655)(56, 656)(57, 657)(58, 658)(59, 659)(60, 660)(61, 661)(62, 662)(63, 663)(64, 664)(65, 665)(66, 666)(67, 667)(68, 668)(69, 669)(70, 670)(71, 671)(72, 672)(73, 673)(74, 674)(75, 675)(76, 676)(77, 677)(78, 678)(79, 679)(80, 680)(81, 681)(82, 682)(83, 683)(84, 684)(85, 685)(86, 686)(87, 687)(88, 688)(89, 689)(90, 690)(91, 691)(92, 692)(93, 693)(94, 694)(95, 695)(96, 696)(97, 697)(98, 698)(99, 699)(100, 700)(101, 701)(102, 702)(103, 703)(104, 704)(105, 705)(106, 706)(107, 707)(108, 708)(109, 709)(110, 710)(111, 711)(112, 712)(113, 713)(114, 714)(115, 715)(116, 716)(117, 717)(118, 718)(119, 719)(120, 720)(121, 721)(122, 722)(123, 723)(124, 724)(125, 725)(126, 726)(127, 727)(128, 728)(129, 729)(130, 730)(131, 731)(132, 732)(133, 733)(134, 734)(135, 735)(136, 736)(137, 737)(138, 738)(139, 739)(140, 740)(141, 741)(142, 742)(143, 743)(144, 744)(145, 745)(146, 746)(147, 747)(148, 748)(149, 749)(150, 750)(151, 751)(152, 752)(153, 753)(154, 754)(155, 755)(156, 756)(157, 757)(158, 758)(159, 759)(160, 760)(161, 761)(162, 762)(163, 763)(164, 764)(165, 765)(166, 766)(167, 767)(168, 768)(169, 769)(170, 770)(171, 771)(172, 772)(173, 773)(174, 774)(175, 775)(176, 776)(177, 777)(178, 778)(179, 779)(180, 780)(181, 781)(182, 782)(183, 783)(184, 784)(185, 785)(186, 786)(187, 787)(188, 788)(189, 789)(190, 790)(191, 791)(192, 792)(193, 793)(194, 794)(195, 795)(196, 796)(197, 797)(198, 798)(199, 799)(200, 800)(201, 801)(202, 802)(203, 803)(204, 804)(205, 805)(206, 806)(207, 807)(208, 808)(209, 809)(210, 810)(211, 811)(212, 812)(213, 813)(214, 814)(215, 815)(216, 816)(217, 817)(218, 818)(219, 819)(220, 820)(221, 821)(222, 822)(223, 823)(224, 824)(225, 825)(226, 826)(227, 827)(228, 828)(229, 829)(230, 830)(231, 831)(232, 832)(233, 833)(234, 834)(235, 835)(236, 836)(237, 837)(238, 838)(239, 839)(240, 840)(241, 841)(242, 842)(243, 843)(244, 844)(245, 845)(246, 846)(247, 847)(248, 848)(249, 849)(250, 850)(251, 851)(252, 852)(253, 853)(254, 854)(255, 855)(256, 856)(257, 857)(258, 858)(259, 859)(260, 860)(261, 861)(262, 862)(263, 863)(264, 864)(265, 865)(266, 866)(267, 867)(268, 868)(269, 869)(270, 870)(271, 871)(272, 872)(273, 873)(274, 874)(275, 875)(276, 876)(277, 877)(278, 878)(279, 879)(280, 880)(281, 881)(282, 882)(283, 883)(284, 884)(285, 885)(286, 886)(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, 905)(306, 906)(307, 907)(308, 908)(309, 909)(310, 910)(311, 911)(312, 912)(313, 913)(314, 914)(315, 915)(316, 916)(317, 917)(318, 918)(319, 919)(320, 920)(321, 921)(322, 922)(323, 923)(324, 924)(325, 925)(326, 926)(327, 927)(328, 928)(329, 929)(330, 930)(331, 931)(332, 932)(333, 933)(334, 934)(335, 935)(336, 936)(337, 937)(338, 938)(339, 939)(340, 940)(341, 941)(342, 942)(343, 943)(344, 944)(345, 945)(346, 946)(347, 947)(348, 948)(349, 949)(350, 950)(351, 951)(352, 952)(353, 953)(354, 954)(355, 955)(356, 956)(357, 957)(358, 958)(359, 959)(360, 960)(361, 961)(362, 962)(363, 963)(364, 964)(365, 965)(366, 966)(367, 967)(368, 968)(369, 969)(370, 970)(371, 971)(372, 972)(373, 973)(374, 974)(375, 975)(376, 976)(377, 977)(378, 978)(379, 979)(380, 980)(381, 981)(382, 982)(383, 983)(384, 984)(385, 985)(386, 986)(387, 987)(388, 988)(389, 989)(390, 990)(391, 991)(392, 992)(393, 993)(394, 994)(395, 995)(396, 996)(397, 997)(398, 998)(399, 999)(400, 1000)(401, 1001)(402, 1002)(403, 1003)(404, 1004)(405, 1005)(406, 1006)(407, 1007)(408, 1008)(409, 1009)(410, 1010)(411, 1011)(412, 1012)(413, 1013)(414, 1014)(415, 1015)(416, 1016)(417, 1017)(418, 1018)(419, 1019)(420, 1020)(421, 1021)(422, 1022)(423, 1023)(424, 1024)(425, 1025)(426, 1026)(427, 1027)(428, 1028)(429, 1029)(430, 1030)(431, 1031)(432, 1032)(433, 1033)(434, 1034)(435, 1035)(436, 1036)(437, 1037)(438, 1038)(439, 1039)(440, 1040)(441, 1041)(442, 1042)(443, 1043)(444, 1044)(445, 1045)(446, 1046)(447, 1047)(448, 1048)(449, 1049)(450, 1050)(451, 1051)(452, 1052)(453, 1053)(454, 1054)(455, 1055)(456, 1056)(457, 1057)(458, 1058)(459, 1059)(460, 1060)(461, 1061)(462, 1062)(463, 1063)(464, 1064)(465, 1065)(466, 1066)(467, 1067)(468, 1068)(469, 1069)(470, 1070)(471, 1071)(472, 1072)(473, 1073)(474, 1074)(475, 1075)(476, 1076)(477, 1077)(478, 1078)(479, 1079)(480, 1080)(481, 1081)(482, 1082)(483, 1083)(484, 1084)(485, 1085)(486, 1086)(487, 1087)(488, 1088)(489, 1089)(490, 1090)(491, 1091)(492, 1092)(493, 1093)(494, 1094)(495, 1095)(496, 1096)(497, 1097)(498, 1098)(499, 1099)(500, 1100)(501, 1101)(502, 1102)(503, 1103)(504, 1104)(505, 1105)(506, 1106)(507, 1107)(508, 1108)(509, 1109)(510, 1110)(511, 1111)(512, 1112)(513, 1113)(514, 1114)(515, 1115)(516, 1116)(517, 1117)(518, 1118)(519, 1119)(520, 1120)(521, 1121)(522, 1122)(523, 1123)(524, 1124)(525, 1125)(526, 1126)(527, 1127)(528, 1128)(529, 1129)(530, 1130)(531, 1131)(532, 1132)(533, 1133)(534, 1134)(535, 1135)(536, 1136)(537, 1137)(538, 1138)(539, 1139)(540, 1140)(541, 1141)(542, 1142)(543, 1143)(544, 1144)(545, 1145)(546, 1146)(547, 1147)(548, 1148)(549, 1149)(550, 1150)(551, 1151)(552, 1152)(553, 1153)(554, 1154)(555, 1155)(556, 1156)(557, 1157)(558, 1158)(559, 1159)(560, 1160)(561, 1161)(562, 1162)(563, 1163)(564, 1164)(565, 1165)(566, 1166)(567, 1167)(568, 1168)(569, 1169)(570, 1170)(571, 1171)(572, 1172)(573, 1173)(574, 1174)(575, 1175)(576, 1176)(577, 1177)(578, 1178)(579, 1179)(580, 1180)(581, 1181)(582, 1182)(583, 1183)(584, 1184)(585, 1185)(586, 1186)(587, 1187)(588, 1188)(589, 1189)(590, 1190)(591, 1191)(592, 1192)(593, 1193)(594, 1194)(595, 1195)(596, 1196)(597, 1197)(598, 1198)(599, 1199)(600, 1200)
	local type(s) :: { ( 8^3 ) }
Outer automorphisms :: reflexible
Dual of E26.1525
Transitivity :: ET+ VT AT
Graph:: simple bipartite
	v = 400 e = 600 f = 150
	degree seq :: [ 3^400 ]

E26.1525 :: Family: { 2ex } :: Oriented family(ies): { E3*c }
Signature :: (0; {3, 3, 4})
Quotient :: edge
Aut^+ = $<600, 150>$ (small group id <600, 150>)
Aut   = $<1200, 947>$ (small group id <1200, 947>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T2)^2, F * T1 * T2 * F * T1^-1, (T2^-1 * T1^-1)^3, (T1^-1 * T2)^6, (T1 * T2^-1)^6, T1 * F * T1^-1 * T2^-2 * T1 * T2^-1 * T1 * T2^-1 * F * T1^-1 * T2 * T1^-1 * T2^-2, T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1, T2^-2 * T1 * T2^-2 * T1^-1 * T2 * T1^-1 * T2^-2 * T1^-1 * T2 * T1 * T2^-1 * T1, (T2^-1, T1^-1)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 601, 3, 603, 9, 609, 5, 605)(2, 602, 6, 606, 16, 616, 7, 607)(4, 604, 11, 611, 27, 627, 12, 612)(8, 608, 20, 620, 41, 641, 21, 621)(10, 610, 24, 624, 49, 649, 25, 625)(13, 613, 30, 630, 59, 659, 31, 631)(14, 614, 32, 632, 33, 633, 15, 615)(17, 617, 36, 636, 72, 672, 37, 637)(18, 618, 38, 638, 75, 675, 39, 639)(19, 619, 40, 640, 52, 652, 26, 626)(22, 622, 44, 644, 86, 686, 45, 645)(23, 623, 46, 646, 90, 690, 47, 647)(28, 628, 55, 655, 106, 706, 56, 656)(29, 629, 57, 657, 109, 709, 58, 658)(34, 634, 67, 667, 126, 726, 68, 668)(35, 635, 69, 669, 130, 730, 70, 670)(42, 642, 83, 683, 152, 752, 84, 684)(43, 643, 85, 685, 92, 692, 48, 648)(50, 650, 95, 695, 175, 775, 96, 696)(51, 651, 97, 697, 177, 777, 98, 698)(53, 653, 101, 701, 184, 784, 102, 702)(54, 654, 103, 703, 188, 788, 104, 704)(60, 660, 115, 715, 209, 809, 116, 716)(61, 661, 117, 717, 212, 812, 118, 718)(62, 662, 119, 719, 120, 720, 63, 663)(64, 664, 121, 721, 220, 820, 122, 722)(65, 665, 123, 723, 223, 823, 124, 724)(66, 666, 125, 725, 132, 732, 71, 671)(73, 673, 135, 735, 245, 845, 136, 736)(74, 674, 137, 737, 247, 847, 138, 738)(76, 676, 141, 741, 256, 856, 142, 742)(77, 677, 143, 743, 259, 859, 144, 744)(78, 678, 145, 745, 146, 746, 79, 679)(80, 680, 147, 747, 266, 866, 148, 748)(81, 681, 112, 712, 203, 803, 149, 749)(82, 682, 150, 750, 272, 872, 151, 751)(87, 687, 160, 760, 287, 887, 161, 761)(88, 688, 162, 762, 163, 763, 89, 689)(91, 691, 166, 766, 299, 899, 167, 767)(93, 693, 170, 770, 304, 904, 171, 771)(94, 694, 172, 772, 308, 908, 173, 773)(99, 699, 181, 781, 321, 921, 182, 782)(100, 700, 183, 783, 190, 790, 105, 705)(107, 707, 193, 793, 342, 942, 194, 794)(108, 708, 195, 795, 344, 944, 196, 796)(110, 710, 199, 799, 353, 953, 200, 800)(111, 711, 201, 801, 355, 955, 202, 802)(113, 713, 204, 804, 359, 959, 205, 805)(114, 714, 206, 806, 363, 963, 207, 807)(127, 727, 230, 830, 274, 874, 231, 831)(128, 728, 232, 832, 233, 833, 129, 729)(131, 731, 236, 836, 300, 900, 237, 837)(133, 733, 240, 840, 408, 1008, 241, 841)(134, 734, 242, 842, 411, 1011, 243, 843)(139, 739, 251, 851, 360, 960, 252, 852)(140, 740, 253, 853, 293, 893, 254, 854)(153, 753, 276, 876, 267, 867, 277, 877)(154, 754, 278, 878, 450, 1050, 279, 879)(155, 755, 280, 880, 281, 881, 156, 756)(157, 757, 282, 882, 455, 1055, 283, 883)(158, 758, 180, 780, 320, 920, 284, 884)(159, 759, 285, 885, 460, 1060, 286, 886)(164, 764, 295, 895, 468, 1068, 296, 896)(165, 765, 297, 897, 365, 965, 208, 808)(168, 768, 301, 901, 372, 972, 302, 902)(169, 769, 303, 903, 261, 861, 174, 774)(176, 776, 312, 912, 364, 964, 313, 913)(178, 778, 316, 916, 491, 1091, 317, 917)(179, 779, 318, 918, 493, 1093, 319, 919)(185, 785, 328, 928, 387, 987, 329, 929)(186, 786, 330, 930, 331, 931, 187, 787)(189, 789, 334, 934, 405, 1005, 335, 935)(191, 791, 338, 938, 507, 1107, 339, 939)(192, 792, 340, 940, 508, 1108, 341, 941)(197, 797, 348, 948, 423, 1023, 349, 949)(198, 798, 350, 950, 400, 1000, 351, 951)(210, 810, 249, 849, 421, 1021, 368, 968)(211, 811, 369, 969, 530, 1130, 370, 970)(213, 813, 373, 973, 533, 1133, 374, 974)(214, 814, 337, 937, 375, 975, 215, 815)(216, 816, 376, 976, 537, 1137, 377, 977)(217, 817, 378, 978, 275, 875, 379, 979)(218, 818, 380, 980, 381, 981, 219, 819)(221, 821, 289, 889, 268, 868, 384, 984)(222, 822, 385, 985, 273, 873, 386, 986)(224, 824, 389, 989, 546, 1146, 390, 990)(225, 825, 391, 991, 392, 992, 226, 826)(227, 827, 393, 993, 483, 1083, 311, 911)(228, 828, 250, 850, 422, 1022, 394, 994)(229, 829, 314, 914, 487, 1087, 395, 995)(234, 834, 402, 1002, 555, 1155, 403, 1003)(235, 835, 307, 907, 306, 906, 255, 855)(238, 838, 310, 910, 432, 1032, 406, 1006)(239, 839, 407, 1007, 357, 957, 244, 844)(246, 846, 415, 1015, 426, 1026, 416, 1016)(248, 848, 419, 1019, 454, 1054, 420, 1020)(257, 857, 346, 946, 513, 1113, 428, 1028)(258, 858, 429, 1029, 573, 1173, 430, 1030)(260, 860, 292, 892, 466, 1066, 433, 1033)(262, 862, 434, 1034, 577, 1177, 435, 1035)(263, 863, 436, 1036, 388, 988, 437, 1037)(264, 864, 438, 1038, 439, 1039, 265, 865)(269, 869, 442, 1042, 461, 1061, 443, 1043)(270, 870, 444, 1044, 445, 1045, 271, 871)(288, 888, 462, 1062, 456, 1056, 463, 1063)(290, 890, 464, 1064, 465, 1065, 291, 891)(294, 894, 467, 1067, 451, 1051, 298, 898)(305, 905, 479, 1079, 326, 926, 347, 947)(309, 909, 482, 1082, 543, 1143, 383, 983)(315, 915, 488, 1088, 580, 1180, 489, 1089)(322, 922, 495, 1095, 595, 1195, 496, 1096)(323, 923, 497, 1097, 492, 1092, 324, 924)(325, 925, 498, 1098, 563, 1163, 414, 1014)(327, 927, 417, 1017, 453, 1053, 499, 1099)(332, 932, 472, 1072, 584, 1184, 504, 1104)(333, 933, 410, 1010, 409, 1009, 352, 952)(336, 936, 413, 1013, 521, 1121, 506, 1106)(343, 943, 509, 1109, 516, 1116, 510, 1110)(345, 945, 511, 1111, 548, 1148, 512, 1112)(354, 954, 518, 1118, 539, 1139, 519, 1119)(356, 956, 399, 999, 553, 1153, 522, 1122)(358, 958, 366, 966, 526, 1126, 523, 1123)(361, 961, 524, 1124, 525, 1125, 362, 962)(367, 967, 527, 1127, 600, 1200, 528, 1128)(371, 971, 531, 1131, 457, 1057, 532, 1132)(382, 982, 542, 1142, 592, 1192, 480, 1080)(396, 996, 551, 1151, 549, 1149, 538, 1138)(397, 997, 552, 1152, 534, 1134, 398, 998)(401, 1001, 554, 1154, 547, 1147, 404, 1004)(412, 1012, 562, 1162, 544, 1144, 441, 1041)(418, 1018, 566, 1166, 541, 1141, 567, 1167)(424, 1024, 569, 1169, 570, 1170, 425, 1025)(427, 1027, 536, 1136, 494, 1094, 571, 1171)(431, 1031, 574, 1174, 550, 1150, 575, 1175)(440, 1040, 449, 1049, 485, 1085, 561, 1161)(446, 1046, 545, 1145, 564, 1164, 582, 1182)(447, 1047, 471, 1071, 470, 1070, 448, 1048)(452, 1052, 585, 1185, 578, 1178, 500, 1100)(458, 1058, 579, 1179, 586, 1186, 459, 1059)(469, 1069, 589, 1189, 477, 1077, 486, 1086)(473, 1073, 560, 1160, 565, 1165, 556, 1156)(474, 1074, 590, 1190, 529, 1129, 475, 1075)(476, 1076, 568, 1168, 540, 1140, 517, 1117)(478, 1078, 520, 1120, 587, 1187, 591, 1191)(481, 1081, 515, 1115, 514, 1114, 490, 1090)(484, 1084, 593, 1193, 505, 1105, 503, 1103)(501, 1101, 581, 1181, 576, 1176, 502, 1102)(535, 1135, 597, 1197, 588, 1188, 594, 1194)(557, 1157, 598, 1198, 599, 1199, 596, 1196)(558, 1158, 583, 1183, 572, 1172, 559, 1159)
	L = (1, 602)(2, 604)(3, 608)(4, 601)(5, 613)(6, 615)(7, 618)(8, 610)(9, 622)(10, 603)(11, 626)(12, 629)(13, 614)(14, 605)(15, 617)(16, 634)(17, 606)(18, 619)(19, 607)(20, 612)(21, 642)(22, 623)(23, 609)(24, 648)(25, 651)(26, 628)(27, 653)(28, 611)(29, 620)(30, 647)(31, 661)(32, 663)(33, 665)(34, 635)(35, 616)(36, 671)(37, 674)(38, 670)(39, 677)(40, 679)(41, 681)(42, 643)(43, 621)(44, 625)(45, 687)(46, 689)(47, 660)(48, 650)(49, 693)(50, 624)(51, 644)(52, 699)(53, 654)(54, 627)(55, 705)(56, 708)(57, 704)(58, 711)(59, 713)(60, 630)(61, 662)(62, 631)(63, 664)(64, 632)(65, 666)(66, 633)(67, 637)(68, 727)(69, 729)(70, 676)(71, 673)(72, 733)(73, 636)(74, 667)(75, 739)(76, 638)(77, 678)(78, 639)(79, 680)(80, 640)(81, 682)(82, 641)(83, 751)(84, 754)(85, 756)(86, 758)(87, 688)(88, 645)(89, 691)(90, 764)(91, 646)(92, 768)(93, 694)(94, 649)(95, 774)(96, 776)(97, 773)(98, 779)(99, 700)(100, 652)(101, 656)(102, 785)(103, 787)(104, 710)(105, 707)(106, 791)(107, 655)(108, 701)(109, 797)(110, 657)(111, 712)(112, 658)(113, 714)(114, 659)(115, 808)(116, 811)(117, 807)(118, 793)(119, 815)(120, 817)(121, 819)(122, 822)(123, 722)(124, 824)(125, 826)(126, 828)(127, 728)(128, 668)(129, 731)(130, 834)(131, 669)(132, 838)(133, 734)(134, 672)(135, 844)(136, 846)(137, 843)(138, 849)(139, 740)(140, 675)(141, 855)(142, 858)(143, 854)(144, 695)(145, 861)(146, 863)(147, 865)(148, 868)(149, 869)(150, 871)(151, 753)(152, 874)(153, 683)(154, 755)(155, 684)(156, 757)(157, 685)(158, 759)(159, 686)(160, 886)(161, 889)(162, 891)(163, 893)(164, 765)(165, 690)(166, 898)(167, 900)(168, 769)(169, 692)(170, 696)(171, 905)(172, 907)(173, 778)(174, 744)(175, 910)(176, 770)(177, 914)(178, 697)(179, 780)(180, 698)(181, 748)(182, 922)(183, 924)(184, 926)(185, 786)(186, 702)(187, 789)(188, 932)(189, 703)(190, 936)(191, 792)(192, 706)(193, 814)(194, 943)(195, 941)(196, 946)(197, 798)(198, 709)(199, 952)(200, 954)(201, 951)(202, 735)(203, 957)(204, 716)(205, 960)(206, 962)(207, 813)(208, 810)(209, 966)(210, 715)(211, 804)(212, 971)(213, 717)(214, 718)(215, 816)(216, 719)(217, 818)(218, 720)(219, 821)(220, 982)(221, 721)(222, 723)(223, 987)(224, 825)(225, 724)(226, 827)(227, 725)(228, 829)(229, 726)(230, 995)(231, 877)(232, 998)(233, 1000)(234, 835)(235, 730)(236, 1004)(237, 1005)(238, 839)(239, 732)(240, 736)(241, 920)(242, 1010)(243, 848)(244, 802)(245, 1013)(246, 840)(247, 1017)(248, 737)(249, 850)(250, 738)(251, 742)(252, 1023)(253, 1025)(254, 860)(255, 857)(256, 976)(257, 741)(258, 851)(259, 1031)(260, 743)(261, 862)(262, 745)(263, 864)(264, 746)(265, 867)(266, 1040)(267, 747)(268, 781)(269, 870)(270, 749)(271, 873)(272, 1046)(273, 750)(274, 875)(275, 752)(276, 1048)(277, 997)(278, 978)(279, 766)(280, 1051)(281, 1053)(282, 1054)(283, 942)(284, 1057)(285, 1059)(286, 888)(287, 1061)(288, 760)(289, 890)(290, 761)(291, 892)(292, 762)(293, 894)(294, 763)(295, 767)(296, 1069)(297, 1071)(298, 879)(299, 1072)(300, 895)(301, 883)(302, 1073)(303, 1075)(304, 1077)(305, 906)(306, 771)(307, 909)(308, 1080)(309, 772)(310, 911)(311, 775)(312, 1083)(313, 1085)(314, 915)(315, 777)(316, 1090)(317, 1092)(318, 1089)(319, 799)(320, 1009)(321, 887)(322, 923)(323, 782)(324, 925)(325, 783)(326, 927)(327, 784)(328, 1099)(329, 986)(330, 1102)(331, 963)(332, 933)(333, 788)(334, 1105)(335, 899)(336, 937)(337, 790)(338, 794)(339, 1022)(340, 897)(341, 945)(342, 901)(343, 938)(344, 885)(345, 795)(346, 947)(347, 796)(348, 800)(349, 959)(350, 1115)(351, 956)(352, 919)(353, 1034)(354, 948)(355, 1120)(356, 801)(357, 958)(358, 803)(359, 1114)(360, 961)(361, 805)(362, 964)(363, 1103)(364, 806)(365, 939)(366, 967)(367, 809)(368, 1129)(369, 1128)(370, 916)(371, 972)(372, 812)(373, 930)(374, 1134)(375, 1135)(376, 1027)(377, 878)(378, 977)(379, 1138)(380, 1118)(381, 1141)(382, 983)(383, 820)(384, 1144)(385, 1143)(386, 1101)(387, 988)(388, 823)(389, 1036)(390, 836)(391, 1147)(392, 1060)(393, 1148)(394, 1150)(395, 996)(396, 830)(397, 831)(398, 999)(399, 832)(400, 1001)(401, 833)(402, 837)(403, 1156)(404, 990)(405, 1002)(406, 1157)(407, 1159)(408, 1160)(409, 841)(410, 1012)(411, 1161)(412, 842)(413, 1014)(414, 845)(415, 1163)(416, 1164)(417, 1018)(418, 847)(419, 1124)(420, 881)(421, 1167)(422, 965)(423, 1024)(424, 852)(425, 1026)(426, 853)(427, 856)(428, 1172)(429, 1171)(430, 1019)(431, 1032)(432, 859)(433, 1176)(434, 1117)(435, 989)(436, 1035)(437, 1178)(438, 969)(439, 1179)(440, 1041)(441, 866)(442, 1123)(443, 1063)(444, 1029)(445, 1180)(446, 1047)(447, 872)(448, 1049)(449, 876)(450, 1183)(451, 1052)(452, 880)(453, 1020)(454, 1056)(455, 1154)(456, 882)(457, 1058)(458, 884)(459, 944)(460, 1112)(461, 921)(462, 991)(463, 1173)(464, 981)(465, 1187)(466, 1153)(467, 1015)(468, 1146)(469, 1070)(470, 896)(471, 940)(472, 935)(473, 1074)(474, 902)(475, 1076)(476, 903)(477, 1078)(478, 904)(479, 1191)(480, 1081)(481, 908)(482, 1003)(483, 1084)(484, 912)(485, 1086)(486, 913)(487, 917)(488, 994)(489, 1094)(490, 970)(491, 1185)(492, 1087)(493, 1194)(494, 918)(495, 1042)(496, 934)(497, 1193)(498, 1091)(499, 1100)(500, 928)(501, 929)(502, 973)(503, 931)(504, 1196)(505, 1096)(506, 1189)(507, 1198)(508, 1182)(509, 1055)(510, 1192)(511, 1169)(512, 992)(513, 1186)(514, 949)(515, 1116)(516, 950)(517, 953)(518, 1140)(519, 1111)(520, 1121)(521, 955)(522, 1065)(523, 1095)(524, 1030)(525, 1011)(526, 968)(527, 1007)(528, 1038)(529, 1126)(530, 1037)(531, 974)(532, 1008)(533, 1066)(534, 1131)(535, 1136)(536, 975)(537, 1028)(538, 1139)(539, 979)(540, 980)(541, 1064)(542, 984)(543, 1145)(544, 1142)(545, 985)(546, 1188)(547, 1062)(548, 1149)(549, 993)(550, 1088)(551, 1097)(552, 1039)(553, 1133)(554, 1109)(555, 1195)(556, 1082)(557, 1158)(558, 1006)(559, 1127)(560, 1132)(561, 1125)(562, 1104)(563, 1067)(564, 1165)(565, 1016)(566, 1079)(567, 1168)(568, 1021)(569, 1119)(570, 1108)(571, 1044)(572, 1137)(573, 1043)(574, 1033)(575, 1107)(576, 1174)(577, 1093)(578, 1130)(579, 1152)(580, 1181)(581, 1045)(582, 1170)(583, 1184)(584, 1050)(585, 1098)(586, 1200)(587, 1122)(588, 1068)(589, 1197)(590, 1155)(591, 1166)(592, 1199)(593, 1151)(594, 1177)(595, 1190)(596, 1162)(597, 1106)(598, 1175)(599, 1110)(600, 1113)
	local type(s) :: { ( 3^8 ) }
Outer automorphisms :: reflexible
Dual of E26.1524
Transitivity :: ET+ VT+
Graph:: simple
	v = 150 e = 600 f = 400
	degree seq :: [ 8^150 ]

E26.1526 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 4})
Quotient :: edge^2
Aut^+ = $<600, 150>$ (small group id <600, 150>)
Aut   = $<1200, 947>$ (small group id <1200, 947>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^-1 * Y3^-1 * Y2^-1, Y1^3, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y3^4, Y3 * Y2^-1 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 * Y3 * Y2 * Y3^-1 * Y1^-1, Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1 * Y2^-1)^4, Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y2^-1, Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^2 * Y1^-1, Y1 * Y3 * Y2 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y1 * Y2^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 601, 4, 604, 15, 615, 7, 607)(2, 602, 8, 608, 24, 624, 10, 610)(3, 603, 5, 605, 18, 618, 13, 613)(6, 606, 12, 612, 33, 633, 20, 620)(9, 609, 22, 622, 52, 652, 27, 627)(11, 611, 30, 630, 69, 669, 32, 632)(14, 614, 16, 616, 42, 642, 39, 639)(17, 617, 38, 638, 85, 685, 44, 644)(19, 619, 29, 629, 66, 666, 47, 647)(21, 621, 50, 650, 109, 709, 51, 651)(23, 623, 25, 625, 59, 659, 56, 656)(26, 626, 55, 655, 119, 719, 61, 661)(28, 628, 64, 664, 137, 737, 65, 665)(31, 631, 36, 636, 80, 680, 72, 672)(34, 634, 74, 674, 156, 756, 77, 677)(35, 635, 78, 678, 165, 765, 79, 679)(37, 637, 82, 682, 173, 773, 84, 684)(40, 640, 41, 641, 91, 691, 90, 690)(43, 643, 49, 649, 106, 706, 95, 695)(45, 645, 46, 646, 100, 700, 99, 699)(48, 648, 104, 704, 215, 815, 105, 705)(53, 653, 112, 712, 230, 830, 115, 715)(54, 654, 116, 716, 239, 839, 118, 718)(57, 657, 58, 658, 125, 725, 124, 724)(60, 660, 63, 663, 134, 734, 129, 729)(62, 662, 132, 732, 270, 870, 133, 733)(67, 667, 140, 740, 285, 885, 143, 743)(68, 668, 70, 670, 149, 749, 146, 746)(71, 671, 145, 745, 296, 896, 151, 751)(73, 673, 154, 754, 313, 913, 155, 755)(75, 675, 76, 676, 160, 760, 159, 759)(81, 681, 168, 768, 337, 937, 171, 771)(83, 683, 88, 688, 184, 784, 176, 776)(86, 686, 178, 778, 354, 954, 181, 781)(87, 687, 182, 782, 361, 961, 183, 783)(89, 689, 186, 786, 224, 824, 108, 708)(92, 692, 97, 697, 201, 801, 192, 792)(93, 693, 94, 694, 195, 795, 194, 794)(96, 696, 199, 799, 390, 990, 200, 800)(98, 698, 203, 803, 331, 931, 164, 764)(101, 701, 103, 703, 212, 812, 209, 809)(102, 702, 210, 810, 408, 1008, 211, 811)(107, 707, 218, 818, 420, 1020, 221, 821)(110, 710, 223, 823, 430, 1030, 227, 827)(111, 711, 228, 828, 437, 1037, 229, 829)(113, 713, 114, 714, 234, 834, 233, 833)(117, 717, 122, 722, 250, 850, 242, 842)(120, 720, 244, 844, 303, 903, 247, 847)(121, 721, 248, 848, 456, 1056, 249, 849)(123, 723, 252, 852, 279, 879, 136, 736)(126, 726, 131, 731, 267, 867, 258, 858)(127, 727, 128, 728, 261, 861, 260, 860)(130, 730, 265, 865, 474, 1074, 266, 866)(135, 735, 273, 873, 481, 1081, 276, 876)(138, 738, 278, 878, 490, 1090, 282, 882)(139, 739, 283, 883, 385, 985, 284, 884)(141, 741, 142, 742, 289, 889, 288, 888)(144, 744, 293, 893, 502, 1102, 295, 895)(147, 747, 148, 748, 302, 902, 301, 901)(150, 750, 153, 753, 310, 910, 306, 906)(152, 752, 308, 908, 428, 1028, 309, 909)(157, 757, 262, 862, 264, 864, 317, 917)(158, 758, 318, 918, 272, 872, 214, 814)(161, 761, 163, 763, 327, 927, 324, 924)(162, 762, 325, 925, 529, 1129, 326, 926)(166, 766, 330, 930, 435, 1035, 334, 934)(167, 767, 335, 935, 355, 955, 336, 936)(169, 769, 170, 770, 341, 941, 340, 940)(172, 772, 174, 774, 350, 950, 347, 947)(175, 775, 346, 946, 543, 1143, 352, 952)(177, 777, 353, 953, 304, 904, 305, 905)(179, 779, 180, 780, 357, 957, 356, 956)(185, 785, 363, 963, 297, 897, 366, 966)(187, 787, 189, 789, 373, 973, 370, 970)(188, 788, 371, 971, 488, 1088, 372, 972)(190, 790, 191, 791, 377, 977, 376, 976)(193, 793, 381, 981, 552, 1152, 360, 960)(196, 796, 198, 798, 388, 988, 286, 886)(197, 797, 386, 986, 533, 1133, 387, 987)(202, 802, 392, 992, 566, 1166, 395, 995)(204, 804, 206, 806, 364, 964, 365, 965)(205, 805, 393, 993, 394, 994, 399, 999)(207, 807, 208, 808, 403, 1003, 402, 1002)(213, 813, 411, 1011, 542, 1142, 345, 945)(216, 816, 415, 1015, 536, 1136, 418, 1018)(217, 817, 407, 1007, 287, 887, 419, 1019)(219, 819, 220, 820, 424, 1024, 423, 1023)(222, 822, 427, 1027, 547, 1147, 429, 1029)(225, 825, 226, 826, 434, 1034, 433, 1033)(231, 831, 404, 1004, 406, 1006, 440, 1040)(232, 832, 441, 1041, 410, 1010, 269, 869)(235, 835, 237, 837, 446, 1046, 443, 1043)(236, 836, 444, 1044, 582, 1182, 445, 1045)(238, 838, 240, 840, 449, 1049, 425, 1025)(241, 841, 426, 1026, 511, 1111, 451, 1051)(243, 843, 452, 1052, 367, 967, 368, 968)(245, 845, 246, 846, 454, 1054, 453, 1053)(251, 851, 458, 1058, 431, 1031, 351, 951)(253, 853, 255, 855, 464, 1064, 462, 1062)(254, 854, 463, 1063, 294, 894, 299, 899)(256, 856, 257, 857, 319, 919, 321, 921)(259, 859, 469, 1069, 540, 1140, 343, 943)(263, 863, 473, 1073, 348, 948, 349, 949)(268, 868, 476, 1076, 593, 1193, 477, 1077)(271, 871, 479, 1079, 358, 958, 359, 959)(274, 874, 275, 875, 485, 1085, 484, 1084)(277, 877, 328, 928, 531, 1131, 489, 1089)(280, 880, 281, 881, 494, 1094, 493, 1093)(290, 890, 292, 892, 501, 1101, 499, 1099)(291, 891, 314, 914, 516, 1116, 500, 1100)(298, 898, 506, 1106, 576, 1176, 465, 1065)(300, 900, 507, 1107, 517, 1117, 312, 912)(307, 907, 409, 1009, 571, 1171, 455, 1055)(311, 911, 369, 969, 555, 1155, 515, 1115)(315, 915, 316, 916, 519, 1119, 518, 1118)(320, 920, 412, 1012, 413, 1013, 522, 1122)(322, 922, 323, 923, 525, 1125, 524, 1124)(329, 929, 532, 1132, 459, 1059, 460, 1060)(332, 932, 333, 933, 535, 1135, 534, 1134)(338, 938, 526, 1126, 528, 1128, 537, 1137)(339, 939, 538, 1138, 530, 1130, 512, 1112)(342, 942, 344, 944, 541, 1141, 539, 1139)(362, 962, 436, 1036, 432, 1032, 553, 1153)(374, 974, 461, 1061, 544, 1144, 557, 1157)(375, 975, 558, 1158, 583, 1183, 527, 1127)(378, 978, 380, 980, 560, 1160, 421, 1021)(379, 979, 401, 1001, 568, 1168, 559, 1159)(382, 982, 384, 984, 509, 1109, 556, 1156)(383, 983, 438, 1038, 439, 1039, 561, 1161)(389, 989, 398, 998, 487, 1087, 554, 1154)(391, 991, 562, 1162, 422, 1022, 442, 1042)(396, 996, 397, 997, 503, 1103, 486, 1086)(400, 1000, 567, 1167, 491, 1091, 450, 1050)(405, 1005, 523, 1123, 447, 1047, 448, 1048)(414, 1014, 480, 1080, 595, 1195, 572, 1172)(416, 1016, 417, 1017, 575, 1175, 574, 1174)(457, 1057, 495, 1095, 492, 1092, 588, 1188)(466, 1066, 545, 1145, 598, 1198, 581, 1181)(467, 1067, 468, 1068, 590, 1190, 482, 1082)(470, 1070, 472, 1072, 578, 1178, 589, 1189)(471, 1071, 496, 1096, 497, 1097, 591, 1191)(475, 1075, 592, 1192, 483, 1083, 498, 1098)(478, 1078, 504, 1104, 505, 1105, 594, 1194)(508, 1108, 510, 1110, 599, 1199, 573, 1173)(513, 1113, 514, 1114, 569, 1169, 570, 1170)(520, 1120, 521, 1121, 563, 1163, 585, 1185)(546, 1146, 600, 1200, 580, 1180, 548, 1148)(549, 1149, 564, 1164, 565, 1165, 584, 1184)(550, 1150, 551, 1151, 577, 1177, 579, 1179)(586, 1186, 587, 1187, 596, 1196, 597, 1197)(1201, 1202, 1205)(1203, 1211, 1212)(1204, 1206, 1216)(1207, 1221, 1222)(1208, 1209, 1225)(1210, 1228, 1229)(1213, 1235, 1236)(1214, 1237, 1238)(1215, 1217, 1241)(1218, 1219, 1246)(1220, 1248, 1249)(1223, 1254, 1255)(1224, 1226, 1258)(1227, 1262, 1263)(1230, 1231, 1270)(1232, 1273, 1274)(1233, 1234, 1276)(1239, 1287, 1288)(1240, 1289, 1250)(1242, 1243, 1294)(1244, 1296, 1297)(1245, 1298, 1278)(1247, 1302, 1303)(1251, 1311, 1312)(1252, 1253, 1314)(1256, 1321, 1322)(1257, 1323, 1264)(1259, 1260, 1328)(1261, 1330, 1331)(1265, 1339, 1340)(1266, 1267, 1342)(1268, 1344, 1345)(1269, 1271, 1348)(1272, 1352, 1353)(1275, 1358, 1304)(1277, 1362, 1363)(1279, 1367, 1368)(1280, 1281, 1370)(1282, 1283, 1374)(1284, 1377, 1378)(1285, 1286, 1380)(1290, 1388, 1389)(1291, 1292, 1391)(1293, 1393, 1382)(1295, 1397, 1398)(1299, 1405, 1406)(1300, 1301, 1408)(1305, 1417, 1418)(1306, 1307, 1420)(1308, 1422, 1423)(1309, 1310, 1426)(1313, 1432, 1332)(1315, 1436, 1437)(1316, 1317, 1440)(1318, 1443, 1444)(1319, 1320, 1446)(1324, 1454, 1455)(1325, 1326, 1457)(1327, 1459, 1448)(1329, 1463, 1464)(1333, 1472, 1473)(1334, 1335, 1475)(1336, 1477, 1478)(1337, 1338, 1481)(1341, 1487, 1410)(1343, 1491, 1492)(1346, 1498, 1499)(1347, 1500, 1354)(1349, 1350, 1505)(1351, 1507, 1447)(1355, 1461, 1462)(1356, 1357, 1516)(1359, 1520, 1521)(1360, 1361, 1523)(1364, 1529, 1530)(1365, 1366, 1533)(1369, 1539, 1508)(1371, 1543, 1544)(1372, 1545, 1546)(1373, 1375, 1549)(1376, 1450, 1451)(1379, 1555, 1399)(1381, 1482, 1559)(1383, 1562, 1563)(1384, 1385, 1565)(1386, 1387, 1568)(1390, 1575, 1571)(1392, 1579, 1580)(1394, 1583, 1584)(1395, 1396, 1484)(1400, 1591, 1592)(1401, 1402, 1594)(1403, 1404, 1597)(1407, 1601, 1593)(1409, 1605, 1606)(1411, 1610, 1611)(1412, 1413, 1613)(1414, 1614, 1615)(1415, 1416, 1617)(1419, 1622, 1586)(1421, 1626, 1438)(1424, 1569, 1509)(1425, 1632, 1428)(1427, 1618, 1534)(1429, 1603, 1604)(1430, 1431, 1639)(1433, 1623, 1540)(1434, 1435, 1642)(1439, 1441, 1648)(1442, 1564, 1600)(1445, 1590, 1465)(1449, 1657, 1658)(1452, 1453, 1660)(1456, 1666, 1663)(1458, 1560, 1668)(1460, 1671, 1672)(1466, 1675, 1676)(1467, 1468, 1561)(1469, 1678, 1679)(1470, 1471, 1680)(1474, 1683, 1673)(1476, 1687, 1596)(1479, 1661, 1572)(1480, 1692, 1483)(1485, 1486, 1697)(1488, 1684, 1576)(1489, 1490, 1698)(1493, 1494, 1646)(1495, 1703, 1566)(1496, 1497, 1705)(1501, 1709, 1710)(1502, 1503, 1570)(1504, 1711, 1706)(1506, 1694, 1554)(1510, 1511, 1714)(1512, 1595, 1716)(1513, 1514, 1696)(1515, 1637, 1525)(1517, 1552, 1721)(1518, 1519, 1667)(1522, 1723, 1612)(1524, 1727, 1728)(1526, 1730, 1731)(1527, 1528, 1688)(1531, 1598, 1587)(1532, 1674, 1535)(1536, 1725, 1726)(1537, 1538, 1656)(1541, 1542, 1641)(1547, 1745, 1722)(1548, 1746, 1553)(1550, 1551, 1629)(1556, 1749, 1724)(1557, 1558, 1751)(1567, 1754, 1755)(1573, 1574, 1756)(1577, 1578, 1619)(1581, 1582, 1741)(1585, 1644, 1638)(1588, 1589, 1765)(1599, 1717, 1767)(1602, 1718, 1770)(1607, 1616, 1771)(1608, 1609, 1704)(1620, 1621, 1776)(1624, 1625, 1738)(1627, 1628, 1701)(1630, 1631, 1775)(1633, 1778, 1779)(1634, 1635, 1662)(1636, 1677, 1729)(1640, 1651, 1748)(1643, 1781, 1766)(1645, 1783, 1702)(1647, 1784, 1652)(1649, 1650, 1689)(1653, 1785, 1762)(1654, 1655, 1787)(1659, 1743, 1744)(1664, 1665, 1789)(1669, 1670, 1760)(1681, 1682, 1715)(1685, 1686, 1758)(1690, 1691, 1795)(1693, 1713, 1797)(1695, 1737, 1782)(1699, 1712, 1793)(1700, 1798, 1747)(1707, 1708, 1772)(1719, 1720, 1786)(1732, 1733, 1763)(1734, 1800, 1792)(1735, 1736, 1773)(1739, 1757, 1742)(1740, 1759, 1752)(1750, 1791, 1764)(1753, 1777, 1794)(1761, 1780, 1799)(1768, 1769, 1790)(1774, 1788, 1796)(1801, 1803, 1806)(1802, 1807, 1809)(1804, 1814, 1817)(1805, 1810, 1819)(1808, 1823, 1826)(1811, 1813, 1831)(1812, 1832, 1834)(1815, 1840, 1821)(1816, 1820, 1843)(1818, 1845, 1835)(1822, 1851, 1853)(1824, 1857, 1828)(1825, 1827, 1860)(1829, 1865, 1867)(1830, 1868, 1871)(1833, 1875, 1848)(1836, 1879, 1881)(1837, 1839, 1883)(1838, 1884, 1886)(1841, 1844, 1892)(1842, 1893, 1887)(1846, 1847, 1901)(1849, 1905, 1907)(1850, 1908, 1910)(1852, 1913, 1862)(1854, 1856, 1917)(1855, 1918, 1920)(1858, 1861, 1926)(1859, 1927, 1921)(1863, 1933, 1935)(1864, 1936, 1938)(1866, 1941, 1902)(1869, 1947, 1873)(1870, 1872, 1950)(1874, 1955, 1957)(1876, 1877, 1961)(1878, 1964, 1966)(1880, 1969, 1952)(1882, 1972, 1975)(1885, 1979, 1896)(1888, 1983, 1985)(1889, 1890, 1987)(1891, 1990, 1988)(1894, 1895, 1996)(1897, 2000, 2002)(1898, 1899, 2004)(1900, 2007, 2005)(1903, 2011, 2013)(1904, 2014, 2016)(1906, 2019, 1997)(1909, 2025, 1911)(1912, 2029, 2031)(1914, 1915, 2035)(1916, 2038, 2041)(1919, 2045, 1930)(1922, 2049, 2051)(1923, 1924, 2053)(1925, 2056, 2054)(1928, 1929, 2062)(1931, 2066, 2068)(1932, 2069, 2071)(1934, 2074, 2063)(1937, 2080, 1939)(1940, 2084, 2086)(1942, 1943, 2090)(1944, 1946, 2094)(1945, 2095, 2097)(1948, 1951, 2103)(1949, 2104, 2098)(1953, 2109, 2111)(1954, 2112, 2114)(1956, 2115, 1962)(1958, 1959, 2119)(1960, 2122, 2120)(1963, 2126, 2128)(1965, 2132, 1967)(1968, 2136, 2138)(1970, 1971, 2142)(1973, 2148, 1977)(1974, 1976, 2151)(1978, 2105, 2106)(1980, 1981, 2158)(1982, 2160, 2067)(1984, 2164, 2050)(1986, 2167, 2169)(1989, 2172, 2174)(1991, 1992, 2178)(1993, 1994, 2182)(1995, 2185, 2183)(1998, 2187, 2189)(1999, 2135, 2065)(2001, 2193, 2179)(2003, 2196, 2198)(2006, 2199, 2200)(2008, 2009, 2204)(2010, 2207, 2209)(2012, 2212, 2205)(2015, 2216, 2017)(2018, 2219, 2221)(2020, 2021, 2225)(2022, 2024, 2228)(2023, 2229, 2231)(2026, 2027, 2235)(2028, 2236, 2125)(2030, 2238, 2036)(2032, 2033, 2141)(2034, 2222, 2223)(2037, 2245, 2093)(2039, 2247, 2043)(2040, 2042, 2250)(2044, 2168, 2170)(2046, 2047, 2255)(2048, 2143, 2137)(2052, 2259, 2261)(2055, 2099, 2265)(2057, 2058, 2267)(2059, 2060, 2270)(2061, 2113, 2271)(2064, 2149, 2152)(2070, 2214, 2072)(2073, 2118, 2282)(2075, 2076, 2286)(2077, 2079, 2288)(2078, 2289, 2291)(2081, 2082, 2154)(2083, 2295, 2244)(2085, 2296, 2091)(2087, 2088, 2177)(2089, 2283, 2284)(2092, 2300, 2227)(2096, 2304, 2107)(2100, 2101, 2308)(2102, 2173, 2309)(2108, 2312, 2301)(2110, 2313, 2294)(2116, 2117, 2320)(2121, 2322, 2266)(2123, 2124, 2326)(2127, 2171, 2327)(2129, 2131, 2333)(2130, 2260, 2262)(2133, 2134, 2336)(2139, 2140, 2224)(2144, 2340, 2181)(2145, 2147, 2213)(2146, 2342, 2344)(2150, 2347, 2345)(2153, 2348, 2311)(2155, 2156, 2325)(2157, 2350, 2349)(2159, 2290, 2280)(2161, 2277, 2162)(2163, 2353, 2305)(2165, 2166, 2197)(2175, 2176, 2285)(2180, 2359, 2269)(2184, 2361, 2310)(2186, 2362, 2363)(2188, 2364, 2297)(2190, 2253, 2191)(2192, 2242, 2243)(2194, 2195, 2317)(2201, 2202, 2369)(2203, 2237, 2318)(2206, 2248, 2251)(2208, 2278, 2210)(2211, 2241, 2339)(2215, 2372, 2373)(2217, 2218, 2230)(2220, 2306, 2226)(2232, 2233, 2377)(2234, 2264, 2378)(2239, 2240, 2380)(2246, 2263, 2381)(2249, 2331, 2338)(2252, 2365, 2354)(2254, 2386, 2385)(2256, 2337, 2257)(2258, 2388, 2375)(2268, 2352, 2368)(2272, 2391, 2379)(2273, 2392, 2346)(2274, 2334, 2275)(2276, 2298, 2299)(2279, 2394, 2351)(2281, 2355, 2287)(2292, 2293, 2396)(2302, 2358, 2303)(2307, 2395, 2367)(2314, 2315, 2390)(2316, 2366, 2398)(2319, 2397, 2370)(2321, 2343, 2332)(2323, 2324, 2384)(2328, 2383, 2382)(2329, 2393, 2330)(2335, 2399, 2400)(2341, 2356, 2357)(2360, 2389, 2376)(2371, 2374, 2387)
	L = (1, 1201)(2, 1202)(3, 1203)(4, 1204)(5, 1205)(6, 1206)(7, 1207)(8, 1208)(9, 1209)(10, 1210)(11, 1211)(12, 1212)(13, 1213)(14, 1214)(15, 1215)(16, 1216)(17, 1217)(18, 1218)(19, 1219)(20, 1220)(21, 1221)(22, 1222)(23, 1223)(24, 1224)(25, 1225)(26, 1226)(27, 1227)(28, 1228)(29, 1229)(30, 1230)(31, 1231)(32, 1232)(33, 1233)(34, 1234)(35, 1235)(36, 1236)(37, 1237)(38, 1238)(39, 1239)(40, 1240)(41, 1241)(42, 1242)(43, 1243)(44, 1244)(45, 1245)(46, 1246)(47, 1247)(48, 1248)(49, 1249)(50, 1250)(51, 1251)(52, 1252)(53, 1253)(54, 1254)(55, 1255)(56, 1256)(57, 1257)(58, 1258)(59, 1259)(60, 1260)(61, 1261)(62, 1262)(63, 1263)(64, 1264)(65, 1265)(66, 1266)(67, 1267)(68, 1268)(69, 1269)(70, 1270)(71, 1271)(72, 1272)(73, 1273)(74, 1274)(75, 1275)(76, 1276)(77, 1277)(78, 1278)(79, 1279)(80, 1280)(81, 1281)(82, 1282)(83, 1283)(84, 1284)(85, 1285)(86, 1286)(87, 1287)(88, 1288)(89, 1289)(90, 1290)(91, 1291)(92, 1292)(93, 1293)(94, 1294)(95, 1295)(96, 1296)(97, 1297)(98, 1298)(99, 1299)(100, 1300)(101, 1301)(102, 1302)(103, 1303)(104, 1304)(105, 1305)(106, 1306)(107, 1307)(108, 1308)(109, 1309)(110, 1310)(111, 1311)(112, 1312)(113, 1313)(114, 1314)(115, 1315)(116, 1316)(117, 1317)(118, 1318)(119, 1319)(120, 1320)(121, 1321)(122, 1322)(123, 1323)(124, 1324)(125, 1325)(126, 1326)(127, 1327)(128, 1328)(129, 1329)(130, 1330)(131, 1331)(132, 1332)(133, 1333)(134, 1334)(135, 1335)(136, 1336)(137, 1337)(138, 1338)(139, 1339)(140, 1340)(141, 1341)(142, 1342)(143, 1343)(144, 1344)(145, 1345)(146, 1346)(147, 1347)(148, 1348)(149, 1349)(150, 1350)(151, 1351)(152, 1352)(153, 1353)(154, 1354)(155, 1355)(156, 1356)(157, 1357)(158, 1358)(159, 1359)(160, 1360)(161, 1361)(162, 1362)(163, 1363)(164, 1364)(165, 1365)(166, 1366)(167, 1367)(168, 1368)(169, 1369)(170, 1370)(171, 1371)(172, 1372)(173, 1373)(174, 1374)(175, 1375)(176, 1376)(177, 1377)(178, 1378)(179, 1379)(180, 1380)(181, 1381)(182, 1382)(183, 1383)(184, 1384)(185, 1385)(186, 1386)(187, 1387)(188, 1388)(189, 1389)(190, 1390)(191, 1391)(192, 1392)(193, 1393)(194, 1394)(195, 1395)(196, 1396)(197, 1397)(198, 1398)(199, 1399)(200, 1400)(201, 1401)(202, 1402)(203, 1403)(204, 1404)(205, 1405)(206, 1406)(207, 1407)(208, 1408)(209, 1409)(210, 1410)(211, 1411)(212, 1412)(213, 1413)(214, 1414)(215, 1415)(216, 1416)(217, 1417)(218, 1418)(219, 1419)(220, 1420)(221, 1421)(222, 1422)(223, 1423)(224, 1424)(225, 1425)(226, 1426)(227, 1427)(228, 1428)(229, 1429)(230, 1430)(231, 1431)(232, 1432)(233, 1433)(234, 1434)(235, 1435)(236, 1436)(237, 1437)(238, 1438)(239, 1439)(240, 1440)(241, 1441)(242, 1442)(243, 1443)(244, 1444)(245, 1445)(246, 1446)(247, 1447)(248, 1448)(249, 1449)(250, 1450)(251, 1451)(252, 1452)(253, 1453)(254, 1454)(255, 1455)(256, 1456)(257, 1457)(258, 1458)(259, 1459)(260, 1460)(261, 1461)(262, 1462)(263, 1463)(264, 1464)(265, 1465)(266, 1466)(267, 1467)(268, 1468)(269, 1469)(270, 1470)(271, 1471)(272, 1472)(273, 1473)(274, 1474)(275, 1475)(276, 1476)(277, 1477)(278, 1478)(279, 1479)(280, 1480)(281, 1481)(282, 1482)(283, 1483)(284, 1484)(285, 1485)(286, 1486)(287, 1487)(288, 1488)(289, 1489)(290, 1490)(291, 1491)(292, 1492)(293, 1493)(294, 1494)(295, 1495)(296, 1496)(297, 1497)(298, 1498)(299, 1499)(300, 1500)(301, 1501)(302, 1502)(303, 1503)(304, 1504)(305, 1505)(306, 1506)(307, 1507)(308, 1508)(309, 1509)(310, 1510)(311, 1511)(312, 1512)(313, 1513)(314, 1514)(315, 1515)(316, 1516)(317, 1517)(318, 1518)(319, 1519)(320, 1520)(321, 1521)(322, 1522)(323, 1523)(324, 1524)(325, 1525)(326, 1526)(327, 1527)(328, 1528)(329, 1529)(330, 1530)(331, 1531)(332, 1532)(333, 1533)(334, 1534)(335, 1535)(336, 1536)(337, 1537)(338, 1538)(339, 1539)(340, 1540)(341, 1541)(342, 1542)(343, 1543)(344, 1544)(345, 1545)(346, 1546)(347, 1547)(348, 1548)(349, 1549)(350, 1550)(351, 1551)(352, 1552)(353, 1553)(354, 1554)(355, 1555)(356, 1556)(357, 1557)(358, 1558)(359, 1559)(360, 1560)(361, 1561)(362, 1562)(363, 1563)(364, 1564)(365, 1565)(366, 1566)(367, 1567)(368, 1568)(369, 1569)(370, 1570)(371, 1571)(372, 1572)(373, 1573)(374, 1574)(375, 1575)(376, 1576)(377, 1577)(378, 1578)(379, 1579)(380, 1580)(381, 1581)(382, 1582)(383, 1583)(384, 1584)(385, 1585)(386, 1586)(387, 1587)(388, 1588)(389, 1589)(390, 1590)(391, 1591)(392, 1592)(393, 1593)(394, 1594)(395, 1595)(396, 1596)(397, 1597)(398, 1598)(399, 1599)(400, 1600)(401, 1601)(402, 1602)(403, 1603)(404, 1604)(405, 1605)(406, 1606)(407, 1607)(408, 1608)(409, 1609)(410, 1610)(411, 1611)(412, 1612)(413, 1613)(414, 1614)(415, 1615)(416, 1616)(417, 1617)(418, 1618)(419, 1619)(420, 1620)(421, 1621)(422, 1622)(423, 1623)(424, 1624)(425, 1625)(426, 1626)(427, 1627)(428, 1628)(429, 1629)(430, 1630)(431, 1631)(432, 1632)(433, 1633)(434, 1634)(435, 1635)(436, 1636)(437, 1637)(438, 1638)(439, 1639)(440, 1640)(441, 1641)(442, 1642)(443, 1643)(444, 1644)(445, 1645)(446, 1646)(447, 1647)(448, 1648)(449, 1649)(450, 1650)(451, 1651)(452, 1652)(453, 1653)(454, 1654)(455, 1655)(456, 1656)(457, 1657)(458, 1658)(459, 1659)(460, 1660)(461, 1661)(462, 1662)(463, 1663)(464, 1664)(465, 1665)(466, 1666)(467, 1667)(468, 1668)(469, 1669)(470, 1670)(471, 1671)(472, 1672)(473, 1673)(474, 1674)(475, 1675)(476, 1676)(477, 1677)(478, 1678)(479, 1679)(480, 1680)(481, 1681)(482, 1682)(483, 1683)(484, 1684)(485, 1685)(486, 1686)(487, 1687)(488, 1688)(489, 1689)(490, 1690)(491, 1691)(492, 1692)(493, 1693)(494, 1694)(495, 1695)(496, 1696)(497, 1697)(498, 1698)(499, 1699)(500, 1700)(501, 1701)(502, 1702)(503, 1703)(504, 1704)(505, 1705)(506, 1706)(507, 1707)(508, 1708)(509, 1709)(510, 1710)(511, 1711)(512, 1712)(513, 1713)(514, 1714)(515, 1715)(516, 1716)(517, 1717)(518, 1718)(519, 1719)(520, 1720)(521, 1721)(522, 1722)(523, 1723)(524, 1724)(525, 1725)(526, 1726)(527, 1727)(528, 1728)(529, 1729)(530, 1730)(531, 1731)(532, 1732)(533, 1733)(534, 1734)(535, 1735)(536, 1736)(537, 1737)(538, 1738)(539, 1739)(540, 1740)(541, 1741)(542, 1742)(543, 1743)(544, 1744)(545, 1745)(546, 1746)(547, 1747)(548, 1748)(549, 1749)(550, 1750)(551, 1751)(552, 1752)(553, 1753)(554, 1754)(555, 1755)(556, 1756)(557, 1757)(558, 1758)(559, 1759)(560, 1760)(561, 1761)(562, 1762)(563, 1763)(564, 1764)(565, 1765)(566, 1766)(567, 1767)(568, 1768)(569, 1769)(570, 1770)(571, 1771)(572, 1772)(573, 1773)(574, 1774)(575, 1775)(576, 1776)(577, 1777)(578, 1778)(579, 1779)(580, 1780)(581, 1781)(582, 1782)(583, 1783)(584, 1784)(585, 1785)(586, 1786)(587, 1787)(588, 1788)(589, 1789)(590, 1790)(591, 1791)(592, 1792)(593, 1793)(594, 1794)(595, 1795)(596, 1796)(597, 1797)(598, 1798)(599, 1799)(600, 1800)(601, 1801)(602, 1802)(603, 1803)(604, 1804)(605, 1805)(606, 1806)(607, 1807)(608, 1808)(609, 1809)(610, 1810)(611, 1811)(612, 1812)(613, 1813)(614, 1814)(615, 1815)(616, 1816)(617, 1817)(618, 1818)(619, 1819)(620, 1820)(621, 1821)(622, 1822)(623, 1823)(624, 1824)(625, 1825)(626, 1826)(627, 1827)(628, 1828)(629, 1829)(630, 1830)(631, 1831)(632, 1832)(633, 1833)(634, 1834)(635, 1835)(636, 1836)(637, 1837)(638, 1838)(639, 1839)(640, 1840)(641, 1841)(642, 1842)(643, 1843)(644, 1844)(645, 1845)(646, 1846)(647, 1847)(648, 1848)(649, 1849)(650, 1850)(651, 1851)(652, 1852)(653, 1853)(654, 1854)(655, 1855)(656, 1856)(657, 1857)(658, 1858)(659, 1859)(660, 1860)(661, 1861)(662, 1862)(663, 1863)(664, 1864)(665, 1865)(666, 1866)(667, 1867)(668, 1868)(669, 1869)(670, 1870)(671, 1871)(672, 1872)(673, 1873)(674, 1874)(675, 1875)(676, 1876)(677, 1877)(678, 1878)(679, 1879)(680, 1880)(681, 1881)(682, 1882)(683, 1883)(684, 1884)(685, 1885)(686, 1886)(687, 1887)(688, 1888)(689, 1889)(690, 1890)(691, 1891)(692, 1892)(693, 1893)(694, 1894)(695, 1895)(696, 1896)(697, 1897)(698, 1898)(699, 1899)(700, 1900)(701, 1901)(702, 1902)(703, 1903)(704, 1904)(705, 1905)(706, 1906)(707, 1907)(708, 1908)(709, 1909)(710, 1910)(711, 1911)(712, 1912)(713, 1913)(714, 1914)(715, 1915)(716, 1916)(717, 1917)(718, 1918)(719, 1919)(720, 1920)(721, 1921)(722, 1922)(723, 1923)(724, 1924)(725, 1925)(726, 1926)(727, 1927)(728, 1928)(729, 1929)(730, 1930)(731, 1931)(732, 1932)(733, 1933)(734, 1934)(735, 1935)(736, 1936)(737, 1937)(738, 1938)(739, 1939)(740, 1940)(741, 1941)(742, 1942)(743, 1943)(744, 1944)(745, 1945)(746, 1946)(747, 1947)(748, 1948)(749, 1949)(750, 1950)(751, 1951)(752, 1952)(753, 1953)(754, 1954)(755, 1955)(756, 1956)(757, 1957)(758, 1958)(759, 1959)(760, 1960)(761, 1961)(762, 1962)(763, 1963)(764, 1964)(765, 1965)(766, 1966)(767, 1967)(768, 1968)(769, 1969)(770, 1970)(771, 1971)(772, 1972)(773, 1973)(774, 1974)(775, 1975)(776, 1976)(777, 1977)(778, 1978)(779, 1979)(780, 1980)(781, 1981)(782, 1982)(783, 1983)(784, 1984)(785, 1985)(786, 1986)(787, 1987)(788, 1988)(789, 1989)(790, 1990)(791, 1991)(792, 1992)(793, 1993)(794, 1994)(795, 1995)(796, 1996)(797, 1997)(798, 1998)(799, 1999)(800, 2000)(801, 2001)(802, 2002)(803, 2003)(804, 2004)(805, 2005)(806, 2006)(807, 2007)(808, 2008)(809, 2009)(810, 2010)(811, 2011)(812, 2012)(813, 2013)(814, 2014)(815, 2015)(816, 2016)(817, 2017)(818, 2018)(819, 2019)(820, 2020)(821, 2021)(822, 2022)(823, 2023)(824, 2024)(825, 2025)(826, 2026)(827, 2027)(828, 2028)(829, 2029)(830, 2030)(831, 2031)(832, 2032)(833, 2033)(834, 2034)(835, 2035)(836, 2036)(837, 2037)(838, 2038)(839, 2039)(840, 2040)(841, 2041)(842, 2042)(843, 2043)(844, 2044)(845, 2045)(846, 2046)(847, 2047)(848, 2048)(849, 2049)(850, 2050)(851, 2051)(852, 2052)(853, 2053)(854, 2054)(855, 2055)(856, 2056)(857, 2057)(858, 2058)(859, 2059)(860, 2060)(861, 2061)(862, 2062)(863, 2063)(864, 2064)(865, 2065)(866, 2066)(867, 2067)(868, 2068)(869, 2069)(870, 2070)(871, 2071)(872, 2072)(873, 2073)(874, 2074)(875, 2075)(876, 2076)(877, 2077)(878, 2078)(879, 2079)(880, 2080)(881, 2081)(882, 2082)(883, 2083)(884, 2084)(885, 2085)(886, 2086)(887, 2087)(888, 2088)(889, 2089)(890, 2090)(891, 2091)(892, 2092)(893, 2093)(894, 2094)(895, 2095)(896, 2096)(897, 2097)(898, 2098)(899, 2099)(900, 2100)(901, 2101)(902, 2102)(903, 2103)(904, 2104)(905, 2105)(906, 2106)(907, 2107)(908, 2108)(909, 2109)(910, 2110)(911, 2111)(912, 2112)(913, 2113)(914, 2114)(915, 2115)(916, 2116)(917, 2117)(918, 2118)(919, 2119)(920, 2120)(921, 2121)(922, 2122)(923, 2123)(924, 2124)(925, 2125)(926, 2126)(927, 2127)(928, 2128)(929, 2129)(930, 2130)(931, 2131)(932, 2132)(933, 2133)(934, 2134)(935, 2135)(936, 2136)(937, 2137)(938, 2138)(939, 2139)(940, 2140)(941, 2141)(942, 2142)(943, 2143)(944, 2144)(945, 2145)(946, 2146)(947, 2147)(948, 2148)(949, 2149)(950, 2150)(951, 2151)(952, 2152)(953, 2153)(954, 2154)(955, 2155)(956, 2156)(957, 2157)(958, 2158)(959, 2159)(960, 2160)(961, 2161)(962, 2162)(963, 2163)(964, 2164)(965, 2165)(966, 2166)(967, 2167)(968, 2168)(969, 2169)(970, 2170)(971, 2171)(972, 2172)(973, 2173)(974, 2174)(975, 2175)(976, 2176)(977, 2177)(978, 2178)(979, 2179)(980, 2180)(981, 2181)(982, 2182)(983, 2183)(984, 2184)(985, 2185)(986, 2186)(987, 2187)(988, 2188)(989, 2189)(990, 2190)(991, 2191)(992, 2192)(993, 2193)(994, 2194)(995, 2195)(996, 2196)(997, 2197)(998, 2198)(999, 2199)(1000, 2200)(1001, 2201)(1002, 2202)(1003, 2203)(1004, 2204)(1005, 2205)(1006, 2206)(1007, 2207)(1008, 2208)(1009, 2209)(1010, 2210)(1011, 2211)(1012, 2212)(1013, 2213)(1014, 2214)(1015, 2215)(1016, 2216)(1017, 2217)(1018, 2218)(1019, 2219)(1020, 2220)(1021, 2221)(1022, 2222)(1023, 2223)(1024, 2224)(1025, 2225)(1026, 2226)(1027, 2227)(1028, 2228)(1029, 2229)(1030, 2230)(1031, 2231)(1032, 2232)(1033, 2233)(1034, 2234)(1035, 2235)(1036, 2236)(1037, 2237)(1038, 2238)(1039, 2239)(1040, 2240)(1041, 2241)(1042, 2242)(1043, 2243)(1044, 2244)(1045, 2245)(1046, 2246)(1047, 2247)(1048, 2248)(1049, 2249)(1050, 2250)(1051, 2251)(1052, 2252)(1053, 2253)(1054, 2254)(1055, 2255)(1056, 2256)(1057, 2257)(1058, 2258)(1059, 2259)(1060, 2260)(1061, 2261)(1062, 2262)(1063, 2263)(1064, 2264)(1065, 2265)(1066, 2266)(1067, 2267)(1068, 2268)(1069, 2269)(1070, 2270)(1071, 2271)(1072, 2272)(1073, 2273)(1074, 2274)(1075, 2275)(1076, 2276)(1077, 2277)(1078, 2278)(1079, 2279)(1080, 2280)(1081, 2281)(1082, 2282)(1083, 2283)(1084, 2284)(1085, 2285)(1086, 2286)(1087, 2287)(1088, 2288)(1089, 2289)(1090, 2290)(1091, 2291)(1092, 2292)(1093, 2293)(1094, 2294)(1095, 2295)(1096, 2296)(1097, 2297)(1098, 2298)(1099, 2299)(1100, 2300)(1101, 2301)(1102, 2302)(1103, 2303)(1104, 2304)(1105, 2305)(1106, 2306)(1107, 2307)(1108, 2308)(1109, 2309)(1110, 2310)(1111, 2311)(1112, 2312)(1113, 2313)(1114, 2314)(1115, 2315)(1116, 2316)(1117, 2317)(1118, 2318)(1119, 2319)(1120, 2320)(1121, 2321)(1122, 2322)(1123, 2323)(1124, 2324)(1125, 2325)(1126, 2326)(1127, 2327)(1128, 2328)(1129, 2329)(1130, 2330)(1131, 2331)(1132, 2332)(1133, 2333)(1134, 2334)(1135, 2335)(1136, 2336)(1137, 2337)(1138, 2338)(1139, 2339)(1140, 2340)(1141, 2341)(1142, 2342)(1143, 2343)(1144, 2344)(1145, 2345)(1146, 2346)(1147, 2347)(1148, 2348)(1149, 2349)(1150, 2350)(1151, 2351)(1152, 2352)(1153, 2353)(1154, 2354)(1155, 2355)(1156, 2356)(1157, 2357)(1158, 2358)(1159, 2359)(1160, 2360)(1161, 2361)(1162, 2362)(1163, 2363)(1164, 2364)(1165, 2365)(1166, 2366)(1167, 2367)(1168, 2368)(1169, 2369)(1170, 2370)(1171, 2371)(1172, 2372)(1173, 2373)(1174, 2374)(1175, 2375)(1176, 2376)(1177, 2377)(1178, 2378)(1179, 2379)(1180, 2380)(1181, 2381)(1182, 2382)(1183, 2383)(1184, 2384)(1185, 2385)(1186, 2386)(1187, 2387)(1188, 2388)(1189, 2389)(1190, 2390)(1191, 2391)(1192, 2392)(1193, 2393)(1194, 2394)(1195, 2395)(1196, 2396)(1197, 2397)(1198, 2398)(1199, 2399)(1200, 2400)
	local type(s) :: { ( 4^3 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E26.1529
Graph:: simple bipartite
	v = 550 e = 1200 f = 600
	degree seq :: [ 3^400, 8^150 ]

E26.1527 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 4})
Quotient :: edge^2
Aut^+ = $<600, 150>$ (small group id <600, 150>)
Aut   = $<1200, 947>$ (small group id <1200, 947>)
|r| :: 2
Presentation :: [ Y3, R^2, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, (Y1^-1 * Y2^-1)^4, (Y2 * Y1^-1)^6, (Y1^-1 * Y3^-1 * Y2^-1)^4, Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, (Y2^-1, Y1^-1)^4, (Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1)^3 ]
Map:: polytopal
	R = (1, 601)(2, 602)(3, 603)(4, 604)(5, 605)(6, 606)(7, 607)(8, 608)(9, 609)(10, 610)(11, 611)(12, 612)(13, 613)(14, 614)(15, 615)(16, 616)(17, 617)(18, 618)(19, 619)(20, 620)(21, 621)(22, 622)(23, 623)(24, 624)(25, 625)(26, 626)(27, 627)(28, 628)(29, 629)(30, 630)(31, 631)(32, 632)(33, 633)(34, 634)(35, 635)(36, 636)(37, 637)(38, 638)(39, 639)(40, 640)(41, 641)(42, 642)(43, 643)(44, 644)(45, 645)(46, 646)(47, 647)(48, 648)(49, 649)(50, 650)(51, 651)(52, 652)(53, 653)(54, 654)(55, 655)(56, 656)(57, 657)(58, 658)(59, 659)(60, 660)(61, 661)(62, 662)(63, 663)(64, 664)(65, 665)(66, 666)(67, 667)(68, 668)(69, 669)(70, 670)(71, 671)(72, 672)(73, 673)(74, 674)(75, 675)(76, 676)(77, 677)(78, 678)(79, 679)(80, 680)(81, 681)(82, 682)(83, 683)(84, 684)(85, 685)(86, 686)(87, 687)(88, 688)(89, 689)(90, 690)(91, 691)(92, 692)(93, 693)(94, 694)(95, 695)(96, 696)(97, 697)(98, 698)(99, 699)(100, 700)(101, 701)(102, 702)(103, 703)(104, 704)(105, 705)(106, 706)(107, 707)(108, 708)(109, 709)(110, 710)(111, 711)(112, 712)(113, 713)(114, 714)(115, 715)(116, 716)(117, 717)(118, 718)(119, 719)(120, 720)(121, 721)(122, 722)(123, 723)(124, 724)(125, 725)(126, 726)(127, 727)(128, 728)(129, 729)(130, 730)(131, 731)(132, 732)(133, 733)(134, 734)(135, 735)(136, 736)(137, 737)(138, 738)(139, 739)(140, 740)(141, 741)(142, 742)(143, 743)(144, 744)(145, 745)(146, 746)(147, 747)(148, 748)(149, 749)(150, 750)(151, 751)(152, 752)(153, 753)(154, 754)(155, 755)(156, 756)(157, 757)(158, 758)(159, 759)(160, 760)(161, 761)(162, 762)(163, 763)(164, 764)(165, 765)(166, 766)(167, 767)(168, 768)(169, 769)(170, 770)(171, 771)(172, 772)(173, 773)(174, 774)(175, 775)(176, 776)(177, 777)(178, 778)(179, 779)(180, 780)(181, 781)(182, 782)(183, 783)(184, 784)(185, 785)(186, 786)(187, 787)(188, 788)(189, 789)(190, 790)(191, 791)(192, 792)(193, 793)(194, 794)(195, 795)(196, 796)(197, 797)(198, 798)(199, 799)(200, 800)(201, 801)(202, 802)(203, 803)(204, 804)(205, 805)(206, 806)(207, 807)(208, 808)(209, 809)(210, 810)(211, 811)(212, 812)(213, 813)(214, 814)(215, 815)(216, 816)(217, 817)(218, 818)(219, 819)(220, 820)(221, 821)(222, 822)(223, 823)(224, 824)(225, 825)(226, 826)(227, 827)(228, 828)(229, 829)(230, 830)(231, 831)(232, 832)(233, 833)(234, 834)(235, 835)(236, 836)(237, 837)(238, 838)(239, 839)(240, 840)(241, 841)(242, 842)(243, 843)(244, 844)(245, 845)(246, 846)(247, 847)(248, 848)(249, 849)(250, 850)(251, 851)(252, 852)(253, 853)(254, 854)(255, 855)(256, 856)(257, 857)(258, 858)(259, 859)(260, 860)(261, 861)(262, 862)(263, 863)(264, 864)(265, 865)(266, 866)(267, 867)(268, 868)(269, 869)(270, 870)(271, 871)(272, 872)(273, 873)(274, 874)(275, 875)(276, 876)(277, 877)(278, 878)(279, 879)(280, 880)(281, 881)(282, 882)(283, 883)(284, 884)(285, 885)(286, 886)(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, 905)(306, 906)(307, 907)(308, 908)(309, 909)(310, 910)(311, 911)(312, 912)(313, 913)(314, 914)(315, 915)(316, 916)(317, 917)(318, 918)(319, 919)(320, 920)(321, 921)(322, 922)(323, 923)(324, 924)(325, 925)(326, 926)(327, 927)(328, 928)(329, 929)(330, 930)(331, 931)(332, 932)(333, 933)(334, 934)(335, 935)(336, 936)(337, 937)(338, 938)(339, 939)(340, 940)(341, 941)(342, 942)(343, 943)(344, 944)(345, 945)(346, 946)(347, 947)(348, 948)(349, 949)(350, 950)(351, 951)(352, 952)(353, 953)(354, 954)(355, 955)(356, 956)(357, 957)(358, 958)(359, 959)(360, 960)(361, 961)(362, 962)(363, 963)(364, 964)(365, 965)(366, 966)(367, 967)(368, 968)(369, 969)(370, 970)(371, 971)(372, 972)(373, 973)(374, 974)(375, 975)(376, 976)(377, 977)(378, 978)(379, 979)(380, 980)(381, 981)(382, 982)(383, 983)(384, 984)(385, 985)(386, 986)(387, 987)(388, 988)(389, 989)(390, 990)(391, 991)(392, 992)(393, 993)(394, 994)(395, 995)(396, 996)(397, 997)(398, 998)(399, 999)(400, 1000)(401, 1001)(402, 1002)(403, 1003)(404, 1004)(405, 1005)(406, 1006)(407, 1007)(408, 1008)(409, 1009)(410, 1010)(411, 1011)(412, 1012)(413, 1013)(414, 1014)(415, 1015)(416, 1016)(417, 1017)(418, 1018)(419, 1019)(420, 1020)(421, 1021)(422, 1022)(423, 1023)(424, 1024)(425, 1025)(426, 1026)(427, 1027)(428, 1028)(429, 1029)(430, 1030)(431, 1031)(432, 1032)(433, 1033)(434, 1034)(435, 1035)(436, 1036)(437, 1037)(438, 1038)(439, 1039)(440, 1040)(441, 1041)(442, 1042)(443, 1043)(444, 1044)(445, 1045)(446, 1046)(447, 1047)(448, 1048)(449, 1049)(450, 1050)(451, 1051)(452, 1052)(453, 1053)(454, 1054)(455, 1055)(456, 1056)(457, 1057)(458, 1058)(459, 1059)(460, 1060)(461, 1061)(462, 1062)(463, 1063)(464, 1064)(465, 1065)(466, 1066)(467, 1067)(468, 1068)(469, 1069)(470, 1070)(471, 1071)(472, 1072)(473, 1073)(474, 1074)(475, 1075)(476, 1076)(477, 1077)(478, 1078)(479, 1079)(480, 1080)(481, 1081)(482, 1082)(483, 1083)(484, 1084)(485, 1085)(486, 1086)(487, 1087)(488, 1088)(489, 1089)(490, 1090)(491, 1091)(492, 1092)(493, 1093)(494, 1094)(495, 1095)(496, 1096)(497, 1097)(498, 1098)(499, 1099)(500, 1100)(501, 1101)(502, 1102)(503, 1103)(504, 1104)(505, 1105)(506, 1106)(507, 1107)(508, 1108)(509, 1109)(510, 1110)(511, 1111)(512, 1112)(513, 1113)(514, 1114)(515, 1115)(516, 1116)(517, 1117)(518, 1118)(519, 1119)(520, 1120)(521, 1121)(522, 1122)(523, 1123)(524, 1124)(525, 1125)(526, 1126)(527, 1127)(528, 1128)(529, 1129)(530, 1130)(531, 1131)(532, 1132)(533, 1133)(534, 1134)(535, 1135)(536, 1136)(537, 1137)(538, 1138)(539, 1139)(540, 1140)(541, 1141)(542, 1142)(543, 1143)(544, 1144)(545, 1145)(546, 1146)(547, 1147)(548, 1148)(549, 1149)(550, 1150)(551, 1151)(552, 1152)(553, 1153)(554, 1154)(555, 1155)(556, 1156)(557, 1157)(558, 1158)(559, 1159)(560, 1160)(561, 1161)(562, 1162)(563, 1163)(564, 1164)(565, 1165)(566, 1166)(567, 1167)(568, 1168)(569, 1169)(570, 1170)(571, 1171)(572, 1172)(573, 1173)(574, 1174)(575, 1175)(576, 1176)(577, 1177)(578, 1178)(579, 1179)(580, 1180)(581, 1181)(582, 1182)(583, 1183)(584, 1184)(585, 1185)(586, 1186)(587, 1187)(588, 1188)(589, 1189)(590, 1190)(591, 1191)(592, 1192)(593, 1193)(594, 1194)(595, 1195)(596, 1196)(597, 1197)(598, 1198)(599, 1199)(600, 1200)(1201, 1202, 1204)(1203, 1208, 1209)(1205, 1212, 1213)(1206, 1214, 1215)(1207, 1216, 1217)(1210, 1222, 1223)(1211, 1224, 1225)(1218, 1238, 1239)(1219, 1240, 1241)(1220, 1242, 1243)(1221, 1244, 1245)(1226, 1253, 1254)(1227, 1255, 1256)(1228, 1257, 1258)(1229, 1259, 1230)(1231, 1260, 1261)(1232, 1262, 1263)(1233, 1264, 1265)(1234, 1266, 1267)(1235, 1268, 1269)(1236, 1270, 1271)(1237, 1272, 1246)(1247, 1286, 1287)(1248, 1288, 1289)(1249, 1290, 1291)(1250, 1292, 1293)(1251, 1294, 1295)(1252, 1296, 1297)(1273, 1333, 1334)(1274, 1335, 1336)(1275, 1337, 1338)(1276, 1339, 1340)(1277, 1341, 1342)(1278, 1343, 1279)(1280, 1344, 1345)(1281, 1346, 1324)(1282, 1347, 1348)(1283, 1349, 1350)(1284, 1351, 1352)(1285, 1353, 1354)(1298, 1376, 1377)(1299, 1378, 1379)(1300, 1380, 1381)(1301, 1361, 1382)(1302, 1383, 1384)(1303, 1385, 1304)(1305, 1386, 1387)(1306, 1388, 1389)(1307, 1390, 1391)(1308, 1392, 1393)(1309, 1394, 1395)(1310, 1396, 1397)(1311, 1398, 1399)(1312, 1400, 1401)(1313, 1402, 1314)(1315, 1403, 1404)(1316, 1405, 1369)(1317, 1406, 1407)(1318, 1408, 1409)(1319, 1410, 1411)(1320, 1412, 1413)(1321, 1414, 1415)(1322, 1416, 1417)(1323, 1418, 1419)(1325, 1420, 1421)(1326, 1422, 1327)(1328, 1423, 1424)(1329, 1425, 1426)(1330, 1427, 1428)(1331, 1429, 1430)(1332, 1431, 1432)(1355, 1470, 1471)(1356, 1472, 1473)(1357, 1474, 1475)(1358, 1476, 1359)(1360, 1477, 1478)(1362, 1479, 1480)(1363, 1481, 1482)(1364, 1483, 1484)(1365, 1485, 1486)(1366, 1487, 1488)(1367, 1489, 1490)(1368, 1491, 1492)(1370, 1493, 1494)(1371, 1495, 1372)(1373, 1496, 1497)(1374, 1498, 1499)(1375, 1500, 1433)(1434, 1591, 1592)(1435, 1560, 1463)(1436, 1593, 1544)(1437, 1543, 1594)(1438, 1595, 1596)(1439, 1597, 1598)(1440, 1599, 1600)(1441, 1601, 1576)(1442, 1575, 1602)(1443, 1603, 1604)(1444, 1605, 1445)(1446, 1606, 1553)(1447, 1607, 1608)(1448, 1609, 1610)(1449, 1611, 1540)(1450, 1612, 1613)(1451, 1614, 1588)(1452, 1587, 1615)(1453, 1616, 1617)(1454, 1618, 1455)(1456, 1619, 1571)(1457, 1570, 1620)(1458, 1537, 1536)(1459, 1621, 1622)(1460, 1623, 1624)(1461, 1625, 1626)(1462, 1627, 1628)(1464, 1559, 1629)(1465, 1630, 1466)(1467, 1631, 1632)(1468, 1633, 1586)(1469, 1634, 1501)(1502, 1551, 1677)(1503, 1678, 1530)(1504, 1679, 1680)(1505, 1681, 1579)(1506, 1682, 1683)(1507, 1664, 1548)(1508, 1684, 1685)(1509, 1686, 1648)(1510, 1647, 1687)(1511, 1568, 1512)(1513, 1688, 1689)(1514, 1690, 1691)(1515, 1692, 1693)(1516, 1694, 1637)(1517, 1636, 1695)(1518, 1696, 1697)(1519, 1539, 1698)(1520, 1660, 1699)(1521, 1584, 1522)(1523, 1700, 1701)(1524, 1702, 1703)(1525, 1673, 1672)(1526, 1704, 1705)(1527, 1656, 1555)(1528, 1706, 1645)(1529, 1644, 1707)(1531, 1708, 1709)(1532, 1710, 1711)(1533, 1712, 1669)(1534, 1668, 1713)(1535, 1714, 1715)(1538, 1716, 1651)(1541, 1717, 1642)(1542, 1718, 1719)(1545, 1720, 1721)(1546, 1722, 1547)(1549, 1663, 1723)(1550, 1640, 1639)(1552, 1724, 1725)(1554, 1726, 1727)(1556, 1655, 1728)(1557, 1729, 1558)(1561, 1730, 1562)(1563, 1649, 1731)(1564, 1732, 1589)(1565, 1733, 1734)(1566, 1735, 1671)(1567, 1736, 1737)(1569, 1738, 1739)(1572, 1740, 1741)(1573, 1742, 1743)(1574, 1744, 1745)(1577, 1746, 1747)(1578, 1641, 1748)(1580, 1676, 1581)(1582, 1749, 1750)(1583, 1751, 1752)(1585, 1753, 1754)(1590, 1755, 1756)(1635, 1779, 1777)(1638, 1772, 1780)(1643, 1781, 1782)(1646, 1758, 1776)(1650, 1757, 1783)(1652, 1784, 1785)(1653, 1764, 1654)(1657, 1775, 1658)(1659, 1786, 1787)(1661, 1788, 1789)(1662, 1771, 1790)(1665, 1791, 1767)(1666, 1766, 1763)(1667, 1792, 1793)(1670, 1778, 1794)(1674, 1795, 1773)(1675, 1796, 1770)(1759, 1769, 1768)(1760, 1774, 1798)(1761, 1797, 1762)(1765, 1800, 1799)(1801, 1803, 1805)(1802, 1806, 1807)(1804, 1810, 1811)(1808, 1818, 1819)(1809, 1820, 1821)(1812, 1826, 1827)(1813, 1828, 1829)(1814, 1830, 1831)(1815, 1832, 1833)(1816, 1834, 1835)(1817, 1836, 1837)(1822, 1846, 1847)(1823, 1848, 1849)(1824, 1850, 1851)(1825, 1852, 1838)(1839, 1873, 1874)(1840, 1875, 1876)(1841, 1877, 1878)(1842, 1879, 1880)(1843, 1881, 1882)(1844, 1883, 1884)(1845, 1885, 1853)(1854, 1898, 1899)(1855, 1900, 1901)(1856, 1902, 1903)(1857, 1904, 1905)(1858, 1906, 1907)(1859, 1908, 1909)(1860, 1910, 1911)(1861, 1912, 1913)(1862, 1914, 1915)(1863, 1916, 1917)(1864, 1918, 1919)(1865, 1920, 1866)(1867, 1921, 1922)(1868, 1923, 1924)(1869, 1925, 1926)(1870, 1927, 1928)(1871, 1929, 1930)(1872, 1931, 1932)(1886, 1955, 1956)(1887, 1957, 1958)(1888, 1959, 1960)(1889, 1961, 1962)(1890, 1963, 1964)(1891, 1965, 1892)(1893, 1966, 1967)(1894, 1968, 1969)(1895, 1970, 1971)(1896, 1972, 1973)(1897, 1974, 1975)(1933, 2033, 2034)(1934, 2035, 2036)(1935, 2037, 2038)(1936, 2039, 1937)(1938, 2040, 2041)(1939, 2042, 1989)(1940, 2043, 2044)(1941, 2045, 2046)(1942, 2047, 2048)(1943, 2049, 2050)(1944, 2051, 2052)(1945, 2053, 2054)(1946, 2055, 2056)(1947, 2057, 2058)(1948, 2059, 1949)(1950, 2060, 2061)(1951, 2062, 2063)(1952, 2064, 2065)(1953, 2066, 2067)(1954, 2068, 2069)(1976, 2101, 2102)(1977, 2103, 2104)(1978, 2105, 2106)(1979, 2107, 1980)(1981, 2108, 2109)(1982, 2110, 2111)(1983, 2112, 2113)(1984, 2114, 2115)(1985, 2116, 2117)(1986, 2118, 2119)(1987, 2120, 2121)(1988, 2122, 2123)(1990, 2124, 2125)(1991, 2126, 1992)(1993, 2127, 2128)(1994, 2129, 2130)(1995, 2131, 1996)(1997, 2132, 2133)(1998, 2134, 2026)(1999, 2135, 2136)(2000, 2137, 2138)(2001, 2139, 2140)(2002, 2141, 2142)(2003, 2143, 2144)(2004, 2145, 2146)(2005, 2147, 2148)(2006, 2149, 2150)(2007, 2151, 2008)(2009, 2152, 2153)(2010, 2154, 2155)(2011, 2156, 2157)(2012, 2158, 2159)(2013, 2160, 2161)(2014, 2162, 2163)(2015, 2164, 2165)(2016, 2166, 2167)(2017, 2168, 2018)(2019, 2169, 2170)(2020, 2171, 2172)(2021, 2173, 2174)(2022, 2175, 2176)(2023, 2177, 2178)(2024, 2179, 2180)(2025, 2181, 2182)(2027, 2183, 2184)(2028, 2185, 2029)(2030, 2186, 2187)(2031, 2188, 2189)(2032, 2190, 2070)(2071, 2235, 2236)(2072, 2237, 2099)(2073, 2238, 2239)(2074, 2240, 2225)(2075, 2241, 2242)(2076, 2209, 2243)(2077, 2244, 2245)(2078, 2246, 2247)(2079, 2248, 2205)(2080, 2249, 2081)(2082, 2250, 2251)(2083, 2252, 2233)(2084, 2232, 2253)(2085, 2254, 2255)(2086, 2256, 2257)(2087, 2258, 2222)(2088, 2195, 2259)(2089, 2260, 2261)(2090, 2219, 2091)(2092, 2262, 2263)(2093, 2264, 2265)(2094, 2266, 2267)(2095, 2268, 2269)(2096, 2270, 2208)(2097, 2271, 2272)(2098, 2273, 2274)(2100, 2275, 2276)(2191, 2281, 2280)(2192, 2357, 2330)(2193, 2358, 2359)(2194, 2319, 2289)(2196, 2360, 2356)(2197, 2355, 2308)(2198, 2278, 2361)(2199, 2362, 2339)(2200, 2363, 2328)(2201, 2364, 2346)(2202, 2345, 2302)(2203, 2301, 2323)(2204, 2365, 2331)(2206, 2349, 2326)(2207, 2325, 2336)(2210, 2317, 2211)(2212, 2297, 2366)(2213, 2367, 2214)(2215, 2320, 2368)(2216, 2369, 2306)(2217, 2327, 2370)(2218, 2292, 2371)(2220, 2372, 2373)(2221, 2315, 2374)(2223, 2375, 2305)(2224, 2282, 2348)(2226, 2300, 2227)(2228, 2352, 2376)(2229, 2377, 2343)(2230, 2378, 2312)(2231, 2311, 2291)(2234, 2354, 2324)(2277, 2380, 2397)(2279, 2340, 2389)(2283, 2333, 2391)(2284, 2322, 2344)(2285, 2379, 2398)(2286, 2314, 2350)(2287, 2392, 2338)(2288, 2337, 2386)(2290, 2318, 2347)(2293, 2396, 2294)(2295, 2329, 2296)(2298, 2383, 2388)(2299, 2387, 2353)(2303, 2321, 2385)(2304, 2335, 2334)(2307, 2382, 2341)(2309, 2332, 2399)(2310, 2400, 2390)(2313, 2393, 2351)(2316, 2395, 2384)(2342, 2381, 2394)
	L = (1, 1201)(2, 1202)(3, 1203)(4, 1204)(5, 1205)(6, 1206)(7, 1207)(8, 1208)(9, 1209)(10, 1210)(11, 1211)(12, 1212)(13, 1213)(14, 1214)(15, 1215)(16, 1216)(17, 1217)(18, 1218)(19, 1219)(20, 1220)(21, 1221)(22, 1222)(23, 1223)(24, 1224)(25, 1225)(26, 1226)(27, 1227)(28, 1228)(29, 1229)(30, 1230)(31, 1231)(32, 1232)(33, 1233)(34, 1234)(35, 1235)(36, 1236)(37, 1237)(38, 1238)(39, 1239)(40, 1240)(41, 1241)(42, 1242)(43, 1243)(44, 1244)(45, 1245)(46, 1246)(47, 1247)(48, 1248)(49, 1249)(50, 1250)(51, 1251)(52, 1252)(53, 1253)(54, 1254)(55, 1255)(56, 1256)(57, 1257)(58, 1258)(59, 1259)(60, 1260)(61, 1261)(62, 1262)(63, 1263)(64, 1264)(65, 1265)(66, 1266)(67, 1267)(68, 1268)(69, 1269)(70, 1270)(71, 1271)(72, 1272)(73, 1273)(74, 1274)(75, 1275)(76, 1276)(77, 1277)(78, 1278)(79, 1279)(80, 1280)(81, 1281)(82, 1282)(83, 1283)(84, 1284)(85, 1285)(86, 1286)(87, 1287)(88, 1288)(89, 1289)(90, 1290)(91, 1291)(92, 1292)(93, 1293)(94, 1294)(95, 1295)(96, 1296)(97, 1297)(98, 1298)(99, 1299)(100, 1300)(101, 1301)(102, 1302)(103, 1303)(104, 1304)(105, 1305)(106, 1306)(107, 1307)(108, 1308)(109, 1309)(110, 1310)(111, 1311)(112, 1312)(113, 1313)(114, 1314)(115, 1315)(116, 1316)(117, 1317)(118, 1318)(119, 1319)(120, 1320)(121, 1321)(122, 1322)(123, 1323)(124, 1324)(125, 1325)(126, 1326)(127, 1327)(128, 1328)(129, 1329)(130, 1330)(131, 1331)(132, 1332)(133, 1333)(134, 1334)(135, 1335)(136, 1336)(137, 1337)(138, 1338)(139, 1339)(140, 1340)(141, 1341)(142, 1342)(143, 1343)(144, 1344)(145, 1345)(146, 1346)(147, 1347)(148, 1348)(149, 1349)(150, 1350)(151, 1351)(152, 1352)(153, 1353)(154, 1354)(155, 1355)(156, 1356)(157, 1357)(158, 1358)(159, 1359)(160, 1360)(161, 1361)(162, 1362)(163, 1363)(164, 1364)(165, 1365)(166, 1366)(167, 1367)(168, 1368)(169, 1369)(170, 1370)(171, 1371)(172, 1372)(173, 1373)(174, 1374)(175, 1375)(176, 1376)(177, 1377)(178, 1378)(179, 1379)(180, 1380)(181, 1381)(182, 1382)(183, 1383)(184, 1384)(185, 1385)(186, 1386)(187, 1387)(188, 1388)(189, 1389)(190, 1390)(191, 1391)(192, 1392)(193, 1393)(194, 1394)(195, 1395)(196, 1396)(197, 1397)(198, 1398)(199, 1399)(200, 1400)(201, 1401)(202, 1402)(203, 1403)(204, 1404)(205, 1405)(206, 1406)(207, 1407)(208, 1408)(209, 1409)(210, 1410)(211, 1411)(212, 1412)(213, 1413)(214, 1414)(215, 1415)(216, 1416)(217, 1417)(218, 1418)(219, 1419)(220, 1420)(221, 1421)(222, 1422)(223, 1423)(224, 1424)(225, 1425)(226, 1426)(227, 1427)(228, 1428)(229, 1429)(230, 1430)(231, 1431)(232, 1432)(233, 1433)(234, 1434)(235, 1435)(236, 1436)(237, 1437)(238, 1438)(239, 1439)(240, 1440)(241, 1441)(242, 1442)(243, 1443)(244, 1444)(245, 1445)(246, 1446)(247, 1447)(248, 1448)(249, 1449)(250, 1450)(251, 1451)(252, 1452)(253, 1453)(254, 1454)(255, 1455)(256, 1456)(257, 1457)(258, 1458)(259, 1459)(260, 1460)(261, 1461)(262, 1462)(263, 1463)(264, 1464)(265, 1465)(266, 1466)(267, 1467)(268, 1468)(269, 1469)(270, 1470)(271, 1471)(272, 1472)(273, 1473)(274, 1474)(275, 1475)(276, 1476)(277, 1477)(278, 1478)(279, 1479)(280, 1480)(281, 1481)(282, 1482)(283, 1483)(284, 1484)(285, 1485)(286, 1486)(287, 1487)(288, 1488)(289, 1489)(290, 1490)(291, 1491)(292, 1492)(293, 1493)(294, 1494)(295, 1495)(296, 1496)(297, 1497)(298, 1498)(299, 1499)(300, 1500)(301, 1501)(302, 1502)(303, 1503)(304, 1504)(305, 1505)(306, 1506)(307, 1507)(308, 1508)(309, 1509)(310, 1510)(311, 1511)(312, 1512)(313, 1513)(314, 1514)(315, 1515)(316, 1516)(317, 1517)(318, 1518)(319, 1519)(320, 1520)(321, 1521)(322, 1522)(323, 1523)(324, 1524)(325, 1525)(326, 1526)(327, 1527)(328, 1528)(329, 1529)(330, 1530)(331, 1531)(332, 1532)(333, 1533)(334, 1534)(335, 1535)(336, 1536)(337, 1537)(338, 1538)(339, 1539)(340, 1540)(341, 1541)(342, 1542)(343, 1543)(344, 1544)(345, 1545)(346, 1546)(347, 1547)(348, 1548)(349, 1549)(350, 1550)(351, 1551)(352, 1552)(353, 1553)(354, 1554)(355, 1555)(356, 1556)(357, 1557)(358, 1558)(359, 1559)(360, 1560)(361, 1561)(362, 1562)(363, 1563)(364, 1564)(365, 1565)(366, 1566)(367, 1567)(368, 1568)(369, 1569)(370, 1570)(371, 1571)(372, 1572)(373, 1573)(374, 1574)(375, 1575)(376, 1576)(377, 1577)(378, 1578)(379, 1579)(380, 1580)(381, 1581)(382, 1582)(383, 1583)(384, 1584)(385, 1585)(386, 1586)(387, 1587)(388, 1588)(389, 1589)(390, 1590)(391, 1591)(392, 1592)(393, 1593)(394, 1594)(395, 1595)(396, 1596)(397, 1597)(398, 1598)(399, 1599)(400, 1600)(401, 1601)(402, 1602)(403, 1603)(404, 1604)(405, 1605)(406, 1606)(407, 1607)(408, 1608)(409, 1609)(410, 1610)(411, 1611)(412, 1612)(413, 1613)(414, 1614)(415, 1615)(416, 1616)(417, 1617)(418, 1618)(419, 1619)(420, 1620)(421, 1621)(422, 1622)(423, 1623)(424, 1624)(425, 1625)(426, 1626)(427, 1627)(428, 1628)(429, 1629)(430, 1630)(431, 1631)(432, 1632)(433, 1633)(434, 1634)(435, 1635)(436, 1636)(437, 1637)(438, 1638)(439, 1639)(440, 1640)(441, 1641)(442, 1642)(443, 1643)(444, 1644)(445, 1645)(446, 1646)(447, 1647)(448, 1648)(449, 1649)(450, 1650)(451, 1651)(452, 1652)(453, 1653)(454, 1654)(455, 1655)(456, 1656)(457, 1657)(458, 1658)(459, 1659)(460, 1660)(461, 1661)(462, 1662)(463, 1663)(464, 1664)(465, 1665)(466, 1666)(467, 1667)(468, 1668)(469, 1669)(470, 1670)(471, 1671)(472, 1672)(473, 1673)(474, 1674)(475, 1675)(476, 1676)(477, 1677)(478, 1678)(479, 1679)(480, 1680)(481, 1681)(482, 1682)(483, 1683)(484, 1684)(485, 1685)(486, 1686)(487, 1687)(488, 1688)(489, 1689)(490, 1690)(491, 1691)(492, 1692)(493, 1693)(494, 1694)(495, 1695)(496, 1696)(497, 1697)(498, 1698)(499, 1699)(500, 1700)(501, 1701)(502, 1702)(503, 1703)(504, 1704)(505, 1705)(506, 1706)(507, 1707)(508, 1708)(509, 1709)(510, 1710)(511, 1711)(512, 1712)(513, 1713)(514, 1714)(515, 1715)(516, 1716)(517, 1717)(518, 1718)(519, 1719)(520, 1720)(521, 1721)(522, 1722)(523, 1723)(524, 1724)(525, 1725)(526, 1726)(527, 1727)(528, 1728)(529, 1729)(530, 1730)(531, 1731)(532, 1732)(533, 1733)(534, 1734)(535, 1735)(536, 1736)(537, 1737)(538, 1738)(539, 1739)(540, 1740)(541, 1741)(542, 1742)(543, 1743)(544, 1744)(545, 1745)(546, 1746)(547, 1747)(548, 1748)(549, 1749)(550, 1750)(551, 1751)(552, 1752)(553, 1753)(554, 1754)(555, 1755)(556, 1756)(557, 1757)(558, 1758)(559, 1759)(560, 1760)(561, 1761)(562, 1762)(563, 1763)(564, 1764)(565, 1765)(566, 1766)(567, 1767)(568, 1768)(569, 1769)(570, 1770)(571, 1771)(572, 1772)(573, 1773)(574, 1774)(575, 1775)(576, 1776)(577, 1777)(578, 1778)(579, 1779)(580, 1780)(581, 1781)(582, 1782)(583, 1783)(584, 1784)(585, 1785)(586, 1786)(587, 1787)(588, 1788)(589, 1789)(590, 1790)(591, 1791)(592, 1792)(593, 1793)(594, 1794)(595, 1795)(596, 1796)(597, 1797)(598, 1798)(599, 1799)(600, 1800)(601, 1801)(602, 1802)(603, 1803)(604, 1804)(605, 1805)(606, 1806)(607, 1807)(608, 1808)(609, 1809)(610, 1810)(611, 1811)(612, 1812)(613, 1813)(614, 1814)(615, 1815)(616, 1816)(617, 1817)(618, 1818)(619, 1819)(620, 1820)(621, 1821)(622, 1822)(623, 1823)(624, 1824)(625, 1825)(626, 1826)(627, 1827)(628, 1828)(629, 1829)(630, 1830)(631, 1831)(632, 1832)(633, 1833)(634, 1834)(635, 1835)(636, 1836)(637, 1837)(638, 1838)(639, 1839)(640, 1840)(641, 1841)(642, 1842)(643, 1843)(644, 1844)(645, 1845)(646, 1846)(647, 1847)(648, 1848)(649, 1849)(650, 1850)(651, 1851)(652, 1852)(653, 1853)(654, 1854)(655, 1855)(656, 1856)(657, 1857)(658, 1858)(659, 1859)(660, 1860)(661, 1861)(662, 1862)(663, 1863)(664, 1864)(665, 1865)(666, 1866)(667, 1867)(668, 1868)(669, 1869)(670, 1870)(671, 1871)(672, 1872)(673, 1873)(674, 1874)(675, 1875)(676, 1876)(677, 1877)(678, 1878)(679, 1879)(680, 1880)(681, 1881)(682, 1882)(683, 1883)(684, 1884)(685, 1885)(686, 1886)(687, 1887)(688, 1888)(689, 1889)(690, 1890)(691, 1891)(692, 1892)(693, 1893)(694, 1894)(695, 1895)(696, 1896)(697, 1897)(698, 1898)(699, 1899)(700, 1900)(701, 1901)(702, 1902)(703, 1903)(704, 1904)(705, 1905)(706, 1906)(707, 1907)(708, 1908)(709, 1909)(710, 1910)(711, 1911)(712, 1912)(713, 1913)(714, 1914)(715, 1915)(716, 1916)(717, 1917)(718, 1918)(719, 1919)(720, 1920)(721, 1921)(722, 1922)(723, 1923)(724, 1924)(725, 1925)(726, 1926)(727, 1927)(728, 1928)(729, 1929)(730, 1930)(731, 1931)(732, 1932)(733, 1933)(734, 1934)(735, 1935)(736, 1936)(737, 1937)(738, 1938)(739, 1939)(740, 1940)(741, 1941)(742, 1942)(743, 1943)(744, 1944)(745, 1945)(746, 1946)(747, 1947)(748, 1948)(749, 1949)(750, 1950)(751, 1951)(752, 1952)(753, 1953)(754, 1954)(755, 1955)(756, 1956)(757, 1957)(758, 1958)(759, 1959)(760, 1960)(761, 1961)(762, 1962)(763, 1963)(764, 1964)(765, 1965)(766, 1966)(767, 1967)(768, 1968)(769, 1969)(770, 1970)(771, 1971)(772, 1972)(773, 1973)(774, 1974)(775, 1975)(776, 1976)(777, 1977)(778, 1978)(779, 1979)(780, 1980)(781, 1981)(782, 1982)(783, 1983)(784, 1984)(785, 1985)(786, 1986)(787, 1987)(788, 1988)(789, 1989)(790, 1990)(791, 1991)(792, 1992)(793, 1993)(794, 1994)(795, 1995)(796, 1996)(797, 1997)(798, 1998)(799, 1999)(800, 2000)(801, 2001)(802, 2002)(803, 2003)(804, 2004)(805, 2005)(806, 2006)(807, 2007)(808, 2008)(809, 2009)(810, 2010)(811, 2011)(812, 2012)(813, 2013)(814, 2014)(815, 2015)(816, 2016)(817, 2017)(818, 2018)(819, 2019)(820, 2020)(821, 2021)(822, 2022)(823, 2023)(824, 2024)(825, 2025)(826, 2026)(827, 2027)(828, 2028)(829, 2029)(830, 2030)(831, 2031)(832, 2032)(833, 2033)(834, 2034)(835, 2035)(836, 2036)(837, 2037)(838, 2038)(839, 2039)(840, 2040)(841, 2041)(842, 2042)(843, 2043)(844, 2044)(845, 2045)(846, 2046)(847, 2047)(848, 2048)(849, 2049)(850, 2050)(851, 2051)(852, 2052)(853, 2053)(854, 2054)(855, 2055)(856, 2056)(857, 2057)(858, 2058)(859, 2059)(860, 2060)(861, 2061)(862, 2062)(863, 2063)(864, 2064)(865, 2065)(866, 2066)(867, 2067)(868, 2068)(869, 2069)(870, 2070)(871, 2071)(872, 2072)(873, 2073)(874, 2074)(875, 2075)(876, 2076)(877, 2077)(878, 2078)(879, 2079)(880, 2080)(881, 2081)(882, 2082)(883, 2083)(884, 2084)(885, 2085)(886, 2086)(887, 2087)(888, 2088)(889, 2089)(890, 2090)(891, 2091)(892, 2092)(893, 2093)(894, 2094)(895, 2095)(896, 2096)(897, 2097)(898, 2098)(899, 2099)(900, 2100)(901, 2101)(902, 2102)(903, 2103)(904, 2104)(905, 2105)(906, 2106)(907, 2107)(908, 2108)(909, 2109)(910, 2110)(911, 2111)(912, 2112)(913, 2113)(914, 2114)(915, 2115)(916, 2116)(917, 2117)(918, 2118)(919, 2119)(920, 2120)(921, 2121)(922, 2122)(923, 2123)(924, 2124)(925, 2125)(926, 2126)(927, 2127)(928, 2128)(929, 2129)(930, 2130)(931, 2131)(932, 2132)(933, 2133)(934, 2134)(935, 2135)(936, 2136)(937, 2137)(938, 2138)(939, 2139)(940, 2140)(941, 2141)(942, 2142)(943, 2143)(944, 2144)(945, 2145)(946, 2146)(947, 2147)(948, 2148)(949, 2149)(950, 2150)(951, 2151)(952, 2152)(953, 2153)(954, 2154)(955, 2155)(956, 2156)(957, 2157)(958, 2158)(959, 2159)(960, 2160)(961, 2161)(962, 2162)(963, 2163)(964, 2164)(965, 2165)(966, 2166)(967, 2167)(968, 2168)(969, 2169)(970, 2170)(971, 2171)(972, 2172)(973, 2173)(974, 2174)(975, 2175)(976, 2176)(977, 2177)(978, 2178)(979, 2179)(980, 2180)(981, 2181)(982, 2182)(983, 2183)(984, 2184)(985, 2185)(986, 2186)(987, 2187)(988, 2188)(989, 2189)(990, 2190)(991, 2191)(992, 2192)(993, 2193)(994, 2194)(995, 2195)(996, 2196)(997, 2197)(998, 2198)(999, 2199)(1000, 2200)(1001, 2201)(1002, 2202)(1003, 2203)(1004, 2204)(1005, 2205)(1006, 2206)(1007, 2207)(1008, 2208)(1009, 2209)(1010, 2210)(1011, 2211)(1012, 2212)(1013, 2213)(1014, 2214)(1015, 2215)(1016, 2216)(1017, 2217)(1018, 2218)(1019, 2219)(1020, 2220)(1021, 2221)(1022, 2222)(1023, 2223)(1024, 2224)(1025, 2225)(1026, 2226)(1027, 2227)(1028, 2228)(1029, 2229)(1030, 2230)(1031, 2231)(1032, 2232)(1033, 2233)(1034, 2234)(1035, 2235)(1036, 2236)(1037, 2237)(1038, 2238)(1039, 2239)(1040, 2240)(1041, 2241)(1042, 2242)(1043, 2243)(1044, 2244)(1045, 2245)(1046, 2246)(1047, 2247)(1048, 2248)(1049, 2249)(1050, 2250)(1051, 2251)(1052, 2252)(1053, 2253)(1054, 2254)(1055, 2255)(1056, 2256)(1057, 2257)(1058, 2258)(1059, 2259)(1060, 2260)(1061, 2261)(1062, 2262)(1063, 2263)(1064, 2264)(1065, 2265)(1066, 2266)(1067, 2267)(1068, 2268)(1069, 2269)(1070, 2270)(1071, 2271)(1072, 2272)(1073, 2273)(1074, 2274)(1075, 2275)(1076, 2276)(1077, 2277)(1078, 2278)(1079, 2279)(1080, 2280)(1081, 2281)(1082, 2282)(1083, 2283)(1084, 2284)(1085, 2285)(1086, 2286)(1087, 2287)(1088, 2288)(1089, 2289)(1090, 2290)(1091, 2291)(1092, 2292)(1093, 2293)(1094, 2294)(1095, 2295)(1096, 2296)(1097, 2297)(1098, 2298)(1099, 2299)(1100, 2300)(1101, 2301)(1102, 2302)(1103, 2303)(1104, 2304)(1105, 2305)(1106, 2306)(1107, 2307)(1108, 2308)(1109, 2309)(1110, 2310)(1111, 2311)(1112, 2312)(1113, 2313)(1114, 2314)(1115, 2315)(1116, 2316)(1117, 2317)(1118, 2318)(1119, 2319)(1120, 2320)(1121, 2321)(1122, 2322)(1123, 2323)(1124, 2324)(1125, 2325)(1126, 2326)(1127, 2327)(1128, 2328)(1129, 2329)(1130, 2330)(1131, 2331)(1132, 2332)(1133, 2333)(1134, 2334)(1135, 2335)(1136, 2336)(1137, 2337)(1138, 2338)(1139, 2339)(1140, 2340)(1141, 2341)(1142, 2342)(1143, 2343)(1144, 2344)(1145, 2345)(1146, 2346)(1147, 2347)(1148, 2348)(1149, 2349)(1150, 2350)(1151, 2351)(1152, 2352)(1153, 2353)(1154, 2354)(1155, 2355)(1156, 2356)(1157, 2357)(1158, 2358)(1159, 2359)(1160, 2360)(1161, 2361)(1162, 2362)(1163, 2363)(1164, 2364)(1165, 2365)(1166, 2366)(1167, 2367)(1168, 2368)(1169, 2369)(1170, 2370)(1171, 2371)(1172, 2372)(1173, 2373)(1174, 2374)(1175, 2375)(1176, 2376)(1177, 2377)(1178, 2378)(1179, 2379)(1180, 2380)(1181, 2381)(1182, 2382)(1183, 2383)(1184, 2384)(1185, 2385)(1186, 2386)(1187, 2387)(1188, 2388)(1189, 2389)(1190, 2390)(1191, 2391)(1192, 2392)(1193, 2393)(1194, 2394)(1195, 2395)(1196, 2396)(1197, 2397)(1198, 2398)(1199, 2399)(1200, 2400)
	local type(s) :: { ( 16, 16 ), ( 16^3 ) }
Outer automorphisms :: reflexible
Dual of E26.1528
Graph:: simple bipartite
	v = 1000 e = 1200 f = 150
	degree seq :: [ 2^600, 3^400 ]

E26.1528 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 4})
Quotient :: loop^2
Aut^+ = $<600, 150>$ (small group id <600, 150>)
Aut   = $<1200, 947>$ (small group id <1200, 947>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^-1 * Y3^-1 * Y2^-1, Y1^3, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y3^4, Y3 * Y2^-1 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 * Y3 * Y2 * Y3^-1 * Y1^-1, Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1 * Y2^-1)^4, Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y2^-1, Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^2 * Y1^-1, Y1 * Y3 * Y2 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y1 * Y2^-1 ]
Map::
	R = (1, 601, 1201, 1801, 4, 604, 1204, 1804, 15, 615, 1215, 1815, 7, 607, 1207, 1807)(2, 602, 1202, 1802, 8, 608, 1208, 1808, 24, 624, 1224, 1824, 10, 610, 1210, 1810)(3, 603, 1203, 1803, 5, 605, 1205, 1805, 18, 618, 1218, 1818, 13, 613, 1213, 1813)(6, 606, 1206, 1806, 12, 612, 1212, 1812, 33, 633, 1233, 1833, 20, 620, 1220, 1820)(9, 609, 1209, 1809, 22, 622, 1222, 1822, 52, 652, 1252, 1852, 27, 627, 1227, 1827)(11, 611, 1211, 1811, 30, 630, 1230, 1830, 69, 669, 1269, 1869, 32, 632, 1232, 1832)(14, 614, 1214, 1814, 16, 616, 1216, 1816, 42, 642, 1242, 1842, 39, 639, 1239, 1839)(17, 617, 1217, 1817, 38, 638, 1238, 1838, 85, 685, 1285, 1885, 44, 644, 1244, 1844)(19, 619, 1219, 1819, 29, 629, 1229, 1829, 66, 666, 1266, 1866, 47, 647, 1247, 1847)(21, 621, 1221, 1821, 50, 650, 1250, 1850, 109, 709, 1309, 1909, 51, 651, 1251, 1851)(23, 623, 1223, 1823, 25, 625, 1225, 1825, 59, 659, 1259, 1859, 56, 656, 1256, 1856)(26, 626, 1226, 1826, 55, 655, 1255, 1855, 119, 719, 1319, 1919, 61, 661, 1261, 1861)(28, 628, 1228, 1828, 64, 664, 1264, 1864, 137, 737, 1337, 1937, 65, 665, 1265, 1865)(31, 631, 1231, 1831, 36, 636, 1236, 1836, 80, 680, 1280, 1880, 72, 672, 1272, 1872)(34, 634, 1234, 1834, 74, 674, 1274, 1874, 156, 756, 1356, 1956, 77, 677, 1277, 1877)(35, 635, 1235, 1835, 78, 678, 1278, 1878, 165, 765, 1365, 1965, 79, 679, 1279, 1879)(37, 637, 1237, 1837, 82, 682, 1282, 1882, 173, 773, 1373, 1973, 84, 684, 1284, 1884)(40, 640, 1240, 1840, 41, 641, 1241, 1841, 91, 691, 1291, 1891, 90, 690, 1290, 1890)(43, 643, 1243, 1843, 49, 649, 1249, 1849, 106, 706, 1306, 1906, 95, 695, 1295, 1895)(45, 645, 1245, 1845, 46, 646, 1246, 1846, 100, 700, 1300, 1900, 99, 699, 1299, 1899)(48, 648, 1248, 1848, 104, 704, 1304, 1904, 215, 815, 1415, 2015, 105, 705, 1305, 1905)(53, 653, 1253, 1853, 112, 712, 1312, 1912, 230, 830, 1430, 2030, 115, 715, 1315, 1915)(54, 654, 1254, 1854, 116, 716, 1316, 1916, 239, 839, 1439, 2039, 118, 718, 1318, 1918)(57, 657, 1257, 1857, 58, 658, 1258, 1858, 125, 725, 1325, 1925, 124, 724, 1324, 1924)(60, 660, 1260, 1860, 63, 663, 1263, 1863, 134, 734, 1334, 1934, 129, 729, 1329, 1929)(62, 662, 1262, 1862, 132, 732, 1332, 1932, 270, 870, 1470, 2070, 133, 733, 1333, 1933)(67, 667, 1267, 1867, 140, 740, 1340, 1940, 285, 885, 1485, 2085, 143, 743, 1343, 1943)(68, 668, 1268, 1868, 70, 670, 1270, 1870, 149, 749, 1349, 1949, 146, 746, 1346, 1946)(71, 671, 1271, 1871, 145, 745, 1345, 1945, 296, 896, 1496, 2096, 151, 751, 1351, 1951)(73, 673, 1273, 1873, 154, 754, 1354, 1954, 313, 913, 1513, 2113, 155, 755, 1355, 1955)(75, 675, 1275, 1875, 76, 676, 1276, 1876, 160, 760, 1360, 1960, 159, 759, 1359, 1959)(81, 681, 1281, 1881, 168, 768, 1368, 1968, 337, 937, 1537, 2137, 171, 771, 1371, 1971)(83, 683, 1283, 1883, 88, 688, 1288, 1888, 184, 784, 1384, 1984, 176, 776, 1376, 1976)(86, 686, 1286, 1886, 178, 778, 1378, 1978, 354, 954, 1554, 2154, 181, 781, 1381, 1981)(87, 687, 1287, 1887, 182, 782, 1382, 1982, 361, 961, 1561, 2161, 183, 783, 1383, 1983)(89, 689, 1289, 1889, 186, 786, 1386, 1986, 224, 824, 1424, 2024, 108, 708, 1308, 1908)(92, 692, 1292, 1892, 97, 697, 1297, 1897, 201, 801, 1401, 2001, 192, 792, 1392, 1992)(93, 693, 1293, 1893, 94, 694, 1294, 1894, 195, 795, 1395, 1995, 194, 794, 1394, 1994)(96, 696, 1296, 1896, 199, 799, 1399, 1999, 390, 990, 1590, 2190, 200, 800, 1400, 2000)(98, 698, 1298, 1898, 203, 803, 1403, 2003, 331, 931, 1531, 2131, 164, 764, 1364, 1964)(101, 701, 1301, 1901, 103, 703, 1303, 1903, 212, 812, 1412, 2012, 209, 809, 1409, 2009)(102, 702, 1302, 1902, 210, 810, 1410, 2010, 408, 1008, 1608, 2208, 211, 811, 1411, 2011)(107, 707, 1307, 1907, 218, 818, 1418, 2018, 420, 1020, 1620, 2220, 221, 821, 1421, 2021)(110, 710, 1310, 1910, 223, 823, 1423, 2023, 430, 1030, 1630, 2230, 227, 827, 1427, 2027)(111, 711, 1311, 1911, 228, 828, 1428, 2028, 437, 1037, 1637, 2237, 229, 829, 1429, 2029)(113, 713, 1313, 1913, 114, 714, 1314, 1914, 234, 834, 1434, 2034, 233, 833, 1433, 2033)(117, 717, 1317, 1917, 122, 722, 1322, 1922, 250, 850, 1450, 2050, 242, 842, 1442, 2042)(120, 720, 1320, 1920, 244, 844, 1444, 2044, 303, 903, 1503, 2103, 247, 847, 1447, 2047)(121, 721, 1321, 1921, 248, 848, 1448, 2048, 456, 1056, 1656, 2256, 249, 849, 1449, 2049)(123, 723, 1323, 1923, 252, 852, 1452, 2052, 279, 879, 1479, 2079, 136, 736, 1336, 1936)(126, 726, 1326, 1926, 131, 731, 1331, 1931, 267, 867, 1467, 2067, 258, 858, 1458, 2058)(127, 727, 1327, 1927, 128, 728, 1328, 1928, 261, 861, 1461, 2061, 260, 860, 1460, 2060)(130, 730, 1330, 1930, 265, 865, 1465, 2065, 474, 1074, 1674, 2274, 266, 866, 1466, 2066)(135, 735, 1335, 1935, 273, 873, 1473, 2073, 481, 1081, 1681, 2281, 276, 876, 1476, 2076)(138, 738, 1338, 1938, 278, 878, 1478, 2078, 490, 1090, 1690, 2290, 282, 882, 1482, 2082)(139, 739, 1339, 1939, 283, 883, 1483, 2083, 385, 985, 1585, 2185, 284, 884, 1484, 2084)(141, 741, 1341, 1941, 142, 742, 1342, 1942, 289, 889, 1489, 2089, 288, 888, 1488, 2088)(144, 744, 1344, 1944, 293, 893, 1493, 2093, 502, 1102, 1702, 2302, 295, 895, 1495, 2095)(147, 747, 1347, 1947, 148, 748, 1348, 1948, 302, 902, 1502, 2102, 301, 901, 1501, 2101)(150, 750, 1350, 1950, 153, 753, 1353, 1953, 310, 910, 1510, 2110, 306, 906, 1506, 2106)(152, 752, 1352, 1952, 308, 908, 1508, 2108, 428, 1028, 1628, 2228, 309, 909, 1509, 2109)(157, 757, 1357, 1957, 262, 862, 1462, 2062, 264, 864, 1464, 2064, 317, 917, 1517, 2117)(158, 758, 1358, 1958, 318, 918, 1518, 2118, 272, 872, 1472, 2072, 214, 814, 1414, 2014)(161, 761, 1361, 1961, 163, 763, 1363, 1963, 327, 927, 1527, 2127, 324, 924, 1524, 2124)(162, 762, 1362, 1962, 325, 925, 1525, 2125, 529, 1129, 1729, 2329, 326, 926, 1526, 2126)(166, 766, 1366, 1966, 330, 930, 1530, 2130, 435, 1035, 1635, 2235, 334, 934, 1534, 2134)(167, 767, 1367, 1967, 335, 935, 1535, 2135, 355, 955, 1555, 2155, 336, 936, 1536, 2136)(169, 769, 1369, 1969, 170, 770, 1370, 1970, 341, 941, 1541, 2141, 340, 940, 1540, 2140)(172, 772, 1372, 1972, 174, 774, 1374, 1974, 350, 950, 1550, 2150, 347, 947, 1547, 2147)(175, 775, 1375, 1975, 346, 946, 1546, 2146, 543, 1143, 1743, 2343, 352, 952, 1552, 2152)(177, 777, 1377, 1977, 353, 953, 1553, 2153, 304, 904, 1504, 2104, 305, 905, 1505, 2105)(179, 779, 1379, 1979, 180, 780, 1380, 1980, 357, 957, 1557, 2157, 356, 956, 1556, 2156)(185, 785, 1385, 1985, 363, 963, 1563, 2163, 297, 897, 1497, 2097, 366, 966, 1566, 2166)(187, 787, 1387, 1987, 189, 789, 1389, 1989, 373, 973, 1573, 2173, 370, 970, 1570, 2170)(188, 788, 1388, 1988, 371, 971, 1571, 2171, 488, 1088, 1688, 2288, 372, 972, 1572, 2172)(190, 790, 1390, 1990, 191, 791, 1391, 1991, 377, 977, 1577, 2177, 376, 976, 1576, 2176)(193, 793, 1393, 1993, 381, 981, 1581, 2181, 552, 1152, 1752, 2352, 360, 960, 1560, 2160)(196, 796, 1396, 1996, 198, 798, 1398, 1998, 388, 988, 1588, 2188, 286, 886, 1486, 2086)(197, 797, 1397, 1997, 386, 986, 1586, 2186, 533, 1133, 1733, 2333, 387, 987, 1587, 2187)(202, 802, 1402, 2002, 392, 992, 1592, 2192, 566, 1166, 1766, 2366, 395, 995, 1595, 2195)(204, 804, 1404, 2004, 206, 806, 1406, 2006, 364, 964, 1564, 2164, 365, 965, 1565, 2165)(205, 805, 1405, 2005, 393, 993, 1593, 2193, 394, 994, 1594, 2194, 399, 999, 1599, 2199)(207, 807, 1407, 2007, 208, 808, 1408, 2008, 403, 1003, 1603, 2203, 402, 1002, 1602, 2202)(213, 813, 1413, 2013, 411, 1011, 1611, 2211, 542, 1142, 1742, 2342, 345, 945, 1545, 2145)(216, 816, 1416, 2016, 415, 1015, 1615, 2215, 536, 1136, 1736, 2336, 418, 1018, 1618, 2218)(217, 817, 1417, 2017, 407, 1007, 1607, 2207, 287, 887, 1487, 2087, 419, 1019, 1619, 2219)(219, 819, 1419, 2019, 220, 820, 1420, 2020, 424, 1024, 1624, 2224, 423, 1023, 1623, 2223)(222, 822, 1422, 2022, 427, 1027, 1627, 2227, 547, 1147, 1747, 2347, 429, 1029, 1629, 2229)(225, 825, 1425, 2025, 226, 826, 1426, 2026, 434, 1034, 1634, 2234, 433, 1033, 1633, 2233)(231, 831, 1431, 2031, 404, 1004, 1604, 2204, 406, 1006, 1606, 2206, 440, 1040, 1640, 2240)(232, 832, 1432, 2032, 441, 1041, 1641, 2241, 410, 1010, 1610, 2210, 269, 869, 1469, 2069)(235, 835, 1435, 2035, 237, 837, 1437, 2037, 446, 1046, 1646, 2246, 443, 1043, 1643, 2243)(236, 836, 1436, 2036, 444, 1044, 1644, 2244, 582, 1182, 1782, 2382, 445, 1045, 1645, 2245)(238, 838, 1438, 2038, 240, 840, 1440, 2040, 449, 1049, 1649, 2249, 425, 1025, 1625, 2225)(241, 841, 1441, 2041, 426, 1026, 1626, 2226, 511, 1111, 1711, 2311, 451, 1051, 1651, 2251)(243, 843, 1443, 2043, 452, 1052, 1652, 2252, 367, 967, 1567, 2167, 368, 968, 1568, 2168)(245, 845, 1445, 2045, 246, 846, 1446, 2046, 454, 1054, 1654, 2254, 453, 1053, 1653, 2253)(251, 851, 1451, 2051, 458, 1058, 1658, 2258, 431, 1031, 1631, 2231, 351, 951, 1551, 2151)(253, 853, 1453, 2053, 255, 855, 1455, 2055, 464, 1064, 1664, 2264, 462, 1062, 1662, 2262)(254, 854, 1454, 2054, 463, 1063, 1663, 2263, 294, 894, 1494, 2094, 299, 899, 1499, 2099)(256, 856, 1456, 2056, 257, 857, 1457, 2057, 319, 919, 1519, 2119, 321, 921, 1521, 2121)(259, 859, 1459, 2059, 469, 1069, 1669, 2269, 540, 1140, 1740, 2340, 343, 943, 1543, 2143)(263, 863, 1463, 2063, 473, 1073, 1673, 2273, 348, 948, 1548, 2148, 349, 949, 1549, 2149)(268, 868, 1468, 2068, 476, 1076, 1676, 2276, 593, 1193, 1793, 2393, 477, 1077, 1677, 2277)(271, 871, 1471, 2071, 479, 1079, 1679, 2279, 358, 958, 1558, 2158, 359, 959, 1559, 2159)(274, 874, 1474, 2074, 275, 875, 1475, 2075, 485, 1085, 1685, 2285, 484, 1084, 1684, 2284)(277, 877, 1477, 2077, 328, 928, 1528, 2128, 531, 1131, 1731, 2331, 489, 1089, 1689, 2289)(280, 880, 1480, 2080, 281, 881, 1481, 2081, 494, 1094, 1694, 2294, 493, 1093, 1693, 2293)(290, 890, 1490, 2090, 292, 892, 1492, 2092, 501, 1101, 1701, 2301, 499, 1099, 1699, 2299)(291, 891, 1491, 2091, 314, 914, 1514, 2114, 516, 1116, 1716, 2316, 500, 1100, 1700, 2300)(298, 898, 1498, 2098, 506, 1106, 1706, 2306, 576, 1176, 1776, 2376, 465, 1065, 1665, 2265)(300, 900, 1500, 2100, 507, 1107, 1707, 2307, 517, 1117, 1717, 2317, 312, 912, 1512, 2112)(307, 907, 1507, 2107, 409, 1009, 1609, 2209, 571, 1171, 1771, 2371, 455, 1055, 1655, 2255)(311, 911, 1511, 2111, 369, 969, 1569, 2169, 555, 1155, 1755, 2355, 515, 1115, 1715, 2315)(315, 915, 1515, 2115, 316, 916, 1516, 2116, 519, 1119, 1719, 2319, 518, 1118, 1718, 2318)(320, 920, 1520, 2120, 412, 1012, 1612, 2212, 413, 1013, 1613, 2213, 522, 1122, 1722, 2322)(322, 922, 1522, 2122, 323, 923, 1523, 2123, 525, 1125, 1725, 2325, 524, 1124, 1724, 2324)(329, 929, 1529, 2129, 532, 1132, 1732, 2332, 459, 1059, 1659, 2259, 460, 1060, 1660, 2260)(332, 932, 1532, 2132, 333, 933, 1533, 2133, 535, 1135, 1735, 2335, 534, 1134, 1734, 2334)(338, 938, 1538, 2138, 526, 1126, 1726, 2326, 528, 1128, 1728, 2328, 537, 1137, 1737, 2337)(339, 939, 1539, 2139, 538, 1138, 1738, 2338, 530, 1130, 1730, 2330, 512, 1112, 1712, 2312)(342, 942, 1542, 2142, 344, 944, 1544, 2144, 541, 1141, 1741, 2341, 539, 1139, 1739, 2339)(362, 962, 1562, 2162, 436, 1036, 1636, 2236, 432, 1032, 1632, 2232, 553, 1153, 1753, 2353)(374, 974, 1574, 2174, 461, 1061, 1661, 2261, 544, 1144, 1744, 2344, 557, 1157, 1757, 2357)(375, 975, 1575, 2175, 558, 1158, 1758, 2358, 583, 1183, 1783, 2383, 527, 1127, 1727, 2327)(378, 978, 1578, 2178, 380, 980, 1580, 2180, 560, 1160, 1760, 2360, 421, 1021, 1621, 2221)(379, 979, 1579, 2179, 401, 1001, 1601, 2201, 568, 1168, 1768, 2368, 559, 1159, 1759, 2359)(382, 982, 1582, 2182, 384, 984, 1584, 2184, 509, 1109, 1709, 2309, 556, 1156, 1756, 2356)(383, 983, 1583, 2183, 438, 1038, 1638, 2238, 439, 1039, 1639, 2239, 561, 1161, 1761, 2361)(389, 989, 1589, 2189, 398, 998, 1598, 2198, 487, 1087, 1687, 2287, 554, 1154, 1754, 2354)(391, 991, 1591, 2191, 562, 1162, 1762, 2362, 422, 1022, 1622, 2222, 442, 1042, 1642, 2242)(396, 996, 1596, 2196, 397, 997, 1597, 2197, 503, 1103, 1703, 2303, 486, 1086, 1686, 2286)(400, 1000, 1600, 2200, 567, 1167, 1767, 2367, 491, 1091, 1691, 2291, 450, 1050, 1650, 2250)(405, 1005, 1605, 2205, 523, 1123, 1723, 2323, 447, 1047, 1647, 2247, 448, 1048, 1648, 2248)(414, 1014, 1614, 2214, 480, 1080, 1680, 2280, 595, 1195, 1795, 2395, 572, 1172, 1772, 2372)(416, 1016, 1616, 2216, 417, 1017, 1617, 2217, 575, 1175, 1775, 2375, 574, 1174, 1774, 2374)(457, 1057, 1657, 2257, 495, 1095, 1695, 2295, 492, 1092, 1692, 2292, 588, 1188, 1788, 2388)(466, 1066, 1666, 2266, 545, 1145, 1745, 2345, 598, 1198, 1798, 2398, 581, 1181, 1781, 2381)(467, 1067, 1667, 2267, 468, 1068, 1668, 2268, 590, 1190, 1790, 2390, 482, 1082, 1682, 2282)(470, 1070, 1670, 2270, 472, 1072, 1672, 2272, 578, 1178, 1778, 2378, 589, 1189, 1789, 2389)(471, 1071, 1671, 2271, 496, 1096, 1696, 2296, 497, 1097, 1697, 2297, 591, 1191, 1791, 2391)(475, 1075, 1675, 2275, 592, 1192, 1792, 2392, 483, 1083, 1683, 2283, 498, 1098, 1698, 2298)(478, 1078, 1678, 2278, 504, 1104, 1704, 2304, 505, 1105, 1705, 2305, 594, 1194, 1794, 2394)(508, 1108, 1708, 2308, 510, 1110, 1710, 2310, 599, 1199, 1799, 2399, 573, 1173, 1773, 2373)(513, 1113, 1713, 2313, 514, 1114, 1714, 2314, 569, 1169, 1769, 2369, 570, 1170, 1770, 2370)(520, 1120, 1720, 2320, 521, 1121, 1721, 2321, 563, 1163, 1763, 2363, 585, 1185, 1785, 2385)(546, 1146, 1746, 2346, 600, 1200, 1800, 2400, 580, 1180, 1780, 2380, 548, 1148, 1748, 2348)(549, 1149, 1749, 2349, 564, 1164, 1764, 2364, 565, 1165, 1765, 2365, 584, 1184, 1784, 2384)(550, 1150, 1750, 2350, 551, 1151, 1751, 2351, 577, 1177, 1777, 2377, 579, 1179, 1779, 2379)(586, 1186, 1786, 2386, 587, 1187, 1787, 2387, 596, 1196, 1796, 2396, 597, 1197, 1797, 2397)
	L = (1, 602)(2, 605)(3, 611)(4, 606)(5, 601)(6, 616)(7, 621)(8, 609)(9, 625)(10, 628)(11, 612)(12, 603)(13, 635)(14, 637)(15, 617)(16, 604)(17, 641)(18, 619)(19, 646)(20, 648)(21, 622)(22, 607)(23, 654)(24, 626)(25, 608)(26, 658)(27, 662)(28, 629)(29, 610)(30, 631)(31, 670)(32, 673)(33, 634)(34, 676)(35, 636)(36, 613)(37, 638)(38, 614)(39, 687)(40, 689)(41, 615)(42, 643)(43, 694)(44, 696)(45, 698)(46, 618)(47, 702)(48, 649)(49, 620)(50, 640)(51, 711)(52, 653)(53, 714)(54, 655)(55, 623)(56, 721)(57, 723)(58, 624)(59, 660)(60, 728)(61, 730)(62, 663)(63, 627)(64, 657)(65, 739)(66, 667)(67, 742)(68, 744)(69, 671)(70, 630)(71, 748)(72, 752)(73, 674)(74, 632)(75, 758)(76, 633)(77, 762)(78, 645)(79, 767)(80, 681)(81, 770)(82, 683)(83, 774)(84, 777)(85, 686)(86, 780)(87, 688)(88, 639)(89, 650)(90, 788)(91, 692)(92, 791)(93, 793)(94, 642)(95, 797)(96, 697)(97, 644)(98, 678)(99, 805)(100, 701)(101, 808)(102, 703)(103, 647)(104, 675)(105, 817)(106, 707)(107, 820)(108, 822)(109, 710)(110, 826)(111, 712)(112, 651)(113, 832)(114, 652)(115, 836)(116, 717)(117, 840)(118, 843)(119, 720)(120, 846)(121, 722)(122, 656)(123, 664)(124, 854)(125, 726)(126, 857)(127, 859)(128, 659)(129, 863)(130, 731)(131, 661)(132, 713)(133, 872)(134, 735)(135, 875)(136, 877)(137, 738)(138, 881)(139, 740)(140, 665)(141, 887)(142, 666)(143, 891)(144, 745)(145, 668)(146, 898)(147, 900)(148, 669)(149, 750)(150, 905)(151, 907)(152, 753)(153, 672)(154, 747)(155, 861)(156, 757)(157, 916)(158, 704)(159, 920)(160, 761)(161, 923)(162, 763)(163, 677)(164, 929)(165, 766)(166, 933)(167, 768)(168, 679)(169, 939)(170, 680)(171, 943)(172, 945)(173, 775)(174, 682)(175, 949)(176, 850)(177, 778)(178, 684)(179, 955)(180, 685)(181, 882)(182, 693)(183, 962)(184, 785)(185, 965)(186, 787)(187, 968)(188, 789)(189, 690)(190, 975)(191, 691)(192, 979)(193, 782)(194, 983)(195, 796)(196, 884)(197, 798)(198, 695)(199, 779)(200, 991)(201, 802)(202, 994)(203, 804)(204, 997)(205, 806)(206, 699)(207, 1001)(208, 700)(209, 1005)(210, 741)(211, 1010)(212, 813)(213, 1013)(214, 1014)(215, 816)(216, 1017)(217, 818)(218, 705)(219, 1022)(220, 706)(221, 1026)(222, 823)(223, 708)(224, 969)(225, 1032)(226, 709)(227, 1018)(228, 825)(229, 1003)(230, 831)(231, 1039)(232, 732)(233, 1023)(234, 835)(235, 1042)(236, 837)(237, 715)(238, 821)(239, 841)(240, 716)(241, 1048)(242, 964)(243, 844)(244, 718)(245, 990)(246, 719)(247, 751)(248, 727)(249, 1057)(250, 851)(251, 776)(252, 853)(253, 1060)(254, 855)(255, 724)(256, 1066)(257, 725)(258, 960)(259, 848)(260, 1071)(261, 862)(262, 755)(263, 864)(264, 729)(265, 845)(266, 1075)(267, 868)(268, 961)(269, 1078)(270, 871)(271, 1080)(272, 873)(273, 733)(274, 1083)(275, 734)(276, 1087)(277, 878)(278, 736)(279, 1061)(280, 1092)(281, 737)(282, 959)(283, 880)(284, 795)(285, 886)(286, 1097)(287, 810)(288, 1084)(289, 890)(290, 1098)(291, 892)(292, 743)(293, 894)(294, 1046)(295, 1103)(296, 897)(297, 1105)(298, 899)(299, 746)(300, 754)(301, 1109)(302, 903)(303, 970)(304, 1111)(305, 749)(306, 1094)(307, 847)(308, 769)(309, 824)(310, 911)(311, 1114)(312, 995)(313, 914)(314, 1096)(315, 1037)(316, 756)(317, 952)(318, 919)(319, 1067)(320, 921)(321, 759)(322, 1123)(323, 760)(324, 1127)(325, 915)(326, 1130)(327, 928)(328, 1088)(329, 930)(330, 764)(331, 998)(332, 1074)(333, 765)(334, 827)(335, 932)(336, 1125)(337, 938)(338, 1056)(339, 908)(340, 833)(341, 942)(342, 1041)(343, 944)(344, 771)(345, 946)(346, 772)(347, 1145)(348, 1146)(349, 773)(350, 951)(351, 1029)(352, 1121)(353, 948)(354, 906)(355, 799)(356, 1149)(357, 958)(358, 1151)(359, 781)(360, 1068)(361, 867)(362, 963)(363, 783)(364, 1000)(365, 784)(366, 895)(367, 1154)(368, 786)(369, 909)(370, 902)(371, 790)(372, 879)(373, 974)(374, 1156)(375, 971)(376, 888)(377, 978)(378, 1019)(379, 980)(380, 792)(381, 982)(382, 1141)(383, 984)(384, 794)(385, 1044)(386, 819)(387, 931)(388, 989)(389, 1165)(390, 865)(391, 992)(392, 800)(393, 807)(394, 801)(395, 1116)(396, 876)(397, 803)(398, 987)(399, 1117)(400, 842)(401, 993)(402, 1118)(403, 1004)(404, 829)(405, 1006)(406, 809)(407, 1016)(408, 1009)(409, 1104)(410, 1011)(411, 811)(412, 922)(413, 812)(414, 1015)(415, 814)(416, 1171)(417, 815)(418, 934)(419, 977)(420, 1021)(421, 1176)(422, 986)(423, 940)(424, 1025)(425, 1138)(426, 838)(427, 1028)(428, 1101)(429, 950)(430, 1031)(431, 1175)(432, 828)(433, 1178)(434, 1035)(435, 1062)(436, 1077)(437, 925)(438, 985)(439, 830)(440, 1051)(441, 941)(442, 834)(443, 1181)(444, 1038)(445, 1183)(446, 893)(447, 1184)(448, 839)(449, 1050)(450, 1089)(451, 1148)(452, 1047)(453, 1185)(454, 1055)(455, 1187)(456, 937)(457, 1058)(458, 849)(459, 1143)(460, 852)(461, 972)(462, 1034)(463, 856)(464, 1065)(465, 1189)(466, 1063)(467, 918)(468, 858)(469, 1070)(470, 1160)(471, 1072)(472, 860)(473, 874)(474, 935)(475, 1076)(476, 866)(477, 1129)(478, 1079)(479, 869)(480, 870)(481, 1082)(482, 1115)(483, 1073)(484, 976)(485, 1086)(486, 1158)(487, 996)(488, 927)(489, 1049)(490, 1091)(491, 1195)(492, 883)(493, 1113)(494, 954)(495, 1137)(496, 913)(497, 885)(498, 889)(499, 1112)(500, 1198)(501, 1027)(502, 1045)(503, 966)(504, 1008)(505, 896)(506, 904)(507, 1108)(508, 1172)(509, 1110)(510, 901)(511, 1106)(512, 1193)(513, 1197)(514, 910)(515, 1081)(516, 912)(517, 1167)(518, 1170)(519, 1120)(520, 1186)(521, 917)(522, 947)(523, 1012)(524, 956)(525, 1126)(526, 936)(527, 1128)(528, 924)(529, 1036)(530, 1131)(531, 926)(532, 1133)(533, 1163)(534, 1200)(535, 1136)(536, 1173)(537, 1182)(538, 1024)(539, 1157)(540, 1159)(541, 981)(542, 1139)(543, 1144)(544, 1059)(545, 1122)(546, 953)(547, 1100)(548, 1040)(549, 1124)(550, 1191)(551, 957)(552, 1140)(553, 1177)(554, 1155)(555, 967)(556, 973)(557, 1142)(558, 1085)(559, 1152)(560, 1069)(561, 1180)(562, 1053)(563, 1132)(564, 1150)(565, 988)(566, 1043)(567, 999)(568, 1169)(569, 1190)(570, 1002)(571, 1007)(572, 1107)(573, 1135)(574, 1188)(575, 1030)(576, 1020)(577, 1194)(578, 1179)(579, 1033)(580, 1199)(581, 1166)(582, 1095)(583, 1102)(584, 1052)(585, 1162)(586, 1119)(587, 1054)(588, 1196)(589, 1064)(590, 1168)(591, 1164)(592, 1134)(593, 1099)(594, 1153)(595, 1090)(596, 1174)(597, 1093)(598, 1147)(599, 1161)(600, 1192)(1201, 1803)(1202, 1807)(1203, 1806)(1204, 1814)(1205, 1810)(1206, 1801)(1207, 1809)(1208, 1823)(1209, 1802)(1210, 1819)(1211, 1813)(1212, 1832)(1213, 1831)(1214, 1817)(1215, 1840)(1216, 1820)(1217, 1804)(1218, 1845)(1219, 1805)(1220, 1843)(1221, 1815)(1222, 1851)(1223, 1826)(1224, 1857)(1225, 1827)(1226, 1808)(1227, 1860)(1228, 1824)(1229, 1865)(1230, 1868)(1231, 1811)(1232, 1834)(1233, 1875)(1234, 1812)(1235, 1818)(1236, 1879)(1237, 1839)(1238, 1884)(1239, 1883)(1240, 1821)(1241, 1844)(1242, 1893)(1243, 1816)(1244, 1892)(1245, 1835)(1246, 1847)(1247, 1901)(1248, 1833)(1249, 1905)(1250, 1908)(1251, 1853)(1252, 1913)(1253, 1822)(1254, 1856)(1255, 1918)(1256, 1917)(1257, 1828)(1258, 1861)(1259, 1927)(1260, 1825)(1261, 1926)(1262, 1852)(1263, 1933)(1264, 1936)(1265, 1867)(1266, 1941)(1267, 1829)(1268, 1871)(1269, 1947)(1270, 1872)(1271, 1830)(1272, 1950)(1273, 1869)(1274, 1955)(1275, 1848)(1276, 1877)(1277, 1961)(1278, 1964)(1279, 1881)(1280, 1969)(1281, 1836)(1282, 1972)(1283, 1837)(1284, 1886)(1285, 1979)(1286, 1838)(1287, 1842)(1288, 1983)(1289, 1890)(1290, 1987)(1291, 1990)(1292, 1841)(1293, 1887)(1294, 1895)(1295, 1996)(1296, 1885)(1297, 2000)(1298, 1899)(1299, 2004)(1300, 2007)(1301, 1846)(1302, 1866)(1303, 2011)(1304, 2014)(1305, 1907)(1306, 2019)(1307, 1849)(1308, 1910)(1309, 2025)(1310, 1850)(1311, 1909)(1312, 2029)(1313, 1862)(1314, 1915)(1315, 2035)(1316, 2038)(1317, 1854)(1318, 1920)(1319, 2045)(1320, 1855)(1321, 1859)(1322, 2049)(1323, 1924)(1324, 2053)(1325, 2056)(1326, 1858)(1327, 1921)(1328, 1929)(1329, 2062)(1330, 1919)(1331, 2066)(1332, 2069)(1333, 1935)(1334, 2074)(1335, 1863)(1336, 1938)(1337, 2080)(1338, 1864)(1339, 1937)(1340, 2084)(1341, 1902)(1342, 1943)(1343, 2090)(1344, 1946)(1345, 2095)(1346, 2094)(1347, 1873)(1348, 1951)(1349, 2104)(1350, 1870)(1351, 2103)(1352, 1880)(1353, 2109)(1354, 2112)(1355, 1957)(1356, 2115)(1357, 1874)(1358, 1959)(1359, 2119)(1360, 2122)(1361, 1876)(1362, 1956)(1363, 2126)(1364, 1966)(1365, 2132)(1366, 1878)(1367, 1965)(1368, 2136)(1369, 1952)(1370, 1971)(1371, 2142)(1372, 1975)(1373, 2148)(1374, 1976)(1375, 1882)(1376, 2151)(1377, 1973)(1378, 2105)(1379, 1896)(1380, 1981)(1381, 2158)(1382, 2160)(1383, 1985)(1384, 2164)(1385, 1888)(1386, 2167)(1387, 1889)(1388, 1891)(1389, 2172)(1390, 1988)(1391, 1992)(1392, 2178)(1393, 1994)(1394, 2182)(1395, 2185)(1396, 1894)(1397, 1906)(1398, 2187)(1399, 2135)(1400, 2002)(1401, 2193)(1402, 1897)(1403, 2196)(1404, 1898)(1405, 1900)(1406, 2199)(1407, 2005)(1408, 2009)(1409, 2204)(1410, 2207)(1411, 2013)(1412, 2212)(1413, 1903)(1414, 2016)(1415, 2216)(1416, 1904)(1417, 2015)(1418, 2219)(1419, 1997)(1420, 2021)(1421, 2225)(1422, 2024)(1423, 2229)(1424, 2228)(1425, 1911)(1426, 2027)(1427, 2235)(1428, 2236)(1429, 2031)(1430, 2238)(1431, 1912)(1432, 2033)(1433, 2141)(1434, 2222)(1435, 1914)(1436, 2030)(1437, 2245)(1438, 2041)(1439, 2247)(1440, 2042)(1441, 1916)(1442, 2250)(1443, 2039)(1444, 2168)(1445, 1930)(1446, 2047)(1447, 2255)(1448, 2143)(1449, 2051)(1450, 1984)(1451, 1922)(1452, 2259)(1453, 1923)(1454, 1925)(1455, 2099)(1456, 2054)(1457, 2058)(1458, 2267)(1459, 2060)(1460, 2270)(1461, 2113)(1462, 1928)(1463, 1934)(1464, 2149)(1465, 1999)(1466, 2068)(1467, 1982)(1468, 1931)(1469, 2071)(1470, 2214)(1471, 1932)(1472, 2070)(1473, 2118)(1474, 2063)(1475, 2076)(1476, 2286)(1477, 2079)(1478, 2289)(1479, 2288)(1480, 1939)(1481, 2082)(1482, 2154)(1483, 2295)(1484, 2086)(1485, 2296)(1486, 1940)(1487, 2088)(1488, 2177)(1489, 2283)(1490, 1942)(1491, 2085)(1492, 2300)(1493, 2037)(1494, 1944)(1495, 2097)(1496, 2304)(1497, 1945)(1498, 1949)(1499, 2265)(1500, 2101)(1501, 2308)(1502, 2173)(1503, 1948)(1504, 2098)(1505, 2106)(1506, 1978)(1507, 2096)(1508, 2312)(1509, 2111)(1510, 2313)(1511, 1953)(1512, 2114)(1513, 2271)(1514, 1954)(1515, 1962)(1516, 2117)(1517, 2320)(1518, 2282)(1519, 1958)(1520, 1960)(1521, 2322)(1522, 2120)(1523, 2124)(1524, 2326)(1525, 2028)(1526, 2128)(1527, 2171)(1528, 1963)(1529, 2131)(1530, 2260)(1531, 2333)(1532, 1967)(1533, 2134)(1534, 2336)(1535, 2065)(1536, 2138)(1537, 2048)(1538, 1968)(1539, 2140)(1540, 2224)(1541, 2032)(1542, 1970)(1543, 2137)(1544, 2340)(1545, 2147)(1546, 2342)(1547, 2213)(1548, 1977)(1549, 2152)(1550, 2347)(1551, 1974)(1552, 2064)(1553, 2348)(1554, 2081)(1555, 2156)(1556, 2325)(1557, 2350)(1558, 1980)(1559, 2290)(1560, 2067)(1561, 2277)(1562, 2161)(1563, 2353)(1564, 2050)(1565, 2166)(1566, 2197)(1567, 2169)(1568, 2170)(1569, 1986)(1570, 2044)(1571, 2327)(1572, 2174)(1573, 2309)(1574, 1989)(1575, 2176)(1576, 2285)(1577, 2087)(1578, 1991)(1579, 2001)(1580, 2359)(1581, 2144)(1582, 1993)(1583, 1995)(1584, 2361)(1585, 2183)(1586, 2362)(1587, 2189)(1588, 2364)(1589, 1998)(1590, 2253)(1591, 2190)(1592, 2242)(1593, 2179)(1594, 2195)(1595, 2317)(1596, 2198)(1597, 2165)(1598, 2003)(1599, 2200)(1600, 2006)(1601, 2202)(1602, 2369)(1603, 2237)(1604, 2008)(1605, 2012)(1606, 2248)(1607, 2209)(1608, 2278)(1609, 2010)(1610, 2208)(1611, 2241)(1612, 2205)(1613, 2145)(1614, 2072)(1615, 2372)(1616, 2017)(1617, 2218)(1618, 2230)(1619, 2221)(1620, 2306)(1621, 2018)(1622, 2223)(1623, 2034)(1624, 2139)(1625, 2020)(1626, 2220)(1627, 2092)(1628, 2022)(1629, 2231)(1630, 2217)(1631, 2023)(1632, 2233)(1633, 2377)(1634, 2264)(1635, 2026)(1636, 2125)(1637, 2318)(1638, 2036)(1639, 2240)(1640, 2380)(1641, 2339)(1642, 2243)(1643, 2192)(1644, 2083)(1645, 2093)(1646, 2263)(1647, 2043)(1648, 2251)(1649, 2331)(1650, 2040)(1651, 2206)(1652, 2365)(1653, 2191)(1654, 2386)(1655, 2046)(1656, 2337)(1657, 2256)(1658, 2388)(1659, 2261)(1660, 2262)(1661, 2052)(1662, 2130)(1663, 2381)(1664, 2378)(1665, 2055)(1666, 2121)(1667, 2057)(1668, 2352)(1669, 2180)(1670, 2059)(1671, 2061)(1672, 2391)(1673, 2392)(1674, 2334)(1675, 2274)(1676, 2298)(1677, 2162)(1678, 2210)(1679, 2394)(1680, 2159)(1681, 2355)(1682, 2073)(1683, 2284)(1684, 2089)(1685, 2175)(1686, 2075)(1687, 2281)(1688, 2077)(1689, 2291)(1690, 2280)(1691, 2078)(1692, 2293)(1693, 2396)(1694, 2110)(1695, 2244)(1696, 2091)(1697, 2188)(1698, 2299)(1699, 2276)(1700, 2227)(1701, 2108)(1702, 2358)(1703, 2302)(1704, 2107)(1705, 2163)(1706, 2226)(1707, 2395)(1708, 2100)(1709, 2102)(1710, 2184)(1711, 2153)(1712, 2301)(1713, 2294)(1714, 2315)(1715, 2390)(1716, 2366)(1717, 2194)(1718, 2203)(1719, 2397)(1720, 2116)(1721, 2343)(1722, 2266)(1723, 2324)(1724, 2384)(1725, 2155)(1726, 2123)(1727, 2127)(1728, 2383)(1729, 2393)(1730, 2329)(1731, 2338)(1732, 2321)(1733, 2129)(1734, 2275)(1735, 2399)(1736, 2133)(1737, 2257)(1738, 2249)(1739, 2211)(1740, 2181)(1741, 2356)(1742, 2344)(1743, 2332)(1744, 2146)(1745, 2150)(1746, 2273)(1747, 2345)(1748, 2311)(1749, 2157)(1750, 2349)(1751, 2279)(1752, 2368)(1753, 2305)(1754, 2252)(1755, 2287)(1756, 2357)(1757, 2341)(1758, 2303)(1759, 2269)(1760, 2389)(1761, 2310)(1762, 2363)(1763, 2186)(1764, 2297)(1765, 2354)(1766, 2398)(1767, 2307)(1768, 2268)(1769, 2201)(1770, 2319)(1771, 2374)(1772, 2373)(1773, 2215)(1774, 2387)(1775, 2258)(1776, 2360)(1777, 2232)(1778, 2234)(1779, 2272)(1780, 2239)(1781, 2246)(1782, 2328)(1783, 2382)(1784, 2323)(1785, 2254)(1786, 2385)(1787, 2371)(1788, 2375)(1789, 2376)(1790, 2314)(1791, 2379)(1792, 2346)(1793, 2330)(1794, 2351)(1795, 2367)(1796, 2292)(1797, 2370)(1798, 2316)(1799, 2400)(1800, 2335)
	local type(s) :: { ( 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3 ) }
Outer automorphisms :: reflexible
Dual of E26.1527
Transitivity :: VT+
Graph::
	v = 150 e = 1200 f = 1000
	degree seq :: [ 16^150 ]

E26.1529 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 4})
Quotient :: loop^2
Aut^+ = $<600, 150>$ (small group id <600, 150>)
Aut   = $<1200, 947>$ (small group id <1200, 947>)
|r| :: 2
Presentation :: [ Y3, R^2, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, (Y1^-1 * Y2^-1)^4, (Y2 * Y1^-1)^6, (Y1^-1 * Y3^-1 * Y2^-1)^4, Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, (Y2^-1, Y1^-1)^4, (Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1)^3 ]
Map:: polyhedral non-degenerate
	R = (1, 601, 1201, 1801)(2, 602, 1202, 1802)(3, 603, 1203, 1803)(4, 604, 1204, 1804)(5, 605, 1205, 1805)(6, 606, 1206, 1806)(7, 607, 1207, 1807)(8, 608, 1208, 1808)(9, 609, 1209, 1809)(10, 610, 1210, 1810)(11, 611, 1211, 1811)(12, 612, 1212, 1812)(13, 613, 1213, 1813)(14, 614, 1214, 1814)(15, 615, 1215, 1815)(16, 616, 1216, 1816)(17, 617, 1217, 1817)(18, 618, 1218, 1818)(19, 619, 1219, 1819)(20, 620, 1220, 1820)(21, 621, 1221, 1821)(22, 622, 1222, 1822)(23, 623, 1223, 1823)(24, 624, 1224, 1824)(25, 625, 1225, 1825)(26, 626, 1226, 1826)(27, 627, 1227, 1827)(28, 628, 1228, 1828)(29, 629, 1229, 1829)(30, 630, 1230, 1830)(31, 631, 1231, 1831)(32, 632, 1232, 1832)(33, 633, 1233, 1833)(34, 634, 1234, 1834)(35, 635, 1235, 1835)(36, 636, 1236, 1836)(37, 637, 1237, 1837)(38, 638, 1238, 1838)(39, 639, 1239, 1839)(40, 640, 1240, 1840)(41, 641, 1241, 1841)(42, 642, 1242, 1842)(43, 643, 1243, 1843)(44, 644, 1244, 1844)(45, 645, 1245, 1845)(46, 646, 1246, 1846)(47, 647, 1247, 1847)(48, 648, 1248, 1848)(49, 649, 1249, 1849)(50, 650, 1250, 1850)(51, 651, 1251, 1851)(52, 652, 1252, 1852)(53, 653, 1253, 1853)(54, 654, 1254, 1854)(55, 655, 1255, 1855)(56, 656, 1256, 1856)(57, 657, 1257, 1857)(58, 658, 1258, 1858)(59, 659, 1259, 1859)(60, 660, 1260, 1860)(61, 661, 1261, 1861)(62, 662, 1262, 1862)(63, 663, 1263, 1863)(64, 664, 1264, 1864)(65, 665, 1265, 1865)(66, 666, 1266, 1866)(67, 667, 1267, 1867)(68, 668, 1268, 1868)(69, 669, 1269, 1869)(70, 670, 1270, 1870)(71, 671, 1271, 1871)(72, 672, 1272, 1872)(73, 673, 1273, 1873)(74, 674, 1274, 1874)(75, 675, 1275, 1875)(76, 676, 1276, 1876)(77, 677, 1277, 1877)(78, 678, 1278, 1878)(79, 679, 1279, 1879)(80, 680, 1280, 1880)(81, 681, 1281, 1881)(82, 682, 1282, 1882)(83, 683, 1283, 1883)(84, 684, 1284, 1884)(85, 685, 1285, 1885)(86, 686, 1286, 1886)(87, 687, 1287, 1887)(88, 688, 1288, 1888)(89, 689, 1289, 1889)(90, 690, 1290, 1890)(91, 691, 1291, 1891)(92, 692, 1292, 1892)(93, 693, 1293, 1893)(94, 694, 1294, 1894)(95, 695, 1295, 1895)(96, 696, 1296, 1896)(97, 697, 1297, 1897)(98, 698, 1298, 1898)(99, 699, 1299, 1899)(100, 700, 1300, 1900)(101, 701, 1301, 1901)(102, 702, 1302, 1902)(103, 703, 1303, 1903)(104, 704, 1304, 1904)(105, 705, 1305, 1905)(106, 706, 1306, 1906)(107, 707, 1307, 1907)(108, 708, 1308, 1908)(109, 709, 1309, 1909)(110, 710, 1310, 1910)(111, 711, 1311, 1911)(112, 712, 1312, 1912)(113, 713, 1313, 1913)(114, 714, 1314, 1914)(115, 715, 1315, 1915)(116, 716, 1316, 1916)(117, 717, 1317, 1917)(118, 718, 1318, 1918)(119, 719, 1319, 1919)(120, 720, 1320, 1920)(121, 721, 1321, 1921)(122, 722, 1322, 1922)(123, 723, 1323, 1923)(124, 724, 1324, 1924)(125, 725, 1325, 1925)(126, 726, 1326, 1926)(127, 727, 1327, 1927)(128, 728, 1328, 1928)(129, 729, 1329, 1929)(130, 730, 1330, 1930)(131, 731, 1331, 1931)(132, 732, 1332, 1932)(133, 733, 1333, 1933)(134, 734, 1334, 1934)(135, 735, 1335, 1935)(136, 736, 1336, 1936)(137, 737, 1337, 1937)(138, 738, 1338, 1938)(139, 739, 1339, 1939)(140, 740, 1340, 1940)(141, 741, 1341, 1941)(142, 742, 1342, 1942)(143, 743, 1343, 1943)(144, 744, 1344, 1944)(145, 745, 1345, 1945)(146, 746, 1346, 1946)(147, 747, 1347, 1947)(148, 748, 1348, 1948)(149, 749, 1349, 1949)(150, 750, 1350, 1950)(151, 751, 1351, 1951)(152, 752, 1352, 1952)(153, 753, 1353, 1953)(154, 754, 1354, 1954)(155, 755, 1355, 1955)(156, 756, 1356, 1956)(157, 757, 1357, 1957)(158, 758, 1358, 1958)(159, 759, 1359, 1959)(160, 760, 1360, 1960)(161, 761, 1361, 1961)(162, 762, 1362, 1962)(163, 763, 1363, 1963)(164, 764, 1364, 1964)(165, 765, 1365, 1965)(166, 766, 1366, 1966)(167, 767, 1367, 1967)(168, 768, 1368, 1968)(169, 769, 1369, 1969)(170, 770, 1370, 1970)(171, 771, 1371, 1971)(172, 772, 1372, 1972)(173, 773, 1373, 1973)(174, 774, 1374, 1974)(175, 775, 1375, 1975)(176, 776, 1376, 1976)(177, 777, 1377, 1977)(178, 778, 1378, 1978)(179, 779, 1379, 1979)(180, 780, 1380, 1980)(181, 781, 1381, 1981)(182, 782, 1382, 1982)(183, 783, 1383, 1983)(184, 784, 1384, 1984)(185, 785, 1385, 1985)(186, 786, 1386, 1986)(187, 787, 1387, 1987)(188, 788, 1388, 1988)(189, 789, 1389, 1989)(190, 790, 1390, 1990)(191, 791, 1391, 1991)(192, 792, 1392, 1992)(193, 793, 1393, 1993)(194, 794, 1394, 1994)(195, 795, 1395, 1995)(196, 796, 1396, 1996)(197, 797, 1397, 1997)(198, 798, 1398, 1998)(199, 799, 1399, 1999)(200, 800, 1400, 2000)(201, 801, 1401, 2001)(202, 802, 1402, 2002)(203, 803, 1403, 2003)(204, 804, 1404, 2004)(205, 805, 1405, 2005)(206, 806, 1406, 2006)(207, 807, 1407, 2007)(208, 808, 1408, 2008)(209, 809, 1409, 2009)(210, 810, 1410, 2010)(211, 811, 1411, 2011)(212, 812, 1412, 2012)(213, 813, 1413, 2013)(214, 814, 1414, 2014)(215, 815, 1415, 2015)(216, 816, 1416, 2016)(217, 817, 1417, 2017)(218, 818, 1418, 2018)(219, 819, 1419, 2019)(220, 820, 1420, 2020)(221, 821, 1421, 2021)(222, 822, 1422, 2022)(223, 823, 1423, 2023)(224, 824, 1424, 2024)(225, 825, 1425, 2025)(226, 826, 1426, 2026)(227, 827, 1427, 2027)(228, 828, 1428, 2028)(229, 829, 1429, 2029)(230, 830, 1430, 2030)(231, 831, 1431, 2031)(232, 832, 1432, 2032)(233, 833, 1433, 2033)(234, 834, 1434, 2034)(235, 835, 1435, 2035)(236, 836, 1436, 2036)(237, 837, 1437, 2037)(238, 838, 1438, 2038)(239, 839, 1439, 2039)(240, 840, 1440, 2040)(241, 841, 1441, 2041)(242, 842, 1442, 2042)(243, 843, 1443, 2043)(244, 844, 1444, 2044)(245, 845, 1445, 2045)(246, 846, 1446, 2046)(247, 847, 1447, 2047)(248, 848, 1448, 2048)(249, 849, 1449, 2049)(250, 850, 1450, 2050)(251, 851, 1451, 2051)(252, 852, 1452, 2052)(253, 853, 1453, 2053)(254, 854, 1454, 2054)(255, 855, 1455, 2055)(256, 856, 1456, 2056)(257, 857, 1457, 2057)(258, 858, 1458, 2058)(259, 859, 1459, 2059)(260, 860, 1460, 2060)(261, 861, 1461, 2061)(262, 862, 1462, 2062)(263, 863, 1463, 2063)(264, 864, 1464, 2064)(265, 865, 1465, 2065)(266, 866, 1466, 2066)(267, 867, 1467, 2067)(268, 868, 1468, 2068)(269, 869, 1469, 2069)(270, 870, 1470, 2070)(271, 871, 1471, 2071)(272, 872, 1472, 2072)(273, 873, 1473, 2073)(274, 874, 1474, 2074)(275, 875, 1475, 2075)(276, 876, 1476, 2076)(277, 877, 1477, 2077)(278, 878, 1478, 2078)(279, 879, 1479, 2079)(280, 880, 1480, 2080)(281, 881, 1481, 2081)(282, 882, 1482, 2082)(283, 883, 1483, 2083)(284, 884, 1484, 2084)(285, 885, 1485, 2085)(286, 886, 1486, 2086)(287, 887, 1487, 2087)(288, 888, 1488, 2088)(289, 889, 1489, 2089)(290, 890, 1490, 2090)(291, 891, 1491, 2091)(292, 892, 1492, 2092)(293, 893, 1493, 2093)(294, 894, 1494, 2094)(295, 895, 1495, 2095)(296, 896, 1496, 2096)(297, 897, 1497, 2097)(298, 898, 1498, 2098)(299, 899, 1499, 2099)(300, 900, 1500, 2100)(301, 901, 1501, 2101)(302, 902, 1502, 2102)(303, 903, 1503, 2103)(304, 904, 1504, 2104)(305, 905, 1505, 2105)(306, 906, 1506, 2106)(307, 907, 1507, 2107)(308, 908, 1508, 2108)(309, 909, 1509, 2109)(310, 910, 1510, 2110)(311, 911, 1511, 2111)(312, 912, 1512, 2112)(313, 913, 1513, 2113)(314, 914, 1514, 2114)(315, 915, 1515, 2115)(316, 916, 1516, 2116)(317, 917, 1517, 2117)(318, 918, 1518, 2118)(319, 919, 1519, 2119)(320, 920, 1520, 2120)(321, 921, 1521, 2121)(322, 922, 1522, 2122)(323, 923, 1523, 2123)(324, 924, 1524, 2124)(325, 925, 1525, 2125)(326, 926, 1526, 2126)(327, 927, 1527, 2127)(328, 928, 1528, 2128)(329, 929, 1529, 2129)(330, 930, 1530, 2130)(331, 931, 1531, 2131)(332, 932, 1532, 2132)(333, 933, 1533, 2133)(334, 934, 1534, 2134)(335, 935, 1535, 2135)(336, 936, 1536, 2136)(337, 937, 1537, 2137)(338, 938, 1538, 2138)(339, 939, 1539, 2139)(340, 940, 1540, 2140)(341, 941, 1541, 2141)(342, 942, 1542, 2142)(343, 943, 1543, 2143)(344, 944, 1544, 2144)(345, 945, 1545, 2145)(346, 946, 1546, 2146)(347, 947, 1547, 2147)(348, 948, 1548, 2148)(349, 949, 1549, 2149)(350, 950, 1550, 2150)(351, 951, 1551, 2151)(352, 952, 1552, 2152)(353, 953, 1553, 2153)(354, 954, 1554, 2154)(355, 955, 1555, 2155)(356, 956, 1556, 2156)(357, 957, 1557, 2157)(358, 958, 1558, 2158)(359, 959, 1559, 2159)(360, 960, 1560, 2160)(361, 961, 1561, 2161)(362, 962, 1562, 2162)(363, 963, 1563, 2163)(364, 964, 1564, 2164)(365, 965, 1565, 2165)(366, 966, 1566, 2166)(367, 967, 1567, 2167)(368, 968, 1568, 2168)(369, 969, 1569, 2169)(370, 970, 1570, 2170)(371, 971, 1571, 2171)(372, 972, 1572, 2172)(373, 973, 1573, 2173)(374, 974, 1574, 2174)(375, 975, 1575, 2175)(376, 976, 1576, 2176)(377, 977, 1577, 2177)(378, 978, 1578, 2178)(379, 979, 1579, 2179)(380, 980, 1580, 2180)(381, 981, 1581, 2181)(382, 982, 1582, 2182)(383, 983, 1583, 2183)(384, 984, 1584, 2184)(385, 985, 1585, 2185)(386, 986, 1586, 2186)(387, 987, 1587, 2187)(388, 988, 1588, 2188)(389, 989, 1589, 2189)(390, 990, 1590, 2190)(391, 991, 1591, 2191)(392, 992, 1592, 2192)(393, 993, 1593, 2193)(394, 994, 1594, 2194)(395, 995, 1595, 2195)(396, 996, 1596, 2196)(397, 997, 1597, 2197)(398, 998, 1598, 2198)(399, 999, 1599, 2199)(400, 1000, 1600, 2200)(401, 1001, 1601, 2201)(402, 1002, 1602, 2202)(403, 1003, 1603, 2203)(404, 1004, 1604, 2204)(405, 1005, 1605, 2205)(406, 1006, 1606, 2206)(407, 1007, 1607, 2207)(408, 1008, 1608, 2208)(409, 1009, 1609, 2209)(410, 1010, 1610, 2210)(411, 1011, 1611, 2211)(412, 1012, 1612, 2212)(413, 1013, 1613, 2213)(414, 1014, 1614, 2214)(415, 1015, 1615, 2215)(416, 1016, 1616, 2216)(417, 1017, 1617, 2217)(418, 1018, 1618, 2218)(419, 1019, 1619, 2219)(420, 1020, 1620, 2220)(421, 1021, 1621, 2221)(422, 1022, 1622, 2222)(423, 1023, 1623, 2223)(424, 1024, 1624, 2224)(425, 1025, 1625, 2225)(426, 1026, 1626, 2226)(427, 1027, 1627, 2227)(428, 1028, 1628, 2228)(429, 1029, 1629, 2229)(430, 1030, 1630, 2230)(431, 1031, 1631, 2231)(432, 1032, 1632, 2232)(433, 1033, 1633, 2233)(434, 1034, 1634, 2234)(435, 1035, 1635, 2235)(436, 1036, 1636, 2236)(437, 1037, 1637, 2237)(438, 1038, 1638, 2238)(439, 1039, 1639, 2239)(440, 1040, 1640, 2240)(441, 1041, 1641, 2241)(442, 1042, 1642, 2242)(443, 1043, 1643, 2243)(444, 1044, 1644, 2244)(445, 1045, 1645, 2245)(446, 1046, 1646, 2246)(447, 1047, 1647, 2247)(448, 1048, 1648, 2248)(449, 1049, 1649, 2249)(450, 1050, 1650, 2250)(451, 1051, 1651, 2251)(452, 1052, 1652, 2252)(453, 1053, 1653, 2253)(454, 1054, 1654, 2254)(455, 1055, 1655, 2255)(456, 1056, 1656, 2256)(457, 1057, 1657, 2257)(458, 1058, 1658, 2258)(459, 1059, 1659, 2259)(460, 1060, 1660, 2260)(461, 1061, 1661, 2261)(462, 1062, 1662, 2262)(463, 1063, 1663, 2263)(464, 1064, 1664, 2264)(465, 1065, 1665, 2265)(466, 1066, 1666, 2266)(467, 1067, 1667, 2267)(468, 1068, 1668, 2268)(469, 1069, 1669, 2269)(470, 1070, 1670, 2270)(471, 1071, 1671, 2271)(472, 1072, 1672, 2272)(473, 1073, 1673, 2273)(474, 1074, 1674, 2274)(475, 1075, 1675, 2275)(476, 1076, 1676, 2276)(477, 1077, 1677, 2277)(478, 1078, 1678, 2278)(479, 1079, 1679, 2279)(480, 1080, 1680, 2280)(481, 1081, 1681, 2281)(482, 1082, 1682, 2282)(483, 1083, 1683, 2283)(484, 1084, 1684, 2284)(485, 1085, 1685, 2285)(486, 1086, 1686, 2286)(487, 1087, 1687, 2287)(488, 1088, 1688, 2288)(489, 1089, 1689, 2289)(490, 1090, 1690, 2290)(491, 1091, 1691, 2291)(492, 1092, 1692, 2292)(493, 1093, 1693, 2293)(494, 1094, 1694, 2294)(495, 1095, 1695, 2295)(496, 1096, 1696, 2296)(497, 1097, 1697, 2297)(498, 1098, 1698, 2298)(499, 1099, 1699, 2299)(500, 1100, 1700, 2300)(501, 1101, 1701, 2301)(502, 1102, 1702, 2302)(503, 1103, 1703, 2303)(504, 1104, 1704, 2304)(505, 1105, 1705, 2305)(506, 1106, 1706, 2306)(507, 1107, 1707, 2307)(508, 1108, 1708, 2308)(509, 1109, 1709, 2309)(510, 1110, 1710, 2310)(511, 1111, 1711, 2311)(512, 1112, 1712, 2312)(513, 1113, 1713, 2313)(514, 1114, 1714, 2314)(515, 1115, 1715, 2315)(516, 1116, 1716, 2316)(517, 1117, 1717, 2317)(518, 1118, 1718, 2318)(519, 1119, 1719, 2319)(520, 1120, 1720, 2320)(521, 1121, 1721, 2321)(522, 1122, 1722, 2322)(523, 1123, 1723, 2323)(524, 1124, 1724, 2324)(525, 1125, 1725, 2325)(526, 1126, 1726, 2326)(527, 1127, 1727, 2327)(528, 1128, 1728, 2328)(529, 1129, 1729, 2329)(530, 1130, 1730, 2330)(531, 1131, 1731, 2331)(532, 1132, 1732, 2332)(533, 1133, 1733, 2333)(534, 1134, 1734, 2334)(535, 1135, 1735, 2335)(536, 1136, 1736, 2336)(537, 1137, 1737, 2337)(538, 1138, 1738, 2338)(539, 1139, 1739, 2339)(540, 1140, 1740, 2340)(541, 1141, 1741, 2341)(542, 1142, 1742, 2342)(543, 1143, 1743, 2343)(544, 1144, 1744, 2344)(545, 1145, 1745, 2345)(546, 1146, 1746, 2346)(547, 1147, 1747, 2347)(548, 1148, 1748, 2348)(549, 1149, 1749, 2349)(550, 1150, 1750, 2350)(551, 1151, 1751, 2351)(552, 1152, 1752, 2352)(553, 1153, 1753, 2353)(554, 1154, 1754, 2354)(555, 1155, 1755, 2355)(556, 1156, 1756, 2356)(557, 1157, 1757, 2357)(558, 1158, 1758, 2358)(559, 1159, 1759, 2359)(560, 1160, 1760, 2360)(561, 1161, 1761, 2361)(562, 1162, 1762, 2362)(563, 1163, 1763, 2363)(564, 1164, 1764, 2364)(565, 1165, 1765, 2365)(566, 1166, 1766, 2366)(567, 1167, 1767, 2367)(568, 1168, 1768, 2368)(569, 1169, 1769, 2369)(570, 1170, 1770, 2370)(571, 1171, 1771, 2371)(572, 1172, 1772, 2372)(573, 1173, 1773, 2373)(574, 1174, 1774, 2374)(575, 1175, 1775, 2375)(576, 1176, 1776, 2376)(577, 1177, 1777, 2377)(578, 1178, 1778, 2378)(579, 1179, 1779, 2379)(580, 1180, 1780, 2380)(581, 1181, 1781, 2381)(582, 1182, 1782, 2382)(583, 1183, 1783, 2383)(584, 1184, 1784, 2384)(585, 1185, 1785, 2385)(586, 1186, 1786, 2386)(587, 1187, 1787, 2387)(588, 1188, 1788, 2388)(589, 1189, 1789, 2389)(590, 1190, 1790, 2390)(591, 1191, 1791, 2391)(592, 1192, 1792, 2392)(593, 1193, 1793, 2393)(594, 1194, 1794, 2394)(595, 1195, 1795, 2395)(596, 1196, 1796, 2396)(597, 1197, 1797, 2397)(598, 1198, 1798, 2398)(599, 1199, 1799, 2399)(600, 1200, 1800, 2400)
	L = (1, 602)(2, 604)(3, 608)(4, 601)(5, 612)(6, 614)(7, 616)(8, 609)(9, 603)(10, 622)(11, 624)(12, 613)(13, 605)(14, 615)(15, 606)(16, 617)(17, 607)(18, 638)(19, 640)(20, 642)(21, 644)(22, 623)(23, 610)(24, 625)(25, 611)(26, 653)(27, 655)(28, 657)(29, 659)(30, 629)(31, 660)(32, 662)(33, 664)(34, 666)(35, 668)(36, 670)(37, 672)(38, 639)(39, 618)(40, 641)(41, 619)(42, 643)(43, 620)(44, 645)(45, 621)(46, 637)(47, 686)(48, 688)(49, 690)(50, 692)(51, 694)(52, 696)(53, 654)(54, 626)(55, 656)(56, 627)(57, 658)(58, 628)(59, 630)(60, 661)(61, 631)(62, 663)(63, 632)(64, 665)(65, 633)(66, 667)(67, 634)(68, 669)(69, 635)(70, 671)(71, 636)(72, 646)(73, 733)(74, 735)(75, 737)(76, 739)(77, 741)(78, 743)(79, 678)(80, 744)(81, 746)(82, 747)(83, 749)(84, 751)(85, 753)(86, 687)(87, 647)(88, 689)(89, 648)(90, 691)(91, 649)(92, 693)(93, 650)(94, 695)(95, 651)(96, 697)(97, 652)(98, 776)(99, 778)(100, 780)(101, 761)(102, 783)(103, 785)(104, 703)(105, 786)(106, 788)(107, 790)(108, 792)(109, 794)(110, 796)(111, 798)(112, 800)(113, 802)(114, 713)(115, 803)(116, 805)(117, 806)(118, 808)(119, 810)(120, 812)(121, 814)(122, 816)(123, 818)(124, 681)(125, 820)(126, 822)(127, 726)(128, 823)(129, 825)(130, 827)(131, 829)(132, 831)(133, 734)(134, 673)(135, 736)(136, 674)(137, 738)(138, 675)(139, 740)(140, 676)(141, 742)(142, 677)(143, 679)(144, 745)(145, 680)(146, 724)(147, 748)(148, 682)(149, 750)(150, 683)(151, 752)(152, 684)(153, 754)(154, 685)(155, 870)(156, 872)(157, 874)(158, 876)(159, 758)(160, 877)(161, 782)(162, 879)(163, 881)(164, 883)(165, 885)(166, 887)(167, 889)(168, 891)(169, 716)(170, 893)(171, 895)(172, 771)(173, 896)(174, 898)(175, 900)(176, 777)(177, 698)(178, 779)(179, 699)(180, 781)(181, 700)(182, 701)(183, 784)(184, 702)(185, 704)(186, 787)(187, 705)(188, 789)(189, 706)(190, 791)(191, 707)(192, 793)(193, 708)(194, 795)(195, 709)(196, 797)(197, 710)(198, 799)(199, 711)(200, 801)(201, 712)(202, 714)(203, 804)(204, 715)(205, 769)(206, 807)(207, 717)(208, 809)(209, 718)(210, 811)(211, 719)(212, 813)(213, 720)(214, 815)(215, 721)(216, 817)(217, 722)(218, 819)(219, 723)(220, 821)(221, 725)(222, 727)(223, 824)(224, 728)(225, 826)(226, 729)(227, 828)(228, 730)(229, 830)(230, 731)(231, 832)(232, 732)(233, 775)(234, 991)(235, 960)(236, 993)(237, 943)(238, 995)(239, 997)(240, 999)(241, 1001)(242, 975)(243, 1003)(244, 1005)(245, 844)(246, 1006)(247, 1007)(248, 1009)(249, 1011)(250, 1012)(251, 1014)(252, 987)(253, 1016)(254, 1018)(255, 854)(256, 1019)(257, 970)(258, 937)(259, 1021)(260, 1023)(261, 1025)(262, 1027)(263, 835)(264, 959)(265, 1030)(266, 865)(267, 1031)(268, 1033)(269, 1034)(270, 871)(271, 755)(272, 873)(273, 756)(274, 875)(275, 757)(276, 759)(277, 878)(278, 760)(279, 880)(280, 762)(281, 882)(282, 763)(283, 884)(284, 764)(285, 886)(286, 765)(287, 888)(288, 766)(289, 890)(290, 767)(291, 892)(292, 768)(293, 894)(294, 770)(295, 772)(296, 897)(297, 773)(298, 899)(299, 774)(300, 833)(301, 869)(302, 951)(303, 1078)(304, 1079)(305, 1081)(306, 1082)(307, 1064)(308, 1084)(309, 1086)(310, 1047)(311, 968)(312, 911)(313, 1088)(314, 1090)(315, 1092)(316, 1094)(317, 1036)(318, 1096)(319, 939)(320, 1060)(321, 984)(322, 921)(323, 1100)(324, 1102)(325, 1073)(326, 1104)(327, 1056)(328, 1106)(329, 1044)(330, 903)(331, 1108)(332, 1110)(333, 1112)(334, 1068)(335, 1114)(336, 858)(337, 936)(338, 1116)(339, 1098)(340, 849)(341, 1117)(342, 1118)(343, 994)(344, 836)(345, 1120)(346, 1122)(347, 946)(348, 907)(349, 1063)(350, 1040)(351, 1077)(352, 1124)(353, 846)(354, 1126)(355, 927)(356, 1055)(357, 1129)(358, 957)(359, 1029)(360, 863)(361, 1130)(362, 961)(363, 1049)(364, 1132)(365, 1133)(366, 1135)(367, 1136)(368, 912)(369, 1138)(370, 1020)(371, 856)(372, 1140)(373, 1142)(374, 1144)(375, 1002)(376, 841)(377, 1146)(378, 1041)(379, 905)(380, 1076)(381, 980)(382, 1149)(383, 1151)(384, 922)(385, 1153)(386, 868)(387, 1015)(388, 851)(389, 964)(390, 1155)(391, 992)(392, 834)(393, 944)(394, 837)(395, 996)(396, 838)(397, 998)(398, 839)(399, 1000)(400, 840)(401, 976)(402, 842)(403, 1004)(404, 843)(405, 845)(406, 953)(407, 1008)(408, 847)(409, 1010)(410, 848)(411, 940)(412, 1013)(413, 850)(414, 988)(415, 852)(416, 1017)(417, 853)(418, 855)(419, 971)(420, 857)(421, 1022)(422, 859)(423, 1024)(424, 860)(425, 1026)(426, 861)(427, 1028)(428, 862)(429, 864)(430, 866)(431, 1032)(432, 867)(433, 986)(434, 901)(435, 1179)(436, 1095)(437, 916)(438, 1172)(439, 950)(440, 1039)(441, 1148)(442, 941)(443, 1181)(444, 1107)(445, 928)(446, 1158)(447, 1087)(448, 909)(449, 1131)(450, 1157)(451, 938)(452, 1184)(453, 1164)(454, 1053)(455, 1128)(456, 955)(457, 1175)(458, 1057)(459, 1186)(460, 1099)(461, 1188)(462, 1171)(463, 1123)(464, 948)(465, 1191)(466, 1166)(467, 1192)(468, 1113)(469, 933)(470, 1178)(471, 966)(472, 925)(473, 1072)(474, 1195)(475, 1196)(476, 981)(477, 902)(478, 930)(479, 1080)(480, 904)(481, 979)(482, 1083)(483, 906)(484, 1085)(485, 908)(486, 1048)(487, 910)(488, 1089)(489, 913)(490, 1091)(491, 914)(492, 1093)(493, 915)(494, 1037)(495, 917)(496, 1097)(497, 918)(498, 919)(499, 920)(500, 1101)(501, 923)(502, 1103)(503, 924)(504, 1105)(505, 926)(506, 1045)(507, 929)(508, 1109)(509, 931)(510, 1111)(511, 932)(512, 1069)(513, 934)(514, 1115)(515, 935)(516, 1051)(517, 1042)(518, 1119)(519, 942)(520, 1121)(521, 945)(522, 947)(523, 949)(524, 1125)(525, 952)(526, 1127)(527, 954)(528, 956)(529, 958)(530, 962)(531, 963)(532, 989)(533, 1134)(534, 965)(535, 1071)(536, 1137)(537, 967)(538, 1139)(539, 969)(540, 1141)(541, 972)(542, 1143)(543, 973)(544, 1145)(545, 974)(546, 1147)(547, 977)(548, 978)(549, 1150)(550, 982)(551, 1152)(552, 983)(553, 1154)(554, 985)(555, 1156)(556, 990)(557, 1183)(558, 1176)(559, 1169)(560, 1174)(561, 1197)(562, 1161)(563, 1066)(564, 1054)(565, 1200)(566, 1163)(567, 1065)(568, 1159)(569, 1168)(570, 1075)(571, 1190)(572, 1180)(573, 1074)(574, 1198)(575, 1058)(576, 1046)(577, 1035)(578, 1194)(579, 1177)(580, 1038)(581, 1182)(582, 1043)(583, 1050)(584, 1185)(585, 1052)(586, 1187)(587, 1059)(588, 1189)(589, 1061)(590, 1062)(591, 1167)(592, 1193)(593, 1067)(594, 1070)(595, 1173)(596, 1170)(597, 1162)(598, 1160)(599, 1165)(600, 1199)(1201, 1803)(1202, 1806)(1203, 1805)(1204, 1810)(1205, 1801)(1206, 1807)(1207, 1802)(1208, 1818)(1209, 1820)(1210, 1811)(1211, 1804)(1212, 1826)(1213, 1828)(1214, 1830)(1215, 1832)(1216, 1834)(1217, 1836)(1218, 1819)(1219, 1808)(1220, 1821)(1221, 1809)(1222, 1846)(1223, 1848)(1224, 1850)(1225, 1852)(1226, 1827)(1227, 1812)(1228, 1829)(1229, 1813)(1230, 1831)(1231, 1814)(1232, 1833)(1233, 1815)(1234, 1835)(1235, 1816)(1236, 1837)(1237, 1817)(1238, 1825)(1239, 1873)(1240, 1875)(1241, 1877)(1242, 1879)(1243, 1881)(1244, 1883)(1245, 1885)(1246, 1847)(1247, 1822)(1248, 1849)(1249, 1823)(1250, 1851)(1251, 1824)(1252, 1838)(1253, 1845)(1254, 1898)(1255, 1900)(1256, 1902)(1257, 1904)(1258, 1906)(1259, 1908)(1260, 1910)(1261, 1912)(1262, 1914)(1263, 1916)(1264, 1918)(1265, 1920)(1266, 1865)(1267, 1921)(1268, 1923)(1269, 1925)(1270, 1927)(1271, 1929)(1272, 1931)(1273, 1874)(1274, 1839)(1275, 1876)(1276, 1840)(1277, 1878)(1278, 1841)(1279, 1880)(1280, 1842)(1281, 1882)(1282, 1843)(1283, 1884)(1284, 1844)(1285, 1853)(1286, 1955)(1287, 1957)(1288, 1959)(1289, 1961)(1290, 1963)(1291, 1965)(1292, 1891)(1293, 1966)(1294, 1968)(1295, 1970)(1296, 1972)(1297, 1974)(1298, 1899)(1299, 1854)(1300, 1901)(1301, 1855)(1302, 1903)(1303, 1856)(1304, 1905)(1305, 1857)(1306, 1907)(1307, 1858)(1308, 1909)(1309, 1859)(1310, 1911)(1311, 1860)(1312, 1913)(1313, 1861)(1314, 1915)(1315, 1862)(1316, 1917)(1317, 1863)(1318, 1919)(1319, 1864)(1320, 1866)(1321, 1922)(1322, 1867)(1323, 1924)(1324, 1868)(1325, 1926)(1326, 1869)(1327, 1928)(1328, 1870)(1329, 1930)(1330, 1871)(1331, 1932)(1332, 1872)(1333, 2033)(1334, 2035)(1335, 2037)(1336, 2039)(1337, 1936)(1338, 2040)(1339, 2042)(1340, 2043)(1341, 2045)(1342, 2047)(1343, 2049)(1344, 2051)(1345, 2053)(1346, 2055)(1347, 2057)(1348, 2059)(1349, 1948)(1350, 2060)(1351, 2062)(1352, 2064)(1353, 2066)(1354, 2068)(1355, 1956)(1356, 1886)(1357, 1958)(1358, 1887)(1359, 1960)(1360, 1888)(1361, 1962)(1362, 1889)(1363, 1964)(1364, 1890)(1365, 1892)(1366, 1967)(1367, 1893)(1368, 1969)(1369, 1894)(1370, 1971)(1371, 1895)(1372, 1973)(1373, 1896)(1374, 1975)(1375, 1897)(1376, 2101)(1377, 2103)(1378, 2105)(1379, 2107)(1380, 1979)(1381, 2108)(1382, 2110)(1383, 2112)(1384, 2114)(1385, 2116)(1386, 2118)(1387, 2120)(1388, 2122)(1389, 1939)(1390, 2124)(1391, 2126)(1392, 1991)(1393, 2127)(1394, 2129)(1395, 2131)(1396, 1995)(1397, 2132)(1398, 2134)(1399, 2135)(1400, 2137)(1401, 2139)(1402, 2141)(1403, 2143)(1404, 2145)(1405, 2147)(1406, 2149)(1407, 2151)(1408, 2007)(1409, 2152)(1410, 2154)(1411, 2156)(1412, 2158)(1413, 2160)(1414, 2162)(1415, 2164)(1416, 2166)(1417, 2168)(1418, 2017)(1419, 2169)(1420, 2171)(1421, 2173)(1422, 2175)(1423, 2177)(1424, 2179)(1425, 2181)(1426, 1998)(1427, 2183)(1428, 2185)(1429, 2028)(1430, 2186)(1431, 2188)(1432, 2190)(1433, 2034)(1434, 1933)(1435, 2036)(1436, 1934)(1437, 2038)(1438, 1935)(1439, 1937)(1440, 2041)(1441, 1938)(1442, 1989)(1443, 2044)(1444, 1940)(1445, 2046)(1446, 1941)(1447, 2048)(1448, 1942)(1449, 2050)(1450, 1943)(1451, 2052)(1452, 1944)(1453, 2054)(1454, 1945)(1455, 2056)(1456, 1946)(1457, 2058)(1458, 1947)(1459, 1949)(1460, 2061)(1461, 1950)(1462, 2063)(1463, 1951)(1464, 2065)(1465, 1952)(1466, 2067)(1467, 1953)(1468, 2069)(1469, 1954)(1470, 2032)(1471, 2235)(1472, 2237)(1473, 2238)(1474, 2240)(1475, 2241)(1476, 2209)(1477, 2244)(1478, 2246)(1479, 2248)(1480, 2249)(1481, 2080)(1482, 2250)(1483, 2252)(1484, 2232)(1485, 2254)(1486, 2256)(1487, 2258)(1488, 2195)(1489, 2260)(1490, 2219)(1491, 2090)(1492, 2262)(1493, 2264)(1494, 2266)(1495, 2268)(1496, 2270)(1497, 2271)(1498, 2273)(1499, 2072)(1500, 2275)(1501, 2102)(1502, 1976)(1503, 2104)(1504, 1977)(1505, 2106)(1506, 1978)(1507, 1980)(1508, 2109)(1509, 1981)(1510, 2111)(1511, 1982)(1512, 2113)(1513, 1983)(1514, 2115)(1515, 1984)(1516, 2117)(1517, 1985)(1518, 2119)(1519, 1986)(1520, 2121)(1521, 1987)(1522, 2123)(1523, 1988)(1524, 2125)(1525, 1990)(1526, 1992)(1527, 2128)(1528, 1993)(1529, 2130)(1530, 1994)(1531, 1996)(1532, 2133)(1533, 1997)(1534, 2026)(1535, 2136)(1536, 1999)(1537, 2138)(1538, 2000)(1539, 2140)(1540, 2001)(1541, 2142)(1542, 2002)(1543, 2144)(1544, 2003)(1545, 2146)(1546, 2004)(1547, 2148)(1548, 2005)(1549, 2150)(1550, 2006)(1551, 2008)(1552, 2153)(1553, 2009)(1554, 2155)(1555, 2010)(1556, 2157)(1557, 2011)(1558, 2159)(1559, 2012)(1560, 2161)(1561, 2013)(1562, 2163)(1563, 2014)(1564, 2165)(1565, 2015)(1566, 2167)(1567, 2016)(1568, 2018)(1569, 2170)(1570, 2019)(1571, 2172)(1572, 2020)(1573, 2174)(1574, 2021)(1575, 2176)(1576, 2022)(1577, 2178)(1578, 2023)(1579, 2180)(1580, 2024)(1581, 2182)(1582, 2025)(1583, 2184)(1584, 2027)(1585, 2029)(1586, 2187)(1587, 2030)(1588, 2189)(1589, 2031)(1590, 2070)(1591, 2281)(1592, 2357)(1593, 2358)(1594, 2319)(1595, 2259)(1596, 2360)(1597, 2355)(1598, 2278)(1599, 2362)(1600, 2363)(1601, 2364)(1602, 2345)(1603, 2301)(1604, 2365)(1605, 2079)(1606, 2349)(1607, 2325)(1608, 2096)(1609, 2243)(1610, 2317)(1611, 2210)(1612, 2297)(1613, 2367)(1614, 2213)(1615, 2320)(1616, 2369)(1617, 2327)(1618, 2292)(1619, 2091)(1620, 2372)(1621, 2315)(1622, 2087)(1623, 2375)(1624, 2282)(1625, 2074)(1626, 2300)(1627, 2226)(1628, 2352)(1629, 2377)(1630, 2378)(1631, 2311)(1632, 2253)(1633, 2083)(1634, 2354)(1635, 2236)(1636, 2071)(1637, 2099)(1638, 2239)(1639, 2073)(1640, 2225)(1641, 2242)(1642, 2075)(1643, 2076)(1644, 2245)(1645, 2077)(1646, 2247)(1647, 2078)(1648, 2205)(1649, 2081)(1650, 2251)(1651, 2082)(1652, 2233)(1653, 2084)(1654, 2255)(1655, 2085)(1656, 2257)(1657, 2086)(1658, 2222)(1659, 2088)(1660, 2261)(1661, 2089)(1662, 2263)(1663, 2092)(1664, 2265)(1665, 2093)(1666, 2267)(1667, 2094)(1668, 2269)(1669, 2095)(1670, 2208)(1671, 2272)(1672, 2097)(1673, 2274)(1674, 2098)(1675, 2276)(1676, 2100)(1677, 2380)(1678, 2361)(1679, 2340)(1680, 2191)(1681, 2280)(1682, 2348)(1683, 2333)(1684, 2322)(1685, 2379)(1686, 2314)(1687, 2392)(1688, 2337)(1689, 2194)(1690, 2318)(1691, 2231)(1692, 2371)(1693, 2396)(1694, 2293)(1695, 2329)(1696, 2295)(1697, 2366)(1698, 2383)(1699, 2387)(1700, 2227)(1701, 2323)(1702, 2202)(1703, 2321)(1704, 2335)(1705, 2223)(1706, 2216)(1707, 2382)(1708, 2197)(1709, 2332)(1710, 2400)(1711, 2291)(1712, 2230)(1713, 2393)(1714, 2350)(1715, 2374)(1716, 2395)(1717, 2211)(1718, 2347)(1719, 2289)(1720, 2368)(1721, 2385)(1722, 2344)(1723, 2203)(1724, 2234)(1725, 2336)(1726, 2206)(1727, 2370)(1728, 2200)(1729, 2296)(1730, 2192)(1731, 2204)(1732, 2399)(1733, 2391)(1734, 2304)(1735, 2334)(1736, 2207)(1737, 2386)(1738, 2287)(1739, 2199)(1740, 2389)(1741, 2307)(1742, 2381)(1743, 2229)(1744, 2284)(1745, 2302)(1746, 2201)(1747, 2290)(1748, 2224)(1749, 2326)(1750, 2286)(1751, 2313)(1752, 2376)(1753, 2299)(1754, 2324)(1755, 2308)(1756, 2196)(1757, 2330)(1758, 2359)(1759, 2193)(1760, 2356)(1761, 2198)(1762, 2339)(1763, 2328)(1764, 2346)(1765, 2331)(1766, 2212)(1767, 2214)(1768, 2215)(1769, 2306)(1770, 2217)(1771, 2218)(1772, 2373)(1773, 2220)(1774, 2221)(1775, 2305)(1776, 2228)(1777, 2343)(1778, 2312)(1779, 2398)(1780, 2397)(1781, 2394)(1782, 2341)(1783, 2388)(1784, 2316)(1785, 2303)(1786, 2288)(1787, 2353)(1788, 2298)(1789, 2279)(1790, 2310)(1791, 2283)(1792, 2338)(1793, 2351)(1794, 2342)(1795, 2384)(1796, 2294)(1797, 2277)(1798, 2285)(1799, 2309)(1800, 2390)
	local type(s) :: { ( 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E26.1526
Transitivity :: VT+
Graph:: simple
	v = 600 e = 1200 f = 550
	degree seq :: [ 4^600 ]

E26.1530 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 11})
Quotient :: regular
Aut^+ = $<660, 13>$ (small group id <660, 13>)
Aut   = $<1320, 133>$ (small group id <1320, 133>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1 * T2)^3, T1^11, (T2 * T1^3 * T2 * T1^-3)^2, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1^-3 * T2 * T1^-2, T2 * T1^2 * T2 * T1^-3 * T2 * T1^-2 * T2 * T1^4 * T2 * T1^5, T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-3 * T2 * T1 * T2 * T1^-4 * T2 * T1^-2 * T2 * T1, (T2 * T1^2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^-1)^2, (T1^-1 * T2 * T1^5 * T2 * T1^-3)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 11, 21, 37, 62, 36, 20, 10, 4)(3, 7, 15, 27, 47, 78, 90, 54, 31, 17, 8)(6, 13, 25, 43, 72, 117, 126, 77, 46, 26, 14)(9, 18, 32, 55, 91, 146, 138, 85, 51, 29, 16)(12, 23, 41, 68, 111, 177, 186, 116, 71, 42, 24)(19, 34, 58, 96, 154, 240, 239, 153, 95, 57, 33)(22, 39, 66, 107, 171, 265, 273, 176, 110, 67, 40)(28, 49, 82, 132, 208, 316, 324, 213, 135, 83, 50)(30, 52, 86, 139, 218, 331, 296, 193, 121, 74, 44)(35, 60, 99, 159, 247, 370, 369, 246, 158, 98, 59)(38, 64, 105, 167, 259, 387, 395, 264, 170, 106, 65)(45, 75, 122, 194, 297, 438, 417, 280, 181, 113, 69)(48, 80, 130, 205, 313, 459, 405, 271, 175, 131, 81)(53, 88, 142, 223, 338, 489, 488, 337, 222, 141, 87)(56, 93, 150, 233, 351, 506, 510, 355, 236, 151, 94)(61, 101, 162, 251, 375, 536, 535, 374, 250, 161, 100)(63, 103, 165, 255, 381, 484, 547, 386, 258, 166, 104)(70, 114, 182, 281, 418, 568, 464, 402, 269, 173, 108)(73, 119, 190, 291, 432, 580, 552, 393, 263, 191, 120)(76, 124, 197, 155, 242, 362, 519, 444, 301, 196, 123)(79, 128, 203, 309, 454, 414, 546, 458, 312, 204, 129)(84, 136, 214, 325, 474, 611, 607, 468, 320, 210, 133)(89, 144, 226, 298, 440, 587, 512, 493, 341, 225, 143)(92, 148, 232, 349, 503, 422, 283, 183, 115, 184, 149)(97, 156, 243, 363, 521, 437, 584, 523, 366, 244, 157)(102, 164, 254, 379, 541, 588, 470, 540, 378, 253, 163)(109, 174, 270, 403, 558, 482, 332, 478, 391, 261, 168)(112, 179, 277, 412, 567, 622, 641, 545, 385, 278, 180)(118, 188, 289, 429, 578, 557, 471, 322, 212, 290, 189)(125, 199, 304, 419, 570, 476, 326, 475, 446, 303, 198)(127, 201, 307, 450, 520, 365, 522, 554, 453, 308, 202)(134, 211, 321, 469, 565, 409, 274, 408, 463, 315, 206)(137, 216, 328, 219, 333, 483, 617, 613, 477, 327, 215)(140, 220, 334, 401, 514, 359, 515, 618, 485, 335, 221)(145, 228, 344, 496, 571, 421, 282, 420, 495, 343, 227)(147, 230, 347, 500, 430, 293, 394, 553, 502, 348, 231)(152, 237, 356, 511, 635, 657, 603, 582, 433, 353, 234)(160, 248, 371, 529, 431, 323, 472, 608, 532, 372, 249)(169, 262, 392, 550, 643, 586, 439, 342, 494, 383, 256)(172, 267, 399, 336, 486, 619, 597, 640, 539, 400, 268)(178, 275, 410, 566, 649, 639, 534, 436, 295, 411, 276)(185, 285, 424, 559, 491, 340, 224, 339, 490, 423, 284)(187, 287, 427, 505, 350, 235, 354, 509, 577, 428, 288)(192, 294, 435, 583, 645, 555, 396, 508, 352, 434, 292)(195, 299, 441, 479, 329, 217, 330, 480, 589, 442, 300)(200, 306, 449, 595, 528, 561, 404, 560, 594, 448, 305)(207, 272, 406, 562, 518, 361, 241, 302, 445, 456, 310)(209, 318, 413, 279, 415, 527, 638, 658, 599, 467, 319)(229, 345, 498, 628, 623, 531, 563, 407, 564, 499, 346)(238, 358, 466, 317, 465, 388, 548, 642, 636, 513, 357)(245, 367, 524, 382, 543, 626, 572, 462, 314, 461, 364)(252, 376, 537, 451, 311, 457, 602, 647, 573, 538, 377)(257, 384, 544, 501, 631, 650, 569, 447, 593, 542, 380)(260, 389, 549, 443, 590, 504, 633, 530, 373, 533, 390)(266, 397, 556, 646, 637, 525, 368, 526, 416, 507, 398)(286, 426, 575, 517, 360, 516, 551, 644, 651, 574, 425)(452, 598, 596, 576, 653, 652, 648, 614, 629, 627, 497)(455, 600, 592, 612, 654, 579, 630, 624, 492, 625, 601)(460, 604, 632, 656, 591, 620, 487, 621, 606, 581, 605)(473, 610, 660, 616, 481, 615, 659, 634, 585, 655, 609)
	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, 63)(40, 64)(41, 69)(42, 70)(43, 73)(46, 76)(47, 79)(50, 80)(51, 84)(52, 87)(54, 89)(55, 92)(57, 93)(58, 97)(60, 100)(62, 102)(65, 103)(66, 108)(67, 109)(68, 112)(71, 115)(72, 118)(74, 119)(75, 123)(77, 125)(78, 127)(81, 128)(82, 133)(83, 134)(85, 137)(86, 140)(88, 143)(90, 145)(91, 147)(94, 148)(95, 152)(96, 155)(98, 156)(99, 160)(101, 163)(104, 164)(105, 168)(106, 169)(107, 172)(110, 175)(111, 178)(113, 179)(114, 183)(116, 185)(117, 187)(120, 188)(121, 192)(122, 195)(124, 198)(126, 200)(129, 201)(130, 206)(131, 207)(132, 209)(135, 212)(136, 215)(138, 217)(139, 219)(141, 220)(142, 224)(144, 227)(146, 229)(149, 230)(150, 234)(151, 235)(153, 238)(154, 241)(157, 242)(158, 245)(159, 223)(161, 248)(162, 252)(165, 256)(166, 257)(167, 260)(170, 263)(171, 266)(173, 267)(174, 271)(176, 272)(177, 274)(180, 275)(181, 279)(182, 282)(184, 284)(186, 286)(189, 287)(190, 292)(191, 293)(193, 295)(194, 298)(196, 299)(197, 302)(199, 305)(202, 228)(203, 310)(204, 311)(205, 314)(208, 317)(210, 318)(211, 322)(213, 323)(214, 326)(216, 329)(218, 332)(221, 333)(222, 336)(225, 339)(226, 342)(231, 345)(232, 350)(233, 352)(236, 312)(237, 357)(239, 359)(240, 360)(243, 364)(244, 365)(246, 368)(247, 340)(249, 338)(250, 373)(251, 325)(253, 376)(254, 380)(255, 382)(258, 385)(259, 388)(261, 389)(262, 393)(264, 394)(265, 396)(268, 397)(269, 401)(270, 404)(273, 407)(276, 408)(277, 413)(278, 414)(280, 416)(281, 419)(283, 420)(285, 425)(288, 306)(289, 430)(290, 431)(291, 433)(294, 436)(296, 437)(297, 439)(300, 440)(301, 443)(303, 445)(304, 447)(307, 451)(308, 452)(309, 455)(313, 460)(315, 461)(316, 464)(319, 465)(320, 412)(321, 470)(324, 473)(327, 475)(328, 478)(330, 346)(331, 481)(334, 399)(335, 484)(337, 487)(341, 492)(343, 494)(344, 497)(347, 423)(348, 501)(349, 504)(351, 507)(353, 434)(354, 458)(355, 457)(356, 512)(358, 514)(361, 516)(362, 520)(363, 463)(366, 502)(367, 525)(369, 527)(370, 528)(371, 530)(372, 531)(374, 534)(375, 476)(377, 474)(378, 539)(379, 511)(381, 483)(383, 543)(384, 545)(386, 546)(387, 467)(390, 548)(391, 479)(392, 551)(395, 554)(398, 508)(400, 557)(402, 466)(403, 559)(405, 560)(406, 563)(409, 426)(410, 454)(411, 521)(415, 526)(417, 506)(418, 569)(421, 570)(422, 572)(424, 573)(427, 529)(428, 576)(429, 579)(432, 581)(435, 535)(438, 585)(441, 549)(442, 588)(444, 591)(446, 592)(448, 593)(449, 596)(450, 597)(453, 599)(456, 600)(459, 603)(462, 604)(468, 606)(469, 589)(471, 540)(472, 609)(477, 612)(480, 614)(482, 615)(485, 577)(486, 620)(488, 622)(489, 623)(490, 624)(491, 561)(493, 513)(495, 626)(496, 583)(498, 544)(499, 629)(500, 630)(503, 632)(505, 633)(509, 547)(510, 634)(515, 517)(518, 550)(519, 619)(522, 553)(523, 631)(524, 617)(532, 562)(533, 639)(536, 571)(537, 640)(538, 574)(541, 587)(542, 635)(552, 644)(555, 564)(556, 578)(558, 647)(565, 648)(566, 601)(567, 621)(568, 610)(575, 652)(580, 607)(582, 605)(584, 616)(586, 655)(590, 656)(594, 657)(595, 638)(598, 658)(602, 659)(608, 643)(611, 651)(613, 637)(618, 653)(625, 636)(627, 645)(628, 641)(642, 649)(646, 654)(650, 660)
	local type(s) :: { ( 3^11 ) }
Outer automorphisms :: reflexible
Dual of E26.1531
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 60 e = 330 f = 220
	degree seq :: [ 11^60 ]

E26.1531 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 11})
Quotient :: regular
Aut^+ = $<660, 13>$ (small group id <660, 13>)
Aut   = $<1320, 133>$ (small group id <1320, 133>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^3, (F * T1)^2, (F * T2)^2, (T2 * T1 * T2 * T1^-1)^5, (T1^-1 * T2)^11, (T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1)^2, T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1, (T2 * T1 * T2 * T1 * T2 * T1^-1 * 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, 174)(125, 175, 176)(126, 177, 178)(127, 179, 180)(128, 165, 181)(129, 182, 183)(130, 184, 185)(131, 186, 187)(132, 188, 189)(133, 190, 191)(134, 192, 193)(135, 194, 195)(136, 196, 197)(137, 198, 199)(138, 200, 201)(155, 217, 218)(156, 219, 220)(157, 221, 222)(158, 223, 224)(159, 225, 226)(160, 211, 227)(161, 228, 229)(162, 230, 231)(163, 232, 233)(164, 234, 235)(166, 236, 237)(167, 238, 239)(168, 240, 241)(169, 242, 243)(170, 244, 245)(202, 275, 276)(203, 277, 278)(204, 279, 280)(205, 281, 282)(206, 283, 284)(207, 285, 286)(208, 287, 288)(209, 289, 290)(210, 291, 292)(212, 293, 294)(213, 295, 296)(214, 297, 298)(215, 299, 300)(216, 301, 246)(247, 457, 491)(248, 369, 451)(249, 460, 429)(250, 336, 579)(251, 270, 305)(252, 386, 618)(253, 395, 438)(254, 464, 409)(255, 465, 654)(256, 432, 646)(257, 467, 359)(258, 469, 368)(259, 470, 523)(260, 381, 437)(261, 471, 650)(262, 472, 439)(263, 374, 620)(264, 475, 655)(265, 401, 632)(266, 477, 443)(267, 478, 656)(268, 480, 337)(269, 481, 642)(271, 484, 396)(272, 485, 615)(273, 487, 373)(274, 488, 378)(302, 416, 410)(303, 476, 382)(304, 389, 512)(306, 461, 522)(307, 426, 362)(308, 524, 527)(309, 528, 393)(310, 529, 531)(311, 532, 419)(312, 533, 536)(313, 537, 538)(314, 394, 539)(315, 540, 542)(316, 543, 544)(317, 455, 483)(318, 420, 546)(319, 547, 462)(320, 550, 551)(321, 516, 552)(322, 468, 425)(323, 448, 554)(324, 555, 557)(325, 486, 559)(326, 493, 390)(327, 561, 562)(328, 413, 563)(329, 564, 492)(330, 566, 560)(331, 568, 571)(332, 399, 408)(333, 573, 575)(334, 576, 577)(335, 385, 578)(338, 581, 572)(339, 553, 585)(340, 427, 370)(341, 586, 588)(342, 589, 590)(343, 352, 591)(344, 592, 388)(345, 593, 594)(346, 456, 548)(347, 500, 596)(348, 360, 380)(349, 501, 440)(350, 574, 597)(351, 541, 496)(353, 600, 428)(354, 602, 603)(355, 365, 604)(356, 605, 415)(357, 606, 599)(358, 517, 534)(361, 403, 503)(363, 587, 608)(364, 549, 400)(366, 611, 494)(367, 567, 613)(371, 617, 459)(372, 619, 514)(375, 404, 495)(376, 513, 474)(377, 621, 610)(379, 436, 623)(383, 466, 624)(384, 535, 430)(387, 582, 598)(391, 627, 519)(392, 629, 411)(397, 630, 584)(398, 423, 525)(402, 601, 631)(405, 504, 441)(406, 508, 634)(407, 625, 637)(412, 526, 639)(414, 556, 609)(417, 640, 518)(418, 616, 453)(421, 452, 545)(422, 614, 558)(424, 490, 482)(431, 644, 450)(433, 565, 647)(434, 498, 638)(435, 612, 643)(442, 648, 649)(444, 520, 502)(445, 479, 651)(446, 652, 506)(447, 628, 653)(449, 569, 636)(454, 530, 645)(458, 510, 583)(463, 515, 521)(473, 505, 633)(489, 626, 570)(497, 657, 511)(499, 580, 658)(507, 635, 659)(509, 641, 660)(595, 622, 607)
	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, 202)(140, 203)(141, 204)(142, 205)(143, 206)(144, 191)(145, 207)(146, 208)(147, 209)(148, 210)(149, 211)(150, 212)(151, 213)(152, 214)(153, 215)(154, 216)(171, 246)(172, 247)(173, 248)(174, 249)(175, 250)(176, 251)(177, 252)(178, 253)(179, 254)(180, 255)(181, 256)(182, 257)(183, 258)(184, 259)(185, 260)(186, 261)(187, 262)(188, 263)(189, 264)(190, 265)(192, 266)(193, 267)(194, 268)(195, 269)(196, 270)(197, 271)(198, 272)(199, 273)(200, 274)(201, 217)(218, 423)(219, 304)(220, 375)(221, 425)(222, 426)(223, 428)(224, 429)(225, 431)(226, 433)(227, 434)(228, 436)(229, 344)(230, 439)(231, 440)(232, 442)(233, 444)(234, 314)(235, 445)(236, 446)(237, 447)(238, 448)(239, 449)(240, 362)(241, 452)(242, 337)(243, 309)(244, 456)(245, 275)(276, 490)(277, 302)(278, 395)(279, 492)(280, 476)(281, 494)(282, 495)(283, 497)(284, 499)(285, 500)(286, 356)(287, 502)(288, 503)(289, 505)(290, 470)(291, 318)(292, 507)(293, 508)(294, 509)(295, 485)(296, 510)(297, 382)(298, 513)(299, 323)(300, 311)(301, 517)(303, 472)(305, 520)(306, 457)(307, 523)(308, 525)(310, 482)(312, 534)(313, 418)(315, 488)(316, 372)(317, 378)(319, 548)(320, 392)(321, 346)(322, 465)(324, 354)(325, 481)(326, 560)(327, 466)(328, 358)(329, 565)(330, 334)(331, 569)(332, 572)(333, 574)(335, 398)(336, 580)(338, 342)(339, 583)(340, 557)(341, 587)(343, 424)(345, 489)(347, 595)(348, 597)(349, 581)(350, 367)(351, 598)(352, 544)(353, 601)(355, 491)(357, 397)(359, 607)(360, 608)(361, 555)(363, 387)(364, 609)(365, 551)(366, 612)(368, 614)(369, 539)(370, 616)(371, 618)(373, 605)(374, 594)(376, 443)(377, 422)(379, 622)(380, 624)(381, 566)(383, 414)(384, 613)(385, 538)(386, 625)(388, 626)(389, 546)(390, 619)(391, 600)(393, 469)(394, 599)(396, 506)(399, 631)(400, 543)(401, 628)(402, 458)(403, 633)(404, 562)(405, 635)(406, 421)(407, 636)(408, 629)(409, 638)(410, 487)(411, 473)(412, 590)(413, 531)(415, 630)(416, 620)(417, 611)(419, 592)(420, 610)(427, 643)(430, 550)(432, 641)(435, 642)(437, 471)(438, 575)(441, 475)(450, 632)(451, 528)(453, 650)(454, 603)(455, 522)(459, 647)(460, 588)(461, 559)(462, 602)(463, 586)(464, 530)(467, 540)(468, 584)(474, 606)(477, 568)(478, 498)(479, 504)(480, 556)(483, 617)(484, 621)(486, 634)(493, 637)(496, 537)(501, 648)(511, 646)(512, 532)(514, 649)(515, 577)(516, 527)(518, 654)(519, 658)(521, 644)(524, 571)(526, 657)(529, 585)(533, 596)(535, 653)(536, 576)(541, 660)(542, 589)(545, 593)(547, 623)(549, 656)(552, 627)(553, 652)(554, 567)(558, 564)(561, 639)(563, 640)(570, 579)(573, 645)(578, 651)(582, 615)(591, 659)(604, 655)
	local type(s) :: { ( 11^3 ) }
Outer automorphisms :: reflexible
Dual of E26.1530
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 220 e = 330 f = 60
	degree seq :: [ 3^220 ]

E26.1532 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 11})
Quotient :: edge
Aut^+ = $<660, 13>$ (small group id <660, 13>)
Aut   = $<1320, 133>$ (small group id <1320, 133>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2 * T1 * T2^-1)^5, (T2^-1 * T1)^11, (T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1)^2, T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2, (T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1)^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, 246, 247)(188, 248, 249)(189, 250, 251)(190, 252, 253)(191, 254, 255)(192, 211, 256)(193, 257, 258)(194, 259, 260)(195, 261, 262)(196, 263, 264)(197, 265, 266)(198, 267, 268)(199, 269, 270)(200, 271, 272)(201, 273, 274)(202, 275, 276)(203, 277, 278)(204, 279, 280)(205, 281, 282)(206, 283, 284)(207, 285, 286)(208, 287, 288)(209, 289, 290)(210, 291, 292)(212, 293, 294)(213, 295, 296)(214, 297, 298)(215, 299, 300)(216, 301, 217)(218, 410, 435)(219, 412, 556)(220, 414, 369)(221, 308, 496)(222, 241, 401)(223, 415, 328)(224, 416, 601)(225, 418, 339)(226, 324, 517)(227, 330, 347)(228, 358, 350)(229, 420, 608)(230, 422, 380)(231, 423, 397)(232, 424, 521)(233, 426, 354)(234, 427, 527)(235, 429, 580)(236, 319, 377)(237, 430, 312)(238, 372, 563)(239, 432, 384)(240, 345, 536)(242, 357, 323)(243, 362, 411)(244, 436, 617)(245, 438, 388)(302, 483, 485)(303, 486, 467)(304, 488, 489)(305, 490, 492)(306, 493, 463)(307, 441, 495)(309, 498, 443)(310, 500, 502)(311, 503, 409)(313, 505, 394)(314, 381, 507)(315, 460, 395)(316, 508, 379)(317, 365, 510)(318, 511, 513)(320, 515, 512)(321, 480, 402)(322, 516, 349)(325, 343, 519)(326, 520, 425)(327, 522, 342)(329, 337, 524)(331, 526, 428)(332, 370, 450)(333, 528, 501)(334, 472, 403)(335, 386, 466)(336, 529, 499)(338, 446, 473)(340, 531, 533)(341, 393, 387)(344, 535, 504)(346, 537, 539)(348, 378, 371)(351, 541, 487)(352, 542, 544)(353, 451, 396)(355, 545, 497)(356, 546, 548)(359, 474, 484)(360, 551, 553)(361, 555, 413)(363, 557, 449)(364, 468, 479)(366, 559, 506)(367, 554, 458)(368, 437, 561)(373, 564, 494)(374, 565, 478)(375, 566, 568)(376, 442, 570)(382, 572, 509)(383, 470, 447)(385, 407, 575)(389, 452, 491)(390, 567, 578)(391, 579, 455)(392, 577, 582)(398, 587, 589)(399, 590, 543)(400, 591, 471)(404, 595, 597)(405, 550, 547)(406, 598, 448)(408, 444, 459)(417, 593, 604)(419, 606, 552)(421, 453, 514)(431, 445, 614)(433, 457, 558)(434, 616, 562)(439, 619, 607)(440, 586, 573)(454, 462, 625)(456, 538, 615)(461, 626, 628)(464, 630, 631)(465, 594, 621)(469, 632, 518)(475, 525, 532)(476, 482, 602)(477, 560, 636)(481, 635, 638)(523, 639, 611)(530, 605, 644)(534, 640, 613)(540, 641, 596)(549, 574, 651)(569, 585, 620)(571, 645, 588)(576, 653, 646)(581, 600, 656)(583, 643, 603)(584, 622, 654)(592, 633, 658)(599, 642, 649)(609, 634, 655)(610, 624, 623)(612, 647, 629)(618, 637, 650)(627, 648, 659)(652, 657, 660)(661, 662)(663, 667)(664, 668)(665, 669)(666, 670)(671, 679)(672, 680)(673, 681)(674, 682)(675, 683)(676, 684)(677, 685)(678, 686)(687, 703)(688, 704)(689, 705)(690, 706)(691, 707)(692, 708)(693, 709)(694, 710)(695, 711)(696, 712)(697, 713)(698, 714)(699, 715)(700, 716)(701, 717)(702, 718)(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)(739, 771)(740, 772)(741, 773)(742, 774)(743, 775)(744, 776)(745, 777)(746, 778)(747, 779)(748, 780)(749, 781)(750, 782)(783, 847)(784, 848)(785, 849)(786, 850)(787, 851)(788, 852)(789, 853)(790, 854)(791, 855)(792, 856)(793, 825)(794, 857)(795, 858)(796, 859)(797, 860)(798, 861)(799, 862)(800, 863)(801, 864)(802, 865)(803, 866)(804, 836)(805, 867)(806, 868)(807, 869)(808, 870)(809, 871)(810, 872)(811, 873)(812, 874)(813, 875)(814, 876)(815, 877)(816, 878)(817, 879)(818, 880)(819, 881)(820, 882)(821, 883)(822, 884)(823, 885)(824, 886)(826, 887)(827, 888)(828, 889)(829, 890)(830, 891)(831, 892)(832, 893)(833, 894)(834, 895)(835, 896)(837, 897)(838, 898)(839, 899)(840, 900)(841, 901)(842, 902)(843, 903)(844, 904)(845, 905)(846, 906)(907, 1100)(908, 1012)(909, 1102)(910, 1103)(911, 1104)(912, 1106)(913, 1029)(914, 987)(915, 1039)(916, 1110)(917, 1111)(918, 1000)(919, 1014)(920, 1112)(921, 1113)(922, 1046)(923, 970)(924, 1115)(925, 1041)(926, 985)(927, 1066)(928, 1118)(929, 1119)(930, 1120)(931, 1044)(932, 1099)(933, 1122)(934, 935)(936, 1125)(937, 1016)(938, 1076)(939, 1127)(940, 1128)(941, 1053)(942, 1036)(943, 997)(944, 1009)(945, 1132)(946, 986)(947, 995)(948, 1134)(949, 1135)(950, 1082)(951, 978)(952, 1093)(953, 1101)(954, 977)(955, 1022)(956, 1138)(957, 1139)(958, 1140)(959, 1108)(960, 1124)(961, 1142)(962, 973)(963, 976)(964, 966)(965, 971)(967, 975)(968, 982)(969, 984)(972, 981)(974, 983)(979, 1003)(980, 1005)(988, 1006)(989, 1007)(990, 1025)(991, 1027)(992, 1032)(993, 1034)(994, 1043)(996, 1050)(998, 1028)(999, 1030)(1001, 1035)(1002, 1037)(1004, 1045)(1008, 1051)(1010, 1107)(1011, 1116)(1013, 1130)(1015, 1137)(1017, 1150)(1018, 1094)(1019, 1185)(1020, 1070)(1021, 1214)(1023, 1209)(1024, 1086)(1026, 1109)(1031, 1117)(1033, 1131)(1038, 1089)(1040, 1068)(1042, 1157)(1047, 1210)(1048, 1236)(1049, 1174)(1052, 1240)(1054, 1156)(1055, 1143)(1056, 1245)(1057, 1084)(1058, 1246)(1059, 1225)(1060, 1244)(1061, 1126)(1062, 1148)(1063, 1253)(1064, 1254)(1065, 1196)(1067, 1252)(1069, 1146)(1071, 1238)(1072, 1162)(1073, 1260)(1074, 1195)(1075, 1215)(1077, 1262)(1078, 1251)(1079, 1227)(1080, 1267)(1081, 1259)(1083, 1265)(1085, 1153)(1087, 1145)(1088, 1247)(1090, 1186)(1091, 1272)(1092, 1275)(1095, 1237)(1096, 1208)(1097, 1270)(1098, 1222)(1105, 1159)(1114, 1284)(1121, 1239)(1123, 1158)(1129, 1147)(1133, 1250)(1136, 1269)(1141, 1218)(1144, 1299)(1149, 1160)(1151, 1300)(1152, 1171)(1154, 1301)(1155, 1175)(1161, 1255)(1163, 1268)(1164, 1266)(1165, 1193)(1166, 1305)(1167, 1188)(1168, 1199)(1169, 1303)(1170, 1189)(1172, 1211)(1173, 1202)(1176, 1221)(1177, 1228)(1178, 1302)(1179, 1205)(1180, 1277)(1181, 1289)(1182, 1235)(1183, 1282)(1184, 1217)(1187, 1206)(1190, 1293)(1191, 1291)(1192, 1243)(1194, 1234)(1197, 1306)(1198, 1231)(1200, 1220)(1201, 1223)(1203, 1308)(1204, 1290)(1207, 1310)(1212, 1312)(1213, 1313)(1216, 1279)(1219, 1230)(1224, 1261)(1226, 1315)(1229, 1285)(1232, 1242)(1233, 1286)(1241, 1304)(1248, 1317)(1249, 1283)(1256, 1320)(1257, 1294)(1258, 1296)(1263, 1319)(1264, 1318)(1271, 1297)(1273, 1287)(1274, 1288)(1276, 1311)(1278, 1307)(1280, 1314)(1281, 1295)(1292, 1298)(1309, 1316)
	L = (1, 661)(2, 662)(3, 663)(4, 664)(5, 665)(6, 666)(7, 667)(8, 668)(9, 669)(10, 670)(11, 671)(12, 672)(13, 673)(14, 674)(15, 675)(16, 676)(17, 677)(18, 678)(19, 679)(20, 680)(21, 681)(22, 682)(23, 683)(24, 684)(25, 685)(26, 686)(27, 687)(28, 688)(29, 689)(30, 690)(31, 691)(32, 692)(33, 693)(34, 694)(35, 695)(36, 696)(37, 697)(38, 698)(39, 699)(40, 700)(41, 701)(42, 702)(43, 703)(44, 704)(45, 705)(46, 706)(47, 707)(48, 708)(49, 709)(50, 710)(51, 711)(52, 712)(53, 713)(54, 714)(55, 715)(56, 716)(57, 717)(58, 718)(59, 719)(60, 720)(61, 721)(62, 722)(63, 723)(64, 724)(65, 725)(66, 726)(67, 727)(68, 728)(69, 729)(70, 730)(71, 731)(72, 732)(73, 733)(74, 734)(75, 735)(76, 736)(77, 737)(78, 738)(79, 739)(80, 740)(81, 741)(82, 742)(83, 743)(84, 744)(85, 745)(86, 746)(87, 747)(88, 748)(89, 749)(90, 750)(91, 751)(92, 752)(93, 753)(94, 754)(95, 755)(96, 756)(97, 757)(98, 758)(99, 759)(100, 760)(101, 761)(102, 762)(103, 763)(104, 764)(105, 765)(106, 766)(107, 767)(108, 768)(109, 769)(110, 770)(111, 771)(112, 772)(113, 773)(114, 774)(115, 775)(116, 776)(117, 777)(118, 778)(119, 779)(120, 780)(121, 781)(122, 782)(123, 783)(124, 784)(125, 785)(126, 786)(127, 787)(128, 788)(129, 789)(130, 790)(131, 791)(132, 792)(133, 793)(134, 794)(135, 795)(136, 796)(137, 797)(138, 798)(139, 799)(140, 800)(141, 801)(142, 802)(143, 803)(144, 804)(145, 805)(146, 806)(147, 807)(148, 808)(149, 809)(150, 810)(151, 811)(152, 812)(153, 813)(154, 814)(155, 815)(156, 816)(157, 817)(158, 818)(159, 819)(160, 820)(161, 821)(162, 822)(163, 823)(164, 824)(165, 825)(166, 826)(167, 827)(168, 828)(169, 829)(170, 830)(171, 831)(172, 832)(173, 833)(174, 834)(175, 835)(176, 836)(177, 837)(178, 838)(179, 839)(180, 840)(181, 841)(182, 842)(183, 843)(184, 844)(185, 845)(186, 846)(187, 847)(188, 848)(189, 849)(190, 850)(191, 851)(192, 852)(193, 853)(194, 854)(195, 855)(196, 856)(197, 857)(198, 858)(199, 859)(200, 860)(201, 861)(202, 862)(203, 863)(204, 864)(205, 865)(206, 866)(207, 867)(208, 868)(209, 869)(210, 870)(211, 871)(212, 872)(213, 873)(214, 874)(215, 875)(216, 876)(217, 877)(218, 878)(219, 879)(220, 880)(221, 881)(222, 882)(223, 883)(224, 884)(225, 885)(226, 886)(227, 887)(228, 888)(229, 889)(230, 890)(231, 891)(232, 892)(233, 893)(234, 894)(235, 895)(236, 896)(237, 897)(238, 898)(239, 899)(240, 900)(241, 901)(242, 902)(243, 903)(244, 904)(245, 905)(246, 906)(247, 907)(248, 908)(249, 909)(250, 910)(251, 911)(252, 912)(253, 913)(254, 914)(255, 915)(256, 916)(257, 917)(258, 918)(259, 919)(260, 920)(261, 921)(262, 922)(263, 923)(264, 924)(265, 925)(266, 926)(267, 927)(268, 928)(269, 929)(270, 930)(271, 931)(272, 932)(273, 933)(274, 934)(275, 935)(276, 936)(277, 937)(278, 938)(279, 939)(280, 940)(281, 941)(282, 942)(283, 943)(284, 944)(285, 945)(286, 946)(287, 947)(288, 948)(289, 949)(290, 950)(291, 951)(292, 952)(293, 953)(294, 954)(295, 955)(296, 956)(297, 957)(298, 958)(299, 959)(300, 960)(301, 961)(302, 962)(303, 963)(304, 964)(305, 965)(306, 966)(307, 967)(308, 968)(309, 969)(310, 970)(311, 971)(312, 972)(313, 973)(314, 974)(315, 975)(316, 976)(317, 977)(318, 978)(319, 979)(320, 980)(321, 981)(322, 982)(323, 983)(324, 984)(325, 985)(326, 986)(327, 987)(328, 988)(329, 989)(330, 990)(331, 991)(332, 992)(333, 993)(334, 994)(335, 995)(336, 996)(337, 997)(338, 998)(339, 999)(340, 1000)(341, 1001)(342, 1002)(343, 1003)(344, 1004)(345, 1005)(346, 1006)(347, 1007)(348, 1008)(349, 1009)(350, 1010)(351, 1011)(352, 1012)(353, 1013)(354, 1014)(355, 1015)(356, 1016)(357, 1017)(358, 1018)(359, 1019)(360, 1020)(361, 1021)(362, 1022)(363, 1023)(364, 1024)(365, 1025)(366, 1026)(367, 1027)(368, 1028)(369, 1029)(370, 1030)(371, 1031)(372, 1032)(373, 1033)(374, 1034)(375, 1035)(376, 1036)(377, 1037)(378, 1038)(379, 1039)(380, 1040)(381, 1041)(382, 1042)(383, 1043)(384, 1044)(385, 1045)(386, 1046)(387, 1047)(388, 1048)(389, 1049)(390, 1050)(391, 1051)(392, 1052)(393, 1053)(394, 1054)(395, 1055)(396, 1056)(397, 1057)(398, 1058)(399, 1059)(400, 1060)(401, 1061)(402, 1062)(403, 1063)(404, 1064)(405, 1065)(406, 1066)(407, 1067)(408, 1068)(409, 1069)(410, 1070)(411, 1071)(412, 1072)(413, 1073)(414, 1074)(415, 1075)(416, 1076)(417, 1077)(418, 1078)(419, 1079)(420, 1080)(421, 1081)(422, 1082)(423, 1083)(424, 1084)(425, 1085)(426, 1086)(427, 1087)(428, 1088)(429, 1089)(430, 1090)(431, 1091)(432, 1092)(433, 1093)(434, 1094)(435, 1095)(436, 1096)(437, 1097)(438, 1098)(439, 1099)(440, 1100)(441, 1101)(442, 1102)(443, 1103)(444, 1104)(445, 1105)(446, 1106)(447, 1107)(448, 1108)(449, 1109)(450, 1110)(451, 1111)(452, 1112)(453, 1113)(454, 1114)(455, 1115)(456, 1116)(457, 1117)(458, 1118)(459, 1119)(460, 1120)(461, 1121)(462, 1122)(463, 1123)(464, 1124)(465, 1125)(466, 1126)(467, 1127)(468, 1128)(469, 1129)(470, 1130)(471, 1131)(472, 1132)(473, 1133)(474, 1134)(475, 1135)(476, 1136)(477, 1137)(478, 1138)(479, 1139)(480, 1140)(481, 1141)(482, 1142)(483, 1143)(484, 1144)(485, 1145)(486, 1146)(487, 1147)(488, 1148)(489, 1149)(490, 1150)(491, 1151)(492, 1152)(493, 1153)(494, 1154)(495, 1155)(496, 1156)(497, 1157)(498, 1158)(499, 1159)(500, 1160)(501, 1161)(502, 1162)(503, 1163)(504, 1164)(505, 1165)(506, 1166)(507, 1167)(508, 1168)(509, 1169)(510, 1170)(511, 1171)(512, 1172)(513, 1173)(514, 1174)(515, 1175)(516, 1176)(517, 1177)(518, 1178)(519, 1179)(520, 1180)(521, 1181)(522, 1182)(523, 1183)(524, 1184)(525, 1185)(526, 1186)(527, 1187)(528, 1188)(529, 1189)(530, 1190)(531, 1191)(532, 1192)(533, 1193)(534, 1194)(535, 1195)(536, 1196)(537, 1197)(538, 1198)(539, 1199)(540, 1200)(541, 1201)(542, 1202)(543, 1203)(544, 1204)(545, 1205)(546, 1206)(547, 1207)(548, 1208)(549, 1209)(550, 1210)(551, 1211)(552, 1212)(553, 1213)(554, 1214)(555, 1215)(556, 1216)(557, 1217)(558, 1218)(559, 1219)(560, 1220)(561, 1221)(562, 1222)(563, 1223)(564, 1224)(565, 1225)(566, 1226)(567, 1227)(568, 1228)(569, 1229)(570, 1230)(571, 1231)(572, 1232)(573, 1233)(574, 1234)(575, 1235)(576, 1236)(577, 1237)(578, 1238)(579, 1239)(580, 1240)(581, 1241)(582, 1242)(583, 1243)(584, 1244)(585, 1245)(586, 1246)(587, 1247)(588, 1248)(589, 1249)(590, 1250)(591, 1251)(592, 1252)(593, 1253)(594, 1254)(595, 1255)(596, 1256)(597, 1257)(598, 1258)(599, 1259)(600, 1260)(601, 1261)(602, 1262)(603, 1263)(604, 1264)(605, 1265)(606, 1266)(607, 1267)(608, 1268)(609, 1269)(610, 1270)(611, 1271)(612, 1272)(613, 1273)(614, 1274)(615, 1275)(616, 1276)(617, 1277)(618, 1278)(619, 1279)(620, 1280)(621, 1281)(622, 1282)(623, 1283)(624, 1284)(625, 1285)(626, 1286)(627, 1287)(628, 1288)(629, 1289)(630, 1290)(631, 1291)(632, 1292)(633, 1293)(634, 1294)(635, 1295)(636, 1296)(637, 1297)(638, 1298)(639, 1299)(640, 1300)(641, 1301)(642, 1302)(643, 1303)(644, 1304)(645, 1305)(646, 1306)(647, 1307)(648, 1308)(649, 1309)(650, 1310)(651, 1311)(652, 1312)(653, 1313)(654, 1314)(655, 1315)(656, 1316)(657, 1317)(658, 1318)(659, 1319)(660, 1320)
	local type(s) :: { ( 22, 22 ), ( 22^3 ) }
Outer automorphisms :: reflexible
Dual of E26.1536
Transitivity :: ET+
Graph:: simple bipartite
	v = 550 e = 660 f = 60
	degree seq :: [ 2^330, 3^220 ]

E26.1533 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 11})
Quotient :: edge
Aut^+ = $<660, 13>$ (small group id <660, 13>)
Aut   = $<1320, 133>$ (small group id <1320, 133>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (T2 * T1)^2, (F * T1)^2, T2^11, (T2^2 * T1^-1)^5, (T2^3 * T1^-1 * T2^-3 * T1)^2, T2^3 * T1^-1 * T2^3 * T1^-1 * T2^-2 * T1 * T2^-3 * T1 * T2^-2 * T1^-1, T2^2 * T1^-1 * T2^4 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-1 * T2^2 * T1^-1 * T2^2, T2 * T1^-1 * T2^-3 * T1 * T2^-2 * T1 * T2^2 * T1^-1 * T2^-3 * T1 * T2^-3 * T1^-1, (T2^3 * T1^-1)^5, T2^2 * T1^-1 * T2^-2 * T1 * T2^3 * T1^-1 * T2^2 * T1^-1 * T2^-3 * T1^-1 * T2^2 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 9, 19, 37, 67, 86, 48, 26, 13, 5)(2, 6, 14, 27, 50, 89, 102, 58, 32, 16, 7)(4, 11, 22, 41, 74, 128, 108, 62, 34, 17, 8)(10, 21, 40, 71, 123, 207, 189, 112, 64, 35, 18)(12, 23, 43, 77, 133, 222, 231, 139, 80, 44, 24)(15, 29, 53, 93, 159, 264, 273, 165, 96, 54, 30)(20, 39, 70, 120, 202, 330, 314, 193, 114, 65, 36)(25, 45, 81, 140, 233, 369, 377, 239, 143, 82, 46)(28, 52, 92, 156, 259, 405, 393, 250, 150, 87, 49)(31, 55, 97, 166, 275, 423, 430, 280, 169, 98, 56)(33, 59, 103, 175, 289, 443, 450, 294, 178, 104, 60)(38, 69, 119, 199, 325, 484, 475, 318, 195, 115, 66)(42, 76, 131, 218, 351, 509, 474, 317, 212, 126, 73)(47, 83, 144, 240, 276, 424, 537, 383, 243, 145, 84)(51, 91, 155, 256, 401, 470, 312, 192, 252, 151, 88)(57, 99, 170, 281, 290, 444, 578, 436, 284, 171, 100)(61, 105, 179, 295, 234, 371, 530, 454, 298, 180, 106)(63, 109, 184, 302, 461, 596, 555, 406, 304, 185, 110)(68, 118, 198, 322, 408, 557, 611, 479, 320, 196, 116)(72, 125, 210, 340, 429, 573, 610, 478, 334, 205, 122)(75, 130, 217, 348, 486, 545, 391, 249, 344, 213, 127)(78, 135, 225, 359, 449, 587, 628, 514, 354, 220, 132)(79, 136, 226, 360, 520, 632, 625, 510, 362, 227, 137)(85, 146, 244, 384, 521, 633, 563, 416, 387, 245, 147)(90, 154, 255, 398, 333, 492, 615, 513, 396, 253, 152)(94, 161, 267, 414, 376, 532, 640, 559, 409, 262, 158)(95, 162, 268, 415, 564, 612, 489, 331, 417, 269, 163)(101, 172, 285, 437, 565, 595, 460, 303, 440, 286, 173)(107, 181, 299, 455, 462, 597, 519, 361, 458, 300, 182)(111, 186, 305, 221, 134, 224, 358, 517, 465, 306, 187)(113, 190, 310, 468, 602, 560, 410, 265, 412, 311, 191)(117, 197, 321, 480, 583, 643, 544, 542, 388, 246, 148)(121, 204, 168, 278, 426, 572, 551, 541, 487, 328, 201)(124, 209, 339, 495, 566, 418, 271, 164, 270, 335, 206)(129, 216, 347, 504, 353, 512, 627, 558, 502, 345, 214)(138, 228, 363, 263, 160, 266, 413, 562, 523, 364, 229)(141, 235, 372, 420, 272, 419, 567, 637, 527, 368, 232)(142, 236, 373, 531, 481, 593, 603, 507, 350, 219, 237)(149, 247, 389, 543, 617, 493, 336, 208, 338, 390, 248)(153, 254, 397, 550, 526, 636, 608, 582, 441, 287, 174)(157, 261, 177, 292, 446, 586, 623, 581, 554, 403, 258)(167, 277, 425, 308, 188, 307, 466, 598, 570, 422, 274)(176, 291, 445, 366, 230, 365, 524, 634, 584, 442, 288)(183, 215, 346, 503, 622, 569, 601, 469, 594, 459, 301)(194, 315, 473, 606, 656, 651, 575, 431, 282, 432, 316)(200, 327, 297, 452, 589, 518, 505, 386, 540, 483, 324)(203, 332, 491, 614, 536, 382, 448, 293, 447, 488, 329)(211, 341, 498, 619, 630, 515, 355, 223, 357, 499, 342)(238, 374, 463, 404, 260, 407, 326, 485, 577, 435, 375)(241, 379, 500, 343, 392, 546, 644, 660, 641, 534, 378)(242, 380, 535, 482, 323, 439, 464, 552, 400, 257, 381)(251, 313, 471, 604, 655, 638, 528, 370, 296, 451, 394)(279, 427, 497, 508, 352, 511, 402, 553, 590, 453, 428)(283, 433, 576, 496, 399, 457, 522, 624, 506, 349, 434)(309, 337, 494, 618, 533, 529, 639, 607, 626, 600, 467)(319, 476, 609, 629, 659, 650, 653, 591, 456, 592, 477)(356, 516, 631, 574, 571, 605, 472, 490, 613, 525, 367)(385, 539, 549, 395, 548, 646, 648, 654, 599, 642, 538)(411, 561, 649, 588, 585, 645, 547, 556, 647, 568, 421)(438, 580, 621, 501, 620, 658, 616, 657, 635, 652, 579)(661, 662, 664)(663, 668, 670)(665, 672, 666)(667, 675, 671)(669, 678, 680)(673, 685, 683)(674, 684, 688)(676, 691, 689)(677, 693, 681)(679, 696, 698)(682, 690, 702)(686, 707, 705)(687, 709, 711)(692, 717, 715)(694, 721, 719)(695, 723, 699)(697, 726, 728)(700, 720, 732)(701, 733, 735)(703, 706, 738)(704, 739, 712)(708, 745, 743)(710, 748, 750)(713, 716, 754)(714, 755, 736)(718, 761, 759)(722, 767, 765)(724, 771, 769)(725, 773, 729)(727, 776, 777)(730, 770, 781)(731, 782, 784)(734, 787, 789)(737, 792, 794)(740, 798, 796)(741, 744, 801)(742, 802, 795)(746, 808, 806)(747, 809, 751)(749, 812, 813)(752, 797, 817)(753, 818, 820)(756, 824, 822)(757, 760, 827)(758, 828, 821)(762, 834, 832)(763, 766, 836)(764, 837, 785)(768, 843, 841)(772, 848, 846)(774, 852, 850)(775, 854, 778)(779, 851, 860)(780, 861, 863)(783, 866, 868)(786, 871, 790)(788, 874, 875)(791, 823, 879)(793, 881, 883)(799, 890, 888)(800, 892, 894)(803, 898, 896)(804, 807, 901)(805, 902, 895)(810, 909, 907)(811, 911, 814)(815, 908, 917)(816, 918, 920)(819, 923, 925)(825, 932, 930)(826, 934, 936)(829, 939, 938)(830, 833, 942)(831, 943, 937)(835, 948, 950)(838, 953, 952)(839, 842, 956)(840, 957, 951)(844, 847, 963)(845, 927, 864)(849, 969, 967)(853, 973, 912)(855, 977, 975)(856, 979, 857)(858, 976, 983)(859, 984, 986)(862, 989, 991)(865, 993, 869)(867, 996, 997)(870, 921, 887)(872, 978, 1001)(873, 1003, 876)(877, 1002, 1009)(878, 1010, 1012)(880, 1013, 884)(882, 1015, 1016)(885, 897, 929)(886, 889, 1021)(891, 1027, 1025)(893, 955, 1030)(899, 1036, 1034)(900, 1038, 935)(903, 1042, 1040)(904, 906, 1045)(905, 1046, 1039)(910, 1052, 1004)(913, 1055, 914)(915, 1054, 1059)(916, 1060, 1062)(919, 1064, 1066)(922, 1068, 926)(924, 1070, 1071)(928, 931, 1076)(933, 1081, 1079)(940, 1089, 1087)(941, 1091, 949)(944, 1095, 1093)(945, 947, 1098)(946, 1099, 1092)(954, 1109, 1107)(958, 1113, 1112)(959, 961, 1116)(960, 1117, 1111)(962, 1120, 1122)(964, 1123, 1074)(965, 968, 1017)(966, 1124, 1100)(970, 972, 1129)(971, 1105, 987)(974, 1132, 1131)(980, 1138, 1136)(981, 1137, 1141)(982, 1142, 1073)(985, 1067, 1063)(988, 1146, 992)(990, 1149, 1150)(994, 1139, 1152)(995, 1080, 998)(999, 1058, 1156)(1000, 1022, 1157)(1005, 1161, 1006)(1007, 1160, 1165)(1008, 1166, 1151)(1011, 1168, 1170)(1014, 1173, 1172)(1018, 1164, 1178)(1019, 1077, 1148)(1020, 1179, 1181)(1023, 1026, 1072)(1024, 1182, 1118)(1028, 1186, 1031)(1029, 1188, 1189)(1032, 1041, 1050)(1033, 1035, 1096)(1037, 1193, 1192)(1043, 1106, 1108)(1044, 1198, 1180)(1047, 1078, 1200)(1048, 1201, 1199)(1049, 1051, 1204)(1053, 1207, 1206)(1056, 1174, 1208)(1057, 1209, 1211)(1061, 1171, 1167)(1065, 1215, 1216)(1069, 1218, 1217)(1075, 1223, 1225)(1082, 1229, 1084)(1083, 1194, 1231)(1085, 1094, 1159)(1086, 1088, 1114)(1090, 1234, 1233)(1097, 1239, 1224)(1101, 1241, 1240)(1102, 1243, 1104)(1103, 1235, 1245)(1110, 1248, 1247)(1115, 1251, 1121)(1119, 1253, 1252)(1125, 1213, 1212)(1126, 1127, 1259)(1128, 1261, 1230)(1130, 1263, 1254)(1133, 1134, 1267)(1135, 1268, 1158)(1140, 1191, 1238)(1143, 1226, 1145)(1144, 1214, 1242)(1147, 1202, 1205)(1153, 1276, 1154)(1155, 1236, 1237)(1162, 1219, 1280)(1163, 1281, 1283)(1169, 1285, 1286)(1175, 1289, 1176)(1177, 1249, 1250)(1183, 1274, 1284)(1184, 1185, 1295)(1187, 1279, 1296)(1190, 1210, 1232)(1195, 1196, 1222)(1197, 1282, 1246)(1203, 1303, 1244)(1220, 1308, 1221)(1227, 1228, 1310)(1255, 1293, 1257)(1256, 1313, 1307)(1258, 1314, 1262)(1260, 1292, 1302)(1264, 1265, 1301)(1266, 1299, 1298)(1269, 1270, 1291)(1271, 1287, 1275)(1272, 1312, 1273)(1277, 1294, 1317)(1278, 1318, 1300)(1288, 1309, 1306)(1290, 1297, 1319)(1304, 1305, 1311)(1315, 1320, 1316)
	L = (1, 661)(2, 662)(3, 663)(4, 664)(5, 665)(6, 666)(7, 667)(8, 668)(9, 669)(10, 670)(11, 671)(12, 672)(13, 673)(14, 674)(15, 675)(16, 676)(17, 677)(18, 678)(19, 679)(20, 680)(21, 681)(22, 682)(23, 683)(24, 684)(25, 685)(26, 686)(27, 687)(28, 688)(29, 689)(30, 690)(31, 691)(32, 692)(33, 693)(34, 694)(35, 695)(36, 696)(37, 697)(38, 698)(39, 699)(40, 700)(41, 701)(42, 702)(43, 703)(44, 704)(45, 705)(46, 706)(47, 707)(48, 708)(49, 709)(50, 710)(51, 711)(52, 712)(53, 713)(54, 714)(55, 715)(56, 716)(57, 717)(58, 718)(59, 719)(60, 720)(61, 721)(62, 722)(63, 723)(64, 724)(65, 725)(66, 726)(67, 727)(68, 728)(69, 729)(70, 730)(71, 731)(72, 732)(73, 733)(74, 734)(75, 735)(76, 736)(77, 737)(78, 738)(79, 739)(80, 740)(81, 741)(82, 742)(83, 743)(84, 744)(85, 745)(86, 746)(87, 747)(88, 748)(89, 749)(90, 750)(91, 751)(92, 752)(93, 753)(94, 754)(95, 755)(96, 756)(97, 757)(98, 758)(99, 759)(100, 760)(101, 761)(102, 762)(103, 763)(104, 764)(105, 765)(106, 766)(107, 767)(108, 768)(109, 769)(110, 770)(111, 771)(112, 772)(113, 773)(114, 774)(115, 775)(116, 776)(117, 777)(118, 778)(119, 779)(120, 780)(121, 781)(122, 782)(123, 783)(124, 784)(125, 785)(126, 786)(127, 787)(128, 788)(129, 789)(130, 790)(131, 791)(132, 792)(133, 793)(134, 794)(135, 795)(136, 796)(137, 797)(138, 798)(139, 799)(140, 800)(141, 801)(142, 802)(143, 803)(144, 804)(145, 805)(146, 806)(147, 807)(148, 808)(149, 809)(150, 810)(151, 811)(152, 812)(153, 813)(154, 814)(155, 815)(156, 816)(157, 817)(158, 818)(159, 819)(160, 820)(161, 821)(162, 822)(163, 823)(164, 824)(165, 825)(166, 826)(167, 827)(168, 828)(169, 829)(170, 830)(171, 831)(172, 832)(173, 833)(174, 834)(175, 835)(176, 836)(177, 837)(178, 838)(179, 839)(180, 840)(181, 841)(182, 842)(183, 843)(184, 844)(185, 845)(186, 846)(187, 847)(188, 848)(189, 849)(190, 850)(191, 851)(192, 852)(193, 853)(194, 854)(195, 855)(196, 856)(197, 857)(198, 858)(199, 859)(200, 860)(201, 861)(202, 862)(203, 863)(204, 864)(205, 865)(206, 866)(207, 867)(208, 868)(209, 869)(210, 870)(211, 871)(212, 872)(213, 873)(214, 874)(215, 875)(216, 876)(217, 877)(218, 878)(219, 879)(220, 880)(221, 881)(222, 882)(223, 883)(224, 884)(225, 885)(226, 886)(227, 887)(228, 888)(229, 889)(230, 890)(231, 891)(232, 892)(233, 893)(234, 894)(235, 895)(236, 896)(237, 897)(238, 898)(239, 899)(240, 900)(241, 901)(242, 902)(243, 903)(244, 904)(245, 905)(246, 906)(247, 907)(248, 908)(249, 909)(250, 910)(251, 911)(252, 912)(253, 913)(254, 914)(255, 915)(256, 916)(257, 917)(258, 918)(259, 919)(260, 920)(261, 921)(262, 922)(263, 923)(264, 924)(265, 925)(266, 926)(267, 927)(268, 928)(269, 929)(270, 930)(271, 931)(272, 932)(273, 933)(274, 934)(275, 935)(276, 936)(277, 937)(278, 938)(279, 939)(280, 940)(281, 941)(282, 942)(283, 943)(284, 944)(285, 945)(286, 946)(287, 947)(288, 948)(289, 949)(290, 950)(291, 951)(292, 952)(293, 953)(294, 954)(295, 955)(296, 956)(297, 957)(298, 958)(299, 959)(300, 960)(301, 961)(302, 962)(303, 963)(304, 964)(305, 965)(306, 966)(307, 967)(308, 968)(309, 969)(310, 970)(311, 971)(312, 972)(313, 973)(314, 974)(315, 975)(316, 976)(317, 977)(318, 978)(319, 979)(320, 980)(321, 981)(322, 982)(323, 983)(324, 984)(325, 985)(326, 986)(327, 987)(328, 988)(329, 989)(330, 990)(331, 991)(332, 992)(333, 993)(334, 994)(335, 995)(336, 996)(337, 997)(338, 998)(339, 999)(340, 1000)(341, 1001)(342, 1002)(343, 1003)(344, 1004)(345, 1005)(346, 1006)(347, 1007)(348, 1008)(349, 1009)(350, 1010)(351, 1011)(352, 1012)(353, 1013)(354, 1014)(355, 1015)(356, 1016)(357, 1017)(358, 1018)(359, 1019)(360, 1020)(361, 1021)(362, 1022)(363, 1023)(364, 1024)(365, 1025)(366, 1026)(367, 1027)(368, 1028)(369, 1029)(370, 1030)(371, 1031)(372, 1032)(373, 1033)(374, 1034)(375, 1035)(376, 1036)(377, 1037)(378, 1038)(379, 1039)(380, 1040)(381, 1041)(382, 1042)(383, 1043)(384, 1044)(385, 1045)(386, 1046)(387, 1047)(388, 1048)(389, 1049)(390, 1050)(391, 1051)(392, 1052)(393, 1053)(394, 1054)(395, 1055)(396, 1056)(397, 1057)(398, 1058)(399, 1059)(400, 1060)(401, 1061)(402, 1062)(403, 1063)(404, 1064)(405, 1065)(406, 1066)(407, 1067)(408, 1068)(409, 1069)(410, 1070)(411, 1071)(412, 1072)(413, 1073)(414, 1074)(415, 1075)(416, 1076)(417, 1077)(418, 1078)(419, 1079)(420, 1080)(421, 1081)(422, 1082)(423, 1083)(424, 1084)(425, 1085)(426, 1086)(427, 1087)(428, 1088)(429, 1089)(430, 1090)(431, 1091)(432, 1092)(433, 1093)(434, 1094)(435, 1095)(436, 1096)(437, 1097)(438, 1098)(439, 1099)(440, 1100)(441, 1101)(442, 1102)(443, 1103)(444, 1104)(445, 1105)(446, 1106)(447, 1107)(448, 1108)(449, 1109)(450, 1110)(451, 1111)(452, 1112)(453, 1113)(454, 1114)(455, 1115)(456, 1116)(457, 1117)(458, 1118)(459, 1119)(460, 1120)(461, 1121)(462, 1122)(463, 1123)(464, 1124)(465, 1125)(466, 1126)(467, 1127)(468, 1128)(469, 1129)(470, 1130)(471, 1131)(472, 1132)(473, 1133)(474, 1134)(475, 1135)(476, 1136)(477, 1137)(478, 1138)(479, 1139)(480, 1140)(481, 1141)(482, 1142)(483, 1143)(484, 1144)(485, 1145)(486, 1146)(487, 1147)(488, 1148)(489, 1149)(490, 1150)(491, 1151)(492, 1152)(493, 1153)(494, 1154)(495, 1155)(496, 1156)(497, 1157)(498, 1158)(499, 1159)(500, 1160)(501, 1161)(502, 1162)(503, 1163)(504, 1164)(505, 1165)(506, 1166)(507, 1167)(508, 1168)(509, 1169)(510, 1170)(511, 1171)(512, 1172)(513, 1173)(514, 1174)(515, 1175)(516, 1176)(517, 1177)(518, 1178)(519, 1179)(520, 1180)(521, 1181)(522, 1182)(523, 1183)(524, 1184)(525, 1185)(526, 1186)(527, 1187)(528, 1188)(529, 1189)(530, 1190)(531, 1191)(532, 1192)(533, 1193)(534, 1194)(535, 1195)(536, 1196)(537, 1197)(538, 1198)(539, 1199)(540, 1200)(541, 1201)(542, 1202)(543, 1203)(544, 1204)(545, 1205)(546, 1206)(547, 1207)(548, 1208)(549, 1209)(550, 1210)(551, 1211)(552, 1212)(553, 1213)(554, 1214)(555, 1215)(556, 1216)(557, 1217)(558, 1218)(559, 1219)(560, 1220)(561, 1221)(562, 1222)(563, 1223)(564, 1224)(565, 1225)(566, 1226)(567, 1227)(568, 1228)(569, 1229)(570, 1230)(571, 1231)(572, 1232)(573, 1233)(574, 1234)(575, 1235)(576, 1236)(577, 1237)(578, 1238)(579, 1239)(580, 1240)(581, 1241)(582, 1242)(583, 1243)(584, 1244)(585, 1245)(586, 1246)(587, 1247)(588, 1248)(589, 1249)(590, 1250)(591, 1251)(592, 1252)(593, 1253)(594, 1254)(595, 1255)(596, 1256)(597, 1257)(598, 1258)(599, 1259)(600, 1260)(601, 1261)(602, 1262)(603, 1263)(604, 1264)(605, 1265)(606, 1266)(607, 1267)(608, 1268)(609, 1269)(610, 1270)(611, 1271)(612, 1272)(613, 1273)(614, 1274)(615, 1275)(616, 1276)(617, 1277)(618, 1278)(619, 1279)(620, 1280)(621, 1281)(622, 1282)(623, 1283)(624, 1284)(625, 1285)(626, 1286)(627, 1287)(628, 1288)(629, 1289)(630, 1290)(631, 1291)(632, 1292)(633, 1293)(634, 1294)(635, 1295)(636, 1296)(637, 1297)(638, 1298)(639, 1299)(640, 1300)(641, 1301)(642, 1302)(643, 1303)(644, 1304)(645, 1305)(646, 1306)(647, 1307)(648, 1308)(649, 1309)(650, 1310)(651, 1311)(652, 1312)(653, 1313)(654, 1314)(655, 1315)(656, 1316)(657, 1317)(658, 1318)(659, 1319)(660, 1320)
	local type(s) :: { ( 4^3 ), ( 4^11 ) }
Outer automorphisms :: reflexible
Dual of E26.1537
Transitivity :: ET+
Graph:: simple bipartite
	v = 280 e = 660 f = 330
	degree seq :: [ 3^220, 11^60 ]

E26.1534 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 11})
Quotient :: edge
Aut^+ = $<660, 13>$ (small group id <660, 13>)
Aut   = $<1320, 133>$ (small group id <1320, 133>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1 * T2)^3, T1^11, (T2 * T1^3 * T2 * T1^-3)^2, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1^-3 * T2 * T1^-2, T2 * T1^2 * T2 * T1^-3 * T2 * T1^-2 * T2 * T1^4 * T2 * T1^5, T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-3 * T2 * T1 * T2 * T1^-4 * T2 * T1^-2 * T2 * T1, (T2 * T1^2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^-1)^2, (T1^-1 * T2 * T1^5 * T2 * T1^-3)^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, 63)(40, 64)(41, 69)(42, 70)(43, 73)(46, 76)(47, 79)(50, 80)(51, 84)(52, 87)(54, 89)(55, 92)(57, 93)(58, 97)(60, 100)(62, 102)(65, 103)(66, 108)(67, 109)(68, 112)(71, 115)(72, 118)(74, 119)(75, 123)(77, 125)(78, 127)(81, 128)(82, 133)(83, 134)(85, 137)(86, 140)(88, 143)(90, 145)(91, 147)(94, 148)(95, 152)(96, 155)(98, 156)(99, 160)(101, 163)(104, 164)(105, 168)(106, 169)(107, 172)(110, 175)(111, 178)(113, 179)(114, 183)(116, 185)(117, 187)(120, 188)(121, 192)(122, 195)(124, 198)(126, 200)(129, 201)(130, 206)(131, 207)(132, 209)(135, 212)(136, 215)(138, 217)(139, 219)(141, 220)(142, 224)(144, 227)(146, 229)(149, 230)(150, 234)(151, 235)(153, 238)(154, 241)(157, 242)(158, 245)(159, 223)(161, 248)(162, 252)(165, 256)(166, 257)(167, 260)(170, 263)(171, 266)(173, 267)(174, 271)(176, 272)(177, 274)(180, 275)(181, 279)(182, 282)(184, 284)(186, 286)(189, 287)(190, 292)(191, 293)(193, 295)(194, 298)(196, 299)(197, 302)(199, 305)(202, 228)(203, 310)(204, 311)(205, 314)(208, 317)(210, 318)(211, 322)(213, 323)(214, 326)(216, 329)(218, 332)(221, 333)(222, 336)(225, 339)(226, 342)(231, 345)(232, 350)(233, 352)(236, 312)(237, 357)(239, 359)(240, 360)(243, 364)(244, 365)(246, 368)(247, 340)(249, 338)(250, 373)(251, 325)(253, 376)(254, 380)(255, 382)(258, 385)(259, 388)(261, 389)(262, 393)(264, 394)(265, 396)(268, 397)(269, 401)(270, 404)(273, 407)(276, 408)(277, 413)(278, 414)(280, 416)(281, 419)(283, 420)(285, 425)(288, 306)(289, 430)(290, 431)(291, 433)(294, 436)(296, 437)(297, 439)(300, 440)(301, 443)(303, 445)(304, 447)(307, 451)(308, 452)(309, 455)(313, 460)(315, 461)(316, 464)(319, 465)(320, 412)(321, 470)(324, 473)(327, 475)(328, 478)(330, 346)(331, 481)(334, 399)(335, 484)(337, 487)(341, 492)(343, 494)(344, 497)(347, 423)(348, 501)(349, 504)(351, 507)(353, 434)(354, 458)(355, 457)(356, 512)(358, 514)(361, 516)(362, 520)(363, 463)(366, 502)(367, 525)(369, 527)(370, 528)(371, 530)(372, 531)(374, 534)(375, 476)(377, 474)(378, 539)(379, 511)(381, 483)(383, 543)(384, 545)(386, 546)(387, 467)(390, 548)(391, 479)(392, 551)(395, 554)(398, 508)(400, 557)(402, 466)(403, 559)(405, 560)(406, 563)(409, 426)(410, 454)(411, 521)(415, 526)(417, 506)(418, 569)(421, 570)(422, 572)(424, 573)(427, 529)(428, 576)(429, 579)(432, 581)(435, 535)(438, 585)(441, 549)(442, 588)(444, 591)(446, 592)(448, 593)(449, 596)(450, 597)(453, 599)(456, 600)(459, 603)(462, 604)(468, 606)(469, 589)(471, 540)(472, 609)(477, 612)(480, 614)(482, 615)(485, 577)(486, 620)(488, 622)(489, 623)(490, 624)(491, 561)(493, 513)(495, 626)(496, 583)(498, 544)(499, 629)(500, 630)(503, 632)(505, 633)(509, 547)(510, 634)(515, 517)(518, 550)(519, 619)(522, 553)(523, 631)(524, 617)(532, 562)(533, 639)(536, 571)(537, 640)(538, 574)(541, 587)(542, 635)(552, 644)(555, 564)(556, 578)(558, 647)(565, 648)(566, 601)(567, 621)(568, 610)(575, 652)(580, 607)(582, 605)(584, 616)(586, 655)(590, 656)(594, 657)(595, 638)(598, 658)(602, 659)(608, 643)(611, 651)(613, 637)(618, 653)(625, 636)(627, 645)(628, 641)(642, 649)(646, 654)(650, 660)(661, 662, 665, 671, 681, 697, 722, 696, 680, 670, 664)(663, 667, 675, 687, 707, 738, 750, 714, 691, 677, 668)(666, 673, 685, 703, 732, 777, 786, 737, 706, 686, 674)(669, 678, 692, 715, 751, 806, 798, 745, 711, 689, 676)(672, 683, 701, 728, 771, 837, 846, 776, 731, 702, 684)(679, 694, 718, 756, 814, 900, 899, 813, 755, 717, 693)(682, 699, 726, 767, 831, 925, 933, 836, 770, 727, 700)(688, 709, 742, 792, 868, 976, 984, 873, 795, 743, 710)(690, 712, 746, 799, 878, 991, 956, 853, 781, 734, 704)(695, 720, 759, 819, 907, 1030, 1029, 906, 818, 758, 719)(698, 724, 765, 827, 919, 1047, 1055, 924, 830, 766, 725)(705, 735, 782, 854, 957, 1098, 1077, 940, 841, 773, 729)(708, 740, 790, 865, 973, 1119, 1065, 931, 835, 791, 741)(713, 748, 802, 883, 998, 1149, 1148, 997, 882, 801, 747)(716, 753, 810, 893, 1011, 1166, 1170, 1015, 896, 811, 754)(721, 761, 822, 911, 1035, 1196, 1195, 1034, 910, 821, 760)(723, 763, 825, 915, 1041, 1144, 1207, 1046, 918, 826, 764)(730, 774, 842, 941, 1078, 1228, 1124, 1062, 929, 833, 768)(733, 779, 850, 951, 1092, 1240, 1212, 1053, 923, 851, 780)(736, 784, 857, 815, 902, 1022, 1179, 1104, 961, 856, 783)(739, 788, 863, 969, 1114, 1074, 1206, 1118, 972, 864, 789)(744, 796, 874, 985, 1134, 1271, 1267, 1128, 980, 870, 793)(749, 804, 886, 958, 1100, 1247, 1172, 1153, 1001, 885, 803)(752, 808, 892, 1009, 1163, 1082, 943, 843, 775, 844, 809)(757, 816, 903, 1023, 1181, 1097, 1244, 1183, 1026, 904, 817)(762, 824, 914, 1039, 1201, 1248, 1130, 1200, 1038, 913, 823)(769, 834, 930, 1063, 1218, 1142, 992, 1138, 1051, 921, 828)(772, 839, 937, 1072, 1227, 1282, 1301, 1205, 1045, 938, 840)(778, 848, 949, 1089, 1238, 1217, 1131, 982, 872, 950, 849)(785, 859, 964, 1079, 1230, 1136, 986, 1135, 1106, 963, 858)(787, 861, 967, 1110, 1180, 1025, 1182, 1214, 1113, 968, 862)(794, 871, 981, 1129, 1225, 1069, 934, 1068, 1123, 975, 866)(797, 876, 988, 879, 993, 1143, 1277, 1273, 1137, 987, 875)(800, 880, 994, 1061, 1174, 1019, 1175, 1278, 1145, 995, 881)(805, 888, 1004, 1156, 1231, 1081, 942, 1080, 1155, 1003, 887)(807, 890, 1007, 1160, 1090, 953, 1054, 1213, 1162, 1008, 891)(812, 897, 1016, 1171, 1295, 1317, 1263, 1242, 1093, 1013, 894)(820, 908, 1031, 1189, 1091, 983, 1132, 1268, 1192, 1032, 909)(829, 922, 1052, 1210, 1303, 1246, 1099, 1002, 1154, 1043, 916)(832, 927, 1059, 996, 1146, 1279, 1257, 1300, 1199, 1060, 928)(838, 935, 1070, 1226, 1309, 1299, 1194, 1096, 955, 1071, 936)(845, 945, 1084, 1219, 1151, 1000, 884, 999, 1150, 1083, 944)(847, 947, 1087, 1165, 1010, 895, 1014, 1169, 1237, 1088, 948)(852, 954, 1095, 1243, 1305, 1215, 1056, 1168, 1012, 1094, 952)(855, 959, 1101, 1139, 989, 877, 990, 1140, 1249, 1102, 960)(860, 966, 1109, 1255, 1188, 1221, 1064, 1220, 1254, 1108, 965)(867, 932, 1066, 1222, 1178, 1021, 901, 962, 1105, 1116, 970)(869, 978, 1073, 939, 1075, 1187, 1298, 1318, 1259, 1127, 979)(889, 1005, 1158, 1288, 1283, 1191, 1223, 1067, 1224, 1159, 1006)(898, 1018, 1126, 977, 1125, 1048, 1208, 1302, 1296, 1173, 1017)(905, 1027, 1184, 1042, 1203, 1286, 1232, 1122, 974, 1121, 1024)(912, 1036, 1197, 1111, 971, 1117, 1262, 1307, 1233, 1198, 1037)(917, 1044, 1204, 1161, 1291, 1310, 1229, 1107, 1253, 1202, 1040)(920, 1049, 1209, 1103, 1250, 1164, 1293, 1190, 1033, 1193, 1050)(926, 1057, 1216, 1306, 1297, 1185, 1028, 1186, 1076, 1167, 1058)(946, 1086, 1235, 1177, 1020, 1176, 1211, 1304, 1311, 1234, 1085)(1112, 1258, 1256, 1236, 1313, 1312, 1308, 1274, 1289, 1287, 1157)(1115, 1260, 1252, 1272, 1314, 1239, 1290, 1284, 1152, 1285, 1261)(1120, 1264, 1292, 1316, 1251, 1280, 1147, 1281, 1266, 1241, 1265)(1133, 1270, 1320, 1276, 1141, 1275, 1319, 1294, 1245, 1315, 1269)
	L = (1, 661)(2, 662)(3, 663)(4, 664)(5, 665)(6, 666)(7, 667)(8, 668)(9, 669)(10, 670)(11, 671)(12, 672)(13, 673)(14, 674)(15, 675)(16, 676)(17, 677)(18, 678)(19, 679)(20, 680)(21, 681)(22, 682)(23, 683)(24, 684)(25, 685)(26, 686)(27, 687)(28, 688)(29, 689)(30, 690)(31, 691)(32, 692)(33, 693)(34, 694)(35, 695)(36, 696)(37, 697)(38, 698)(39, 699)(40, 700)(41, 701)(42, 702)(43, 703)(44, 704)(45, 705)(46, 706)(47, 707)(48, 708)(49, 709)(50, 710)(51, 711)(52, 712)(53, 713)(54, 714)(55, 715)(56, 716)(57, 717)(58, 718)(59, 719)(60, 720)(61, 721)(62, 722)(63, 723)(64, 724)(65, 725)(66, 726)(67, 727)(68, 728)(69, 729)(70, 730)(71, 731)(72, 732)(73, 733)(74, 734)(75, 735)(76, 736)(77, 737)(78, 738)(79, 739)(80, 740)(81, 741)(82, 742)(83, 743)(84, 744)(85, 745)(86, 746)(87, 747)(88, 748)(89, 749)(90, 750)(91, 751)(92, 752)(93, 753)(94, 754)(95, 755)(96, 756)(97, 757)(98, 758)(99, 759)(100, 760)(101, 761)(102, 762)(103, 763)(104, 764)(105, 765)(106, 766)(107, 767)(108, 768)(109, 769)(110, 770)(111, 771)(112, 772)(113, 773)(114, 774)(115, 775)(116, 776)(117, 777)(118, 778)(119, 779)(120, 780)(121, 781)(122, 782)(123, 783)(124, 784)(125, 785)(126, 786)(127, 787)(128, 788)(129, 789)(130, 790)(131, 791)(132, 792)(133, 793)(134, 794)(135, 795)(136, 796)(137, 797)(138, 798)(139, 799)(140, 800)(141, 801)(142, 802)(143, 803)(144, 804)(145, 805)(146, 806)(147, 807)(148, 808)(149, 809)(150, 810)(151, 811)(152, 812)(153, 813)(154, 814)(155, 815)(156, 816)(157, 817)(158, 818)(159, 819)(160, 820)(161, 821)(162, 822)(163, 823)(164, 824)(165, 825)(166, 826)(167, 827)(168, 828)(169, 829)(170, 830)(171, 831)(172, 832)(173, 833)(174, 834)(175, 835)(176, 836)(177, 837)(178, 838)(179, 839)(180, 840)(181, 841)(182, 842)(183, 843)(184, 844)(185, 845)(186, 846)(187, 847)(188, 848)(189, 849)(190, 850)(191, 851)(192, 852)(193, 853)(194, 854)(195, 855)(196, 856)(197, 857)(198, 858)(199, 859)(200, 860)(201, 861)(202, 862)(203, 863)(204, 864)(205, 865)(206, 866)(207, 867)(208, 868)(209, 869)(210, 870)(211, 871)(212, 872)(213, 873)(214, 874)(215, 875)(216, 876)(217, 877)(218, 878)(219, 879)(220, 880)(221, 881)(222, 882)(223, 883)(224, 884)(225, 885)(226, 886)(227, 887)(228, 888)(229, 889)(230, 890)(231, 891)(232, 892)(233, 893)(234, 894)(235, 895)(236, 896)(237, 897)(238, 898)(239, 899)(240, 900)(241, 901)(242, 902)(243, 903)(244, 904)(245, 905)(246, 906)(247, 907)(248, 908)(249, 909)(250, 910)(251, 911)(252, 912)(253, 913)(254, 914)(255, 915)(256, 916)(257, 917)(258, 918)(259, 919)(260, 920)(261, 921)(262, 922)(263, 923)(264, 924)(265, 925)(266, 926)(267, 927)(268, 928)(269, 929)(270, 930)(271, 931)(272, 932)(273, 933)(274, 934)(275, 935)(276, 936)(277, 937)(278, 938)(279, 939)(280, 940)(281, 941)(282, 942)(283, 943)(284, 944)(285, 945)(286, 946)(287, 947)(288, 948)(289, 949)(290, 950)(291, 951)(292, 952)(293, 953)(294, 954)(295, 955)(296, 956)(297, 957)(298, 958)(299, 959)(300, 960)(301, 961)(302, 962)(303, 963)(304, 964)(305, 965)(306, 966)(307, 967)(308, 968)(309, 969)(310, 970)(311, 971)(312, 972)(313, 973)(314, 974)(315, 975)(316, 976)(317, 977)(318, 978)(319, 979)(320, 980)(321, 981)(322, 982)(323, 983)(324, 984)(325, 985)(326, 986)(327, 987)(328, 988)(329, 989)(330, 990)(331, 991)(332, 992)(333, 993)(334, 994)(335, 995)(336, 996)(337, 997)(338, 998)(339, 999)(340, 1000)(341, 1001)(342, 1002)(343, 1003)(344, 1004)(345, 1005)(346, 1006)(347, 1007)(348, 1008)(349, 1009)(350, 1010)(351, 1011)(352, 1012)(353, 1013)(354, 1014)(355, 1015)(356, 1016)(357, 1017)(358, 1018)(359, 1019)(360, 1020)(361, 1021)(362, 1022)(363, 1023)(364, 1024)(365, 1025)(366, 1026)(367, 1027)(368, 1028)(369, 1029)(370, 1030)(371, 1031)(372, 1032)(373, 1033)(374, 1034)(375, 1035)(376, 1036)(377, 1037)(378, 1038)(379, 1039)(380, 1040)(381, 1041)(382, 1042)(383, 1043)(384, 1044)(385, 1045)(386, 1046)(387, 1047)(388, 1048)(389, 1049)(390, 1050)(391, 1051)(392, 1052)(393, 1053)(394, 1054)(395, 1055)(396, 1056)(397, 1057)(398, 1058)(399, 1059)(400, 1060)(401, 1061)(402, 1062)(403, 1063)(404, 1064)(405, 1065)(406, 1066)(407, 1067)(408, 1068)(409, 1069)(410, 1070)(411, 1071)(412, 1072)(413, 1073)(414, 1074)(415, 1075)(416, 1076)(417, 1077)(418, 1078)(419, 1079)(420, 1080)(421, 1081)(422, 1082)(423, 1083)(424, 1084)(425, 1085)(426, 1086)(427, 1087)(428, 1088)(429, 1089)(430, 1090)(431, 1091)(432, 1092)(433, 1093)(434, 1094)(435, 1095)(436, 1096)(437, 1097)(438, 1098)(439, 1099)(440, 1100)(441, 1101)(442, 1102)(443, 1103)(444, 1104)(445, 1105)(446, 1106)(447, 1107)(448, 1108)(449, 1109)(450, 1110)(451, 1111)(452, 1112)(453, 1113)(454, 1114)(455, 1115)(456, 1116)(457, 1117)(458, 1118)(459, 1119)(460, 1120)(461, 1121)(462, 1122)(463, 1123)(464, 1124)(465, 1125)(466, 1126)(467, 1127)(468, 1128)(469, 1129)(470, 1130)(471, 1131)(472, 1132)(473, 1133)(474, 1134)(475, 1135)(476, 1136)(477, 1137)(478, 1138)(479, 1139)(480, 1140)(481, 1141)(482, 1142)(483, 1143)(484, 1144)(485, 1145)(486, 1146)(487, 1147)(488, 1148)(489, 1149)(490, 1150)(491, 1151)(492, 1152)(493, 1153)(494, 1154)(495, 1155)(496, 1156)(497, 1157)(498, 1158)(499, 1159)(500, 1160)(501, 1161)(502, 1162)(503, 1163)(504, 1164)(505, 1165)(506, 1166)(507, 1167)(508, 1168)(509, 1169)(510, 1170)(511, 1171)(512, 1172)(513, 1173)(514, 1174)(515, 1175)(516, 1176)(517, 1177)(518, 1178)(519, 1179)(520, 1180)(521, 1181)(522, 1182)(523, 1183)(524, 1184)(525, 1185)(526, 1186)(527, 1187)(528, 1188)(529, 1189)(530, 1190)(531, 1191)(532, 1192)(533, 1193)(534, 1194)(535, 1195)(536, 1196)(537, 1197)(538, 1198)(539, 1199)(540, 1200)(541, 1201)(542, 1202)(543, 1203)(544, 1204)(545, 1205)(546, 1206)(547, 1207)(548, 1208)(549, 1209)(550, 1210)(551, 1211)(552, 1212)(553, 1213)(554, 1214)(555, 1215)(556, 1216)(557, 1217)(558, 1218)(559, 1219)(560, 1220)(561, 1221)(562, 1222)(563, 1223)(564, 1224)(565, 1225)(566, 1226)(567, 1227)(568, 1228)(569, 1229)(570, 1230)(571, 1231)(572, 1232)(573, 1233)(574, 1234)(575, 1235)(576, 1236)(577, 1237)(578, 1238)(579, 1239)(580, 1240)(581, 1241)(582, 1242)(583, 1243)(584, 1244)(585, 1245)(586, 1246)(587, 1247)(588, 1248)(589, 1249)(590, 1250)(591, 1251)(592, 1252)(593, 1253)(594, 1254)(595, 1255)(596, 1256)(597, 1257)(598, 1258)(599, 1259)(600, 1260)(601, 1261)(602, 1262)(603, 1263)(604, 1264)(605, 1265)(606, 1266)(607, 1267)(608, 1268)(609, 1269)(610, 1270)(611, 1271)(612, 1272)(613, 1273)(614, 1274)(615, 1275)(616, 1276)(617, 1277)(618, 1278)(619, 1279)(620, 1280)(621, 1281)(622, 1282)(623, 1283)(624, 1284)(625, 1285)(626, 1286)(627, 1287)(628, 1288)(629, 1289)(630, 1290)(631, 1291)(632, 1292)(633, 1293)(634, 1294)(635, 1295)(636, 1296)(637, 1297)(638, 1298)(639, 1299)(640, 1300)(641, 1301)(642, 1302)(643, 1303)(644, 1304)(645, 1305)(646, 1306)(647, 1307)(648, 1308)(649, 1309)(650, 1310)(651, 1311)(652, 1312)(653, 1313)(654, 1314)(655, 1315)(656, 1316)(657, 1317)(658, 1318)(659, 1319)(660, 1320)
	local type(s) :: { ( 6, 6 ), ( 6^11 ) }
Outer automorphisms :: reflexible
Dual of E26.1535
Transitivity :: ET+
Graph:: simple bipartite
	v = 390 e = 660 f = 220
	degree seq :: [ 2^330, 11^60 ]

E26.1535 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 11})
Quotient :: loop
Aut^+ = $<660, 13>$ (small group id <660, 13>)
Aut   = $<1320, 133>$ (small group id <1320, 133>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2 * T1 * T2^-1)^5, (T2^-1 * T1)^11, (T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1)^2, T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2, (T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1)^2 ]
Map::
	R = (1, 661, 3, 663, 4, 664)(2, 662, 5, 665, 6, 666)(7, 667, 11, 671, 12, 672)(8, 668, 13, 673, 14, 674)(9, 669, 15, 675, 16, 676)(10, 670, 17, 677, 18, 678)(19, 679, 27, 687, 28, 688)(20, 680, 29, 689, 30, 690)(21, 681, 31, 691, 32, 692)(22, 682, 33, 693, 34, 694)(23, 683, 35, 695, 36, 696)(24, 684, 37, 697, 38, 698)(25, 685, 39, 699, 40, 700)(26, 686, 41, 701, 42, 702)(43, 703, 59, 719, 60, 720)(44, 704, 61, 721, 62, 722)(45, 705, 63, 723, 64, 724)(46, 706, 65, 725, 66, 726)(47, 707, 67, 727, 68, 728)(48, 708, 69, 729, 70, 730)(49, 709, 71, 731, 72, 732)(50, 710, 73, 733, 74, 734)(51, 711, 75, 735, 76, 736)(52, 712, 77, 737, 78, 738)(53, 713, 79, 739, 80, 740)(54, 714, 81, 741, 82, 742)(55, 715, 83, 743, 84, 744)(56, 716, 85, 745, 86, 746)(57, 717, 87, 747, 88, 748)(58, 718, 89, 749, 90, 750)(91, 751, 123, 783, 124, 784)(92, 752, 125, 785, 126, 786)(93, 753, 127, 787, 128, 788)(94, 754, 129, 789, 130, 790)(95, 755, 131, 791, 132, 792)(96, 756, 133, 793, 134, 794)(97, 757, 135, 795, 136, 796)(98, 758, 137, 797, 138, 798)(99, 759, 139, 799, 140, 800)(100, 760, 141, 801, 142, 802)(101, 761, 143, 803, 144, 804)(102, 762, 145, 805, 146, 806)(103, 763, 147, 807, 148, 808)(104, 764, 149, 809, 150, 810)(105, 765, 151, 811, 152, 812)(106, 766, 153, 813, 154, 814)(107, 767, 155, 815, 156, 816)(108, 768, 157, 817, 158, 818)(109, 769, 159, 819, 160, 820)(110, 770, 161, 821, 162, 822)(111, 771, 163, 823, 164, 824)(112, 772, 165, 825, 166, 826)(113, 773, 167, 827, 168, 828)(114, 774, 169, 829, 170, 830)(115, 775, 171, 831, 172, 832)(116, 776, 173, 833, 174, 834)(117, 777, 175, 835, 176, 836)(118, 778, 177, 837, 178, 838)(119, 779, 179, 839, 180, 840)(120, 780, 181, 841, 182, 842)(121, 781, 183, 843, 184, 844)(122, 782, 185, 845, 186, 846)(187, 847, 246, 906, 247, 907)(188, 848, 248, 908, 249, 909)(189, 849, 250, 910, 251, 911)(190, 850, 252, 912, 253, 913)(191, 851, 254, 914, 255, 915)(192, 852, 211, 871, 256, 916)(193, 853, 257, 917, 258, 918)(194, 854, 259, 919, 260, 920)(195, 855, 261, 921, 262, 922)(196, 856, 263, 923, 264, 924)(197, 857, 265, 925, 266, 926)(198, 858, 267, 927, 268, 928)(199, 859, 269, 929, 270, 930)(200, 860, 271, 931, 272, 932)(201, 861, 273, 933, 274, 934)(202, 862, 275, 935, 276, 936)(203, 863, 277, 937, 278, 938)(204, 864, 279, 939, 280, 940)(205, 865, 281, 941, 282, 942)(206, 866, 283, 943, 284, 944)(207, 867, 285, 945, 286, 946)(208, 868, 287, 947, 288, 948)(209, 869, 289, 949, 290, 950)(210, 870, 291, 951, 292, 952)(212, 872, 293, 953, 294, 954)(213, 873, 295, 955, 296, 956)(214, 874, 297, 957, 298, 958)(215, 875, 299, 959, 300, 960)(216, 876, 301, 961, 217, 877)(218, 878, 438, 1098, 345, 1005)(219, 879, 439, 1099, 594, 1254)(220, 880, 397, 1057, 482, 1142)(221, 881, 441, 1101, 573, 1233)(222, 882, 241, 901, 468, 1128)(223, 883, 443, 1103, 643, 1303)(224, 884, 445, 1105, 388, 1048)(225, 885, 446, 1106, 372, 1032)(226, 886, 381, 1041, 380, 1040)(227, 887, 448, 1108, 609, 1269)(228, 888, 450, 1110, 531, 1191)(229, 889, 413, 1073, 396, 1056)(230, 890, 435, 1095, 640, 1300)(231, 891, 454, 1114, 361, 1021)(232, 892, 420, 1080, 418, 1078)(233, 893, 456, 1116, 404, 1064)(234, 894, 458, 1118, 632, 1292)(235, 895, 460, 1120, 483, 1143)(236, 896, 462, 1122, 574, 1234)(237, 897, 464, 1124, 648, 1308)(238, 898, 465, 1125, 591, 1251)(239, 899, 466, 1126, 453, 1113)(240, 900, 337, 997, 335, 995)(242, 902, 433, 1093, 583, 1243)(243, 903, 470, 1130, 525, 1185)(244, 904, 347, 1007, 585, 1245)(245, 905, 472, 1132, 390, 1050)(302, 962, 340, 1000, 338, 998)(303, 963, 334, 994, 332, 992)(304, 964, 367, 1027, 365, 1025)(305, 965, 371, 1031, 369, 1029)(306, 966, 375, 1035, 373, 1033)(307, 967, 379, 1039, 377, 1037)(308, 968, 319, 979, 318, 978)(309, 969, 317, 977, 316, 976)(310, 970, 424, 1084, 423, 1083)(311, 971, 430, 1090, 428, 1088)(312, 972, 434, 1094, 432, 1092)(313, 973, 449, 1109, 447, 1107)(314, 974, 461, 1121, 457, 1117)(315, 975, 469, 1129, 467, 1127)(320, 980, 545, 1205, 546, 1206)(321, 981, 547, 1207, 548, 1208)(322, 982, 550, 1210, 530, 1190)(323, 983, 463, 1123, 551, 1211)(324, 984, 553, 1213, 554, 1214)(325, 985, 556, 1216, 526, 1186)(326, 986, 557, 1217, 558, 1218)(327, 987, 559, 1219, 561, 1221)(328, 988, 562, 1222, 532, 1192)(329, 989, 431, 1091, 564, 1224)(330, 990, 566, 1226, 497, 1157)(331, 991, 569, 1229, 522, 1182)(333, 993, 427, 1087, 426, 1086)(336, 996, 437, 1097, 436, 1096)(339, 999, 455, 1115, 452, 1112)(341, 1001, 473, 1133, 471, 1131)(342, 1002, 575, 1235, 576, 1236)(343, 1003, 577, 1237, 578, 1238)(344, 1004, 579, 1239, 539, 1199)(346, 1006, 582, 1242, 521, 1181)(348, 1008, 572, 1232, 586, 1246)(349, 1009, 560, 1220, 587, 1247)(350, 1010, 588, 1248, 541, 1201)(351, 1011, 421, 1081, 590, 1250)(352, 1012, 592, 1252, 415, 1075)(353, 1013, 595, 1255, 498, 1158)(354, 1014, 499, 1159, 596, 1256)(355, 1015, 597, 1257, 510, 1170)(356, 1016, 598, 1258, 542, 1202)(357, 1017, 600, 1260, 570, 1230)(358, 1018, 505, 1165, 602, 1262)(359, 1019, 487, 1147, 493, 1153)(360, 1020, 509, 1169, 477, 1137)(362, 1022, 442, 1102, 489, 1149)(363, 1023, 604, 1264, 398, 1058)(364, 1024, 495, 1155, 529, 1189)(366, 1026, 607, 1267, 608, 1268)(368, 1028, 502, 1162, 552, 1212)(370, 1030, 605, 1265, 611, 1271)(374, 1034, 612, 1272, 613, 1273)(376, 1036, 614, 1274, 565, 1225)(378, 1038, 593, 1253, 496, 1156)(382, 1042, 523, 1183, 617, 1277)(383, 1043, 618, 1278, 406, 1066)(384, 1044, 619, 1279, 536, 1196)(385, 1045, 620, 1280, 571, 1231)(386, 1046, 402, 1062, 621, 1281)(387, 1047, 512, 1172, 517, 1177)(389, 1049, 400, 1060, 622, 1282)(391, 1051, 518, 1178, 534, 1194)(392, 1052, 416, 1076, 624, 1284)(393, 1053, 601, 1261, 544, 1204)(394, 1054, 625, 1285, 543, 1203)(395, 1055, 476, 1136, 626, 1286)(399, 1059, 500, 1160, 410, 1070)(401, 1061, 623, 1283, 628, 1288)(403, 1063, 629, 1289, 533, 1193)(405, 1065, 630, 1290, 514, 1174)(407, 1067, 567, 1227, 519, 1179)(408, 1068, 417, 1077, 631, 1291)(409, 1069, 584, 1244, 504, 1164)(411, 1071, 491, 1151, 515, 1175)(412, 1072, 494, 1154, 540, 1200)(414, 1074, 538, 1198, 485, 1145)(419, 1079, 634, 1294, 635, 1295)(422, 1082, 636, 1296, 581, 1241)(425, 1085, 637, 1297, 480, 1140)(429, 1089, 639, 1299, 615, 1275)(440, 1100, 642, 1302, 516, 1176)(444, 1104, 492, 1152, 599, 1259)(451, 1111, 484, 1144, 646, 1306)(459, 1119, 638, 1298, 610, 1270)(474, 1134, 627, 1287, 649, 1309)(475, 1135, 513, 1173, 568, 1228)(478, 1138, 650, 1310, 535, 1195)(479, 1139, 616, 1276, 606, 1266)(481, 1141, 651, 1311, 644, 1304)(486, 1146, 501, 1161, 652, 1312)(488, 1148, 527, 1187, 520, 1180)(490, 1150, 508, 1168, 641, 1301)(503, 1163, 603, 1263, 653, 1313)(506, 1166, 645, 1305, 528, 1188)(507, 1167, 654, 1314, 655, 1315)(511, 1171, 524, 1184, 633, 1293)(537, 1197, 580, 1240, 656, 1316)(549, 1209, 589, 1249, 657, 1317)(555, 1215, 563, 1223, 658, 1318)(647, 1307, 660, 1320, 659, 1319)
	L = (1, 662)(2, 661)(3, 667)(4, 668)(5, 669)(6, 670)(7, 663)(8, 664)(9, 665)(10, 666)(11, 679)(12, 680)(13, 681)(14, 682)(15, 683)(16, 684)(17, 685)(18, 686)(19, 671)(20, 672)(21, 673)(22, 674)(23, 675)(24, 676)(25, 677)(26, 678)(27, 703)(28, 704)(29, 705)(30, 706)(31, 707)(32, 708)(33, 709)(34, 710)(35, 711)(36, 712)(37, 713)(38, 714)(39, 715)(40, 716)(41, 717)(42, 718)(43, 687)(44, 688)(45, 689)(46, 690)(47, 691)(48, 692)(49, 693)(50, 694)(51, 695)(52, 696)(53, 697)(54, 698)(55, 699)(56, 700)(57, 701)(58, 702)(59, 751)(60, 752)(61, 753)(62, 754)(63, 755)(64, 756)(65, 757)(66, 758)(67, 759)(68, 760)(69, 761)(70, 762)(71, 763)(72, 764)(73, 765)(74, 766)(75, 767)(76, 768)(77, 769)(78, 770)(79, 771)(80, 772)(81, 773)(82, 774)(83, 775)(84, 776)(85, 777)(86, 778)(87, 779)(88, 780)(89, 781)(90, 782)(91, 719)(92, 720)(93, 721)(94, 722)(95, 723)(96, 724)(97, 725)(98, 726)(99, 727)(100, 728)(101, 729)(102, 730)(103, 731)(104, 732)(105, 733)(106, 734)(107, 735)(108, 736)(109, 737)(110, 738)(111, 739)(112, 740)(113, 741)(114, 742)(115, 743)(116, 744)(117, 745)(118, 746)(119, 747)(120, 748)(121, 749)(122, 750)(123, 847)(124, 848)(125, 849)(126, 850)(127, 851)(128, 852)(129, 853)(130, 854)(131, 855)(132, 856)(133, 825)(134, 857)(135, 858)(136, 859)(137, 860)(138, 861)(139, 862)(140, 863)(141, 864)(142, 865)(143, 866)(144, 836)(145, 867)(146, 868)(147, 869)(148, 870)(149, 871)(150, 872)(151, 873)(152, 874)(153, 875)(154, 876)(155, 877)(156, 878)(157, 879)(158, 880)(159, 881)(160, 882)(161, 883)(162, 884)(163, 885)(164, 886)(165, 793)(166, 887)(167, 888)(168, 889)(169, 890)(170, 891)(171, 892)(172, 893)(173, 894)(174, 895)(175, 896)(176, 804)(177, 897)(178, 898)(179, 899)(180, 900)(181, 901)(182, 902)(183, 903)(184, 904)(185, 905)(186, 906)(187, 783)(188, 784)(189, 785)(190, 786)(191, 787)(192, 788)(193, 789)(194, 790)(195, 791)(196, 792)(197, 794)(198, 795)(199, 796)(200, 797)(201, 798)(202, 799)(203, 800)(204, 801)(205, 802)(206, 803)(207, 805)(208, 806)(209, 807)(210, 808)(211, 809)(212, 810)(213, 811)(214, 812)(215, 813)(216, 814)(217, 815)(218, 816)(219, 817)(220, 818)(221, 819)(222, 820)(223, 821)(224, 822)(225, 823)(226, 824)(227, 826)(228, 827)(229, 828)(230, 829)(231, 830)(232, 831)(233, 832)(234, 833)(235, 834)(236, 835)(237, 837)(238, 838)(239, 839)(240, 840)(241, 841)(242, 842)(243, 843)(244, 844)(245, 845)(246, 846)(247, 1081)(248, 1135)(249, 1137)(250, 1139)(251, 1024)(252, 1141)(253, 1142)(254, 1133)(255, 993)(256, 1144)(257, 1145)(258, 1147)(259, 1064)(260, 1060)(261, 971)(262, 1085)(263, 1150)(264, 1015)(265, 1152)(266, 1036)(267, 1148)(268, 968)(269, 1155)(270, 1156)(271, 1113)(272, 1158)(273, 1160)(274, 935)(275, 934)(276, 1091)(277, 1164)(278, 1105)(279, 1119)(280, 1051)(281, 1167)(282, 1169)(283, 1162)(284, 996)(285, 1072)(286, 1172)(287, 1140)(288, 1023)(289, 966)(290, 1095)(291, 1174)(292, 1043)(293, 1176)(294, 1082)(295, 1130)(296, 963)(297, 1178)(298, 1179)(299, 1180)(300, 1182)(301, 1102)(302, 1185)(303, 956)(304, 1126)(305, 1187)(306, 949)(307, 1188)(308, 928)(309, 1191)(310, 1193)(311, 921)(312, 1195)(313, 1196)(314, 1106)(315, 1197)(316, 1198)(317, 1200)(318, 1136)(319, 1203)(320, 1204)(321, 1131)(322, 1209)(323, 1202)(324, 1212)(325, 1215)(326, 1175)(327, 1096)(328, 1163)(329, 1199)(330, 1225)(331, 1228)(332, 1165)(333, 915)(334, 1230)(335, 1062)(336, 944)(337, 1231)(338, 1232)(339, 1233)(340, 1181)(341, 1234)(342, 1071)(343, 1040)(344, 1061)(345, 1201)(346, 1241)(347, 1244)(348, 1151)(349, 1086)(350, 1134)(351, 1192)(352, 1251)(353, 1254)(354, 1053)(355, 924)(356, 1042)(357, 1259)(358, 1261)(359, 1112)(360, 1184)(361, 1080)(362, 1190)(363, 948)(364, 911)(365, 1217)(366, 1266)(367, 1075)(368, 1269)(369, 1235)(370, 1270)(371, 1157)(372, 1111)(373, 1205)(374, 1168)(375, 1058)(376, 926)(377, 1159)(378, 1275)(379, 1214)(380, 1003)(381, 1276)(382, 1016)(383, 952)(384, 1052)(385, 1100)(386, 1258)(387, 1268)(388, 1077)(389, 1090)(390, 1186)(391, 940)(392, 1044)(393, 1014)(394, 1124)(395, 1279)(396, 1271)(397, 1161)(398, 1035)(399, 1127)(400, 920)(401, 1004)(402, 995)(403, 1070)(404, 919)(405, 1079)(406, 1239)(407, 1273)(408, 1121)(409, 1292)(410, 1063)(411, 1002)(412, 945)(413, 1255)(414, 1289)(415, 1027)(416, 1092)(417, 1048)(418, 1123)(419, 1065)(420, 1021)(421, 907)(422, 954)(423, 1183)(424, 1117)(425, 922)(426, 1009)(427, 1298)(428, 1109)(429, 1118)(430, 1049)(431, 936)(432, 1076)(433, 1295)(434, 1208)(435, 950)(436, 987)(437, 1101)(438, 1223)(439, 1301)(440, 1045)(441, 1097)(442, 961)(443, 1286)(444, 1243)(445, 938)(446, 974)(447, 1283)(448, 1296)(449, 1088)(450, 1305)(451, 1032)(452, 1019)(453, 931)(454, 1284)(455, 1299)(456, 1194)(457, 1084)(458, 1089)(459, 939)(460, 1307)(461, 1068)(462, 1274)(463, 1078)(464, 1054)(465, 1306)(466, 964)(467, 1059)(468, 1297)(469, 1221)(470, 955)(471, 981)(472, 1166)(473, 914)(474, 1010)(475, 908)(476, 978)(477, 909)(478, 1149)(479, 910)(480, 947)(481, 912)(482, 913)(483, 1248)(484, 916)(485, 917)(486, 1207)(487, 918)(488, 927)(489, 1138)(490, 923)(491, 1008)(492, 925)(493, 1229)(494, 1310)(495, 929)(496, 930)(497, 1031)(498, 932)(499, 1037)(500, 933)(501, 1057)(502, 943)(503, 988)(504, 937)(505, 992)(506, 1132)(507, 941)(508, 1034)(509, 942)(510, 1222)(511, 1213)(512, 946)(513, 1290)(514, 951)(515, 986)(516, 953)(517, 1245)(518, 957)(519, 958)(520, 959)(521, 1000)(522, 960)(523, 1083)(524, 1020)(525, 962)(526, 1050)(527, 965)(528, 967)(529, 1300)(530, 1022)(531, 969)(532, 1011)(533, 970)(534, 1116)(535, 972)(536, 973)(537, 975)(538, 976)(539, 989)(540, 977)(541, 1005)(542, 983)(543, 979)(544, 980)(545, 1033)(546, 1287)(547, 1146)(548, 1094)(549, 982)(550, 1238)(551, 1263)(552, 984)(553, 1171)(554, 1039)(555, 985)(556, 1247)(557, 1025)(558, 1293)(559, 1304)(560, 1303)(561, 1129)(562, 1170)(563, 1098)(564, 1249)(565, 990)(566, 1309)(567, 1308)(568, 991)(569, 1153)(570, 994)(571, 997)(572, 998)(573, 999)(574, 1001)(575, 1029)(576, 1291)(577, 1315)(578, 1210)(579, 1066)(580, 1250)(581, 1006)(582, 1313)(583, 1104)(584, 1007)(585, 1177)(586, 1312)(587, 1216)(588, 1143)(589, 1224)(590, 1240)(591, 1012)(592, 1288)(593, 1302)(594, 1013)(595, 1073)(596, 1282)(597, 1319)(598, 1046)(599, 1017)(600, 1317)(601, 1018)(602, 1311)(603, 1211)(604, 1277)(605, 1294)(606, 1026)(607, 1272)(608, 1047)(609, 1028)(610, 1030)(611, 1056)(612, 1267)(613, 1067)(614, 1122)(615, 1038)(616, 1041)(617, 1264)(618, 1320)(619, 1055)(620, 1318)(621, 1314)(622, 1256)(623, 1107)(624, 1114)(625, 1316)(626, 1103)(627, 1206)(628, 1252)(629, 1074)(630, 1173)(631, 1236)(632, 1069)(633, 1218)(634, 1265)(635, 1093)(636, 1108)(637, 1128)(638, 1087)(639, 1115)(640, 1189)(641, 1099)(642, 1253)(643, 1220)(644, 1219)(645, 1110)(646, 1125)(647, 1120)(648, 1227)(649, 1226)(650, 1154)(651, 1262)(652, 1246)(653, 1242)(654, 1281)(655, 1237)(656, 1285)(657, 1260)(658, 1280)(659, 1257)(660, 1278)
	local type(s) :: { ( 2, 11, 2, 11, 2, 11 ) }
Outer automorphisms :: reflexible
Dual of E26.1534
Transitivity :: ET+ VT+ AT
Graph::
	v = 220 e = 660 f = 390
	degree seq :: [ 6^220 ]

E26.1536 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 11})
Quotient :: loop
Aut^+ = $<660, 13>$ (small group id <660, 13>)
Aut   = $<1320, 133>$ (small group id <1320, 133>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (T2 * T1)^2, (F * T1)^2, T2^11, (T2^2 * T1^-1)^5, (T2^3 * T1^-1 * T2^-3 * T1)^2, T2^3 * T1^-1 * T2^3 * T1^-1 * T2^-2 * T1 * T2^-3 * T1 * T2^-2 * T1^-1, T2^2 * T1^-1 * T2^4 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-1 * T2^2 * T1^-1 * T2^2, T2 * T1^-1 * T2^-3 * T1 * T2^-2 * T1 * T2^2 * T1^-1 * T2^-3 * T1 * T2^-3 * T1^-1, (T2^3 * T1^-1)^5, T2^2 * T1^-1 * T2^-2 * T1 * T2^3 * T1^-1 * T2^2 * T1^-1 * T2^-3 * T1^-1 * T2^2 * T1^-1 ]
Map::
	R = (1, 661, 3, 663, 9, 669, 19, 679, 37, 697, 67, 727, 86, 746, 48, 708, 26, 686, 13, 673, 5, 665)(2, 662, 6, 666, 14, 674, 27, 687, 50, 710, 89, 749, 102, 762, 58, 718, 32, 692, 16, 676, 7, 667)(4, 664, 11, 671, 22, 682, 41, 701, 74, 734, 128, 788, 108, 768, 62, 722, 34, 694, 17, 677, 8, 668)(10, 670, 21, 681, 40, 700, 71, 731, 123, 783, 207, 867, 189, 849, 112, 772, 64, 724, 35, 695, 18, 678)(12, 672, 23, 683, 43, 703, 77, 737, 133, 793, 222, 882, 231, 891, 139, 799, 80, 740, 44, 704, 24, 684)(15, 675, 29, 689, 53, 713, 93, 753, 159, 819, 264, 924, 273, 933, 165, 825, 96, 756, 54, 714, 30, 690)(20, 680, 39, 699, 70, 730, 120, 780, 202, 862, 330, 990, 314, 974, 193, 853, 114, 774, 65, 725, 36, 696)(25, 685, 45, 705, 81, 741, 140, 800, 233, 893, 369, 1029, 377, 1037, 239, 899, 143, 803, 82, 742, 46, 706)(28, 688, 52, 712, 92, 752, 156, 816, 259, 919, 405, 1065, 393, 1053, 250, 910, 150, 810, 87, 747, 49, 709)(31, 691, 55, 715, 97, 757, 166, 826, 275, 935, 423, 1083, 430, 1090, 280, 940, 169, 829, 98, 758, 56, 716)(33, 693, 59, 719, 103, 763, 175, 835, 289, 949, 443, 1103, 450, 1110, 294, 954, 178, 838, 104, 764, 60, 720)(38, 698, 69, 729, 119, 779, 199, 859, 325, 985, 484, 1144, 475, 1135, 318, 978, 195, 855, 115, 775, 66, 726)(42, 702, 76, 736, 131, 791, 218, 878, 351, 1011, 509, 1169, 474, 1134, 317, 977, 212, 872, 126, 786, 73, 733)(47, 707, 83, 743, 144, 804, 240, 900, 276, 936, 424, 1084, 537, 1197, 383, 1043, 243, 903, 145, 805, 84, 744)(51, 711, 91, 751, 155, 815, 256, 916, 401, 1061, 470, 1130, 312, 972, 192, 852, 252, 912, 151, 811, 88, 748)(57, 717, 99, 759, 170, 830, 281, 941, 290, 950, 444, 1104, 578, 1238, 436, 1096, 284, 944, 171, 831, 100, 760)(61, 721, 105, 765, 179, 839, 295, 955, 234, 894, 371, 1031, 530, 1190, 454, 1114, 298, 958, 180, 840, 106, 766)(63, 723, 109, 769, 184, 844, 302, 962, 461, 1121, 596, 1256, 555, 1215, 406, 1066, 304, 964, 185, 845, 110, 770)(68, 728, 118, 778, 198, 858, 322, 982, 408, 1068, 557, 1217, 611, 1271, 479, 1139, 320, 980, 196, 856, 116, 776)(72, 732, 125, 785, 210, 870, 340, 1000, 429, 1089, 573, 1233, 610, 1270, 478, 1138, 334, 994, 205, 865, 122, 782)(75, 735, 130, 790, 217, 877, 348, 1008, 486, 1146, 545, 1205, 391, 1051, 249, 909, 344, 1004, 213, 873, 127, 787)(78, 738, 135, 795, 225, 885, 359, 1019, 449, 1109, 587, 1247, 628, 1288, 514, 1174, 354, 1014, 220, 880, 132, 792)(79, 739, 136, 796, 226, 886, 360, 1020, 520, 1180, 632, 1292, 625, 1285, 510, 1170, 362, 1022, 227, 887, 137, 797)(85, 745, 146, 806, 244, 904, 384, 1044, 521, 1181, 633, 1293, 563, 1223, 416, 1076, 387, 1047, 245, 905, 147, 807)(90, 750, 154, 814, 255, 915, 398, 1058, 333, 993, 492, 1152, 615, 1275, 513, 1173, 396, 1056, 253, 913, 152, 812)(94, 754, 161, 821, 267, 927, 414, 1074, 376, 1036, 532, 1192, 640, 1300, 559, 1219, 409, 1069, 262, 922, 158, 818)(95, 755, 162, 822, 268, 928, 415, 1075, 564, 1224, 612, 1272, 489, 1149, 331, 991, 417, 1077, 269, 929, 163, 823)(101, 761, 172, 832, 285, 945, 437, 1097, 565, 1225, 595, 1255, 460, 1120, 303, 963, 440, 1100, 286, 946, 173, 833)(107, 767, 181, 841, 299, 959, 455, 1115, 462, 1122, 597, 1257, 519, 1179, 361, 1021, 458, 1118, 300, 960, 182, 842)(111, 771, 186, 846, 305, 965, 221, 881, 134, 794, 224, 884, 358, 1018, 517, 1177, 465, 1125, 306, 966, 187, 847)(113, 773, 190, 850, 310, 970, 468, 1128, 602, 1262, 560, 1220, 410, 1070, 265, 925, 412, 1072, 311, 971, 191, 851)(117, 777, 197, 857, 321, 981, 480, 1140, 583, 1243, 643, 1303, 544, 1204, 542, 1202, 388, 1048, 246, 906, 148, 808)(121, 781, 204, 864, 168, 828, 278, 938, 426, 1086, 572, 1232, 551, 1211, 541, 1201, 487, 1147, 328, 988, 201, 861)(124, 784, 209, 869, 339, 999, 495, 1155, 566, 1226, 418, 1078, 271, 931, 164, 824, 270, 930, 335, 995, 206, 866)(129, 789, 216, 876, 347, 1007, 504, 1164, 353, 1013, 512, 1172, 627, 1287, 558, 1218, 502, 1162, 345, 1005, 214, 874)(138, 798, 228, 888, 363, 1023, 263, 923, 160, 820, 266, 926, 413, 1073, 562, 1222, 523, 1183, 364, 1024, 229, 889)(141, 801, 235, 895, 372, 1032, 420, 1080, 272, 932, 419, 1079, 567, 1227, 637, 1297, 527, 1187, 368, 1028, 232, 892)(142, 802, 236, 896, 373, 1033, 531, 1191, 481, 1141, 593, 1253, 603, 1263, 507, 1167, 350, 1010, 219, 879, 237, 897)(149, 809, 247, 907, 389, 1049, 543, 1203, 617, 1277, 493, 1153, 336, 996, 208, 868, 338, 998, 390, 1050, 248, 908)(153, 813, 254, 914, 397, 1057, 550, 1210, 526, 1186, 636, 1296, 608, 1268, 582, 1242, 441, 1101, 287, 947, 174, 834)(157, 817, 261, 921, 177, 837, 292, 952, 446, 1106, 586, 1246, 623, 1283, 581, 1241, 554, 1214, 403, 1063, 258, 918)(167, 827, 277, 937, 425, 1085, 308, 968, 188, 848, 307, 967, 466, 1126, 598, 1258, 570, 1230, 422, 1082, 274, 934)(176, 836, 291, 951, 445, 1105, 366, 1026, 230, 890, 365, 1025, 524, 1184, 634, 1294, 584, 1244, 442, 1102, 288, 948)(183, 843, 215, 875, 346, 1006, 503, 1163, 622, 1282, 569, 1229, 601, 1261, 469, 1129, 594, 1254, 459, 1119, 301, 961)(194, 854, 315, 975, 473, 1133, 606, 1266, 656, 1316, 651, 1311, 575, 1235, 431, 1091, 282, 942, 432, 1092, 316, 976)(200, 860, 327, 987, 297, 957, 452, 1112, 589, 1249, 518, 1178, 505, 1165, 386, 1046, 540, 1200, 483, 1143, 324, 984)(203, 863, 332, 992, 491, 1151, 614, 1274, 536, 1196, 382, 1042, 448, 1108, 293, 953, 447, 1107, 488, 1148, 329, 989)(211, 871, 341, 1001, 498, 1158, 619, 1279, 630, 1290, 515, 1175, 355, 1015, 223, 883, 357, 1017, 499, 1159, 342, 1002)(238, 898, 374, 1034, 463, 1123, 404, 1064, 260, 920, 407, 1067, 326, 986, 485, 1145, 577, 1237, 435, 1095, 375, 1035)(241, 901, 379, 1039, 500, 1160, 343, 1003, 392, 1052, 546, 1206, 644, 1304, 660, 1320, 641, 1301, 534, 1194, 378, 1038)(242, 902, 380, 1040, 535, 1195, 482, 1142, 323, 983, 439, 1099, 464, 1124, 552, 1212, 400, 1060, 257, 917, 381, 1041)(251, 911, 313, 973, 471, 1131, 604, 1264, 655, 1315, 638, 1298, 528, 1188, 370, 1030, 296, 956, 451, 1111, 394, 1054)(279, 939, 427, 1087, 497, 1157, 508, 1168, 352, 1012, 511, 1171, 402, 1062, 553, 1213, 590, 1250, 453, 1113, 428, 1088)(283, 943, 433, 1093, 576, 1236, 496, 1156, 399, 1059, 457, 1117, 522, 1182, 624, 1284, 506, 1166, 349, 1009, 434, 1094)(309, 969, 337, 997, 494, 1154, 618, 1278, 533, 1193, 529, 1189, 639, 1299, 607, 1267, 626, 1286, 600, 1260, 467, 1127)(319, 979, 476, 1136, 609, 1269, 629, 1289, 659, 1319, 650, 1310, 653, 1313, 591, 1251, 456, 1116, 592, 1252, 477, 1137)(356, 1016, 516, 1176, 631, 1291, 574, 1234, 571, 1231, 605, 1265, 472, 1132, 490, 1150, 613, 1273, 525, 1185, 367, 1027)(385, 1045, 539, 1199, 549, 1209, 395, 1055, 548, 1208, 646, 1306, 648, 1308, 654, 1314, 599, 1259, 642, 1302, 538, 1198)(411, 1071, 561, 1221, 649, 1309, 588, 1248, 585, 1245, 645, 1305, 547, 1207, 556, 1216, 647, 1307, 568, 1228, 421, 1081)(438, 1098, 580, 1240, 621, 1281, 501, 1161, 620, 1280, 658, 1318, 616, 1276, 657, 1317, 635, 1295, 652, 1312, 579, 1239)
	L = (1, 662)(2, 664)(3, 668)(4, 661)(5, 672)(6, 665)(7, 675)(8, 670)(9, 678)(10, 663)(11, 667)(12, 666)(13, 685)(14, 684)(15, 671)(16, 691)(17, 693)(18, 680)(19, 696)(20, 669)(21, 677)(22, 690)(23, 673)(24, 688)(25, 683)(26, 707)(27, 709)(28, 674)(29, 676)(30, 702)(31, 689)(32, 717)(33, 681)(34, 721)(35, 723)(36, 698)(37, 726)(38, 679)(39, 695)(40, 720)(41, 733)(42, 682)(43, 706)(44, 739)(45, 686)(46, 738)(47, 705)(48, 745)(49, 711)(50, 748)(51, 687)(52, 704)(53, 716)(54, 755)(55, 692)(56, 754)(57, 715)(58, 761)(59, 694)(60, 732)(61, 719)(62, 767)(63, 699)(64, 771)(65, 773)(66, 728)(67, 776)(68, 697)(69, 725)(70, 770)(71, 782)(72, 700)(73, 735)(74, 787)(75, 701)(76, 714)(77, 792)(78, 703)(79, 712)(80, 798)(81, 744)(82, 802)(83, 708)(84, 801)(85, 743)(86, 808)(87, 809)(88, 750)(89, 812)(90, 710)(91, 747)(92, 797)(93, 818)(94, 713)(95, 736)(96, 824)(97, 760)(98, 828)(99, 718)(100, 827)(101, 759)(102, 834)(103, 766)(104, 837)(105, 722)(106, 836)(107, 765)(108, 843)(109, 724)(110, 781)(111, 769)(112, 848)(113, 729)(114, 852)(115, 854)(116, 777)(117, 727)(118, 775)(119, 851)(120, 861)(121, 730)(122, 784)(123, 866)(124, 731)(125, 764)(126, 871)(127, 789)(128, 874)(129, 734)(130, 786)(131, 823)(132, 794)(133, 881)(134, 737)(135, 742)(136, 740)(137, 817)(138, 796)(139, 890)(140, 892)(141, 741)(142, 795)(143, 898)(144, 807)(145, 902)(146, 746)(147, 901)(148, 806)(149, 751)(150, 909)(151, 911)(152, 813)(153, 749)(154, 811)(155, 908)(156, 918)(157, 752)(158, 820)(159, 923)(160, 753)(161, 758)(162, 756)(163, 879)(164, 822)(165, 932)(166, 934)(167, 757)(168, 821)(169, 939)(170, 833)(171, 943)(172, 762)(173, 942)(174, 832)(175, 948)(176, 763)(177, 785)(178, 953)(179, 842)(180, 957)(181, 768)(182, 956)(183, 841)(184, 847)(185, 927)(186, 772)(187, 963)(188, 846)(189, 969)(190, 774)(191, 860)(192, 850)(193, 973)(194, 778)(195, 977)(196, 979)(197, 856)(198, 976)(199, 984)(200, 779)(201, 863)(202, 989)(203, 780)(204, 845)(205, 993)(206, 868)(207, 996)(208, 783)(209, 865)(210, 921)(211, 790)(212, 978)(213, 1003)(214, 875)(215, 788)(216, 873)(217, 1002)(218, 1010)(219, 791)(220, 1013)(221, 883)(222, 1015)(223, 793)(224, 880)(225, 897)(226, 889)(227, 870)(228, 799)(229, 1021)(230, 888)(231, 1027)(232, 894)(233, 955)(234, 800)(235, 805)(236, 803)(237, 929)(238, 896)(239, 1036)(240, 1038)(241, 804)(242, 895)(243, 1042)(244, 906)(245, 1046)(246, 1045)(247, 810)(248, 917)(249, 907)(250, 1052)(251, 814)(252, 853)(253, 1055)(254, 913)(255, 1054)(256, 1060)(257, 815)(258, 920)(259, 1064)(260, 816)(261, 887)(262, 1068)(263, 925)(264, 1070)(265, 819)(266, 922)(267, 864)(268, 931)(269, 885)(270, 825)(271, 1076)(272, 930)(273, 1081)(274, 936)(275, 900)(276, 826)(277, 831)(278, 829)(279, 938)(280, 1089)(281, 1091)(282, 830)(283, 937)(284, 1095)(285, 947)(286, 1099)(287, 1098)(288, 950)(289, 941)(290, 835)(291, 840)(292, 838)(293, 952)(294, 1109)(295, 1030)(296, 839)(297, 951)(298, 1113)(299, 961)(300, 1117)(301, 1116)(302, 1120)(303, 844)(304, 1123)(305, 968)(306, 1124)(307, 849)(308, 1017)(309, 967)(310, 972)(311, 1105)(312, 1129)(313, 912)(314, 1132)(315, 855)(316, 983)(317, 975)(318, 1001)(319, 857)(320, 1138)(321, 1137)(322, 1142)(323, 858)(324, 986)(325, 1067)(326, 859)(327, 971)(328, 1146)(329, 991)(330, 1149)(331, 862)(332, 988)(333, 869)(334, 1139)(335, 1080)(336, 997)(337, 867)(338, 995)(339, 1058)(340, 1022)(341, 872)(342, 1009)(343, 876)(344, 910)(345, 1161)(346, 1005)(347, 1160)(348, 1166)(349, 877)(350, 1012)(351, 1168)(352, 878)(353, 884)(354, 1173)(355, 1016)(356, 882)(357, 965)(358, 1164)(359, 1077)(360, 1179)(361, 886)(362, 1157)(363, 1026)(364, 1182)(365, 891)(366, 1072)(367, 1025)(368, 1186)(369, 1188)(370, 893)(371, 1028)(372, 1041)(373, 1035)(374, 899)(375, 1096)(376, 1034)(377, 1193)(378, 935)(379, 905)(380, 903)(381, 1050)(382, 1040)(383, 1106)(384, 1198)(385, 904)(386, 1039)(387, 1078)(388, 1201)(389, 1051)(390, 1032)(391, 1204)(392, 1004)(393, 1207)(394, 1059)(395, 914)(396, 1174)(397, 1209)(398, 1156)(399, 915)(400, 1062)(401, 1171)(402, 916)(403, 985)(404, 1066)(405, 1215)(406, 919)(407, 1063)(408, 926)(409, 1218)(410, 1071)(411, 924)(412, 1023)(413, 982)(414, 964)(415, 1223)(416, 928)(417, 1148)(418, 1200)(419, 933)(420, 998)(421, 1079)(422, 1229)(423, 1194)(424, 1082)(425, 1094)(426, 1088)(427, 940)(428, 1114)(429, 1087)(430, 1234)(431, 949)(432, 946)(433, 944)(434, 1159)(435, 1093)(436, 1033)(437, 1239)(438, 945)(439, 1092)(440, 966)(441, 1241)(442, 1243)(443, 1235)(444, 1102)(445, 987)(446, 1108)(447, 954)(448, 1043)(449, 1107)(450, 1248)(451, 960)(452, 958)(453, 1112)(454, 1086)(455, 1251)(456, 959)(457, 1111)(458, 1024)(459, 1253)(460, 1122)(461, 1115)(462, 962)(463, 1074)(464, 1100)(465, 1213)(466, 1127)(467, 1259)(468, 1261)(469, 970)(470, 1263)(471, 974)(472, 1131)(473, 1134)(474, 1267)(475, 1268)(476, 980)(477, 1141)(478, 1136)(479, 1152)(480, 1191)(481, 981)(482, 1073)(483, 1226)(484, 1214)(485, 1143)(486, 992)(487, 1202)(488, 1019)(489, 1150)(490, 990)(491, 1008)(492, 994)(493, 1276)(494, 1153)(495, 1236)(496, 999)(497, 1000)(498, 1135)(499, 1085)(500, 1165)(501, 1006)(502, 1219)(503, 1281)(504, 1178)(505, 1007)(506, 1151)(507, 1061)(508, 1170)(509, 1285)(510, 1011)(511, 1167)(512, 1014)(513, 1172)(514, 1208)(515, 1289)(516, 1175)(517, 1249)(518, 1018)(519, 1181)(520, 1044)(521, 1020)(522, 1118)(523, 1274)(524, 1185)(525, 1295)(526, 1031)(527, 1279)(528, 1189)(529, 1029)(530, 1210)(531, 1238)(532, 1037)(533, 1192)(534, 1231)(535, 1196)(536, 1222)(537, 1282)(538, 1180)(539, 1048)(540, 1047)(541, 1199)(542, 1205)(543, 1303)(544, 1049)(545, 1147)(546, 1053)(547, 1206)(548, 1056)(549, 1211)(550, 1232)(551, 1057)(552, 1125)(553, 1212)(554, 1242)(555, 1216)(556, 1065)(557, 1069)(558, 1217)(559, 1280)(560, 1308)(561, 1220)(562, 1195)(563, 1225)(564, 1097)(565, 1075)(566, 1145)(567, 1228)(568, 1310)(569, 1084)(570, 1128)(571, 1083)(572, 1190)(573, 1090)(574, 1233)(575, 1245)(576, 1237)(577, 1155)(578, 1140)(579, 1224)(580, 1101)(581, 1240)(582, 1144)(583, 1104)(584, 1203)(585, 1103)(586, 1197)(587, 1110)(588, 1247)(589, 1250)(590, 1177)(591, 1121)(592, 1119)(593, 1252)(594, 1130)(595, 1293)(596, 1313)(597, 1255)(598, 1314)(599, 1126)(600, 1292)(601, 1230)(602, 1258)(603, 1254)(604, 1265)(605, 1301)(606, 1299)(607, 1133)(608, 1158)(609, 1270)(610, 1291)(611, 1287)(612, 1312)(613, 1272)(614, 1284)(615, 1271)(616, 1154)(617, 1294)(618, 1318)(619, 1296)(620, 1162)(621, 1283)(622, 1246)(623, 1163)(624, 1183)(625, 1286)(626, 1169)(627, 1275)(628, 1309)(629, 1176)(630, 1297)(631, 1269)(632, 1302)(633, 1257)(634, 1317)(635, 1184)(636, 1187)(637, 1319)(638, 1266)(639, 1298)(640, 1278)(641, 1264)(642, 1260)(643, 1244)(644, 1305)(645, 1311)(646, 1288)(647, 1256)(648, 1221)(649, 1306)(650, 1227)(651, 1304)(652, 1273)(653, 1307)(654, 1262)(655, 1320)(656, 1315)(657, 1277)(658, 1300)(659, 1290)(660, 1316)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1532
Transitivity :: ET+ VT+ AT
Graph::
	v = 60 e = 660 f = 550
	degree seq :: [ 22^60 ]

E26.1537 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 11})
Quotient :: loop
Aut^+ = $<660, 13>$ (small group id <660, 13>)
Aut   = $<1320, 133>$ (small group id <1320, 133>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1 * T2)^3, T1^11, (T2 * T1^3 * T2 * T1^-3)^2, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1^-3 * T2 * T1^-2, T2 * T1^2 * T2 * T1^-3 * T2 * T1^-2 * T2 * T1^4 * T2 * T1^5, T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-3 * T2 * T1 * T2 * T1^-4 * T2 * T1^-2 * T2 * T1, (T2 * T1^2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^-1)^2, (T1^-1 * T2 * T1^5 * T2 * T1^-3)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 661, 3, 663)(2, 662, 6, 666)(4, 664, 9, 669)(5, 665, 12, 672)(7, 667, 16, 676)(8, 668, 13, 673)(10, 670, 19, 679)(11, 671, 22, 682)(14, 674, 23, 683)(15, 675, 28, 688)(17, 677, 30, 690)(18, 678, 33, 693)(20, 680, 35, 695)(21, 681, 38, 698)(24, 684, 39, 699)(25, 685, 44, 704)(26, 686, 45, 705)(27, 687, 48, 708)(29, 689, 49, 709)(31, 691, 53, 713)(32, 692, 56, 716)(34, 694, 59, 719)(36, 696, 61, 721)(37, 697, 63, 723)(40, 700, 64, 724)(41, 701, 69, 729)(42, 702, 70, 730)(43, 703, 73, 733)(46, 706, 76, 736)(47, 707, 79, 739)(50, 710, 80, 740)(51, 711, 84, 744)(52, 712, 87, 747)(54, 714, 89, 749)(55, 715, 92, 752)(57, 717, 93, 753)(58, 718, 97, 757)(60, 720, 100, 760)(62, 722, 102, 762)(65, 725, 103, 763)(66, 726, 108, 768)(67, 727, 109, 769)(68, 728, 112, 772)(71, 731, 115, 775)(72, 732, 118, 778)(74, 734, 119, 779)(75, 735, 123, 783)(77, 737, 125, 785)(78, 738, 127, 787)(81, 741, 128, 788)(82, 742, 133, 793)(83, 743, 134, 794)(85, 745, 137, 797)(86, 746, 140, 800)(88, 748, 143, 803)(90, 750, 145, 805)(91, 751, 147, 807)(94, 754, 148, 808)(95, 755, 152, 812)(96, 756, 155, 815)(98, 758, 156, 816)(99, 759, 160, 820)(101, 761, 163, 823)(104, 764, 164, 824)(105, 765, 168, 828)(106, 766, 169, 829)(107, 767, 172, 832)(110, 770, 175, 835)(111, 771, 178, 838)(113, 773, 179, 839)(114, 774, 183, 843)(116, 776, 185, 845)(117, 777, 187, 847)(120, 780, 188, 848)(121, 781, 192, 852)(122, 782, 195, 855)(124, 784, 198, 858)(126, 786, 200, 860)(129, 789, 201, 861)(130, 790, 206, 866)(131, 791, 207, 867)(132, 792, 209, 869)(135, 795, 212, 872)(136, 796, 215, 875)(138, 798, 217, 877)(139, 799, 219, 879)(141, 801, 220, 880)(142, 802, 224, 884)(144, 804, 227, 887)(146, 806, 229, 889)(149, 809, 230, 890)(150, 810, 234, 894)(151, 811, 235, 895)(153, 813, 238, 898)(154, 814, 241, 901)(157, 817, 242, 902)(158, 818, 245, 905)(159, 819, 223, 883)(161, 821, 248, 908)(162, 822, 252, 912)(165, 825, 256, 916)(166, 826, 257, 917)(167, 827, 260, 920)(170, 830, 263, 923)(171, 831, 266, 926)(173, 833, 267, 927)(174, 834, 271, 931)(176, 836, 272, 932)(177, 837, 274, 934)(180, 840, 275, 935)(181, 841, 279, 939)(182, 842, 282, 942)(184, 844, 284, 944)(186, 846, 286, 946)(189, 849, 287, 947)(190, 850, 292, 952)(191, 851, 293, 953)(193, 853, 295, 955)(194, 854, 298, 958)(196, 856, 299, 959)(197, 857, 302, 962)(199, 859, 305, 965)(202, 862, 228, 888)(203, 863, 310, 970)(204, 864, 311, 971)(205, 865, 314, 974)(208, 868, 317, 977)(210, 870, 318, 978)(211, 871, 322, 982)(213, 873, 323, 983)(214, 874, 326, 986)(216, 876, 329, 989)(218, 878, 332, 992)(221, 881, 333, 993)(222, 882, 336, 996)(225, 885, 339, 999)(226, 886, 342, 1002)(231, 891, 345, 1005)(232, 892, 350, 1010)(233, 893, 352, 1012)(236, 896, 312, 972)(237, 897, 357, 1017)(239, 899, 359, 1019)(240, 900, 360, 1020)(243, 903, 364, 1024)(244, 904, 365, 1025)(246, 906, 368, 1028)(247, 907, 340, 1000)(249, 909, 338, 998)(250, 910, 373, 1033)(251, 911, 325, 985)(253, 913, 376, 1036)(254, 914, 380, 1040)(255, 915, 382, 1042)(258, 918, 385, 1045)(259, 919, 388, 1048)(261, 921, 389, 1049)(262, 922, 393, 1053)(264, 924, 394, 1054)(265, 925, 396, 1056)(268, 928, 397, 1057)(269, 929, 401, 1061)(270, 930, 404, 1064)(273, 933, 407, 1067)(276, 936, 408, 1068)(277, 937, 413, 1073)(278, 938, 414, 1074)(280, 940, 416, 1076)(281, 941, 419, 1079)(283, 943, 420, 1080)(285, 945, 425, 1085)(288, 948, 306, 966)(289, 949, 430, 1090)(290, 950, 431, 1091)(291, 951, 433, 1093)(294, 954, 436, 1096)(296, 956, 437, 1097)(297, 957, 439, 1099)(300, 960, 440, 1100)(301, 961, 443, 1103)(303, 963, 445, 1105)(304, 964, 447, 1107)(307, 967, 451, 1111)(308, 968, 452, 1112)(309, 969, 455, 1115)(313, 973, 460, 1120)(315, 975, 461, 1121)(316, 976, 464, 1124)(319, 979, 465, 1125)(320, 980, 412, 1072)(321, 981, 470, 1130)(324, 984, 473, 1133)(327, 987, 475, 1135)(328, 988, 478, 1138)(330, 990, 346, 1006)(331, 991, 481, 1141)(334, 994, 399, 1059)(335, 995, 484, 1144)(337, 997, 487, 1147)(341, 1001, 492, 1152)(343, 1003, 494, 1154)(344, 1004, 497, 1157)(347, 1007, 423, 1083)(348, 1008, 501, 1161)(349, 1009, 504, 1164)(351, 1011, 507, 1167)(353, 1013, 434, 1094)(354, 1014, 458, 1118)(355, 1015, 457, 1117)(356, 1016, 512, 1172)(358, 1018, 514, 1174)(361, 1021, 516, 1176)(362, 1022, 520, 1180)(363, 1023, 463, 1123)(366, 1026, 502, 1162)(367, 1027, 525, 1185)(369, 1029, 527, 1187)(370, 1030, 528, 1188)(371, 1031, 530, 1190)(372, 1032, 531, 1191)(374, 1034, 534, 1194)(375, 1035, 476, 1136)(377, 1037, 474, 1134)(378, 1038, 539, 1199)(379, 1039, 511, 1171)(381, 1041, 483, 1143)(383, 1043, 543, 1203)(384, 1044, 545, 1205)(386, 1046, 546, 1206)(387, 1047, 467, 1127)(390, 1050, 548, 1208)(391, 1051, 479, 1139)(392, 1052, 551, 1211)(395, 1055, 554, 1214)(398, 1058, 508, 1168)(400, 1060, 557, 1217)(402, 1062, 466, 1126)(403, 1063, 559, 1219)(405, 1065, 560, 1220)(406, 1066, 563, 1223)(409, 1069, 426, 1086)(410, 1070, 454, 1114)(411, 1071, 521, 1181)(415, 1075, 526, 1186)(417, 1077, 506, 1166)(418, 1078, 569, 1229)(421, 1081, 570, 1230)(422, 1082, 572, 1232)(424, 1084, 573, 1233)(427, 1087, 529, 1189)(428, 1088, 576, 1236)(429, 1089, 579, 1239)(432, 1092, 581, 1241)(435, 1095, 535, 1195)(438, 1098, 585, 1245)(441, 1101, 549, 1209)(442, 1102, 588, 1248)(444, 1104, 591, 1251)(446, 1106, 592, 1252)(448, 1108, 593, 1253)(449, 1109, 596, 1256)(450, 1110, 597, 1257)(453, 1113, 599, 1259)(456, 1116, 600, 1260)(459, 1119, 603, 1263)(462, 1122, 604, 1264)(468, 1128, 606, 1266)(469, 1129, 589, 1249)(471, 1131, 540, 1200)(472, 1132, 609, 1269)(477, 1137, 612, 1272)(480, 1140, 614, 1274)(482, 1142, 615, 1275)(485, 1145, 577, 1237)(486, 1146, 620, 1280)(488, 1148, 622, 1282)(489, 1149, 623, 1283)(490, 1150, 624, 1284)(491, 1151, 561, 1221)(493, 1153, 513, 1173)(495, 1155, 626, 1286)(496, 1156, 583, 1243)(498, 1158, 544, 1204)(499, 1159, 629, 1289)(500, 1160, 630, 1290)(503, 1163, 632, 1292)(505, 1165, 633, 1293)(509, 1169, 547, 1207)(510, 1170, 634, 1294)(515, 1175, 517, 1177)(518, 1178, 550, 1210)(519, 1179, 619, 1279)(522, 1182, 553, 1213)(523, 1183, 631, 1291)(524, 1184, 617, 1277)(532, 1192, 562, 1222)(533, 1193, 639, 1299)(536, 1196, 571, 1231)(537, 1197, 640, 1300)(538, 1198, 574, 1234)(541, 1201, 587, 1247)(542, 1202, 635, 1295)(552, 1212, 644, 1304)(555, 1215, 564, 1224)(556, 1216, 578, 1238)(558, 1218, 647, 1307)(565, 1225, 648, 1308)(566, 1226, 601, 1261)(567, 1227, 621, 1281)(568, 1228, 610, 1270)(575, 1235, 652, 1312)(580, 1240, 607, 1267)(582, 1242, 605, 1265)(584, 1244, 616, 1276)(586, 1246, 655, 1315)(590, 1250, 656, 1316)(594, 1254, 657, 1317)(595, 1255, 638, 1298)(598, 1258, 658, 1318)(602, 1262, 659, 1319)(608, 1268, 643, 1303)(611, 1271, 651, 1311)(613, 1273, 637, 1297)(618, 1278, 653, 1313)(625, 1285, 636, 1296)(627, 1287, 645, 1305)(628, 1288, 641, 1301)(642, 1302, 649, 1309)(646, 1306, 654, 1314)(650, 1310, 660, 1320)
	L = (1, 662)(2, 665)(3, 667)(4, 661)(5, 671)(6, 673)(7, 675)(8, 663)(9, 678)(10, 664)(11, 681)(12, 683)(13, 685)(14, 666)(15, 687)(16, 669)(17, 668)(18, 692)(19, 694)(20, 670)(21, 697)(22, 699)(23, 701)(24, 672)(25, 703)(26, 674)(27, 707)(28, 709)(29, 676)(30, 712)(31, 677)(32, 715)(33, 679)(34, 718)(35, 720)(36, 680)(37, 722)(38, 724)(39, 726)(40, 682)(41, 728)(42, 684)(43, 732)(44, 690)(45, 735)(46, 686)(47, 738)(48, 740)(49, 742)(50, 688)(51, 689)(52, 746)(53, 748)(54, 691)(55, 751)(56, 753)(57, 693)(58, 756)(59, 695)(60, 759)(61, 761)(62, 696)(63, 763)(64, 765)(65, 698)(66, 767)(67, 700)(68, 771)(69, 705)(70, 774)(71, 702)(72, 777)(73, 779)(74, 704)(75, 782)(76, 784)(77, 706)(78, 750)(79, 788)(80, 790)(81, 708)(82, 792)(83, 710)(84, 796)(85, 711)(86, 799)(87, 713)(88, 802)(89, 804)(90, 714)(91, 806)(92, 808)(93, 810)(94, 716)(95, 717)(96, 814)(97, 816)(98, 719)(99, 819)(100, 721)(101, 822)(102, 824)(103, 825)(104, 723)(105, 827)(106, 725)(107, 831)(108, 730)(109, 834)(110, 727)(111, 837)(112, 839)(113, 729)(114, 842)(115, 844)(116, 731)(117, 786)(118, 848)(119, 850)(120, 733)(121, 734)(122, 854)(123, 736)(124, 857)(125, 859)(126, 737)(127, 861)(128, 863)(129, 739)(130, 865)(131, 741)(132, 868)(133, 744)(134, 871)(135, 743)(136, 874)(137, 876)(138, 745)(139, 878)(140, 880)(141, 747)(142, 883)(143, 749)(144, 886)(145, 888)(146, 798)(147, 890)(148, 892)(149, 752)(150, 893)(151, 754)(152, 897)(153, 755)(154, 900)(155, 902)(156, 903)(157, 757)(158, 758)(159, 907)(160, 908)(161, 760)(162, 911)(163, 762)(164, 914)(165, 915)(166, 764)(167, 919)(168, 769)(169, 922)(170, 766)(171, 925)(172, 927)(173, 768)(174, 930)(175, 791)(176, 770)(177, 846)(178, 935)(179, 937)(180, 772)(181, 773)(182, 941)(183, 775)(184, 809)(185, 945)(186, 776)(187, 947)(188, 949)(189, 778)(190, 951)(191, 780)(192, 954)(193, 781)(194, 957)(195, 959)(196, 783)(197, 815)(198, 785)(199, 964)(200, 966)(201, 967)(202, 787)(203, 969)(204, 789)(205, 973)(206, 794)(207, 932)(208, 976)(209, 978)(210, 793)(211, 981)(212, 950)(213, 795)(214, 985)(215, 797)(216, 988)(217, 990)(218, 991)(219, 993)(220, 994)(221, 800)(222, 801)(223, 998)(224, 999)(225, 803)(226, 958)(227, 805)(228, 1004)(229, 1005)(230, 1007)(231, 807)(232, 1009)(233, 1011)(234, 812)(235, 1014)(236, 811)(237, 1016)(238, 1018)(239, 813)(240, 899)(241, 962)(242, 1022)(243, 1023)(244, 817)(245, 1027)(246, 818)(247, 1030)(248, 1031)(249, 820)(250, 821)(251, 1035)(252, 1036)(253, 823)(254, 1039)(255, 1041)(256, 829)(257, 1044)(258, 826)(259, 1047)(260, 1049)(261, 828)(262, 1052)(263, 851)(264, 830)(265, 933)(266, 1057)(267, 1059)(268, 832)(269, 833)(270, 1063)(271, 835)(272, 1066)(273, 836)(274, 1068)(275, 1070)(276, 838)(277, 1072)(278, 840)(279, 1075)(280, 841)(281, 1078)(282, 1080)(283, 843)(284, 845)(285, 1084)(286, 1086)(287, 1087)(288, 847)(289, 1089)(290, 849)(291, 1092)(292, 852)(293, 1054)(294, 1095)(295, 1071)(296, 853)(297, 1098)(298, 1100)(299, 1101)(300, 855)(301, 856)(302, 1105)(303, 858)(304, 1079)(305, 860)(306, 1109)(307, 1110)(308, 862)(309, 1114)(310, 867)(311, 1117)(312, 864)(313, 1119)(314, 1121)(315, 866)(316, 984)(317, 1125)(318, 1073)(319, 869)(320, 870)(321, 1129)(322, 872)(323, 1132)(324, 873)(325, 1134)(326, 1135)(327, 875)(328, 879)(329, 877)(330, 1140)(331, 956)(332, 1138)(333, 1143)(334, 1061)(335, 881)(336, 1146)(337, 882)(338, 1149)(339, 1150)(340, 884)(341, 885)(342, 1154)(343, 887)(344, 1156)(345, 1158)(346, 889)(347, 1160)(348, 891)(349, 1163)(350, 895)(351, 1166)(352, 1094)(353, 894)(354, 1169)(355, 896)(356, 1171)(357, 898)(358, 1126)(359, 1175)(360, 1176)(361, 901)(362, 1179)(363, 1181)(364, 905)(365, 1182)(366, 904)(367, 1184)(368, 1186)(369, 906)(370, 1029)(371, 1189)(372, 909)(373, 1193)(374, 910)(375, 1196)(376, 1197)(377, 912)(378, 913)(379, 1201)(380, 917)(381, 1144)(382, 1203)(383, 916)(384, 1204)(385, 938)(386, 918)(387, 1055)(388, 1208)(389, 1209)(390, 920)(391, 921)(392, 1210)(393, 923)(394, 1213)(395, 924)(396, 1168)(397, 1216)(398, 926)(399, 996)(400, 928)(401, 1174)(402, 929)(403, 1218)(404, 1220)(405, 931)(406, 1222)(407, 1224)(408, 1123)(409, 934)(410, 1226)(411, 936)(412, 1227)(413, 939)(414, 1206)(415, 1187)(416, 1167)(417, 940)(418, 1228)(419, 1230)(420, 1155)(421, 942)(422, 943)(423, 944)(424, 1219)(425, 946)(426, 1235)(427, 1165)(428, 948)(429, 1238)(430, 953)(431, 983)(432, 1240)(433, 1013)(434, 952)(435, 1243)(436, 955)(437, 1244)(438, 1077)(439, 1002)(440, 1247)(441, 1139)(442, 960)(443, 1250)(444, 961)(445, 1116)(446, 963)(447, 1253)(448, 965)(449, 1255)(450, 1180)(451, 971)(452, 1258)(453, 968)(454, 1074)(455, 1260)(456, 970)(457, 1262)(458, 972)(459, 1065)(460, 1264)(461, 1024)(462, 974)(463, 975)(464, 1062)(465, 1048)(466, 977)(467, 979)(468, 980)(469, 1225)(470, 1200)(471, 982)(472, 1268)(473, 1270)(474, 1271)(475, 1106)(476, 986)(477, 987)(478, 1051)(479, 989)(480, 1249)(481, 1275)(482, 992)(483, 1277)(484, 1207)(485, 995)(486, 1279)(487, 1281)(488, 997)(489, 1148)(490, 1083)(491, 1000)(492, 1285)(493, 1001)(494, 1043)(495, 1003)(496, 1231)(497, 1112)(498, 1288)(499, 1006)(500, 1090)(501, 1291)(502, 1008)(503, 1082)(504, 1293)(505, 1010)(506, 1170)(507, 1058)(508, 1012)(509, 1237)(510, 1015)(511, 1295)(512, 1153)(513, 1017)(514, 1019)(515, 1278)(516, 1211)(517, 1020)(518, 1021)(519, 1104)(520, 1025)(521, 1097)(522, 1214)(523, 1026)(524, 1042)(525, 1028)(526, 1076)(527, 1298)(528, 1221)(529, 1091)(530, 1033)(531, 1223)(532, 1032)(533, 1050)(534, 1096)(535, 1034)(536, 1195)(537, 1111)(538, 1037)(539, 1060)(540, 1038)(541, 1248)(542, 1040)(543, 1286)(544, 1161)(545, 1045)(546, 1118)(547, 1046)(548, 1302)(549, 1103)(550, 1303)(551, 1304)(552, 1053)(553, 1162)(554, 1113)(555, 1056)(556, 1306)(557, 1131)(558, 1142)(559, 1151)(560, 1254)(561, 1064)(562, 1178)(563, 1067)(564, 1159)(565, 1069)(566, 1309)(567, 1282)(568, 1124)(569, 1107)(570, 1136)(571, 1081)(572, 1122)(573, 1198)(574, 1085)(575, 1177)(576, 1313)(577, 1088)(578, 1217)(579, 1290)(580, 1212)(581, 1265)(582, 1093)(583, 1305)(584, 1183)(585, 1315)(586, 1099)(587, 1172)(588, 1130)(589, 1102)(590, 1164)(591, 1280)(592, 1272)(593, 1202)(594, 1108)(595, 1188)(596, 1236)(597, 1300)(598, 1256)(599, 1127)(600, 1252)(601, 1115)(602, 1307)(603, 1242)(604, 1292)(605, 1120)(606, 1241)(607, 1128)(608, 1192)(609, 1133)(610, 1320)(611, 1267)(612, 1314)(613, 1137)(614, 1289)(615, 1319)(616, 1141)(617, 1273)(618, 1145)(619, 1257)(620, 1147)(621, 1266)(622, 1301)(623, 1191)(624, 1152)(625, 1261)(626, 1232)(627, 1157)(628, 1283)(629, 1287)(630, 1284)(631, 1310)(632, 1316)(633, 1190)(634, 1245)(635, 1317)(636, 1173)(637, 1185)(638, 1318)(639, 1194)(640, 1199)(641, 1205)(642, 1296)(643, 1246)(644, 1311)(645, 1215)(646, 1297)(647, 1233)(648, 1274)(649, 1299)(650, 1229)(651, 1234)(652, 1308)(653, 1312)(654, 1239)(655, 1269)(656, 1251)(657, 1263)(658, 1259)(659, 1294)(660, 1276)
	local type(s) :: { ( 3, 11, 3, 11 ) }
Outer automorphisms :: reflexible
Dual of E26.1533
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 330 e = 660 f = 280
	degree seq :: [ 4^330 ]

E26.1538 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 11})
Quotient :: dipole
Aut^+ = $<660, 13>$ (small group id <660, 13>)
Aut   = $<1320, 133>$ (small group id <1320, 133>)
|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)^5, (Y3 * Y2^-1)^11, (Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1)^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1, (Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1)^2 ]
Map::
	R = (1, 661, 2, 662)(3, 663, 7, 667)(4, 664, 8, 668)(5, 665, 9, 669)(6, 666, 10, 670)(11, 671, 19, 679)(12, 672, 20, 680)(13, 673, 21, 681)(14, 674, 22, 682)(15, 675, 23, 683)(16, 676, 24, 684)(17, 677, 25, 685)(18, 678, 26, 686)(27, 687, 43, 703)(28, 688, 44, 704)(29, 689, 45, 705)(30, 690, 46, 706)(31, 691, 47, 707)(32, 692, 48, 708)(33, 693, 49, 709)(34, 694, 50, 710)(35, 695, 51, 711)(36, 696, 52, 712)(37, 697, 53, 713)(38, 698, 54, 714)(39, 699, 55, 715)(40, 700, 56, 716)(41, 701, 57, 717)(42, 702, 58, 718)(59, 719, 91, 751)(60, 720, 92, 752)(61, 721, 93, 753)(62, 722, 94, 754)(63, 723, 95, 755)(64, 724, 96, 756)(65, 725, 97, 757)(66, 726, 98, 758)(67, 727, 99, 759)(68, 728, 100, 760)(69, 729, 101, 761)(70, 730, 102, 762)(71, 731, 103, 763)(72, 732, 104, 764)(73, 733, 105, 765)(74, 734, 106, 766)(75, 735, 107, 767)(76, 736, 108, 768)(77, 737, 109, 769)(78, 738, 110, 770)(79, 739, 111, 771)(80, 740, 112, 772)(81, 741, 113, 773)(82, 742, 114, 774)(83, 743, 115, 775)(84, 744, 116, 776)(85, 745, 117, 777)(86, 746, 118, 778)(87, 747, 119, 779)(88, 748, 120, 780)(89, 749, 121, 781)(90, 750, 122, 782)(123, 783, 187, 847)(124, 784, 188, 848)(125, 785, 189, 849)(126, 786, 190, 850)(127, 787, 191, 851)(128, 788, 192, 852)(129, 789, 193, 853)(130, 790, 194, 854)(131, 791, 195, 855)(132, 792, 196, 856)(133, 793, 165, 825)(134, 794, 197, 857)(135, 795, 198, 858)(136, 796, 199, 859)(137, 797, 200, 860)(138, 798, 201, 861)(139, 799, 202, 862)(140, 800, 203, 863)(141, 801, 204, 864)(142, 802, 205, 865)(143, 803, 206, 866)(144, 804, 176, 836)(145, 805, 207, 867)(146, 806, 208, 868)(147, 807, 209, 869)(148, 808, 210, 870)(149, 809, 211, 871)(150, 810, 212, 872)(151, 811, 213, 873)(152, 812, 214, 874)(153, 813, 215, 875)(154, 814, 216, 876)(155, 815, 217, 877)(156, 816, 218, 878)(157, 817, 219, 879)(158, 818, 220, 880)(159, 819, 221, 881)(160, 820, 222, 882)(161, 821, 223, 883)(162, 822, 224, 884)(163, 823, 225, 885)(164, 824, 226, 886)(166, 826, 227, 887)(167, 827, 228, 888)(168, 828, 229, 889)(169, 829, 230, 890)(170, 830, 231, 891)(171, 831, 232, 892)(172, 832, 233, 893)(173, 833, 234, 894)(174, 834, 235, 895)(175, 835, 236, 896)(177, 837, 237, 897)(178, 838, 238, 898)(179, 839, 239, 899)(180, 840, 240, 900)(181, 841, 241, 901)(182, 842, 242, 902)(183, 843, 243, 903)(184, 844, 244, 904)(185, 845, 245, 905)(186, 846, 246, 906)(247, 907, 329, 989)(248, 908, 444, 1104)(249, 909, 445, 1105)(250, 910, 447, 1107)(251, 911, 449, 1109)(252, 912, 450, 1110)(253, 913, 336, 996)(254, 914, 377, 1037)(255, 915, 446, 1106)(256, 916, 454, 1114)(257, 917, 402, 1062)(258, 918, 332, 992)(259, 919, 457, 1117)(260, 920, 459, 1119)(261, 921, 461, 1121)(262, 922, 305, 965)(263, 923, 463, 1123)(264, 924, 464, 1124)(265, 925, 351, 1011)(266, 926, 466, 1126)(267, 927, 468, 1128)(268, 928, 465, 1125)(269, 929, 469, 1129)(270, 930, 354, 1014)(271, 931, 441, 1101)(272, 932, 448, 1108)(273, 933, 371, 1031)(274, 934, 275, 935)(276, 936, 333, 993)(277, 937, 475, 1135)(278, 938, 413, 1073)(279, 939, 477, 1137)(280, 940, 440, 1100)(281, 941, 479, 1139)(282, 942, 363, 1023)(283, 943, 442, 1102)(284, 944, 476, 1136)(285, 945, 353, 1013)(286, 946, 317, 977)(287, 947, 485, 1145)(288, 948, 416, 1076)(289, 949, 488, 1148)(290, 950, 307, 967)(291, 951, 432, 1092)(292, 952, 426, 1086)(293, 953, 326, 986)(294, 954, 491, 1151)(295, 955, 437, 1097)(296, 956, 490, 1150)(297, 957, 494, 1154)(298, 958, 394, 1054)(299, 959, 495, 1155)(300, 960, 478, 1138)(301, 961, 337, 997)(302, 962, 498, 1158)(303, 963, 500, 1160)(304, 964, 423, 1083)(306, 966, 506, 1166)(308, 968, 481, 1141)(309, 969, 511, 1171)(310, 970, 513, 1173)(311, 971, 515, 1175)(312, 972, 518, 1178)(313, 973, 380, 1040)(314, 974, 452, 1112)(315, 975, 364, 1024)(316, 976, 525, 1185)(318, 978, 529, 1189)(319, 979, 523, 1183)(320, 980, 519, 1179)(321, 981, 436, 1096)(322, 982, 536, 1196)(323, 983, 496, 1156)(324, 984, 528, 1188)(325, 985, 540, 1200)(327, 987, 372, 1032)(328, 988, 543, 1203)(330, 990, 338, 998)(331, 991, 547, 1207)(334, 994, 388, 1048)(335, 995, 554, 1214)(339, 999, 557, 1217)(340, 1000, 558, 1218)(341, 1001, 379, 1039)(342, 1002, 431, 1091)(343, 1003, 562, 1222)(344, 1004, 390, 1050)(345, 1005, 566, 1226)(346, 1006, 568, 1228)(347, 1007, 569, 1229)(348, 1008, 471, 1131)(349, 1009, 551, 1211)(350, 1010, 574, 1234)(352, 1012, 573, 1233)(355, 1015, 577, 1237)(356, 1016, 578, 1238)(357, 1017, 560, 1220)(358, 1018, 580, 1240)(359, 1019, 516, 1176)(360, 1020, 417, 1077)(361, 1021, 412, 1072)(362, 1022, 586, 1246)(365, 1025, 590, 1250)(366, 1026, 556, 1216)(367, 1027, 451, 1111)(368, 1028, 575, 1235)(369, 1029, 493, 1153)(370, 1030, 594, 1254)(373, 1033, 596, 1256)(374, 1034, 589, 1249)(375, 1035, 480, 1140)(376, 1036, 541, 1201)(378, 1038, 603, 1263)(381, 1041, 606, 1266)(382, 1042, 546, 1206)(383, 1043, 428, 1088)(384, 1044, 610, 1270)(385, 1045, 584, 1244)(386, 1046, 612, 1272)(387, 1047, 424, 1084)(389, 1049, 605, 1265)(391, 1051, 616, 1276)(392, 1052, 535, 1195)(393, 1053, 539, 1199)(395, 1055, 617, 1277)(396, 1056, 618, 1278)(397, 1057, 591, 1251)(398, 1058, 611, 1271)(399, 1059, 530, 1190)(400, 1060, 503, 1163)(401, 1061, 567, 1227)(403, 1063, 433, 1093)(404, 1064, 623, 1283)(405, 1065, 600, 1260)(406, 1066, 625, 1285)(407, 1067, 533, 1193)(408, 1068, 430, 1090)(409, 1069, 532, 1192)(410, 1070, 628, 1288)(411, 1071, 629, 1289)(414, 1074, 630, 1290)(415, 1075, 631, 1291)(418, 1078, 608, 1268)(419, 1079, 581, 1241)(420, 1080, 592, 1252)(421, 1081, 633, 1293)(422, 1082, 537, 1197)(425, 1085, 593, 1253)(427, 1087, 621, 1281)(429, 1089, 636, 1296)(434, 1094, 638, 1298)(435, 1095, 504, 1164)(438, 1098, 639, 1299)(439, 1099, 626, 1286)(443, 1103, 641, 1301)(453, 1113, 613, 1273)(455, 1115, 524, 1184)(456, 1116, 505, 1165)(458, 1118, 645, 1305)(460, 1120, 607, 1267)(462, 1122, 604, 1264)(467, 1127, 646, 1306)(470, 1130, 644, 1304)(472, 1132, 614, 1274)(473, 1133, 520, 1180)(474, 1134, 637, 1297)(482, 1142, 647, 1307)(483, 1143, 542, 1202)(484, 1144, 509, 1169)(486, 1146, 652, 1312)(487, 1147, 627, 1287)(489, 1149, 643, 1303)(492, 1152, 632, 1292)(497, 1157, 648, 1308)(499, 1159, 654, 1314)(501, 1161, 655, 1315)(502, 1162, 656, 1316)(507, 1167, 595, 1255)(508, 1168, 583, 1243)(510, 1170, 619, 1279)(512, 1172, 555, 1215)(514, 1174, 587, 1247)(517, 1177, 544, 1204)(521, 1181, 609, 1269)(522, 1182, 579, 1239)(526, 1186, 534, 1194)(527, 1187, 571, 1231)(531, 1191, 548, 1208)(538, 1198, 545, 1205)(549, 1209, 651, 1311)(550, 1210, 564, 1224)(552, 1212, 565, 1225)(553, 1213, 615, 1275)(559, 1219, 570, 1230)(561, 1221, 576, 1236)(563, 1223, 599, 1259)(572, 1232, 597, 1257)(582, 1242, 642, 1302)(585, 1245, 649, 1309)(588, 1248, 635, 1295)(598, 1258, 653, 1313)(601, 1261, 622, 1282)(602, 1262, 660, 1320)(620, 1280, 650, 1310)(624, 1284, 659, 1319)(634, 1294, 658, 1318)(640, 1300, 657, 1317)(1321, 1981, 1323, 1983, 1324, 1984)(1322, 1982, 1325, 1985, 1326, 1986)(1327, 1987, 1331, 1991, 1332, 1992)(1328, 1988, 1333, 1993, 1334, 1994)(1329, 1989, 1335, 1995, 1336, 1996)(1330, 1990, 1337, 1997, 1338, 1998)(1339, 1999, 1347, 2007, 1348, 2008)(1340, 2000, 1349, 2009, 1350, 2010)(1341, 2001, 1351, 2011, 1352, 2012)(1342, 2002, 1353, 2013, 1354, 2014)(1343, 2003, 1355, 2015, 1356, 2016)(1344, 2004, 1357, 2017, 1358, 2018)(1345, 2005, 1359, 2019, 1360, 2020)(1346, 2006, 1361, 2021, 1362, 2022)(1363, 2023, 1379, 2039, 1380, 2040)(1364, 2024, 1381, 2041, 1382, 2042)(1365, 2025, 1383, 2043, 1384, 2044)(1366, 2026, 1385, 2045, 1386, 2046)(1367, 2027, 1387, 2047, 1388, 2048)(1368, 2028, 1389, 2049, 1390, 2050)(1369, 2029, 1391, 2051, 1392, 2052)(1370, 2030, 1393, 2053, 1394, 2054)(1371, 2031, 1395, 2055, 1396, 2056)(1372, 2032, 1397, 2057, 1398, 2058)(1373, 2033, 1399, 2059, 1400, 2060)(1374, 2034, 1401, 2061, 1402, 2062)(1375, 2035, 1403, 2063, 1404, 2064)(1376, 2036, 1405, 2065, 1406, 2066)(1377, 2037, 1407, 2067, 1408, 2068)(1378, 2038, 1409, 2069, 1410, 2070)(1411, 2071, 1443, 2103, 1444, 2104)(1412, 2072, 1445, 2105, 1446, 2106)(1413, 2073, 1447, 2107, 1448, 2108)(1414, 2074, 1449, 2109, 1450, 2110)(1415, 2075, 1451, 2111, 1452, 2112)(1416, 2076, 1453, 2113, 1454, 2114)(1417, 2077, 1455, 2115, 1456, 2116)(1418, 2078, 1457, 2117, 1458, 2118)(1419, 2079, 1459, 2119, 1460, 2120)(1420, 2080, 1461, 2121, 1462, 2122)(1421, 2081, 1463, 2123, 1464, 2124)(1422, 2082, 1465, 2125, 1466, 2126)(1423, 2083, 1467, 2127, 1468, 2128)(1424, 2084, 1469, 2129, 1470, 2130)(1425, 2085, 1471, 2131, 1472, 2132)(1426, 2086, 1473, 2133, 1474, 2134)(1427, 2087, 1475, 2135, 1476, 2136)(1428, 2088, 1477, 2137, 1478, 2138)(1429, 2089, 1479, 2139, 1480, 2140)(1430, 2090, 1481, 2141, 1482, 2142)(1431, 2091, 1483, 2143, 1484, 2144)(1432, 2092, 1485, 2145, 1486, 2146)(1433, 2093, 1487, 2147, 1488, 2148)(1434, 2094, 1489, 2149, 1490, 2150)(1435, 2095, 1491, 2151, 1492, 2152)(1436, 2096, 1493, 2153, 1494, 2154)(1437, 2097, 1495, 2155, 1496, 2156)(1438, 2098, 1497, 2157, 1498, 2158)(1439, 2099, 1499, 2159, 1500, 2160)(1440, 2100, 1501, 2161, 1502, 2162)(1441, 2101, 1503, 2163, 1504, 2164)(1442, 2102, 1505, 2165, 1506, 2166)(1507, 2167, 1566, 2226, 1567, 2227)(1508, 2168, 1568, 2228, 1569, 2229)(1509, 2169, 1570, 2230, 1571, 2231)(1510, 2170, 1572, 2232, 1573, 2233)(1511, 2171, 1574, 2234, 1575, 2235)(1512, 2172, 1531, 2191, 1576, 2236)(1513, 2173, 1577, 2237, 1578, 2238)(1514, 2174, 1579, 2239, 1580, 2240)(1515, 2175, 1581, 2241, 1582, 2242)(1516, 2176, 1583, 2243, 1584, 2244)(1517, 2177, 1585, 2245, 1586, 2246)(1518, 2178, 1587, 2247, 1588, 2248)(1519, 2179, 1589, 2249, 1590, 2250)(1520, 2180, 1591, 2251, 1592, 2252)(1521, 2181, 1593, 2253, 1594, 2254)(1522, 2182, 1595, 2255, 1596, 2256)(1523, 2183, 1597, 2257, 1598, 2258)(1524, 2184, 1599, 2259, 1600, 2260)(1525, 2185, 1601, 2261, 1602, 2262)(1526, 2186, 1603, 2263, 1604, 2264)(1527, 2187, 1605, 2265, 1606, 2266)(1528, 2188, 1607, 2267, 1608, 2268)(1529, 2189, 1609, 2269, 1610, 2270)(1530, 2190, 1611, 2271, 1612, 2272)(1532, 2192, 1613, 2273, 1614, 2274)(1533, 2193, 1615, 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2540)(1662, 2322, 1701, 2361, 1881, 2541)(1663, 2323, 1722, 2382, 1883, 2543)(1664, 2324, 1884, 2544, 1675, 2335)(1667, 2327, 1673, 2333, 1890, 2550)(1668, 2328, 1891, 2551, 1715, 2375)(1670, 2330, 1815, 2475, 1788, 2448)(1671, 2331, 1791, 2451, 1801, 2461)(1672, 2332, 1748, 2408, 1792, 2452)(1676, 2336, 1899, 2559, 1735, 2395)(1678, 2338, 1845, 2505, 1901, 2561)(1680, 2340, 1898, 2558, 1811, 2471)(1681, 2341, 1717, 2377, 1796, 2456)(1682, 2342, 1907, 2567, 1787, 2447)(1683, 2343, 1765, 2425, 1908, 2568)(1686, 2346, 1806, 2466, 1911, 2571)(1687, 2347, 1784, 2444, 1709, 2369)(1688, 2348, 1773, 2433, 1912, 2572)(1690, 2350, 1915, 2575, 1812, 2472)(1694, 2354, 1704, 2364, 1920, 2580)(1695, 2355, 1746, 2406, 1790, 2450)(1696, 2356, 1802, 2462, 1921, 2581)(1697, 2357, 1738, 2398, 1818, 2478)(1698, 2358, 1793, 2453, 1821, 2481)(1699, 2359, 1892, 2552, 1924, 2584)(1702, 2362, 1927, 2587, 1928, 2588)(1705, 2365, 1827, 2487, 1931, 2591)(1706, 2366, 1933, 2593, 1830, 2490)(1711, 2371, 1721, 2381, 1829, 2489)(1712, 2372, 1819, 2479, 1794, 2454)(1713, 2373, 1825, 2485, 1817, 2477)(1716, 2376, 1939, 2599, 1922, 2582)(1718, 2378, 1863, 2523, 1919, 2579)(1719, 2379, 1940, 2600, 1764, 2424)(1724, 2384, 1929, 2589, 1944, 2604)(1726, 2386, 1867, 2527, 1879, 2539)(1727, 2387, 1946, 2606, 1795, 2455)(1728, 2388, 1943, 2603, 1786, 2446)(1729, 2389, 1822, 2482, 1763, 2423)(1736, 2396, 1952, 2612, 1905, 2565)(1740, 2400, 1874, 2534, 1934, 2594)(1742, 2402, 1954, 2614, 1916, 2576)(1754, 2414, 1775, 2435, 1947, 2607)(1758, 2418, 1877, 2537, 1870, 2530)(1760, 2420, 1814, 2474, 1941, 2601)(1762, 2422, 1958, 2618, 1820, 2480)(1768, 2428, 1962, 2622, 1953, 2613)(1769, 2429, 1789, 2449, 1903, 2563)(1770, 2430, 1776, 2436, 1876, 2536)(1771, 2431, 1858, 2518, 1963, 2623)(1779, 2439, 1966, 2626, 1873, 2533)(1780, 2440, 1832, 2492, 1945, 2605)(1781, 2441, 1935, 2595, 1895, 2555)(1782, 2442, 1967, 2627, 1841, 2501)(1785, 2445, 1897, 2557, 1893, 2553)(1798, 2458, 1970, 2630, 1971, 2631)(1799, 2459, 1804, 2464, 1909, 2569)(1800, 2460, 1885, 2545, 1932, 2592)(1803, 2463, 1904, 2564, 1950, 2610)(1807, 2467, 1834, 2494, 1900, 2560)(1808, 2468, 1969, 2629, 1861, 2521)(1809, 2469, 1926, 2586, 1842, 2502)(1810, 2470, 1937, 2597, 1859, 2519)(1837, 2497, 1959, 2619, 1972, 2632)(1840, 2500, 1894, 2554, 1979, 2639)(1844, 2504, 1955, 2615, 1974, 2634)(1847, 2507, 1960, 2620, 1910, 2570)(1851, 2511, 1977, 2637, 1930, 2590)(1852, 2512, 1860, 2520, 1951, 2611)(1854, 2514, 1978, 2638, 1965, 2625)(1855, 2515, 1888, 2548, 1980, 2640)(1856, 2516, 1889, 2549, 1882, 2542)(1862, 2522, 1973, 2633, 1975, 2635)(1866, 2526, 1948, 2608, 1976, 2636)(1896, 2556, 1914, 2574, 1936, 2596)(1906, 2566, 1968, 2628, 1942, 2602)(1923, 2583, 1961, 2621, 1957, 2617)(1925, 2585, 1956, 2616, 1964, 2624)
	L = (1, 1322)(2, 1321)(3, 1327)(4, 1328)(5, 1329)(6, 1330)(7, 1323)(8, 1324)(9, 1325)(10, 1326)(11, 1339)(12, 1340)(13, 1341)(14, 1342)(15, 1343)(16, 1344)(17, 1345)(18, 1346)(19, 1331)(20, 1332)(21, 1333)(22, 1334)(23, 1335)(24, 1336)(25, 1337)(26, 1338)(27, 1363)(28, 1364)(29, 1365)(30, 1366)(31, 1367)(32, 1368)(33, 1369)(34, 1370)(35, 1371)(36, 1372)(37, 1373)(38, 1374)(39, 1375)(40, 1376)(41, 1377)(42, 1378)(43, 1347)(44, 1348)(45, 1349)(46, 1350)(47, 1351)(48, 1352)(49, 1353)(50, 1354)(51, 1355)(52, 1356)(53, 1357)(54, 1358)(55, 1359)(56, 1360)(57, 1361)(58, 1362)(59, 1411)(60, 1412)(61, 1413)(62, 1414)(63, 1415)(64, 1416)(65, 1417)(66, 1418)(67, 1419)(68, 1420)(69, 1421)(70, 1422)(71, 1423)(72, 1424)(73, 1425)(74, 1426)(75, 1427)(76, 1428)(77, 1429)(78, 1430)(79, 1431)(80, 1432)(81, 1433)(82, 1434)(83, 1435)(84, 1436)(85, 1437)(86, 1438)(87, 1439)(88, 1440)(89, 1441)(90, 1442)(91, 1379)(92, 1380)(93, 1381)(94, 1382)(95, 1383)(96, 1384)(97, 1385)(98, 1386)(99, 1387)(100, 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1683)(283, 1762)(284, 1796)(285, 1673)(286, 1637)(287, 1805)(288, 1736)(289, 1808)(290, 1627)(291, 1752)(292, 1746)(293, 1646)(294, 1811)(295, 1757)(296, 1810)(297, 1814)(298, 1714)(299, 1815)(300, 1798)(301, 1657)(302, 1818)(303, 1820)(304, 1743)(305, 1582)(306, 1826)(307, 1610)(308, 1801)(309, 1831)(310, 1833)(311, 1835)(312, 1838)(313, 1700)(314, 1772)(315, 1684)(316, 1845)(317, 1606)(318, 1849)(319, 1843)(320, 1839)(321, 1756)(322, 1856)(323, 1816)(324, 1848)(325, 1860)(326, 1613)(327, 1692)(328, 1863)(329, 1567)(330, 1658)(331, 1867)(332, 1578)(333, 1596)(334, 1708)(335, 1874)(336, 1573)(337, 1621)(338, 1650)(339, 1877)(340, 1878)(341, 1699)(342, 1751)(343, 1882)(344, 1710)(345, 1886)(346, 1888)(347, 1889)(348, 1791)(349, 1871)(350, 1894)(351, 1585)(352, 1893)(353, 1605)(354, 1590)(355, 1897)(356, 1898)(357, 1880)(358, 1900)(359, 1836)(360, 1737)(361, 1732)(362, 1906)(363, 1602)(364, 1635)(365, 1910)(366, 1876)(367, 1771)(368, 1895)(369, 1813)(370, 1914)(371, 1593)(372, 1647)(373, 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1787)(647, 1802)(648, 1817)(649, 1905)(650, 1940)(651, 1869)(652, 1806)(653, 1918)(654, 1819)(655, 1821)(656, 1822)(657, 1960)(658, 1954)(659, 1944)(660, 1922)(661, 1981)(662, 1982)(663, 1983)(664, 1984)(665, 1985)(666, 1986)(667, 1987)(668, 1988)(669, 1989)(670, 1990)(671, 1991)(672, 1992)(673, 1993)(674, 1994)(675, 1995)(676, 1996)(677, 1997)(678, 1998)(679, 1999)(680, 2000)(681, 2001)(682, 2002)(683, 2003)(684, 2004)(685, 2005)(686, 2006)(687, 2007)(688, 2008)(689, 2009)(690, 2010)(691, 2011)(692, 2012)(693, 2013)(694, 2014)(695, 2015)(696, 2016)(697, 2017)(698, 2018)(699, 2019)(700, 2020)(701, 2021)(702, 2022)(703, 2023)(704, 2024)(705, 2025)(706, 2026)(707, 2027)(708, 2028)(709, 2029)(710, 2030)(711, 2031)(712, 2032)(713, 2033)(714, 2034)(715, 2035)(716, 2036)(717, 2037)(718, 2038)(719, 2039)(720, 2040)(721, 2041)(722, 2042)(723, 2043)(724, 2044)(725, 2045)(726, 2046)(727, 2047)(728, 2048)(729, 2049)(730, 2050)(731, 2051)(732, 2052)(733, 2053)(734, 2054)(735, 2055)(736, 2056)(737, 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2329)(1010, 2330)(1011, 2331)(1012, 2332)(1013, 2333)(1014, 2334)(1015, 2335)(1016, 2336)(1017, 2337)(1018, 2338)(1019, 2339)(1020, 2340)(1021, 2341)(1022, 2342)(1023, 2343)(1024, 2344)(1025, 2345)(1026, 2346)(1027, 2347)(1028, 2348)(1029, 2349)(1030, 2350)(1031, 2351)(1032, 2352)(1033, 2353)(1034, 2354)(1035, 2355)(1036, 2356)(1037, 2357)(1038, 2358)(1039, 2359)(1040, 2360)(1041, 2361)(1042, 2362)(1043, 2363)(1044, 2364)(1045, 2365)(1046, 2366)(1047, 2367)(1048, 2368)(1049, 2369)(1050, 2370)(1051, 2371)(1052, 2372)(1053, 2373)(1054, 2374)(1055, 2375)(1056, 2376)(1057, 2377)(1058, 2378)(1059, 2379)(1060, 2380)(1061, 2381)(1062, 2382)(1063, 2383)(1064, 2384)(1065, 2385)(1066, 2386)(1067, 2387)(1068, 2388)(1069, 2389)(1070, 2390)(1071, 2391)(1072, 2392)(1073, 2393)(1074, 2394)(1075, 2395)(1076, 2396)(1077, 2397)(1078, 2398)(1079, 2399)(1080, 2400)(1081, 2401)(1082, 2402)(1083, 2403)(1084, 2404)(1085, 2405)(1086, 2406)(1087, 2407)(1088, 2408)(1089, 2409)(1090, 2410)(1091, 2411)(1092, 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2495)(1176, 2496)(1177, 2497)(1178, 2498)(1179, 2499)(1180, 2500)(1181, 2501)(1182, 2502)(1183, 2503)(1184, 2504)(1185, 2505)(1186, 2506)(1187, 2507)(1188, 2508)(1189, 2509)(1190, 2510)(1191, 2511)(1192, 2512)(1193, 2513)(1194, 2514)(1195, 2515)(1196, 2516)(1197, 2517)(1198, 2518)(1199, 2519)(1200, 2520)(1201, 2521)(1202, 2522)(1203, 2523)(1204, 2524)(1205, 2525)(1206, 2526)(1207, 2527)(1208, 2528)(1209, 2529)(1210, 2530)(1211, 2531)(1212, 2532)(1213, 2533)(1214, 2534)(1215, 2535)(1216, 2536)(1217, 2537)(1218, 2538)(1219, 2539)(1220, 2540)(1221, 2541)(1222, 2542)(1223, 2543)(1224, 2544)(1225, 2545)(1226, 2546)(1227, 2547)(1228, 2548)(1229, 2549)(1230, 2550)(1231, 2551)(1232, 2552)(1233, 2553)(1234, 2554)(1235, 2555)(1236, 2556)(1237, 2557)(1238, 2558)(1239, 2559)(1240, 2560)(1241, 2561)(1242, 2562)(1243, 2563)(1244, 2564)(1245, 2565)(1246, 2566)(1247, 2567)(1248, 2568)(1249, 2569)(1250, 2570)(1251, 2571)(1252, 2572)(1253, 2573)(1254, 2574)(1255, 2575)(1256, 2576)(1257, 2577)(1258, 2578)(1259, 2579)(1260, 2580)(1261, 2581)(1262, 2582)(1263, 2583)(1264, 2584)(1265, 2585)(1266, 2586)(1267, 2587)(1268, 2588)(1269, 2589)(1270, 2590)(1271, 2591)(1272, 2592)(1273, 2593)(1274, 2594)(1275, 2595)(1276, 2596)(1277, 2597)(1278, 2598)(1279, 2599)(1280, 2600)(1281, 2601)(1282, 2602)(1283, 2603)(1284, 2604)(1285, 2605)(1286, 2606)(1287, 2607)(1288, 2608)(1289, 2609)(1290, 2610)(1291, 2611)(1292, 2612)(1293, 2613)(1294, 2614)(1295, 2615)(1296, 2616)(1297, 2617)(1298, 2618)(1299, 2619)(1300, 2620)(1301, 2621)(1302, 2622)(1303, 2623)(1304, 2624)(1305, 2625)(1306, 2626)(1307, 2627)(1308, 2628)(1309, 2629)(1310, 2630)(1311, 2631)(1312, 2632)(1313, 2633)(1314, 2634)(1315, 2635)(1316, 2636)(1317, 2637)(1318, 2638)(1319, 2639)(1320, 2640)
	local type(s) :: { ( 2, 22, 2, 22 ), ( 2, 22, 2, 22, 2, 22 ) }
Outer automorphisms :: reflexible
Dual of E26.1541
Graph:: bipartite
	v = 550 e = 1320 f = 720
	degree seq :: [ 4^330, 6^220 ]

E26.1539 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 11})
Quotient :: dipole
Aut^+ = $<660, 13>$ (small group id <660, 13>)
Aut   = $<1320, 133>$ (small group id <1320, 133>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y2^11, (Y2^2 * Y1^-1)^5, Y1^-1 * Y2^2 * Y1^-1 * Y2^-3 * Y1 * Y2^3 * Y1^-1 * Y2^-4, Y2^3 * Y1^-1 * Y2^3 * Y1^-1 * Y2^-2 * Y1 * Y2^-3 * Y1 * Y2^-2 * Y1^-1, Y2^2 * Y1^-1 * Y2^4 * Y1^-1 * Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^2, Y2^2 * Y1^-1 * Y2^-2 * Y1 * Y2^3 * Y1^-1 * Y2^2 * Y1^-1 * Y2^-3 * Y1^-1 * Y2^2 * Y1^-1, Y2 * Y1^-1 * Y2^-3 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1^-1 * Y2^-3 * Y1 * Y2^-3 * Y1^-1, (Y2^3 * Y1^-1)^5 ]
Map::
	R = (1, 661, 2, 662, 4, 664)(3, 663, 8, 668, 10, 670)(5, 665, 12, 672, 6, 666)(7, 667, 15, 675, 11, 671)(9, 669, 18, 678, 20, 680)(13, 673, 25, 685, 23, 683)(14, 674, 24, 684, 28, 688)(16, 676, 31, 691, 29, 689)(17, 677, 33, 693, 21, 681)(19, 679, 36, 696, 38, 698)(22, 682, 30, 690, 42, 702)(26, 686, 47, 707, 45, 705)(27, 687, 49, 709, 51, 711)(32, 692, 57, 717, 55, 715)(34, 694, 61, 721, 59, 719)(35, 695, 63, 723, 39, 699)(37, 697, 66, 726, 68, 728)(40, 700, 60, 720, 72, 732)(41, 701, 73, 733, 75, 735)(43, 703, 46, 706, 78, 738)(44, 704, 79, 739, 52, 712)(48, 708, 85, 745, 83, 743)(50, 710, 88, 748, 90, 750)(53, 713, 56, 716, 94, 754)(54, 714, 95, 755, 76, 736)(58, 718, 101, 761, 99, 759)(62, 722, 107, 767, 105, 765)(64, 724, 111, 771, 109, 769)(65, 725, 113, 773, 69, 729)(67, 727, 116, 776, 117, 777)(70, 730, 110, 770, 121, 781)(71, 731, 122, 782, 124, 784)(74, 734, 127, 787, 129, 789)(77, 737, 132, 792, 134, 794)(80, 740, 138, 798, 136, 796)(81, 741, 84, 744, 141, 801)(82, 742, 142, 802, 135, 795)(86, 746, 148, 808, 146, 806)(87, 747, 149, 809, 91, 751)(89, 749, 152, 812, 153, 813)(92, 752, 137, 797, 157, 817)(93, 753, 158, 818, 160, 820)(96, 756, 164, 824, 162, 822)(97, 757, 100, 760, 167, 827)(98, 758, 168, 828, 161, 821)(102, 762, 174, 834, 172, 832)(103, 763, 106, 766, 176, 836)(104, 764, 177, 837, 125, 785)(108, 768, 183, 843, 181, 841)(112, 772, 188, 848, 186, 846)(114, 774, 192, 852, 190, 850)(115, 775, 194, 854, 118, 778)(119, 779, 191, 851, 200, 860)(120, 780, 201, 861, 203, 863)(123, 783, 206, 866, 208, 868)(126, 786, 211, 871, 130, 790)(128, 788, 214, 874, 215, 875)(131, 791, 163, 823, 219, 879)(133, 793, 221, 881, 223, 883)(139, 799, 230, 890, 228, 888)(140, 800, 232, 892, 234, 894)(143, 803, 238, 898, 236, 896)(144, 804, 147, 807, 241, 901)(145, 805, 242, 902, 235, 895)(150, 810, 249, 909, 247, 907)(151, 811, 251, 911, 154, 814)(155, 815, 248, 908, 257, 917)(156, 816, 258, 918, 260, 920)(159, 819, 263, 923, 265, 925)(165, 825, 272, 932, 270, 930)(166, 826, 274, 934, 276, 936)(169, 829, 279, 939, 278, 938)(170, 830, 173, 833, 282, 942)(171, 831, 283, 943, 277, 937)(175, 835, 288, 948, 290, 950)(178, 838, 293, 953, 292, 952)(179, 839, 182, 842, 296, 956)(180, 840, 297, 957, 291, 951)(184, 844, 187, 847, 303, 963)(185, 845, 267, 927, 204, 864)(189, 849, 309, 969, 307, 967)(193, 853, 313, 973, 252, 912)(195, 855, 317, 977, 315, 975)(196, 856, 319, 979, 197, 857)(198, 858, 316, 976, 323, 983)(199, 859, 324, 984, 326, 986)(202, 862, 329, 989, 331, 991)(205, 865, 333, 993, 209, 869)(207, 867, 336, 996, 337, 997)(210, 870, 261, 921, 227, 887)(212, 872, 318, 978, 341, 1001)(213, 873, 343, 1003, 216, 876)(217, 877, 342, 1002, 349, 1009)(218, 878, 350, 1010, 352, 1012)(220, 880, 353, 1013, 224, 884)(222, 882, 355, 1015, 356, 1016)(225, 885, 237, 897, 269, 929)(226, 886, 229, 889, 361, 1021)(231, 891, 367, 1027, 365, 1025)(233, 893, 295, 955, 370, 1030)(239, 899, 376, 1036, 374, 1034)(240, 900, 378, 1038, 275, 935)(243, 903, 382, 1042, 380, 1040)(244, 904, 246, 906, 385, 1045)(245, 905, 386, 1046, 379, 1039)(250, 910, 392, 1052, 344, 1004)(253, 913, 395, 1055, 254, 914)(255, 915, 394, 1054, 399, 1059)(256, 916, 400, 1060, 402, 1062)(259, 919, 404, 1064, 406, 1066)(262, 922, 408, 1068, 266, 926)(264, 924, 410, 1070, 411, 1071)(268, 928, 271, 931, 416, 1076)(273, 933, 421, 1081, 419, 1079)(280, 940, 429, 1089, 427, 1087)(281, 941, 431, 1091, 289, 949)(284, 944, 435, 1095, 433, 1093)(285, 945, 287, 947, 438, 1098)(286, 946, 439, 1099, 432, 1092)(294, 954, 449, 1109, 447, 1107)(298, 958, 453, 1113, 452, 1112)(299, 959, 301, 961, 456, 1116)(300, 960, 457, 1117, 451, 1111)(302, 962, 460, 1120, 462, 1122)(304, 964, 463, 1123, 414, 1074)(305, 965, 308, 968, 357, 1017)(306, 966, 464, 1124, 440, 1100)(310, 970, 312, 972, 469, 1129)(311, 971, 445, 1105, 327, 987)(314, 974, 472, 1132, 471, 1131)(320, 980, 478, 1138, 476, 1136)(321, 981, 477, 1137, 481, 1141)(322, 982, 482, 1142, 413, 1073)(325, 985, 407, 1067, 403, 1063)(328, 988, 486, 1146, 332, 992)(330, 990, 489, 1149, 490, 1150)(334, 994, 479, 1139, 492, 1152)(335, 995, 420, 1080, 338, 998)(339, 999, 398, 1058, 496, 1156)(340, 1000, 362, 1022, 497, 1157)(345, 1005, 501, 1161, 346, 1006)(347, 1007, 500, 1160, 505, 1165)(348, 1008, 506, 1166, 491, 1151)(351, 1011, 508, 1168, 510, 1170)(354, 1014, 513, 1173, 512, 1172)(358, 1018, 504, 1164, 518, 1178)(359, 1019, 417, 1077, 488, 1148)(360, 1020, 519, 1179, 521, 1181)(363, 1023, 366, 1026, 412, 1072)(364, 1024, 522, 1182, 458, 1118)(368, 1028, 526, 1186, 371, 1031)(369, 1029, 528, 1188, 529, 1189)(372, 1032, 381, 1041, 390, 1050)(373, 1033, 375, 1035, 436, 1096)(377, 1037, 533, 1193, 532, 1192)(383, 1043, 446, 1106, 448, 1108)(384, 1044, 538, 1198, 520, 1180)(387, 1047, 418, 1078, 540, 1200)(388, 1048, 541, 1201, 539, 1199)(389, 1049, 391, 1051, 544, 1204)(393, 1053, 547, 1207, 546, 1206)(396, 1056, 514, 1174, 548, 1208)(397, 1057, 549, 1209, 551, 1211)(401, 1061, 511, 1171, 507, 1167)(405, 1065, 555, 1215, 556, 1216)(409, 1069, 558, 1218, 557, 1217)(415, 1075, 563, 1223, 565, 1225)(422, 1082, 569, 1229, 424, 1084)(423, 1083, 534, 1194, 571, 1231)(425, 1085, 434, 1094, 499, 1159)(426, 1086, 428, 1088, 454, 1114)(430, 1090, 574, 1234, 573, 1233)(437, 1097, 579, 1239, 564, 1224)(441, 1101, 581, 1241, 580, 1240)(442, 1102, 583, 1243, 444, 1104)(443, 1103, 575, 1235, 585, 1245)(450, 1110, 588, 1248, 587, 1247)(455, 1115, 591, 1251, 461, 1121)(459, 1119, 593, 1253, 592, 1252)(465, 1125, 553, 1213, 552, 1212)(466, 1126, 467, 1127, 599, 1259)(468, 1128, 601, 1261, 570, 1230)(470, 1130, 603, 1263, 594, 1254)(473, 1133, 474, 1134, 607, 1267)(475, 1135, 608, 1268, 498, 1158)(480, 1140, 531, 1191, 578, 1238)(483, 1143, 566, 1226, 485, 1145)(484, 1144, 554, 1214, 582, 1242)(487, 1147, 542, 1202, 545, 1205)(493, 1153, 616, 1276, 494, 1154)(495, 1155, 576, 1236, 577, 1237)(502, 1162, 559, 1219, 620, 1280)(503, 1163, 621, 1281, 623, 1283)(509, 1169, 625, 1285, 626, 1286)(515, 1175, 629, 1289, 516, 1176)(517, 1177, 589, 1249, 590, 1250)(523, 1183, 614, 1274, 624, 1284)(524, 1184, 525, 1185, 635, 1295)(527, 1187, 619, 1279, 636, 1296)(530, 1190, 550, 1210, 572, 1232)(535, 1195, 536, 1196, 562, 1222)(537, 1197, 622, 1282, 586, 1246)(543, 1203, 643, 1303, 584, 1244)(560, 1220, 648, 1308, 561, 1221)(567, 1227, 568, 1228, 650, 1310)(595, 1255, 633, 1293, 597, 1257)(596, 1256, 653, 1313, 647, 1307)(598, 1258, 654, 1314, 602, 1262)(600, 1260, 632, 1292, 642, 1302)(604, 1264, 605, 1265, 641, 1301)(606, 1266, 639, 1299, 638, 1298)(609, 1269, 610, 1270, 631, 1291)(611, 1271, 627, 1287, 615, 1275)(612, 1272, 652, 1312, 613, 1273)(617, 1277, 634, 1294, 657, 1317)(618, 1278, 658, 1318, 640, 1300)(628, 1288, 649, 1309, 646, 1306)(630, 1290, 637, 1297, 659, 1319)(644, 1304, 645, 1305, 651, 1311)(655, 1315, 660, 1320, 656, 1316)(1321, 1981, 1323, 1983, 1329, 1989, 1339, 1999, 1357, 2017, 1387, 2047, 1406, 2066, 1368, 2028, 1346, 2006, 1333, 1993, 1325, 1985)(1322, 1982, 1326, 1986, 1334, 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2228)(1473, 2133, 1574, 2234, 1717, 2377, 1870, 2530, 1846, 2506, 1956, 2616, 1928, 2588, 1902, 2562, 1761, 2421, 1607, 2267, 1494, 2154)(1477, 2137, 1581, 2241, 1497, 2157, 1612, 2272, 1766, 2426, 1906, 2566, 1943, 2603, 1901, 2561, 1874, 2534, 1723, 2383, 1578, 2238)(1487, 2147, 1597, 2257, 1745, 2405, 1628, 2288, 1508, 2168, 1627, 2287, 1786, 2446, 1918, 2578, 1890, 2550, 1742, 2402, 1594, 2254)(1496, 2156, 1611, 2271, 1765, 2425, 1686, 2346, 1550, 2210, 1685, 2345, 1844, 2504, 1954, 2614, 1904, 2564, 1762, 2422, 1608, 2268)(1503, 2163, 1535, 2195, 1666, 2326, 1823, 2483, 1942, 2602, 1889, 2549, 1921, 2581, 1789, 2449, 1914, 2574, 1779, 2439, 1621, 2281)(1514, 2174, 1635, 2295, 1793, 2453, 1926, 2586, 1976, 2636, 1971, 2631, 1895, 2555, 1751, 2411, 1602, 2262, 1752, 2412, 1636, 2296)(1520, 2180, 1647, 2307, 1617, 2277, 1772, 2432, 1909, 2569, 1838, 2498, 1825, 2485, 1706, 2366, 1860, 2520, 1803, 2463, 1644, 2304)(1523, 2183, 1652, 2312, 1811, 2471, 1934, 2594, 1856, 2516, 1702, 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2289, 1657, 2317, 1814, 2474, 1938, 2598, 1853, 2513, 1849, 2509, 1959, 2619, 1927, 2587, 1946, 2606, 1920, 2580, 1787, 2447)(1639, 2299, 1796, 2456, 1929, 2589, 1949, 2609, 1979, 2639, 1970, 2630, 1973, 2633, 1911, 2571, 1776, 2436, 1912, 2572, 1797, 2457)(1676, 2336, 1836, 2496, 1951, 2611, 1894, 2554, 1891, 2551, 1925, 2585, 1792, 2452, 1810, 2470, 1933, 2593, 1845, 2505, 1687, 2347)(1705, 2365, 1859, 2519, 1869, 2529, 1715, 2375, 1868, 2528, 1966, 2626, 1968, 2628, 1974, 2634, 1919, 2579, 1962, 2622, 1858, 2518)(1731, 2391, 1881, 2541, 1969, 2629, 1908, 2568, 1905, 2565, 1965, 2625, 1867, 2527, 1876, 2536, 1967, 2627, 1888, 2548, 1741, 2401)(1758, 2418, 1900, 2560, 1941, 2601, 1821, 2481, 1940, 2600, 1978, 2638, 1936, 2596, 1977, 2637, 1955, 2615, 1972, 2632, 1899, 2559)
	L = (1, 1323)(2, 1326)(3, 1329)(4, 1331)(5, 1321)(6, 1334)(7, 1322)(8, 1324)(9, 1339)(10, 1341)(11, 1342)(12, 1343)(13, 1325)(14, 1347)(15, 1349)(16, 1327)(17, 1328)(18, 1330)(19, 1357)(20, 1359)(21, 1360)(22, 1361)(23, 1363)(24, 1332)(25, 1365)(26, 1333)(27, 1370)(28, 1372)(29, 1373)(30, 1335)(31, 1375)(32, 1336)(33, 1379)(34, 1337)(35, 1338)(36, 1340)(37, 1387)(38, 1389)(39, 1390)(40, 1391)(41, 1394)(42, 1396)(43, 1397)(44, 1344)(45, 1401)(46, 1345)(47, 1403)(48, 1346)(49, 1348)(50, 1409)(51, 1411)(52, 1412)(53, 1413)(54, 1350)(55, 1417)(56, 1351)(57, 1419)(58, 1352)(59, 1423)(60, 1353)(61, 1425)(62, 1354)(63, 1429)(64, 1355)(65, 1356)(66, 1358)(67, 1406)(68, 1438)(69, 1439)(70, 1440)(71, 1443)(72, 1445)(73, 1362)(74, 1448)(75, 1450)(76, 1451)(77, 1453)(78, 1455)(79, 1456)(80, 1364)(81, 1460)(82, 1366)(83, 1464)(84, 1367)(85, 1466)(86, 1368)(87, 1369)(88, 1371)(89, 1422)(90, 1474)(91, 1475)(92, 1476)(93, 1479)(94, 1481)(95, 1482)(96, 1374)(97, 1486)(98, 1376)(99, 1490)(100, 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1726)(556, 1967)(557, 1931)(558, 1822)(559, 1729)(560, 1730)(561, 1969)(562, 1843)(563, 1736)(564, 1932)(565, 1915)(566, 1738)(567, 1957)(568, 1741)(569, 1921)(570, 1742)(571, 1925)(572, 1871)(573, 1930)(574, 1891)(575, 1751)(576, 1816)(577, 1755)(578, 1756)(579, 1758)(580, 1941)(581, 1874)(582, 1761)(583, 1963)(584, 1762)(585, 1965)(586, 1943)(587, 1948)(588, 1905)(589, 1838)(590, 1773)(591, 1776)(592, 1797)(593, 1923)(594, 1779)(595, 1780)(596, 1875)(597, 1839)(598, 1890)(599, 1962)(600, 1787)(601, 1789)(602, 1880)(603, 1827)(604, 1975)(605, 1792)(606, 1976)(607, 1946)(608, 1902)(609, 1949)(610, 1798)(611, 1799)(612, 1809)(613, 1845)(614, 1856)(615, 1833)(616, 1977)(617, 1813)(618, 1853)(619, 1950)(620, 1978)(621, 1821)(622, 1889)(623, 1901)(624, 1826)(625, 1830)(626, 1920)(627, 1878)(628, 1834)(629, 1979)(630, 1835)(631, 1894)(632, 1945)(633, 1883)(634, 1904)(635, 1972)(636, 1928)(637, 1847)(638, 1848)(639, 1927)(640, 1879)(641, 1854)(642, 1858)(643, 1864)(644, 1980)(645, 1867)(646, 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2057)(738, 2058)(739, 2059)(740, 2060)(741, 2061)(742, 2062)(743, 2063)(744, 2064)(745, 2065)(746, 2066)(747, 2067)(748, 2068)(749, 2069)(750, 2070)(751, 2071)(752, 2072)(753, 2073)(754, 2074)(755, 2075)(756, 2076)(757, 2077)(758, 2078)(759, 2079)(760, 2080)(761, 2081)(762, 2082)(763, 2083)(764, 2084)(765, 2085)(766, 2086)(767, 2087)(768, 2088)(769, 2089)(770, 2090)(771, 2091)(772, 2092)(773, 2093)(774, 2094)(775, 2095)(776, 2096)(777, 2097)(778, 2098)(779, 2099)(780, 2100)(781, 2101)(782, 2102)(783, 2103)(784, 2104)(785, 2105)(786, 2106)(787, 2107)(788, 2108)(789, 2109)(790, 2110)(791, 2111)(792, 2112)(793, 2113)(794, 2114)(795, 2115)(796, 2116)(797, 2117)(798, 2118)(799, 2119)(800, 2120)(801, 2121)(802, 2122)(803, 2123)(804, 2124)(805, 2125)(806, 2126)(807, 2127)(808, 2128)(809, 2129)(810, 2130)(811, 2131)(812, 2132)(813, 2133)(814, 2134)(815, 2135)(816, 2136)(817, 2137)(818, 2138)(819, 2139)(820, 2140)(821, 2141)(822, 2142)(823, 2143)(824, 2144)(825, 2145)(826, 2146)(827, 2147)(828, 2148)(829, 2149)(830, 2150)(831, 2151)(832, 2152)(833, 2153)(834, 2154)(835, 2155)(836, 2156)(837, 2157)(838, 2158)(839, 2159)(840, 2160)(841, 2161)(842, 2162)(843, 2163)(844, 2164)(845, 2165)(846, 2166)(847, 2167)(848, 2168)(849, 2169)(850, 2170)(851, 2171)(852, 2172)(853, 2173)(854, 2174)(855, 2175)(856, 2176)(857, 2177)(858, 2178)(859, 2179)(860, 2180)(861, 2181)(862, 2182)(863, 2183)(864, 2184)(865, 2185)(866, 2186)(867, 2187)(868, 2188)(869, 2189)(870, 2190)(871, 2191)(872, 2192)(873, 2193)(874, 2194)(875, 2195)(876, 2196)(877, 2197)(878, 2198)(879, 2199)(880, 2200)(881, 2201)(882, 2202)(883, 2203)(884, 2204)(885, 2205)(886, 2206)(887, 2207)(888, 2208)(889, 2209)(890, 2210)(891, 2211)(892, 2212)(893, 2213)(894, 2214)(895, 2215)(896, 2216)(897, 2217)(898, 2218)(899, 2219)(900, 2220)(901, 2221)(902, 2222)(903, 2223)(904, 2224)(905, 2225)(906, 2226)(907, 2227)(908, 2228)(909, 2229)(910, 2230)(911, 2231)(912, 2232)(913, 2233)(914, 2234)(915, 2235)(916, 2236)(917, 2237)(918, 2238)(919, 2239)(920, 2240)(921, 2241)(922, 2242)(923, 2243)(924, 2244)(925, 2245)(926, 2246)(927, 2247)(928, 2248)(929, 2249)(930, 2250)(931, 2251)(932, 2252)(933, 2253)(934, 2254)(935, 2255)(936, 2256)(937, 2257)(938, 2258)(939, 2259)(940, 2260)(941, 2261)(942, 2262)(943, 2263)(944, 2264)(945, 2265)(946, 2266)(947, 2267)(948, 2268)(949, 2269)(950, 2270)(951, 2271)(952, 2272)(953, 2273)(954, 2274)(955, 2275)(956, 2276)(957, 2277)(958, 2278)(959, 2279)(960, 2280)(961, 2281)(962, 2282)(963, 2283)(964, 2284)(965, 2285)(966, 2286)(967, 2287)(968, 2288)(969, 2289)(970, 2290)(971, 2291)(972, 2292)(973, 2293)(974, 2294)(975, 2295)(976, 2296)(977, 2297)(978, 2298)(979, 2299)(980, 2300)(981, 2301)(982, 2302)(983, 2303)(984, 2304)(985, 2305)(986, 2306)(987, 2307)(988, 2308)(989, 2309)(990, 2310)(991, 2311)(992, 2312)(993, 2313)(994, 2314)(995, 2315)(996, 2316)(997, 2317)(998, 2318)(999, 2319)(1000, 2320)(1001, 2321)(1002, 2322)(1003, 2323)(1004, 2324)(1005, 2325)(1006, 2326)(1007, 2327)(1008, 2328)(1009, 2329)(1010, 2330)(1011, 2331)(1012, 2332)(1013, 2333)(1014, 2334)(1015, 2335)(1016, 2336)(1017, 2337)(1018, 2338)(1019, 2339)(1020, 2340)(1021, 2341)(1022, 2342)(1023, 2343)(1024, 2344)(1025, 2345)(1026, 2346)(1027, 2347)(1028, 2348)(1029, 2349)(1030, 2350)(1031, 2351)(1032, 2352)(1033, 2353)(1034, 2354)(1035, 2355)(1036, 2356)(1037, 2357)(1038, 2358)(1039, 2359)(1040, 2360)(1041, 2361)(1042, 2362)(1043, 2363)(1044, 2364)(1045, 2365)(1046, 2366)(1047, 2367)(1048, 2368)(1049, 2369)(1050, 2370)(1051, 2371)(1052, 2372)(1053, 2373)(1054, 2374)(1055, 2375)(1056, 2376)(1057, 2377)(1058, 2378)(1059, 2379)(1060, 2380)(1061, 2381)(1062, 2382)(1063, 2383)(1064, 2384)(1065, 2385)(1066, 2386)(1067, 2387)(1068, 2388)(1069, 2389)(1070, 2390)(1071, 2391)(1072, 2392)(1073, 2393)(1074, 2394)(1075, 2395)(1076, 2396)(1077, 2397)(1078, 2398)(1079, 2399)(1080, 2400)(1081, 2401)(1082, 2402)(1083, 2403)(1084, 2404)(1085, 2405)(1086, 2406)(1087, 2407)(1088, 2408)(1089, 2409)(1090, 2410)(1091, 2411)(1092, 2412)(1093, 2413)(1094, 2414)(1095, 2415)(1096, 2416)(1097, 2417)(1098, 2418)(1099, 2419)(1100, 2420)(1101, 2421)(1102, 2422)(1103, 2423)(1104, 2424)(1105, 2425)(1106, 2426)(1107, 2427)(1108, 2428)(1109, 2429)(1110, 2430)(1111, 2431)(1112, 2432)(1113, 2433)(1114, 2434)(1115, 2435)(1116, 2436)(1117, 2437)(1118, 2438)(1119, 2439)(1120, 2440)(1121, 2441)(1122, 2442)(1123, 2443)(1124, 2444)(1125, 2445)(1126, 2446)(1127, 2447)(1128, 2448)(1129, 2449)(1130, 2450)(1131, 2451)(1132, 2452)(1133, 2453)(1134, 2454)(1135, 2455)(1136, 2456)(1137, 2457)(1138, 2458)(1139, 2459)(1140, 2460)(1141, 2461)(1142, 2462)(1143, 2463)(1144, 2464)(1145, 2465)(1146, 2466)(1147, 2467)(1148, 2468)(1149, 2469)(1150, 2470)(1151, 2471)(1152, 2472)(1153, 2473)(1154, 2474)(1155, 2475)(1156, 2476)(1157, 2477)(1158, 2478)(1159, 2479)(1160, 2480)(1161, 2481)(1162, 2482)(1163, 2483)(1164, 2484)(1165, 2485)(1166, 2486)(1167, 2487)(1168, 2488)(1169, 2489)(1170, 2490)(1171, 2491)(1172, 2492)(1173, 2493)(1174, 2494)(1175, 2495)(1176, 2496)(1177, 2497)(1178, 2498)(1179, 2499)(1180, 2500)(1181, 2501)(1182, 2502)(1183, 2503)(1184, 2504)(1185, 2505)(1186, 2506)(1187, 2507)(1188, 2508)(1189, 2509)(1190, 2510)(1191, 2511)(1192, 2512)(1193, 2513)(1194, 2514)(1195, 2515)(1196, 2516)(1197, 2517)(1198, 2518)(1199, 2519)(1200, 2520)(1201, 2521)(1202, 2522)(1203, 2523)(1204, 2524)(1205, 2525)(1206, 2526)(1207, 2527)(1208, 2528)(1209, 2529)(1210, 2530)(1211, 2531)(1212, 2532)(1213, 2533)(1214, 2534)(1215, 2535)(1216, 2536)(1217, 2537)(1218, 2538)(1219, 2539)(1220, 2540)(1221, 2541)(1222, 2542)(1223, 2543)(1224, 2544)(1225, 2545)(1226, 2546)(1227, 2547)(1228, 2548)(1229, 2549)(1230, 2550)(1231, 2551)(1232, 2552)(1233, 2553)(1234, 2554)(1235, 2555)(1236, 2556)(1237, 2557)(1238, 2558)(1239, 2559)(1240, 2560)(1241, 2561)(1242, 2562)(1243, 2563)(1244, 2564)(1245, 2565)(1246, 2566)(1247, 2567)(1248, 2568)(1249, 2569)(1250, 2570)(1251, 2571)(1252, 2572)(1253, 2573)(1254, 2574)(1255, 2575)(1256, 2576)(1257, 2577)(1258, 2578)(1259, 2579)(1260, 2580)(1261, 2581)(1262, 2582)(1263, 2583)(1264, 2584)(1265, 2585)(1266, 2586)(1267, 2587)(1268, 2588)(1269, 2589)(1270, 2590)(1271, 2591)(1272, 2592)(1273, 2593)(1274, 2594)(1275, 2595)(1276, 2596)(1277, 2597)(1278, 2598)(1279, 2599)(1280, 2600)(1281, 2601)(1282, 2602)(1283, 2603)(1284, 2604)(1285, 2605)(1286, 2606)(1287, 2607)(1288, 2608)(1289, 2609)(1290, 2610)(1291, 2611)(1292, 2612)(1293, 2613)(1294, 2614)(1295, 2615)(1296, 2616)(1297, 2617)(1298, 2618)(1299, 2619)(1300, 2620)(1301, 2621)(1302, 2622)(1303, 2623)(1304, 2624)(1305, 2625)(1306, 2626)(1307, 2627)(1308, 2628)(1309, 2629)(1310, 2630)(1311, 2631)(1312, 2632)(1313, 2633)(1314, 2634)(1315, 2635)(1316, 2636)(1317, 2637)(1318, 2638)(1319, 2639)(1320, 2640)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1540
Graph:: bipartite
	v = 280 e = 1320 f = 990
	degree seq :: [ 6^220, 22^60 ]

E26.1540 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 11})
Quotient :: dipole
Aut^+ = $<660, 13>$ (small group id <660, 13>)
Aut   = $<1320, 133>$ (small group id <1320, 133>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (Y2 * Y3^-1)^3, (R * Y2 * Y3^-1)^2, Y3^11, (Y3^-2 * Y2 * Y3^3 * Y2 * Y3^-1)^2, Y3^3 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^2 * Y2, Y3^-1 * Y2 * Y3 * Y2 * Y3^-3 * Y2 * Y3^2 * Y2 * Y3^3 * Y2 * Y3^-2 * Y2 * Y3^-3, Y3^-1 * Y2 * Y3^-2 * Y2 * Y3^2 * Y2 * Y3^-2 * Y2 * Y3^-5 * Y2 * Y3^-4, (Y3^-1 * Y2 * Y3^5 * Y2 * Y3^-3)^2, (Y3^2 * Y2 * Y3^-3 * Y2 * Y3^-3 * Y2)^2, (Y3^-1 * Y1^-1)^11 ]
Map:: polytopal
	R = (1, 661)(2, 662)(3, 663)(4, 664)(5, 665)(6, 666)(7, 667)(8, 668)(9, 669)(10, 670)(11, 671)(12, 672)(13, 673)(14, 674)(15, 675)(16, 676)(17, 677)(18, 678)(19, 679)(20, 680)(21, 681)(22, 682)(23, 683)(24, 684)(25, 685)(26, 686)(27, 687)(28, 688)(29, 689)(30, 690)(31, 691)(32, 692)(33, 693)(34, 694)(35, 695)(36, 696)(37, 697)(38, 698)(39, 699)(40, 700)(41, 701)(42, 702)(43, 703)(44, 704)(45, 705)(46, 706)(47, 707)(48, 708)(49, 709)(50, 710)(51, 711)(52, 712)(53, 713)(54, 714)(55, 715)(56, 716)(57, 717)(58, 718)(59, 719)(60, 720)(61, 721)(62, 722)(63, 723)(64, 724)(65, 725)(66, 726)(67, 727)(68, 728)(69, 729)(70, 730)(71, 731)(72, 732)(73, 733)(74, 734)(75, 735)(76, 736)(77, 737)(78, 738)(79, 739)(80, 740)(81, 741)(82, 742)(83, 743)(84, 744)(85, 745)(86, 746)(87, 747)(88, 748)(89, 749)(90, 750)(91, 751)(92, 752)(93, 753)(94, 754)(95, 755)(96, 756)(97, 757)(98, 758)(99, 759)(100, 760)(101, 761)(102, 762)(103, 763)(104, 764)(105, 765)(106, 766)(107, 767)(108, 768)(109, 769)(110, 770)(111, 771)(112, 772)(113, 773)(114, 774)(115, 775)(116, 776)(117, 777)(118, 778)(119, 779)(120, 780)(121, 781)(122, 782)(123, 783)(124, 784)(125, 785)(126, 786)(127, 787)(128, 788)(129, 789)(130, 790)(131, 791)(132, 792)(133, 793)(134, 794)(135, 795)(136, 796)(137, 797)(138, 798)(139, 799)(140, 800)(141, 801)(142, 802)(143, 803)(144, 804)(145, 805)(146, 806)(147, 807)(148, 808)(149, 809)(150, 810)(151, 811)(152, 812)(153, 813)(154, 814)(155, 815)(156, 816)(157, 817)(158, 818)(159, 819)(160, 820)(161, 821)(162, 822)(163, 823)(164, 824)(165, 825)(166, 826)(167, 827)(168, 828)(169, 829)(170, 830)(171, 831)(172, 832)(173, 833)(174, 834)(175, 835)(176, 836)(177, 837)(178, 838)(179, 839)(180, 840)(181, 841)(182, 842)(183, 843)(184, 844)(185, 845)(186, 846)(187, 847)(188, 848)(189, 849)(190, 850)(191, 851)(192, 852)(193, 853)(194, 854)(195, 855)(196, 856)(197, 857)(198, 858)(199, 859)(200, 860)(201, 861)(202, 862)(203, 863)(204, 864)(205, 865)(206, 866)(207, 867)(208, 868)(209, 869)(210, 870)(211, 871)(212, 872)(213, 873)(214, 874)(215, 875)(216, 876)(217, 877)(218, 878)(219, 879)(220, 880)(221, 881)(222, 882)(223, 883)(224, 884)(225, 885)(226, 886)(227, 887)(228, 888)(229, 889)(230, 890)(231, 891)(232, 892)(233, 893)(234, 894)(235, 895)(236, 896)(237, 897)(238, 898)(239, 899)(240, 900)(241, 901)(242, 902)(243, 903)(244, 904)(245, 905)(246, 906)(247, 907)(248, 908)(249, 909)(250, 910)(251, 911)(252, 912)(253, 913)(254, 914)(255, 915)(256, 916)(257, 917)(258, 918)(259, 919)(260, 920)(261, 921)(262, 922)(263, 923)(264, 924)(265, 925)(266, 926)(267, 927)(268, 928)(269, 929)(270, 930)(271, 931)(272, 932)(273, 933)(274, 934)(275, 935)(276, 936)(277, 937)(278, 938)(279, 939)(280, 940)(281, 941)(282, 942)(283, 943)(284, 944)(285, 945)(286, 946)(287, 947)(288, 948)(289, 949)(290, 950)(291, 951)(292, 952)(293, 953)(294, 954)(295, 955)(296, 956)(297, 957)(298, 958)(299, 959)(300, 960)(301, 961)(302, 962)(303, 963)(304, 964)(305, 965)(306, 966)(307, 967)(308, 968)(309, 969)(310, 970)(311, 971)(312, 972)(313, 973)(314, 974)(315, 975)(316, 976)(317, 977)(318, 978)(319, 979)(320, 980)(321, 981)(322, 982)(323, 983)(324, 984)(325, 985)(326, 986)(327, 987)(328, 988)(329, 989)(330, 990)(331, 991)(332, 992)(333, 993)(334, 994)(335, 995)(336, 996)(337, 997)(338, 998)(339, 999)(340, 1000)(341, 1001)(342, 1002)(343, 1003)(344, 1004)(345, 1005)(346, 1006)(347, 1007)(348, 1008)(349, 1009)(350, 1010)(351, 1011)(352, 1012)(353, 1013)(354, 1014)(355, 1015)(356, 1016)(357, 1017)(358, 1018)(359, 1019)(360, 1020)(361, 1021)(362, 1022)(363, 1023)(364, 1024)(365, 1025)(366, 1026)(367, 1027)(368, 1028)(369, 1029)(370, 1030)(371, 1031)(372, 1032)(373, 1033)(374, 1034)(375, 1035)(376, 1036)(377, 1037)(378, 1038)(379, 1039)(380, 1040)(381, 1041)(382, 1042)(383, 1043)(384, 1044)(385, 1045)(386, 1046)(387, 1047)(388, 1048)(389, 1049)(390, 1050)(391, 1051)(392, 1052)(393, 1053)(394, 1054)(395, 1055)(396, 1056)(397, 1057)(398, 1058)(399, 1059)(400, 1060)(401, 1061)(402, 1062)(403, 1063)(404, 1064)(405, 1065)(406, 1066)(407, 1067)(408, 1068)(409, 1069)(410, 1070)(411, 1071)(412, 1072)(413, 1073)(414, 1074)(415, 1075)(416, 1076)(417, 1077)(418, 1078)(419, 1079)(420, 1080)(421, 1081)(422, 1082)(423, 1083)(424, 1084)(425, 1085)(426, 1086)(427, 1087)(428, 1088)(429, 1089)(430, 1090)(431, 1091)(432, 1092)(433, 1093)(434, 1094)(435, 1095)(436, 1096)(437, 1097)(438, 1098)(439, 1099)(440, 1100)(441, 1101)(442, 1102)(443, 1103)(444, 1104)(445, 1105)(446, 1106)(447, 1107)(448, 1108)(449, 1109)(450, 1110)(451, 1111)(452, 1112)(453, 1113)(454, 1114)(455, 1115)(456, 1116)(457, 1117)(458, 1118)(459, 1119)(460, 1120)(461, 1121)(462, 1122)(463, 1123)(464, 1124)(465, 1125)(466, 1126)(467, 1127)(468, 1128)(469, 1129)(470, 1130)(471, 1131)(472, 1132)(473, 1133)(474, 1134)(475, 1135)(476, 1136)(477, 1137)(478, 1138)(479, 1139)(480, 1140)(481, 1141)(482, 1142)(483, 1143)(484, 1144)(485, 1145)(486, 1146)(487, 1147)(488, 1148)(489, 1149)(490, 1150)(491, 1151)(492, 1152)(493, 1153)(494, 1154)(495, 1155)(496, 1156)(497, 1157)(498, 1158)(499, 1159)(500, 1160)(501, 1161)(502, 1162)(503, 1163)(504, 1164)(505, 1165)(506, 1166)(507, 1167)(508, 1168)(509, 1169)(510, 1170)(511, 1171)(512, 1172)(513, 1173)(514, 1174)(515, 1175)(516, 1176)(517, 1177)(518, 1178)(519, 1179)(520, 1180)(521, 1181)(522, 1182)(523, 1183)(524, 1184)(525, 1185)(526, 1186)(527, 1187)(528, 1188)(529, 1189)(530, 1190)(531, 1191)(532, 1192)(533, 1193)(534, 1194)(535, 1195)(536, 1196)(537, 1197)(538, 1198)(539, 1199)(540, 1200)(541, 1201)(542, 1202)(543, 1203)(544, 1204)(545, 1205)(546, 1206)(547, 1207)(548, 1208)(549, 1209)(550, 1210)(551, 1211)(552, 1212)(553, 1213)(554, 1214)(555, 1215)(556, 1216)(557, 1217)(558, 1218)(559, 1219)(560, 1220)(561, 1221)(562, 1222)(563, 1223)(564, 1224)(565, 1225)(566, 1226)(567, 1227)(568, 1228)(569, 1229)(570, 1230)(571, 1231)(572, 1232)(573, 1233)(574, 1234)(575, 1235)(576, 1236)(577, 1237)(578, 1238)(579, 1239)(580, 1240)(581, 1241)(582, 1242)(583, 1243)(584, 1244)(585, 1245)(586, 1246)(587, 1247)(588, 1248)(589, 1249)(590, 1250)(591, 1251)(592, 1252)(593, 1253)(594, 1254)(595, 1255)(596, 1256)(597, 1257)(598, 1258)(599, 1259)(600, 1260)(601, 1261)(602, 1262)(603, 1263)(604, 1264)(605, 1265)(606, 1266)(607, 1267)(608, 1268)(609, 1269)(610, 1270)(611, 1271)(612, 1272)(613, 1273)(614, 1274)(615, 1275)(616, 1276)(617, 1277)(618, 1278)(619, 1279)(620, 1280)(621, 1281)(622, 1282)(623, 1283)(624, 1284)(625, 1285)(626, 1286)(627, 1287)(628, 1288)(629, 1289)(630, 1290)(631, 1291)(632, 1292)(633, 1293)(634, 1294)(635, 1295)(636, 1296)(637, 1297)(638, 1298)(639, 1299)(640, 1300)(641, 1301)(642, 1302)(643, 1303)(644, 1304)(645, 1305)(646, 1306)(647, 1307)(648, 1308)(649, 1309)(650, 1310)(651, 1311)(652, 1312)(653, 1313)(654, 1314)(655, 1315)(656, 1316)(657, 1317)(658, 1318)(659, 1319)(660, 1320)(1321, 1981, 1322, 1982)(1323, 1983, 1327, 1987)(1324, 1984, 1329, 1989)(1325, 1985, 1331, 1991)(1326, 1986, 1333, 1993)(1328, 1988, 1336, 1996)(1330, 1990, 1339, 1999)(1332, 1992, 1342, 2002)(1334, 1994, 1345, 2005)(1335, 1995, 1347, 2007)(1337, 1997, 1350, 2010)(1338, 1998, 1352, 2012)(1340, 2000, 1355, 2015)(1341, 2001, 1357, 2017)(1343, 2003, 1360, 2020)(1344, 2004, 1362, 2022)(1346, 2006, 1365, 2025)(1348, 2008, 1368, 2028)(1349, 2009, 1370, 2030)(1351, 2011, 1373, 2033)(1353, 2013, 1376, 2036)(1354, 2014, 1378, 2038)(1356, 2016, 1381, 2041)(1358, 2018, 1384, 2044)(1359, 2019, 1386, 2046)(1361, 2021, 1389, 2049)(1363, 2023, 1392, 2052)(1364, 2024, 1394, 2054)(1366, 2026, 1397, 2057)(1367, 2027, 1399, 2059)(1369, 2029, 1402, 2062)(1371, 2031, 1405, 2065)(1372, 2032, 1407, 2067)(1374, 2034, 1410, 2070)(1375, 2035, 1411, 2071)(1377, 2037, 1414, 2074)(1379, 2039, 1417, 2077)(1380, 2040, 1419, 2079)(1382, 2042, 1422, 2082)(1383, 2043, 1423, 2083)(1385, 2045, 1426, 2086)(1387, 2047, 1429, 2089)(1388, 2048, 1431, 2091)(1390, 2050, 1434, 2094)(1391, 2051, 1435, 2095)(1393, 2053, 1438, 2098)(1395, 2055, 1441, 2101)(1396, 2056, 1443, 2103)(1398, 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2209)(1468, 2128, 1552, 2212)(1470, 2130, 1555, 2215)(1471, 2131, 1557, 2217)(1473, 2133, 1559, 2219)(1475, 2135, 1561, 2221)(1476, 2136, 1563, 2223)(1478, 2138, 1565, 2225)(1479, 2139, 1567, 2227)(1481, 2141, 1517, 2177)(1483, 2143, 1572, 2232)(1485, 2145, 1575, 2235)(1487, 2147, 1578, 2238)(1489, 2149, 1581, 2241)(1490, 2150, 1583, 2243)(1493, 2153, 1587, 2247)(1494, 2154, 1589, 2249)(1496, 2156, 1592, 2252)(1497, 2157, 1594, 2254)(1501, 2161, 1599, 2259)(1502, 2162, 1520, 2180)(1503, 2163, 1602, 2262)(1505, 2165, 1605, 2265)(1507, 2167, 1608, 2268)(1508, 2168, 1610, 2270)(1511, 2171, 1613, 2273)(1512, 2172, 1615, 2275)(1514, 2174, 1617, 2277)(1515, 2175, 1619, 2279)(1519, 2179, 1624, 2284)(1522, 2182, 1628, 2288)(1523, 2183, 1630, 2290)(1525, 2185, 1633, 2293)(1526, 2186, 1634, 2294)(1528, 2188, 1625, 2285)(1530, 2190, 1639, 2299)(1531, 2191, 1640, 2300)(1533, 2193, 1643, 2303)(1535, 2195, 1646, 2306)(1537, 2197, 1649, 2309)(1538, 2198, 1651, 2311)(1540, 2200, 1653, 2313)(1542, 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2410)(1614, 2274, 1753, 2413)(1616, 2276, 1756, 2416)(1618, 2278, 1759, 2419)(1620, 2280, 1761, 2421)(1623, 2283, 1765, 2425)(1626, 2286, 1769, 2429)(1627, 2287, 1701, 2361)(1629, 2289, 1772, 2432)(1631, 2291, 1775, 2435)(1632, 2292, 1777, 2437)(1635, 2295, 1780, 2440)(1636, 2296, 1768, 2428)(1637, 2297, 1767, 2427)(1638, 2298, 1784, 2444)(1641, 2301, 1787, 2447)(1644, 2304, 1751, 2411)(1645, 2305, 1791, 2451)(1647, 2307, 1794, 2454)(1648, 2308, 1795, 2455)(1650, 2310, 1788, 2448)(1652, 2312, 1800, 2460)(1654, 2314, 1803, 2463)(1656, 2316, 1806, 2466)(1657, 2317, 1808, 2468)(1658, 2318, 1810, 2470)(1660, 2320, 1812, 2472)(1661, 2321, 1747, 2407)(1662, 2322, 1746, 2406)(1664, 2324, 1776, 2436)(1665, 2325, 1737, 2397)(1667, 2327, 1819, 2479)(1669, 2329, 1822, 2482)(1670, 2330, 1824, 2484)(1673, 2333, 1827, 2487)(1674, 2334, 1734, 2394)(1675, 2335, 1733, 2393)(1676, 2336, 1799, 2459)(1678, 2338, 1833, 2493)(1681, 2341, 1716, 2376)(1682, 2342, 1837, 2497)(1684, 2344, 1840, 2500)(1685, 2345, 1841, 2501)(1687, 2347, 1834, 2494)(1688, 2348, 1845, 2505)(1690, 2350, 1848, 2508)(1692, 2352, 1851, 2511)(1693, 2353, 1853, 2513)(1694, 2354, 1855, 2515)(1696, 2356, 1857, 2517)(1697, 2357, 1711, 2371)(1698, 2358, 1710, 2370)(1700, 2360, 1823, 2483)(1703, 2363, 1864, 2524)(1705, 2365, 1807, 2467)(1706, 2366, 1790, 2450)(1709, 2369, 1868, 2528)(1712, 2372, 1804, 2464)(1714, 2374, 1872, 2532)(1717, 2377, 1874, 2534)(1719, 2379, 1877, 2537)(1720, 2380, 1858, 2518)(1722, 2382, 1873, 2533)(1724, 2384, 1881, 2541)(1726, 2386, 1884, 2544)(1728, 2388, 1774, 2434)(1729, 2389, 1886, 2546)(1730, 2390, 1888, 2548)(1732, 2392, 1889, 2549)(1736, 2396, 1866, 2526)(1739, 2399, 1895, 2555)(1741, 2401, 1852, 2512)(1742, 2402, 1836, 2496)(1745, 2405, 1899, 2559)(1748, 2408, 1849, 2509)(1749, 2409, 1903, 2563)(1752, 2412, 1905, 2565)(1754, 2414, 1908, 2568)(1755, 2415, 1813, 2473)(1757, 2417, 1904, 2564)(1758, 2418, 1912, 2572)(1760, 2420, 1915, 2575)(1762, 2422, 1821, 2481)(1763, 2423, 1917, 2577)(1764, 2424, 1919, 2579)(1766, 2426, 1920, 2580)(1770, 2430, 1897, 2557)(1771, 2431, 1839, 2499)(1773, 2433, 1820, 2480)(1778, 2438, 1802, 2462)(1779, 2439, 1927, 2587)(1781, 2441, 1929, 2589)(1782, 2442, 1879, 2539)(1783, 2443, 1930, 2590)(1785, 2445, 1931, 2591)(1786, 2446, 1932, 2592)(1789, 2449, 1935, 2595)(1792, 2452, 1878, 2538)(1793, 2453, 1818, 2478)(1796, 2456, 1875, 2535)(1797, 2457, 1870, 2530)(1798, 2458, 1934, 2594)(1801, 2461, 1940, 2600)(1805, 2465, 1942, 2602)(1809, 2469, 1918, 2578)(1811, 2471, 1944, 2604)(1814, 2474, 1945, 2605)(1815, 2475, 1893, 2553)(1816, 2476, 1926, 2586)(1817, 2477, 1891, 2551)(1825, 2485, 1847, 2507)(1826, 2486, 1950, 2610)(1828, 2488, 1951, 2611)(1829, 2489, 1910, 2570)(1830, 2490, 1952, 2612)(1831, 2491, 1953, 2613)(1832, 2492, 1947, 2607)(1835, 2495, 1956, 2616)(1838, 2498, 1909, 2569)(1842, 2502, 1906, 2566)(1843, 2503, 1901, 2561)(1844, 2504, 1955, 2615)(1846, 2506, 1946, 2606)(1850, 2510, 1959, 2619)(1854, 2514, 1887, 2547)(1856, 2516, 1960, 2620)(1859, 2519, 1939, 2599)(1860, 2520, 1924, 2584)(1861, 2521, 1949, 2609)(1862, 2522, 1922, 2582)(1863, 2523, 1907, 2567)(1865, 2525, 1896, 2556)(1867, 2527, 1883, 2543)(1869, 2529, 1957, 2617)(1871, 2531, 1963, 2623)(1876, 2536, 1894, 2554)(1880, 2540, 1964, 2624)(1882, 2542, 1967, 2627)(1885, 2545, 1925, 2585)(1890, 2550, 1969, 2629)(1892, 2552, 1961, 2621)(1898, 2558, 1914, 2574)(1900, 2560, 1937, 2597)(1902, 2562, 1972, 2632)(1911, 2571, 1973, 2633)(1913, 2573, 1970, 2630)(1916, 2576, 1948, 2608)(1921, 2581, 1966, 2626)(1923, 2583, 1971, 2631)(1928, 2588, 1976, 2636)(1933, 2593, 1965, 2625)(1936, 2596, 1958, 2618)(1938, 2598, 1943, 2603)(1941, 2601, 1979, 2639)(1954, 2614, 1974, 2634)(1962, 2622, 1978, 2638)(1968, 2628, 1977, 2637)(1975, 2635, 1980, 2640)
	L = (1, 1323)(2, 1325)(3, 1328)(4, 1321)(5, 1332)(6, 1322)(7, 1333)(8, 1337)(9, 1338)(10, 1324)(11, 1329)(12, 1343)(13, 1344)(14, 1326)(15, 1327)(16, 1347)(17, 1351)(18, 1353)(19, 1354)(20, 1330)(21, 1331)(22, 1357)(23, 1361)(24, 1363)(25, 1364)(26, 1334)(27, 1367)(28, 1335)(29, 1336)(30, 1370)(31, 1374)(32, 1339)(33, 1377)(34, 1379)(35, 1380)(36, 1340)(37, 1383)(38, 1341)(39, 1342)(40, 1386)(41, 1390)(42, 1345)(43, 1393)(44, 1395)(45, 1396)(46, 1346)(47, 1400)(48, 1401)(49, 1348)(50, 1404)(51, 1349)(52, 1350)(53, 1407)(54, 1382)(55, 1352)(56, 1411)(57, 1415)(58, 1355)(59, 1418)(60, 1420)(61, 1421)(62, 1356)(63, 1424)(64, 1425)(65, 1358)(66, 1428)(67, 1359)(68, 1360)(69, 1431)(70, 1398)(71, 1362)(72, 1435)(73, 1439)(74, 1365)(75, 1442)(76, 1444)(77, 1445)(78, 1366)(79, 1368)(80, 1449)(81, 1451)(82, 1452)(83, 1369)(84, 1456)(85, 1457)(86, 1371)(87, 1460)(88, 1372)(89, 1373)(90, 1463)(91, 1466)(92, 1375)(93, 1376)(94, 1469)(95, 1473)(96, 1378)(97, 1474)(98, 1478)(99, 1381)(100, 1481)(101, 1483)(102, 1484)(103, 1384)(104, 1487)(105, 1489)(106, 1490)(107, 1385)(108, 1493)(109, 1494)(110, 1387)(111, 1497)(112, 1388)(113, 1389)(114, 1500)(115, 1503)(116, 1391)(117, 1392)(118, 1506)(119, 1454)(120, 1394)(121, 1510)(122, 1514)(123, 1397)(124, 1517)(125, 1519)(126, 1520)(127, 1399)(128, 1521)(129, 1525)(130, 1402)(131, 1528)(132, 1530)(133, 1531)(134, 1403)(135, 1405)(136, 1535)(137, 1537)(138, 1538)(139, 1406)(140, 1542)(141, 1543)(142, 1408)(143, 1545)(144, 1409)(145, 1410)(146, 1550)(147, 1551)(148, 1412)(149, 1554)(150, 1413)(151, 1414)(152, 1557)(153, 1427)(154, 1560)(155, 1416)(156, 1417)(157, 1563)(158, 1566)(159, 1419)(160, 1567)(161, 1570)(162, 1422)(163, 1573)(164, 1574)(165, 1423)(166, 1575)(167, 1579)(168, 1426)(169, 1582)(170, 1584)(171, 1585)(172, 1429)(173, 1588)(174, 1590)(175, 1591)(176, 1430)(177, 1595)(178, 1596)(179, 1432)(180, 1598)(181, 1433)(182, 1434)(183, 1603)(184, 1604)(185, 1436)(186, 1607)(187, 1437)(188, 1438)(189, 1610)(190, 1612)(191, 1440)(192, 1441)(193, 1615)(194, 1618)(195, 1443)(196, 1619)(197, 1622)(198, 1446)(199, 1625)(200, 1626)(201, 1627)(202, 1447)(203, 1448)(204, 1630)(205, 1540)(206, 1450)(207, 1634)(208, 1637)(209, 1453)(210, 1477)(211, 1641)(212, 1642)(213, 1455)(214, 1643)(215, 1647)(216, 1458)(217, 1650)(218, 1471)(219, 1652)(220, 1459)(221, 1461)(222, 1656)(223, 1657)(224, 1462)(225, 1660)(226, 1661)(227, 1464)(228, 1465)(229, 1467)(230, 1667)(231, 1669)(232, 1670)(233, 1468)(234, 1673)(235, 1674)(236, 1470)(237, 1676)(238, 1472)(239, 1677)(240, 1681)(241, 1682)(242, 1475)(243, 1685)(244, 1476)(245, 1639)(246, 1553)(247, 1690)(248, 1479)(249, 1480)(250, 1694)(251, 1482)(252, 1695)(253, 1698)(254, 1700)(255, 1701)(256, 1485)(257, 1486)(258, 1704)(259, 1593)(260, 1488)(261, 1708)(262, 1711)(263, 1491)(264, 1513)(265, 1714)(266, 1492)(267, 1715)(268, 1719)(269, 1495)(270, 1722)(271, 1508)(272, 1724)(273, 1496)(274, 1498)(275, 1728)(276, 1729)(277, 1499)(278, 1732)(279, 1733)(280, 1501)(281, 1502)(282, 1504)(283, 1739)(284, 1741)(285, 1742)(286, 1505)(287, 1745)(288, 1746)(289, 1507)(290, 1748)(291, 1509)(292, 1751)(293, 1752)(294, 1511)(295, 1755)(296, 1512)(297, 1713)(298, 1606)(299, 1760)(300, 1515)(301, 1516)(302, 1764)(303, 1518)(304, 1765)(305, 1768)(306, 1770)(307, 1702)(308, 1771)(309, 1522)(310, 1774)(311, 1523)(312, 1524)(313, 1777)(314, 1779)(315, 1526)(316, 1527)(317, 1783)(318, 1529)(319, 1784)(320, 1532)(321, 1788)(322, 1789)(323, 1750)(324, 1533)(325, 1534)(326, 1791)(327, 1658)(328, 1536)(329, 1795)(330, 1798)(331, 1539)(332, 1801)(333, 1802)(334, 1541)(335, 1803)(336, 1807)(337, 1809)(338, 1544)(339, 1546)(340, 1813)(341, 1814)(342, 1547)(343, 1816)(344, 1548)(345, 1549)(346, 1737)(347, 1820)(348, 1552)(349, 1823)(350, 1706)(351, 1825)(352, 1555)(353, 1828)(354, 1829)(355, 1556)(356, 1831)(357, 1832)(358, 1558)(359, 1559)(360, 1561)(361, 1836)(362, 1838)(363, 1839)(364, 1562)(365, 1842)(366, 1843)(367, 1564)(368, 1565)(369, 1845)(370, 1849)(371, 1850)(372, 1568)(373, 1569)(374, 1684)(375, 1856)(376, 1571)(377, 1572)(378, 1860)(379, 1663)(380, 1862)(381, 1628)(382, 1863)(383, 1576)(384, 1806)(385, 1577)(386, 1578)(387, 1790)(388, 1785)(389, 1580)(390, 1581)(391, 1871)(392, 1583)(393, 1804)(394, 1873)(395, 1680)(396, 1586)(397, 1587)(398, 1874)(399, 1730)(400, 1589)(401, 1858)(402, 1880)(403, 1592)(404, 1882)(405, 1883)(406, 1594)(407, 1884)(408, 1775)(409, 1887)(410, 1597)(411, 1599)(412, 1841)(413, 1890)(414, 1600)(415, 1892)(416, 1601)(417, 1602)(418, 1665)(419, 1896)(420, 1605)(421, 1897)(422, 1632)(423, 1898)(424, 1608)(425, 1900)(426, 1901)(427, 1609)(428, 1826)(429, 1611)(430, 1613)(431, 1824)(432, 1906)(433, 1907)(434, 1614)(435, 1909)(436, 1910)(437, 1616)(438, 1617)(439, 1912)(440, 1799)(441, 1916)(442, 1620)(443, 1621)(444, 1754)(445, 1811)(446, 1623)(447, 1624)(448, 1922)(449, 1735)(450, 1924)(451, 1840)(452, 1819)(453, 1629)(454, 1925)(455, 1891)(456, 1631)(457, 1716)(458, 1633)(459, 1712)(460, 1928)(461, 1635)(462, 1636)(463, 1773)(464, 1726)(465, 1638)(466, 1640)(467, 1932)(468, 1870)(469, 1936)(470, 1644)(471, 1937)(472, 1645)(473, 1646)(474, 1818)(475, 1766)(476, 1648)(477, 1649)(478, 1867)(479, 1651)(480, 1653)(481, 1918)(482, 1941)(483, 1927)(484, 1654)(485, 1655)(486, 1942)(487, 1815)(488, 1888)(489, 1913)(490, 1943)(491, 1659)(492, 1944)(493, 1756)(494, 1946)(495, 1662)(496, 1947)(497, 1664)(498, 1666)(499, 1793)(500, 1830)(501, 1668)(502, 1762)(503, 1949)(504, 1671)(505, 1911)(506, 1672)(507, 1950)(508, 1796)(509, 1904)(510, 1675)(511, 1744)(512, 1954)(513, 1955)(514, 1678)(515, 1679)(516, 1743)(517, 1683)(518, 1812)(519, 1772)(520, 1958)(521, 1686)(522, 1781)(523, 1893)(524, 1687)(525, 1945)(526, 1688)(527, 1689)(528, 1691)(529, 1723)(530, 1805)(531, 1740)(532, 1692)(533, 1886)(534, 1693)(535, 1917)(536, 1731)(537, 1792)(538, 1696)(539, 1697)(540, 1852)(541, 1699)(542, 1879)(543, 1908)(544, 1895)(545, 1703)(546, 1705)(547, 1707)(548, 1962)(549, 1709)(550, 1710)(551, 1865)(552, 1956)(553, 1782)(554, 1951)(555, 1717)(556, 1718)(557, 1894)(558, 1720)(559, 1721)(560, 1778)(561, 1725)(562, 1854)(563, 1968)(564, 1931)(565, 1727)(566, 1810)(567, 1846)(568, 1933)(569, 1960)(570, 1970)(571, 1734)(572, 1935)(573, 1736)(574, 1738)(575, 1876)(576, 1902)(577, 1971)(578, 1844)(579, 1953)(580, 1878)(581, 1834)(582, 1747)(583, 1973)(584, 1749)(585, 1753)(586, 1889)(587, 1864)(588, 1974)(589, 1869)(590, 1817)(591, 1757)(592, 1969)(593, 1758)(594, 1759)(595, 1761)(596, 1885)(597, 1808)(598, 1763)(599, 1853)(600, 1875)(601, 1767)(602, 1822)(603, 1769)(604, 1797)(605, 1975)(606, 1776)(607, 1780)(608, 1827)(609, 1905)(610, 1966)(611, 1868)(612, 1861)(613, 1786)(614, 1787)(615, 1903)(616, 1855)(617, 1978)(618, 1794)(619, 1800)(620, 1859)(621, 1847)(622, 1980)(623, 1835)(624, 1920)(625, 1972)(626, 1967)(627, 1833)(628, 1821)(629, 1965)(630, 1848)(631, 1976)(632, 1930)(633, 1915)(634, 1919)(635, 1977)(636, 1923)(637, 1837)(638, 1961)(639, 1851)(640, 1857)(641, 1866)(642, 1899)(643, 1939)(644, 1872)(645, 1877)(646, 1881)(647, 1921)(648, 1914)(649, 1952)(650, 1940)(651, 1938)(652, 1963)(653, 1979)(654, 1926)(655, 1959)(656, 1929)(657, 1934)(658, 1957)(659, 1964)(660, 1948)(661, 1981)(662, 1982)(663, 1983)(664, 1984)(665, 1985)(666, 1986)(667, 1987)(668, 1988)(669, 1989)(670, 1990)(671, 1991)(672, 1992)(673, 1993)(674, 1994)(675, 1995)(676, 1996)(677, 1997)(678, 1998)(679, 1999)(680, 2000)(681, 2001)(682, 2002)(683, 2003)(684, 2004)(685, 2005)(686, 2006)(687, 2007)(688, 2008)(689, 2009)(690, 2010)(691, 2011)(692, 2012)(693, 2013)(694, 2014)(695, 2015)(696, 2016)(697, 2017)(698, 2018)(699, 2019)(700, 2020)(701, 2021)(702, 2022)(703, 2023)(704, 2024)(705, 2025)(706, 2026)(707, 2027)(708, 2028)(709, 2029)(710, 2030)(711, 2031)(712, 2032)(713, 2033)(714, 2034)(715, 2035)(716, 2036)(717, 2037)(718, 2038)(719, 2039)(720, 2040)(721, 2041)(722, 2042)(723, 2043)(724, 2044)(725, 2045)(726, 2046)(727, 2047)(728, 2048)(729, 2049)(730, 2050)(731, 2051)(732, 2052)(733, 2053)(734, 2054)(735, 2055)(736, 2056)(737, 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2148)(829, 2149)(830, 2150)(831, 2151)(832, 2152)(833, 2153)(834, 2154)(835, 2155)(836, 2156)(837, 2157)(838, 2158)(839, 2159)(840, 2160)(841, 2161)(842, 2162)(843, 2163)(844, 2164)(845, 2165)(846, 2166)(847, 2167)(848, 2168)(849, 2169)(850, 2170)(851, 2171)(852, 2172)(853, 2173)(854, 2174)(855, 2175)(856, 2176)(857, 2177)(858, 2178)(859, 2179)(860, 2180)(861, 2181)(862, 2182)(863, 2183)(864, 2184)(865, 2185)(866, 2186)(867, 2187)(868, 2188)(869, 2189)(870, 2190)(871, 2191)(872, 2192)(873, 2193)(874, 2194)(875, 2195)(876, 2196)(877, 2197)(878, 2198)(879, 2199)(880, 2200)(881, 2201)(882, 2202)(883, 2203)(884, 2204)(885, 2205)(886, 2206)(887, 2207)(888, 2208)(889, 2209)(890, 2210)(891, 2211)(892, 2212)(893, 2213)(894, 2214)(895, 2215)(896, 2216)(897, 2217)(898, 2218)(899, 2219)(900, 2220)(901, 2221)(902, 2222)(903, 2223)(904, 2224)(905, 2225)(906, 2226)(907, 2227)(908, 2228)(909, 2229)(910, 2230)(911, 2231)(912, 2232)(913, 2233)(914, 2234)(915, 2235)(916, 2236)(917, 2237)(918, 2238)(919, 2239)(920, 2240)(921, 2241)(922, 2242)(923, 2243)(924, 2244)(925, 2245)(926, 2246)(927, 2247)(928, 2248)(929, 2249)(930, 2250)(931, 2251)(932, 2252)(933, 2253)(934, 2254)(935, 2255)(936, 2256)(937, 2257)(938, 2258)(939, 2259)(940, 2260)(941, 2261)(942, 2262)(943, 2263)(944, 2264)(945, 2265)(946, 2266)(947, 2267)(948, 2268)(949, 2269)(950, 2270)(951, 2271)(952, 2272)(953, 2273)(954, 2274)(955, 2275)(956, 2276)(957, 2277)(958, 2278)(959, 2279)(960, 2280)(961, 2281)(962, 2282)(963, 2283)(964, 2284)(965, 2285)(966, 2286)(967, 2287)(968, 2288)(969, 2289)(970, 2290)(971, 2291)(972, 2292)(973, 2293)(974, 2294)(975, 2295)(976, 2296)(977, 2297)(978, 2298)(979, 2299)(980, 2300)(981, 2301)(982, 2302)(983, 2303)(984, 2304)(985, 2305)(986, 2306)(987, 2307)(988, 2308)(989, 2309)(990, 2310)(991, 2311)(992, 2312)(993, 2313)(994, 2314)(995, 2315)(996, 2316)(997, 2317)(998, 2318)(999, 2319)(1000, 2320)(1001, 2321)(1002, 2322)(1003, 2323)(1004, 2324)(1005, 2325)(1006, 2326)(1007, 2327)(1008, 2328)(1009, 2329)(1010, 2330)(1011, 2331)(1012, 2332)(1013, 2333)(1014, 2334)(1015, 2335)(1016, 2336)(1017, 2337)(1018, 2338)(1019, 2339)(1020, 2340)(1021, 2341)(1022, 2342)(1023, 2343)(1024, 2344)(1025, 2345)(1026, 2346)(1027, 2347)(1028, 2348)(1029, 2349)(1030, 2350)(1031, 2351)(1032, 2352)(1033, 2353)(1034, 2354)(1035, 2355)(1036, 2356)(1037, 2357)(1038, 2358)(1039, 2359)(1040, 2360)(1041, 2361)(1042, 2362)(1043, 2363)(1044, 2364)(1045, 2365)(1046, 2366)(1047, 2367)(1048, 2368)(1049, 2369)(1050, 2370)(1051, 2371)(1052, 2372)(1053, 2373)(1054, 2374)(1055, 2375)(1056, 2376)(1057, 2377)(1058, 2378)(1059, 2379)(1060, 2380)(1061, 2381)(1062, 2382)(1063, 2383)(1064, 2384)(1065, 2385)(1066, 2386)(1067, 2387)(1068, 2388)(1069, 2389)(1070, 2390)(1071, 2391)(1072, 2392)(1073, 2393)(1074, 2394)(1075, 2395)(1076, 2396)(1077, 2397)(1078, 2398)(1079, 2399)(1080, 2400)(1081, 2401)(1082, 2402)(1083, 2403)(1084, 2404)(1085, 2405)(1086, 2406)(1087, 2407)(1088, 2408)(1089, 2409)(1090, 2410)(1091, 2411)(1092, 2412)(1093, 2413)(1094, 2414)(1095, 2415)(1096, 2416)(1097, 2417)(1098, 2418)(1099, 2419)(1100, 2420)(1101, 2421)(1102, 2422)(1103, 2423)(1104, 2424)(1105, 2425)(1106, 2426)(1107, 2427)(1108, 2428)(1109, 2429)(1110, 2430)(1111, 2431)(1112, 2432)(1113, 2433)(1114, 2434)(1115, 2435)(1116, 2436)(1117, 2437)(1118, 2438)(1119, 2439)(1120, 2440)(1121, 2441)(1122, 2442)(1123, 2443)(1124, 2444)(1125, 2445)(1126, 2446)(1127, 2447)(1128, 2448)(1129, 2449)(1130, 2450)(1131, 2451)(1132, 2452)(1133, 2453)(1134, 2454)(1135, 2455)(1136, 2456)(1137, 2457)(1138, 2458)(1139, 2459)(1140, 2460)(1141, 2461)(1142, 2462)(1143, 2463)(1144, 2464)(1145, 2465)(1146, 2466)(1147, 2467)(1148, 2468)(1149, 2469)(1150, 2470)(1151, 2471)(1152, 2472)(1153, 2473)(1154, 2474)(1155, 2475)(1156, 2476)(1157, 2477)(1158, 2478)(1159, 2479)(1160, 2480)(1161, 2481)(1162, 2482)(1163, 2483)(1164, 2484)(1165, 2485)(1166, 2486)(1167, 2487)(1168, 2488)(1169, 2489)(1170, 2490)(1171, 2491)(1172, 2492)(1173, 2493)(1174, 2494)(1175, 2495)(1176, 2496)(1177, 2497)(1178, 2498)(1179, 2499)(1180, 2500)(1181, 2501)(1182, 2502)(1183, 2503)(1184, 2504)(1185, 2505)(1186, 2506)(1187, 2507)(1188, 2508)(1189, 2509)(1190, 2510)(1191, 2511)(1192, 2512)(1193, 2513)(1194, 2514)(1195, 2515)(1196, 2516)(1197, 2517)(1198, 2518)(1199, 2519)(1200, 2520)(1201, 2521)(1202, 2522)(1203, 2523)(1204, 2524)(1205, 2525)(1206, 2526)(1207, 2527)(1208, 2528)(1209, 2529)(1210, 2530)(1211, 2531)(1212, 2532)(1213, 2533)(1214, 2534)(1215, 2535)(1216, 2536)(1217, 2537)(1218, 2538)(1219, 2539)(1220, 2540)(1221, 2541)(1222, 2542)(1223, 2543)(1224, 2544)(1225, 2545)(1226, 2546)(1227, 2547)(1228, 2548)(1229, 2549)(1230, 2550)(1231, 2551)(1232, 2552)(1233, 2553)(1234, 2554)(1235, 2555)(1236, 2556)(1237, 2557)(1238, 2558)(1239, 2559)(1240, 2560)(1241, 2561)(1242, 2562)(1243, 2563)(1244, 2564)(1245, 2565)(1246, 2566)(1247, 2567)(1248, 2568)(1249, 2569)(1250, 2570)(1251, 2571)(1252, 2572)(1253, 2573)(1254, 2574)(1255, 2575)(1256, 2576)(1257, 2577)(1258, 2578)(1259, 2579)(1260, 2580)(1261, 2581)(1262, 2582)(1263, 2583)(1264, 2584)(1265, 2585)(1266, 2586)(1267, 2587)(1268, 2588)(1269, 2589)(1270, 2590)(1271, 2591)(1272, 2592)(1273, 2593)(1274, 2594)(1275, 2595)(1276, 2596)(1277, 2597)(1278, 2598)(1279, 2599)(1280, 2600)(1281, 2601)(1282, 2602)(1283, 2603)(1284, 2604)(1285, 2605)(1286, 2606)(1287, 2607)(1288, 2608)(1289, 2609)(1290, 2610)(1291, 2611)(1292, 2612)(1293, 2613)(1294, 2614)(1295, 2615)(1296, 2616)(1297, 2617)(1298, 2618)(1299, 2619)(1300, 2620)(1301, 2621)(1302, 2622)(1303, 2623)(1304, 2624)(1305, 2625)(1306, 2626)(1307, 2627)(1308, 2628)(1309, 2629)(1310, 2630)(1311, 2631)(1312, 2632)(1313, 2633)(1314, 2634)(1315, 2635)(1316, 2636)(1317, 2637)(1318, 2638)(1319, 2639)(1320, 2640)
	local type(s) :: { ( 6, 22 ), ( 6, 22, 6, 22 ) }
Outer automorphisms :: reflexible
Dual of E26.1539
Graph:: simple bipartite
	v = 990 e = 1320 f = 280
	degree seq :: [ 2^660, 4^330 ]

E26.1541 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 11})
Quotient :: dipole
Aut^+ = $<660, 13>$ (small group id <660, 13>)
Aut   = $<1320, 133>$ (small group id <1320, 133>)
|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)^3, Y1^11, (Y1^3 * Y3 * Y1^-3 * Y3)^2, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1^-3 * Y3 * Y1^-2, Y1^3 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^3 * Y3 * Y1^-1 * Y3, (Y3 * Y1^2 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^-1)^2, (Y1^-1 * Y3 * Y1^5 * Y3 * Y1^-3)^2 ]
Map:: polytopal
	R = (1, 661, 2, 662, 5, 665, 11, 671, 21, 681, 37, 697, 62, 722, 36, 696, 20, 680, 10, 670, 4, 664)(3, 663, 7, 667, 15, 675, 27, 687, 47, 707, 78, 738, 90, 750, 54, 714, 31, 691, 17, 677, 8, 668)(6, 666, 13, 673, 25, 685, 43, 703, 72, 732, 117, 777, 126, 786, 77, 737, 46, 706, 26, 686, 14, 674)(9, 669, 18, 678, 32, 692, 55, 715, 91, 751, 146, 806, 138, 798, 85, 745, 51, 711, 29, 689, 16, 676)(12, 672, 23, 683, 41, 701, 68, 728, 111, 771, 177, 837, 186, 846, 116, 776, 71, 731, 42, 702, 24, 684)(19, 679, 34, 694, 58, 718, 96, 756, 154, 814, 240, 900, 239, 899, 153, 813, 95, 755, 57, 717, 33, 693)(22, 682, 39, 699, 66, 726, 107, 767, 171, 831, 265, 925, 273, 933, 176, 836, 110, 770, 67, 727, 40, 700)(28, 688, 49, 709, 82, 742, 132, 792, 208, 868, 316, 976, 324, 984, 213, 873, 135, 795, 83, 743, 50, 710)(30, 690, 52, 712, 86, 746, 139, 799, 218, 878, 331, 991, 296, 956, 193, 853, 121, 781, 74, 734, 44, 704)(35, 695, 60, 720, 99, 759, 159, 819, 247, 907, 370, 1030, 369, 1029, 246, 906, 158, 818, 98, 758, 59, 719)(38, 698, 64, 724, 105, 765, 167, 827, 259, 919, 387, 1047, 395, 1055, 264, 924, 170, 830, 106, 766, 65, 725)(45, 705, 75, 735, 122, 782, 194, 854, 297, 957, 438, 1098, 417, 1077, 280, 940, 181, 841, 113, 773, 69, 729)(48, 708, 80, 740, 130, 790, 205, 865, 313, 973, 459, 1119, 405, 1065, 271, 931, 175, 835, 131, 791, 81, 741)(53, 713, 88, 748, 142, 802, 223, 883, 338, 998, 489, 1149, 488, 1148, 337, 997, 222, 882, 141, 801, 87, 747)(56, 716, 93, 753, 150, 810, 233, 893, 351, 1011, 506, 1166, 510, 1170, 355, 1015, 236, 896, 151, 811, 94, 754)(61, 721, 101, 761, 162, 822, 251, 911, 375, 1035, 536, 1196, 535, 1195, 374, 1034, 250, 910, 161, 821, 100, 760)(63, 723, 103, 763, 165, 825, 255, 915, 381, 1041, 484, 1144, 547, 1207, 386, 1046, 258, 918, 166, 826, 104, 764)(70, 730, 114, 774, 182, 842, 281, 941, 418, 1078, 568, 1228, 464, 1124, 402, 1062, 269, 929, 173, 833, 108, 768)(73, 733, 119, 779, 190, 850, 291, 951, 432, 1092, 580, 1240, 552, 1212, 393, 1053, 263, 923, 191, 851, 120, 780)(76, 736, 124, 784, 197, 857, 155, 815, 242, 902, 362, 1022, 519, 1179, 444, 1104, 301, 961, 196, 856, 123, 783)(79, 739, 128, 788, 203, 863, 309, 969, 454, 1114, 414, 1074, 546, 1206, 458, 1118, 312, 972, 204, 864, 129, 789)(84, 744, 136, 796, 214, 874, 325, 985, 474, 1134, 611, 1271, 607, 1267, 468, 1128, 320, 980, 210, 870, 133, 793)(89, 749, 144, 804, 226, 886, 298, 958, 440, 1100, 587, 1247, 512, 1172, 493, 1153, 341, 1001, 225, 885, 143, 803)(92, 752, 148, 808, 232, 892, 349, 1009, 503, 1163, 422, 1082, 283, 943, 183, 843, 115, 775, 184, 844, 149, 809)(97, 757, 156, 816, 243, 903, 363, 1023, 521, 1181, 437, 1097, 584, 1244, 523, 1183, 366, 1026, 244, 904, 157, 817)(102, 762, 164, 824, 254, 914, 379, 1039, 541, 1201, 588, 1248, 470, 1130, 540, 1200, 378, 1038, 253, 913, 163, 823)(109, 769, 174, 834, 270, 930, 403, 1063, 558, 1218, 482, 1142, 332, 992, 478, 1138, 391, 1051, 261, 921, 168, 828)(112, 772, 179, 839, 277, 937, 412, 1072, 567, 1227, 622, 1282, 641, 1301, 545, 1205, 385, 1045, 278, 938, 180, 840)(118, 778, 188, 848, 289, 949, 429, 1089, 578, 1238, 557, 1217, 471, 1131, 322, 982, 212, 872, 290, 950, 189, 849)(125, 785, 199, 859, 304, 964, 419, 1079, 570, 1230, 476, 1136, 326, 986, 475, 1135, 446, 1106, 303, 963, 198, 858)(127, 787, 201, 861, 307, 967, 450, 1110, 520, 1180, 365, 1025, 522, 1182, 554, 1214, 453, 1113, 308, 968, 202, 862)(134, 794, 211, 871, 321, 981, 469, 1129, 565, 1225, 409, 1069, 274, 934, 408, 1068, 463, 1123, 315, 975, 206, 866)(137, 797, 216, 876, 328, 988, 219, 879, 333, 993, 483, 1143, 617, 1277, 613, 1273, 477, 1137, 327, 987, 215, 875)(140, 800, 220, 880, 334, 994, 401, 1061, 514, 1174, 359, 1019, 515, 1175, 618, 1278, 485, 1145, 335, 995, 221, 881)(145, 805, 228, 888, 344, 1004, 496, 1156, 571, 1231, 421, 1081, 282, 942, 420, 1080, 495, 1155, 343, 1003, 227, 887)(147, 807, 230, 890, 347, 1007, 500, 1160, 430, 1090, 293, 953, 394, 1054, 553, 1213, 502, 1162, 348, 1008, 231, 891)(152, 812, 237, 897, 356, 1016, 511, 1171, 635, 1295, 657, 1317, 603, 1263, 582, 1242, 433, 1093, 353, 1013, 234, 894)(160, 820, 248, 908, 371, 1031, 529, 1189, 431, 1091, 323, 983, 472, 1132, 608, 1268, 532, 1192, 372, 1032, 249, 909)(169, 829, 262, 922, 392, 1052, 550, 1210, 643, 1303, 586, 1246, 439, 1099, 342, 1002, 494, 1154, 383, 1043, 256, 916)(172, 832, 267, 927, 399, 1059, 336, 996, 486, 1146, 619, 1279, 597, 1257, 640, 1300, 539, 1199, 400, 1060, 268, 928)(178, 838, 275, 935, 410, 1070, 566, 1226, 649, 1309, 639, 1299, 534, 1194, 436, 1096, 295, 955, 411, 1071, 276, 936)(185, 845, 285, 945, 424, 1084, 559, 1219, 491, 1151, 340, 1000, 224, 884, 339, 999, 490, 1150, 423, 1083, 284, 944)(187, 847, 287, 947, 427, 1087, 505, 1165, 350, 1010, 235, 895, 354, 1014, 509, 1169, 577, 1237, 428, 1088, 288, 948)(192, 852, 294, 954, 435, 1095, 583, 1243, 645, 1305, 555, 1215, 396, 1056, 508, 1168, 352, 1012, 434, 1094, 292, 952)(195, 855, 299, 959, 441, 1101, 479, 1139, 329, 989, 217, 877, 330, 990, 480, 1140, 589, 1249, 442, 1102, 300, 960)(200, 860, 306, 966, 449, 1109, 595, 1255, 528, 1188, 561, 1221, 404, 1064, 560, 1220, 594, 1254, 448, 1108, 305, 965)(207, 867, 272, 932, 406, 1066, 562, 1222, 518, 1178, 361, 1021, 241, 901, 302, 962, 445, 1105, 456, 1116, 310, 970)(209, 869, 318, 978, 413, 1073, 279, 939, 415, 1075, 527, 1187, 638, 1298, 658, 1318, 599, 1259, 467, 1127, 319, 979)(229, 889, 345, 1005, 498, 1158, 628, 1288, 623, 1283, 531, 1191, 563, 1223, 407, 1067, 564, 1224, 499, 1159, 346, 1006)(238, 898, 358, 1018, 466, 1126, 317, 977, 465, 1125, 388, 1048, 548, 1208, 642, 1302, 636, 1296, 513, 1173, 357, 1017)(245, 905, 367, 1027, 524, 1184, 382, 1042, 543, 1203, 626, 1286, 572, 1232, 462, 1122, 314, 974, 461, 1121, 364, 1024)(252, 912, 376, 1036, 537, 1197, 451, 1111, 311, 971, 457, 1117, 602, 1262, 647, 1307, 573, 1233, 538, 1198, 377, 1037)(257, 917, 384, 1044, 544, 1204, 501, 1161, 631, 1291, 650, 1310, 569, 1229, 447, 1107, 593, 1253, 542, 1202, 380, 1040)(260, 920, 389, 1049, 549, 1209, 443, 1103, 590, 1250, 504, 1164, 633, 1293, 530, 1190, 373, 1033, 533, 1193, 390, 1050)(266, 926, 397, 1057, 556, 1216, 646, 1306, 637, 1297, 525, 1185, 368, 1028, 526, 1186, 416, 1076, 507, 1167, 398, 1058)(286, 946, 426, 1086, 575, 1235, 517, 1177, 360, 1020, 516, 1176, 551, 1211, 644, 1304, 651, 1311, 574, 1234, 425, 1085)(452, 1112, 598, 1258, 596, 1256, 576, 1236, 653, 1313, 652, 1312, 648, 1308, 614, 1274, 629, 1289, 627, 1287, 497, 1157)(455, 1115, 600, 1260, 592, 1252, 612, 1272, 654, 1314, 579, 1239, 630, 1290, 624, 1284, 492, 1152, 625, 1285, 601, 1261)(460, 1120, 604, 1264, 632, 1292, 656, 1316, 591, 1251, 620, 1280, 487, 1147, 621, 1281, 606, 1266, 581, 1241, 605, 1265)(473, 1133, 610, 1270, 660, 1320, 616, 1276, 481, 1141, 615, 1275, 659, 1319, 634, 1294, 585, 1245, 655, 1315, 609, 1269)(1321, 1981)(1322, 1982)(1323, 1983)(1324, 1984)(1325, 1985)(1326, 1986)(1327, 1987)(1328, 1988)(1329, 1989)(1330, 1990)(1331, 1991)(1332, 1992)(1333, 1993)(1334, 1994)(1335, 1995)(1336, 1996)(1337, 1997)(1338, 1998)(1339, 1999)(1340, 2000)(1341, 2001)(1342, 2002)(1343, 2003)(1344, 2004)(1345, 2005)(1346, 2006)(1347, 2007)(1348, 2008)(1349, 2009)(1350, 2010)(1351, 2011)(1352, 2012)(1353, 2013)(1354, 2014)(1355, 2015)(1356, 2016)(1357, 2017)(1358, 2018)(1359, 2019)(1360, 2020)(1361, 2021)(1362, 2022)(1363, 2023)(1364, 2024)(1365, 2025)(1366, 2026)(1367, 2027)(1368, 2028)(1369, 2029)(1370, 2030)(1371, 2031)(1372, 2032)(1373, 2033)(1374, 2034)(1375, 2035)(1376, 2036)(1377, 2037)(1378, 2038)(1379, 2039)(1380, 2040)(1381, 2041)(1382, 2042)(1383, 2043)(1384, 2044)(1385, 2045)(1386, 2046)(1387, 2047)(1388, 2048)(1389, 2049)(1390, 2050)(1391, 2051)(1392, 2052)(1393, 2053)(1394, 2054)(1395, 2055)(1396, 2056)(1397, 2057)(1398, 2058)(1399, 2059)(1400, 2060)(1401, 2061)(1402, 2062)(1403, 2063)(1404, 2064)(1405, 2065)(1406, 2066)(1407, 2067)(1408, 2068)(1409, 2069)(1410, 2070)(1411, 2071)(1412, 2072)(1413, 2073)(1414, 2074)(1415, 2075)(1416, 2076)(1417, 2077)(1418, 2078)(1419, 2079)(1420, 2080)(1421, 2081)(1422, 2082)(1423, 2083)(1424, 2084)(1425, 2085)(1426, 2086)(1427, 2087)(1428, 2088)(1429, 2089)(1430, 2090)(1431, 2091)(1432, 2092)(1433, 2093)(1434, 2094)(1435, 2095)(1436, 2096)(1437, 2097)(1438, 2098)(1439, 2099)(1440, 2100)(1441, 2101)(1442, 2102)(1443, 2103)(1444, 2104)(1445, 2105)(1446, 2106)(1447, 2107)(1448, 2108)(1449, 2109)(1450, 2110)(1451, 2111)(1452, 2112)(1453, 2113)(1454, 2114)(1455, 2115)(1456, 2116)(1457, 2117)(1458, 2118)(1459, 2119)(1460, 2120)(1461, 2121)(1462, 2122)(1463, 2123)(1464, 2124)(1465, 2125)(1466, 2126)(1467, 2127)(1468, 2128)(1469, 2129)(1470, 2130)(1471, 2131)(1472, 2132)(1473, 2133)(1474, 2134)(1475, 2135)(1476, 2136)(1477, 2137)(1478, 2138)(1479, 2139)(1480, 2140)(1481, 2141)(1482, 2142)(1483, 2143)(1484, 2144)(1485, 2145)(1486, 2146)(1487, 2147)(1488, 2148)(1489, 2149)(1490, 2150)(1491, 2151)(1492, 2152)(1493, 2153)(1494, 2154)(1495, 2155)(1496, 2156)(1497, 2157)(1498, 2158)(1499, 2159)(1500, 2160)(1501, 2161)(1502, 2162)(1503, 2163)(1504, 2164)(1505, 2165)(1506, 2166)(1507, 2167)(1508, 2168)(1509, 2169)(1510, 2170)(1511, 2171)(1512, 2172)(1513, 2173)(1514, 2174)(1515, 2175)(1516, 2176)(1517, 2177)(1518, 2178)(1519, 2179)(1520, 2180)(1521, 2181)(1522, 2182)(1523, 2183)(1524, 2184)(1525, 2185)(1526, 2186)(1527, 2187)(1528, 2188)(1529, 2189)(1530, 2190)(1531, 2191)(1532, 2192)(1533, 2193)(1534, 2194)(1535, 2195)(1536, 2196)(1537, 2197)(1538, 2198)(1539, 2199)(1540, 2200)(1541, 2201)(1542, 2202)(1543, 2203)(1544, 2204)(1545, 2205)(1546, 2206)(1547, 2207)(1548, 2208)(1549, 2209)(1550, 2210)(1551, 2211)(1552, 2212)(1553, 2213)(1554, 2214)(1555, 2215)(1556, 2216)(1557, 2217)(1558, 2218)(1559, 2219)(1560, 2220)(1561, 2221)(1562, 2222)(1563, 2223)(1564, 2224)(1565, 2225)(1566, 2226)(1567, 2227)(1568, 2228)(1569, 2229)(1570, 2230)(1571, 2231)(1572, 2232)(1573, 2233)(1574, 2234)(1575, 2235)(1576, 2236)(1577, 2237)(1578, 2238)(1579, 2239)(1580, 2240)(1581, 2241)(1582, 2242)(1583, 2243)(1584, 2244)(1585, 2245)(1586, 2246)(1587, 2247)(1588, 2248)(1589, 2249)(1590, 2250)(1591, 2251)(1592, 2252)(1593, 2253)(1594, 2254)(1595, 2255)(1596, 2256)(1597, 2257)(1598, 2258)(1599, 2259)(1600, 2260)(1601, 2261)(1602, 2262)(1603, 2263)(1604, 2264)(1605, 2265)(1606, 2266)(1607, 2267)(1608, 2268)(1609, 2269)(1610, 2270)(1611, 2271)(1612, 2272)(1613, 2273)(1614, 2274)(1615, 2275)(1616, 2276)(1617, 2277)(1618, 2278)(1619, 2279)(1620, 2280)(1621, 2281)(1622, 2282)(1623, 2283)(1624, 2284)(1625, 2285)(1626, 2286)(1627, 2287)(1628, 2288)(1629, 2289)(1630, 2290)(1631, 2291)(1632, 2292)(1633, 2293)(1634, 2294)(1635, 2295)(1636, 2296)(1637, 2297)(1638, 2298)(1639, 2299)(1640, 2300)(1641, 2301)(1642, 2302)(1643, 2303)(1644, 2304)(1645, 2305)(1646, 2306)(1647, 2307)(1648, 2308)(1649, 2309)(1650, 2310)(1651, 2311)(1652, 2312)(1653, 2313)(1654, 2314)(1655, 2315)(1656, 2316)(1657, 2317)(1658, 2318)(1659, 2319)(1660, 2320)(1661, 2321)(1662, 2322)(1663, 2323)(1664, 2324)(1665, 2325)(1666, 2326)(1667, 2327)(1668, 2328)(1669, 2329)(1670, 2330)(1671, 2331)(1672, 2332)(1673, 2333)(1674, 2334)(1675, 2335)(1676, 2336)(1677, 2337)(1678, 2338)(1679, 2339)(1680, 2340)(1681, 2341)(1682, 2342)(1683, 2343)(1684, 2344)(1685, 2345)(1686, 2346)(1687, 2347)(1688, 2348)(1689, 2349)(1690, 2350)(1691, 2351)(1692, 2352)(1693, 2353)(1694, 2354)(1695, 2355)(1696, 2356)(1697, 2357)(1698, 2358)(1699, 2359)(1700, 2360)(1701, 2361)(1702, 2362)(1703, 2363)(1704, 2364)(1705, 2365)(1706, 2366)(1707, 2367)(1708, 2368)(1709, 2369)(1710, 2370)(1711, 2371)(1712, 2372)(1713, 2373)(1714, 2374)(1715, 2375)(1716, 2376)(1717, 2377)(1718, 2378)(1719, 2379)(1720, 2380)(1721, 2381)(1722, 2382)(1723, 2383)(1724, 2384)(1725, 2385)(1726, 2386)(1727, 2387)(1728, 2388)(1729, 2389)(1730, 2390)(1731, 2391)(1732, 2392)(1733, 2393)(1734, 2394)(1735, 2395)(1736, 2396)(1737, 2397)(1738, 2398)(1739, 2399)(1740, 2400)(1741, 2401)(1742, 2402)(1743, 2403)(1744, 2404)(1745, 2405)(1746, 2406)(1747, 2407)(1748, 2408)(1749, 2409)(1750, 2410)(1751, 2411)(1752, 2412)(1753, 2413)(1754, 2414)(1755, 2415)(1756, 2416)(1757, 2417)(1758, 2418)(1759, 2419)(1760, 2420)(1761, 2421)(1762, 2422)(1763, 2423)(1764, 2424)(1765, 2425)(1766, 2426)(1767, 2427)(1768, 2428)(1769, 2429)(1770, 2430)(1771, 2431)(1772, 2432)(1773, 2433)(1774, 2434)(1775, 2435)(1776, 2436)(1777, 2437)(1778, 2438)(1779, 2439)(1780, 2440)(1781, 2441)(1782, 2442)(1783, 2443)(1784, 2444)(1785, 2445)(1786, 2446)(1787, 2447)(1788, 2448)(1789, 2449)(1790, 2450)(1791, 2451)(1792, 2452)(1793, 2453)(1794, 2454)(1795, 2455)(1796, 2456)(1797, 2457)(1798, 2458)(1799, 2459)(1800, 2460)(1801, 2461)(1802, 2462)(1803, 2463)(1804, 2464)(1805, 2465)(1806, 2466)(1807, 2467)(1808, 2468)(1809, 2469)(1810, 2470)(1811, 2471)(1812, 2472)(1813, 2473)(1814, 2474)(1815, 2475)(1816, 2476)(1817, 2477)(1818, 2478)(1819, 2479)(1820, 2480)(1821, 2481)(1822, 2482)(1823, 2483)(1824, 2484)(1825, 2485)(1826, 2486)(1827, 2487)(1828, 2488)(1829, 2489)(1830, 2490)(1831, 2491)(1832, 2492)(1833, 2493)(1834, 2494)(1835, 2495)(1836, 2496)(1837, 2497)(1838, 2498)(1839, 2499)(1840, 2500)(1841, 2501)(1842, 2502)(1843, 2503)(1844, 2504)(1845, 2505)(1846, 2506)(1847, 2507)(1848, 2508)(1849, 2509)(1850, 2510)(1851, 2511)(1852, 2512)(1853, 2513)(1854, 2514)(1855, 2515)(1856, 2516)(1857, 2517)(1858, 2518)(1859, 2519)(1860, 2520)(1861, 2521)(1862, 2522)(1863, 2523)(1864, 2524)(1865, 2525)(1866, 2526)(1867, 2527)(1868, 2528)(1869, 2529)(1870, 2530)(1871, 2531)(1872, 2532)(1873, 2533)(1874, 2534)(1875, 2535)(1876, 2536)(1877, 2537)(1878, 2538)(1879, 2539)(1880, 2540)(1881, 2541)(1882, 2542)(1883, 2543)(1884, 2544)(1885, 2545)(1886, 2546)(1887, 2547)(1888, 2548)(1889, 2549)(1890, 2550)(1891, 2551)(1892, 2552)(1893, 2553)(1894, 2554)(1895, 2555)(1896, 2556)(1897, 2557)(1898, 2558)(1899, 2559)(1900, 2560)(1901, 2561)(1902, 2562)(1903, 2563)(1904, 2564)(1905, 2565)(1906, 2566)(1907, 2567)(1908, 2568)(1909, 2569)(1910, 2570)(1911, 2571)(1912, 2572)(1913, 2573)(1914, 2574)(1915, 2575)(1916, 2576)(1917, 2577)(1918, 2578)(1919, 2579)(1920, 2580)(1921, 2581)(1922, 2582)(1923, 2583)(1924, 2584)(1925, 2585)(1926, 2586)(1927, 2587)(1928, 2588)(1929, 2589)(1930, 2590)(1931, 2591)(1932, 2592)(1933, 2593)(1934, 2594)(1935, 2595)(1936, 2596)(1937, 2597)(1938, 2598)(1939, 2599)(1940, 2600)(1941, 2601)(1942, 2602)(1943, 2603)(1944, 2604)(1945, 2605)(1946, 2606)(1947, 2607)(1948, 2608)(1949, 2609)(1950, 2610)(1951, 2611)(1952, 2612)(1953, 2613)(1954, 2614)(1955, 2615)(1956, 2616)(1957, 2617)(1958, 2618)(1959, 2619)(1960, 2620)(1961, 2621)(1962, 2622)(1963, 2623)(1964, 2624)(1965, 2625)(1966, 2626)(1967, 2627)(1968, 2628)(1969, 2629)(1970, 2630)(1971, 2631)(1972, 2632)(1973, 2633)(1974, 2634)(1975, 2635)(1976, 2636)(1977, 2637)(1978, 2638)(1979, 2639)(1980, 2640)
	L = (1, 1323)(2, 1326)(3, 1321)(4, 1329)(5, 1332)(6, 1322)(7, 1336)(8, 1333)(9, 1324)(10, 1339)(11, 1342)(12, 1325)(13, 1328)(14, 1343)(15, 1348)(16, 1327)(17, 1350)(18, 1353)(19, 1330)(20, 1355)(21, 1358)(22, 1331)(23, 1334)(24, 1359)(25, 1364)(26, 1365)(27, 1368)(28, 1335)(29, 1369)(30, 1337)(31, 1373)(32, 1376)(33, 1338)(34, 1379)(35, 1340)(36, 1381)(37, 1383)(38, 1341)(39, 1344)(40, 1384)(41, 1389)(42, 1390)(43, 1393)(44, 1345)(45, 1346)(46, 1396)(47, 1399)(48, 1347)(49, 1349)(50, 1400)(51, 1404)(52, 1407)(53, 1351)(54, 1409)(55, 1412)(56, 1352)(57, 1413)(58, 1417)(59, 1354)(60, 1420)(61, 1356)(62, 1422)(63, 1357)(64, 1360)(65, 1423)(66, 1428)(67, 1429)(68, 1432)(69, 1361)(70, 1362)(71, 1435)(72, 1438)(73, 1363)(74, 1439)(75, 1443)(76, 1366)(77, 1445)(78, 1447)(79, 1367)(80, 1370)(81, 1448)(82, 1453)(83, 1454)(84, 1371)(85, 1457)(86, 1460)(87, 1372)(88, 1463)(89, 1374)(90, 1465)(91, 1467)(92, 1375)(93, 1377)(94, 1468)(95, 1472)(96, 1475)(97, 1378)(98, 1476)(99, 1480)(100, 1380)(101, 1483)(102, 1382)(103, 1385)(104, 1484)(105, 1488)(106, 1489)(107, 1492)(108, 1386)(109, 1387)(110, 1495)(111, 1498)(112, 1388)(113, 1499)(114, 1503)(115, 1391)(116, 1505)(117, 1507)(118, 1392)(119, 1394)(120, 1508)(121, 1512)(122, 1515)(123, 1395)(124, 1518)(125, 1397)(126, 1520)(127, 1398)(128, 1401)(129, 1521)(130, 1526)(131, 1527)(132, 1529)(133, 1402)(134, 1403)(135, 1532)(136, 1535)(137, 1405)(138, 1537)(139, 1539)(140, 1406)(141, 1540)(142, 1544)(143, 1408)(144, 1547)(145, 1410)(146, 1549)(147, 1411)(148, 1414)(149, 1550)(150, 1554)(151, 1555)(152, 1415)(153, 1558)(154, 1561)(155, 1416)(156, 1418)(157, 1562)(158, 1565)(159, 1543)(160, 1419)(161, 1568)(162, 1572)(163, 1421)(164, 1424)(165, 1576)(166, 1577)(167, 1580)(168, 1425)(169, 1426)(170, 1583)(171, 1586)(172, 1427)(173, 1587)(174, 1591)(175, 1430)(176, 1592)(177, 1594)(178, 1431)(179, 1433)(180, 1595)(181, 1599)(182, 1602)(183, 1434)(184, 1604)(185, 1436)(186, 1606)(187, 1437)(188, 1440)(189, 1607)(190, 1612)(191, 1613)(192, 1441)(193, 1615)(194, 1618)(195, 1442)(196, 1619)(197, 1622)(198, 1444)(199, 1625)(200, 1446)(201, 1449)(202, 1548)(203, 1630)(204, 1631)(205, 1634)(206, 1450)(207, 1451)(208, 1637)(209, 1452)(210, 1638)(211, 1642)(212, 1455)(213, 1643)(214, 1646)(215, 1456)(216, 1649)(217, 1458)(218, 1652)(219, 1459)(220, 1461)(221, 1653)(222, 1656)(223, 1479)(224, 1462)(225, 1659)(226, 1662)(227, 1464)(228, 1522)(229, 1466)(230, 1469)(231, 1665)(232, 1670)(233, 1672)(234, 1470)(235, 1471)(236, 1632)(237, 1677)(238, 1473)(239, 1679)(240, 1680)(241, 1474)(242, 1477)(243, 1684)(244, 1685)(245, 1478)(246, 1688)(247, 1660)(248, 1481)(249, 1658)(250, 1693)(251, 1645)(252, 1482)(253, 1696)(254, 1700)(255, 1702)(256, 1485)(257, 1486)(258, 1705)(259, 1708)(260, 1487)(261, 1709)(262, 1713)(263, 1490)(264, 1714)(265, 1716)(266, 1491)(267, 1493)(268, 1717)(269, 1721)(270, 1724)(271, 1494)(272, 1496)(273, 1727)(274, 1497)(275, 1500)(276, 1728)(277, 1733)(278, 1734)(279, 1501)(280, 1736)(281, 1739)(282, 1502)(283, 1740)(284, 1504)(285, 1745)(286, 1506)(287, 1509)(288, 1626)(289, 1750)(290, 1751)(291, 1753)(292, 1510)(293, 1511)(294, 1756)(295, 1513)(296, 1757)(297, 1759)(298, 1514)(299, 1516)(300, 1760)(301, 1763)(302, 1517)(303, 1765)(304, 1767)(305, 1519)(306, 1608)(307, 1771)(308, 1772)(309, 1775)(310, 1523)(311, 1524)(312, 1556)(313, 1780)(314, 1525)(315, 1781)(316, 1784)(317, 1528)(318, 1530)(319, 1785)(320, 1732)(321, 1790)(322, 1531)(323, 1533)(324, 1793)(325, 1571)(326, 1534)(327, 1795)(328, 1798)(329, 1536)(330, 1666)(331, 1801)(332, 1538)(333, 1541)(334, 1719)(335, 1804)(336, 1542)(337, 1807)(338, 1569)(339, 1545)(340, 1567)(341, 1812)(342, 1546)(343, 1814)(344, 1817)(345, 1551)(346, 1650)(347, 1743)(348, 1821)(349, 1824)(350, 1552)(351, 1827)(352, 1553)(353, 1754)(354, 1778)(355, 1777)(356, 1832)(357, 1557)(358, 1834)(359, 1559)(360, 1560)(361, 1836)(362, 1840)(363, 1783)(364, 1563)(365, 1564)(366, 1822)(367, 1845)(368, 1566)(369, 1847)(370, 1848)(371, 1850)(372, 1851)(373, 1570)(374, 1854)(375, 1796)(376, 1573)(377, 1794)(378, 1859)(379, 1831)(380, 1574)(381, 1803)(382, 1575)(383, 1863)(384, 1865)(385, 1578)(386, 1866)(387, 1787)(388, 1579)(389, 1581)(390, 1868)(391, 1799)(392, 1871)(393, 1582)(394, 1584)(395, 1874)(396, 1585)(397, 1588)(398, 1828)(399, 1654)(400, 1877)(401, 1589)(402, 1786)(403, 1879)(404, 1590)(405, 1880)(406, 1883)(407, 1593)(408, 1596)(409, 1746)(410, 1774)(411, 1841)(412, 1640)(413, 1597)(414, 1598)(415, 1846)(416, 1600)(417, 1826)(418, 1889)(419, 1601)(420, 1603)(421, 1890)(422, 1892)(423, 1667)(424, 1893)(425, 1605)(426, 1729)(427, 1849)(428, 1896)(429, 1899)(430, 1609)(431, 1610)(432, 1901)(433, 1611)(434, 1673)(435, 1855)(436, 1614)(437, 1616)(438, 1905)(439, 1617)(440, 1620)(441, 1869)(442, 1908)(443, 1621)(444, 1911)(445, 1623)(446, 1912)(447, 1624)(448, 1913)(449, 1916)(450, 1917)(451, 1627)(452, 1628)(453, 1919)(454, 1730)(455, 1629)(456, 1920)(457, 1675)(458, 1674)(459, 1923)(460, 1633)(461, 1635)(462, 1924)(463, 1683)(464, 1636)(465, 1639)(466, 1722)(467, 1707)(468, 1926)(469, 1909)(470, 1641)(471, 1860)(472, 1929)(473, 1644)(474, 1697)(475, 1647)(476, 1695)(477, 1932)(478, 1648)(479, 1711)(480, 1934)(481, 1651)(482, 1935)(483, 1701)(484, 1655)(485, 1897)(486, 1940)(487, 1657)(488, 1942)(489, 1943)(490, 1944)(491, 1881)(492, 1661)(493, 1833)(494, 1663)(495, 1946)(496, 1903)(497, 1664)(498, 1864)(499, 1949)(500, 1950)(501, 1668)(502, 1686)(503, 1952)(504, 1669)(505, 1953)(506, 1737)(507, 1671)(508, 1718)(509, 1867)(510, 1954)(511, 1699)(512, 1676)(513, 1813)(514, 1678)(515, 1837)(516, 1681)(517, 1835)(518, 1870)(519, 1939)(520, 1682)(521, 1731)(522, 1873)(523, 1951)(524, 1937)(525, 1687)(526, 1735)(527, 1689)(528, 1690)(529, 1747)(530, 1691)(531, 1692)(532, 1882)(533, 1959)(534, 1694)(535, 1755)(536, 1891)(537, 1960)(538, 1894)(539, 1698)(540, 1791)(541, 1907)(542, 1955)(543, 1703)(544, 1818)(545, 1704)(546, 1706)(547, 1829)(548, 1710)(549, 1761)(550, 1838)(551, 1712)(552, 1964)(553, 1842)(554, 1715)(555, 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	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 E26.1538
Graph:: simple bipartite
	v = 720 e = 1320 f = 550
	degree seq :: [ 2^660, 22^60 ]

E26.1542 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 11})
Quotient :: dipole
Aut^+ = $<660, 13>$ (small group id <660, 13>)
Aut   = $<1320, 133>$ (small group id <1320, 133>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1)^3, (Y3 * Y2^-1)^3, (R * Y2^-3 * Y1)^2, Y2^11, (Y2^-1 * Y1 * Y2^3 * Y1 * Y2^-2)^2, Y2^2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1, Y1 * Y2^-3 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-3, Y1 * Y2^2 * Y1 * Y2^-3 * Y1 * Y2^-2 * Y1 * Y2^4 * Y1 * Y2^5, Y2^3 * Y1 * Y2^3 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1, (Y2^-1 * Y1 * Y2^5 * Y1 * Y2^-3)^2 ]
Map::
	R = (1, 661, 2, 662)(3, 663, 7, 667)(4, 664, 9, 669)(5, 665, 11, 671)(6, 666, 13, 673)(8, 668, 16, 676)(10, 670, 19, 679)(12, 672, 22, 682)(14, 674, 25, 685)(15, 675, 27, 687)(17, 677, 30, 690)(18, 678, 32, 692)(20, 680, 35, 695)(21, 681, 37, 697)(23, 683, 40, 700)(24, 684, 42, 702)(26, 686, 45, 705)(28, 688, 48, 708)(29, 689, 50, 710)(31, 691, 53, 713)(33, 693, 56, 716)(34, 694, 58, 718)(36, 696, 61, 721)(38, 698, 64, 724)(39, 699, 66, 726)(41, 701, 69, 729)(43, 703, 72, 732)(44, 704, 74, 734)(46, 706, 77, 737)(47, 707, 79, 739)(49, 709, 82, 742)(51, 711, 85, 745)(52, 712, 87, 747)(54, 714, 90, 750)(55, 715, 91, 751)(57, 717, 94, 754)(59, 719, 97, 757)(60, 720, 99, 759)(62, 722, 102, 762)(63, 723, 103, 763)(65, 725, 106, 766)(67, 727, 109, 769)(68, 728, 111, 771)(70, 730, 114, 774)(71, 731, 115, 775)(73, 733, 118, 778)(75, 735, 121, 781)(76, 736, 123, 783)(78, 738, 126, 786)(80, 740, 128, 788)(81, 741, 130, 790)(83, 743, 133, 793)(84, 744, 135, 795)(86, 746, 138, 798)(88, 748, 141, 801)(89, 749, 143, 803)(92, 752, 147, 807)(93, 753, 149, 809)(95, 755, 152, 812)(96, 756, 154, 814)(98, 758, 157, 817)(100, 760, 160, 820)(101, 761, 162, 822)(104, 764, 166, 826)(105, 765, 168, 828)(107, 767, 171, 831)(108, 768, 172, 832)(110, 770, 175, 835)(112, 772, 178, 838)(113, 773, 180, 840)(116, 776, 184, 844)(117, 777, 186, 846)(119, 779, 189, 849)(120, 780, 190, 850)(122, 782, 193, 853)(124, 784, 196, 856)(125, 785, 198, 858)(127, 787, 201, 861)(129, 789, 204, 864)(131, 791, 207, 867)(132, 792, 209, 869)(134, 794, 212, 872)(136, 796, 214, 874)(137, 797, 216, 876)(139, 799, 219, 879)(140, 800, 221, 881)(142, 802, 179, 839)(144, 804, 226, 886)(145, 805, 164, 824)(146, 806, 229, 889)(148, 808, 232, 892)(150, 810, 235, 895)(151, 811, 237, 897)(153, 813, 239, 899)(155, 815, 241, 901)(156, 816, 243, 903)(158, 818, 245, 905)(159, 819, 247, 907)(161, 821, 197, 857)(163, 823, 252, 912)(165, 825, 255, 915)(167, 827, 258, 918)(169, 829, 261, 921)(170, 830, 263, 923)(173, 833, 267, 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2237)(1491, 2151, 1585, 2245, 1714, 2374, 1873, 2533, 1782, 2442, 1636, 2296, 1527, 2187, 1634, 2294, 1779, 2439, 1712, 2372, 1583, 2243)(1498, 2158, 1596, 2256, 1729, 2389, 1887, 2547, 1846, 2506, 1688, 2348, 1565, 2225, 1639, 2299, 1784, 2444, 1726, 2386, 1594, 2254)(1504, 2164, 1604, 2264, 1741, 2401, 1897, 2557, 1971, 2631, 1938, 2598, 1794, 2454, 1818, 2478, 1666, 2326, 1737, 2397, 1602, 2262)(1509, 2169, 1610, 2270, 1748, 2408, 1826, 2486, 1672, 2332, 1555, 2215, 1674, 2334, 1829, 2489, 1904, 2564, 1749, 2409, 1611, 2271)(1516, 2176, 1619, 2279, 1760, 2420, 1799, 2459, 1651, 2311, 1539, 2199, 1652, 2312, 1801, 2461, 1918, 2578, 1763, 2423, 1621, 2281)(1524, 2184, 1630, 2290, 1774, 2434, 1925, 2585, 1975, 2635, 1959, 2619, 1851, 2511, 1740, 2400, 1605, 2265, 1742, 2402, 1632, 2292)(1532, 2192, 1642, 2302, 1789, 2449, 1936, 2596, 1855, 2515, 1917, 2577, 1808, 2468, 1888, 2548, 1933, 2593, 1786, 2446, 1640, 2300)(1534, 2194, 1643, 2303, 1750, 2410, 1613, 2273, 1752, 2412, 1906, 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	L = (1, 1322)(2, 1321)(3, 1327)(4, 1329)(5, 1331)(6, 1333)(7, 1323)(8, 1336)(9, 1324)(10, 1339)(11, 1325)(12, 1342)(13, 1326)(14, 1345)(15, 1347)(16, 1328)(17, 1350)(18, 1352)(19, 1330)(20, 1355)(21, 1357)(22, 1332)(23, 1360)(24, 1362)(25, 1334)(26, 1365)(27, 1335)(28, 1368)(29, 1370)(30, 1337)(31, 1373)(32, 1338)(33, 1376)(34, 1378)(35, 1340)(36, 1381)(37, 1341)(38, 1384)(39, 1386)(40, 1343)(41, 1389)(42, 1344)(43, 1392)(44, 1394)(45, 1346)(46, 1397)(47, 1399)(48, 1348)(49, 1402)(50, 1349)(51, 1405)(52, 1407)(53, 1351)(54, 1410)(55, 1411)(56, 1353)(57, 1414)(58, 1354)(59, 1417)(60, 1419)(61, 1356)(62, 1422)(63, 1423)(64, 1358)(65, 1426)(66, 1359)(67, 1429)(68, 1431)(69, 1361)(70, 1434)(71, 1435)(72, 1363)(73, 1438)(74, 1364)(75, 1441)(76, 1443)(77, 1366)(78, 1446)(79, 1367)(80, 1448)(81, 1450)(82, 1369)(83, 1453)(84, 1455)(85, 1371)(86, 1458)(87, 1372)(88, 1461)(89, 1463)(90, 1374)(91, 1375)(92, 1467)(93, 1469)(94, 1377)(95, 1472)(96, 1474)(97, 1379)(98, 1477)(99, 1380)(100, 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1796)(556, 1894)(557, 1719)(558, 1792)(559, 1782)(560, 1964)(561, 1724)(562, 1967)(563, 1867)(564, 1726)(565, 1925)(566, 1729)(567, 1854)(568, 1730)(569, 1732)(570, 1969)(571, 1817)(572, 1961)(573, 1815)(574, 1876)(575, 1739)(576, 1865)(577, 1770)(578, 1914)(579, 1745)(580, 1937)(581, 1843)(582, 1972)(583, 1749)(584, 1757)(585, 1752)(586, 1842)(587, 1863)(588, 1754)(589, 1838)(590, 1829)(591, 1973)(592, 1758)(593, 1970)(594, 1898)(595, 1760)(596, 1948)(597, 1763)(598, 1809)(599, 1764)(600, 1766)(601, 1966)(602, 1862)(603, 1971)(604, 1860)(605, 1885)(606, 1816)(607, 1779)(608, 1976)(609, 1781)(610, 1783)(611, 1785)(612, 1786)(613, 1965)(614, 1798)(615, 1789)(616, 1958)(617, 1900)(618, 1943)(619, 1859)(620, 1801)(621, 1979)(622, 1805)(623, 1938)(624, 1811)(625, 1814)(626, 1846)(627, 1832)(628, 1916)(629, 1861)(630, 1826)(631, 1828)(632, 1830)(633, 1831)(634, 1974)(635, 1844)(636, 1835)(637, 1869)(638, 1936)(639, 1850)(640, 1856)(641, 1892)(642, 1978)(643, 1871)(644, 1880)(645, 1933)(646, 1921)(647, 1882)(648, 1977)(649, 1890)(650, 1913)(651, 1923)(652, 1902)(653, 1911)(654, 1954)(655, 1980)(656, 1928)(657, 1968)(658, 1962)(659, 1941)(660, 1975)(661, 1981)(662, 1982)(663, 1983)(664, 1984)(665, 1985)(666, 1986)(667, 1987)(668, 1988)(669, 1989)(670, 1990)(671, 1991)(672, 1992)(673, 1993)(674, 1994)(675, 1995)(676, 1996)(677, 1997)(678, 1998)(679, 1999)(680, 2000)(681, 2001)(682, 2002)(683, 2003)(684, 2004)(685, 2005)(686, 2006)(687, 2007)(688, 2008)(689, 2009)(690, 2010)(691, 2011)(692, 2012)(693, 2013)(694, 2014)(695, 2015)(696, 2016)(697, 2017)(698, 2018)(699, 2019)(700, 2020)(701, 2021)(702, 2022)(703, 2023)(704, 2024)(705, 2025)(706, 2026)(707, 2027)(708, 2028)(709, 2029)(710, 2030)(711, 2031)(712, 2032)(713, 2033)(714, 2034)(715, 2035)(716, 2036)(717, 2037)(718, 2038)(719, 2039)(720, 2040)(721, 2041)(722, 2042)(723, 2043)(724, 2044)(725, 2045)(726, 2046)(727, 2047)(728, 2048)(729, 2049)(730, 2050)(731, 2051)(732, 2052)(733, 2053)(734, 2054)(735, 2055)(736, 2056)(737, 2057)(738, 2058)(739, 2059)(740, 2060)(741, 2061)(742, 2062)(743, 2063)(744, 2064)(745, 2065)(746, 2066)(747, 2067)(748, 2068)(749, 2069)(750, 2070)(751, 2071)(752, 2072)(753, 2073)(754, 2074)(755, 2075)(756, 2076)(757, 2077)(758, 2078)(759, 2079)(760, 2080)(761, 2081)(762, 2082)(763, 2083)(764, 2084)(765, 2085)(766, 2086)(767, 2087)(768, 2088)(769, 2089)(770, 2090)(771, 2091)(772, 2092)(773, 2093)(774, 2094)(775, 2095)(776, 2096)(777, 2097)(778, 2098)(779, 2099)(780, 2100)(781, 2101)(782, 2102)(783, 2103)(784, 2104)(785, 2105)(786, 2106)(787, 2107)(788, 2108)(789, 2109)(790, 2110)(791, 2111)(792, 2112)(793, 2113)(794, 2114)(795, 2115)(796, 2116)(797, 2117)(798, 2118)(799, 2119)(800, 2120)(801, 2121)(802, 2122)(803, 2123)(804, 2124)(805, 2125)(806, 2126)(807, 2127)(808, 2128)(809, 2129)(810, 2130)(811, 2131)(812, 2132)(813, 2133)(814, 2134)(815, 2135)(816, 2136)(817, 2137)(818, 2138)(819, 2139)(820, 2140)(821, 2141)(822, 2142)(823, 2143)(824, 2144)(825, 2145)(826, 2146)(827, 2147)(828, 2148)(829, 2149)(830, 2150)(831, 2151)(832, 2152)(833, 2153)(834, 2154)(835, 2155)(836, 2156)(837, 2157)(838, 2158)(839, 2159)(840, 2160)(841, 2161)(842, 2162)(843, 2163)(844, 2164)(845, 2165)(846, 2166)(847, 2167)(848, 2168)(849, 2169)(850, 2170)(851, 2171)(852, 2172)(853, 2173)(854, 2174)(855, 2175)(856, 2176)(857, 2177)(858, 2178)(859, 2179)(860, 2180)(861, 2181)(862, 2182)(863, 2183)(864, 2184)(865, 2185)(866, 2186)(867, 2187)(868, 2188)(869, 2189)(870, 2190)(871, 2191)(872, 2192)(873, 2193)(874, 2194)(875, 2195)(876, 2196)(877, 2197)(878, 2198)(879, 2199)(880, 2200)(881, 2201)(882, 2202)(883, 2203)(884, 2204)(885, 2205)(886, 2206)(887, 2207)(888, 2208)(889, 2209)(890, 2210)(891, 2211)(892, 2212)(893, 2213)(894, 2214)(895, 2215)(896, 2216)(897, 2217)(898, 2218)(899, 2219)(900, 2220)(901, 2221)(902, 2222)(903, 2223)(904, 2224)(905, 2225)(906, 2226)(907, 2227)(908, 2228)(909, 2229)(910, 2230)(911, 2231)(912, 2232)(913, 2233)(914, 2234)(915, 2235)(916, 2236)(917, 2237)(918, 2238)(919, 2239)(920, 2240)(921, 2241)(922, 2242)(923, 2243)(924, 2244)(925, 2245)(926, 2246)(927, 2247)(928, 2248)(929, 2249)(930, 2250)(931, 2251)(932, 2252)(933, 2253)(934, 2254)(935, 2255)(936, 2256)(937, 2257)(938, 2258)(939, 2259)(940, 2260)(941, 2261)(942, 2262)(943, 2263)(944, 2264)(945, 2265)(946, 2266)(947, 2267)(948, 2268)(949, 2269)(950, 2270)(951, 2271)(952, 2272)(953, 2273)(954, 2274)(955, 2275)(956, 2276)(957, 2277)(958, 2278)(959, 2279)(960, 2280)(961, 2281)(962, 2282)(963, 2283)(964, 2284)(965, 2285)(966, 2286)(967, 2287)(968, 2288)(969, 2289)(970, 2290)(971, 2291)(972, 2292)(973, 2293)(974, 2294)(975, 2295)(976, 2296)(977, 2297)(978, 2298)(979, 2299)(980, 2300)(981, 2301)(982, 2302)(983, 2303)(984, 2304)(985, 2305)(986, 2306)(987, 2307)(988, 2308)(989, 2309)(990, 2310)(991, 2311)(992, 2312)(993, 2313)(994, 2314)(995, 2315)(996, 2316)(997, 2317)(998, 2318)(999, 2319)(1000, 2320)(1001, 2321)(1002, 2322)(1003, 2323)(1004, 2324)(1005, 2325)(1006, 2326)(1007, 2327)(1008, 2328)(1009, 2329)(1010, 2330)(1011, 2331)(1012, 2332)(1013, 2333)(1014, 2334)(1015, 2335)(1016, 2336)(1017, 2337)(1018, 2338)(1019, 2339)(1020, 2340)(1021, 2341)(1022, 2342)(1023, 2343)(1024, 2344)(1025, 2345)(1026, 2346)(1027, 2347)(1028, 2348)(1029, 2349)(1030, 2350)(1031, 2351)(1032, 2352)(1033, 2353)(1034, 2354)(1035, 2355)(1036, 2356)(1037, 2357)(1038, 2358)(1039, 2359)(1040, 2360)(1041, 2361)(1042, 2362)(1043, 2363)(1044, 2364)(1045, 2365)(1046, 2366)(1047, 2367)(1048, 2368)(1049, 2369)(1050, 2370)(1051, 2371)(1052, 2372)(1053, 2373)(1054, 2374)(1055, 2375)(1056, 2376)(1057, 2377)(1058, 2378)(1059, 2379)(1060, 2380)(1061, 2381)(1062, 2382)(1063, 2383)(1064, 2384)(1065, 2385)(1066, 2386)(1067, 2387)(1068, 2388)(1069, 2389)(1070, 2390)(1071, 2391)(1072, 2392)(1073, 2393)(1074, 2394)(1075, 2395)(1076, 2396)(1077, 2397)(1078, 2398)(1079, 2399)(1080, 2400)(1081, 2401)(1082, 2402)(1083, 2403)(1084, 2404)(1085, 2405)(1086, 2406)(1087, 2407)(1088, 2408)(1089, 2409)(1090, 2410)(1091, 2411)(1092, 2412)(1093, 2413)(1094, 2414)(1095, 2415)(1096, 2416)(1097, 2417)(1098, 2418)(1099, 2419)(1100, 2420)(1101, 2421)(1102, 2422)(1103, 2423)(1104, 2424)(1105, 2425)(1106, 2426)(1107, 2427)(1108, 2428)(1109, 2429)(1110, 2430)(1111, 2431)(1112, 2432)(1113, 2433)(1114, 2434)(1115, 2435)(1116, 2436)(1117, 2437)(1118, 2438)(1119, 2439)(1120, 2440)(1121, 2441)(1122, 2442)(1123, 2443)(1124, 2444)(1125, 2445)(1126, 2446)(1127, 2447)(1128, 2448)(1129, 2449)(1130, 2450)(1131, 2451)(1132, 2452)(1133, 2453)(1134, 2454)(1135, 2455)(1136, 2456)(1137, 2457)(1138, 2458)(1139, 2459)(1140, 2460)(1141, 2461)(1142, 2462)(1143, 2463)(1144, 2464)(1145, 2465)(1146, 2466)(1147, 2467)(1148, 2468)(1149, 2469)(1150, 2470)(1151, 2471)(1152, 2472)(1153, 2473)(1154, 2474)(1155, 2475)(1156, 2476)(1157, 2477)(1158, 2478)(1159, 2479)(1160, 2480)(1161, 2481)(1162, 2482)(1163, 2483)(1164, 2484)(1165, 2485)(1166, 2486)(1167, 2487)(1168, 2488)(1169, 2489)(1170, 2490)(1171, 2491)(1172, 2492)(1173, 2493)(1174, 2494)(1175, 2495)(1176, 2496)(1177, 2497)(1178, 2498)(1179, 2499)(1180, 2500)(1181, 2501)(1182, 2502)(1183, 2503)(1184, 2504)(1185, 2505)(1186, 2506)(1187, 2507)(1188, 2508)(1189, 2509)(1190, 2510)(1191, 2511)(1192, 2512)(1193, 2513)(1194, 2514)(1195, 2515)(1196, 2516)(1197, 2517)(1198, 2518)(1199, 2519)(1200, 2520)(1201, 2521)(1202, 2522)(1203, 2523)(1204, 2524)(1205, 2525)(1206, 2526)(1207, 2527)(1208, 2528)(1209, 2529)(1210, 2530)(1211, 2531)(1212, 2532)(1213, 2533)(1214, 2534)(1215, 2535)(1216, 2536)(1217, 2537)(1218, 2538)(1219, 2539)(1220, 2540)(1221, 2541)(1222, 2542)(1223, 2543)(1224, 2544)(1225, 2545)(1226, 2546)(1227, 2547)(1228, 2548)(1229, 2549)(1230, 2550)(1231, 2551)(1232, 2552)(1233, 2553)(1234, 2554)(1235, 2555)(1236, 2556)(1237, 2557)(1238, 2558)(1239, 2559)(1240, 2560)(1241, 2561)(1242, 2562)(1243, 2563)(1244, 2564)(1245, 2565)(1246, 2566)(1247, 2567)(1248, 2568)(1249, 2569)(1250, 2570)(1251, 2571)(1252, 2572)(1253, 2573)(1254, 2574)(1255, 2575)(1256, 2576)(1257, 2577)(1258, 2578)(1259, 2579)(1260, 2580)(1261, 2581)(1262, 2582)(1263, 2583)(1264, 2584)(1265, 2585)(1266, 2586)(1267, 2587)(1268, 2588)(1269, 2589)(1270, 2590)(1271, 2591)(1272, 2592)(1273, 2593)(1274, 2594)(1275, 2595)(1276, 2596)(1277, 2597)(1278, 2598)(1279, 2599)(1280, 2600)(1281, 2601)(1282, 2602)(1283, 2603)(1284, 2604)(1285, 2605)(1286, 2606)(1287, 2607)(1288, 2608)(1289, 2609)(1290, 2610)(1291, 2611)(1292, 2612)(1293, 2613)(1294, 2614)(1295, 2615)(1296, 2616)(1297, 2617)(1298, 2618)(1299, 2619)(1300, 2620)(1301, 2621)(1302, 2622)(1303, 2623)(1304, 2624)(1305, 2625)(1306, 2626)(1307, 2627)(1308, 2628)(1309, 2629)(1310, 2630)(1311, 2631)(1312, 2632)(1313, 2633)(1314, 2634)(1315, 2635)(1316, 2636)(1317, 2637)(1318, 2638)(1319, 2639)(1320, 2640)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1543
Graph:: bipartite
	v = 390 e = 1320 f = 880
	degree seq :: [ 4^330, 22^60 ]

E26.1543 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 11})
Quotient :: dipole
Aut^+ = $<660, 13>$ (small group id <660, 13>)
Aut   = $<1320, 133>$ (small group id <1320, 133>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^3, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^11, (Y3^2 * Y1^-1)^5, (Y3^3 * Y1^-1 * Y3^-3 * Y1)^2, Y3^3 * Y1^-1 * Y3^3 * Y1^-1 * Y3^-2 * Y1 * Y3^-3 * Y1 * Y3^-2 * Y1^-1, Y3^-3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-4 * Y1 * Y3^-1 * Y1^-1 * Y3^2 * Y1, (Y3^3 * Y1^-1)^5, Y3 * Y1^-1 * Y3^-3 * Y1 * Y3^-2 * Y1 * Y3^2 * Y1^-1 * Y3^-3 * Y1 * Y3^-3 * Y1^-1, Y3^2 * Y1^-1 * Y3^-2 * Y1 * Y3^3 * Y1^-1 * Y3^2 * Y1^-1 * Y3^-3 * Y1^-1 * Y3^2 * Y1^-1, (Y3 * Y2^-1)^11 ]
Map:: polytopal
	R = (1, 661, 2, 662, 4, 664)(3, 663, 8, 668, 10, 670)(5, 665, 12, 672, 6, 666)(7, 667, 15, 675, 11, 671)(9, 669, 18, 678, 20, 680)(13, 673, 25, 685, 23, 683)(14, 674, 24, 684, 28, 688)(16, 676, 31, 691, 29, 689)(17, 677, 33, 693, 21, 681)(19, 679, 36, 696, 38, 698)(22, 682, 30, 690, 42, 702)(26, 686, 47, 707, 45, 705)(27, 687, 49, 709, 51, 711)(32, 692, 57, 717, 55, 715)(34, 694, 61, 721, 59, 719)(35, 695, 63, 723, 39, 699)(37, 697, 66, 726, 68, 728)(40, 700, 60, 720, 72, 732)(41, 701, 73, 733, 75, 735)(43, 703, 46, 706, 78, 738)(44, 704, 79, 739, 52, 712)(48, 708, 85, 745, 83, 743)(50, 710, 88, 748, 90, 750)(53, 713, 56, 716, 94, 754)(54, 714, 95, 755, 76, 736)(58, 718, 101, 761, 99, 759)(62, 722, 107, 767, 105, 765)(64, 724, 111, 771, 109, 769)(65, 725, 113, 773, 69, 729)(67, 727, 116, 776, 117, 777)(70, 730, 110, 770, 121, 781)(71, 731, 122, 782, 124, 784)(74, 734, 127, 787, 129, 789)(77, 737, 132, 792, 134, 794)(80, 740, 138, 798, 136, 796)(81, 741, 84, 744, 141, 801)(82, 742, 142, 802, 135, 795)(86, 746, 148, 808, 146, 806)(87, 747, 149, 809, 91, 751)(89, 749, 152, 812, 153, 813)(92, 752, 137, 797, 157, 817)(93, 753, 158, 818, 160, 820)(96, 756, 164, 824, 162, 822)(97, 757, 100, 760, 167, 827)(98, 758, 168, 828, 161, 821)(102, 762, 174, 834, 172, 832)(103, 763, 106, 766, 176, 836)(104, 764, 177, 837, 125, 785)(108, 768, 183, 843, 181, 841)(112, 772, 188, 848, 186, 846)(114, 774, 192, 852, 190, 850)(115, 775, 194, 854, 118, 778)(119, 779, 191, 851, 200, 860)(120, 780, 201, 861, 203, 863)(123, 783, 206, 866, 208, 868)(126, 786, 211, 871, 130, 790)(128, 788, 214, 874, 215, 875)(131, 791, 163, 823, 219, 879)(133, 793, 221, 881, 223, 883)(139, 799, 230, 890, 228, 888)(140, 800, 232, 892, 234, 894)(143, 803, 238, 898, 236, 896)(144, 804, 147, 807, 241, 901)(145, 805, 242, 902, 235, 895)(150, 810, 249, 909, 247, 907)(151, 811, 251, 911, 154, 814)(155, 815, 248, 908, 257, 917)(156, 816, 258, 918, 260, 920)(159, 819, 263, 923, 265, 925)(165, 825, 272, 932, 270, 930)(166, 826, 274, 934, 276, 936)(169, 829, 279, 939, 278, 938)(170, 830, 173, 833, 282, 942)(171, 831, 283, 943, 277, 937)(175, 835, 288, 948, 290, 950)(178, 838, 293, 953, 292, 952)(179, 839, 182, 842, 296, 956)(180, 840, 297, 957, 291, 951)(184, 844, 187, 847, 303, 963)(185, 845, 267, 927, 204, 864)(189, 849, 309, 969, 307, 967)(193, 853, 313, 973, 252, 912)(195, 855, 317, 977, 315, 975)(196, 856, 319, 979, 197, 857)(198, 858, 316, 976, 323, 983)(199, 859, 324, 984, 326, 986)(202, 862, 329, 989, 331, 991)(205, 865, 333, 993, 209, 869)(207, 867, 336, 996, 337, 997)(210, 870, 261, 921, 227, 887)(212, 872, 318, 978, 341, 1001)(213, 873, 343, 1003, 216, 876)(217, 877, 342, 1002, 349, 1009)(218, 878, 350, 1010, 352, 1012)(220, 880, 353, 1013, 224, 884)(222, 882, 355, 1015, 356, 1016)(225, 885, 237, 897, 269, 929)(226, 886, 229, 889, 361, 1021)(231, 891, 367, 1027, 365, 1025)(233, 893, 295, 955, 370, 1030)(239, 899, 376, 1036, 374, 1034)(240, 900, 378, 1038, 275, 935)(243, 903, 382, 1042, 380, 1040)(244, 904, 246, 906, 385, 1045)(245, 905, 386, 1046, 379, 1039)(250, 910, 392, 1052, 344, 1004)(253, 913, 395, 1055, 254, 914)(255, 915, 394, 1054, 399, 1059)(256, 916, 400, 1060, 402, 1062)(259, 919, 404, 1064, 406, 1066)(262, 922, 408, 1068, 266, 926)(264, 924, 410, 1070, 411, 1071)(268, 928, 271, 931, 416, 1076)(273, 933, 421, 1081, 419, 1079)(280, 940, 429, 1089, 427, 1087)(281, 941, 431, 1091, 289, 949)(284, 944, 435, 1095, 433, 1093)(285, 945, 287, 947, 438, 1098)(286, 946, 439, 1099, 432, 1092)(294, 954, 449, 1109, 447, 1107)(298, 958, 453, 1113, 452, 1112)(299, 959, 301, 961, 456, 1116)(300, 960, 457, 1117, 451, 1111)(302, 962, 460, 1120, 462, 1122)(304, 964, 463, 1123, 414, 1074)(305, 965, 308, 968, 357, 1017)(306, 966, 464, 1124, 440, 1100)(310, 970, 312, 972, 469, 1129)(311, 971, 445, 1105, 327, 987)(314, 974, 472, 1132, 471, 1131)(320, 980, 478, 1138, 476, 1136)(321, 981, 477, 1137, 481, 1141)(322, 982, 482, 1142, 413, 1073)(325, 985, 407, 1067, 403, 1063)(328, 988, 486, 1146, 332, 992)(330, 990, 489, 1149, 490, 1150)(334, 994, 479, 1139, 492, 1152)(335, 995, 420, 1080, 338, 998)(339, 999, 398, 1058, 496, 1156)(340, 1000, 362, 1022, 497, 1157)(345, 1005, 501, 1161, 346, 1006)(347, 1007, 500, 1160, 505, 1165)(348, 1008, 506, 1166, 491, 1151)(351, 1011, 508, 1168, 510, 1170)(354, 1014, 513, 1173, 512, 1172)(358, 1018, 504, 1164, 518, 1178)(359, 1019, 417, 1077, 488, 1148)(360, 1020, 519, 1179, 521, 1181)(363, 1023, 366, 1026, 412, 1072)(364, 1024, 522, 1182, 458, 1118)(368, 1028, 526, 1186, 371, 1031)(369, 1029, 528, 1188, 529, 1189)(372, 1032, 381, 1041, 390, 1050)(373, 1033, 375, 1035, 436, 1096)(377, 1037, 533, 1193, 532, 1192)(383, 1043, 446, 1106, 448, 1108)(384, 1044, 538, 1198, 520, 1180)(387, 1047, 418, 1078, 540, 1200)(388, 1048, 541, 1201, 539, 1199)(389, 1049, 391, 1051, 544, 1204)(393, 1053, 547, 1207, 546, 1206)(396, 1056, 514, 1174, 548, 1208)(397, 1057, 549, 1209, 551, 1211)(401, 1061, 511, 1171, 507, 1167)(405, 1065, 555, 1215, 556, 1216)(409, 1069, 558, 1218, 557, 1217)(415, 1075, 563, 1223, 565, 1225)(422, 1082, 569, 1229, 424, 1084)(423, 1083, 534, 1194, 571, 1231)(425, 1085, 434, 1094, 499, 1159)(426, 1086, 428, 1088, 454, 1114)(430, 1090, 574, 1234, 573, 1233)(437, 1097, 579, 1239, 564, 1224)(441, 1101, 581, 1241, 580, 1240)(442, 1102, 583, 1243, 444, 1104)(443, 1103, 575, 1235, 585, 1245)(450, 1110, 588, 1248, 587, 1247)(455, 1115, 591, 1251, 461, 1121)(459, 1119, 593, 1253, 592, 1252)(465, 1125, 553, 1213, 552, 1212)(466, 1126, 467, 1127, 599, 1259)(468, 1128, 601, 1261, 570, 1230)(470, 1130, 603, 1263, 594, 1254)(473, 1133, 474, 1134, 607, 1267)(475, 1135, 608, 1268, 498, 1158)(480, 1140, 531, 1191, 578, 1238)(483, 1143, 566, 1226, 485, 1145)(484, 1144, 554, 1214, 582, 1242)(487, 1147, 542, 1202, 545, 1205)(493, 1153, 616, 1276, 494, 1154)(495, 1155, 576, 1236, 577, 1237)(502, 1162, 559, 1219, 620, 1280)(503, 1163, 621, 1281, 623, 1283)(509, 1169, 625, 1285, 626, 1286)(515, 1175, 629, 1289, 516, 1176)(517, 1177, 589, 1249, 590, 1250)(523, 1183, 614, 1274, 624, 1284)(524, 1184, 525, 1185, 635, 1295)(527, 1187, 619, 1279, 636, 1296)(530, 1190, 550, 1210, 572, 1232)(535, 1195, 536, 1196, 562, 1222)(537, 1197, 622, 1282, 586, 1246)(543, 1203, 643, 1303, 584, 1244)(560, 1220, 648, 1308, 561, 1221)(567, 1227, 568, 1228, 650, 1310)(595, 1255, 633, 1293, 597, 1257)(596, 1256, 653, 1313, 647, 1307)(598, 1258, 654, 1314, 602, 1262)(600, 1260, 632, 1292, 642, 1302)(604, 1264, 605, 1265, 641, 1301)(606, 1266, 639, 1299, 638, 1298)(609, 1269, 610, 1270, 631, 1291)(611, 1271, 627, 1287, 615, 1275)(612, 1272, 652, 1312, 613, 1273)(617, 1277, 634, 1294, 657, 1317)(618, 1278, 658, 1318, 640, 1300)(628, 1288, 649, 1309, 646, 1306)(630, 1290, 637, 1297, 659, 1319)(644, 1304, 645, 1305, 651, 1311)(655, 1315, 660, 1320, 656, 1316)(1321, 1981)(1322, 1982)(1323, 1983)(1324, 1984)(1325, 1985)(1326, 1986)(1327, 1987)(1328, 1988)(1329, 1989)(1330, 1990)(1331, 1991)(1332, 1992)(1333, 1993)(1334, 1994)(1335, 1995)(1336, 1996)(1337, 1997)(1338, 1998)(1339, 1999)(1340, 2000)(1341, 2001)(1342, 2002)(1343, 2003)(1344, 2004)(1345, 2005)(1346, 2006)(1347, 2007)(1348, 2008)(1349, 2009)(1350, 2010)(1351, 2011)(1352, 2012)(1353, 2013)(1354, 2014)(1355, 2015)(1356, 2016)(1357, 2017)(1358, 2018)(1359, 2019)(1360, 2020)(1361, 2021)(1362, 2022)(1363, 2023)(1364, 2024)(1365, 2025)(1366, 2026)(1367, 2027)(1368, 2028)(1369, 2029)(1370, 2030)(1371, 2031)(1372, 2032)(1373, 2033)(1374, 2034)(1375, 2035)(1376, 2036)(1377, 2037)(1378, 2038)(1379, 2039)(1380, 2040)(1381, 2041)(1382, 2042)(1383, 2043)(1384, 2044)(1385, 2045)(1386, 2046)(1387, 2047)(1388, 2048)(1389, 2049)(1390, 2050)(1391, 2051)(1392, 2052)(1393, 2053)(1394, 2054)(1395, 2055)(1396, 2056)(1397, 2057)(1398, 2058)(1399, 2059)(1400, 2060)(1401, 2061)(1402, 2062)(1403, 2063)(1404, 2064)(1405, 2065)(1406, 2066)(1407, 2067)(1408, 2068)(1409, 2069)(1410, 2070)(1411, 2071)(1412, 2072)(1413, 2073)(1414, 2074)(1415, 2075)(1416, 2076)(1417, 2077)(1418, 2078)(1419, 2079)(1420, 2080)(1421, 2081)(1422, 2082)(1423, 2083)(1424, 2084)(1425, 2085)(1426, 2086)(1427, 2087)(1428, 2088)(1429, 2089)(1430, 2090)(1431, 2091)(1432, 2092)(1433, 2093)(1434, 2094)(1435, 2095)(1436, 2096)(1437, 2097)(1438, 2098)(1439, 2099)(1440, 2100)(1441, 2101)(1442, 2102)(1443, 2103)(1444, 2104)(1445, 2105)(1446, 2106)(1447, 2107)(1448, 2108)(1449, 2109)(1450, 2110)(1451, 2111)(1452, 2112)(1453, 2113)(1454, 2114)(1455, 2115)(1456, 2116)(1457, 2117)(1458, 2118)(1459, 2119)(1460, 2120)(1461, 2121)(1462, 2122)(1463, 2123)(1464, 2124)(1465, 2125)(1466, 2126)(1467, 2127)(1468, 2128)(1469, 2129)(1470, 2130)(1471, 2131)(1472, 2132)(1473, 2133)(1474, 2134)(1475, 2135)(1476, 2136)(1477, 2137)(1478, 2138)(1479, 2139)(1480, 2140)(1481, 2141)(1482, 2142)(1483, 2143)(1484, 2144)(1485, 2145)(1486, 2146)(1487, 2147)(1488, 2148)(1489, 2149)(1490, 2150)(1491, 2151)(1492, 2152)(1493, 2153)(1494, 2154)(1495, 2155)(1496, 2156)(1497, 2157)(1498, 2158)(1499, 2159)(1500, 2160)(1501, 2161)(1502, 2162)(1503, 2163)(1504, 2164)(1505, 2165)(1506, 2166)(1507, 2167)(1508, 2168)(1509, 2169)(1510, 2170)(1511, 2171)(1512, 2172)(1513, 2173)(1514, 2174)(1515, 2175)(1516, 2176)(1517, 2177)(1518, 2178)(1519, 2179)(1520, 2180)(1521, 2181)(1522, 2182)(1523, 2183)(1524, 2184)(1525, 2185)(1526, 2186)(1527, 2187)(1528, 2188)(1529, 2189)(1530, 2190)(1531, 2191)(1532, 2192)(1533, 2193)(1534, 2194)(1535, 2195)(1536, 2196)(1537, 2197)(1538, 2198)(1539, 2199)(1540, 2200)(1541, 2201)(1542, 2202)(1543, 2203)(1544, 2204)(1545, 2205)(1546, 2206)(1547, 2207)(1548, 2208)(1549, 2209)(1550, 2210)(1551, 2211)(1552, 2212)(1553, 2213)(1554, 2214)(1555, 2215)(1556, 2216)(1557, 2217)(1558, 2218)(1559, 2219)(1560, 2220)(1561, 2221)(1562, 2222)(1563, 2223)(1564, 2224)(1565, 2225)(1566, 2226)(1567, 2227)(1568, 2228)(1569, 2229)(1570, 2230)(1571, 2231)(1572, 2232)(1573, 2233)(1574, 2234)(1575, 2235)(1576, 2236)(1577, 2237)(1578, 2238)(1579, 2239)(1580, 2240)(1581, 2241)(1582, 2242)(1583, 2243)(1584, 2244)(1585, 2245)(1586, 2246)(1587, 2247)(1588, 2248)(1589, 2249)(1590, 2250)(1591, 2251)(1592, 2252)(1593, 2253)(1594, 2254)(1595, 2255)(1596, 2256)(1597, 2257)(1598, 2258)(1599, 2259)(1600, 2260)(1601, 2261)(1602, 2262)(1603, 2263)(1604, 2264)(1605, 2265)(1606, 2266)(1607, 2267)(1608, 2268)(1609, 2269)(1610, 2270)(1611, 2271)(1612, 2272)(1613, 2273)(1614, 2274)(1615, 2275)(1616, 2276)(1617, 2277)(1618, 2278)(1619, 2279)(1620, 2280)(1621, 2281)(1622, 2282)(1623, 2283)(1624, 2284)(1625, 2285)(1626, 2286)(1627, 2287)(1628, 2288)(1629, 2289)(1630, 2290)(1631, 2291)(1632, 2292)(1633, 2293)(1634, 2294)(1635, 2295)(1636, 2296)(1637, 2297)(1638, 2298)(1639, 2299)(1640, 2300)(1641, 2301)(1642, 2302)(1643, 2303)(1644, 2304)(1645, 2305)(1646, 2306)(1647, 2307)(1648, 2308)(1649, 2309)(1650, 2310)(1651, 2311)(1652, 2312)(1653, 2313)(1654, 2314)(1655, 2315)(1656, 2316)(1657, 2317)(1658, 2318)(1659, 2319)(1660, 2320)(1661, 2321)(1662, 2322)(1663, 2323)(1664, 2324)(1665, 2325)(1666, 2326)(1667, 2327)(1668, 2328)(1669, 2329)(1670, 2330)(1671, 2331)(1672, 2332)(1673, 2333)(1674, 2334)(1675, 2335)(1676, 2336)(1677, 2337)(1678, 2338)(1679, 2339)(1680, 2340)(1681, 2341)(1682, 2342)(1683, 2343)(1684, 2344)(1685, 2345)(1686, 2346)(1687, 2347)(1688, 2348)(1689, 2349)(1690, 2350)(1691, 2351)(1692, 2352)(1693, 2353)(1694, 2354)(1695, 2355)(1696, 2356)(1697, 2357)(1698, 2358)(1699, 2359)(1700, 2360)(1701, 2361)(1702, 2362)(1703, 2363)(1704, 2364)(1705, 2365)(1706, 2366)(1707, 2367)(1708, 2368)(1709, 2369)(1710, 2370)(1711, 2371)(1712, 2372)(1713, 2373)(1714, 2374)(1715, 2375)(1716, 2376)(1717, 2377)(1718, 2378)(1719, 2379)(1720, 2380)(1721, 2381)(1722, 2382)(1723, 2383)(1724, 2384)(1725, 2385)(1726, 2386)(1727, 2387)(1728, 2388)(1729, 2389)(1730, 2390)(1731, 2391)(1732, 2392)(1733, 2393)(1734, 2394)(1735, 2395)(1736, 2396)(1737, 2397)(1738, 2398)(1739, 2399)(1740, 2400)(1741, 2401)(1742, 2402)(1743, 2403)(1744, 2404)(1745, 2405)(1746, 2406)(1747, 2407)(1748, 2408)(1749, 2409)(1750, 2410)(1751, 2411)(1752, 2412)(1753, 2413)(1754, 2414)(1755, 2415)(1756, 2416)(1757, 2417)(1758, 2418)(1759, 2419)(1760, 2420)(1761, 2421)(1762, 2422)(1763, 2423)(1764, 2424)(1765, 2425)(1766, 2426)(1767, 2427)(1768, 2428)(1769, 2429)(1770, 2430)(1771, 2431)(1772, 2432)(1773, 2433)(1774, 2434)(1775, 2435)(1776, 2436)(1777, 2437)(1778, 2438)(1779, 2439)(1780, 2440)(1781, 2441)(1782, 2442)(1783, 2443)(1784, 2444)(1785, 2445)(1786, 2446)(1787, 2447)(1788, 2448)(1789, 2449)(1790, 2450)(1791, 2451)(1792, 2452)(1793, 2453)(1794, 2454)(1795, 2455)(1796, 2456)(1797, 2457)(1798, 2458)(1799, 2459)(1800, 2460)(1801, 2461)(1802, 2462)(1803, 2463)(1804, 2464)(1805, 2465)(1806, 2466)(1807, 2467)(1808, 2468)(1809, 2469)(1810, 2470)(1811, 2471)(1812, 2472)(1813, 2473)(1814, 2474)(1815, 2475)(1816, 2476)(1817, 2477)(1818, 2478)(1819, 2479)(1820, 2480)(1821, 2481)(1822, 2482)(1823, 2483)(1824, 2484)(1825, 2485)(1826, 2486)(1827, 2487)(1828, 2488)(1829, 2489)(1830, 2490)(1831, 2491)(1832, 2492)(1833, 2493)(1834, 2494)(1835, 2495)(1836, 2496)(1837, 2497)(1838, 2498)(1839, 2499)(1840, 2500)(1841, 2501)(1842, 2502)(1843, 2503)(1844, 2504)(1845, 2505)(1846, 2506)(1847, 2507)(1848, 2508)(1849, 2509)(1850, 2510)(1851, 2511)(1852, 2512)(1853, 2513)(1854, 2514)(1855, 2515)(1856, 2516)(1857, 2517)(1858, 2518)(1859, 2519)(1860, 2520)(1861, 2521)(1862, 2522)(1863, 2523)(1864, 2524)(1865, 2525)(1866, 2526)(1867, 2527)(1868, 2528)(1869, 2529)(1870, 2530)(1871, 2531)(1872, 2532)(1873, 2533)(1874, 2534)(1875, 2535)(1876, 2536)(1877, 2537)(1878, 2538)(1879, 2539)(1880, 2540)(1881, 2541)(1882, 2542)(1883, 2543)(1884, 2544)(1885, 2545)(1886, 2546)(1887, 2547)(1888, 2548)(1889, 2549)(1890, 2550)(1891, 2551)(1892, 2552)(1893, 2553)(1894, 2554)(1895, 2555)(1896, 2556)(1897, 2557)(1898, 2558)(1899, 2559)(1900, 2560)(1901, 2561)(1902, 2562)(1903, 2563)(1904, 2564)(1905, 2565)(1906, 2566)(1907, 2567)(1908, 2568)(1909, 2569)(1910, 2570)(1911, 2571)(1912, 2572)(1913, 2573)(1914, 2574)(1915, 2575)(1916, 2576)(1917, 2577)(1918, 2578)(1919, 2579)(1920, 2580)(1921, 2581)(1922, 2582)(1923, 2583)(1924, 2584)(1925, 2585)(1926, 2586)(1927, 2587)(1928, 2588)(1929, 2589)(1930, 2590)(1931, 2591)(1932, 2592)(1933, 2593)(1934, 2594)(1935, 2595)(1936, 2596)(1937, 2597)(1938, 2598)(1939, 2599)(1940, 2600)(1941, 2601)(1942, 2602)(1943, 2603)(1944, 2604)(1945, 2605)(1946, 2606)(1947, 2607)(1948, 2608)(1949, 2609)(1950, 2610)(1951, 2611)(1952, 2612)(1953, 2613)(1954, 2614)(1955, 2615)(1956, 2616)(1957, 2617)(1958, 2618)(1959, 2619)(1960, 2620)(1961, 2621)(1962, 2622)(1963, 2623)(1964, 2624)(1965, 2625)(1966, 2626)(1967, 2627)(1968, 2628)(1969, 2629)(1970, 2630)(1971, 2631)(1972, 2632)(1973, 2633)(1974, 2634)(1975, 2635)(1976, 2636)(1977, 2637)(1978, 2638)(1979, 2639)(1980, 2640)
	L = (1, 1323)(2, 1326)(3, 1329)(4, 1331)(5, 1321)(6, 1334)(7, 1322)(8, 1324)(9, 1339)(10, 1341)(11, 1342)(12, 1343)(13, 1325)(14, 1347)(15, 1349)(16, 1327)(17, 1328)(18, 1330)(19, 1357)(20, 1359)(21, 1360)(22, 1361)(23, 1363)(24, 1332)(25, 1365)(26, 1333)(27, 1370)(28, 1372)(29, 1373)(30, 1335)(31, 1375)(32, 1336)(33, 1379)(34, 1337)(35, 1338)(36, 1340)(37, 1387)(38, 1389)(39, 1390)(40, 1391)(41, 1394)(42, 1396)(43, 1397)(44, 1344)(45, 1401)(46, 1345)(47, 1403)(48, 1346)(49, 1348)(50, 1409)(51, 1411)(52, 1412)(53, 1413)(54, 1350)(55, 1417)(56, 1351)(57, 1419)(58, 1352)(59, 1423)(60, 1353)(61, 1425)(62, 1354)(63, 1429)(64, 1355)(65, 1356)(66, 1358)(67, 1406)(68, 1438)(69, 1439)(70, 1440)(71, 1443)(72, 1445)(73, 1362)(74, 1448)(75, 1450)(76, 1451)(77, 1453)(78, 1455)(79, 1456)(80, 1364)(81, 1460)(82, 1366)(83, 1464)(84, 1367)(85, 1466)(86, 1368)(87, 1369)(88, 1371)(89, 1422)(90, 1474)(91, 1475)(92, 1476)(93, 1479)(94, 1481)(95, 1482)(96, 1374)(97, 1486)(98, 1376)(99, 1490)(100, 1377)(101, 1492)(102, 1378)(103, 1495)(104, 1380)(105, 1499)(106, 1381)(107, 1501)(108, 1382)(109, 1504)(110, 1383)(111, 1506)(112, 1384)(113, 1510)(114, 1385)(115, 1386)(116, 1388)(117, 1517)(118, 1518)(119, 1519)(120, 1522)(121, 1524)(122, 1392)(123, 1527)(124, 1529)(125, 1530)(126, 1393)(127, 1395)(128, 1428)(129, 1536)(130, 1537)(131, 1538)(132, 1398)(133, 1542)(134, 1544)(135, 1545)(136, 1546)(137, 1399)(138, 1548)(139, 1400)(140, 1553)(141, 1555)(142, 1556)(143, 1402)(144, 1560)(145, 1404)(146, 1564)(147, 1405)(148, 1437)(149, 1567)(150, 1407)(151, 1408)(152, 1410)(153, 1574)(154, 1575)(155, 1576)(156, 1579)(157, 1581)(158, 1414)(159, 1584)(160, 1586)(161, 1587)(162, 1588)(163, 1415)(164, 1590)(165, 1416)(166, 1595)(167, 1597)(168, 1598)(169, 1418)(170, 1601)(171, 1420)(172, 1605)(173, 1421)(174, 1473)(175, 1609)(176, 1611)(177, 1612)(178, 1424)(179, 1615)(180, 1426)(181, 1619)(182, 1427)(183, 1535)(184, 1622)(185, 1430)(186, 1625)(187, 1431)(188, 1627)(189, 1432)(190, 1630)(191, 1433)(192, 1572)(193, 1434)(194, 1635)(195, 1435)(196, 1436)(197, 1641)(198, 1642)(199, 1645)(200, 1647)(201, 1441)(202, 1650)(203, 1652)(204, 1488)(205, 1442)(206, 1444)(207, 1509)(208, 1658)(209, 1659)(210, 1660)(211, 1661)(212, 1446)(213, 1447)(214, 1449)(215, 1666)(216, 1667)(217, 1668)(218, 1671)(219, 1557)(220, 1452)(221, 1454)(222, 1551)(223, 1677)(224, 1678)(225, 1679)(226, 1680)(227, 1457)(228, 1683)(229, 1458)(230, 1685)(231, 1459)(232, 1461)(233, 1689)(234, 1691)(235, 1692)(236, 1693)(237, 1462)(238, 1694)(239, 1463)(240, 1596)(241, 1699)(242, 1700)(243, 1465)(244, 1704)(245, 1467)(246, 1468)(247, 1709)(248, 1469)(249, 1664)(250, 1470)(251, 1633)(252, 1471)(253, 1472)(254, 1717)(255, 1718)(256, 1721)(257, 1701)(258, 1477)(259, 1725)(260, 1727)(261, 1497)(262, 1478)(263, 1480)(264, 1593)(265, 1732)(266, 1733)(267, 1734)(268, 1735)(269, 1483)(270, 1655)(271, 1484)(272, 1739)(273, 1485)(274, 1487)(275, 1743)(276, 1744)(277, 1745)(278, 1746)(279, 1747)(280, 1489)(281, 1610)(282, 1752)(283, 1753)(284, 1491)(285, 1757)(286, 1493)(287, 1494)(288, 1496)(289, 1763)(290, 1764)(291, 1765)(292, 1766)(293, 1767)(294, 1498)(295, 1554)(296, 1771)(297, 1772)(298, 1500)(299, 1775)(300, 1502)(301, 1503)(302, 1781)(303, 1760)(304, 1505)(305, 1541)(306, 1507)(307, 1786)(308, 1508)(309, 1657)(310, 1788)(311, 1511)(312, 1512)(313, 1791)(314, 1513)(315, 1793)(316, 1514)(317, 1532)(318, 1515)(319, 1796)(320, 1516)(321, 1800)(322, 1728)(323, 1759)(324, 1520)(325, 1804)(326, 1805)(327, 1617)(328, 1521)(329, 1523)(330, 1634)(331, 1737)(332, 1811)(333, 1812)(334, 1525)(335, 1526)(336, 1528)(337, 1814)(338, 1710)(339, 1815)(340, 1749)(341, 1818)(342, 1531)(343, 1712)(344, 1533)(345, 1534)(346, 1823)(347, 1824)(348, 1806)(349, 1754)(350, 1539)(351, 1829)(352, 1831)(353, 1832)(354, 1540)(355, 1543)(356, 1836)(357, 1819)(358, 1837)(359, 1769)(360, 1840)(361, 1778)(362, 1547)(363, 1583)(364, 1549)(365, 1844)(366, 1550)(367, 1676)(368, 1552)(369, 1697)(370, 1616)(371, 1850)(372, 1740)(373, 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2329)(1010, 2330)(1011, 2331)(1012, 2332)(1013, 2333)(1014, 2334)(1015, 2335)(1016, 2336)(1017, 2337)(1018, 2338)(1019, 2339)(1020, 2340)(1021, 2341)(1022, 2342)(1023, 2343)(1024, 2344)(1025, 2345)(1026, 2346)(1027, 2347)(1028, 2348)(1029, 2349)(1030, 2350)(1031, 2351)(1032, 2352)(1033, 2353)(1034, 2354)(1035, 2355)(1036, 2356)(1037, 2357)(1038, 2358)(1039, 2359)(1040, 2360)(1041, 2361)(1042, 2362)(1043, 2363)(1044, 2364)(1045, 2365)(1046, 2366)(1047, 2367)(1048, 2368)(1049, 2369)(1050, 2370)(1051, 2371)(1052, 2372)(1053, 2373)(1054, 2374)(1055, 2375)(1056, 2376)(1057, 2377)(1058, 2378)(1059, 2379)(1060, 2380)(1061, 2381)(1062, 2382)(1063, 2383)(1064, 2384)(1065, 2385)(1066, 2386)(1067, 2387)(1068, 2388)(1069, 2389)(1070, 2390)(1071, 2391)(1072, 2392)(1073, 2393)(1074, 2394)(1075, 2395)(1076, 2396)(1077, 2397)(1078, 2398)(1079, 2399)(1080, 2400)(1081, 2401)(1082, 2402)(1083, 2403)(1084, 2404)(1085, 2405)(1086, 2406)(1087, 2407)(1088, 2408)(1089, 2409)(1090, 2410)(1091, 2411)(1092, 2412)(1093, 2413)(1094, 2414)(1095, 2415)(1096, 2416)(1097, 2417)(1098, 2418)(1099, 2419)(1100, 2420)(1101, 2421)(1102, 2422)(1103, 2423)(1104, 2424)(1105, 2425)(1106, 2426)(1107, 2427)(1108, 2428)(1109, 2429)(1110, 2430)(1111, 2431)(1112, 2432)(1113, 2433)(1114, 2434)(1115, 2435)(1116, 2436)(1117, 2437)(1118, 2438)(1119, 2439)(1120, 2440)(1121, 2441)(1122, 2442)(1123, 2443)(1124, 2444)(1125, 2445)(1126, 2446)(1127, 2447)(1128, 2448)(1129, 2449)(1130, 2450)(1131, 2451)(1132, 2452)(1133, 2453)(1134, 2454)(1135, 2455)(1136, 2456)(1137, 2457)(1138, 2458)(1139, 2459)(1140, 2460)(1141, 2461)(1142, 2462)(1143, 2463)(1144, 2464)(1145, 2465)(1146, 2466)(1147, 2467)(1148, 2468)(1149, 2469)(1150, 2470)(1151, 2471)(1152, 2472)(1153, 2473)(1154, 2474)(1155, 2475)(1156, 2476)(1157, 2477)(1158, 2478)(1159, 2479)(1160, 2480)(1161, 2481)(1162, 2482)(1163, 2483)(1164, 2484)(1165, 2485)(1166, 2486)(1167, 2487)(1168, 2488)(1169, 2489)(1170, 2490)(1171, 2491)(1172, 2492)(1173, 2493)(1174, 2494)(1175, 2495)(1176, 2496)(1177, 2497)(1178, 2498)(1179, 2499)(1180, 2500)(1181, 2501)(1182, 2502)(1183, 2503)(1184, 2504)(1185, 2505)(1186, 2506)(1187, 2507)(1188, 2508)(1189, 2509)(1190, 2510)(1191, 2511)(1192, 2512)(1193, 2513)(1194, 2514)(1195, 2515)(1196, 2516)(1197, 2517)(1198, 2518)(1199, 2519)(1200, 2520)(1201, 2521)(1202, 2522)(1203, 2523)(1204, 2524)(1205, 2525)(1206, 2526)(1207, 2527)(1208, 2528)(1209, 2529)(1210, 2530)(1211, 2531)(1212, 2532)(1213, 2533)(1214, 2534)(1215, 2535)(1216, 2536)(1217, 2537)(1218, 2538)(1219, 2539)(1220, 2540)(1221, 2541)(1222, 2542)(1223, 2543)(1224, 2544)(1225, 2545)(1226, 2546)(1227, 2547)(1228, 2548)(1229, 2549)(1230, 2550)(1231, 2551)(1232, 2552)(1233, 2553)(1234, 2554)(1235, 2555)(1236, 2556)(1237, 2557)(1238, 2558)(1239, 2559)(1240, 2560)(1241, 2561)(1242, 2562)(1243, 2563)(1244, 2564)(1245, 2565)(1246, 2566)(1247, 2567)(1248, 2568)(1249, 2569)(1250, 2570)(1251, 2571)(1252, 2572)(1253, 2573)(1254, 2574)(1255, 2575)(1256, 2576)(1257, 2577)(1258, 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	local type(s) :: { ( 4, 22 ), ( 4, 22, 4, 22, 4, 22 ) }
Outer automorphisms :: reflexible
Dual of E26.1542
Graph:: simple bipartite
	v = 880 e = 1320 f = 390
	degree seq :: [ 2^660, 6^220 ]

E26.1544 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 10})
Quotient :: regular
Aut^+ = $<750, 5>$ (small group id <750, 5>)
Aut   = $<1500, 37>$ (small group id <1500, 37>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^3, T1^10, (T1^-3 * T2 * T1^3 * T2 * T1^-1)^2, T2 * T1 * T2 * T1^-1 * T2 * T1^3 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-4 * T2 * T1^-2, (T2 * T1^2 * T2 * T1^-3 * T2 * T1^-3)^2, (T2 * T1^2 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^-2)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 11, 21, 37, 36, 20, 10, 4)(3, 7, 15, 27, 47, 77, 54, 31, 17, 8)(6, 13, 25, 43, 71, 114, 76, 46, 26, 14)(9, 18, 32, 55, 89, 134, 84, 51, 29, 16)(12, 23, 41, 67, 108, 169, 113, 70, 42, 24)(19, 34, 58, 94, 148, 228, 147, 93, 57, 33)(22, 39, 65, 104, 163, 253, 168, 107, 66, 40)(28, 49, 81, 128, 199, 305, 204, 131, 82, 50)(30, 52, 85, 135, 209, 285, 184, 118, 73, 44)(35, 60, 97, 153, 236, 356, 235, 152, 96, 59)(38, 63, 102, 159, 247, 370, 252, 162, 103, 64)(45, 74, 119, 185, 286, 399, 268, 173, 110, 68)(48, 79, 126, 195, 300, 376, 251, 198, 127, 80)(53, 87, 138, 214, 327, 473, 326, 213, 137, 86)(56, 91, 144, 222, 338, 485, 343, 225, 145, 92)(61, 99, 156, 241, 362, 512, 361, 240, 155, 98)(62, 100, 157, 243, 364, 514, 369, 246, 158, 101)(69, 111, 174, 269, 400, 537, 384, 257, 165, 105)(72, 116, 181, 279, 412, 519, 368, 282, 182, 117)(75, 121, 188, 291, 237, 357, 427, 290, 187, 120)(78, 124, 193, 297, 436, 542, 388, 261, 194, 125)(83, 132, 205, 314, 365, 516, 451, 309, 201, 129)(88, 140, 217, 332, 428, 590, 478, 331, 216, 139)(90, 142, 220, 335, 387, 259, 167, 260, 221, 143)(95, 150, 232, 350, 499, 629, 504, 353, 233, 151)(106, 166, 258, 385, 538, 644, 526, 374, 249, 160)(109, 171, 265, 393, 548, 508, 360, 396, 266, 172)(112, 176, 272, 231, 149, 230, 349, 404, 271, 175)(115, 179, 277, 409, 568, 444, 304, 377, 278, 180)(122, 190, 294, 229, 348, 497, 594, 431, 293, 189)(123, 191, 295, 421, 582, 673, 596, 435, 296, 192)(130, 202, 310, 452, 608, 678, 601, 442, 302, 196)(133, 207, 317, 461, 328, 474, 613, 460, 316, 206)(136, 211, 323, 467, 525, 642, 593, 470, 324, 212)(141, 218, 334, 480, 565, 406, 273, 177, 274, 219)(146, 226, 344, 373, 248, 372, 524, 489, 340, 223)(154, 238, 358, 507, 632, 693, 633, 510, 359, 239)(161, 250, 375, 527, 645, 697, 637, 517, 366, 244)(164, 255, 381, 532, 501, 351, 234, 354, 382, 256)(170, 263, 391, 545, 658, 576, 416, 520, 392, 264)(178, 275, 407, 557, 664, 611, 456, 313, 408, 276)(183, 283, 417, 577, 437, 598, 500, 574, 414, 280)(186, 288, 424, 584, 636, 695, 669, 587, 425, 289)(197, 303, 443, 602, 679, 717, 677, 599, 438, 298)(200, 307, 448, 533, 383, 535, 477, 607, 449, 308)(203, 312, 455, 322, 210, 321, 466, 534, 454, 311)(208, 319, 464, 320, 465, 617, 686, 616, 463, 318)(215, 329, 475, 536, 651, 707, 654, 539, 476, 330)(224, 341, 490, 620, 674, 700, 639, 571, 483, 336)(227, 346, 495, 515, 457, 612, 665, 578, 494, 345)(242, 245, 367, 518, 638, 698, 694, 634, 513, 363)(254, 379, 530, 469, 619, 660, 552, 511, 531, 380)(262, 389, 543, 653, 709, 672, 581, 420, 544, 390)(267, 397, 553, 661, 569, 488, 339, 487, 550, 394)(270, 402, 560, 472, 621, 676, 597, 666, 561, 403)(281, 415, 575, 503, 631, 690, 626, 486, 570, 410)(284, 419, 580, 423, 287, 422, 583, 493, 579, 418)(292, 429, 591, 643, 702, 729, 705, 646, 592, 430)(299, 378, 529, 648, 704, 731, 712, 663, 556, 433)(301, 440, 549, 659, 618, 468, 325, 471, 562, 441)(306, 446, 546, 395, 551, 491, 342, 492, 605, 447)(315, 458, 554, 398, 555, 662, 559, 401, 558, 459)(333, 434, 595, 675, 715, 735, 721, 687, 623, 479)(337, 484, 625, 689, 723, 740, 722, 688, 624, 481)(347, 432, 567, 445, 604, 680, 718, 692, 628, 496)(352, 502, 630, 682, 622, 647, 528, 439, 600, 498)(355, 506, 523, 371, 522, 641, 586, 453, 609, 505)(386, 540, 655, 589, 509, 603, 670, 710, 656, 541)(405, 563, 667, 696, 725, 741, 728, 699, 668, 564)(411, 521, 640, 701, 727, 743, 733, 708, 652, 566)(413, 572, 650, 606, 450, 585, 426, 588, 482, 573)(462, 614, 685, 716, 737, 742, 726, 706, 649, 615)(547, 635, 627, 691, 724, 739, 745, 730, 703, 657)(610, 683, 711, 734, 744, 750, 747, 736, 720, 684)(671, 713, 732, 746, 749, 748, 738, 719, 681, 714)
	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, 62)(40, 63)(41, 68)(42, 69)(43, 72)(46, 75)(47, 78)(50, 79)(51, 83)(52, 86)(54, 88)(55, 90)(57, 91)(58, 95)(60, 98)(64, 100)(65, 105)(66, 106)(67, 109)(70, 112)(71, 115)(73, 116)(74, 120)(76, 122)(77, 123)(80, 124)(81, 129)(82, 130)(84, 133)(85, 136)(87, 139)(89, 141)(92, 142)(93, 146)(94, 149)(96, 150)(97, 154)(99, 101)(102, 160)(103, 161)(104, 164)(107, 167)(108, 170)(110, 171)(111, 175)(113, 177)(114, 178)(117, 179)(118, 183)(119, 186)(121, 189)(125, 191)(126, 196)(127, 197)(128, 200)(131, 203)(132, 206)(134, 208)(135, 210)(137, 211)(138, 215)(140, 192)(143, 218)(144, 223)(145, 224)(147, 227)(148, 229)(151, 230)(152, 234)(153, 237)(155, 238)(156, 242)(157, 244)(158, 245)(159, 248)(162, 251)(163, 254)(165, 255)(166, 259)(168, 261)(169, 262)(172, 263)(173, 267)(174, 270)(176, 273)(180, 275)(181, 280)(182, 281)(184, 284)(185, 287)(187, 288)(188, 292)(190, 276)(193, 298)(194, 299)(195, 301)(198, 304)(199, 306)(201, 307)(202, 311)(204, 313)(205, 315)(207, 318)(209, 320)(212, 321)(213, 325)(214, 328)(216, 329)(217, 333)(219, 319)(220, 336)(221, 337)(222, 339)(225, 342)(226, 345)(228, 347)(231, 348)(232, 351)(233, 352)(235, 355)(236, 332)(239, 357)(240, 360)(241, 327)(243, 365)(246, 368)(247, 371)(249, 372)(250, 376)(252, 377)(253, 378)(256, 379)(257, 383)(258, 386)(260, 388)(264, 389)(265, 394)(266, 395)(268, 398)(269, 401)(271, 402)(272, 405)(274, 390)(277, 410)(278, 411)(279, 413)(282, 416)(283, 418)(285, 420)(286, 421)(289, 422)(290, 426)(291, 428)(293, 429)(294, 432)(295, 433)(296, 434)(297, 437)(300, 439)(302, 440)(303, 444)(305, 445)(308, 446)(309, 450)(310, 453)(312, 456)(314, 457)(316, 458)(317, 462)(322, 465)(323, 468)(324, 469)(326, 472)(330, 474)(331, 477)(334, 481)(335, 482)(338, 486)(340, 487)(341, 491)(343, 435)(344, 493)(346, 496)(349, 498)(350, 500)(353, 503)(354, 505)(356, 479)(358, 508)(359, 509)(361, 511)(362, 461)(363, 473)(364, 515)(366, 516)(367, 519)(369, 520)(370, 521)(373, 522)(374, 525)(375, 528)(380, 529)(381, 533)(382, 534)(384, 536)(385, 539)(387, 540)(391, 546)(392, 547)(393, 549)(396, 552)(397, 554)(399, 556)(400, 557)(403, 558)(404, 562)(406, 563)(407, 566)(408, 567)(409, 569)(412, 571)(414, 572)(415, 576)(417, 578)(419, 581)(423, 582)(424, 585)(425, 586)(427, 589)(430, 590)(431, 593)(436, 597)(438, 598)(441, 600)(442, 548)(443, 603)(447, 604)(448, 606)(449, 545)(451, 584)(452, 587)(454, 609)(455, 610)(459, 612)(460, 553)(463, 614)(464, 544)(466, 530)(467, 524)(470, 620)(471, 560)(475, 535)(476, 541)(478, 622)(480, 608)(483, 573)(484, 542)(485, 595)(488, 570)(489, 618)(490, 619)(492, 596)(494, 579)(495, 627)(497, 564)(499, 599)(501, 574)(502, 575)(504, 616)(506, 623)(507, 601)(510, 602)(512, 615)(513, 621)(514, 635)(517, 636)(518, 639)(523, 640)(526, 643)(527, 646)(531, 649)(532, 650)(537, 652)(538, 653)(543, 657)(550, 659)(551, 660)(555, 663)(559, 664)(561, 665)(565, 669)(568, 670)(577, 666)(580, 671)(583, 641)(588, 655)(591, 642)(592, 647)(594, 674)(605, 681)(607, 682)(611, 683)(613, 656)(617, 684)(624, 678)(625, 676)(626, 675)(628, 691)(629, 685)(630, 658)(631, 686)(632, 688)(633, 692)(634, 689)(637, 696)(638, 699)(644, 703)(645, 704)(648, 706)(651, 708)(654, 709)(661, 710)(662, 711)(667, 695)(668, 700)(672, 713)(673, 714)(677, 716)(679, 718)(680, 719)(687, 701)(690, 720)(693, 724)(694, 721)(697, 726)(698, 727)(702, 730)(705, 731)(707, 732)(712, 734)(715, 736)(717, 738)(722, 739)(723, 735)(725, 742)(728, 743)(729, 744)(733, 746)(737, 748)(740, 747)(741, 749)(745, 750)
	local type(s) :: { ( 3^10 ) }
Outer automorphisms :: reflexible
Dual of E26.1545
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 75 e = 375 f = 250
	degree seq :: [ 10^75 ]

E26.1545 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 10})
Quotient :: regular
Aut^+ = $<750, 5>$ (small group id <750, 5>)
Aut   = $<1500, 37>$ (small group id <1500, 37>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^3, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^10, 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 * T2 * T1 * T2 * T1^-1 * 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, 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, 155)(156, 217, 218)(157, 219, 220)(158, 221, 222)(159, 223, 224)(160, 225, 226)(161, 227, 228)(162, 229, 230)(163, 231, 232)(164, 233, 234)(165, 235, 236)(166, 237, 238)(167, 239, 240)(168, 241, 242)(169, 243, 244)(170, 245, 202)(203, 276, 277)(204, 278, 279)(205, 280, 281)(206, 282, 283)(207, 284, 285)(208, 286, 287)(209, 288, 289)(210, 290, 291)(211, 292, 293)(212, 294, 295)(213, 296, 297)(214, 298, 299)(215, 300, 301)(216, 302, 303)(246, 414, 639)(247, 473, 314)(248, 474, 334)(249, 475, 407)(250, 459, 723)(251, 477, 732)(252, 479, 558)(253, 373, 660)(254, 456, 722)(255, 444, 404)(256, 465, 725)(257, 445, 332)(258, 461, 379)(259, 484, 670)(260, 486, 261)(262, 337, 591)(263, 490, 329)(264, 491, 375)(265, 492, 420)(266, 460, 522)(267, 431, 515)(268, 449, 532)(269, 377, 664)(270, 497, 470)(271, 498, 417)(272, 499, 516)(273, 500, 312)(274, 501, 327)(275, 458, 655)(304, 531, 534)(305, 535, 538)(306, 539, 517)(307, 541, 544)(308, 433, 547)(309, 529, 550)(310, 551, 453)(311, 503, 554)(313, 557, 560)(315, 469, 563)(316, 564, 567)(317, 568, 570)(318, 571, 573)(319, 574, 577)(320, 578, 580)(321, 581, 583)(322, 435, 586)(323, 462, 589)(324, 590, 489)(325, 592, 495)(326, 415, 596)(328, 599, 600)(330, 579, 519)(331, 582, 426)(333, 603, 429)(335, 418, 608)(336, 609, 610)(338, 593, 374)(339, 448, 511)(340, 612, 376)(341, 382, 616)(342, 384, 618)(343, 619, 620)(344, 424, 622)(345, 569, 455)(346, 572, 392)(347, 513, 408)(348, 624, 395)(349, 352, 604)(350, 354, 628)(351, 629, 630)(353, 631, 632)(355, 634, 635)(356, 389, 637)(357, 553, 638)(358, 562, 472)(359, 640, 368)(360, 642, 480)(361, 364, 613)(362, 366, 645)(363, 646, 647)(365, 648, 649)(367, 651, 652)(369, 561, 654)(370, 548, 502)(371, 656, 386)(372, 658, 659)(378, 402, 633)(380, 405, 644)(381, 667, 668)(383, 669, 493)(385, 671, 672)(387, 546, 662)(388, 555, 675)(390, 676, 677)(391, 678, 441)(393, 457, 681)(394, 614, 565)(396, 683, 463)(397, 437, 650)(398, 450, 523)(399, 514, 536)(400, 440, 617)(401, 507, 627)(403, 686, 512)(406, 653, 688)(409, 439, 690)(410, 542, 432)(411, 467, 421)(412, 691, 692)(413, 693, 694)(416, 695, 427)(419, 464, 525)(422, 537, 626)(423, 504, 657)(425, 700, 508)(428, 625, 575)(430, 704, 524)(434, 641, 530)(436, 707, 443)(438, 521, 710)(442, 673, 712)(446, 526, 715)(447, 506, 716)(451, 527, 466)(452, 717, 718)(454, 720, 721)(468, 543, 643)(471, 520, 674)(476, 696, 731)(478, 594, 584)(481, 703, 713)(482, 729, 687)(483, 734, 709)(485, 705, 545)(487, 605, 607)(488, 736, 708)(494, 661, 587)(496, 739, 724)(505, 742, 510)(509, 636, 743)(518, 745, 746)(528, 533, 615)(540, 595, 598)(549, 665, 666)(552, 585, 588)(556, 684, 685)(559, 566, 576)(597, 680, 679)(601, 737, 741)(602, 623, 611)(606, 702, 701)(621, 747, 706)(663, 744, 711)(682, 689, 728)(697, 714, 750)(698, 726, 730)(699, 735, 727)(719, 748, 740)(733, 749, 738)
	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, 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, 171)(172, 246)(173, 247)(174, 248)(175, 249)(176, 250)(177, 251)(178, 252)(179, 253)(180, 254)(181, 255)(182, 256)(183, 257)(184, 258)(185, 259)(186, 260)(187, 261)(188, 262)(189, 263)(190, 264)(191, 265)(192, 266)(193, 267)(194, 268)(195, 269)(196, 270)(197, 271)(198, 272)(199, 273)(200, 274)(201, 275)(217, 433)(218, 435)(219, 436)(220, 438)(221, 412)(222, 394)(223, 441)(224, 344)(225, 444)(226, 446)(227, 448)(228, 450)(229, 378)(230, 310)(231, 453)(232, 455)(233, 456)(234, 457)(235, 459)(236, 460)(237, 461)(238, 399)(239, 463)(240, 434)(241, 465)(242, 467)(243, 469)(244, 418)(245, 471)(276, 503)(277, 415)(278, 505)(279, 420)(280, 452)(281, 428)(282, 508)(283, 329)(284, 404)(285, 417)(286, 513)(287, 515)(288, 397)(289, 306)(290, 517)(291, 519)(292, 424)(293, 416)(294, 521)(295, 522)(296, 523)(297, 432)(298, 524)(299, 504)(300, 526)(301, 527)(302, 529)(303, 462)(304, 532)(305, 536)(307, 542)(308, 545)(309, 548)(311, 549)(312, 555)(313, 558)(314, 556)(315, 562)(316, 565)(317, 543)(318, 572)(319, 575)(320, 533)(321, 582)(322, 584)(323, 587)(324, 537)(325, 593)(326, 594)(327, 597)(328, 540)(330, 590)(331, 546)(332, 602)(333, 604)(334, 478)(335, 606)(336, 487)(337, 568)(338, 553)(339, 611)(340, 613)(341, 614)(342, 454)(343, 552)(345, 578)(346, 561)(347, 623)(348, 616)(349, 625)(350, 518)(351, 400)(352, 569)(353, 530)(354, 633)(355, 559)(356, 407)(357, 599)(358, 439)(359, 641)(360, 596)(361, 479)(362, 413)(363, 401)(364, 579)(365, 423)(366, 650)(367, 566)(368, 443)(369, 609)(370, 506)(371, 657)(372, 474)(373, 560)(374, 661)(375, 494)(376, 663)(377, 534)(379, 656)(380, 381)(382, 591)(383, 470)(384, 670)(385, 576)(386, 510)(387, 619)(388, 403)(389, 497)(390, 586)(391, 567)(392, 679)(393, 680)(395, 682)(396, 538)(398, 637)(402, 581)(405, 687)(406, 585)(408, 689)(409, 629)(410, 601)(411, 675)(414, 535)(419, 588)(421, 697)(422, 634)(425, 577)(426, 701)(427, 702)(429, 703)(430, 544)(431, 640)(437, 592)(440, 706)(442, 595)(445, 713)(447, 646)(449, 482)(451, 472)(458, 541)(464, 598)(466, 476)(468, 651)(473, 728)(475, 677)(477, 631)(480, 707)(481, 547)(483, 622)(484, 571)(485, 725)(486, 735)(488, 589)(489, 721)(490, 714)(491, 738)(492, 708)(493, 720)(495, 683)(496, 550)(498, 684)(499, 709)(500, 724)(501, 719)(502, 516)(507, 741)(509, 605)(511, 744)(512, 667)(514, 621)(520, 531)(525, 607)(528, 671)(539, 727)(551, 699)(554, 711)(557, 674)(563, 739)(564, 639)(570, 746)(573, 704)(574, 655)(580, 694)(583, 664)(600, 668)(603, 729)(608, 726)(610, 630)(612, 747)(615, 730)(617, 672)(618, 712)(620, 647)(624, 737)(626, 736)(627, 635)(628, 743)(632, 745)(636, 705)(638, 660)(642, 716)(643, 748)(644, 652)(645, 688)(648, 691)(649, 693)(653, 666)(654, 678)(658, 686)(659, 742)(662, 700)(665, 715)(669, 717)(673, 685)(676, 690)(681, 749)(692, 750)(695, 733)(696, 722)(698, 710)(718, 731)(723, 740)(732, 734)
	local type(s) :: { ( 10^3 ) }
Outer automorphisms :: reflexible
Dual of E26.1544
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 250 e = 375 f = 75
	degree seq :: [ 3^250 ]

E26.1546 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 10})
Quotient :: edge
Aut^+ = $<750, 5>$ (small group id <750, 5>)
Aut   = $<1500, 37>$ (small group id <1500, 37>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T2^-1 * T1)^10, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1, (T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1)^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, 247, 248)(188, 249, 250)(189, 251, 252)(190, 253, 254)(191, 255, 256)(192, 257, 258)(193, 259, 260)(194, 261, 262)(195, 263, 264)(196, 265, 266)(197, 267, 268)(198, 269, 270)(199, 271, 272)(200, 273, 274)(201, 275, 202)(203, 276, 277)(204, 278, 279)(205, 280, 281)(206, 282, 283)(207, 284, 285)(208, 286, 287)(209, 288, 289)(210, 290, 291)(211, 292, 293)(212, 294, 295)(213, 296, 297)(214, 298, 299)(215, 300, 301)(216, 302, 303)(217, 426, 531)(218, 433, 412)(219, 435, 660)(220, 437, 707)(221, 438, 705)(222, 440, 405)(223, 398, 677)(224, 442, 392)(225, 443, 603)(226, 444, 508)(227, 446, 711)(228, 448, 425)(229, 450, 421)(230, 334, 565)(231, 314, 232)(233, 453, 481)(234, 454, 506)(235, 456, 718)(236, 457, 502)(237, 459, 521)(238, 409, 345)(239, 408, 681)(240, 460, 401)(241, 462, 415)(242, 464, 423)(243, 466, 722)(244, 468, 509)(245, 470, 725)(246, 370, 538)(304, 532, 534)(305, 535, 537)(306, 539, 541)(307, 543, 545)(308, 546, 548)(309, 486, 484)(310, 551, 553)(311, 554, 555)(312, 516, 514)(313, 557, 559)(315, 562, 564)(316, 566, 567)(317, 568, 569)(318, 570, 571)(319, 488, 573)(320, 574, 482)(321, 576, 458)(322, 578, 579)(323, 580, 582)(324, 584, 585)(325, 586, 424)(326, 497, 588)(327, 589, 479)(328, 592, 593)(329, 518, 594)(330, 402, 595)(331, 583, 512)(332, 399, 598)(333, 491, 599)(335, 601, 602)(336, 385, 604)(337, 591, 558)(338, 383, 607)(339, 608, 609)(340, 610, 368)(341, 530, 605)(342, 522, 366)(343, 613, 614)(344, 406, 615)(346, 616, 395)(347, 619, 620)(348, 621, 358)(349, 623, 596)(350, 624, 356)(351, 626, 627)(352, 388, 628)(353, 629, 380)(354, 632, 633)(355, 634, 635)(357, 612, 547)(359, 638, 639)(360, 640, 641)(361, 378, 642)(362, 618, 471)(363, 376, 644)(364, 445, 645)(365, 646, 524)(367, 625, 540)(369, 480, 650)(371, 526, 653)(372, 393, 654)(373, 631, 432)(374, 390, 656)(375, 416, 657)(377, 658, 600)(379, 659, 661)(381, 662, 387)(382, 664, 665)(384, 667, 575)(386, 668, 655)(389, 670, 449)(391, 672, 496)(394, 475, 503)(396, 517, 404)(397, 675, 676)(400, 473, 477)(403, 679, 643)(407, 666, 418)(410, 630, 544)(411, 527, 684)(413, 510, 687)(414, 542, 498)(417, 690, 692)(419, 429, 669)(420, 693, 493)(422, 663, 533)(427, 495, 699)(428, 501, 700)(430, 701, 703)(431, 499, 622)(434, 617, 550)(436, 706, 704)(439, 683, 708)(441, 549, 560)(447, 714, 713)(451, 465, 680)(452, 695, 716)(455, 674, 536)(461, 696, 686)(463, 717, 694)(467, 726, 724)(469, 561, 611)(472, 709, 529)(474, 520, 728)(476, 485, 729)(478, 507, 636)(483, 733, 715)(487, 528, 511)(489, 500, 505)(490, 494, 736)(492, 737, 606)(504, 515, 727)(513, 741, 742)(519, 525, 719)(523, 744, 637)(552, 710, 732)(556, 587, 590)(563, 577, 581)(572, 673, 671)(597, 712, 739)(647, 738, 748)(648, 749, 720)(649, 723, 735)(651, 697, 688)(652, 698, 689)(678, 747, 691)(682, 731, 746)(685, 721, 743)(702, 734, 745)(730, 750, 740)(751, 752)(753, 757)(754, 758)(755, 759)(756, 760)(761, 769)(762, 770)(763, 771)(764, 772)(765, 773)(766, 774)(767, 775)(768, 776)(777, 793)(778, 794)(779, 795)(780, 796)(781, 797)(782, 798)(783, 799)(784, 800)(785, 801)(786, 802)(787, 803)(788, 804)(789, 805)(790, 806)(791, 807)(792, 808)(809, 841)(810, 842)(811, 843)(812, 844)(813, 845)(814, 846)(815, 847)(816, 848)(817, 849)(818, 850)(819, 851)(820, 852)(821, 853)(822, 854)(823, 855)(824, 856)(825, 857)(826, 858)(827, 859)(828, 860)(829, 861)(830, 862)(831, 863)(832, 864)(833, 865)(834, 866)(835, 867)(836, 868)(837, 869)(838, 870)(839, 871)(840, 872)(873, 936)(874, 937)(875, 938)(876, 939)(877, 940)(878, 941)(879, 942)(880, 943)(881, 944)(882, 945)(883, 946)(884, 947)(885, 948)(886, 949)(887, 950)(888, 951)(889, 952)(890, 953)(891, 954)(892, 955)(893, 956)(894, 957)(895, 958)(896, 959)(897, 960)(898, 961)(899, 962)(900, 963)(901, 964)(902, 965)(903, 966)(904, 905)(906, 967)(907, 968)(908, 969)(909, 970)(910, 971)(911, 972)(912, 973)(913, 974)(914, 975)(915, 976)(916, 977)(917, 978)(918, 979)(919, 980)(920, 981)(921, 982)(922, 983)(923, 984)(924, 985)(925, 986)(926, 987)(927, 988)(928, 989)(929, 990)(930, 991)(931, 992)(932, 993)(933, 994)(934, 995)(935, 996)(997, 1075)(998, 1055)(999, 1178)(1000, 1224)(1001, 1141)(1002, 1226)(1003, 1227)(1004, 1228)(1005, 1194)(1006, 1161)(1007, 1230)(1008, 1092)(1009, 1232)(1010, 1234)(1011, 1236)(1012, 1237)(1013, 1193)(1014, 1080)(1015, 1188)(1016, 1209)(1017, 1200)(1018, 1243)(1019, 1244)(1020, 1245)(1021, 1196)(1022, 1167)(1023, 1096)(1024, 1063)(1025, 1248)(1026, 1090)(1027, 1060)(1028, 1122)(1029, 1252)(1030, 1222)(1031, 1254)(1032, 1255)(1033, 1256)(1034, 1258)(1035, 1173)(1036, 1260)(1037, 1095)(1038, 1262)(1039, 1264)(1040, 1266)(1041, 1267)(1042, 1257)(1043, 1083)(1044, 1270)(1045, 1271)(1046, 1272)(1047, 1274)(1048, 1275)(1049, 1276)(1050, 1277)(1051, 1180)(1052, 1077)(1053, 1058)(1054, 1281)(1056, 1288)(1057, 1292)(1059, 1299)(1061, 1231)(1062, 1191)(1064, 1310)(1065, 1164)(1066, 1315)(1067, 1261)(1068, 1146)(1069, 1322)(1070, 1131)(1071, 1176)(1072, 1324)(1073, 1120)(1074, 1333)(1076, 1320)(1078, 1341)(1079, 1201)(1081, 1138)(1082, 1347)(1084, 1103)(1085, 1169)(1086, 1353)(1087, 1156)(1088, 1356)(1089, 1165)(1091, 1304)(1093, 1362)(1094, 1318)(1097, 1368)(1098, 1203)(1099, 1301)(1100, 1155)(1101, 1375)(1102, 1238)(1104, 1381)(1105, 1182)(1106, 1386)(1107, 1247)(1108, 1387)(1109, 1177)(1110, 1125)(1111, 1204)(1112, 1280)(1113, 1393)(1114, 1121)(1115, 1221)(1116, 1398)(1117, 1328)(1118, 1399)(1119, 1211)(1123, 1373)(1124, 1405)(1126, 1278)(1127, 1185)(1128, 1246)(1129, 1380)(1130, 1268)(1132, 1407)(1133, 1154)(1134, 1285)(1135, 1279)(1136, 1413)(1137, 1149)(1139, 1419)(1140, 1421)(1142, 1423)(1143, 1350)(1144, 1367)(1145, 1351)(1147, 1395)(1148, 1321)(1150, 1282)(1151, 1412)(1152, 1401)(1153, 1424)(1157, 1430)(1158, 1308)(1159, 1433)(1160, 1334)(1162, 1435)(1163, 1436)(1166, 1408)(1168, 1377)(1170, 1297)(1171, 1197)(1172, 1316)(1174, 1445)(1175, 1446)(1179, 1417)(1181, 1411)(1183, 1213)(1184, 1342)(1186, 1455)(1187, 1325)(1189, 1449)(1190, 1388)(1192, 1293)(1195, 1422)(1198, 1397)(1199, 1364)(1202, 1290)(1205, 1307)(1206, 1447)(1207, 1302)(1208, 1443)(1210, 1312)(1212, 1470)(1214, 1471)(1215, 1223)(1216, 1374)(1217, 1475)(1218, 1402)(1219, 1253)(1220, 1456)(1225, 1340)(1229, 1384)(1233, 1359)(1235, 1305)(1239, 1289)(1240, 1378)(1241, 1438)(1242, 1482)(1249, 1489)(1250, 1462)(1251, 1346)(1259, 1390)(1263, 1389)(1265, 1319)(1269, 1379)(1273, 1454)(1283, 1493)(1284, 1479)(1286, 1478)(1287, 1480)(1291, 1477)(1294, 1485)(1295, 1427)(1296, 1460)(1298, 1452)(1300, 1494)(1303, 1490)(1306, 1429)(1309, 1441)(1311, 1487)(1313, 1418)(1314, 1431)(1317, 1465)(1323, 1495)(1326, 1486)(1327, 1376)(1329, 1492)(1330, 1469)(1331, 1409)(1332, 1396)(1335, 1426)(1336, 1488)(1337, 1363)(1338, 1496)(1339, 1448)(1343, 1415)(1344, 1474)(1345, 1476)(1348, 1497)(1349, 1428)(1352, 1453)(1354, 1451)(1355, 1467)(1357, 1483)(1358, 1459)(1360, 1481)(1361, 1369)(1365, 1498)(1366, 1439)(1370, 1383)(1371, 1491)(1372, 1382)(1385, 1472)(1391, 1442)(1392, 1440)(1394, 1425)(1400, 1432)(1403, 1463)(1404, 1464)(1406, 1414)(1410, 1500)(1416, 1420)(1434, 1473)(1437, 1444)(1450, 1458)(1457, 1499)(1461, 1466)(1468, 1484)
	L = (1, 751)(2, 752)(3, 753)(4, 754)(5, 755)(6, 756)(7, 757)(8, 758)(9, 759)(10, 760)(11, 761)(12, 762)(13, 763)(14, 764)(15, 765)(16, 766)(17, 767)(18, 768)(19, 769)(20, 770)(21, 771)(22, 772)(23, 773)(24, 774)(25, 775)(26, 776)(27, 777)(28, 778)(29, 779)(30, 780)(31, 781)(32, 782)(33, 783)(34, 784)(35, 785)(36, 786)(37, 787)(38, 788)(39, 789)(40, 790)(41, 791)(42, 792)(43, 793)(44, 794)(45, 795)(46, 796)(47, 797)(48, 798)(49, 799)(50, 800)(51, 801)(52, 802)(53, 803)(54, 804)(55, 805)(56, 806)(57, 807)(58, 808)(59, 809)(60, 810)(61, 811)(62, 812)(63, 813)(64, 814)(65, 815)(66, 816)(67, 817)(68, 818)(69, 819)(70, 820)(71, 821)(72, 822)(73, 823)(74, 824)(75, 825)(76, 826)(77, 827)(78, 828)(79, 829)(80, 830)(81, 831)(82, 832)(83, 833)(84, 834)(85, 835)(86, 836)(87, 837)(88, 838)(89, 839)(90, 840)(91, 841)(92, 842)(93, 843)(94, 844)(95, 845)(96, 846)(97, 847)(98, 848)(99, 849)(100, 850)(101, 851)(102, 852)(103, 853)(104, 854)(105, 855)(106, 856)(107, 857)(108, 858)(109, 859)(110, 860)(111, 861)(112, 862)(113, 863)(114, 864)(115, 865)(116, 866)(117, 867)(118, 868)(119, 869)(120, 870)(121, 871)(122, 872)(123, 873)(124, 874)(125, 875)(126, 876)(127, 877)(128, 878)(129, 879)(130, 880)(131, 881)(132, 882)(133, 883)(134, 884)(135, 885)(136, 886)(137, 887)(138, 888)(139, 889)(140, 890)(141, 891)(142, 892)(143, 893)(144, 894)(145, 895)(146, 896)(147, 897)(148, 898)(149, 899)(150, 900)(151, 901)(152, 902)(153, 903)(154, 904)(155, 905)(156, 906)(157, 907)(158, 908)(159, 909)(160, 910)(161, 911)(162, 912)(163, 913)(164, 914)(165, 915)(166, 916)(167, 917)(168, 918)(169, 919)(170, 920)(171, 921)(172, 922)(173, 923)(174, 924)(175, 925)(176, 926)(177, 927)(178, 928)(179, 929)(180, 930)(181, 931)(182, 932)(183, 933)(184, 934)(185, 935)(186, 936)(187, 937)(188, 938)(189, 939)(190, 940)(191, 941)(192, 942)(193, 943)(194, 944)(195, 945)(196, 946)(197, 947)(198, 948)(199, 949)(200, 950)(201, 951)(202, 952)(203, 953)(204, 954)(205, 955)(206, 956)(207, 957)(208, 958)(209, 959)(210, 960)(211, 961)(212, 962)(213, 963)(214, 964)(215, 965)(216, 966)(217, 967)(218, 968)(219, 969)(220, 970)(221, 971)(222, 972)(223, 973)(224, 974)(225, 975)(226, 976)(227, 977)(228, 978)(229, 979)(230, 980)(231, 981)(232, 982)(233, 983)(234, 984)(235, 985)(236, 986)(237, 987)(238, 988)(239, 989)(240, 990)(241, 991)(242, 992)(243, 993)(244, 994)(245, 995)(246, 996)(247, 997)(248, 998)(249, 999)(250, 1000)(251, 1001)(252, 1002)(253, 1003)(254, 1004)(255, 1005)(256, 1006)(257, 1007)(258, 1008)(259, 1009)(260, 1010)(261, 1011)(262, 1012)(263, 1013)(264, 1014)(265, 1015)(266, 1016)(267, 1017)(268, 1018)(269, 1019)(270, 1020)(271, 1021)(272, 1022)(273, 1023)(274, 1024)(275, 1025)(276, 1026)(277, 1027)(278, 1028)(279, 1029)(280, 1030)(281, 1031)(282, 1032)(283, 1033)(284, 1034)(285, 1035)(286, 1036)(287, 1037)(288, 1038)(289, 1039)(290, 1040)(291, 1041)(292, 1042)(293, 1043)(294, 1044)(295, 1045)(296, 1046)(297, 1047)(298, 1048)(299, 1049)(300, 1050)(301, 1051)(302, 1052)(303, 1053)(304, 1054)(305, 1055)(306, 1056)(307, 1057)(308, 1058)(309, 1059)(310, 1060)(311, 1061)(312, 1062)(313, 1063)(314, 1064)(315, 1065)(316, 1066)(317, 1067)(318, 1068)(319, 1069)(320, 1070)(321, 1071)(322, 1072)(323, 1073)(324, 1074)(325, 1075)(326, 1076)(327, 1077)(328, 1078)(329, 1079)(330, 1080)(331, 1081)(332, 1082)(333, 1083)(334, 1084)(335, 1085)(336, 1086)(337, 1087)(338, 1088)(339, 1089)(340, 1090)(341, 1091)(342, 1092)(343, 1093)(344, 1094)(345, 1095)(346, 1096)(347, 1097)(348, 1098)(349, 1099)(350, 1100)(351, 1101)(352, 1102)(353, 1103)(354, 1104)(355, 1105)(356, 1106)(357, 1107)(358, 1108)(359, 1109)(360, 1110)(361, 1111)(362, 1112)(363, 1113)(364, 1114)(365, 1115)(366, 1116)(367, 1117)(368, 1118)(369, 1119)(370, 1120)(371, 1121)(372, 1122)(373, 1123)(374, 1124)(375, 1125)(376, 1126)(377, 1127)(378, 1128)(379, 1129)(380, 1130)(381, 1131)(382, 1132)(383, 1133)(384, 1134)(385, 1135)(386, 1136)(387, 1137)(388, 1138)(389, 1139)(390, 1140)(391, 1141)(392, 1142)(393, 1143)(394, 1144)(395, 1145)(396, 1146)(397, 1147)(398, 1148)(399, 1149)(400, 1150)(401, 1151)(402, 1152)(403, 1153)(404, 1154)(405, 1155)(406, 1156)(407, 1157)(408, 1158)(409, 1159)(410, 1160)(411, 1161)(412, 1162)(413, 1163)(414, 1164)(415, 1165)(416, 1166)(417, 1167)(418, 1168)(419, 1169)(420, 1170)(421, 1171)(422, 1172)(423, 1173)(424, 1174)(425, 1175)(426, 1176)(427, 1177)(428, 1178)(429, 1179)(430, 1180)(431, 1181)(432, 1182)(433, 1183)(434, 1184)(435, 1185)(436, 1186)(437, 1187)(438, 1188)(439, 1189)(440, 1190)(441, 1191)(442, 1192)(443, 1193)(444, 1194)(445, 1195)(446, 1196)(447, 1197)(448, 1198)(449, 1199)(450, 1200)(451, 1201)(452, 1202)(453, 1203)(454, 1204)(455, 1205)(456, 1206)(457, 1207)(458, 1208)(459, 1209)(460, 1210)(461, 1211)(462, 1212)(463, 1213)(464, 1214)(465, 1215)(466, 1216)(467, 1217)(468, 1218)(469, 1219)(470, 1220)(471, 1221)(472, 1222)(473, 1223)(474, 1224)(475, 1225)(476, 1226)(477, 1227)(478, 1228)(479, 1229)(480, 1230)(481, 1231)(482, 1232)(483, 1233)(484, 1234)(485, 1235)(486, 1236)(487, 1237)(488, 1238)(489, 1239)(490, 1240)(491, 1241)(492, 1242)(493, 1243)(494, 1244)(495, 1245)(496, 1246)(497, 1247)(498, 1248)(499, 1249)(500, 1250)(501, 1251)(502, 1252)(503, 1253)(504, 1254)(505, 1255)(506, 1256)(507, 1257)(508, 1258)(509, 1259)(510, 1260)(511, 1261)(512, 1262)(513, 1263)(514, 1264)(515, 1265)(516, 1266)(517, 1267)(518, 1268)(519, 1269)(520, 1270)(521, 1271)(522, 1272)(523, 1273)(524, 1274)(525, 1275)(526, 1276)(527, 1277)(528, 1278)(529, 1279)(530, 1280)(531, 1281)(532, 1282)(533, 1283)(534, 1284)(535, 1285)(536, 1286)(537, 1287)(538, 1288)(539, 1289)(540, 1290)(541, 1291)(542, 1292)(543, 1293)(544, 1294)(545, 1295)(546, 1296)(547, 1297)(548, 1298)(549, 1299)(550, 1300)(551, 1301)(552, 1302)(553, 1303)(554, 1304)(555, 1305)(556, 1306)(557, 1307)(558, 1308)(559, 1309)(560, 1310)(561, 1311)(562, 1312)(563, 1313)(564, 1314)(565, 1315)(566, 1316)(567, 1317)(568, 1318)(569, 1319)(570, 1320)(571, 1321)(572, 1322)(573, 1323)(574, 1324)(575, 1325)(576, 1326)(577, 1327)(578, 1328)(579, 1329)(580, 1330)(581, 1331)(582, 1332)(583, 1333)(584, 1334)(585, 1335)(586, 1336)(587, 1337)(588, 1338)(589, 1339)(590, 1340)(591, 1341)(592, 1342)(593, 1343)(594, 1344)(595, 1345)(596, 1346)(597, 1347)(598, 1348)(599, 1349)(600, 1350)(601, 1351)(602, 1352)(603, 1353)(604, 1354)(605, 1355)(606, 1356)(607, 1357)(608, 1358)(609, 1359)(610, 1360)(611, 1361)(612, 1362)(613, 1363)(614, 1364)(615, 1365)(616, 1366)(617, 1367)(618, 1368)(619, 1369)(620, 1370)(621, 1371)(622, 1372)(623, 1373)(624, 1374)(625, 1375)(626, 1376)(627, 1377)(628, 1378)(629, 1379)(630, 1380)(631, 1381)(632, 1382)(633, 1383)(634, 1384)(635, 1385)(636, 1386)(637, 1387)(638, 1388)(639, 1389)(640, 1390)(641, 1391)(642, 1392)(643, 1393)(644, 1394)(645, 1395)(646, 1396)(647, 1397)(648, 1398)(649, 1399)(650, 1400)(651, 1401)(652, 1402)(653, 1403)(654, 1404)(655, 1405)(656, 1406)(657, 1407)(658, 1408)(659, 1409)(660, 1410)(661, 1411)(662, 1412)(663, 1413)(664, 1414)(665, 1415)(666, 1416)(667, 1417)(668, 1418)(669, 1419)(670, 1420)(671, 1421)(672, 1422)(673, 1423)(674, 1424)(675, 1425)(676, 1426)(677, 1427)(678, 1428)(679, 1429)(680, 1430)(681, 1431)(682, 1432)(683, 1433)(684, 1434)(685, 1435)(686, 1436)(687, 1437)(688, 1438)(689, 1439)(690, 1440)(691, 1441)(692, 1442)(693, 1443)(694, 1444)(695, 1445)(696, 1446)(697, 1447)(698, 1448)(699, 1449)(700, 1450)(701, 1451)(702, 1452)(703, 1453)(704, 1454)(705, 1455)(706, 1456)(707, 1457)(708, 1458)(709, 1459)(710, 1460)(711, 1461)(712, 1462)(713, 1463)(714, 1464)(715, 1465)(716, 1466)(717, 1467)(718, 1468)(719, 1469)(720, 1470)(721, 1471)(722, 1472)(723, 1473)(724, 1474)(725, 1475)(726, 1476)(727, 1477)(728, 1478)(729, 1479)(730, 1480)(731, 1481)(732, 1482)(733, 1483)(734, 1484)(735, 1485)(736, 1486)(737, 1487)(738, 1488)(739, 1489)(740, 1490)(741, 1491)(742, 1492)(743, 1493)(744, 1494)(745, 1495)(746, 1496)(747, 1497)(748, 1498)(749, 1499)(750, 1500)
	local type(s) :: { ( 20, 20 ), ( 20^3 ) }
Outer automorphisms :: reflexible
Dual of E26.1550
Transitivity :: ET+
Graph:: simple bipartite
	v = 625 e = 750 f = 75
	degree seq :: [ 2^375, 3^250 ]

E26.1547 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 10})
Quotient :: edge
Aut^+ = $<750, 5>$ (small group id <750, 5>)
Aut   = $<1500, 37>$ (small group id <1500, 37>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2^-1 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T2^10, T2 * T1^-1 * T2^-2 * T1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^3 * T1^-1 * T2^2 * T1^-1, T1 * T2^-4 * T1^-1 * T2^2 * T1^-1 * T2^-4 * T1 * T2^4, T2^2 * T1^-1 * T2^2 * T1^-1 * T2^-2 * T1 * T2^-2 * T1 * T2^-3 * T1^-1 * T2 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 9, 19, 37, 67, 48, 26, 13, 5)(2, 6, 14, 27, 50, 88, 58, 32, 16, 7)(4, 11, 22, 41, 74, 106, 62, 34, 17, 8)(10, 21, 40, 71, 121, 182, 110, 64, 35, 18)(12, 23, 43, 77, 130, 212, 136, 80, 44, 24)(15, 29, 53, 92, 154, 251, 160, 95, 54, 30)(20, 39, 70, 118, 195, 302, 186, 112, 65, 36)(25, 45, 81, 137, 222, 359, 228, 140, 82, 46)(28, 52, 91, 151, 246, 383, 237, 145, 86, 49)(31, 55, 96, 161, 261, 420, 267, 164, 97, 56)(33, 59, 101, 168, 274, 441, 280, 171, 102, 60)(38, 69, 117, 192, 313, 483, 306, 188, 113, 66)(42, 76, 128, 208, 338, 486, 331, 204, 124, 73)(47, 83, 141, 229, 369, 431, 375, 232, 142, 84)(51, 90, 150, 243, 394, 305, 387, 239, 146, 87)(57, 98, 165, 268, 430, 452, 436, 271, 166, 99)(61, 103, 172, 281, 451, 370, 457, 284, 173, 104)(63, 107, 177, 288, 464, 515, 466, 291, 178, 108)(68, 116, 191, 310, 489, 622, 487, 308, 189, 114)(72, 123, 202, 326, 507, 376, 502, 322, 198, 120)(75, 127, 207, 335, 517, 386, 482, 333, 205, 125)(78, 132, 215, 348, 530, 437, 526, 342, 210, 129)(79, 133, 216, 350, 488, 311, 491, 353, 217, 134)(85, 115, 190, 309, 421, 585, 550, 377, 233, 143)(89, 149, 242, 391, 562, 478, 301, 389, 240, 147)(93, 156, 254, 409, 576, 460, 573, 403, 249, 153)(94, 157, 255, 411, 561, 392, 564, 414, 256, 158)(100, 148, 241, 390, 442, 597, 594, 438, 272, 167)(105, 174, 285, 458, 360, 540, 607, 461, 286, 175)(109, 179, 292, 467, 358, 223, 361, 469, 293, 180)(111, 183, 297, 473, 617, 635, 618, 475, 298, 184)(119, 197, 320, 413, 373, 231, 372, 496, 316, 194)(122, 201, 325, 506, 511, 330, 510, 504, 323, 199)(126, 206, 334, 514, 639, 556, 382, 462, 287, 176)(131, 214, 347, 477, 300, 185, 299, 476, 343, 211)(135, 218, 354, 533, 419, 262, 422, 535, 355, 219)(138, 224, 362, 541, 654, 650, 653, 538, 357, 221)(139, 225, 363, 492, 312, 193, 315, 410, 364, 226)(144, 234, 378, 551, 662, 646, 663, 553, 379, 235)(152, 248, 401, 290, 434, 270, 433, 568, 397, 245)(155, 253, 408, 555, 381, 236, 380, 554, 404, 250)(159, 257, 415, 579, 440, 275, 443, 581, 416, 258)(162, 263, 423, 586, 679, 677, 678, 584, 418, 260)(163, 264, 424, 565, 393, 244, 396, 327, 425, 265)(169, 276, 444, 598, 686, 614, 685, 596, 439, 273)(170, 277, 445, 599, 516, 336, 519, 349, 446, 278)(181, 294, 470, 344, 213, 346, 529, 615, 471, 295)(187, 303, 480, 620, 697, 702, 698, 621, 481, 304)(196, 319, 402, 571, 631, 501, 549, 628, 497, 317)(200, 324, 505, 634, 582, 417, 259, 406, 472, 296)(203, 328, 508, 636, 703, 674, 704, 638, 509, 329)(209, 340, 499, 352, 455, 283, 454, 603, 520, 337)(220, 345, 528, 405, 252, 407, 575, 651, 536, 356)(227, 365, 542, 623, 490, 532, 647, 577, 412, 366)(230, 371, 545, 658, 714, 711, 713, 657, 544, 368)(238, 384, 558, 665, 716, 719, 717, 666, 559, 385)(247, 400, 321, 500, 630, 525, 593, 671, 569, 398)(266, 426, 587, 667, 563, 578, 608, 463, 289, 427)(269, 432, 589, 682, 725, 723, 715, 659, 548, 429)(279, 447, 600, 687, 609, 465, 610, 531, 351, 448)(282, 453, 602, 690, 729, 728, 726, 683, 592, 450)(307, 484, 522, 643, 707, 724, 681, 588, 428, 485)(314, 495, 595, 661, 552, 547, 374, 546, 625, 493)(318, 498, 629, 701, 689, 601, 449, 560, 388, 479)(332, 512, 494, 626, 699, 734, 730, 694, 611, 513)(339, 523, 341, 524, 644, 572, 606, 692, 642, 521)(367, 539, 459, 557, 399, 570, 672, 712, 656, 543)(395, 567, 537, 652, 637, 591, 435, 590, 669, 566)(456, 604, 691, 640, 518, 641, 583, 616, 474, 605)(468, 613, 695, 731, 745, 744, 735, 706, 693, 612)(503, 632, 624, 655, 710, 738, 746, 732, 696, 633)(527, 619, 668, 680, 722, 742, 748, 736, 708, 645)(534, 649, 709, 737, 747, 733, 700, 627, 660, 648)(574, 664, 705, 688, 727, 743, 750, 740, 720, 673)(580, 676, 721, 741, 749, 739, 718, 670, 684, 675)(751, 752, 754)(753, 758, 760)(755, 762, 756)(757, 765, 761)(759, 768, 770)(763, 775, 773)(764, 774, 778)(766, 781, 779)(767, 783, 771)(769, 786, 788)(772, 780, 792)(776, 797, 795)(777, 799, 801)(782, 807, 805)(784, 811, 809)(785, 813, 789)(787, 816, 818)(790, 810, 822)(791, 823, 825)(793, 796, 828)(794, 829, 802)(798, 835, 833)(800, 837, 839)(803, 806, 843)(804, 844, 826)(808, 850, 848)(812, 855, 853)(814, 859, 857)(815, 861, 819)(817, 864, 865)(820, 858, 869)(821, 870, 872)(824, 875, 876)(827, 879, 881)(830, 885, 883)(831, 834, 888)(832, 889, 882)(836, 894, 840)(838, 897, 898)(841, 884, 902)(842, 903, 905)(845, 909, 907)(846, 849, 912)(847, 913, 906)(851, 854, 919)(852, 920, 873)(856, 926, 924)(860, 931, 929)(862, 935, 933)(863, 937, 866)(867, 934, 943)(868, 944, 946)(871, 949, 950)(874, 953, 877)(878, 908, 959)(880, 961, 963)(886, 970, 968)(887, 971, 973)(890, 977, 975)(891, 893, 980)(892, 981, 974)(895, 986, 984)(896, 988, 899)(900, 985, 994)(901, 995, 997)(904, 1000, 1002)(910, 1009, 1007)(911, 1010, 1012)(914, 1016, 1014)(915, 917, 1019)(916, 1020, 1013)(918, 1023, 1025)(921, 1029, 1027)(922, 925, 1032)(923, 1033, 1026)(927, 930, 1039)(928, 1040, 947)(932, 1046, 1044)(936, 1051, 1049)(938, 1055, 1053)(939, 1057, 940)(941, 1054, 1061)(942, 1062, 1064)(945, 1067, 1068)(948, 1071, 951)(952, 1028, 1077)(954, 1080, 1078)(955, 1082, 956)(957, 1079, 1086)(958, 1087, 1089)(960, 1091, 964)(962, 1094, 1095)(965, 976, 1099)(966, 969, 1101)(967, 1102, 998)(972, 1108, 1110)(978, 1117, 1115)(979, 1118, 1120)(982, 1124, 1122)(983, 1126, 1121)(987, 1132, 1130)(989, 1136, 1134)(990, 1138, 991)(992, 1135, 1142)(993, 1143, 1145)(996, 1148, 1149)(999, 1152, 1003)(1001, 1155, 1156)(1004, 1015, 1160)(1005, 1008, 1162)(1006, 1163, 1090)(1011, 1169, 1171)(1017, 1178, 1176)(1018, 1179, 1181)(1021, 1185, 1183)(1022, 1187, 1182)(1024, 1190, 1192)(1030, 1199, 1197)(1031, 1200, 1202)(1034, 1206, 1204)(1035, 1037, 1209)(1036, 1210, 1203)(1038, 1213, 1215)(1041, 1173, 1184)(1042, 1045, 1218)(1043, 1174, 1177)(1047, 1050, 1224)(1048, 1159, 1065)(1052, 1229, 1139)(1056, 1232, 1137)(1058, 1236, 1234)(1059, 1235, 1170)(1060, 1238, 1240)(1063, 1243, 1244)(1066, 1158, 1069)(1070, 1151, 1249)(1072, 1251, 1250)(1073, 1253, 1074)(1075, 1150, 1147)(1076, 1146, 1129)(1081, 1237, 1260)(1083, 1233, 1262)(1084, 1263, 1265)(1085, 1266, 1268)(1088, 1271, 1272)(1092, 1275, 1274)(1093, 1277, 1096)(1097, 1273, 1270)(1098, 1269, 1259)(1100, 1281, 1282)(1103, 1194, 1205)(1104, 1106, 1284)(1105, 1195, 1198)(1107, 1287, 1111)(1109, 1208, 1289)(1112, 1123, 1164)(1113, 1116, 1166)(1114, 1175, 1196)(1119, 1201, 1180)(1125, 1298, 1296)(1127, 1299, 1252)(1128, 1131, 1302)(1133, 1307, 1212)(1140, 1310, 1191)(1141, 1311, 1313)(1144, 1316, 1230)(1153, 1322, 1321)(1154, 1324, 1157)(1161, 1327, 1328)(1165, 1167, 1330)(1168, 1333, 1172)(1186, 1342, 1340)(1188, 1343, 1276)(1189, 1345, 1193)(1207, 1294, 1354)(1211, 1356, 1323)(1214, 1359, 1264)(1216, 1361, 1336)(1217, 1362, 1290)(1219, 1317, 1315)(1220, 1222, 1278)(1221, 1364, 1363)(1223, 1366, 1334)(1225, 1352, 1326)(1226, 1228, 1369)(1227, 1353, 1355)(1231, 1348, 1241)(1239, 1373, 1374)(1242, 1331, 1245)(1246, 1297, 1305)(1247, 1377, 1248)(1254, 1372, 1382)(1255, 1383, 1385)(1256, 1318, 1341)(1257, 1303, 1295)(1258, 1261, 1387)(1267, 1390, 1308)(1279, 1395, 1396)(1280, 1388, 1339)(1283, 1398, 1335)(1285, 1391, 1349)(1286, 1400, 1399)(1288, 1386, 1402)(1291, 1314, 1309)(1292, 1293, 1405)(1300, 1410, 1378)(1301, 1411, 1346)(1304, 1306, 1414)(1312, 1417, 1418)(1319, 1420, 1320)(1325, 1423, 1424)(1329, 1425, 1347)(1332, 1427, 1426)(1337, 1338, 1430)(1344, 1434, 1421)(1350, 1351, 1438)(1357, 1443, 1442)(1358, 1397, 1360)(1365, 1412, 1435)(1367, 1428, 1384)(1368, 1446, 1440)(1370, 1419, 1433)(1371, 1445, 1436)(1375, 1409, 1376)(1379, 1450, 1452)(1380, 1381, 1394)(1389, 1437, 1455)(1392, 1456, 1393)(1401, 1453, 1403)(1404, 1416, 1459)(1406, 1461, 1460)(1407, 1415, 1441)(1408, 1413, 1458)(1422, 1468, 1469)(1429, 1444, 1471)(1431, 1473, 1472)(1432, 1454, 1470)(1439, 1478, 1477)(1447, 1476, 1451)(1448, 1483, 1481)(1449, 1465, 1474)(1457, 1485, 1484)(1462, 1466, 1463)(1464, 1486, 1488)(1467, 1489, 1487)(1475, 1490, 1492)(1479, 1482, 1493)(1480, 1494, 1491)(1495, 1497, 1499)(1496, 1498, 1500)
	L = (1, 751)(2, 752)(3, 753)(4, 754)(5, 755)(6, 756)(7, 757)(8, 758)(9, 759)(10, 760)(11, 761)(12, 762)(13, 763)(14, 764)(15, 765)(16, 766)(17, 767)(18, 768)(19, 769)(20, 770)(21, 771)(22, 772)(23, 773)(24, 774)(25, 775)(26, 776)(27, 777)(28, 778)(29, 779)(30, 780)(31, 781)(32, 782)(33, 783)(34, 784)(35, 785)(36, 786)(37, 787)(38, 788)(39, 789)(40, 790)(41, 791)(42, 792)(43, 793)(44, 794)(45, 795)(46, 796)(47, 797)(48, 798)(49, 799)(50, 800)(51, 801)(52, 802)(53, 803)(54, 804)(55, 805)(56, 806)(57, 807)(58, 808)(59, 809)(60, 810)(61, 811)(62, 812)(63, 813)(64, 814)(65, 815)(66, 816)(67, 817)(68, 818)(69, 819)(70, 820)(71, 821)(72, 822)(73, 823)(74, 824)(75, 825)(76, 826)(77, 827)(78, 828)(79, 829)(80, 830)(81, 831)(82, 832)(83, 833)(84, 834)(85, 835)(86, 836)(87, 837)(88, 838)(89, 839)(90, 840)(91, 841)(92, 842)(93, 843)(94, 844)(95, 845)(96, 846)(97, 847)(98, 848)(99, 849)(100, 850)(101, 851)(102, 852)(103, 853)(104, 854)(105, 855)(106, 856)(107, 857)(108, 858)(109, 859)(110, 860)(111, 861)(112, 862)(113, 863)(114, 864)(115, 865)(116, 866)(117, 867)(118, 868)(119, 869)(120, 870)(121, 871)(122, 872)(123, 873)(124, 874)(125, 875)(126, 876)(127, 877)(128, 878)(129, 879)(130, 880)(131, 881)(132, 882)(133, 883)(134, 884)(135, 885)(136, 886)(137, 887)(138, 888)(139, 889)(140, 890)(141, 891)(142, 892)(143, 893)(144, 894)(145, 895)(146, 896)(147, 897)(148, 898)(149, 899)(150, 900)(151, 901)(152, 902)(153, 903)(154, 904)(155, 905)(156, 906)(157, 907)(158, 908)(159, 909)(160, 910)(161, 911)(162, 912)(163, 913)(164, 914)(165, 915)(166, 916)(167, 917)(168, 918)(169, 919)(170, 920)(171, 921)(172, 922)(173, 923)(174, 924)(175, 925)(176, 926)(177, 927)(178, 928)(179, 929)(180, 930)(181, 931)(182, 932)(183, 933)(184, 934)(185, 935)(186, 936)(187, 937)(188, 938)(189, 939)(190, 940)(191, 941)(192, 942)(193, 943)(194, 944)(195, 945)(196, 946)(197, 947)(198, 948)(199, 949)(200, 950)(201, 951)(202, 952)(203, 953)(204, 954)(205, 955)(206, 956)(207, 957)(208, 958)(209, 959)(210, 960)(211, 961)(212, 962)(213, 963)(214, 964)(215, 965)(216, 966)(217, 967)(218, 968)(219, 969)(220, 970)(221, 971)(222, 972)(223, 973)(224, 974)(225, 975)(226, 976)(227, 977)(228, 978)(229, 979)(230, 980)(231, 981)(232, 982)(233, 983)(234, 984)(235, 985)(236, 986)(237, 987)(238, 988)(239, 989)(240, 990)(241, 991)(242, 992)(243, 993)(244, 994)(245, 995)(246, 996)(247, 997)(248, 998)(249, 999)(250, 1000)(251, 1001)(252, 1002)(253, 1003)(254, 1004)(255, 1005)(256, 1006)(257, 1007)(258, 1008)(259, 1009)(260, 1010)(261, 1011)(262, 1012)(263, 1013)(264, 1014)(265, 1015)(266, 1016)(267, 1017)(268, 1018)(269, 1019)(270, 1020)(271, 1021)(272, 1022)(273, 1023)(274, 1024)(275, 1025)(276, 1026)(277, 1027)(278, 1028)(279, 1029)(280, 1030)(281, 1031)(282, 1032)(283, 1033)(284, 1034)(285, 1035)(286, 1036)(287, 1037)(288, 1038)(289, 1039)(290, 1040)(291, 1041)(292, 1042)(293, 1043)(294, 1044)(295, 1045)(296, 1046)(297, 1047)(298, 1048)(299, 1049)(300, 1050)(301, 1051)(302, 1052)(303, 1053)(304, 1054)(305, 1055)(306, 1056)(307, 1057)(308, 1058)(309, 1059)(310, 1060)(311, 1061)(312, 1062)(313, 1063)(314, 1064)(315, 1065)(316, 1066)(317, 1067)(318, 1068)(319, 1069)(320, 1070)(321, 1071)(322, 1072)(323, 1073)(324, 1074)(325, 1075)(326, 1076)(327, 1077)(328, 1078)(329, 1079)(330, 1080)(331, 1081)(332, 1082)(333, 1083)(334, 1084)(335, 1085)(336, 1086)(337, 1087)(338, 1088)(339, 1089)(340, 1090)(341, 1091)(342, 1092)(343, 1093)(344, 1094)(345, 1095)(346, 1096)(347, 1097)(348, 1098)(349, 1099)(350, 1100)(351, 1101)(352, 1102)(353, 1103)(354, 1104)(355, 1105)(356, 1106)(357, 1107)(358, 1108)(359, 1109)(360, 1110)(361, 1111)(362, 1112)(363, 1113)(364, 1114)(365, 1115)(366, 1116)(367, 1117)(368, 1118)(369, 1119)(370, 1120)(371, 1121)(372, 1122)(373, 1123)(374, 1124)(375, 1125)(376, 1126)(377, 1127)(378, 1128)(379, 1129)(380, 1130)(381, 1131)(382, 1132)(383, 1133)(384, 1134)(385, 1135)(386, 1136)(387, 1137)(388, 1138)(389, 1139)(390, 1140)(391, 1141)(392, 1142)(393, 1143)(394, 1144)(395, 1145)(396, 1146)(397, 1147)(398, 1148)(399, 1149)(400, 1150)(401, 1151)(402, 1152)(403, 1153)(404, 1154)(405, 1155)(406, 1156)(407, 1157)(408, 1158)(409, 1159)(410, 1160)(411, 1161)(412, 1162)(413, 1163)(414, 1164)(415, 1165)(416, 1166)(417, 1167)(418, 1168)(419, 1169)(420, 1170)(421, 1171)(422, 1172)(423, 1173)(424, 1174)(425, 1175)(426, 1176)(427, 1177)(428, 1178)(429, 1179)(430, 1180)(431, 1181)(432, 1182)(433, 1183)(434, 1184)(435, 1185)(436, 1186)(437, 1187)(438, 1188)(439, 1189)(440, 1190)(441, 1191)(442, 1192)(443, 1193)(444, 1194)(445, 1195)(446, 1196)(447, 1197)(448, 1198)(449, 1199)(450, 1200)(451, 1201)(452, 1202)(453, 1203)(454, 1204)(455, 1205)(456, 1206)(457, 1207)(458, 1208)(459, 1209)(460, 1210)(461, 1211)(462, 1212)(463, 1213)(464, 1214)(465, 1215)(466, 1216)(467, 1217)(468, 1218)(469, 1219)(470, 1220)(471, 1221)(472, 1222)(473, 1223)(474, 1224)(475, 1225)(476, 1226)(477, 1227)(478, 1228)(479, 1229)(480, 1230)(481, 1231)(482, 1232)(483, 1233)(484, 1234)(485, 1235)(486, 1236)(487, 1237)(488, 1238)(489, 1239)(490, 1240)(491, 1241)(492, 1242)(493, 1243)(494, 1244)(495, 1245)(496, 1246)(497, 1247)(498, 1248)(499, 1249)(500, 1250)(501, 1251)(502, 1252)(503, 1253)(504, 1254)(505, 1255)(506, 1256)(507, 1257)(508, 1258)(509, 1259)(510, 1260)(511, 1261)(512, 1262)(513, 1263)(514, 1264)(515, 1265)(516, 1266)(517, 1267)(518, 1268)(519, 1269)(520, 1270)(521, 1271)(522, 1272)(523, 1273)(524, 1274)(525, 1275)(526, 1276)(527, 1277)(528, 1278)(529, 1279)(530, 1280)(531, 1281)(532, 1282)(533, 1283)(534, 1284)(535, 1285)(536, 1286)(537, 1287)(538, 1288)(539, 1289)(540, 1290)(541, 1291)(542, 1292)(543, 1293)(544, 1294)(545, 1295)(546, 1296)(547, 1297)(548, 1298)(549, 1299)(550, 1300)(551, 1301)(552, 1302)(553, 1303)(554, 1304)(555, 1305)(556, 1306)(557, 1307)(558, 1308)(559, 1309)(560, 1310)(561, 1311)(562, 1312)(563, 1313)(564, 1314)(565, 1315)(566, 1316)(567, 1317)(568, 1318)(569, 1319)(570, 1320)(571, 1321)(572, 1322)(573, 1323)(574, 1324)(575, 1325)(576, 1326)(577, 1327)(578, 1328)(579, 1329)(580, 1330)(581, 1331)(582, 1332)(583, 1333)(584, 1334)(585, 1335)(586, 1336)(587, 1337)(588, 1338)(589, 1339)(590, 1340)(591, 1341)(592, 1342)(593, 1343)(594, 1344)(595, 1345)(596, 1346)(597, 1347)(598, 1348)(599, 1349)(600, 1350)(601, 1351)(602, 1352)(603, 1353)(604, 1354)(605, 1355)(606, 1356)(607, 1357)(608, 1358)(609, 1359)(610, 1360)(611, 1361)(612, 1362)(613, 1363)(614, 1364)(615, 1365)(616, 1366)(617, 1367)(618, 1368)(619, 1369)(620, 1370)(621, 1371)(622, 1372)(623, 1373)(624, 1374)(625, 1375)(626, 1376)(627, 1377)(628, 1378)(629, 1379)(630, 1380)(631, 1381)(632, 1382)(633, 1383)(634, 1384)(635, 1385)(636, 1386)(637, 1387)(638, 1388)(639, 1389)(640, 1390)(641, 1391)(642, 1392)(643, 1393)(644, 1394)(645, 1395)(646, 1396)(647, 1397)(648, 1398)(649, 1399)(650, 1400)(651, 1401)(652, 1402)(653, 1403)(654, 1404)(655, 1405)(656, 1406)(657, 1407)(658, 1408)(659, 1409)(660, 1410)(661, 1411)(662, 1412)(663, 1413)(664, 1414)(665, 1415)(666, 1416)(667, 1417)(668, 1418)(669, 1419)(670, 1420)(671, 1421)(672, 1422)(673, 1423)(674, 1424)(675, 1425)(676, 1426)(677, 1427)(678, 1428)(679, 1429)(680, 1430)(681, 1431)(682, 1432)(683, 1433)(684, 1434)(685, 1435)(686, 1436)(687, 1437)(688, 1438)(689, 1439)(690, 1440)(691, 1441)(692, 1442)(693, 1443)(694, 1444)(695, 1445)(696, 1446)(697, 1447)(698, 1448)(699, 1449)(700, 1450)(701, 1451)(702, 1452)(703, 1453)(704, 1454)(705, 1455)(706, 1456)(707, 1457)(708, 1458)(709, 1459)(710, 1460)(711, 1461)(712, 1462)(713, 1463)(714, 1464)(715, 1465)(716, 1466)(717, 1467)(718, 1468)(719, 1469)(720, 1470)(721, 1471)(722, 1472)(723, 1473)(724, 1474)(725, 1475)(726, 1476)(727, 1477)(728, 1478)(729, 1479)(730, 1480)(731, 1481)(732, 1482)(733, 1483)(734, 1484)(735, 1485)(736, 1486)(737, 1487)(738, 1488)(739, 1489)(740, 1490)(741, 1491)(742, 1492)(743, 1493)(744, 1494)(745, 1495)(746, 1496)(747, 1497)(748, 1498)(749, 1499)(750, 1500)
	local type(s) :: { ( 4^3 ), ( 4^10 ) }
Outer automorphisms :: reflexible
Dual of E26.1551
Transitivity :: ET+
Graph:: simple bipartite
	v = 325 e = 750 f = 375
	degree seq :: [ 3^250, 10^75 ]

E26.1548 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 10})
Quotient :: edge
Aut^+ = $<750, 5>$ (small group id <750, 5>)
Aut   = $<1500, 37>$ (small group id <1500, 37>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^3, T1^10, (T1^-3 * T2 * T1^3 * T2 * T1^-1)^2, T2 * T1 * T2 * T1^-1 * T2 * T1^3 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-4 * T2 * T1^-2, (T2 * T1^2 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^-2)^2, (T2 * T1^2 * T2 * T1^-3 * T2 * T1^-3)^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, 62)(40, 63)(41, 68)(42, 69)(43, 72)(46, 75)(47, 78)(50, 79)(51, 83)(52, 86)(54, 88)(55, 90)(57, 91)(58, 95)(60, 98)(64, 100)(65, 105)(66, 106)(67, 109)(70, 112)(71, 115)(73, 116)(74, 120)(76, 122)(77, 123)(80, 124)(81, 129)(82, 130)(84, 133)(85, 136)(87, 139)(89, 141)(92, 142)(93, 146)(94, 149)(96, 150)(97, 154)(99, 101)(102, 160)(103, 161)(104, 164)(107, 167)(108, 170)(110, 171)(111, 175)(113, 177)(114, 178)(117, 179)(118, 183)(119, 186)(121, 189)(125, 191)(126, 196)(127, 197)(128, 200)(131, 203)(132, 206)(134, 208)(135, 210)(137, 211)(138, 215)(140, 192)(143, 218)(144, 223)(145, 224)(147, 227)(148, 229)(151, 230)(152, 234)(153, 237)(155, 238)(156, 242)(157, 244)(158, 245)(159, 248)(162, 251)(163, 254)(165, 255)(166, 259)(168, 261)(169, 262)(172, 263)(173, 267)(174, 270)(176, 273)(180, 275)(181, 280)(182, 281)(184, 284)(185, 287)(187, 288)(188, 292)(190, 276)(193, 298)(194, 299)(195, 301)(198, 304)(199, 306)(201, 307)(202, 311)(204, 313)(205, 315)(207, 318)(209, 320)(212, 321)(213, 325)(214, 328)(216, 329)(217, 333)(219, 319)(220, 336)(221, 337)(222, 339)(225, 342)(226, 345)(228, 347)(231, 348)(232, 351)(233, 352)(235, 355)(236, 332)(239, 357)(240, 360)(241, 327)(243, 365)(246, 368)(247, 371)(249, 372)(250, 376)(252, 377)(253, 378)(256, 379)(257, 383)(258, 386)(260, 388)(264, 389)(265, 394)(266, 395)(268, 398)(269, 401)(271, 402)(272, 405)(274, 390)(277, 410)(278, 411)(279, 413)(282, 416)(283, 418)(285, 420)(286, 421)(289, 422)(290, 426)(291, 428)(293, 429)(294, 432)(295, 433)(296, 434)(297, 437)(300, 439)(302, 440)(303, 444)(305, 445)(308, 446)(309, 450)(310, 453)(312, 456)(314, 457)(316, 458)(317, 462)(322, 465)(323, 468)(324, 469)(326, 472)(330, 474)(331, 477)(334, 481)(335, 482)(338, 486)(340, 487)(341, 491)(343, 435)(344, 493)(346, 496)(349, 498)(350, 500)(353, 503)(354, 505)(356, 479)(358, 508)(359, 509)(361, 511)(362, 461)(363, 473)(364, 515)(366, 516)(367, 519)(369, 520)(370, 521)(373, 522)(374, 525)(375, 528)(380, 529)(381, 533)(382, 534)(384, 536)(385, 539)(387, 540)(391, 546)(392, 547)(393, 549)(396, 552)(397, 554)(399, 556)(400, 557)(403, 558)(404, 562)(406, 563)(407, 566)(408, 567)(409, 569)(412, 571)(414, 572)(415, 576)(417, 578)(419, 581)(423, 582)(424, 585)(425, 586)(427, 589)(430, 590)(431, 593)(436, 597)(438, 598)(441, 600)(442, 548)(443, 603)(447, 604)(448, 606)(449, 545)(451, 584)(452, 587)(454, 609)(455, 610)(459, 612)(460, 553)(463, 614)(464, 544)(466, 530)(467, 524)(470, 620)(471, 560)(475, 535)(476, 541)(478, 622)(480, 608)(483, 573)(484, 542)(485, 595)(488, 570)(489, 618)(490, 619)(492, 596)(494, 579)(495, 627)(497, 564)(499, 599)(501, 574)(502, 575)(504, 616)(506, 623)(507, 601)(510, 602)(512, 615)(513, 621)(514, 635)(517, 636)(518, 639)(523, 640)(526, 643)(527, 646)(531, 649)(532, 650)(537, 652)(538, 653)(543, 657)(550, 659)(551, 660)(555, 663)(559, 664)(561, 665)(565, 669)(568, 670)(577, 666)(580, 671)(583, 641)(588, 655)(591, 642)(592, 647)(594, 674)(605, 681)(607, 682)(611, 683)(613, 656)(617, 684)(624, 678)(625, 676)(626, 675)(628, 691)(629, 685)(630, 658)(631, 686)(632, 688)(633, 692)(634, 689)(637, 696)(638, 699)(644, 703)(645, 704)(648, 706)(651, 708)(654, 709)(661, 710)(662, 711)(667, 695)(668, 700)(672, 713)(673, 714)(677, 716)(679, 718)(680, 719)(687, 701)(690, 720)(693, 724)(694, 721)(697, 726)(698, 727)(702, 730)(705, 731)(707, 732)(712, 734)(715, 736)(717, 738)(722, 739)(723, 735)(725, 742)(728, 743)(729, 744)(733, 746)(737, 748)(740, 747)(741, 749)(745, 750)(751, 752, 755, 761, 771, 787, 786, 770, 760, 754)(753, 757, 765, 777, 797, 827, 804, 781, 767, 758)(756, 763, 775, 793, 821, 864, 826, 796, 776, 764)(759, 768, 782, 805, 839, 884, 834, 801, 779, 766)(762, 773, 791, 817, 858, 919, 863, 820, 792, 774)(769, 784, 808, 844, 898, 978, 897, 843, 807, 783)(772, 789, 815, 854, 913, 1003, 918, 857, 816, 790)(778, 799, 831, 878, 949, 1055, 954, 881, 832, 800)(780, 802, 835, 885, 959, 1035, 934, 868, 823, 794)(785, 810, 847, 903, 986, 1106, 985, 902, 846, 809)(788, 813, 852, 909, 997, 1120, 1002, 912, 853, 814)(795, 824, 869, 935, 1036, 1149, 1018, 923, 860, 818)(798, 829, 876, 945, 1050, 1126, 1001, 948, 877, 830)(803, 837, 888, 964, 1077, 1223, 1076, 963, 887, 836)(806, 841, 894, 972, 1088, 1235, 1093, 975, 895, 842)(811, 849, 906, 991, 1112, 1262, 1111, 990, 905, 848)(812, 850, 907, 993, 1114, 1264, 1119, 996, 908, 851)(819, 861, 924, 1019, 1150, 1287, 1134, 1007, 915, 855)(822, 866, 931, 1029, 1162, 1269, 1118, 1032, 932, 867)(825, 871, 938, 1041, 987, 1107, 1177, 1040, 937, 870)(828, 874, 943, 1047, 1186, 1292, 1138, 1011, 944, 875)(833, 882, 955, 1064, 1115, 1266, 1201, 1059, 951, 879)(838, 890, 967, 1082, 1178, 1340, 1228, 1081, 966, 889)(840, 892, 970, 1085, 1137, 1009, 917, 1010, 971, 893)(845, 900, 982, 1100, 1249, 1379, 1254, 1103, 983, 901)(856, 916, 1008, 1135, 1288, 1394, 1276, 1124, 999, 910)(859, 921, 1015, 1143, 1298, 1258, 1110, 1146, 1016, 922)(862, 926, 1022, 981, 899, 980, 1099, 1154, 1021, 925)(865, 929, 1027, 1159, 1318, 1194, 1054, 1127, 1028, 930)(872, 940, 1044, 979, 1098, 1247, 1344, 1181, 1043, 939)(873, 941, 1045, 1171, 1332, 1423, 1346, 1185, 1046, 942)(880, 952, 1060, 1202, 1358, 1428, 1351, 1192, 1052, 946)(883, 957, 1067, 1211, 1078, 1224, 1363, 1210, 1066, 956)(886, 961, 1073, 1217, 1275, 1392, 1343, 1220, 1074, 962)(891, 968, 1084, 1230, 1315, 1156, 1023, 927, 1024, 969)(896, 976, 1094, 1123, 998, 1122, 1274, 1239, 1090, 973)(904, 988, 1108, 1257, 1382, 1443, 1383, 1260, 1109, 989)(911, 1000, 1125, 1277, 1395, 1447, 1387, 1267, 1116, 994)(914, 1005, 1131, 1282, 1251, 1101, 984, 1104, 1132, 1006)(920, 1013, 1141, 1295, 1408, 1326, 1166, 1270, 1142, 1014)(928, 1025, 1157, 1307, 1414, 1361, 1206, 1063, 1158, 1026)(933, 1033, 1167, 1327, 1187, 1348, 1250, 1324, 1164, 1030)(936, 1038, 1174, 1334, 1386, 1445, 1419, 1337, 1175, 1039)(947, 1053, 1193, 1352, 1429, 1467, 1427, 1349, 1188, 1048)(950, 1057, 1198, 1283, 1133, 1285, 1227, 1357, 1199, 1058)(953, 1062, 1205, 1072, 960, 1071, 1216, 1284, 1204, 1061)(958, 1069, 1214, 1070, 1215, 1367, 1436, 1366, 1213, 1068)(965, 1079, 1225, 1286, 1401, 1457, 1404, 1289, 1226, 1080)(974, 1091, 1240, 1370, 1424, 1450, 1389, 1321, 1233, 1086)(977, 1096, 1245, 1265, 1207, 1362, 1415, 1328, 1244, 1095)(992, 995, 1117, 1268, 1388, 1448, 1444, 1384, 1263, 1113)(1004, 1129, 1280, 1219, 1369, 1410, 1302, 1261, 1281, 1130)(1012, 1139, 1293, 1403, 1459, 1422, 1331, 1170, 1294, 1140)(1017, 1147, 1303, 1411, 1319, 1238, 1089, 1237, 1300, 1144)(1020, 1152, 1310, 1222, 1371, 1426, 1347, 1416, 1311, 1153)(1031, 1165, 1325, 1253, 1381, 1440, 1376, 1236, 1320, 1160)(1034, 1169, 1330, 1173, 1037, 1172, 1333, 1243, 1329, 1168)(1042, 1179, 1341, 1393, 1452, 1479, 1455, 1396, 1342, 1180)(1049, 1128, 1279, 1398, 1454, 1481, 1462, 1413, 1306, 1183)(1051, 1190, 1299, 1409, 1368, 1218, 1075, 1221, 1312, 1191)(1056, 1196, 1296, 1145, 1301, 1241, 1092, 1242, 1355, 1197)(1065, 1208, 1304, 1148, 1305, 1412, 1309, 1151, 1308, 1209)(1083, 1184, 1345, 1425, 1465, 1485, 1471, 1437, 1373, 1229)(1087, 1234, 1375, 1439, 1473, 1490, 1472, 1438, 1374, 1231)(1097, 1182, 1317, 1195, 1354, 1430, 1468, 1442, 1378, 1246)(1102, 1252, 1380, 1432, 1372, 1397, 1278, 1189, 1350, 1248)(1105, 1256, 1273, 1121, 1272, 1391, 1336, 1203, 1359, 1255)(1136, 1290, 1405, 1339, 1259, 1353, 1420, 1460, 1406, 1291)(1155, 1313, 1417, 1446, 1475, 1491, 1478, 1449, 1418, 1314)(1161, 1271, 1390, 1451, 1477, 1493, 1483, 1458, 1402, 1316)(1163, 1322, 1400, 1356, 1200, 1335, 1176, 1338, 1232, 1323)(1212, 1364, 1435, 1466, 1487, 1492, 1476, 1456, 1399, 1365)(1297, 1385, 1377, 1441, 1474, 1489, 1495, 1480, 1453, 1407)(1360, 1433, 1461, 1484, 1494, 1500, 1497, 1486, 1470, 1434)(1421, 1463, 1482, 1496, 1499, 1498, 1488, 1469, 1431, 1464)
	L = (1, 751)(2, 752)(3, 753)(4, 754)(5, 755)(6, 756)(7, 757)(8, 758)(9, 759)(10, 760)(11, 761)(12, 762)(13, 763)(14, 764)(15, 765)(16, 766)(17, 767)(18, 768)(19, 769)(20, 770)(21, 771)(22, 772)(23, 773)(24, 774)(25, 775)(26, 776)(27, 777)(28, 778)(29, 779)(30, 780)(31, 781)(32, 782)(33, 783)(34, 784)(35, 785)(36, 786)(37, 787)(38, 788)(39, 789)(40, 790)(41, 791)(42, 792)(43, 793)(44, 794)(45, 795)(46, 796)(47, 797)(48, 798)(49, 799)(50, 800)(51, 801)(52, 802)(53, 803)(54, 804)(55, 805)(56, 806)(57, 807)(58, 808)(59, 809)(60, 810)(61, 811)(62, 812)(63, 813)(64, 814)(65, 815)(66, 816)(67, 817)(68, 818)(69, 819)(70, 820)(71, 821)(72, 822)(73, 823)(74, 824)(75, 825)(76, 826)(77, 827)(78, 828)(79, 829)(80, 830)(81, 831)(82, 832)(83, 833)(84, 834)(85, 835)(86, 836)(87, 837)(88, 838)(89, 839)(90, 840)(91, 841)(92, 842)(93, 843)(94, 844)(95, 845)(96, 846)(97, 847)(98, 848)(99, 849)(100, 850)(101, 851)(102, 852)(103, 853)(104, 854)(105, 855)(106, 856)(107, 857)(108, 858)(109, 859)(110, 860)(111, 861)(112, 862)(113, 863)(114, 864)(115, 865)(116, 866)(117, 867)(118, 868)(119, 869)(120, 870)(121, 871)(122, 872)(123, 873)(124, 874)(125, 875)(126, 876)(127, 877)(128, 878)(129, 879)(130, 880)(131, 881)(132, 882)(133, 883)(134, 884)(135, 885)(136, 886)(137, 887)(138, 888)(139, 889)(140, 890)(141, 891)(142, 892)(143, 893)(144, 894)(145, 895)(146, 896)(147, 897)(148, 898)(149, 899)(150, 900)(151, 901)(152, 902)(153, 903)(154, 904)(155, 905)(156, 906)(157, 907)(158, 908)(159, 909)(160, 910)(161, 911)(162, 912)(163, 913)(164, 914)(165, 915)(166, 916)(167, 917)(168, 918)(169, 919)(170, 920)(171, 921)(172, 922)(173, 923)(174, 924)(175, 925)(176, 926)(177, 927)(178, 928)(179, 929)(180, 930)(181, 931)(182, 932)(183, 933)(184, 934)(185, 935)(186, 936)(187, 937)(188, 938)(189, 939)(190, 940)(191, 941)(192, 942)(193, 943)(194, 944)(195, 945)(196, 946)(197, 947)(198, 948)(199, 949)(200, 950)(201, 951)(202, 952)(203, 953)(204, 954)(205, 955)(206, 956)(207, 957)(208, 958)(209, 959)(210, 960)(211, 961)(212, 962)(213, 963)(214, 964)(215, 965)(216, 966)(217, 967)(218, 968)(219, 969)(220, 970)(221, 971)(222, 972)(223, 973)(224, 974)(225, 975)(226, 976)(227, 977)(228, 978)(229, 979)(230, 980)(231, 981)(232, 982)(233, 983)(234, 984)(235, 985)(236, 986)(237, 987)(238, 988)(239, 989)(240, 990)(241, 991)(242, 992)(243, 993)(244, 994)(245, 995)(246, 996)(247, 997)(248, 998)(249, 999)(250, 1000)(251, 1001)(252, 1002)(253, 1003)(254, 1004)(255, 1005)(256, 1006)(257, 1007)(258, 1008)(259, 1009)(260, 1010)(261, 1011)(262, 1012)(263, 1013)(264, 1014)(265, 1015)(266, 1016)(267, 1017)(268, 1018)(269, 1019)(270, 1020)(271, 1021)(272, 1022)(273, 1023)(274, 1024)(275, 1025)(276, 1026)(277, 1027)(278, 1028)(279, 1029)(280, 1030)(281, 1031)(282, 1032)(283, 1033)(284, 1034)(285, 1035)(286, 1036)(287, 1037)(288, 1038)(289, 1039)(290, 1040)(291, 1041)(292, 1042)(293, 1043)(294, 1044)(295, 1045)(296, 1046)(297, 1047)(298, 1048)(299, 1049)(300, 1050)(301, 1051)(302, 1052)(303, 1053)(304, 1054)(305, 1055)(306, 1056)(307, 1057)(308, 1058)(309, 1059)(310, 1060)(311, 1061)(312, 1062)(313, 1063)(314, 1064)(315, 1065)(316, 1066)(317, 1067)(318, 1068)(319, 1069)(320, 1070)(321, 1071)(322, 1072)(323, 1073)(324, 1074)(325, 1075)(326, 1076)(327, 1077)(328, 1078)(329, 1079)(330, 1080)(331, 1081)(332, 1082)(333, 1083)(334, 1084)(335, 1085)(336, 1086)(337, 1087)(338, 1088)(339, 1089)(340, 1090)(341, 1091)(342, 1092)(343, 1093)(344, 1094)(345, 1095)(346, 1096)(347, 1097)(348, 1098)(349, 1099)(350, 1100)(351, 1101)(352, 1102)(353, 1103)(354, 1104)(355, 1105)(356, 1106)(357, 1107)(358, 1108)(359, 1109)(360, 1110)(361, 1111)(362, 1112)(363, 1113)(364, 1114)(365, 1115)(366, 1116)(367, 1117)(368, 1118)(369, 1119)(370, 1120)(371, 1121)(372, 1122)(373, 1123)(374, 1124)(375, 1125)(376, 1126)(377, 1127)(378, 1128)(379, 1129)(380, 1130)(381, 1131)(382, 1132)(383, 1133)(384, 1134)(385, 1135)(386, 1136)(387, 1137)(388, 1138)(389, 1139)(390, 1140)(391, 1141)(392, 1142)(393, 1143)(394, 1144)(395, 1145)(396, 1146)(397, 1147)(398, 1148)(399, 1149)(400, 1150)(401, 1151)(402, 1152)(403, 1153)(404, 1154)(405, 1155)(406, 1156)(407, 1157)(408, 1158)(409, 1159)(410, 1160)(411, 1161)(412, 1162)(413, 1163)(414, 1164)(415, 1165)(416, 1166)(417, 1167)(418, 1168)(419, 1169)(420, 1170)(421, 1171)(422, 1172)(423, 1173)(424, 1174)(425, 1175)(426, 1176)(427, 1177)(428, 1178)(429, 1179)(430, 1180)(431, 1181)(432, 1182)(433, 1183)(434, 1184)(435, 1185)(436, 1186)(437, 1187)(438, 1188)(439, 1189)(440, 1190)(441, 1191)(442, 1192)(443, 1193)(444, 1194)(445, 1195)(446, 1196)(447, 1197)(448, 1198)(449, 1199)(450, 1200)(451, 1201)(452, 1202)(453, 1203)(454, 1204)(455, 1205)(456, 1206)(457, 1207)(458, 1208)(459, 1209)(460, 1210)(461, 1211)(462, 1212)(463, 1213)(464, 1214)(465, 1215)(466, 1216)(467, 1217)(468, 1218)(469, 1219)(470, 1220)(471, 1221)(472, 1222)(473, 1223)(474, 1224)(475, 1225)(476, 1226)(477, 1227)(478, 1228)(479, 1229)(480, 1230)(481, 1231)(482, 1232)(483, 1233)(484, 1234)(485, 1235)(486, 1236)(487, 1237)(488, 1238)(489, 1239)(490, 1240)(491, 1241)(492, 1242)(493, 1243)(494, 1244)(495, 1245)(496, 1246)(497, 1247)(498, 1248)(499, 1249)(500, 1250)(501, 1251)(502, 1252)(503, 1253)(504, 1254)(505, 1255)(506, 1256)(507, 1257)(508, 1258)(509, 1259)(510, 1260)(511, 1261)(512, 1262)(513, 1263)(514, 1264)(515, 1265)(516, 1266)(517, 1267)(518, 1268)(519, 1269)(520, 1270)(521, 1271)(522, 1272)(523, 1273)(524, 1274)(525, 1275)(526, 1276)(527, 1277)(528, 1278)(529, 1279)(530, 1280)(531, 1281)(532, 1282)(533, 1283)(534, 1284)(535, 1285)(536, 1286)(537, 1287)(538, 1288)(539, 1289)(540, 1290)(541, 1291)(542, 1292)(543, 1293)(544, 1294)(545, 1295)(546, 1296)(547, 1297)(548, 1298)(549, 1299)(550, 1300)(551, 1301)(552, 1302)(553, 1303)(554, 1304)(555, 1305)(556, 1306)(557, 1307)(558, 1308)(559, 1309)(560, 1310)(561, 1311)(562, 1312)(563, 1313)(564, 1314)(565, 1315)(566, 1316)(567, 1317)(568, 1318)(569, 1319)(570, 1320)(571, 1321)(572, 1322)(573, 1323)(574, 1324)(575, 1325)(576, 1326)(577, 1327)(578, 1328)(579, 1329)(580, 1330)(581, 1331)(582, 1332)(583, 1333)(584, 1334)(585, 1335)(586, 1336)(587, 1337)(588, 1338)(589, 1339)(590, 1340)(591, 1341)(592, 1342)(593, 1343)(594, 1344)(595, 1345)(596, 1346)(597, 1347)(598, 1348)(599, 1349)(600, 1350)(601, 1351)(602, 1352)(603, 1353)(604, 1354)(605, 1355)(606, 1356)(607, 1357)(608, 1358)(609, 1359)(610, 1360)(611, 1361)(612, 1362)(613, 1363)(614, 1364)(615, 1365)(616, 1366)(617, 1367)(618, 1368)(619, 1369)(620, 1370)(621, 1371)(622, 1372)(623, 1373)(624, 1374)(625, 1375)(626, 1376)(627, 1377)(628, 1378)(629, 1379)(630, 1380)(631, 1381)(632, 1382)(633, 1383)(634, 1384)(635, 1385)(636, 1386)(637, 1387)(638, 1388)(639, 1389)(640, 1390)(641, 1391)(642, 1392)(643, 1393)(644, 1394)(645, 1395)(646, 1396)(647, 1397)(648, 1398)(649, 1399)(650, 1400)(651, 1401)(652, 1402)(653, 1403)(654, 1404)(655, 1405)(656, 1406)(657, 1407)(658, 1408)(659, 1409)(660, 1410)(661, 1411)(662, 1412)(663, 1413)(664, 1414)(665, 1415)(666, 1416)(667, 1417)(668, 1418)(669, 1419)(670, 1420)(671, 1421)(672, 1422)(673, 1423)(674, 1424)(675, 1425)(676, 1426)(677, 1427)(678, 1428)(679, 1429)(680, 1430)(681, 1431)(682, 1432)(683, 1433)(684, 1434)(685, 1435)(686, 1436)(687, 1437)(688, 1438)(689, 1439)(690, 1440)(691, 1441)(692, 1442)(693, 1443)(694, 1444)(695, 1445)(696, 1446)(697, 1447)(698, 1448)(699, 1449)(700, 1450)(701, 1451)(702, 1452)(703, 1453)(704, 1454)(705, 1455)(706, 1456)(707, 1457)(708, 1458)(709, 1459)(710, 1460)(711, 1461)(712, 1462)(713, 1463)(714, 1464)(715, 1465)(716, 1466)(717, 1467)(718, 1468)(719, 1469)(720, 1470)(721, 1471)(722, 1472)(723, 1473)(724, 1474)(725, 1475)(726, 1476)(727, 1477)(728, 1478)(729, 1479)(730, 1480)(731, 1481)(732, 1482)(733, 1483)(734, 1484)(735, 1485)(736, 1486)(737, 1487)(738, 1488)(739, 1489)(740, 1490)(741, 1491)(742, 1492)(743, 1493)(744, 1494)(745, 1495)(746, 1496)(747, 1497)(748, 1498)(749, 1499)(750, 1500)
	local type(s) :: { ( 6, 6 ), ( 6^10 ) }
Outer automorphisms :: reflexible
Dual of E26.1549
Transitivity :: ET+
Graph:: simple bipartite
	v = 450 e = 750 f = 250
	degree seq :: [ 2^375, 10^75 ]

E26.1549 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 10})
Quotient :: loop
Aut^+ = $<750, 5>$ (small group id <750, 5>)
Aut   = $<1500, 37>$ (small group id <1500, 37>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T2^-1 * T1)^10, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1, (T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1)^2 ]
Map::
	R = (1, 751, 3, 753, 4, 754)(2, 752, 5, 755, 6, 756)(7, 757, 11, 761, 12, 762)(8, 758, 13, 763, 14, 764)(9, 759, 15, 765, 16, 766)(10, 760, 17, 767, 18, 768)(19, 769, 27, 777, 28, 778)(20, 770, 29, 779, 30, 780)(21, 771, 31, 781, 32, 782)(22, 772, 33, 783, 34, 784)(23, 773, 35, 785, 36, 786)(24, 774, 37, 787, 38, 788)(25, 775, 39, 789, 40, 790)(26, 776, 41, 791, 42, 792)(43, 793, 59, 809, 60, 810)(44, 794, 61, 811, 62, 812)(45, 795, 63, 813, 64, 814)(46, 796, 65, 815, 66, 816)(47, 797, 67, 817, 68, 818)(48, 798, 69, 819, 70, 820)(49, 799, 71, 821, 72, 822)(50, 800, 73, 823, 74, 824)(51, 801, 75, 825, 76, 826)(52, 802, 77, 827, 78, 828)(53, 803, 79, 829, 80, 830)(54, 804, 81, 831, 82, 832)(55, 805, 83, 833, 84, 834)(56, 806, 85, 835, 86, 836)(57, 807, 87, 837, 88, 838)(58, 808, 89, 839, 90, 840)(91, 841, 123, 873, 124, 874)(92, 842, 125, 875, 126, 876)(93, 843, 127, 877, 128, 878)(94, 844, 129, 879, 130, 880)(95, 845, 131, 881, 132, 882)(96, 846, 133, 883, 134, 884)(97, 847, 135, 885, 136, 886)(98, 848, 137, 887, 138, 888)(99, 849, 139, 889, 140, 890)(100, 850, 141, 891, 142, 892)(101, 851, 143, 893, 144, 894)(102, 852, 145, 895, 146, 896)(103, 853, 147, 897, 148, 898)(104, 854, 149, 899, 150, 900)(105, 855, 151, 901, 152, 902)(106, 856, 153, 903, 154, 904)(107, 857, 155, 905, 156, 906)(108, 858, 157, 907, 158, 908)(109, 859, 159, 909, 160, 910)(110, 860, 161, 911, 162, 912)(111, 861, 163, 913, 164, 914)(112, 862, 165, 915, 166, 916)(113, 863, 167, 917, 168, 918)(114, 864, 169, 919, 170, 920)(115, 865, 171, 921, 172, 922)(116, 866, 173, 923, 174, 924)(117, 867, 175, 925, 176, 926)(118, 868, 177, 927, 178, 928)(119, 869, 179, 929, 180, 930)(120, 870, 181, 931, 182, 932)(121, 871, 183, 933, 184, 934)(122, 872, 185, 935, 186, 936)(187, 937, 247, 997, 248, 998)(188, 938, 249, 999, 250, 1000)(189, 939, 251, 1001, 252, 1002)(190, 940, 253, 1003, 254, 1004)(191, 941, 255, 1005, 256, 1006)(192, 942, 257, 1007, 258, 1008)(193, 943, 259, 1009, 260, 1010)(194, 944, 261, 1011, 262, 1012)(195, 945, 263, 1013, 264, 1014)(196, 946, 265, 1015, 266, 1016)(197, 947, 267, 1017, 268, 1018)(198, 948, 269, 1019, 270, 1020)(199, 949, 271, 1021, 272, 1022)(200, 950, 273, 1023, 274, 1024)(201, 951, 275, 1025, 202, 952)(203, 953, 276, 1026, 277, 1027)(204, 954, 278, 1028, 279, 1029)(205, 955, 280, 1030, 281, 1031)(206, 956, 282, 1032, 283, 1033)(207, 957, 284, 1034, 285, 1035)(208, 958, 286, 1036, 287, 1037)(209, 959, 288, 1038, 289, 1039)(210, 960, 290, 1040, 291, 1041)(211, 961, 292, 1042, 293, 1043)(212, 962, 294, 1044, 295, 1045)(213, 963, 296, 1046, 297, 1047)(214, 964, 298, 1048, 299, 1049)(215, 965, 300, 1050, 301, 1051)(216, 966, 302, 1052, 303, 1053)(217, 967, 309, 1059, 375, 1125)(218, 968, 439, 1189, 406, 1156)(219, 969, 441, 1191, 719, 1469)(220, 970, 442, 1192, 721, 1471)(221, 971, 440, 1190, 400, 1150)(222, 972, 445, 1195, 672, 1422)(223, 973, 446, 1196, 688, 1438)(224, 974, 408, 1158, 675, 1425)(225, 975, 338, 1088, 627, 1377)(226, 976, 448, 1198, 513, 1263)(227, 977, 450, 1200, 725, 1475)(228, 978, 407, 1157, 371, 1121)(229, 979, 449, 1199, 722, 1472)(230, 980, 341, 1091, 384, 1134)(231, 981, 453, 1203, 232, 982)(233, 983, 304, 1054, 447, 1197)(234, 984, 455, 1205, 511, 1261)(235, 985, 457, 1207, 387, 1137)(236, 986, 386, 1136, 505, 1255)(237, 987, 456, 1206, 532, 1282)(238, 988, 460, 1210, 519, 1269)(239, 989, 405, 1155, 637, 1387)(240, 990, 461, 1211, 600, 1350)(241, 991, 340, 1090, 628, 1378)(242, 992, 462, 1212, 515, 1265)(243, 993, 464, 1214, 717, 1467)(244, 994, 465, 1215, 328, 1078)(245, 995, 463, 1213, 731, 1481)(246, 996, 318, 1068, 378, 1128)(305, 1055, 543, 1293, 491, 1241)(306, 1056, 546, 1296, 526, 1276)(307, 1057, 549, 1299, 551, 1301)(308, 1058, 553, 1303, 555, 1305)(310, 1060, 558, 1308, 560, 1310)(311, 1061, 562, 1312, 564, 1314)(312, 1062, 566, 1316, 568, 1318)(313, 1063, 570, 1320, 572, 1322)(314, 1064, 573, 1323, 575, 1325)(315, 1065, 576, 1326, 578, 1328)(316, 1066, 580, 1330, 582, 1332)(317, 1067, 501, 1251, 584, 1334)(319, 1069, 342, 1092, 339, 1089)(320, 1070, 337, 1087, 336, 1086)(321, 1071, 588, 1338, 467, 1217)(322, 1072, 590, 1340, 592, 1342)(323, 1073, 594, 1344, 596, 1346)(324, 1074, 540, 1290, 598, 1348)(325, 1075, 599, 1349, 601, 1351)(326, 1076, 602, 1352, 603, 1353)(327, 1077, 605, 1355, 607, 1357)(329, 1079, 609, 1359, 438, 1188)(330, 1080, 534, 1284, 612, 1362)(331, 1081, 614, 1364, 616, 1366)(332, 1082, 585, 1335, 618, 1368)(333, 1083, 488, 1238, 620, 1370)(334, 1084, 622, 1372, 623, 1373)(335, 1085, 487, 1237, 502, 1252)(343, 1093, 629, 1379, 383, 1133)(344, 1094, 426, 1176, 632, 1382)(345, 1095, 634, 1384, 636, 1386)(346, 1096, 586, 1336, 638, 1388)(347, 1097, 523, 1273, 611, 1361)(348, 1098, 640, 1390, 641, 1391)(349, 1099, 522, 1272, 411, 1161)(350, 1100, 644, 1394, 433, 1183)(351, 1101, 496, 1246, 646, 1396)(352, 1102, 648, 1398, 650, 1400)(353, 1103, 556, 1306, 652, 1402)(354, 1104, 421, 1171, 631, 1381)(355, 1105, 655, 1405, 656, 1406)(356, 1106, 420, 1170, 428, 1178)(357, 1107, 521, 1271, 377, 1127)(358, 1108, 403, 1153, 660, 1410)(359, 1109, 471, 1221, 530, 1280)(360, 1110, 587, 1337, 524, 1274)(361, 1111, 528, 1278, 591, 1341)(362, 1112, 664, 1414, 665, 1415)(363, 1113, 667, 1417, 385, 1135)(364, 1114, 647, 1397, 452, 1202)(365, 1115, 669, 1419, 670, 1420)(366, 1116, 651, 1401, 497, 1247)(367, 1117, 468, 1218, 673, 1423)(368, 1118, 397, 1147, 482, 1232)(369, 1119, 677, 1427, 475, 1225)(370, 1120, 396, 1146, 409, 1159)(372, 1122, 678, 1428, 477, 1227)(373, 1123, 458, 1208, 443, 1193)(374, 1124, 398, 1148, 486, 1236)(376, 1126, 679, 1429, 537, 1287)(379, 1129, 680, 1430, 518, 1268)(380, 1130, 435, 1185, 430, 1180)(381, 1131, 422, 1172, 681, 1431)(382, 1132, 479, 1229, 608, 1358)(388, 1138, 685, 1435, 686, 1436)(389, 1139, 671, 1421, 399, 1149)(390, 1140, 613, 1363, 689, 1439)(391, 1141, 690, 1440, 691, 1441)(392, 1142, 617, 1367, 466, 1216)(393, 1143, 503, 1253, 692, 1442)(394, 1144, 410, 1160, 517, 1267)(395, 1145, 695, 1445, 509, 1259)(401, 1151, 626, 1376, 489, 1239)(402, 1152, 493, 1243, 577, 1327)(404, 1154, 633, 1383, 702, 1452)(412, 1162, 506, 1256, 472, 1222)(413, 1163, 649, 1399, 423, 1173)(414, 1164, 593, 1343, 700, 1450)(415, 1165, 694, 1444, 529, 1279)(416, 1166, 597, 1347, 437, 1187)(417, 1167, 541, 1291, 707, 1457)(418, 1168, 429, 1179, 705, 1455)(419, 1169, 499, 1249, 682, 1432)(424, 1174, 478, 1228, 704, 1454)(425, 1175, 711, 1461, 563, 1313)(427, 1177, 661, 1411, 520, 1270)(431, 1181, 490, 1240, 714, 1464)(432, 1182, 514, 1264, 583, 1333)(434, 1184, 713, 1463, 483, 1233)(436, 1186, 525, 1275, 716, 1466)(444, 1194, 621, 1371, 723, 1473)(451, 1201, 727, 1477, 569, 1319)(454, 1204, 500, 1250, 724, 1474)(459, 1209, 561, 1311, 732, 1482)(469, 1219, 654, 1404, 734, 1484)(470, 1220, 544, 1294, 708, 1458)(473, 1223, 615, 1365, 492, 1242)(474, 1224, 736, 1486, 701, 1451)(476, 1226, 604, 1354, 666, 1416)(480, 1230, 538, 1288, 733, 1483)(481, 1231, 542, 1292, 737, 1487)(484, 1234, 533, 1283, 739, 1489)(485, 1235, 536, 1286, 697, 1447)(494, 1244, 512, 1262, 676, 1426)(495, 1245, 741, 1491, 571, 1321)(498, 1248, 696, 1446, 574, 1324)(504, 1254, 547, 1297, 728, 1478)(507, 1257, 635, 1385, 527, 1277)(508, 1258, 743, 1493, 668, 1418)(510, 1260, 579, 1329, 687, 1437)(516, 1266, 545, 1295, 744, 1494)(531, 1281, 729, 1479, 554, 1304)(535, 1285, 659, 1409, 589, 1339)(539, 1289, 710, 1460, 715, 1465)(548, 1298, 735, 1485, 698, 1448)(550, 1300, 693, 1443, 718, 1468)(552, 1302, 738, 1488, 745, 1495)(557, 1307, 730, 1480, 662, 1412)(559, 1309, 703, 1453, 709, 1459)(565, 1315, 706, 1456, 683, 1433)(567, 1317, 674, 1424, 740, 1490)(581, 1331, 653, 1403, 747, 1497)(595, 1345, 619, 1369, 720, 1470)(606, 1356, 639, 1389, 748, 1498)(610, 1360, 645, 1395, 630, 1380)(624, 1374, 642, 1392, 657, 1407)(625, 1375, 663, 1413, 750, 1500)(643, 1393, 684, 1434, 749, 1499)(658, 1408, 699, 1449, 726, 1476)(712, 1462, 746, 1496, 742, 1492)
	L = (1, 752)(2, 751)(3, 757)(4, 758)(5, 759)(6, 760)(7, 753)(8, 754)(9, 755)(10, 756)(11, 769)(12, 770)(13, 771)(14, 772)(15, 773)(16, 774)(17, 775)(18, 776)(19, 761)(20, 762)(21, 763)(22, 764)(23, 765)(24, 766)(25, 767)(26, 768)(27, 793)(28, 794)(29, 795)(30, 796)(31, 797)(32, 798)(33, 799)(34, 800)(35, 801)(36, 802)(37, 803)(38, 804)(39, 805)(40, 806)(41, 807)(42, 808)(43, 777)(44, 778)(45, 779)(46, 780)(47, 781)(48, 782)(49, 783)(50, 784)(51, 785)(52, 786)(53, 787)(54, 788)(55, 789)(56, 790)(57, 791)(58, 792)(59, 841)(60, 842)(61, 843)(62, 844)(63, 845)(64, 846)(65, 847)(66, 848)(67, 849)(68, 850)(69, 851)(70, 852)(71, 853)(72, 854)(73, 855)(74, 856)(75, 857)(76, 858)(77, 859)(78, 860)(79, 861)(80, 862)(81, 863)(82, 864)(83, 865)(84, 866)(85, 867)(86, 868)(87, 869)(88, 870)(89, 871)(90, 872)(91, 809)(92, 810)(93, 811)(94, 812)(95, 813)(96, 814)(97, 815)(98, 816)(99, 817)(100, 818)(101, 819)(102, 820)(103, 821)(104, 822)(105, 823)(106, 824)(107, 825)(108, 826)(109, 827)(110, 828)(111, 829)(112, 830)(113, 831)(114, 832)(115, 833)(116, 834)(117, 835)(118, 836)(119, 837)(120, 838)(121, 839)(122, 840)(123, 936)(124, 937)(125, 938)(126, 939)(127, 940)(128, 941)(129, 942)(130, 943)(131, 944)(132, 945)(133, 946)(134, 947)(135, 948)(136, 949)(137, 950)(138, 951)(139, 952)(140, 953)(141, 954)(142, 955)(143, 956)(144, 957)(145, 958)(146, 959)(147, 960)(148, 961)(149, 962)(150, 963)(151, 964)(152, 965)(153, 966)(154, 905)(155, 904)(156, 967)(157, 968)(158, 969)(159, 970)(160, 971)(161, 972)(162, 973)(163, 974)(164, 975)(165, 976)(166, 977)(167, 978)(168, 979)(169, 980)(170, 981)(171, 982)(172, 983)(173, 984)(174, 985)(175, 986)(176, 987)(177, 988)(178, 989)(179, 990)(180, 991)(181, 992)(182, 993)(183, 994)(184, 995)(185, 996)(186, 873)(187, 874)(188, 875)(189, 876)(190, 877)(191, 878)(192, 879)(193, 880)(194, 881)(195, 882)(196, 883)(197, 884)(198, 885)(199, 886)(200, 887)(201, 888)(202, 889)(203, 890)(204, 891)(205, 892)(206, 893)(207, 894)(208, 895)(209, 896)(210, 897)(211, 898)(212, 899)(213, 900)(214, 901)(215, 902)(216, 903)(217, 906)(218, 907)(219, 908)(220, 909)(221, 910)(222, 911)(223, 912)(224, 913)(225, 914)(226, 915)(227, 916)(228, 917)(229, 918)(230, 919)(231, 920)(232, 921)(233, 922)(234, 923)(235, 924)(236, 925)(237, 926)(238, 927)(239, 928)(240, 929)(241, 930)(242, 931)(243, 932)(244, 933)(245, 934)(246, 935)(247, 1218)(248, 1219)(249, 1220)(250, 1221)(251, 1112)(252, 1224)(253, 1225)(254, 1227)(255, 1198)(256, 1230)(257, 1232)(258, 1234)(259, 1236)(260, 1151)(261, 1239)(262, 1241)(263, 1088)(264, 1243)(265, 1190)(266, 1206)(267, 1199)(268, 1247)(269, 1248)(270, 1193)(271, 1200)(272, 1250)(273, 1251)(274, 1115)(275, 1089)(276, 1253)(277, 1194)(278, 1254)(279, 1255)(280, 1138)(281, 1258)(282, 1259)(283, 1261)(284, 1263)(285, 1265)(286, 1267)(287, 1269)(288, 1271)(289, 1110)(290, 1274)(291, 1276)(292, 1122)(293, 1278)(294, 1280)(295, 1282)(296, 1283)(297, 1216)(298, 1285)(299, 1287)(300, 1288)(301, 1289)(302, 1290)(303, 1141)(304, 1291)(305, 1292)(306, 1295)(307, 1298)(308, 1302)(309, 1306)(310, 1307)(311, 1311)(312, 1315)(313, 1319)(314, 1277)(315, 1275)(316, 1329)(317, 1333)(318, 1335)(319, 1336)(320, 1337)(321, 1173)(322, 1172)(323, 1343)(324, 1347)(325, 1242)(326, 1240)(327, 1354)(328, 1358)(329, 1149)(330, 1148)(331, 1363)(332, 1367)(333, 1369)(334, 1371)(335, 1374)(336, 1203)(337, 1376)(338, 1013)(339, 1025)(340, 1129)(341, 1320)(342, 1228)(343, 1108)(344, 1107)(345, 1383)(346, 1387)(347, 1389)(348, 1191)(349, 1392)(350, 1135)(351, 1134)(352, 1397)(353, 1401)(354, 1403)(355, 1404)(356, 1407)(357, 1094)(358, 1093)(359, 1411)(360, 1039)(361, 1413)(362, 1001)(363, 1416)(364, 1161)(365, 1024)(366, 1394)(367, 1398)(368, 1424)(369, 1426)(370, 1226)(371, 1180)(372, 1042)(373, 1179)(374, 1303)(375, 1262)(376, 1184)(377, 1312)(378, 1165)(379, 1090)(380, 1160)(381, 1296)(382, 1204)(383, 1326)(384, 1101)(385, 1100)(386, 1432)(387, 1434)(388, 1030)(389, 1437)(390, 1178)(391, 1053)(392, 1359)(393, 1364)(394, 1443)(395, 1444)(396, 1260)(397, 1185)(398, 1080)(399, 1079)(400, 1447)(401, 1010)(402, 1449)(403, 1450)(404, 1252)(405, 1379)(406, 1384)(407, 1453)(408, 1454)(409, 1164)(410, 1130)(411, 1114)(412, 1207)(413, 1456)(414, 1159)(415, 1128)(416, 1338)(417, 1344)(418, 1458)(419, 1440)(420, 1433)(421, 1208)(422, 1072)(423, 1071)(424, 1438)(425, 1460)(426, 1439)(427, 1357)(428, 1140)(429, 1123)(430, 1121)(431, 1197)(432, 1465)(433, 1340)(434, 1126)(435, 1147)(436, 1293)(437, 1467)(438, 1352)(439, 1468)(440, 1015)(441, 1098)(442, 1406)(443, 1020)(444, 1027)(445, 1381)(446, 1431)(447, 1181)(448, 1005)(449, 1017)(450, 1021)(451, 1476)(452, 1284)(453, 1086)(454, 1132)(455, 1479)(456, 1016)(457, 1162)(458, 1171)(459, 1299)(460, 1455)(461, 1388)(462, 1386)(463, 1235)(464, 1245)(465, 1395)(466, 1047)(467, 1372)(468, 997)(469, 998)(470, 999)(471, 1000)(472, 1327)(473, 1485)(474, 1002)(475, 1003)(476, 1120)(477, 1004)(478, 1092)(479, 1349)(480, 1006)(481, 1355)(482, 1007)(483, 1478)(484, 1008)(485, 1213)(486, 1009)(487, 1448)(488, 1429)(489, 1011)(490, 1076)(491, 1012)(492, 1075)(493, 1014)(494, 1451)(495, 1214)(496, 1452)(497, 1018)(498, 1019)(499, 1332)(500, 1022)(501, 1023)(502, 1154)(503, 1026)(504, 1028)(505, 1029)(506, 1341)(507, 1480)(508, 1031)(509, 1032)(510, 1146)(511, 1033)(512, 1125)(513, 1034)(514, 1323)(515, 1035)(516, 1330)(517, 1036)(518, 1471)(519, 1037)(520, 1419)(521, 1038)(522, 1412)(523, 1378)(524, 1040)(525, 1065)(526, 1041)(527, 1064)(528, 1043)(529, 1418)(530, 1044)(531, 1474)(532, 1045)(533, 1046)(534, 1202)(535, 1048)(536, 1346)(537, 1049)(538, 1050)(539, 1051)(540, 1052)(541, 1054)(542, 1055)(543, 1186)(544, 1373)(545, 1056)(546, 1131)(547, 1391)(548, 1057)(549, 1209)(550, 1353)(551, 1425)(552, 1058)(553, 1124)(554, 1415)(555, 1350)(556, 1059)(557, 1060)(558, 1477)(559, 1328)(560, 1427)(561, 1061)(562, 1127)(563, 1436)(564, 1324)(565, 1062)(566, 1495)(567, 1342)(568, 1445)(569, 1063)(570, 1091)(571, 1422)(572, 1339)(573, 1264)(574, 1314)(575, 1405)(576, 1133)(577, 1222)(578, 1309)(579, 1066)(580, 1266)(581, 1362)(582, 1249)(583, 1067)(584, 1360)(585, 1068)(586, 1069)(587, 1070)(588, 1166)(589, 1322)(590, 1183)(591, 1256)(592, 1317)(593, 1073)(594, 1167)(595, 1382)(596, 1286)(597, 1074)(598, 1380)(599, 1229)(600, 1305)(601, 1390)(602, 1188)(603, 1300)(604, 1077)(605, 1231)(606, 1396)(607, 1177)(608, 1078)(609, 1142)(610, 1334)(611, 1435)(612, 1331)(613, 1081)(614, 1143)(615, 1410)(616, 1483)(617, 1082)(618, 1409)(619, 1083)(620, 1414)(621, 1084)(622, 1217)(623, 1294)(624, 1085)(625, 1420)(626, 1087)(627, 1461)(628, 1273)(629, 1155)(630, 1348)(631, 1195)(632, 1345)(633, 1095)(634, 1156)(635, 1417)(636, 1212)(637, 1096)(638, 1211)(639, 1097)(640, 1351)(641, 1297)(642, 1099)(643, 1441)(644, 1116)(645, 1215)(646, 1356)(647, 1102)(648, 1117)(649, 1421)(650, 1475)(651, 1103)(652, 1446)(653, 1104)(654, 1105)(655, 1325)(656, 1192)(657, 1106)(658, 1481)(659, 1368)(660, 1365)(661, 1109)(662, 1272)(663, 1111)(664, 1370)(665, 1304)(666, 1113)(667, 1385)(668, 1279)(669, 1270)(670, 1375)(671, 1399)(672, 1321)(673, 1459)(674, 1118)(675, 1301)(676, 1119)(677, 1310)(678, 1491)(679, 1238)(680, 1489)(681, 1196)(682, 1136)(683, 1170)(684, 1137)(685, 1361)(686, 1313)(687, 1139)(688, 1174)(689, 1176)(690, 1169)(691, 1393)(692, 1490)(693, 1144)(694, 1145)(695, 1318)(696, 1402)(697, 1150)(698, 1237)(699, 1152)(700, 1153)(701, 1244)(702, 1246)(703, 1157)(704, 1158)(705, 1210)(706, 1163)(707, 1497)(708, 1168)(709, 1423)(710, 1175)(711, 1377)(712, 1484)(713, 1472)(714, 1486)(715, 1182)(716, 1493)(717, 1187)(718, 1189)(719, 1496)(720, 1487)(721, 1268)(722, 1463)(723, 1492)(724, 1281)(725, 1400)(726, 1201)(727, 1308)(728, 1233)(729, 1205)(730, 1257)(731, 1408)(732, 1499)(733, 1366)(734, 1462)(735, 1223)(736, 1464)(737, 1470)(738, 1500)(739, 1430)(740, 1442)(741, 1428)(742, 1473)(743, 1466)(744, 1498)(745, 1316)(746, 1469)(747, 1457)(748, 1494)(749, 1482)(750, 1488)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E26.1548
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 250 e = 750 f = 450
	degree seq :: [ 6^250 ]

E26.1550 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 10})
Quotient :: loop
Aut^+ = $<750, 5>$ (small group id <750, 5>)
Aut   = $<1500, 37>$ (small group id <1500, 37>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2^-1 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T2^10, T2 * T1^-1 * T2^-2 * T1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^3 * T1^-1 * T2^2 * T1^-1, T1 * T2^-4 * T1^-1 * T2^2 * T1^-1 * T2^-4 * T1 * T2^4, T2^2 * T1^-1 * T2^2 * T1^-1 * T2^-2 * T1 * T2^-2 * T1 * T2^-3 * T1^-1 * T2 * T1^-1 ]
Map::
	R = (1, 751, 3, 753, 9, 759, 19, 769, 37, 787, 67, 817, 48, 798, 26, 776, 13, 763, 5, 755)(2, 752, 6, 756, 14, 764, 27, 777, 50, 800, 88, 838, 58, 808, 32, 782, 16, 766, 7, 757)(4, 754, 11, 761, 22, 772, 41, 791, 74, 824, 106, 856, 62, 812, 34, 784, 17, 767, 8, 758)(10, 760, 21, 771, 40, 790, 71, 821, 121, 871, 182, 932, 110, 860, 64, 814, 35, 785, 18, 768)(12, 762, 23, 773, 43, 793, 77, 827, 130, 880, 212, 962, 136, 886, 80, 830, 44, 794, 24, 774)(15, 765, 29, 779, 53, 803, 92, 842, 154, 904, 251, 1001, 160, 910, 95, 845, 54, 804, 30, 780)(20, 770, 39, 789, 70, 820, 118, 868, 195, 945, 302, 1052, 186, 936, 112, 862, 65, 815, 36, 786)(25, 775, 45, 795, 81, 831, 137, 887, 222, 972, 359, 1109, 228, 978, 140, 890, 82, 832, 46, 796)(28, 778, 52, 802, 91, 841, 151, 901, 246, 996, 383, 1133, 237, 987, 145, 895, 86, 836, 49, 799)(31, 781, 55, 805, 96, 846, 161, 911, 261, 1011, 420, 1170, 267, 1017, 164, 914, 97, 847, 56, 806)(33, 783, 59, 809, 101, 851, 168, 918, 274, 1024, 441, 1191, 280, 1030, 171, 921, 102, 852, 60, 810)(38, 788, 69, 819, 117, 867, 192, 942, 313, 1063, 483, 1233, 306, 1056, 188, 938, 113, 863, 66, 816)(42, 792, 76, 826, 128, 878, 208, 958, 338, 1088, 486, 1236, 331, 1081, 204, 954, 124, 874, 73, 823)(47, 797, 83, 833, 141, 891, 229, 979, 369, 1119, 431, 1181, 375, 1125, 232, 982, 142, 892, 84, 834)(51, 801, 90, 840, 150, 900, 243, 993, 394, 1144, 305, 1055, 387, 1137, 239, 989, 146, 896, 87, 837)(57, 807, 98, 848, 165, 915, 268, 1018, 430, 1180, 452, 1202, 436, 1186, 271, 1021, 166, 916, 99, 849)(61, 811, 103, 853, 172, 922, 281, 1031, 451, 1201, 370, 1120, 457, 1207, 284, 1034, 173, 923, 104, 854)(63, 813, 107, 857, 177, 927, 288, 1038, 464, 1214, 515, 1265, 466, 1216, 291, 1041, 178, 928, 108, 858)(68, 818, 116, 866, 191, 941, 310, 1060, 489, 1239, 622, 1372, 487, 1237, 308, 1058, 189, 939, 114, 864)(72, 822, 123, 873, 202, 952, 326, 1076, 507, 1257, 376, 1126, 502, 1252, 322, 1072, 198, 948, 120, 870)(75, 825, 127, 877, 207, 957, 335, 1085, 517, 1267, 386, 1136, 482, 1232, 333, 1083, 205, 955, 125, 875)(78, 828, 132, 882, 215, 965, 348, 1098, 530, 1280, 437, 1187, 526, 1276, 342, 1092, 210, 960, 129, 879)(79, 829, 133, 883, 216, 966, 350, 1100, 488, 1238, 311, 1061, 491, 1241, 353, 1103, 217, 967, 134, 884)(85, 835, 115, 865, 190, 940, 309, 1059, 421, 1171, 585, 1335, 550, 1300, 377, 1127, 233, 983, 143, 893)(89, 839, 149, 899, 242, 992, 391, 1141, 562, 1312, 478, 1228, 301, 1051, 389, 1139, 240, 990, 147, 897)(93, 843, 156, 906, 254, 1004, 409, 1159, 576, 1326, 460, 1210, 573, 1323, 403, 1153, 249, 999, 153, 903)(94, 844, 157, 907, 255, 1005, 411, 1161, 561, 1311, 392, 1142, 564, 1314, 414, 1164, 256, 1006, 158, 908)(100, 850, 148, 898, 241, 991, 390, 1140, 442, 1192, 597, 1347, 594, 1344, 438, 1188, 272, 1022, 167, 917)(105, 855, 174, 924, 285, 1035, 458, 1208, 360, 1110, 540, 1290, 607, 1357, 461, 1211, 286, 1036, 175, 925)(109, 859, 179, 929, 292, 1042, 467, 1217, 358, 1108, 223, 973, 361, 1111, 469, 1219, 293, 1043, 180, 930)(111, 861, 183, 933, 297, 1047, 473, 1223, 617, 1367, 635, 1385, 618, 1368, 475, 1225, 298, 1048, 184, 934)(119, 869, 197, 947, 320, 1070, 413, 1163, 373, 1123, 231, 981, 372, 1122, 496, 1246, 316, 1066, 194, 944)(122, 872, 201, 951, 325, 1075, 506, 1256, 511, 1261, 330, 1080, 510, 1260, 504, 1254, 323, 1073, 199, 949)(126, 876, 206, 956, 334, 1084, 514, 1264, 639, 1389, 556, 1306, 382, 1132, 462, 1212, 287, 1037, 176, 926)(131, 881, 214, 964, 347, 1097, 477, 1227, 300, 1050, 185, 935, 299, 1049, 476, 1226, 343, 1093, 211, 961)(135, 885, 218, 968, 354, 1104, 533, 1283, 419, 1169, 262, 1012, 422, 1172, 535, 1285, 355, 1105, 219, 969)(138, 888, 224, 974, 362, 1112, 541, 1291, 654, 1404, 650, 1400, 653, 1403, 538, 1288, 357, 1107, 221, 971)(139, 889, 225, 975, 363, 1113, 492, 1242, 312, 1062, 193, 943, 315, 1065, 410, 1160, 364, 1114, 226, 976)(144, 894, 234, 984, 378, 1128, 551, 1301, 662, 1412, 646, 1396, 663, 1413, 553, 1303, 379, 1129, 235, 985)(152, 902, 248, 998, 401, 1151, 290, 1040, 434, 1184, 270, 1020, 433, 1183, 568, 1318, 397, 1147, 245, 995)(155, 905, 253, 1003, 408, 1158, 555, 1305, 381, 1131, 236, 986, 380, 1130, 554, 1304, 404, 1154, 250, 1000)(159, 909, 257, 1007, 415, 1165, 579, 1329, 440, 1190, 275, 1025, 443, 1193, 581, 1331, 416, 1166, 258, 1008)(162, 912, 263, 1013, 423, 1173, 586, 1336, 679, 1429, 677, 1427, 678, 1428, 584, 1334, 418, 1168, 260, 1010)(163, 913, 264, 1014, 424, 1174, 565, 1315, 393, 1143, 244, 994, 396, 1146, 327, 1077, 425, 1175, 265, 1015)(169, 919, 276, 1026, 444, 1194, 598, 1348, 686, 1436, 614, 1364, 685, 1435, 596, 1346, 439, 1189, 273, 1023)(170, 920, 277, 1027, 445, 1195, 599, 1349, 516, 1266, 336, 1086, 519, 1269, 349, 1099, 446, 1196, 278, 1028)(181, 931, 294, 1044, 470, 1220, 344, 1094, 213, 963, 346, 1096, 529, 1279, 615, 1365, 471, 1221, 295, 1045)(187, 937, 303, 1053, 480, 1230, 620, 1370, 697, 1447, 702, 1452, 698, 1448, 621, 1371, 481, 1231, 304, 1054)(196, 946, 319, 1069, 402, 1152, 571, 1321, 631, 1381, 501, 1251, 549, 1299, 628, 1378, 497, 1247, 317, 1067)(200, 950, 324, 1074, 505, 1255, 634, 1384, 582, 1332, 417, 1167, 259, 1009, 406, 1156, 472, 1222, 296, 1046)(203, 953, 328, 1078, 508, 1258, 636, 1386, 703, 1453, 674, 1424, 704, 1454, 638, 1388, 509, 1259, 329, 1079)(209, 959, 340, 1090, 499, 1249, 352, 1102, 455, 1205, 283, 1033, 454, 1204, 603, 1353, 520, 1270, 337, 1087)(220, 970, 345, 1095, 528, 1278, 405, 1155, 252, 1002, 407, 1157, 575, 1325, 651, 1401, 536, 1286, 356, 1106)(227, 977, 365, 1115, 542, 1292, 623, 1373, 490, 1240, 532, 1282, 647, 1397, 577, 1327, 412, 1162, 366, 1116)(230, 980, 371, 1121, 545, 1295, 658, 1408, 714, 1464, 711, 1461, 713, 1463, 657, 1407, 544, 1294, 368, 1118)(238, 988, 384, 1134, 558, 1308, 665, 1415, 716, 1466, 719, 1469, 717, 1467, 666, 1416, 559, 1309, 385, 1135)(247, 997, 400, 1150, 321, 1071, 500, 1250, 630, 1380, 525, 1275, 593, 1343, 671, 1421, 569, 1319, 398, 1148)(266, 1016, 426, 1176, 587, 1337, 667, 1417, 563, 1313, 578, 1328, 608, 1358, 463, 1213, 289, 1039, 427, 1177)(269, 1019, 432, 1182, 589, 1339, 682, 1432, 725, 1475, 723, 1473, 715, 1465, 659, 1409, 548, 1298, 429, 1179)(279, 1029, 447, 1197, 600, 1350, 687, 1437, 609, 1359, 465, 1215, 610, 1360, 531, 1281, 351, 1101, 448, 1198)(282, 1032, 453, 1203, 602, 1352, 690, 1440, 729, 1479, 728, 1478, 726, 1476, 683, 1433, 592, 1342, 450, 1200)(307, 1057, 484, 1234, 522, 1272, 643, 1393, 707, 1457, 724, 1474, 681, 1431, 588, 1338, 428, 1178, 485, 1235)(314, 1064, 495, 1245, 595, 1345, 661, 1411, 552, 1302, 547, 1297, 374, 1124, 546, 1296, 625, 1375, 493, 1243)(318, 1068, 498, 1248, 629, 1379, 701, 1451, 689, 1439, 601, 1351, 449, 1199, 560, 1310, 388, 1138, 479, 1229)(332, 1082, 512, 1262, 494, 1244, 626, 1376, 699, 1449, 734, 1484, 730, 1480, 694, 1444, 611, 1361, 513, 1263)(339, 1089, 523, 1273, 341, 1091, 524, 1274, 644, 1394, 572, 1322, 606, 1356, 692, 1442, 642, 1392, 521, 1271)(367, 1117, 539, 1289, 459, 1209, 557, 1307, 399, 1149, 570, 1320, 672, 1422, 712, 1462, 656, 1406, 543, 1293)(395, 1145, 567, 1317, 537, 1287, 652, 1402, 637, 1387, 591, 1341, 435, 1185, 590, 1340, 669, 1419, 566, 1316)(456, 1206, 604, 1354, 691, 1441, 640, 1390, 518, 1268, 641, 1391, 583, 1333, 616, 1366, 474, 1224, 605, 1355)(468, 1218, 613, 1363, 695, 1445, 731, 1481, 745, 1495, 744, 1494, 735, 1485, 706, 1456, 693, 1443, 612, 1362)(503, 1253, 632, 1382, 624, 1374, 655, 1405, 710, 1460, 738, 1488, 746, 1496, 732, 1482, 696, 1446, 633, 1383)(527, 1277, 619, 1369, 668, 1418, 680, 1430, 722, 1472, 742, 1492, 748, 1498, 736, 1486, 708, 1458, 645, 1395)(534, 1284, 649, 1399, 709, 1459, 737, 1487, 747, 1497, 733, 1483, 700, 1450, 627, 1377, 660, 1410, 648, 1398)(574, 1324, 664, 1414, 705, 1455, 688, 1438, 727, 1477, 743, 1493, 750, 1500, 740, 1490, 720, 1470, 673, 1423)(580, 1330, 676, 1426, 721, 1471, 741, 1491, 749, 1499, 739, 1489, 718, 1468, 670, 1420, 684, 1434, 675, 1425)
	L = (1, 752)(2, 754)(3, 758)(4, 751)(5, 762)(6, 755)(7, 765)(8, 760)(9, 768)(10, 753)(11, 757)(12, 756)(13, 775)(14, 774)(15, 761)(16, 781)(17, 783)(18, 770)(19, 786)(20, 759)(21, 767)(22, 780)(23, 763)(24, 778)(25, 773)(26, 797)(27, 799)(28, 764)(29, 766)(30, 792)(31, 779)(32, 807)(33, 771)(34, 811)(35, 813)(36, 788)(37, 816)(38, 769)(39, 785)(40, 810)(41, 823)(42, 772)(43, 796)(44, 829)(45, 776)(46, 828)(47, 795)(48, 835)(49, 801)(50, 837)(51, 777)(52, 794)(53, 806)(54, 844)(55, 782)(56, 843)(57, 805)(58, 850)(59, 784)(60, 822)(61, 809)(62, 855)(63, 789)(64, 859)(65, 861)(66, 818)(67, 864)(68, 787)(69, 815)(70, 858)(71, 870)(72, 790)(73, 825)(74, 875)(75, 791)(76, 804)(77, 879)(78, 793)(79, 802)(80, 885)(81, 834)(82, 889)(83, 798)(84, 888)(85, 833)(86, 894)(87, 839)(88, 897)(89, 800)(90, 836)(91, 884)(92, 903)(93, 803)(94, 826)(95, 909)(96, 849)(97, 913)(98, 808)(99, 912)(100, 848)(101, 854)(102, 920)(103, 812)(104, 919)(105, 853)(106, 926)(107, 814)(108, 869)(109, 857)(110, 931)(111, 819)(112, 935)(113, 937)(114, 865)(115, 817)(116, 863)(117, 934)(118, 944)(119, 820)(120, 872)(121, 949)(122, 821)(123, 852)(124, 953)(125, 876)(126, 824)(127, 874)(128, 908)(129, 881)(130, 961)(131, 827)(132, 832)(133, 830)(134, 902)(135, 883)(136, 970)(137, 971)(138, 831)(139, 882)(140, 977)(141, 893)(142, 981)(143, 980)(144, 840)(145, 986)(146, 988)(147, 898)(148, 838)(149, 896)(150, 985)(151, 995)(152, 841)(153, 905)(154, 1000)(155, 842)(156, 847)(157, 845)(158, 959)(159, 907)(160, 1009)(161, 1010)(162, 846)(163, 906)(164, 1016)(165, 917)(166, 1020)(167, 1019)(168, 1023)(169, 851)(170, 873)(171, 1029)(172, 925)(173, 1033)(174, 856)(175, 1032)(176, 924)(177, 930)(178, 1040)(179, 860)(180, 1039)(181, 929)(182, 1046)(183, 862)(184, 943)(185, 933)(186, 1051)(187, 866)(188, 1055)(189, 1057)(190, 939)(191, 1054)(192, 1062)(193, 867)(194, 946)(195, 1067)(196, 868)(197, 928)(198, 1071)(199, 950)(200, 871)(201, 948)(202, 1028)(203, 877)(204, 1080)(205, 1082)(206, 955)(207, 1079)(208, 1087)(209, 878)(210, 1091)(211, 963)(212, 1094)(213, 880)(214, 960)(215, 976)(216, 969)(217, 1102)(218, 886)(219, 1101)(220, 968)(221, 973)(222, 1108)(223, 887)(224, 892)(225, 890)(226, 1099)(227, 975)(228, 1117)(229, 1118)(230, 891)(231, 974)(232, 1124)(233, 1126)(234, 895)(235, 994)(236, 984)(237, 1132)(238, 899)(239, 1136)(240, 1138)(241, 990)(242, 1135)(243, 1143)(244, 900)(245, 997)(246, 1148)(247, 901)(248, 967)(249, 1152)(250, 1002)(251, 1155)(252, 904)(253, 999)(254, 1015)(255, 1008)(256, 1163)(257, 910)(258, 1162)(259, 1007)(260, 1012)(261, 1169)(262, 911)(263, 916)(264, 914)(265, 1160)(266, 1014)(267, 1178)(268, 1179)(269, 915)(270, 1013)(271, 1185)(272, 1187)(273, 1025)(274, 1190)(275, 918)(276, 923)(277, 921)(278, 1077)(279, 1027)(280, 1199)(281, 1200)(282, 922)(283, 1026)(284, 1206)(285, 1037)(286, 1210)(287, 1209)(288, 1213)(289, 927)(290, 947)(291, 1173)(292, 1045)(293, 1174)(294, 932)(295, 1218)(296, 1044)(297, 1050)(298, 1159)(299, 936)(300, 1224)(301, 1049)(302, 1229)(303, 938)(304, 1061)(305, 1053)(306, 1232)(307, 940)(308, 1236)(309, 1235)(310, 1238)(311, 941)(312, 1064)(313, 1243)(314, 942)(315, 1048)(316, 1158)(317, 1068)(318, 945)(319, 1066)(320, 1151)(321, 951)(322, 1251)(323, 1253)(324, 1073)(325, 1150)(326, 1146)(327, 952)(328, 954)(329, 1086)(330, 1078)(331, 1237)(332, 956)(333, 1233)(334, 1263)(335, 1266)(336, 957)(337, 1089)(338, 1271)(339, 958)(340, 1006)(341, 964)(342, 1275)(343, 1277)(344, 1095)(345, 962)(346, 1093)(347, 1273)(348, 1269)(349, 965)(350, 1281)(351, 966)(352, 998)(353, 1194)(354, 1106)(355, 1195)(356, 1284)(357, 1287)(358, 1110)(359, 1208)(360, 972)(361, 1107)(362, 1123)(363, 1116)(364, 1175)(365, 978)(366, 1166)(367, 1115)(368, 1120)(369, 1201)(370, 979)(371, 983)(372, 982)(373, 1164)(374, 1122)(375, 1298)(376, 1121)(377, 1299)(378, 1131)(379, 1076)(380, 987)(381, 1302)(382, 1130)(383, 1307)(384, 989)(385, 1142)(386, 1134)(387, 1056)(388, 991)(389, 1052)(390, 1310)(391, 1311)(392, 992)(393, 1145)(394, 1316)(395, 993)(396, 1129)(397, 1075)(398, 1149)(399, 996)(400, 1147)(401, 1249)(402, 1003)(403, 1322)(404, 1324)(405, 1156)(406, 1001)(407, 1154)(408, 1069)(409, 1065)(410, 1004)(411, 1327)(412, 1005)(413, 1090)(414, 1112)(415, 1167)(416, 1113)(417, 1330)(418, 1333)(419, 1171)(420, 1059)(421, 1011)(422, 1168)(423, 1184)(424, 1177)(425, 1196)(426, 1017)(427, 1043)(428, 1176)(429, 1181)(430, 1119)(431, 1018)(432, 1022)(433, 1021)(434, 1041)(435, 1183)(436, 1342)(437, 1182)(438, 1343)(439, 1345)(440, 1192)(441, 1140)(442, 1024)(443, 1189)(444, 1205)(445, 1198)(446, 1114)(447, 1030)(448, 1105)(449, 1197)(450, 1202)(451, 1180)(452, 1031)(453, 1036)(454, 1034)(455, 1103)(456, 1204)(457, 1294)(458, 1289)(459, 1035)(460, 1203)(461, 1356)(462, 1133)(463, 1215)(464, 1359)(465, 1038)(466, 1361)(467, 1362)(468, 1042)(469, 1317)(470, 1222)(471, 1364)(472, 1278)(473, 1366)(474, 1047)(475, 1352)(476, 1228)(477, 1353)(478, 1369)(479, 1139)(480, 1144)(481, 1348)(482, 1137)(483, 1262)(484, 1058)(485, 1170)(486, 1234)(487, 1260)(488, 1240)(489, 1373)(490, 1060)(491, 1231)(492, 1331)(493, 1244)(494, 1063)(495, 1242)(496, 1297)(497, 1377)(498, 1247)(499, 1070)(500, 1072)(501, 1250)(502, 1127)(503, 1074)(504, 1372)(505, 1383)(506, 1318)(507, 1303)(508, 1261)(509, 1098)(510, 1081)(511, 1387)(512, 1083)(513, 1265)(514, 1214)(515, 1084)(516, 1268)(517, 1390)(518, 1085)(519, 1259)(520, 1097)(521, 1272)(522, 1088)(523, 1270)(524, 1092)(525, 1274)(526, 1188)(527, 1096)(528, 1220)(529, 1395)(530, 1388)(531, 1282)(532, 1100)(533, 1398)(534, 1104)(535, 1391)(536, 1400)(537, 1111)(538, 1386)(539, 1109)(540, 1217)(541, 1314)(542, 1293)(543, 1405)(544, 1354)(545, 1257)(546, 1125)(547, 1305)(548, 1296)(549, 1252)(550, 1410)(551, 1411)(552, 1128)(553, 1295)(554, 1306)(555, 1246)(556, 1414)(557, 1212)(558, 1267)(559, 1291)(560, 1191)(561, 1313)(562, 1417)(563, 1141)(564, 1309)(565, 1219)(566, 1230)(567, 1315)(568, 1341)(569, 1420)(570, 1319)(571, 1153)(572, 1321)(573, 1211)(574, 1157)(575, 1423)(576, 1225)(577, 1328)(578, 1161)(579, 1425)(580, 1165)(581, 1245)(582, 1427)(583, 1172)(584, 1223)(585, 1283)(586, 1216)(587, 1338)(588, 1430)(589, 1280)(590, 1186)(591, 1256)(592, 1340)(593, 1276)(594, 1434)(595, 1193)(596, 1301)(597, 1329)(598, 1241)(599, 1285)(600, 1351)(601, 1438)(602, 1326)(603, 1355)(604, 1207)(605, 1227)(606, 1323)(607, 1443)(608, 1397)(609, 1264)(610, 1358)(611, 1336)(612, 1290)(613, 1221)(614, 1363)(615, 1412)(616, 1334)(617, 1428)(618, 1446)(619, 1226)(620, 1419)(621, 1445)(622, 1382)(623, 1374)(624, 1239)(625, 1409)(626, 1375)(627, 1248)(628, 1300)(629, 1450)(630, 1381)(631, 1394)(632, 1254)(633, 1385)(634, 1367)(635, 1255)(636, 1402)(637, 1258)(638, 1339)(639, 1437)(640, 1308)(641, 1349)(642, 1456)(643, 1392)(644, 1380)(645, 1396)(646, 1279)(647, 1360)(648, 1335)(649, 1286)(650, 1399)(651, 1453)(652, 1288)(653, 1401)(654, 1416)(655, 1292)(656, 1461)(657, 1415)(658, 1413)(659, 1376)(660, 1378)(661, 1346)(662, 1435)(663, 1458)(664, 1304)(665, 1441)(666, 1459)(667, 1418)(668, 1312)(669, 1433)(670, 1320)(671, 1344)(672, 1468)(673, 1424)(674, 1325)(675, 1347)(676, 1332)(677, 1426)(678, 1384)(679, 1444)(680, 1337)(681, 1473)(682, 1454)(683, 1370)(684, 1421)(685, 1365)(686, 1371)(687, 1455)(688, 1350)(689, 1478)(690, 1368)(691, 1407)(692, 1357)(693, 1442)(694, 1471)(695, 1436)(696, 1440)(697, 1476)(698, 1483)(699, 1465)(700, 1452)(701, 1447)(702, 1379)(703, 1403)(704, 1470)(705, 1389)(706, 1393)(707, 1485)(708, 1408)(709, 1404)(710, 1406)(711, 1460)(712, 1466)(713, 1462)(714, 1486)(715, 1474)(716, 1463)(717, 1489)(718, 1469)(719, 1422)(720, 1432)(721, 1429)(722, 1431)(723, 1472)(724, 1449)(725, 1490)(726, 1451)(727, 1439)(728, 1477)(729, 1482)(730, 1494)(731, 1448)(732, 1493)(733, 1481)(734, 1457)(735, 1484)(736, 1488)(737, 1467)(738, 1464)(739, 1487)(740, 1492)(741, 1480)(742, 1475)(743, 1479)(744, 1491)(745, 1497)(746, 1498)(747, 1499)(748, 1500)(749, 1495)(750, 1496)
	local type(s) :: { ( 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 E26.1546
Transitivity :: ET+ VT+ AT
Graph::
	v = 75 e = 750 f = 625
	degree seq :: [ 20^75 ]

E26.1551 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 10})
Quotient :: loop
Aut^+ = $<750, 5>$ (small group id <750, 5>)
Aut   = $<1500, 37>$ (small group id <1500, 37>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^3, T1^10, (T1^-3 * T2 * T1^3 * T2 * T1^-1)^2, T2 * T1 * T2 * T1^-1 * T2 * T1^3 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-4 * T2 * T1^-2, (T2 * T1^2 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^-2)^2, (T2 * T1^2 * T2 * T1^-3 * T2 * T1^-3)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 751, 3, 753)(2, 752, 6, 756)(4, 754, 9, 759)(5, 755, 12, 762)(7, 757, 16, 766)(8, 758, 13, 763)(10, 760, 19, 769)(11, 761, 22, 772)(14, 764, 23, 773)(15, 765, 28, 778)(17, 767, 30, 780)(18, 768, 33, 783)(20, 770, 35, 785)(21, 771, 38, 788)(24, 774, 39, 789)(25, 775, 44, 794)(26, 776, 45, 795)(27, 777, 48, 798)(29, 779, 49, 799)(31, 781, 53, 803)(32, 782, 56, 806)(34, 784, 59, 809)(36, 786, 61, 811)(37, 787, 62, 812)(40, 790, 63, 813)(41, 791, 68, 818)(42, 792, 69, 819)(43, 793, 72, 822)(46, 796, 75, 825)(47, 797, 78, 828)(50, 800, 79, 829)(51, 801, 83, 833)(52, 802, 86, 836)(54, 804, 88, 838)(55, 805, 90, 840)(57, 807, 91, 841)(58, 808, 95, 845)(60, 810, 98, 848)(64, 814, 100, 850)(65, 815, 105, 855)(66, 816, 106, 856)(67, 817, 109, 859)(70, 820, 112, 862)(71, 821, 115, 865)(73, 823, 116, 866)(74, 824, 120, 870)(76, 826, 122, 872)(77, 827, 123, 873)(80, 830, 124, 874)(81, 831, 129, 879)(82, 832, 130, 880)(84, 834, 133, 883)(85, 835, 136, 886)(87, 837, 139, 889)(89, 839, 141, 891)(92, 842, 142, 892)(93, 843, 146, 896)(94, 844, 149, 899)(96, 846, 150, 900)(97, 847, 154, 904)(99, 849, 101, 851)(102, 852, 160, 910)(103, 853, 161, 911)(104, 854, 164, 914)(107, 857, 167, 917)(108, 858, 170, 920)(110, 860, 171, 921)(111, 861, 175, 925)(113, 863, 177, 927)(114, 864, 178, 928)(117, 867, 179, 929)(118, 868, 183, 933)(119, 869, 186, 936)(121, 871, 189, 939)(125, 875, 191, 941)(126, 876, 196, 946)(127, 877, 197, 947)(128, 878, 200, 950)(131, 881, 203, 953)(132, 882, 206, 956)(134, 884, 208, 958)(135, 885, 210, 960)(137, 887, 211, 961)(138, 888, 215, 965)(140, 890, 192, 942)(143, 893, 218, 968)(144, 894, 223, 973)(145, 895, 224, 974)(147, 897, 227, 977)(148, 898, 229, 979)(151, 901, 230, 980)(152, 902, 234, 984)(153, 903, 237, 987)(155, 905, 238, 988)(156, 906, 242, 992)(157, 907, 244, 994)(158, 908, 245, 995)(159, 909, 248, 998)(162, 912, 251, 1001)(163, 913, 254, 1004)(165, 915, 255, 1005)(166, 916, 259, 1009)(168, 918, 261, 1011)(169, 919, 262, 1012)(172, 922, 263, 1013)(173, 923, 267, 1017)(174, 924, 270, 1020)(176, 926, 273, 1023)(180, 930, 275, 1025)(181, 931, 280, 1030)(182, 932, 281, 1031)(184, 934, 284, 1034)(185, 935, 287, 1037)(187, 937, 288, 1038)(188, 938, 292, 1042)(190, 940, 276, 1026)(193, 943, 298, 1048)(194, 944, 299, 1049)(195, 945, 301, 1051)(198, 948, 304, 1054)(199, 949, 306, 1056)(201, 951, 307, 1057)(202, 952, 311, 1061)(204, 954, 313, 1063)(205, 955, 315, 1065)(207, 957, 318, 1068)(209, 959, 320, 1070)(212, 962, 321, 1071)(213, 963, 325, 1075)(214, 964, 328, 1078)(216, 966, 329, 1079)(217, 967, 333, 1083)(219, 969, 319, 1069)(220, 970, 336, 1086)(221, 971, 337, 1087)(222, 972, 339, 1089)(225, 975, 342, 1092)(226, 976, 345, 1095)(228, 978, 347, 1097)(231, 981, 348, 1098)(232, 982, 351, 1101)(233, 983, 352, 1102)(235, 985, 355, 1105)(236, 986, 332, 1082)(239, 989, 357, 1107)(240, 990, 360, 1110)(241, 991, 327, 1077)(243, 993, 365, 1115)(246, 996, 368, 1118)(247, 997, 371, 1121)(249, 999, 372, 1122)(250, 1000, 376, 1126)(252, 1002, 377, 1127)(253, 1003, 378, 1128)(256, 1006, 379, 1129)(257, 1007, 383, 1133)(258, 1008, 386, 1136)(260, 1010, 388, 1138)(264, 1014, 389, 1139)(265, 1015, 394, 1144)(266, 1016, 395, 1145)(268, 1018, 398, 1148)(269, 1019, 401, 1151)(271, 1021, 402, 1152)(272, 1022, 405, 1155)(274, 1024, 390, 1140)(277, 1027, 410, 1160)(278, 1028, 411, 1161)(279, 1029, 413, 1163)(282, 1032, 416, 1166)(283, 1033, 418, 1168)(285, 1035, 420, 1170)(286, 1036, 421, 1171)(289, 1039, 422, 1172)(290, 1040, 426, 1176)(291, 1041, 428, 1178)(293, 1043, 429, 1179)(294, 1044, 432, 1182)(295, 1045, 433, 1183)(296, 1046, 434, 1184)(297, 1047, 437, 1187)(300, 1050, 439, 1189)(302, 1052, 440, 1190)(303, 1053, 444, 1194)(305, 1055, 445, 1195)(308, 1058, 446, 1196)(309, 1059, 450, 1200)(310, 1060, 453, 1203)(312, 1062, 456, 1206)(314, 1064, 457, 1207)(316, 1066, 458, 1208)(317, 1067, 462, 1212)(322, 1072, 465, 1215)(323, 1073, 468, 1218)(324, 1074, 469, 1219)(326, 1076, 472, 1222)(330, 1080, 474, 1224)(331, 1081, 477, 1227)(334, 1084, 481, 1231)(335, 1085, 482, 1232)(338, 1088, 486, 1236)(340, 1090, 487, 1237)(341, 1091, 491, 1241)(343, 1093, 435, 1185)(344, 1094, 493, 1243)(346, 1096, 496, 1246)(349, 1099, 498, 1248)(350, 1100, 500, 1250)(353, 1103, 503, 1253)(354, 1104, 505, 1255)(356, 1106, 479, 1229)(358, 1108, 508, 1258)(359, 1109, 509, 1259)(361, 1111, 511, 1261)(362, 1112, 461, 1211)(363, 1113, 473, 1223)(364, 1114, 515, 1265)(366, 1116, 516, 1266)(367, 1117, 519, 1269)(369, 1119, 520, 1270)(370, 1120, 521, 1271)(373, 1123, 522, 1272)(374, 1124, 525, 1275)(375, 1125, 528, 1278)(380, 1130, 529, 1279)(381, 1131, 533, 1283)(382, 1132, 534, 1284)(384, 1134, 536, 1286)(385, 1135, 539, 1289)(387, 1137, 540, 1290)(391, 1141, 546, 1296)(392, 1142, 547, 1297)(393, 1143, 549, 1299)(396, 1146, 552, 1302)(397, 1147, 554, 1304)(399, 1149, 556, 1306)(400, 1150, 557, 1307)(403, 1153, 558, 1308)(404, 1154, 562, 1312)(406, 1156, 563, 1313)(407, 1157, 566, 1316)(408, 1158, 567, 1317)(409, 1159, 569, 1319)(412, 1162, 571, 1321)(414, 1164, 572, 1322)(415, 1165, 576, 1326)(417, 1167, 578, 1328)(419, 1169, 581, 1331)(423, 1173, 582, 1332)(424, 1174, 585, 1335)(425, 1175, 586, 1336)(427, 1177, 589, 1339)(430, 1180, 590, 1340)(431, 1181, 593, 1343)(436, 1186, 597, 1347)(438, 1188, 598, 1348)(441, 1191, 600, 1350)(442, 1192, 548, 1298)(443, 1193, 603, 1353)(447, 1197, 604, 1354)(448, 1198, 606, 1356)(449, 1199, 545, 1295)(451, 1201, 584, 1334)(452, 1202, 587, 1337)(454, 1204, 609, 1359)(455, 1205, 610, 1360)(459, 1209, 612, 1362)(460, 1210, 553, 1303)(463, 1213, 614, 1364)(464, 1214, 544, 1294)(466, 1216, 530, 1280)(467, 1217, 524, 1274)(470, 1220, 620, 1370)(471, 1221, 560, 1310)(475, 1225, 535, 1285)(476, 1226, 541, 1291)(478, 1228, 622, 1372)(480, 1230, 608, 1358)(483, 1233, 573, 1323)(484, 1234, 542, 1292)(485, 1235, 595, 1345)(488, 1238, 570, 1320)(489, 1239, 618, 1368)(490, 1240, 619, 1369)(492, 1242, 596, 1346)(494, 1244, 579, 1329)(495, 1245, 627, 1377)(497, 1247, 564, 1314)(499, 1249, 599, 1349)(501, 1251, 574, 1324)(502, 1252, 575, 1325)(504, 1254, 616, 1366)(506, 1256, 623, 1373)(507, 1257, 601, 1351)(510, 1260, 602, 1352)(512, 1262, 615, 1365)(513, 1263, 621, 1371)(514, 1264, 635, 1385)(517, 1267, 636, 1386)(518, 1268, 639, 1389)(523, 1273, 640, 1390)(526, 1276, 643, 1393)(527, 1277, 646, 1396)(531, 1281, 649, 1399)(532, 1282, 650, 1400)(537, 1287, 652, 1402)(538, 1288, 653, 1403)(543, 1293, 657, 1407)(550, 1300, 659, 1409)(551, 1301, 660, 1410)(555, 1305, 663, 1413)(559, 1309, 664, 1414)(561, 1311, 665, 1415)(565, 1315, 669, 1419)(568, 1318, 670, 1420)(577, 1327, 666, 1416)(580, 1330, 671, 1421)(583, 1333, 641, 1391)(588, 1338, 655, 1405)(591, 1341, 642, 1392)(592, 1342, 647, 1397)(594, 1344, 674, 1424)(605, 1355, 681, 1431)(607, 1357, 682, 1432)(611, 1361, 683, 1433)(613, 1363, 656, 1406)(617, 1367, 684, 1434)(624, 1374, 678, 1428)(625, 1375, 676, 1426)(626, 1376, 675, 1425)(628, 1378, 691, 1441)(629, 1379, 685, 1435)(630, 1380, 658, 1408)(631, 1381, 686, 1436)(632, 1382, 688, 1438)(633, 1383, 692, 1442)(634, 1384, 689, 1439)(637, 1387, 696, 1446)(638, 1388, 699, 1449)(644, 1394, 703, 1453)(645, 1395, 704, 1454)(648, 1398, 706, 1456)(651, 1401, 708, 1458)(654, 1404, 709, 1459)(661, 1411, 710, 1460)(662, 1412, 711, 1461)(667, 1417, 695, 1445)(668, 1418, 700, 1450)(672, 1422, 713, 1463)(673, 1423, 714, 1464)(677, 1427, 716, 1466)(679, 1429, 718, 1468)(680, 1430, 719, 1469)(687, 1437, 701, 1451)(690, 1440, 720, 1470)(693, 1443, 724, 1474)(694, 1444, 721, 1471)(697, 1447, 726, 1476)(698, 1448, 727, 1477)(702, 1452, 730, 1480)(705, 1455, 731, 1481)(707, 1457, 732, 1482)(712, 1462, 734, 1484)(715, 1465, 736, 1486)(717, 1467, 738, 1488)(722, 1472, 739, 1489)(723, 1473, 735, 1485)(725, 1475, 742, 1492)(728, 1478, 743, 1493)(729, 1479, 744, 1494)(733, 1483, 746, 1496)(737, 1487, 748, 1498)(740, 1490, 747, 1497)(741, 1491, 749, 1499)(745, 1495, 750, 1500)
	L = (1, 752)(2, 755)(3, 757)(4, 751)(5, 761)(6, 763)(7, 765)(8, 753)(9, 768)(10, 754)(11, 771)(12, 773)(13, 775)(14, 756)(15, 777)(16, 759)(17, 758)(18, 782)(19, 784)(20, 760)(21, 787)(22, 789)(23, 791)(24, 762)(25, 793)(26, 764)(27, 797)(28, 799)(29, 766)(30, 802)(31, 767)(32, 805)(33, 769)(34, 808)(35, 810)(36, 770)(37, 786)(38, 813)(39, 815)(40, 772)(41, 817)(42, 774)(43, 821)(44, 780)(45, 824)(46, 776)(47, 827)(48, 829)(49, 831)(50, 778)(51, 779)(52, 835)(53, 837)(54, 781)(55, 839)(56, 841)(57, 783)(58, 844)(59, 785)(60, 847)(61, 849)(62, 850)(63, 852)(64, 788)(65, 854)(66, 790)(67, 858)(68, 795)(69, 861)(70, 792)(71, 864)(72, 866)(73, 794)(74, 869)(75, 871)(76, 796)(77, 804)(78, 874)(79, 876)(80, 798)(81, 878)(82, 800)(83, 882)(84, 801)(85, 885)(86, 803)(87, 888)(88, 890)(89, 884)(90, 892)(91, 894)(92, 806)(93, 807)(94, 898)(95, 900)(96, 809)(97, 903)(98, 811)(99, 906)(100, 907)(101, 812)(102, 909)(103, 814)(104, 913)(105, 819)(106, 916)(107, 816)(108, 919)(109, 921)(110, 818)(111, 924)(112, 926)(113, 820)(114, 826)(115, 929)(116, 931)(117, 822)(118, 823)(119, 935)(120, 825)(121, 938)(122, 940)(123, 941)(124, 943)(125, 828)(126, 945)(127, 830)(128, 949)(129, 833)(130, 952)(131, 832)(132, 955)(133, 957)(134, 834)(135, 959)(136, 961)(137, 836)(138, 964)(139, 838)(140, 967)(141, 968)(142, 970)(143, 840)(144, 972)(145, 842)(146, 976)(147, 843)(148, 978)(149, 980)(150, 982)(151, 845)(152, 846)(153, 986)(154, 988)(155, 848)(156, 991)(157, 993)(158, 851)(159, 997)(160, 856)(161, 1000)(162, 853)(163, 1003)(164, 1005)(165, 855)(166, 1008)(167, 1010)(168, 857)(169, 863)(170, 1013)(171, 1015)(172, 859)(173, 860)(174, 1019)(175, 862)(176, 1022)(177, 1024)(178, 1025)(179, 1027)(180, 865)(181, 1029)(182, 867)(183, 1033)(184, 868)(185, 1036)(186, 1038)(187, 870)(188, 1041)(189, 872)(190, 1044)(191, 1045)(192, 873)(193, 1047)(194, 875)(195, 1050)(196, 880)(197, 1053)(198, 877)(199, 1055)(200, 1057)(201, 879)(202, 1060)(203, 1062)(204, 881)(205, 1064)(206, 883)(207, 1067)(208, 1069)(209, 1035)(210, 1071)(211, 1073)(212, 886)(213, 887)(214, 1077)(215, 1079)(216, 889)(217, 1082)(218, 1084)(219, 891)(220, 1085)(221, 893)(222, 1088)(223, 896)(224, 1091)(225, 895)(226, 1094)(227, 1096)(228, 897)(229, 1098)(230, 1099)(231, 899)(232, 1100)(233, 901)(234, 1104)(235, 902)(236, 1106)(237, 1107)(238, 1108)(239, 904)(240, 905)(241, 1112)(242, 995)(243, 1114)(244, 911)(245, 1117)(246, 908)(247, 1120)(248, 1122)(249, 910)(250, 1125)(251, 948)(252, 912)(253, 918)(254, 1129)(255, 1131)(256, 914)(257, 915)(258, 1135)(259, 917)(260, 971)(261, 944)(262, 1139)(263, 1141)(264, 920)(265, 1143)(266, 922)(267, 1147)(268, 923)(269, 1150)(270, 1152)(271, 925)(272, 981)(273, 927)(274, 969)(275, 1157)(276, 928)(277, 1159)(278, 930)(279, 1162)(280, 933)(281, 1165)(282, 932)(283, 1167)(284, 1169)(285, 934)(286, 1149)(287, 1172)(288, 1174)(289, 936)(290, 937)(291, 987)(292, 1179)(293, 939)(294, 979)(295, 1171)(296, 942)(297, 1186)(298, 947)(299, 1128)(300, 1126)(301, 1190)(302, 946)(303, 1193)(304, 1127)(305, 954)(306, 1196)(307, 1198)(308, 950)(309, 951)(310, 1202)(311, 953)(312, 1205)(313, 1158)(314, 1115)(315, 1208)(316, 956)(317, 1211)(318, 958)(319, 1214)(320, 1215)(321, 1216)(322, 960)(323, 1217)(324, 962)(325, 1221)(326, 963)(327, 1223)(328, 1224)(329, 1225)(330, 965)(331, 966)(332, 1178)(333, 1184)(334, 1230)(335, 1137)(336, 974)(337, 1234)(338, 1235)(339, 1237)(340, 973)(341, 1240)(342, 1242)(343, 975)(344, 1123)(345, 977)(346, 1245)(347, 1182)(348, 1247)(349, 1154)(350, 1249)(351, 984)(352, 1252)(353, 983)(354, 1132)(355, 1256)(356, 985)(357, 1177)(358, 1257)(359, 989)(360, 1146)(361, 990)(362, 1262)(363, 992)(364, 1264)(365, 1266)(366, 994)(367, 1268)(368, 1032)(369, 996)(370, 1002)(371, 1272)(372, 1274)(373, 998)(374, 999)(375, 1277)(376, 1001)(377, 1028)(378, 1279)(379, 1280)(380, 1004)(381, 1282)(382, 1006)(383, 1285)(384, 1007)(385, 1288)(386, 1290)(387, 1009)(388, 1011)(389, 1293)(390, 1012)(391, 1295)(392, 1014)(393, 1298)(394, 1017)(395, 1301)(396, 1016)(397, 1303)(398, 1305)(399, 1018)(400, 1287)(401, 1308)(402, 1310)(403, 1020)(404, 1021)(405, 1313)(406, 1023)(407, 1307)(408, 1026)(409, 1318)(410, 1031)(411, 1271)(412, 1269)(413, 1322)(414, 1030)(415, 1325)(416, 1270)(417, 1327)(418, 1034)(419, 1330)(420, 1294)(421, 1332)(422, 1333)(423, 1037)(424, 1334)(425, 1039)(426, 1338)(427, 1040)(428, 1340)(429, 1341)(430, 1042)(431, 1043)(432, 1317)(433, 1049)(434, 1345)(435, 1046)(436, 1292)(437, 1348)(438, 1048)(439, 1350)(440, 1299)(441, 1051)(442, 1052)(443, 1352)(444, 1054)(445, 1354)(446, 1296)(447, 1056)(448, 1283)(449, 1058)(450, 1335)(451, 1059)(452, 1358)(453, 1359)(454, 1061)(455, 1072)(456, 1063)(457, 1362)(458, 1304)(459, 1065)(460, 1066)(461, 1078)(462, 1364)(463, 1068)(464, 1070)(465, 1367)(466, 1284)(467, 1275)(468, 1075)(469, 1369)(470, 1074)(471, 1312)(472, 1371)(473, 1076)(474, 1363)(475, 1286)(476, 1080)(477, 1357)(478, 1081)(479, 1083)(480, 1315)(481, 1087)(482, 1323)(483, 1086)(484, 1375)(485, 1093)(486, 1320)(487, 1300)(488, 1089)(489, 1090)(490, 1370)(491, 1092)(492, 1355)(493, 1329)(494, 1095)(495, 1265)(496, 1097)(497, 1344)(498, 1102)(499, 1379)(500, 1324)(501, 1101)(502, 1380)(503, 1381)(504, 1103)(505, 1105)(506, 1273)(507, 1382)(508, 1110)(509, 1353)(510, 1109)(511, 1281)(512, 1111)(513, 1113)(514, 1119)(515, 1207)(516, 1201)(517, 1116)(518, 1388)(519, 1118)(520, 1142)(521, 1390)(522, 1391)(523, 1121)(524, 1239)(525, 1392)(526, 1124)(527, 1395)(528, 1189)(529, 1398)(530, 1219)(531, 1130)(532, 1251)(533, 1133)(534, 1204)(535, 1227)(536, 1401)(537, 1134)(538, 1394)(539, 1226)(540, 1405)(541, 1136)(542, 1138)(543, 1403)(544, 1140)(545, 1408)(546, 1145)(547, 1385)(548, 1258)(549, 1409)(550, 1144)(551, 1241)(552, 1261)(553, 1411)(554, 1148)(555, 1412)(556, 1183)(557, 1414)(558, 1209)(559, 1151)(560, 1222)(561, 1153)(562, 1191)(563, 1417)(564, 1155)(565, 1156)(566, 1161)(567, 1195)(568, 1194)(569, 1238)(570, 1160)(571, 1233)(572, 1400)(573, 1163)(574, 1164)(575, 1253)(576, 1166)(577, 1187)(578, 1244)(579, 1168)(580, 1173)(581, 1170)(582, 1423)(583, 1243)(584, 1386)(585, 1176)(586, 1203)(587, 1175)(588, 1232)(589, 1259)(590, 1228)(591, 1393)(592, 1180)(593, 1220)(594, 1181)(595, 1425)(596, 1185)(597, 1416)(598, 1250)(599, 1188)(600, 1248)(601, 1192)(602, 1429)(603, 1420)(604, 1430)(605, 1197)(606, 1200)(607, 1199)(608, 1428)(609, 1255)(610, 1433)(611, 1206)(612, 1415)(613, 1210)(614, 1435)(615, 1212)(616, 1213)(617, 1436)(618, 1218)(619, 1410)(620, 1424)(621, 1426)(622, 1397)(623, 1229)(624, 1231)(625, 1439)(626, 1236)(627, 1441)(628, 1246)(629, 1254)(630, 1432)(631, 1440)(632, 1443)(633, 1260)(634, 1263)(635, 1377)(636, 1445)(637, 1267)(638, 1448)(639, 1321)(640, 1451)(641, 1336)(642, 1343)(643, 1452)(644, 1276)(645, 1447)(646, 1342)(647, 1278)(648, 1454)(649, 1365)(650, 1356)(651, 1457)(652, 1316)(653, 1459)(654, 1289)(655, 1339)(656, 1291)(657, 1297)(658, 1326)(659, 1368)(660, 1302)(661, 1319)(662, 1309)(663, 1306)(664, 1361)(665, 1328)(666, 1311)(667, 1446)(668, 1314)(669, 1337)(670, 1460)(671, 1463)(672, 1331)(673, 1346)(674, 1450)(675, 1465)(676, 1347)(677, 1349)(678, 1351)(679, 1467)(680, 1468)(681, 1464)(682, 1372)(683, 1461)(684, 1360)(685, 1466)(686, 1366)(687, 1373)(688, 1374)(689, 1473)(690, 1376)(691, 1474)(692, 1378)(693, 1383)(694, 1384)(695, 1419)(696, 1475)(697, 1387)(698, 1444)(699, 1418)(700, 1389)(701, 1477)(702, 1479)(703, 1407)(704, 1481)(705, 1396)(706, 1399)(707, 1404)(708, 1402)(709, 1422)(710, 1406)(711, 1484)(712, 1413)(713, 1482)(714, 1421)(715, 1485)(716, 1487)(717, 1427)(718, 1442)(719, 1431)(720, 1434)(721, 1437)(722, 1438)(723, 1490)(724, 1489)(725, 1491)(726, 1456)(727, 1493)(728, 1449)(729, 1455)(730, 1453)(731, 1462)(732, 1496)(733, 1458)(734, 1494)(735, 1471)(736, 1470)(737, 1492)(738, 1469)(739, 1495)(740, 1472)(741, 1478)(742, 1476)(743, 1483)(744, 1500)(745, 1480)(746, 1499)(747, 1486)(748, 1488)(749, 1498)(750, 1497)
	local type(s) :: { ( 3, 10, 3, 10 ) }
Outer automorphisms :: reflexible
Dual of E26.1547
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 375 e = 750 f = 325
	degree seq :: [ 4^375 ]

E26.1552 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 10})
Quotient :: dipole
Aut^+ = $<750, 5>$ (small group id <750, 5>)
Aut   = $<1500, 37>$ (small group id <1500, 37>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1)^10, (Y3 * Y2^-1)^10, 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, (Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1)^2 ]
Map::
	R = (1, 751, 2, 752)(3, 753, 7, 757)(4, 754, 8, 758)(5, 755, 9, 759)(6, 756, 10, 760)(11, 761, 19, 769)(12, 762, 20, 770)(13, 763, 21, 771)(14, 764, 22, 772)(15, 765, 23, 773)(16, 766, 24, 774)(17, 767, 25, 775)(18, 768, 26, 776)(27, 777, 43, 793)(28, 778, 44, 794)(29, 779, 45, 795)(30, 780, 46, 796)(31, 781, 47, 797)(32, 782, 48, 798)(33, 783, 49, 799)(34, 784, 50, 800)(35, 785, 51, 801)(36, 786, 52, 802)(37, 787, 53, 803)(38, 788, 54, 804)(39, 789, 55, 805)(40, 790, 56, 806)(41, 791, 57, 807)(42, 792, 58, 808)(59, 809, 91, 841)(60, 810, 92, 842)(61, 811, 93, 843)(62, 812, 94, 844)(63, 813, 95, 845)(64, 814, 96, 846)(65, 815, 97, 847)(66, 816, 98, 848)(67, 817, 99, 849)(68, 818, 100, 850)(69, 819, 101, 851)(70, 820, 102, 852)(71, 821, 103, 853)(72, 822, 104, 854)(73, 823, 105, 855)(74, 824, 106, 856)(75, 825, 107, 857)(76, 826, 108, 858)(77, 827, 109, 859)(78, 828, 110, 860)(79, 829, 111, 861)(80, 830, 112, 862)(81, 831, 113, 863)(82, 832, 114, 864)(83, 833, 115, 865)(84, 834, 116, 866)(85, 835, 117, 867)(86, 836, 118, 868)(87, 837, 119, 869)(88, 838, 120, 870)(89, 839, 121, 871)(90, 840, 122, 872)(123, 873, 186, 936)(124, 874, 187, 937)(125, 875, 188, 938)(126, 876, 189, 939)(127, 877, 190, 940)(128, 878, 191, 941)(129, 879, 192, 942)(130, 880, 193, 943)(131, 881, 194, 944)(132, 882, 195, 945)(133, 883, 196, 946)(134, 884, 197, 947)(135, 885, 198, 948)(136, 886, 199, 949)(137, 887, 200, 950)(138, 888, 201, 951)(139, 889, 202, 952)(140, 890, 203, 953)(141, 891, 204, 954)(142, 892, 205, 955)(143, 893, 206, 956)(144, 894, 207, 957)(145, 895, 208, 958)(146, 896, 209, 959)(147, 897, 210, 960)(148, 898, 211, 961)(149, 899, 212, 962)(150, 900, 213, 963)(151, 901, 214, 964)(152, 902, 215, 965)(153, 903, 216, 966)(154, 904, 155, 905)(156, 906, 217, 967)(157, 907, 218, 968)(158, 908, 219, 969)(159, 909, 220, 970)(160, 910, 221, 971)(161, 911, 222, 972)(162, 912, 223, 973)(163, 913, 224, 974)(164, 914, 225, 975)(165, 915, 226, 976)(166, 916, 227, 977)(167, 917, 228, 978)(168, 918, 229, 979)(169, 919, 230, 980)(170, 920, 231, 981)(171, 921, 232, 982)(172, 922, 233, 983)(173, 923, 234, 984)(174, 924, 235, 985)(175, 925, 236, 986)(176, 926, 237, 987)(177, 927, 238, 988)(178, 928, 239, 989)(179, 929, 240, 990)(180, 930, 241, 991)(181, 931, 242, 992)(182, 932, 243, 993)(183, 933, 244, 994)(184, 934, 245, 995)(185, 935, 246, 996)(247, 997, 473, 1223)(248, 998, 463, 1213)(249, 999, 456, 1206)(250, 1000, 476, 1226)(251, 1001, 304, 1054)(252, 1002, 478, 1228)(253, 1003, 354, 1104)(254, 1004, 479, 1229)(255, 1005, 446, 1196)(256, 1006, 480, 1230)(257, 1007, 482, 1232)(258, 1008, 391, 1141)(259, 1009, 383, 1133)(260, 1010, 486, 1236)(261, 1011, 487, 1237)(262, 1012, 489, 1239)(263, 1013, 445, 1195)(264, 1014, 492, 1242)(265, 1015, 441, 1191)(266, 1016, 461, 1211)(267, 1017, 324, 1074)(268, 1018, 495, 1245)(269, 1019, 496, 1246)(270, 1020, 497, 1247)(271, 1021, 366, 1116)(272, 1022, 498, 1248)(273, 1023, 499, 1249)(274, 1024, 344, 1094)(275, 1025, 387, 1137)(276, 1026, 502, 1252)(277, 1027, 503, 1253)(278, 1028, 505, 1255)(279, 1029, 507, 1257)(280, 1030, 306, 1056)(281, 1031, 509, 1259)(282, 1032, 384, 1134)(283, 1033, 510, 1260)(284, 1034, 511, 1261)(285, 1035, 512, 1262)(286, 1036, 514, 1264)(287, 1037, 351, 1101)(288, 1038, 394, 1144)(289, 1039, 434, 1184)(290, 1040, 518, 1268)(291, 1041, 520, 1270)(292, 1042, 522, 1272)(293, 1043, 524, 1274)(294, 1044, 526, 1276)(295, 1045, 527, 1277)(296, 1046, 327, 1077)(297, 1047, 529, 1279)(298, 1048, 447, 1197)(299, 1049, 530, 1280)(300, 1050, 338, 1088)(301, 1051, 531, 1281)(302, 1052, 532, 1282)(303, 1053, 365, 1115)(305, 1055, 437, 1187)(307, 1057, 457, 1207)(308, 1058, 534, 1284)(309, 1059, 535, 1285)(310, 1060, 521, 1271)(311, 1061, 536, 1286)(312, 1062, 537, 1287)(313, 1063, 538, 1288)(314, 1064, 519, 1269)(315, 1065, 539, 1289)(316, 1066, 409, 1159)(317, 1067, 541, 1291)(318, 1068, 490, 1240)(319, 1069, 544, 1294)(320, 1070, 392, 1142)(321, 1071, 547, 1297)(322, 1072, 548, 1298)(323, 1073, 408, 1158)(325, 1075, 551, 1301)(326, 1076, 488, 1238)(328, 1078, 554, 1304)(329, 1079, 543, 1293)(330, 1080, 444, 1194)(331, 1081, 557, 1307)(332, 1082, 352, 1102)(333, 1083, 560, 1310)(334, 1084, 561, 1311)(335, 1085, 381, 1131)(336, 1086, 564, 1314)(337, 1087, 565, 1315)(339, 1089, 569, 1319)(340, 1090, 570, 1320)(341, 1091, 572, 1322)(342, 1092, 400, 1150)(343, 1093, 579, 1329)(345, 1095, 439, 1189)(346, 1096, 584, 1334)(347, 1097, 585, 1335)(348, 1098, 540, 1290)(349, 1099, 587, 1337)(350, 1100, 440, 1190)(353, 1103, 591, 1341)(355, 1105, 583, 1333)(356, 1106, 592, 1342)(357, 1107, 546, 1296)(358, 1108, 593, 1343)(359, 1109, 418, 1168)(360, 1110, 595, 1345)(361, 1111, 588, 1338)(362, 1112, 596, 1346)(363, 1113, 414, 1164)(364, 1114, 603, 1353)(367, 1117, 608, 1358)(368, 1118, 558, 1308)(369, 1119, 609, 1359)(370, 1120, 501, 1251)(371, 1121, 615, 1365)(372, 1122, 617, 1367)(373, 1123, 594, 1344)(374, 1124, 600, 1350)(375, 1125, 399, 1149)(376, 1126, 623, 1373)(377, 1127, 555, 1305)(378, 1128, 626, 1376)(379, 1129, 573, 1323)(380, 1130, 632, 1382)(382, 1132, 635, 1385)(385, 1135, 586, 1336)(386, 1136, 637, 1387)(388, 1138, 559, 1309)(389, 1139, 640, 1390)(390, 1140, 427, 1177)(393, 1143, 642, 1392)(395, 1145, 556, 1306)(396, 1146, 634, 1384)(397, 1147, 563, 1313)(398, 1148, 643, 1393)(401, 1151, 442, 1192)(402, 1152, 459, 1209)(403, 1153, 645, 1395)(404, 1154, 453, 1203)(405, 1155, 568, 1318)(406, 1156, 647, 1397)(407, 1157, 460, 1210)(410, 1160, 650, 1400)(411, 1161, 462, 1212)(412, 1162, 553, 1303)(413, 1163, 577, 1327)(415, 1165, 651, 1401)(416, 1166, 641, 1391)(417, 1167, 612, 1362)(419, 1169, 639, 1389)(420, 1170, 469, 1219)(421, 1171, 589, 1339)(422, 1172, 597, 1347)(423, 1173, 468, 1218)(424, 1174, 662, 1412)(425, 1175, 435, 1185)(426, 1176, 576, 1326)(428, 1178, 666, 1416)(429, 1179, 552, 1302)(430, 1180, 451, 1201)(431, 1181, 610, 1360)(432, 1182, 672, 1422)(433, 1183, 663, 1413)(436, 1186, 649, 1399)(438, 1188, 629, 1379)(443, 1193, 481, 1231)(448, 1198, 516, 1266)(449, 1199, 494, 1244)(450, 1200, 619, 1369)(452, 1202, 485, 1235)(454, 1204, 691, 1441)(455, 1205, 491, 1241)(458, 1208, 508, 1258)(464, 1214, 695, 1445)(465, 1215, 698, 1448)(466, 1216, 699, 1449)(467, 1217, 483, 1233)(470, 1220, 627, 1377)(471, 1221, 671, 1421)(472, 1222, 618, 1368)(474, 1224, 704, 1454)(475, 1225, 542, 1292)(477, 1227, 707, 1457)(484, 1234, 676, 1426)(493, 1243, 574, 1324)(500, 1250, 601, 1351)(504, 1254, 718, 1468)(506, 1256, 545, 1295)(513, 1263, 674, 1424)(515, 1265, 571, 1321)(517, 1267, 636, 1386)(523, 1273, 685, 1435)(525, 1275, 598, 1348)(528, 1278, 550, 1300)(533, 1283, 613, 1363)(549, 1299, 578, 1328)(562, 1312, 602, 1352)(566, 1316, 614, 1364)(567, 1317, 734, 1484)(575, 1325, 622, 1372)(580, 1330, 644, 1394)(581, 1331, 631, 1381)(582, 1332, 630, 1380)(590, 1340, 670, 1420)(599, 1349, 656, 1406)(604, 1354, 705, 1455)(605, 1355, 660, 1410)(606, 1356, 659, 1409)(607, 1357, 730, 1480)(611, 1361, 628, 1378)(616, 1366, 719, 1469)(620, 1370, 682, 1432)(621, 1371, 681, 1431)(624, 1374, 689, 1439)(625, 1375, 688, 1438)(633, 1383, 726, 1476)(638, 1388, 652, 1402)(646, 1396, 683, 1433)(648, 1398, 696, 1446)(653, 1403, 687, 1437)(654, 1404, 711, 1461)(655, 1405, 701, 1451)(657, 1407, 715, 1465)(658, 1408, 678, 1428)(661, 1411, 692, 1442)(664, 1414, 690, 1440)(665, 1415, 739, 1489)(667, 1417, 703, 1453)(668, 1418, 700, 1450)(669, 1419, 680, 1430)(673, 1423, 732, 1482)(675, 1425, 727, 1477)(677, 1427, 747, 1497)(679, 1429, 721, 1471)(684, 1434, 741, 1491)(686, 1436, 710, 1460)(693, 1443, 740, 1490)(694, 1444, 750, 1500)(697, 1447, 743, 1493)(702, 1452, 738, 1488)(706, 1456, 733, 1483)(708, 1458, 749, 1499)(709, 1459, 713, 1463)(712, 1462, 728, 1478)(714, 1464, 744, 1494)(716, 1466, 722, 1472)(717, 1467, 746, 1496)(720, 1470, 748, 1498)(723, 1473, 736, 1486)(724, 1474, 735, 1485)(725, 1475, 745, 1495)(729, 1479, 737, 1487)(731, 1481, 742, 1492)(1501, 2251, 1503, 2253, 1504, 2254)(1502, 2252, 1505, 2255, 1506, 2256)(1507, 2257, 1511, 2261, 1512, 2262)(1508, 2258, 1513, 2263, 1514, 2264)(1509, 2259, 1515, 2265, 1516, 2266)(1510, 2260, 1517, 2267, 1518, 2268)(1519, 2269, 1527, 2277, 1528, 2278)(1520, 2270, 1529, 2279, 1530, 2280)(1521, 2271, 1531, 2281, 1532, 2282)(1522, 2272, 1533, 2283, 1534, 2284)(1523, 2273, 1535, 2285, 1536, 2286)(1524, 2274, 1537, 2287, 1538, 2288)(1525, 2275, 1539, 2289, 1540, 2290)(1526, 2276, 1541, 2291, 1542, 2292)(1543, 2293, 1559, 2309, 1560, 2310)(1544, 2294, 1561, 2311, 1562, 2312)(1545, 2295, 1563, 2313, 1564, 2314)(1546, 2296, 1565, 2315, 1566, 2316)(1547, 2297, 1567, 2317, 1568, 2318)(1548, 2298, 1569, 2319, 1570, 2320)(1549, 2299, 1571, 2321, 1572, 2322)(1550, 2300, 1573, 2323, 1574, 2324)(1551, 2301, 1575, 2325, 1576, 2326)(1552, 2302, 1577, 2327, 1578, 2328)(1553, 2303, 1579, 2329, 1580, 2330)(1554, 2304, 1581, 2331, 1582, 2332)(1555, 2305, 1583, 2333, 1584, 2334)(1556, 2306, 1585, 2335, 1586, 2336)(1557, 2307, 1587, 2337, 1588, 2338)(1558, 2308, 1589, 2339, 1590, 2340)(1591, 2341, 1623, 2373, 1624, 2374)(1592, 2342, 1625, 2375, 1626, 2376)(1593, 2343, 1627, 2377, 1628, 2378)(1594, 2344, 1629, 2379, 1630, 2380)(1595, 2345, 1631, 2381, 1632, 2382)(1596, 2346, 1633, 2383, 1634, 2384)(1597, 2347, 1635, 2385, 1636, 2386)(1598, 2348, 1637, 2387, 1638, 2388)(1599, 2349, 1639, 2389, 1640, 2390)(1600, 2350, 1641, 2391, 1642, 2392)(1601, 2351, 1643, 2393, 1644, 2394)(1602, 2352, 1645, 2395, 1646, 2396)(1603, 2353, 1647, 2397, 1648, 2398)(1604, 2354, 1649, 2399, 1650, 2400)(1605, 2355, 1651, 2401, 1652, 2402)(1606, 2356, 1653, 2403, 1654, 2404)(1607, 2357, 1655, 2405, 1656, 2406)(1608, 2358, 1657, 2407, 1658, 2408)(1609, 2359, 1659, 2409, 1660, 2410)(1610, 2360, 1661, 2411, 1662, 2412)(1611, 2361, 1663, 2413, 1664, 2414)(1612, 2362, 1665, 2415, 1666, 2416)(1613, 2363, 1667, 2417, 1668, 2418)(1614, 2364, 1669, 2419, 1670, 2420)(1615, 2365, 1671, 2421, 1672, 2422)(1616, 2366, 1673, 2423, 1674, 2424)(1617, 2367, 1675, 2425, 1676, 2426)(1618, 2368, 1677, 2427, 1678, 2428)(1619, 2369, 1679, 2429, 1680, 2430)(1620, 2370, 1681, 2431, 1682, 2432)(1621, 2371, 1683, 2433, 1684, 2434)(1622, 2372, 1685, 2435, 1686, 2436)(1687, 2437, 1747, 2497, 1748, 2498)(1688, 2438, 1749, 2499, 1750, 2500)(1689, 2439, 1751, 2501, 1752, 2502)(1690, 2440, 1753, 2503, 1754, 2504)(1691, 2441, 1755, 2505, 1756, 2506)(1692, 2442, 1757, 2507, 1758, 2508)(1693, 2443, 1759, 2509, 1760, 2510)(1694, 2444, 1761, 2511, 1762, 2512)(1695, 2445, 1763, 2513, 1764, 2514)(1696, 2446, 1765, 2515, 1766, 2516)(1697, 2447, 1767, 2517, 1768, 2518)(1698, 2448, 1769, 2519, 1770, 2520)(1699, 2449, 1771, 2521, 1772, 2522)(1700, 2450, 1773, 2523, 1774, 2524)(1701, 2451, 1775, 2525, 1702, 2452)(1703, 2453, 1776, 2526, 1777, 2527)(1704, 2454, 1778, 2528, 1779, 2529)(1705, 2455, 1780, 2530, 1781, 2531)(1706, 2456, 1782, 2532, 1783, 2533)(1707, 2457, 1784, 2534, 1785, 2535)(1708, 2458, 1786, 2536, 1787, 2537)(1709, 2459, 1788, 2538, 1789, 2539)(1710, 2460, 1790, 2540, 1791, 2541)(1711, 2461, 1792, 2542, 1793, 2543)(1712, 2462, 1794, 2544, 1795, 2545)(1713, 2463, 1796, 2546, 1797, 2547)(1714, 2464, 1798, 2548, 1799, 2549)(1715, 2465, 1800, 2550, 1801, 2551)(1716, 2466, 1802, 2552, 1803, 2553)(1717, 2467, 1933, 2683, 2166, 2916)(1718, 2468, 1935, 2685, 2175, 2925)(1719, 2469, 1937, 2687, 2177, 2927)(1720, 2470, 1939, 2689, 1885, 2635)(1721, 2471, 1941, 2691, 2042, 2792)(1722, 2472, 1825, 2575, 1823, 2573)(1723, 2473, 1942, 2692, 2183, 2933)(1724, 2474, 1818, 2568, 1896, 2646)(1725, 2475, 1945, 2695, 2185, 2935)(1726, 2476, 1946, 2696, 2011, 2761)(1727, 2477, 1866, 2616, 2107, 2857)(1728, 2478, 1949, 2699, 1965, 2715)(1729, 2479, 1824, 2574, 1882, 2632)(1730, 2480, 1952, 2702, 2065, 2815)(1731, 2481, 1953, 2703, 1732, 2482)(1733, 2483, 1864, 2614, 2104, 2854)(1734, 2484, 1955, 2705, 2010, 2760)(1735, 2485, 1957, 2707, 1898, 2648)(1736, 2486, 1959, 2709, 2007, 2757)(1737, 2487, 1961, 2711, 2027, 2777)(1738, 2488, 1853, 2603, 1851, 2601)(1739, 2489, 1962, 2712, 2151, 2901)(1740, 2490, 1840, 2590, 2071, 2821)(1741, 2491, 1964, 2714, 2196, 2946)(1742, 2492, 1966, 2716, 2012, 2762)(1743, 2493, 1944, 2694, 2184, 2934)(1744, 2494, 1969, 2719, 1867, 2617)(1745, 2495, 1852, 2602, 2090, 2840)(1746, 2496, 1972, 2722, 2123, 2873)(1804, 2554, 1828, 2578, 1826, 2576)(1805, 2555, 1831, 2581, 1829, 2579)(1806, 2556, 1815, 2565, 1814, 2564)(1807, 2557, 1813, 2563, 1812, 2562)(1808, 2558, 1847, 2597, 1845, 2595)(1809, 2559, 1850, 2600, 1848, 2598)(1810, 2560, 1856, 2606, 1854, 2604)(1811, 2561, 1859, 2609, 1857, 2607)(1816, 2566, 1886, 2636, 1884, 2634)(1817, 2567, 1890, 2640, 1888, 2638)(1819, 2569, 1899, 2649, 1897, 2647)(1820, 2570, 1903, 2653, 1902, 2652)(1821, 2571, 1907, 2657, 1905, 2655)(1822, 2572, 1914, 2664, 1913, 2663)(1827, 2577, 1893, 2643, 1891, 2641)(1830, 2580, 1910, 2660, 1908, 2658)(1832, 2582, 1977, 2727, 1975, 2725)(1833, 2583, 1985, 2735, 1983, 2733)(1834, 2584, 2001, 2751, 2000, 2750)(1835, 2585, 2008, 2758, 2006, 2756)(1836, 2586, 2017, 2767, 2015, 2765)(1837, 2587, 1900, 2650, 2033, 2783)(1838, 2588, 2067, 2817, 1980, 2730)(1839, 2589, 1999, 2749, 2052, 2802)(1841, 2591, 2073, 2823, 2075, 2825)(1842, 2592, 2076, 2826, 2078, 2828)(1843, 2593, 2080, 2830, 2020, 2770)(1844, 2594, 1881, 2631, 2082, 2832)(1846, 2596, 1991, 2741, 1988, 2738)(1849, 2599, 2023, 2773, 2019, 2769)(1855, 2605, 2005, 2755, 2043, 2793)(1858, 2608, 1992, 2742, 2037, 2787)(1860, 2610, 2032, 2782, 2055, 2805)(1861, 2611, 2068, 2818, 1996, 2746)(1862, 2612, 2097, 2847, 2099, 2849)(1863, 2613, 2100, 2850, 2102, 2852)(1865, 2615, 1892, 2642, 2106, 2856)(1868, 2618, 1967, 2717, 1947, 2697)(1869, 2619, 2110, 2860, 2111, 2861)(1870, 2620, 2112, 2862, 2114, 2864)(1871, 2621, 2116, 2866, 1989, 2739)(1872, 2622, 2118, 2868, 2058, 2808)(1873, 2623, 2059, 2809, 1994, 2744)(1874, 2624, 2119, 2869, 2121, 2871)(1875, 2625, 2096, 2846, 1993, 2743)(1876, 2626, 1909, 2659, 2125, 2875)(1877, 2627, 1929, 2679, 1920, 2670)(1878, 2628, 2127, 2877, 2128, 2878)(1879, 2629, 2129, 2879, 2131, 2881)(1880, 2630, 2133, 2883, 2134, 2884)(1883, 2633, 2136, 2886, 2048, 2798)(1887, 2637, 2138, 2888, 2139, 2889)(1889, 2639, 2024, 2774, 2038, 2788)(1894, 2644, 1960, 2710, 2061, 2811)(1895, 2645, 1956, 2706, 2040, 2790)(1901, 2651, 2144, 2894, 2044, 2794)(1904, 2654, 2013, 2763, 1981, 2731)(1906, 2656, 2148, 2898, 2039, 2789)(1911, 2661, 1927, 2677, 2072, 2822)(1912, 2662, 1925, 2675, 2046, 2796)(1915, 2665, 2152, 2902, 2070, 2820)(1916, 2666, 2063, 2813, 2028, 2778)(1917, 2667, 2153, 2903, 2155, 2905)(1918, 2668, 2109, 2859, 2025, 2775)(1919, 2669, 1990, 2740, 2146, 2896)(1921, 2671, 2157, 2907, 2122, 2872)(1922, 2672, 2158, 2908, 2160, 2910)(1923, 2673, 2161, 2911, 2092, 2842)(1924, 2674, 2163, 2913, 2088, 2838)(1926, 2676, 2124, 2874, 2165, 2915)(1928, 2678, 2021, 2771, 2167, 2917)(1930, 2680, 2168, 2918, 2156, 2906)(1931, 2681, 2169, 2919, 2171, 2921)(1932, 2682, 2173, 2923, 2137, 2887)(1934, 2684, 2174, 2924, 2018, 2768)(1936, 2686, 2077, 2827, 2176, 2926)(1938, 2688, 2178, 2928, 2180, 2930)(1940, 2690, 2126, 2876, 2182, 2932)(1943, 2693, 1987, 2737, 1986, 2736)(1948, 2698, 2186, 2936, 2101, 2851)(1950, 2700, 2187, 2937, 2189, 2939)(1951, 2701, 2190, 2940, 2085, 2835)(1954, 2704, 1973, 2723, 2094, 2844)(1958, 2708, 2105, 2855, 2193, 2943)(1963, 2713, 2034, 2784, 2194, 2944)(1968, 2718, 2200, 2950, 2181, 2931)(1970, 2720, 2201, 2951, 2172, 2922)(1971, 2721, 2202, 2952, 2145, 2895)(1974, 2724, 2205, 2955, 2036, 2786)(1976, 2726, 2026, 2776, 2045, 2795)(1978, 2728, 2204, 2954, 2203, 2953)(1979, 2729, 2022, 2772, 2150, 2900)(1982, 2732, 2050, 2800, 2208, 2958)(1984, 2734, 2209, 2959, 2051, 2801)(1995, 2745, 2074, 2824, 2162, 2912)(1997, 2747, 2212, 2962, 2213, 2963)(1998, 2748, 2084, 2834, 2214, 2964)(2002, 2752, 2141, 2891, 2206, 2956)(2003, 2753, 2035, 2785, 2217, 2967)(2004, 2754, 2219, 2969, 2041, 2791)(2009, 2759, 2218, 2968, 2188, 2938)(2014, 2764, 2053, 2803, 2220, 2970)(2016, 2766, 2221, 2971, 2054, 2804)(2029, 2779, 2098, 2848, 2117, 2867)(2030, 2780, 2223, 2973, 2179, 2929)(2031, 2781, 2087, 2837, 2224, 2974)(2047, 2797, 2225, 2975, 2226, 2976)(2049, 2799, 2227, 2977, 2199, 2949)(2056, 2806, 2228, 2978, 2091, 2841)(2057, 2807, 2089, 2839, 2211, 2961)(2060, 2810, 2229, 2979, 2192, 2942)(2062, 2812, 2191, 2941, 2230, 2980)(2064, 2814, 2231, 2981, 2232, 2982)(2066, 2816, 2233, 2983, 2234, 2984)(2069, 2819, 2235, 2985, 2164, 2914)(2079, 2829, 2222, 2972, 2238, 2988)(2081, 2831, 2197, 2947, 2207, 2957)(2083, 2833, 2236, 2986, 2135, 2885)(2086, 2836, 2195, 2945, 2142, 2892)(2093, 2843, 2237, 2987, 2170, 2920)(2095, 2845, 2241, 2991, 2120, 2870)(2103, 2853, 2149, 2899, 2243, 2993)(2108, 2858, 2244, 2994, 2154, 2904)(2113, 2863, 2147, 2897, 2216, 2966)(2115, 2865, 2210, 2960, 2240, 2990)(2130, 2880, 2140, 2890, 2242, 2992)(2132, 2882, 2215, 2965, 2239, 2989)(2143, 2893, 2245, 2995, 2159, 2909)(2198, 2948, 2248, 2998, 2249, 2999)(2246, 2996, 2250, 3000, 2247, 2997)
	L = (1, 1502)(2, 1501)(3, 1507)(4, 1508)(5, 1509)(6, 1510)(7, 1503)(8, 1504)(9, 1505)(10, 1506)(11, 1519)(12, 1520)(13, 1521)(14, 1522)(15, 1523)(16, 1524)(17, 1525)(18, 1526)(19, 1511)(20, 1512)(21, 1513)(22, 1514)(23, 1515)(24, 1516)(25, 1517)(26, 1518)(27, 1543)(28, 1544)(29, 1545)(30, 1546)(31, 1547)(32, 1548)(33, 1549)(34, 1550)(35, 1551)(36, 1552)(37, 1553)(38, 1554)(39, 1555)(40, 1556)(41, 1557)(42, 1558)(43, 1527)(44, 1528)(45, 1529)(46, 1530)(47, 1531)(48, 1532)(49, 1533)(50, 1534)(51, 1535)(52, 1536)(53, 1537)(54, 1538)(55, 1539)(56, 1540)(57, 1541)(58, 1542)(59, 1591)(60, 1592)(61, 1593)(62, 1594)(63, 1595)(64, 1596)(65, 1597)(66, 1598)(67, 1599)(68, 1600)(69, 1601)(70, 1602)(71, 1603)(72, 1604)(73, 1605)(74, 1606)(75, 1607)(76, 1608)(77, 1609)(78, 1610)(79, 1611)(80, 1612)(81, 1613)(82, 1614)(83, 1615)(84, 1616)(85, 1617)(86, 1618)(87, 1619)(88, 1620)(89, 1621)(90, 1622)(91, 1559)(92, 1560)(93, 1561)(94, 1562)(95, 1563)(96, 1564)(97, 1565)(98, 1566)(99, 1567)(100, 1568)(101, 1569)(102, 1570)(103, 1571)(104, 1572)(105, 1573)(106, 1574)(107, 1575)(108, 1576)(109, 1577)(110, 1578)(111, 1579)(112, 1580)(113, 1581)(114, 1582)(115, 1583)(116, 1584)(117, 1585)(118, 1586)(119, 1587)(120, 1588)(121, 1589)(122, 1590)(123, 1686)(124, 1687)(125, 1688)(126, 1689)(127, 1690)(128, 1691)(129, 1692)(130, 1693)(131, 1694)(132, 1695)(133, 1696)(134, 1697)(135, 1698)(136, 1699)(137, 1700)(138, 1701)(139, 1702)(140, 1703)(141, 1704)(142, 1705)(143, 1706)(144, 1707)(145, 1708)(146, 1709)(147, 1710)(148, 1711)(149, 1712)(150, 1713)(151, 1714)(152, 1715)(153, 1716)(154, 1655)(155, 1654)(156, 1717)(157, 1718)(158, 1719)(159, 1720)(160, 1721)(161, 1722)(162, 1723)(163, 1724)(164, 1725)(165, 1726)(166, 1727)(167, 1728)(168, 1729)(169, 1730)(170, 1731)(171, 1732)(172, 1733)(173, 1734)(174, 1735)(175, 1736)(176, 1737)(177, 1738)(178, 1739)(179, 1740)(180, 1741)(181, 1742)(182, 1743)(183, 1744)(184, 1745)(185, 1746)(186, 1623)(187, 1624)(188, 1625)(189, 1626)(190, 1627)(191, 1628)(192, 1629)(193, 1630)(194, 1631)(195, 1632)(196, 1633)(197, 1634)(198, 1635)(199, 1636)(200, 1637)(201, 1638)(202, 1639)(203, 1640)(204, 1641)(205, 1642)(206, 1643)(207, 1644)(208, 1645)(209, 1646)(210, 1647)(211, 1648)(212, 1649)(213, 1650)(214, 1651)(215, 1652)(216, 1653)(217, 1656)(218, 1657)(219, 1658)(220, 1659)(221, 1660)(222, 1661)(223, 1662)(224, 1663)(225, 1664)(226, 1665)(227, 1666)(228, 1667)(229, 1668)(230, 1669)(231, 1670)(232, 1671)(233, 1672)(234, 1673)(235, 1674)(236, 1675)(237, 1676)(238, 1677)(239, 1678)(240, 1679)(241, 1680)(242, 1681)(243, 1682)(244, 1683)(245, 1684)(246, 1685)(247, 1973)(248, 1963)(249, 1956)(250, 1976)(251, 1804)(252, 1978)(253, 1854)(254, 1979)(255, 1946)(256, 1980)(257, 1982)(258, 1891)(259, 1883)(260, 1986)(261, 1987)(262, 1989)(263, 1945)(264, 1992)(265, 1941)(266, 1961)(267, 1824)(268, 1995)(269, 1996)(270, 1997)(271, 1866)(272, 1998)(273, 1999)(274, 1844)(275, 1887)(276, 2002)(277, 2003)(278, 2005)(279, 2007)(280, 1806)(281, 2009)(282, 1884)(283, 2010)(284, 2011)(285, 2012)(286, 2014)(287, 1851)(288, 1894)(289, 1934)(290, 2018)(291, 2020)(292, 2022)(293, 2024)(294, 2026)(295, 2027)(296, 1827)(297, 2029)(298, 1947)(299, 2030)(300, 1838)(301, 2031)(302, 2032)(303, 1865)(304, 1751)(305, 1937)(306, 1780)(307, 1957)(308, 2034)(309, 2035)(310, 2021)(311, 2036)(312, 2037)(313, 2038)(314, 2019)(315, 2039)(316, 1909)(317, 2041)(318, 1990)(319, 2044)(320, 1892)(321, 2047)(322, 2048)(323, 1908)(324, 1767)(325, 2051)(326, 1988)(327, 1796)(328, 2054)(329, 2043)(330, 1944)(331, 2057)(332, 1852)(333, 2060)(334, 2061)(335, 1881)(336, 2064)(337, 2065)(338, 1800)(339, 2069)(340, 2070)(341, 2072)(342, 1900)(343, 2079)(344, 1774)(345, 1939)(346, 2084)(347, 2085)(348, 2040)(349, 2087)(350, 1940)(351, 1787)(352, 1832)(353, 2091)(354, 1753)(355, 2083)(356, 2092)(357, 2046)(358, 2093)(359, 1918)(360, 2095)(361, 2088)(362, 2096)(363, 1914)(364, 2103)(365, 1803)(366, 1771)(367, 2108)(368, 2058)(369, 2109)(370, 2001)(371, 2115)(372, 2117)(373, 2094)(374, 2100)(375, 1899)(376, 2123)(377, 2055)(378, 2126)(379, 2073)(380, 2132)(381, 1835)(382, 2135)(383, 1759)(384, 1782)(385, 2086)(386, 2137)(387, 1775)(388, 2059)(389, 2140)(390, 1927)(391, 1758)(392, 1820)(393, 2142)(394, 1788)(395, 2056)(396, 2134)(397, 2063)(398, 2143)(399, 1875)(400, 1842)(401, 1942)(402, 1959)(403, 2145)(404, 1953)(405, 2068)(406, 2147)(407, 1960)(408, 1823)(409, 1816)(410, 2150)(411, 1962)(412, 2053)(413, 2077)(414, 1863)(415, 2151)(416, 2141)(417, 2112)(418, 1859)(419, 2139)(420, 1969)(421, 2089)(422, 2097)(423, 1968)(424, 2162)(425, 1935)(426, 2076)(427, 1890)(428, 2166)(429, 2052)(430, 1951)(431, 2110)(432, 2172)(433, 2163)(434, 1789)(435, 1925)(436, 2149)(437, 1805)(438, 2129)(439, 1845)(440, 1850)(441, 1765)(442, 1901)(443, 1981)(444, 1830)(445, 1763)(446, 1755)(447, 1798)(448, 2016)(449, 1994)(450, 2119)(451, 1930)(452, 1985)(453, 1904)(454, 2191)(455, 1991)(456, 1749)(457, 1807)(458, 2008)(459, 1902)(460, 1907)(461, 1766)(462, 1911)(463, 1748)(464, 2195)(465, 2198)(466, 2199)(467, 1983)(468, 1923)(469, 1920)(470, 2127)(471, 2171)(472, 2118)(473, 1747)(474, 2204)(475, 2042)(476, 1750)(477, 2207)(478, 1752)(479, 1754)(480, 1756)(481, 1943)(482, 1757)(483, 1967)(484, 2176)(485, 1952)(486, 1760)(487, 1761)(488, 1826)(489, 1762)(490, 1818)(491, 1955)(492, 1764)(493, 2074)(494, 1949)(495, 1768)(496, 1769)(497, 1770)(498, 1772)(499, 1773)(500, 2101)(501, 1870)(502, 1776)(503, 1777)(504, 2218)(505, 1778)(506, 2045)(507, 1779)(508, 1958)(509, 1781)(510, 1783)(511, 1784)(512, 1785)(513, 2174)(514, 1786)(515, 2071)(516, 1948)(517, 2136)(518, 1790)(519, 1814)(520, 1791)(521, 1810)(522, 1792)(523, 2185)(524, 1793)(525, 2098)(526, 1794)(527, 1795)(528, 2050)(529, 1797)(530, 1799)(531, 1801)(532, 1802)(533, 2113)(534, 1808)(535, 1809)(536, 1811)(537, 1812)(538, 1813)(539, 1815)(540, 1848)(541, 1817)(542, 1975)(543, 1829)(544, 1819)(545, 2006)(546, 1857)(547, 1821)(548, 1822)(549, 2078)(550, 2028)(551, 1825)(552, 1929)(553, 1912)(554, 1828)(555, 1877)(556, 1895)(557, 1831)(558, 1868)(559, 1888)(560, 1833)(561, 1834)(562, 2102)(563, 1897)(564, 1836)(565, 1837)(566, 2114)(567, 2234)(568, 1905)(569, 1839)(570, 1840)(571, 2015)(572, 1841)(573, 1879)(574, 1993)(575, 2122)(576, 1926)(577, 1913)(578, 2049)(579, 1843)(580, 2144)(581, 2131)(582, 2130)(583, 1855)(584, 1846)(585, 1847)(586, 1885)(587, 1849)(588, 1861)(589, 1921)(590, 2170)(591, 1853)(592, 1856)(593, 1858)(594, 1873)(595, 1860)(596, 1862)(597, 1922)(598, 2025)(599, 2156)(600, 1874)(601, 2000)(602, 2062)(603, 1864)(604, 2205)(605, 2160)(606, 2159)(607, 2230)(608, 1867)(609, 1869)(610, 1931)(611, 2128)(612, 1917)(613, 2033)(614, 2066)(615, 1871)(616, 2219)(617, 1872)(618, 1972)(619, 1950)(620, 2182)(621, 2181)(622, 2075)(623, 1876)(624, 2189)(625, 2188)(626, 1878)(627, 1970)(628, 2111)(629, 1938)(630, 2082)(631, 2081)(632, 1880)(633, 2226)(634, 1896)(635, 1882)(636, 2017)(637, 1886)(638, 2152)(639, 1919)(640, 1889)(641, 1916)(642, 1893)(643, 1898)(644, 2080)(645, 1903)(646, 2183)(647, 1906)(648, 2196)(649, 1936)(650, 1910)(651, 1915)(652, 2138)(653, 2187)(654, 2211)(655, 2201)(656, 2099)(657, 2215)(658, 2178)(659, 2106)(660, 2105)(661, 2192)(662, 1924)(663, 1933)(664, 2190)(665, 2239)(666, 1928)(667, 2203)(668, 2200)(669, 2180)(670, 2090)(671, 1971)(672, 1932)(673, 2232)(674, 2013)(675, 2227)(676, 1984)(677, 2247)(678, 2158)(679, 2221)(680, 2169)(681, 2121)(682, 2120)(683, 2146)(684, 2241)(685, 2023)(686, 2210)(687, 2153)(688, 2125)(689, 2124)(690, 2164)(691, 1954)(692, 2161)(693, 2240)(694, 2250)(695, 1964)(696, 2148)(697, 2243)(698, 1965)(699, 1966)(700, 2168)(701, 2155)(702, 2238)(703, 2167)(704, 1974)(705, 2104)(706, 2233)(707, 1977)(708, 2249)(709, 2213)(710, 2186)(711, 2154)(712, 2228)(713, 2209)(714, 2244)(715, 2157)(716, 2222)(717, 2246)(718, 2004)(719, 2116)(720, 2248)(721, 2179)(722, 2216)(723, 2236)(724, 2235)(725, 2245)(726, 2133)(727, 2175)(728, 2212)(729, 2237)(730, 2107)(731, 2242)(732, 2173)(733, 2206)(734, 2067)(735, 2224)(736, 2223)(737, 2229)(738, 2202)(739, 2165)(740, 2193)(741, 2184)(742, 2231)(743, 2197)(744, 2214)(745, 2225)(746, 2217)(747, 2177)(748, 2220)(749, 2208)(750, 2194)(751, 2251)(752, 2252)(753, 2253)(754, 2254)(755, 2255)(756, 2256)(757, 2257)(758, 2258)(759, 2259)(760, 2260)(761, 2261)(762, 2262)(763, 2263)(764, 2264)(765, 2265)(766, 2266)(767, 2267)(768, 2268)(769, 2269)(770, 2270)(771, 2271)(772, 2272)(773, 2273)(774, 2274)(775, 2275)(776, 2276)(777, 2277)(778, 2278)(779, 2279)(780, 2280)(781, 2281)(782, 2282)(783, 2283)(784, 2284)(785, 2285)(786, 2286)(787, 2287)(788, 2288)(789, 2289)(790, 2290)(791, 2291)(792, 2292)(793, 2293)(794, 2294)(795, 2295)(796, 2296)(797, 2297)(798, 2298)(799, 2299)(800, 2300)(801, 2301)(802, 2302)(803, 2303)(804, 2304)(805, 2305)(806, 2306)(807, 2307)(808, 2308)(809, 2309)(810, 2310)(811, 2311)(812, 2312)(813, 2313)(814, 2314)(815, 2315)(816, 2316)(817, 2317)(818, 2318)(819, 2319)(820, 2320)(821, 2321)(822, 2322)(823, 2323)(824, 2324)(825, 2325)(826, 2326)(827, 2327)(828, 2328)(829, 2329)(830, 2330)(831, 2331)(832, 2332)(833, 2333)(834, 2334)(835, 2335)(836, 2336)(837, 2337)(838, 2338)(839, 2339)(840, 2340)(841, 2341)(842, 2342)(843, 2343)(844, 2344)(845, 2345)(846, 2346)(847, 2347)(848, 2348)(849, 2349)(850, 2350)(851, 2351)(852, 2352)(853, 2353)(854, 2354)(855, 2355)(856, 2356)(857, 2357)(858, 2358)(859, 2359)(860, 2360)(861, 2361)(862, 2362)(863, 2363)(864, 2364)(865, 2365)(866, 2366)(867, 2367)(868, 2368)(869, 2369)(870, 2370)(871, 2371)(872, 2372)(873, 2373)(874, 2374)(875, 2375)(876, 2376)(877, 2377)(878, 2378)(879, 2379)(880, 2380)(881, 2381)(882, 2382)(883, 2383)(884, 2384)(885, 2385)(886, 2386)(887, 2387)(888, 2388)(889, 2389)(890, 2390)(891, 2391)(892, 2392)(893, 2393)(894, 2394)(895, 2395)(896, 2396)(897, 2397)(898, 2398)(899, 2399)(900, 2400)(901, 2401)(902, 2402)(903, 2403)(904, 2404)(905, 2405)(906, 2406)(907, 2407)(908, 2408)(909, 2409)(910, 2410)(911, 2411)(912, 2412)(913, 2413)(914, 2414)(915, 2415)(916, 2416)(917, 2417)(918, 2418)(919, 2419)(920, 2420)(921, 2421)(922, 2422)(923, 2423)(924, 2424)(925, 2425)(926, 2426)(927, 2427)(928, 2428)(929, 2429)(930, 2430)(931, 2431)(932, 2432)(933, 2433)(934, 2434)(935, 2435)(936, 2436)(937, 2437)(938, 2438)(939, 2439)(940, 2440)(941, 2441)(942, 2442)(943, 2443)(944, 2444)(945, 2445)(946, 2446)(947, 2447)(948, 2448)(949, 2449)(950, 2450)(951, 2451)(952, 2452)(953, 2453)(954, 2454)(955, 2455)(956, 2456)(957, 2457)(958, 2458)(959, 2459)(960, 2460)(961, 2461)(962, 2462)(963, 2463)(964, 2464)(965, 2465)(966, 2466)(967, 2467)(968, 2468)(969, 2469)(970, 2470)(971, 2471)(972, 2472)(973, 2473)(974, 2474)(975, 2475)(976, 2476)(977, 2477)(978, 2478)(979, 2479)(980, 2480)(981, 2481)(982, 2482)(983, 2483)(984, 2484)(985, 2485)(986, 2486)(987, 2487)(988, 2488)(989, 2489)(990, 2490)(991, 2491)(992, 2492)(993, 2493)(994, 2494)(995, 2495)(996, 2496)(997, 2497)(998, 2498)(999, 2499)(1000, 2500)(1001, 2501)(1002, 2502)(1003, 2503)(1004, 2504)(1005, 2505)(1006, 2506)(1007, 2507)(1008, 2508)(1009, 2509)(1010, 2510)(1011, 2511)(1012, 2512)(1013, 2513)(1014, 2514)(1015, 2515)(1016, 2516)(1017, 2517)(1018, 2518)(1019, 2519)(1020, 2520)(1021, 2521)(1022, 2522)(1023, 2523)(1024, 2524)(1025, 2525)(1026, 2526)(1027, 2527)(1028, 2528)(1029, 2529)(1030, 2530)(1031, 2531)(1032, 2532)(1033, 2533)(1034, 2534)(1035, 2535)(1036, 2536)(1037, 2537)(1038, 2538)(1039, 2539)(1040, 2540)(1041, 2541)(1042, 2542)(1043, 2543)(1044, 2544)(1045, 2545)(1046, 2546)(1047, 2547)(1048, 2548)(1049, 2549)(1050, 2550)(1051, 2551)(1052, 2552)(1053, 2553)(1054, 2554)(1055, 2555)(1056, 2556)(1057, 2557)(1058, 2558)(1059, 2559)(1060, 2560)(1061, 2561)(1062, 2562)(1063, 2563)(1064, 2564)(1065, 2565)(1066, 2566)(1067, 2567)(1068, 2568)(1069, 2569)(1070, 2570)(1071, 2571)(1072, 2572)(1073, 2573)(1074, 2574)(1075, 2575)(1076, 2576)(1077, 2577)(1078, 2578)(1079, 2579)(1080, 2580)(1081, 2581)(1082, 2582)(1083, 2583)(1084, 2584)(1085, 2585)(1086, 2586)(1087, 2587)(1088, 2588)(1089, 2589)(1090, 2590)(1091, 2591)(1092, 2592)(1093, 2593)(1094, 2594)(1095, 2595)(1096, 2596)(1097, 2597)(1098, 2598)(1099, 2599)(1100, 2600)(1101, 2601)(1102, 2602)(1103, 2603)(1104, 2604)(1105, 2605)(1106, 2606)(1107, 2607)(1108, 2608)(1109, 2609)(1110, 2610)(1111, 2611)(1112, 2612)(1113, 2613)(1114, 2614)(1115, 2615)(1116, 2616)(1117, 2617)(1118, 2618)(1119, 2619)(1120, 2620)(1121, 2621)(1122, 2622)(1123, 2623)(1124, 2624)(1125, 2625)(1126, 2626)(1127, 2627)(1128, 2628)(1129, 2629)(1130, 2630)(1131, 2631)(1132, 2632)(1133, 2633)(1134, 2634)(1135, 2635)(1136, 2636)(1137, 2637)(1138, 2638)(1139, 2639)(1140, 2640)(1141, 2641)(1142, 2642)(1143, 2643)(1144, 2644)(1145, 2645)(1146, 2646)(1147, 2647)(1148, 2648)(1149, 2649)(1150, 2650)(1151, 2651)(1152, 2652)(1153, 2653)(1154, 2654)(1155, 2655)(1156, 2656)(1157, 2657)(1158, 2658)(1159, 2659)(1160, 2660)(1161, 2661)(1162, 2662)(1163, 2663)(1164, 2664)(1165, 2665)(1166, 2666)(1167, 2667)(1168, 2668)(1169, 2669)(1170, 2670)(1171, 2671)(1172, 2672)(1173, 2673)(1174, 2674)(1175, 2675)(1176, 2676)(1177, 2677)(1178, 2678)(1179, 2679)(1180, 2680)(1181, 2681)(1182, 2682)(1183, 2683)(1184, 2684)(1185, 2685)(1186, 2686)(1187, 2687)(1188, 2688)(1189, 2689)(1190, 2690)(1191, 2691)(1192, 2692)(1193, 2693)(1194, 2694)(1195, 2695)(1196, 2696)(1197, 2697)(1198, 2698)(1199, 2699)(1200, 2700)(1201, 2701)(1202, 2702)(1203, 2703)(1204, 2704)(1205, 2705)(1206, 2706)(1207, 2707)(1208, 2708)(1209, 2709)(1210, 2710)(1211, 2711)(1212, 2712)(1213, 2713)(1214, 2714)(1215, 2715)(1216, 2716)(1217, 2717)(1218, 2718)(1219, 2719)(1220, 2720)(1221, 2721)(1222, 2722)(1223, 2723)(1224, 2724)(1225, 2725)(1226, 2726)(1227, 2727)(1228, 2728)(1229, 2729)(1230, 2730)(1231, 2731)(1232, 2732)(1233, 2733)(1234, 2734)(1235, 2735)(1236, 2736)(1237, 2737)(1238, 2738)(1239, 2739)(1240, 2740)(1241, 2741)(1242, 2742)(1243, 2743)(1244, 2744)(1245, 2745)(1246, 2746)(1247, 2747)(1248, 2748)(1249, 2749)(1250, 2750)(1251, 2751)(1252, 2752)(1253, 2753)(1254, 2754)(1255, 2755)(1256, 2756)(1257, 2757)(1258, 2758)(1259, 2759)(1260, 2760)(1261, 2761)(1262, 2762)(1263, 2763)(1264, 2764)(1265, 2765)(1266, 2766)(1267, 2767)(1268, 2768)(1269, 2769)(1270, 2770)(1271, 2771)(1272, 2772)(1273, 2773)(1274, 2774)(1275, 2775)(1276, 2776)(1277, 2777)(1278, 2778)(1279, 2779)(1280, 2780)(1281, 2781)(1282, 2782)(1283, 2783)(1284, 2784)(1285, 2785)(1286, 2786)(1287, 2787)(1288, 2788)(1289, 2789)(1290, 2790)(1291, 2791)(1292, 2792)(1293, 2793)(1294, 2794)(1295, 2795)(1296, 2796)(1297, 2797)(1298, 2798)(1299, 2799)(1300, 2800)(1301, 2801)(1302, 2802)(1303, 2803)(1304, 2804)(1305, 2805)(1306, 2806)(1307, 2807)(1308, 2808)(1309, 2809)(1310, 2810)(1311, 2811)(1312, 2812)(1313, 2813)(1314, 2814)(1315, 2815)(1316, 2816)(1317, 2817)(1318, 2818)(1319, 2819)(1320, 2820)(1321, 2821)(1322, 2822)(1323, 2823)(1324, 2824)(1325, 2825)(1326, 2826)(1327, 2827)(1328, 2828)(1329, 2829)(1330, 2830)(1331, 2831)(1332, 2832)(1333, 2833)(1334, 2834)(1335, 2835)(1336, 2836)(1337, 2837)(1338, 2838)(1339, 2839)(1340, 2840)(1341, 2841)(1342, 2842)(1343, 2843)(1344, 2844)(1345, 2845)(1346, 2846)(1347, 2847)(1348, 2848)(1349, 2849)(1350, 2850)(1351, 2851)(1352, 2852)(1353, 2853)(1354, 2854)(1355, 2855)(1356, 2856)(1357, 2857)(1358, 2858)(1359, 2859)(1360, 2860)(1361, 2861)(1362, 2862)(1363, 2863)(1364, 2864)(1365, 2865)(1366, 2866)(1367, 2867)(1368, 2868)(1369, 2869)(1370, 2870)(1371, 2871)(1372, 2872)(1373, 2873)(1374, 2874)(1375, 2875)(1376, 2876)(1377, 2877)(1378, 2878)(1379, 2879)(1380, 2880)(1381, 2881)(1382, 2882)(1383, 2883)(1384, 2884)(1385, 2885)(1386, 2886)(1387, 2887)(1388, 2888)(1389, 2889)(1390, 2890)(1391, 2891)(1392, 2892)(1393, 2893)(1394, 2894)(1395, 2895)(1396, 2896)(1397, 2897)(1398, 2898)(1399, 2899)(1400, 2900)(1401, 2901)(1402, 2902)(1403, 2903)(1404, 2904)(1405, 2905)(1406, 2906)(1407, 2907)(1408, 2908)(1409, 2909)(1410, 2910)(1411, 2911)(1412, 2912)(1413, 2913)(1414, 2914)(1415, 2915)(1416, 2916)(1417, 2917)(1418, 2918)(1419, 2919)(1420, 2920)(1421, 2921)(1422, 2922)(1423, 2923)(1424, 2924)(1425, 2925)(1426, 2926)(1427, 2927)(1428, 2928)(1429, 2929)(1430, 2930)(1431, 2931)(1432, 2932)(1433, 2933)(1434, 2934)(1435, 2935)(1436, 2936)(1437, 2937)(1438, 2938)(1439, 2939)(1440, 2940)(1441, 2941)(1442, 2942)(1443, 2943)(1444, 2944)(1445, 2945)(1446, 2946)(1447, 2947)(1448, 2948)(1449, 2949)(1450, 2950)(1451, 2951)(1452, 2952)(1453, 2953)(1454, 2954)(1455, 2955)(1456, 2956)(1457, 2957)(1458, 2958)(1459, 2959)(1460, 2960)(1461, 2961)(1462, 2962)(1463, 2963)(1464, 2964)(1465, 2965)(1466, 2966)(1467, 2967)(1468, 2968)(1469, 2969)(1470, 2970)(1471, 2971)(1472, 2972)(1473, 2973)(1474, 2974)(1475, 2975)(1476, 2976)(1477, 2977)(1478, 2978)(1479, 2979)(1480, 2980)(1481, 2981)(1482, 2982)(1483, 2983)(1484, 2984)(1485, 2985)(1486, 2986)(1487, 2987)(1488, 2988)(1489, 2989)(1490, 2990)(1491, 2991)(1492, 2992)(1493, 2993)(1494, 2994)(1495, 2995)(1496, 2996)(1497, 2997)(1498, 2998)(1499, 2999)(1500, 3000)
	local type(s) :: { ( 2, 20, 2, 20 ), ( 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.1555
Graph:: bipartite
	v = 625 e = 1500 f = 825
	degree seq :: [ 4^375, 6^250 ]

E26.1553 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 10})
Quotient :: dipole
Aut^+ = $<750, 5>$ (small group id <750, 5>)
Aut   = $<1500, 37>$ (small group id <1500, 37>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y2^10, Y2^2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-3 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2^-2 * Y1 * Y2^2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^3 * Y1^-1 * Y2^2 * Y1^-1, Y1 * Y2^-4 * Y1^-1 * Y2^2 * Y1^-1 * Y2^-4 * Y1 * Y2^4 ]
Map::
	R = (1, 751, 2, 752, 4, 754)(3, 753, 8, 758, 10, 760)(5, 755, 12, 762, 6, 756)(7, 757, 15, 765, 11, 761)(9, 759, 18, 768, 20, 770)(13, 763, 25, 775, 23, 773)(14, 764, 24, 774, 28, 778)(16, 766, 31, 781, 29, 779)(17, 767, 33, 783, 21, 771)(19, 769, 36, 786, 38, 788)(22, 772, 30, 780, 42, 792)(26, 776, 47, 797, 45, 795)(27, 777, 49, 799, 51, 801)(32, 782, 57, 807, 55, 805)(34, 784, 61, 811, 59, 809)(35, 785, 63, 813, 39, 789)(37, 787, 66, 816, 68, 818)(40, 790, 60, 810, 72, 822)(41, 791, 73, 823, 75, 825)(43, 793, 46, 796, 78, 828)(44, 794, 79, 829, 52, 802)(48, 798, 85, 835, 83, 833)(50, 800, 87, 837, 89, 839)(53, 803, 56, 806, 93, 843)(54, 804, 94, 844, 76, 826)(58, 808, 100, 850, 98, 848)(62, 812, 105, 855, 103, 853)(64, 814, 109, 859, 107, 857)(65, 815, 111, 861, 69, 819)(67, 817, 114, 864, 115, 865)(70, 820, 108, 858, 119, 869)(71, 821, 120, 870, 122, 872)(74, 824, 125, 875, 126, 876)(77, 827, 129, 879, 131, 881)(80, 830, 135, 885, 133, 883)(81, 831, 84, 834, 138, 888)(82, 832, 139, 889, 132, 882)(86, 836, 144, 894, 90, 840)(88, 838, 147, 897, 148, 898)(91, 841, 134, 884, 152, 902)(92, 842, 153, 903, 155, 905)(95, 845, 159, 909, 157, 907)(96, 846, 99, 849, 162, 912)(97, 847, 163, 913, 156, 906)(101, 851, 104, 854, 169, 919)(102, 852, 170, 920, 123, 873)(106, 856, 176, 926, 174, 924)(110, 860, 181, 931, 179, 929)(112, 862, 185, 935, 183, 933)(113, 863, 187, 937, 116, 866)(117, 867, 184, 934, 193, 943)(118, 868, 194, 944, 196, 946)(121, 871, 199, 949, 200, 950)(124, 874, 203, 953, 127, 877)(128, 878, 158, 908, 209, 959)(130, 880, 211, 961, 213, 963)(136, 886, 220, 970, 218, 968)(137, 887, 221, 971, 223, 973)(140, 890, 227, 977, 225, 975)(141, 891, 143, 893, 230, 980)(142, 892, 231, 981, 224, 974)(145, 895, 236, 986, 234, 984)(146, 896, 238, 988, 149, 899)(150, 900, 235, 985, 244, 994)(151, 901, 245, 995, 247, 997)(154, 904, 250, 1000, 252, 1002)(160, 910, 259, 1009, 257, 1007)(161, 911, 260, 1010, 262, 1012)(164, 914, 266, 1016, 264, 1014)(165, 915, 167, 917, 269, 1019)(166, 916, 270, 1020, 263, 1013)(168, 918, 273, 1023, 275, 1025)(171, 921, 279, 1029, 277, 1027)(172, 922, 175, 925, 282, 1032)(173, 923, 283, 1033, 276, 1026)(177, 927, 180, 930, 289, 1039)(178, 928, 290, 1040, 197, 947)(182, 932, 296, 1046, 294, 1044)(186, 936, 301, 1051, 299, 1049)(188, 938, 305, 1055, 303, 1053)(189, 939, 307, 1057, 190, 940)(191, 941, 304, 1054, 311, 1061)(192, 942, 312, 1062, 314, 1064)(195, 945, 317, 1067, 318, 1068)(198, 948, 321, 1071, 201, 951)(202, 952, 278, 1028, 327, 1077)(204, 954, 330, 1080, 328, 1078)(205, 955, 332, 1082, 206, 956)(207, 957, 329, 1079, 336, 1086)(208, 958, 337, 1087, 339, 1089)(210, 960, 341, 1091, 214, 964)(212, 962, 344, 1094, 345, 1095)(215, 965, 226, 976, 349, 1099)(216, 966, 219, 969, 351, 1101)(217, 967, 352, 1102, 248, 998)(222, 972, 358, 1108, 360, 1110)(228, 978, 367, 1117, 365, 1115)(229, 979, 368, 1118, 370, 1120)(232, 982, 374, 1124, 372, 1122)(233, 983, 376, 1126, 371, 1121)(237, 987, 382, 1132, 380, 1130)(239, 989, 386, 1136, 384, 1134)(240, 990, 388, 1138, 241, 991)(242, 992, 385, 1135, 392, 1142)(243, 993, 393, 1143, 395, 1145)(246, 996, 398, 1148, 399, 1149)(249, 999, 402, 1152, 253, 1003)(251, 1001, 405, 1155, 406, 1156)(254, 1004, 265, 1015, 410, 1160)(255, 1005, 258, 1008, 412, 1162)(256, 1006, 413, 1163, 340, 1090)(261, 1011, 419, 1169, 421, 1171)(267, 1017, 428, 1178, 426, 1176)(268, 1018, 429, 1179, 431, 1181)(271, 1021, 435, 1185, 433, 1183)(272, 1022, 437, 1187, 432, 1182)(274, 1024, 440, 1190, 442, 1192)(280, 1030, 449, 1199, 447, 1197)(281, 1031, 450, 1200, 452, 1202)(284, 1034, 456, 1206, 454, 1204)(285, 1035, 287, 1037, 459, 1209)(286, 1036, 460, 1210, 453, 1203)(288, 1038, 463, 1213, 465, 1215)(291, 1041, 423, 1173, 434, 1184)(292, 1042, 295, 1045, 468, 1218)(293, 1043, 424, 1174, 427, 1177)(297, 1047, 300, 1050, 474, 1224)(298, 1048, 409, 1159, 315, 1065)(302, 1052, 479, 1229, 389, 1139)(306, 1056, 482, 1232, 387, 1137)(308, 1058, 486, 1236, 484, 1234)(309, 1059, 485, 1235, 420, 1170)(310, 1060, 488, 1238, 490, 1240)(313, 1063, 493, 1243, 494, 1244)(316, 1066, 408, 1158, 319, 1069)(320, 1070, 401, 1151, 499, 1249)(322, 1072, 501, 1251, 500, 1250)(323, 1073, 503, 1253, 324, 1074)(325, 1075, 400, 1150, 397, 1147)(326, 1076, 396, 1146, 379, 1129)(331, 1081, 487, 1237, 510, 1260)(333, 1083, 483, 1233, 512, 1262)(334, 1084, 513, 1263, 515, 1265)(335, 1085, 516, 1266, 518, 1268)(338, 1088, 521, 1271, 522, 1272)(342, 1092, 525, 1275, 524, 1274)(343, 1093, 527, 1277, 346, 1096)(347, 1097, 523, 1273, 520, 1270)(348, 1098, 519, 1269, 509, 1259)(350, 1100, 531, 1281, 532, 1282)(353, 1103, 444, 1194, 455, 1205)(354, 1104, 356, 1106, 534, 1284)(355, 1105, 445, 1195, 448, 1198)(357, 1107, 537, 1287, 361, 1111)(359, 1109, 458, 1208, 539, 1289)(362, 1112, 373, 1123, 414, 1164)(363, 1113, 366, 1116, 416, 1166)(364, 1114, 425, 1175, 446, 1196)(369, 1119, 451, 1201, 430, 1180)(375, 1125, 548, 1298, 546, 1296)(377, 1127, 549, 1299, 502, 1252)(378, 1128, 381, 1131, 552, 1302)(383, 1133, 557, 1307, 462, 1212)(390, 1140, 560, 1310, 441, 1191)(391, 1141, 561, 1311, 563, 1313)(394, 1144, 566, 1316, 480, 1230)(403, 1153, 572, 1322, 571, 1321)(404, 1154, 574, 1324, 407, 1157)(411, 1161, 577, 1327, 578, 1328)(415, 1165, 417, 1167, 580, 1330)(418, 1168, 583, 1333, 422, 1172)(436, 1186, 592, 1342, 590, 1340)(438, 1188, 593, 1343, 526, 1276)(439, 1189, 595, 1345, 443, 1193)(457, 1207, 544, 1294, 604, 1354)(461, 1211, 606, 1356, 573, 1323)(464, 1214, 609, 1359, 514, 1264)(466, 1216, 611, 1361, 586, 1336)(467, 1217, 612, 1362, 540, 1290)(469, 1219, 567, 1317, 565, 1315)(470, 1220, 472, 1222, 528, 1278)(471, 1221, 614, 1364, 613, 1363)(473, 1223, 616, 1366, 584, 1334)(475, 1225, 602, 1352, 576, 1326)(476, 1226, 478, 1228, 619, 1369)(477, 1227, 603, 1353, 605, 1355)(481, 1231, 598, 1348, 491, 1241)(489, 1239, 623, 1373, 624, 1374)(492, 1242, 581, 1331, 495, 1245)(496, 1246, 547, 1297, 555, 1305)(497, 1247, 627, 1377, 498, 1248)(504, 1254, 622, 1372, 632, 1382)(505, 1255, 633, 1383, 635, 1385)(506, 1256, 568, 1318, 591, 1341)(507, 1257, 553, 1303, 545, 1295)(508, 1258, 511, 1261, 637, 1387)(517, 1267, 640, 1390, 558, 1308)(529, 1279, 645, 1395, 646, 1396)(530, 1280, 638, 1388, 589, 1339)(533, 1283, 648, 1398, 585, 1335)(535, 1285, 641, 1391, 599, 1349)(536, 1286, 650, 1400, 649, 1399)(538, 1288, 636, 1386, 652, 1402)(541, 1291, 564, 1314, 559, 1309)(542, 1292, 543, 1293, 655, 1405)(550, 1300, 660, 1410, 628, 1378)(551, 1301, 661, 1411, 596, 1346)(554, 1304, 556, 1306, 664, 1414)(562, 1312, 667, 1417, 668, 1418)(569, 1319, 670, 1420, 570, 1320)(575, 1325, 673, 1423, 674, 1424)(579, 1329, 675, 1425, 597, 1347)(582, 1332, 677, 1427, 676, 1426)(587, 1337, 588, 1338, 680, 1430)(594, 1344, 684, 1434, 671, 1421)(600, 1350, 601, 1351, 688, 1438)(607, 1357, 693, 1443, 692, 1442)(608, 1358, 647, 1397, 610, 1360)(615, 1365, 662, 1412, 685, 1435)(617, 1367, 678, 1428, 634, 1384)(618, 1368, 696, 1446, 690, 1440)(620, 1370, 669, 1419, 683, 1433)(621, 1371, 695, 1445, 686, 1436)(625, 1375, 659, 1409, 626, 1376)(629, 1379, 700, 1450, 702, 1452)(630, 1380, 631, 1381, 644, 1394)(639, 1389, 687, 1437, 705, 1455)(642, 1392, 706, 1456, 643, 1393)(651, 1401, 703, 1453, 653, 1403)(654, 1404, 666, 1416, 709, 1459)(656, 1406, 711, 1461, 710, 1460)(657, 1407, 665, 1415, 691, 1441)(658, 1408, 663, 1413, 708, 1458)(672, 1422, 718, 1468, 719, 1469)(679, 1429, 694, 1444, 721, 1471)(681, 1431, 723, 1473, 722, 1472)(682, 1432, 704, 1454, 720, 1470)(689, 1439, 728, 1478, 727, 1477)(697, 1447, 726, 1476, 701, 1451)(698, 1448, 733, 1483, 731, 1481)(699, 1449, 715, 1465, 724, 1474)(707, 1457, 735, 1485, 734, 1484)(712, 1462, 716, 1466, 713, 1463)(714, 1464, 736, 1486, 738, 1488)(717, 1467, 739, 1489, 737, 1487)(725, 1475, 740, 1490, 742, 1492)(729, 1479, 732, 1482, 743, 1493)(730, 1480, 744, 1494, 741, 1491)(745, 1495, 747, 1497, 749, 1499)(746, 1496, 748, 1498, 750, 1500)(1501, 2251, 1503, 2253, 1509, 2259, 1519, 2269, 1537, 2287, 1567, 2317, 1548, 2298, 1526, 2276, 1513, 2263, 1505, 2255)(1502, 2252, 1506, 2256, 1514, 2264, 1527, 2277, 1550, 2300, 1588, 2338, 1558, 2308, 1532, 2282, 1516, 2266, 1507, 2257)(1504, 2254, 1511, 2261, 1522, 2272, 1541, 2291, 1574, 2324, 1606, 2356, 1562, 2312, 1534, 2284, 1517, 2267, 1508, 2258)(1510, 2260, 1521, 2271, 1540, 2290, 1571, 2321, 1621, 2371, 1682, 2432, 1610, 2360, 1564, 2314, 1535, 2285, 1518, 2268)(1512, 2262, 1523, 2273, 1543, 2293, 1577, 2327, 1630, 2380, 1712, 2462, 1636, 2386, 1580, 2330, 1544, 2294, 1524, 2274)(1515, 2265, 1529, 2279, 1553, 2303, 1592, 2342, 1654, 2404, 1751, 2501, 1660, 2410, 1595, 2345, 1554, 2304, 1530, 2280)(1520, 2270, 1539, 2289, 1570, 2320, 1618, 2368, 1695, 2445, 1802, 2552, 1686, 2436, 1612, 2362, 1565, 2315, 1536, 2286)(1525, 2275, 1545, 2295, 1581, 2331, 1637, 2387, 1722, 2472, 1859, 2609, 1728, 2478, 1640, 2390, 1582, 2332, 1546, 2296)(1528, 2278, 1552, 2302, 1591, 2341, 1651, 2401, 1746, 2496, 1883, 2633, 1737, 2487, 1645, 2395, 1586, 2336, 1549, 2299)(1531, 2281, 1555, 2305, 1596, 2346, 1661, 2411, 1761, 2511, 1920, 2670, 1767, 2517, 1664, 2414, 1597, 2347, 1556, 2306)(1533, 2283, 1559, 2309, 1601, 2351, 1668, 2418, 1774, 2524, 1941, 2691, 1780, 2530, 1671, 2421, 1602, 2352, 1560, 2310)(1538, 2288, 1569, 2319, 1617, 2367, 1692, 2442, 1813, 2563, 1983, 2733, 1806, 2556, 1688, 2438, 1613, 2363, 1566, 2316)(1542, 2292, 1576, 2326, 1628, 2378, 1708, 2458, 1838, 2588, 1986, 2736, 1831, 2581, 1704, 2454, 1624, 2374, 1573, 2323)(1547, 2297, 1583, 2333, 1641, 2391, 1729, 2479, 1869, 2619, 1931, 2681, 1875, 2625, 1732, 2482, 1642, 2392, 1584, 2334)(1551, 2301, 1590, 2340, 1650, 2400, 1743, 2493, 1894, 2644, 1805, 2555, 1887, 2637, 1739, 2489, 1646, 2396, 1587, 2337)(1557, 2307, 1598, 2348, 1665, 2415, 1768, 2518, 1930, 2680, 1952, 2702, 1936, 2686, 1771, 2521, 1666, 2416, 1599, 2349)(1561, 2311, 1603, 2353, 1672, 2422, 1781, 2531, 1951, 2701, 1870, 2620, 1957, 2707, 1784, 2534, 1673, 2423, 1604, 2354)(1563, 2313, 1607, 2357, 1677, 2427, 1788, 2538, 1964, 2714, 2015, 2765, 1966, 2716, 1791, 2541, 1678, 2428, 1608, 2358)(1568, 2318, 1616, 2366, 1691, 2441, 1810, 2560, 1989, 2739, 2122, 2872, 1987, 2737, 1808, 2558, 1689, 2439, 1614, 2364)(1572, 2322, 1623, 2373, 1702, 2452, 1826, 2576, 2007, 2757, 1876, 2626, 2002, 2752, 1822, 2572, 1698, 2448, 1620, 2370)(1575, 2325, 1627, 2377, 1707, 2457, 1835, 2585, 2017, 2767, 1886, 2636, 1982, 2732, 1833, 2583, 1705, 2455, 1625, 2375)(1578, 2328, 1632, 2382, 1715, 2465, 1848, 2598, 2030, 2780, 1937, 2687, 2026, 2776, 1842, 2592, 1710, 2460, 1629, 2379)(1579, 2329, 1633, 2383, 1716, 2466, 1850, 2600, 1988, 2738, 1811, 2561, 1991, 2741, 1853, 2603, 1717, 2467, 1634, 2384)(1585, 2335, 1615, 2365, 1690, 2440, 1809, 2559, 1921, 2671, 2085, 2835, 2050, 2800, 1877, 2627, 1733, 2483, 1643, 2393)(1589, 2339, 1649, 2399, 1742, 2492, 1891, 2641, 2062, 2812, 1978, 2728, 1801, 2551, 1889, 2639, 1740, 2490, 1647, 2397)(1593, 2343, 1656, 2406, 1754, 2504, 1909, 2659, 2076, 2826, 1960, 2710, 2073, 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2426)(1631, 2381, 1714, 2464, 1847, 2597, 1977, 2727, 1800, 2550, 1685, 2435, 1799, 2549, 1976, 2726, 1843, 2593, 1711, 2461)(1635, 2385, 1718, 2468, 1854, 2604, 2033, 2783, 1919, 2669, 1762, 2512, 1922, 2672, 2035, 2785, 1855, 2605, 1719, 2469)(1638, 2388, 1724, 2474, 1862, 2612, 2041, 2791, 2154, 2904, 2150, 2900, 2153, 2903, 2038, 2788, 1857, 2607, 1721, 2471)(1639, 2389, 1725, 2475, 1863, 2613, 1992, 2742, 1812, 2562, 1693, 2443, 1815, 2565, 1910, 2660, 1864, 2614, 1726, 2476)(1644, 2394, 1734, 2484, 1878, 2628, 2051, 2801, 2162, 2912, 2146, 2896, 2163, 2913, 2053, 2803, 1879, 2629, 1735, 2485)(1652, 2402, 1748, 2498, 1901, 2651, 1790, 2540, 1934, 2684, 1770, 2520, 1933, 2683, 2068, 2818, 1897, 2647, 1745, 2495)(1655, 2405, 1753, 2503, 1908, 2658, 2055, 2805, 1881, 2631, 1736, 2486, 1880, 2630, 2054, 2804, 1904, 2654, 1750, 2500)(1659, 2409, 1757, 2507, 1915, 2665, 2079, 2829, 1940, 2690, 1775, 2525, 1943, 2693, 2081, 2831, 1916, 2666, 1758, 2508)(1662, 2412, 1763, 2513, 1923, 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2924, 2204, 2954, 2138, 2888, 2009, 2759, 1829, 2579)(1709, 2459, 1840, 2590, 1999, 2749, 1852, 2602, 1955, 2705, 1783, 2533, 1954, 2704, 2103, 2853, 2020, 2770, 1837, 2587)(1720, 2470, 1845, 2595, 2028, 2778, 1905, 2655, 1752, 2502, 1907, 2657, 2075, 2825, 2151, 2901, 2036, 2786, 1856, 2606)(1727, 2477, 1865, 2615, 2042, 2792, 2123, 2873, 1990, 2740, 2032, 2782, 2147, 2897, 2077, 2827, 1912, 2662, 1866, 2616)(1730, 2480, 1871, 2621, 2045, 2795, 2158, 2908, 2214, 2964, 2211, 2961, 2213, 2963, 2157, 2907, 2044, 2794, 1868, 2618)(1738, 2488, 1884, 2634, 2058, 2808, 2165, 2915, 2216, 2966, 2219, 2969, 2217, 2967, 2166, 2916, 2059, 2809, 1885, 2635)(1747, 2497, 1900, 2650, 1821, 2571, 2000, 2750, 2130, 2880, 2025, 2775, 2093, 2843, 2171, 2921, 2069, 2819, 1898, 2648)(1766, 2516, 1926, 2676, 2087, 2837, 2167, 2917, 2063, 2813, 2078, 2828, 2108, 2858, 1963, 2713, 1789, 2539, 1927, 2677)(1769, 2519, 1932, 2682, 2089, 2839, 2182, 2932, 2225, 2975, 2223, 2973, 2215, 2965, 2159, 2909, 2048, 2798, 1929, 2679)(1779, 2529, 1947, 2697, 2100, 2850, 2187, 2937, 2109, 2859, 1965, 2715, 2110, 2860, 2031, 2781, 1851, 2601, 1948, 2698)(1782, 2532, 1953, 2703, 2102, 2852, 2190, 2940, 2229, 2979, 2228, 2978, 2226, 2976, 2183, 2933, 2092, 2842, 1950, 2700)(1807, 2557, 1984, 2734, 2022, 2772, 2143, 2893, 2207, 2957, 2224, 2974, 2181, 2931, 2088, 2838, 1928, 2678, 1985, 2735)(1814, 2564, 1995, 2745, 2095, 2845, 2161, 2911, 2052, 2802, 2047, 2797, 1874, 2624, 2046, 2796, 2125, 2875, 1993, 2743)(1818, 2568, 1998, 2748, 2129, 2879, 2201, 2951, 2189, 2939, 2101, 2851, 1949, 2699, 2060, 2810, 1888, 2638, 1979, 2729)(1832, 2582, 2012, 2762, 1994, 2744, 2126, 2876, 2199, 2949, 2234, 2984, 2230, 2980, 2194, 2944, 2111, 2861, 2013, 2763)(1839, 2589, 2023, 2773, 1841, 2591, 2024, 2774, 2144, 2894, 2072, 2822, 2106, 2856, 2192, 2942, 2142, 2892, 2021, 2771)(1867, 2617, 2039, 2789, 1959, 2709, 2057, 2807, 1899, 2649, 2070, 2820, 2172, 2922, 2212, 2962, 2156, 2906, 2043, 2793)(1895, 2645, 2067, 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	L = (1, 1503)(2, 1506)(3, 1509)(4, 1511)(5, 1501)(6, 1514)(7, 1502)(8, 1504)(9, 1519)(10, 1521)(11, 1522)(12, 1523)(13, 1505)(14, 1527)(15, 1529)(16, 1507)(17, 1508)(18, 1510)(19, 1537)(20, 1539)(21, 1540)(22, 1541)(23, 1543)(24, 1512)(25, 1545)(26, 1513)(27, 1550)(28, 1552)(29, 1553)(30, 1515)(31, 1555)(32, 1516)(33, 1559)(34, 1517)(35, 1518)(36, 1520)(37, 1567)(38, 1569)(39, 1570)(40, 1571)(41, 1574)(42, 1576)(43, 1577)(44, 1524)(45, 1581)(46, 1525)(47, 1583)(48, 1526)(49, 1528)(50, 1588)(51, 1590)(52, 1591)(53, 1592)(54, 1530)(55, 1596)(56, 1531)(57, 1598)(58, 1532)(59, 1601)(60, 1533)(61, 1603)(62, 1534)(63, 1607)(64, 1535)(65, 1536)(66, 1538)(67, 1548)(68, 1616)(69, 1617)(70, 1618)(71, 1621)(72, 1623)(73, 1542)(74, 1606)(75, 1627)(76, 1628)(77, 1630)(78, 1632)(79, 1633)(80, 1544)(81, 1637)(82, 1546)(83, 1641)(84, 1547)(85, 1615)(86, 1549)(87, 1551)(88, 1558)(89, 1649)(90, 1650)(91, 1651)(92, 1654)(93, 1656)(94, 1657)(95, 1554)(96, 1661)(97, 1556)(98, 1665)(99, 1557)(100, 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2247)(738, 2246)(739, 2218)(740, 2220)(741, 2249)(742, 2248)(743, 2250)(744, 2235)(745, 2244)(746, 2232)(747, 2233)(748, 2236)(749, 2239)(750, 2240)(751, 2251)(752, 2252)(753, 2253)(754, 2254)(755, 2255)(756, 2256)(757, 2257)(758, 2258)(759, 2259)(760, 2260)(761, 2261)(762, 2262)(763, 2263)(764, 2264)(765, 2265)(766, 2266)(767, 2267)(768, 2268)(769, 2269)(770, 2270)(771, 2271)(772, 2272)(773, 2273)(774, 2274)(775, 2275)(776, 2276)(777, 2277)(778, 2278)(779, 2279)(780, 2280)(781, 2281)(782, 2282)(783, 2283)(784, 2284)(785, 2285)(786, 2286)(787, 2287)(788, 2288)(789, 2289)(790, 2290)(791, 2291)(792, 2292)(793, 2293)(794, 2294)(795, 2295)(796, 2296)(797, 2297)(798, 2298)(799, 2299)(800, 2300)(801, 2301)(802, 2302)(803, 2303)(804, 2304)(805, 2305)(806, 2306)(807, 2307)(808, 2308)(809, 2309)(810, 2310)(811, 2311)(812, 2312)(813, 2313)(814, 2314)(815, 2315)(816, 2316)(817, 2317)(818, 2318)(819, 2319)(820, 2320)(821, 2321)(822, 2322)(823, 2323)(824, 2324)(825, 2325)(826, 2326)(827, 2327)(828, 2328)(829, 2329)(830, 2330)(831, 2331)(832, 2332)(833, 2333)(834, 2334)(835, 2335)(836, 2336)(837, 2337)(838, 2338)(839, 2339)(840, 2340)(841, 2341)(842, 2342)(843, 2343)(844, 2344)(845, 2345)(846, 2346)(847, 2347)(848, 2348)(849, 2349)(850, 2350)(851, 2351)(852, 2352)(853, 2353)(854, 2354)(855, 2355)(856, 2356)(857, 2357)(858, 2358)(859, 2359)(860, 2360)(861, 2361)(862, 2362)(863, 2363)(864, 2364)(865, 2365)(866, 2366)(867, 2367)(868, 2368)(869, 2369)(870, 2370)(871, 2371)(872, 2372)(873, 2373)(874, 2374)(875, 2375)(876, 2376)(877, 2377)(878, 2378)(879, 2379)(880, 2380)(881, 2381)(882, 2382)(883, 2383)(884, 2384)(885, 2385)(886, 2386)(887, 2387)(888, 2388)(889, 2389)(890, 2390)(891, 2391)(892, 2392)(893, 2393)(894, 2394)(895, 2395)(896, 2396)(897, 2397)(898, 2398)(899, 2399)(900, 2400)(901, 2401)(902, 2402)(903, 2403)(904, 2404)(905, 2405)(906, 2406)(907, 2407)(908, 2408)(909, 2409)(910, 2410)(911, 2411)(912, 2412)(913, 2413)(914, 2414)(915, 2415)(916, 2416)(917, 2417)(918, 2418)(919, 2419)(920, 2420)(921, 2421)(922, 2422)(923, 2423)(924, 2424)(925, 2425)(926, 2426)(927, 2427)(928, 2428)(929, 2429)(930, 2430)(931, 2431)(932, 2432)(933, 2433)(934, 2434)(935, 2435)(936, 2436)(937, 2437)(938, 2438)(939, 2439)(940, 2440)(941, 2441)(942, 2442)(943, 2443)(944, 2444)(945, 2445)(946, 2446)(947, 2447)(948, 2448)(949, 2449)(950, 2450)(951, 2451)(952, 2452)(953, 2453)(954, 2454)(955, 2455)(956, 2456)(957, 2457)(958, 2458)(959, 2459)(960, 2460)(961, 2461)(962, 2462)(963, 2463)(964, 2464)(965, 2465)(966, 2466)(967, 2467)(968, 2468)(969, 2469)(970, 2470)(971, 2471)(972, 2472)(973, 2473)(974, 2474)(975, 2475)(976, 2476)(977, 2477)(978, 2478)(979, 2479)(980, 2480)(981, 2481)(982, 2482)(983, 2483)(984, 2484)(985, 2485)(986, 2486)(987, 2487)(988, 2488)(989, 2489)(990, 2490)(991, 2491)(992, 2492)(993, 2493)(994, 2494)(995, 2495)(996, 2496)(997, 2497)(998, 2498)(999, 2499)(1000, 2500)(1001, 2501)(1002, 2502)(1003, 2503)(1004, 2504)(1005, 2505)(1006, 2506)(1007, 2507)(1008, 2508)(1009, 2509)(1010, 2510)(1011, 2511)(1012, 2512)(1013, 2513)(1014, 2514)(1015, 2515)(1016, 2516)(1017, 2517)(1018, 2518)(1019, 2519)(1020, 2520)(1021, 2521)(1022, 2522)(1023, 2523)(1024, 2524)(1025, 2525)(1026, 2526)(1027, 2527)(1028, 2528)(1029, 2529)(1030, 2530)(1031, 2531)(1032, 2532)(1033, 2533)(1034, 2534)(1035, 2535)(1036, 2536)(1037, 2537)(1038, 2538)(1039, 2539)(1040, 2540)(1041, 2541)(1042, 2542)(1043, 2543)(1044, 2544)(1045, 2545)(1046, 2546)(1047, 2547)(1048, 2548)(1049, 2549)(1050, 2550)(1051, 2551)(1052, 2552)(1053, 2553)(1054, 2554)(1055, 2555)(1056, 2556)(1057, 2557)(1058, 2558)(1059, 2559)(1060, 2560)(1061, 2561)(1062, 2562)(1063, 2563)(1064, 2564)(1065, 2565)(1066, 2566)(1067, 2567)(1068, 2568)(1069, 2569)(1070, 2570)(1071, 2571)(1072, 2572)(1073, 2573)(1074, 2574)(1075, 2575)(1076, 2576)(1077, 2577)(1078, 2578)(1079, 2579)(1080, 2580)(1081, 2581)(1082, 2582)(1083, 2583)(1084, 2584)(1085, 2585)(1086, 2586)(1087, 2587)(1088, 2588)(1089, 2589)(1090, 2590)(1091, 2591)(1092, 2592)(1093, 2593)(1094, 2594)(1095, 2595)(1096, 2596)(1097, 2597)(1098, 2598)(1099, 2599)(1100, 2600)(1101, 2601)(1102, 2602)(1103, 2603)(1104, 2604)(1105, 2605)(1106, 2606)(1107, 2607)(1108, 2608)(1109, 2609)(1110, 2610)(1111, 2611)(1112, 2612)(1113, 2613)(1114, 2614)(1115, 2615)(1116, 2616)(1117, 2617)(1118, 2618)(1119, 2619)(1120, 2620)(1121, 2621)(1122, 2622)(1123, 2623)(1124, 2624)(1125, 2625)(1126, 2626)(1127, 2627)(1128, 2628)(1129, 2629)(1130, 2630)(1131, 2631)(1132, 2632)(1133, 2633)(1134, 2634)(1135, 2635)(1136, 2636)(1137, 2637)(1138, 2638)(1139, 2639)(1140, 2640)(1141, 2641)(1142, 2642)(1143, 2643)(1144, 2644)(1145, 2645)(1146, 2646)(1147, 2647)(1148, 2648)(1149, 2649)(1150, 2650)(1151, 2651)(1152, 2652)(1153, 2653)(1154, 2654)(1155, 2655)(1156, 2656)(1157, 2657)(1158, 2658)(1159, 2659)(1160, 2660)(1161, 2661)(1162, 2662)(1163, 2663)(1164, 2664)(1165, 2665)(1166, 2666)(1167, 2667)(1168, 2668)(1169, 2669)(1170, 2670)(1171, 2671)(1172, 2672)(1173, 2673)(1174, 2674)(1175, 2675)(1176, 2676)(1177, 2677)(1178, 2678)(1179, 2679)(1180, 2680)(1181, 2681)(1182, 2682)(1183, 2683)(1184, 2684)(1185, 2685)(1186, 2686)(1187, 2687)(1188, 2688)(1189, 2689)(1190, 2690)(1191, 2691)(1192, 2692)(1193, 2693)(1194, 2694)(1195, 2695)(1196, 2696)(1197, 2697)(1198, 2698)(1199, 2699)(1200, 2700)(1201, 2701)(1202, 2702)(1203, 2703)(1204, 2704)(1205, 2705)(1206, 2706)(1207, 2707)(1208, 2708)(1209, 2709)(1210, 2710)(1211, 2711)(1212, 2712)(1213, 2713)(1214, 2714)(1215, 2715)(1216, 2716)(1217, 2717)(1218, 2718)(1219, 2719)(1220, 2720)(1221, 2721)(1222, 2722)(1223, 2723)(1224, 2724)(1225, 2725)(1226, 2726)(1227, 2727)(1228, 2728)(1229, 2729)(1230, 2730)(1231, 2731)(1232, 2732)(1233, 2733)(1234, 2734)(1235, 2735)(1236, 2736)(1237, 2737)(1238, 2738)(1239, 2739)(1240, 2740)(1241, 2741)(1242, 2742)(1243, 2743)(1244, 2744)(1245, 2745)(1246, 2746)(1247, 2747)(1248, 2748)(1249, 2749)(1250, 2750)(1251, 2751)(1252, 2752)(1253, 2753)(1254, 2754)(1255, 2755)(1256, 2756)(1257, 2757)(1258, 2758)(1259, 2759)(1260, 2760)(1261, 2761)(1262, 2762)(1263, 2763)(1264, 2764)(1265, 2765)(1266, 2766)(1267, 2767)(1268, 2768)(1269, 2769)(1270, 2770)(1271, 2771)(1272, 2772)(1273, 2773)(1274, 2774)(1275, 2775)(1276, 2776)(1277, 2777)(1278, 2778)(1279, 2779)(1280, 2780)(1281, 2781)(1282, 2782)(1283, 2783)(1284, 2784)(1285, 2785)(1286, 2786)(1287, 2787)(1288, 2788)(1289, 2789)(1290, 2790)(1291, 2791)(1292, 2792)(1293, 2793)(1294, 2794)(1295, 2795)(1296, 2796)(1297, 2797)(1298, 2798)(1299, 2799)(1300, 2800)(1301, 2801)(1302, 2802)(1303, 2803)(1304, 2804)(1305, 2805)(1306, 2806)(1307, 2807)(1308, 2808)(1309, 2809)(1310, 2810)(1311, 2811)(1312, 2812)(1313, 2813)(1314, 2814)(1315, 2815)(1316, 2816)(1317, 2817)(1318, 2818)(1319, 2819)(1320, 2820)(1321, 2821)(1322, 2822)(1323, 2823)(1324, 2824)(1325, 2825)(1326, 2826)(1327, 2827)(1328, 2828)(1329, 2829)(1330, 2830)(1331, 2831)(1332, 2832)(1333, 2833)(1334, 2834)(1335, 2835)(1336, 2836)(1337, 2837)(1338, 2838)(1339, 2839)(1340, 2840)(1341, 2841)(1342, 2842)(1343, 2843)(1344, 2844)(1345, 2845)(1346, 2846)(1347, 2847)(1348, 2848)(1349, 2849)(1350, 2850)(1351, 2851)(1352, 2852)(1353, 2853)(1354, 2854)(1355, 2855)(1356, 2856)(1357, 2857)(1358, 2858)(1359, 2859)(1360, 2860)(1361, 2861)(1362, 2862)(1363, 2863)(1364, 2864)(1365, 2865)(1366, 2866)(1367, 2867)(1368, 2868)(1369, 2869)(1370, 2870)(1371, 2871)(1372, 2872)(1373, 2873)(1374, 2874)(1375, 2875)(1376, 2876)(1377, 2877)(1378, 2878)(1379, 2879)(1380, 2880)(1381, 2881)(1382, 2882)(1383, 2883)(1384, 2884)(1385, 2885)(1386, 2886)(1387, 2887)(1388, 2888)(1389, 2889)(1390, 2890)(1391, 2891)(1392, 2892)(1393, 2893)(1394, 2894)(1395, 2895)(1396, 2896)(1397, 2897)(1398, 2898)(1399, 2899)(1400, 2900)(1401, 2901)(1402, 2902)(1403, 2903)(1404, 2904)(1405, 2905)(1406, 2906)(1407, 2907)(1408, 2908)(1409, 2909)(1410, 2910)(1411, 2911)(1412, 2912)(1413, 2913)(1414, 2914)(1415, 2915)(1416, 2916)(1417, 2917)(1418, 2918)(1419, 2919)(1420, 2920)(1421, 2921)(1422, 2922)(1423, 2923)(1424, 2924)(1425, 2925)(1426, 2926)(1427, 2927)(1428, 2928)(1429, 2929)(1430, 2930)(1431, 2931)(1432, 2932)(1433, 2933)(1434, 2934)(1435, 2935)(1436, 2936)(1437, 2937)(1438, 2938)(1439, 2939)(1440, 2940)(1441, 2941)(1442, 2942)(1443, 2943)(1444, 2944)(1445, 2945)(1446, 2946)(1447, 2947)(1448, 2948)(1449, 2949)(1450, 2950)(1451, 2951)(1452, 2952)(1453, 2953)(1454, 2954)(1455, 2955)(1456, 2956)(1457, 2957)(1458, 2958)(1459, 2959)(1460, 2960)(1461, 2961)(1462, 2962)(1463, 2963)(1464, 2964)(1465, 2965)(1466, 2966)(1467, 2967)(1468, 2968)(1469, 2969)(1470, 2970)(1471, 2971)(1472, 2972)(1473, 2973)(1474, 2974)(1475, 2975)(1476, 2976)(1477, 2977)(1478, 2978)(1479, 2979)(1480, 2980)(1481, 2981)(1482, 2982)(1483, 2983)(1484, 2984)(1485, 2985)(1486, 2986)(1487, 2987)(1488, 2988)(1489, 2989)(1490, 2990)(1491, 2991)(1492, 2992)(1493, 2993)(1494, 2994)(1495, 2995)(1496, 2996)(1497, 2997)(1498, 2998)(1499, 2999)(1500, 3000)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1554
Graph:: bipartite
	v = 325 e = 1500 f = 1125
	degree seq :: [ 6^250, 20^75 ]

E26.1554 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 10})
Quotient :: dipole
Aut^+ = $<750, 5>$ (small group id <750, 5>)
Aut   = $<1500, 37>$ (small group id <1500, 37>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^3, Y3^10, (Y3^2 * Y2 * Y3^-4 * Y2 * Y3)^2, (Y3^-1 * Y1^-1)^10, 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 * Y2 * Y3^-2 * Y2 * Y3^2 * Y2 * Y3^-3 * Y2 * Y3^-3 * Y2 * Y3^2 * Y2 * Y3^-2 * Y2 ]
Map:: polytopal
	R = (1, 751)(2, 752)(3, 753)(4, 754)(5, 755)(6, 756)(7, 757)(8, 758)(9, 759)(10, 760)(11, 761)(12, 762)(13, 763)(14, 764)(15, 765)(16, 766)(17, 767)(18, 768)(19, 769)(20, 770)(21, 771)(22, 772)(23, 773)(24, 774)(25, 775)(26, 776)(27, 777)(28, 778)(29, 779)(30, 780)(31, 781)(32, 782)(33, 783)(34, 784)(35, 785)(36, 786)(37, 787)(38, 788)(39, 789)(40, 790)(41, 791)(42, 792)(43, 793)(44, 794)(45, 795)(46, 796)(47, 797)(48, 798)(49, 799)(50, 800)(51, 801)(52, 802)(53, 803)(54, 804)(55, 805)(56, 806)(57, 807)(58, 808)(59, 809)(60, 810)(61, 811)(62, 812)(63, 813)(64, 814)(65, 815)(66, 816)(67, 817)(68, 818)(69, 819)(70, 820)(71, 821)(72, 822)(73, 823)(74, 824)(75, 825)(76, 826)(77, 827)(78, 828)(79, 829)(80, 830)(81, 831)(82, 832)(83, 833)(84, 834)(85, 835)(86, 836)(87, 837)(88, 838)(89, 839)(90, 840)(91, 841)(92, 842)(93, 843)(94, 844)(95, 845)(96, 846)(97, 847)(98, 848)(99, 849)(100, 850)(101, 851)(102, 852)(103, 853)(104, 854)(105, 855)(106, 856)(107, 857)(108, 858)(109, 859)(110, 860)(111, 861)(112, 862)(113, 863)(114, 864)(115, 865)(116, 866)(117, 867)(118, 868)(119, 869)(120, 870)(121, 871)(122, 872)(123, 873)(124, 874)(125, 875)(126, 876)(127, 877)(128, 878)(129, 879)(130, 880)(131, 881)(132, 882)(133, 883)(134, 884)(135, 885)(136, 886)(137, 887)(138, 888)(139, 889)(140, 890)(141, 891)(142, 892)(143, 893)(144, 894)(145, 895)(146, 896)(147, 897)(148, 898)(149, 899)(150, 900)(151, 901)(152, 902)(153, 903)(154, 904)(155, 905)(156, 906)(157, 907)(158, 908)(159, 909)(160, 910)(161, 911)(162, 912)(163, 913)(164, 914)(165, 915)(166, 916)(167, 917)(168, 918)(169, 919)(170, 920)(171, 921)(172, 922)(173, 923)(174, 924)(175, 925)(176, 926)(177, 927)(178, 928)(179, 929)(180, 930)(181, 931)(182, 932)(183, 933)(184, 934)(185, 935)(186, 936)(187, 937)(188, 938)(189, 939)(190, 940)(191, 941)(192, 942)(193, 943)(194, 944)(195, 945)(196, 946)(197, 947)(198, 948)(199, 949)(200, 950)(201, 951)(202, 952)(203, 953)(204, 954)(205, 955)(206, 956)(207, 957)(208, 958)(209, 959)(210, 960)(211, 961)(212, 962)(213, 963)(214, 964)(215, 965)(216, 966)(217, 967)(218, 968)(219, 969)(220, 970)(221, 971)(222, 972)(223, 973)(224, 974)(225, 975)(226, 976)(227, 977)(228, 978)(229, 979)(230, 980)(231, 981)(232, 982)(233, 983)(234, 984)(235, 985)(236, 986)(237, 987)(238, 988)(239, 989)(240, 990)(241, 991)(242, 992)(243, 993)(244, 994)(245, 995)(246, 996)(247, 997)(248, 998)(249, 999)(250, 1000)(251, 1001)(252, 1002)(253, 1003)(254, 1004)(255, 1005)(256, 1006)(257, 1007)(258, 1008)(259, 1009)(260, 1010)(261, 1011)(262, 1012)(263, 1013)(264, 1014)(265, 1015)(266, 1016)(267, 1017)(268, 1018)(269, 1019)(270, 1020)(271, 1021)(272, 1022)(273, 1023)(274, 1024)(275, 1025)(276, 1026)(277, 1027)(278, 1028)(279, 1029)(280, 1030)(281, 1031)(282, 1032)(283, 1033)(284, 1034)(285, 1035)(286, 1036)(287, 1037)(288, 1038)(289, 1039)(290, 1040)(291, 1041)(292, 1042)(293, 1043)(294, 1044)(295, 1045)(296, 1046)(297, 1047)(298, 1048)(299, 1049)(300, 1050)(301, 1051)(302, 1052)(303, 1053)(304, 1054)(305, 1055)(306, 1056)(307, 1057)(308, 1058)(309, 1059)(310, 1060)(311, 1061)(312, 1062)(313, 1063)(314, 1064)(315, 1065)(316, 1066)(317, 1067)(318, 1068)(319, 1069)(320, 1070)(321, 1071)(322, 1072)(323, 1073)(324, 1074)(325, 1075)(326, 1076)(327, 1077)(328, 1078)(329, 1079)(330, 1080)(331, 1081)(332, 1082)(333, 1083)(334, 1084)(335, 1085)(336, 1086)(337, 1087)(338, 1088)(339, 1089)(340, 1090)(341, 1091)(342, 1092)(343, 1093)(344, 1094)(345, 1095)(346, 1096)(347, 1097)(348, 1098)(349, 1099)(350, 1100)(351, 1101)(352, 1102)(353, 1103)(354, 1104)(355, 1105)(356, 1106)(357, 1107)(358, 1108)(359, 1109)(360, 1110)(361, 1111)(362, 1112)(363, 1113)(364, 1114)(365, 1115)(366, 1116)(367, 1117)(368, 1118)(369, 1119)(370, 1120)(371, 1121)(372, 1122)(373, 1123)(374, 1124)(375, 1125)(376, 1126)(377, 1127)(378, 1128)(379, 1129)(380, 1130)(381, 1131)(382, 1132)(383, 1133)(384, 1134)(385, 1135)(386, 1136)(387, 1137)(388, 1138)(389, 1139)(390, 1140)(391, 1141)(392, 1142)(393, 1143)(394, 1144)(395, 1145)(396, 1146)(397, 1147)(398, 1148)(399, 1149)(400, 1150)(401, 1151)(402, 1152)(403, 1153)(404, 1154)(405, 1155)(406, 1156)(407, 1157)(408, 1158)(409, 1159)(410, 1160)(411, 1161)(412, 1162)(413, 1163)(414, 1164)(415, 1165)(416, 1166)(417, 1167)(418, 1168)(419, 1169)(420, 1170)(421, 1171)(422, 1172)(423, 1173)(424, 1174)(425, 1175)(426, 1176)(427, 1177)(428, 1178)(429, 1179)(430, 1180)(431, 1181)(432, 1182)(433, 1183)(434, 1184)(435, 1185)(436, 1186)(437, 1187)(438, 1188)(439, 1189)(440, 1190)(441, 1191)(442, 1192)(443, 1193)(444, 1194)(445, 1195)(446, 1196)(447, 1197)(448, 1198)(449, 1199)(450, 1200)(451, 1201)(452, 1202)(453, 1203)(454, 1204)(455, 1205)(456, 1206)(457, 1207)(458, 1208)(459, 1209)(460, 1210)(461, 1211)(462, 1212)(463, 1213)(464, 1214)(465, 1215)(466, 1216)(467, 1217)(468, 1218)(469, 1219)(470, 1220)(471, 1221)(472, 1222)(473, 1223)(474, 1224)(475, 1225)(476, 1226)(477, 1227)(478, 1228)(479, 1229)(480, 1230)(481, 1231)(482, 1232)(483, 1233)(484, 1234)(485, 1235)(486, 1236)(487, 1237)(488, 1238)(489, 1239)(490, 1240)(491, 1241)(492, 1242)(493, 1243)(494, 1244)(495, 1245)(496, 1246)(497, 1247)(498, 1248)(499, 1249)(500, 1250)(501, 1251)(502, 1252)(503, 1253)(504, 1254)(505, 1255)(506, 1256)(507, 1257)(508, 1258)(509, 1259)(510, 1260)(511, 1261)(512, 1262)(513, 1263)(514, 1264)(515, 1265)(516, 1266)(517, 1267)(518, 1268)(519, 1269)(520, 1270)(521, 1271)(522, 1272)(523, 1273)(524, 1274)(525, 1275)(526, 1276)(527, 1277)(528, 1278)(529, 1279)(530, 1280)(531, 1281)(532, 1282)(533, 1283)(534, 1284)(535, 1285)(536, 1286)(537, 1287)(538, 1288)(539, 1289)(540, 1290)(541, 1291)(542, 1292)(543, 1293)(544, 1294)(545, 1295)(546, 1296)(547, 1297)(548, 1298)(549, 1299)(550, 1300)(551, 1301)(552, 1302)(553, 1303)(554, 1304)(555, 1305)(556, 1306)(557, 1307)(558, 1308)(559, 1309)(560, 1310)(561, 1311)(562, 1312)(563, 1313)(564, 1314)(565, 1315)(566, 1316)(567, 1317)(568, 1318)(569, 1319)(570, 1320)(571, 1321)(572, 1322)(573, 1323)(574, 1324)(575, 1325)(576, 1326)(577, 1327)(578, 1328)(579, 1329)(580, 1330)(581, 1331)(582, 1332)(583, 1333)(584, 1334)(585, 1335)(586, 1336)(587, 1337)(588, 1338)(589, 1339)(590, 1340)(591, 1341)(592, 1342)(593, 1343)(594, 1344)(595, 1345)(596, 1346)(597, 1347)(598, 1348)(599, 1349)(600, 1350)(601, 1351)(602, 1352)(603, 1353)(604, 1354)(605, 1355)(606, 1356)(607, 1357)(608, 1358)(609, 1359)(610, 1360)(611, 1361)(612, 1362)(613, 1363)(614, 1364)(615, 1365)(616, 1366)(617, 1367)(618, 1368)(619, 1369)(620, 1370)(621, 1371)(622, 1372)(623, 1373)(624, 1374)(625, 1375)(626, 1376)(627, 1377)(628, 1378)(629, 1379)(630, 1380)(631, 1381)(632, 1382)(633, 1383)(634, 1384)(635, 1385)(636, 1386)(637, 1387)(638, 1388)(639, 1389)(640, 1390)(641, 1391)(642, 1392)(643, 1393)(644, 1394)(645, 1395)(646, 1396)(647, 1397)(648, 1398)(649, 1399)(650, 1400)(651, 1401)(652, 1402)(653, 1403)(654, 1404)(655, 1405)(656, 1406)(657, 1407)(658, 1408)(659, 1409)(660, 1410)(661, 1411)(662, 1412)(663, 1413)(664, 1414)(665, 1415)(666, 1416)(667, 1417)(668, 1418)(669, 1419)(670, 1420)(671, 1421)(672, 1422)(673, 1423)(674, 1424)(675, 1425)(676, 1426)(677, 1427)(678, 1428)(679, 1429)(680, 1430)(681, 1431)(682, 1432)(683, 1433)(684, 1434)(685, 1435)(686, 1436)(687, 1437)(688, 1438)(689, 1439)(690, 1440)(691, 1441)(692, 1442)(693, 1443)(694, 1444)(695, 1445)(696, 1446)(697, 1447)(698, 1448)(699, 1449)(700, 1450)(701, 1451)(702, 1452)(703, 1453)(704, 1454)(705, 1455)(706, 1456)(707, 1457)(708, 1458)(709, 1459)(710, 1460)(711, 1461)(712, 1462)(713, 1463)(714, 1464)(715, 1465)(716, 1466)(717, 1467)(718, 1468)(719, 1469)(720, 1470)(721, 1471)(722, 1472)(723, 1473)(724, 1474)(725, 1475)(726, 1476)(727, 1477)(728, 1478)(729, 1479)(730, 1480)(731, 1481)(732, 1482)(733, 1483)(734, 1484)(735, 1485)(736, 1486)(737, 1487)(738, 1488)(739, 1489)(740, 1490)(741, 1491)(742, 1492)(743, 1493)(744, 1494)(745, 1495)(746, 1496)(747, 1497)(748, 1498)(749, 1499)(750, 1500)(1501, 2251, 1502, 2252)(1503, 2253, 1507, 2257)(1504, 2254, 1509, 2259)(1505, 2255, 1511, 2261)(1506, 2256, 1513, 2263)(1508, 2258, 1516, 2266)(1510, 2260, 1519, 2269)(1512, 2262, 1522, 2272)(1514, 2264, 1525, 2275)(1515, 2265, 1527, 2277)(1517, 2267, 1530, 2280)(1518, 2268, 1532, 2282)(1520, 2270, 1535, 2285)(1521, 2271, 1537, 2287)(1523, 2273, 1540, 2290)(1524, 2274, 1542, 2292)(1526, 2276, 1545, 2295)(1528, 2278, 1548, 2298)(1529, 2279, 1550, 2300)(1531, 2281, 1553, 2303)(1533, 2283, 1556, 2306)(1534, 2284, 1558, 2308)(1536, 2286, 1561, 2311)(1538, 2288, 1563, 2313)(1539, 2289, 1565, 2315)(1541, 2291, 1568, 2318)(1543, 2293, 1571, 2321)(1544, 2294, 1573, 2323)(1546, 2296, 1576, 2326)(1547, 2297, 1577, 2327)(1549, 2299, 1580, 2330)(1551, 2301, 1583, 2333)(1552, 2302, 1585, 2335)(1554, 2304, 1588, 2338)(1555, 2305, 1589, 2339)(1557, 2307, 1592, 2342)(1559, 2309, 1595, 2345)(1560, 2310, 1597, 2347)(1562, 2312, 1600, 2350)(1564, 2314, 1603, 2353)(1566, 2316, 1606, 2356)(1567, 2317, 1608, 2358)(1569, 2319, 1611, 2361)(1570, 2320, 1612, 2362)(1572, 2322, 1615, 2365)(1574, 2324, 1618, 2368)(1575, 2325, 1620, 2370)(1578, 2328, 1624, 2374)(1579, 2329, 1626, 2376)(1581, 2331, 1629, 2379)(1582, 2332, 1630, 2380)(1584, 2334, 1633, 2383)(1586, 2336, 1636, 2386)(1587, 2337, 1638, 2388)(1590, 2340, 1642, 2392)(1591, 2341, 1644, 2394)(1593, 2343, 1647, 2397)(1594, 2344, 1648, 2398)(1596, 2346, 1651, 2401)(1598, 2348, 1654, 2404)(1599, 2349, 1640, 2390)(1601, 2351, 1658, 2408)(1602, 2352, 1660, 2410)(1604, 2354, 1663, 2413)(1605, 2355, 1664, 2414)(1607, 2357, 1667, 2417)(1609, 2359, 1670, 2420)(1610, 2360, 1672, 2422)(1613, 2363, 1676, 2426)(1614, 2364, 1678, 2428)(1616, 2366, 1681, 2431)(1617, 2367, 1682, 2432)(1619, 2369, 1685, 2435)(1621, 2371, 1688, 2438)(1622, 2372, 1674, 2424)(1623, 2373, 1691, 2441)(1625, 2375, 1694, 2444)(1627, 2377, 1697, 2447)(1628, 2378, 1699, 2449)(1631, 2381, 1703, 2453)(1632, 2382, 1705, 2455)(1634, 2384, 1708, 2458)(1635, 2385, 1709, 2459)(1637, 2387, 1712, 2462)(1639, 2389, 1715, 2465)(1641, 2391, 1718, 2468)(1643, 2393, 1721, 2471)(1645, 2395, 1724, 2474)(1646, 2396, 1726, 2476)(1649, 2399, 1730, 2480)(1650, 2400, 1732, 2482)(1652, 2402, 1735, 2485)(1653, 2403, 1736, 2486)(1655, 2405, 1739, 2489)(1656, 2406, 1741, 2491)(1657, 2407, 1743, 2493)(1659, 2409, 1746, 2496)(1661, 2411, 1749, 2499)(1662, 2412, 1751, 2501)(1665, 2415, 1755, 2505)(1666, 2416, 1757, 2507)(1668, 2418, 1760, 2510)(1669, 2419, 1761, 2511)(1671, 2421, 1764, 2514)(1673, 2423, 1767, 2517)(1675, 2425, 1770, 2520)(1677, 2427, 1773, 2523)(1679, 2429, 1776, 2526)(1680, 2430, 1778, 2528)(1683, 2433, 1782, 2532)(1684, 2434, 1784, 2534)(1686, 2436, 1787, 2537)(1687, 2437, 1788, 2538)(1689, 2439, 1791, 2541)(1690, 2440, 1793, 2543)(1692, 2442, 1796, 2546)(1693, 2443, 1798, 2548)(1695, 2445, 1801, 2551)(1696, 2446, 1802, 2552)(1698, 2448, 1805, 2555)(1700, 2450, 1808, 2558)(1701, 2451, 1780, 2530)(1702, 2452, 1811, 2561)(1704, 2454, 1814, 2564)(1706, 2456, 1817, 2567)(1707, 2457, 1819, 2569)(1710, 2460, 1823, 2573)(1711, 2461, 1825, 2575)(1713, 2463, 1768, 2518)(1714, 2464, 1828, 2578)(1716, 2466, 1765, 2515)(1717, 2467, 1832, 2582)(1719, 2469, 1835, 2585)(1720, 2470, 1837, 2587)(1722, 2472, 1840, 2590)(1723, 2473, 1841, 2591)(1725, 2475, 1844, 2594)(1727, 2477, 1847, 2597)(1728, 2478, 1753, 2503)(1729, 2479, 1848, 2598)(1731, 2481, 1851, 2601)(1733, 2483, 1854, 2604)(1734, 2484, 1856, 2606)(1737, 2487, 1858, 2608)(1738, 2488, 1860, 2610)(1740, 2490, 1794, 2544)(1742, 2492, 1792, 2542)(1744, 2494, 1865, 2615)(1745, 2495, 1867, 2617)(1747, 2497, 1870, 2620)(1748, 2498, 1871, 2621)(1750, 2500, 1874, 2624)(1752, 2502, 1877, 2627)(1754, 2504, 1880, 2630)(1756, 2506, 1883, 2633)(1758, 2508, 1886, 2636)(1759, 2509, 1888, 2638)(1762, 2512, 1892, 2642)(1763, 2513, 1894, 2644)(1766, 2516, 1897, 2647)(1769, 2519, 1901, 2651)(1771, 2521, 1904, 2654)(1772, 2522, 1906, 2656)(1774, 2524, 1909, 2659)(1775, 2525, 1910, 2660)(1777, 2527, 1913, 2663)(1779, 2529, 1916, 2666)(1781, 2531, 1917, 2667)(1783, 2533, 1920, 2670)(1785, 2535, 1923, 2673)(1786, 2536, 1925, 2675)(1789, 2539, 1927, 2677)(1790, 2540, 1929, 2679)(1795, 2545, 1933, 2683)(1797, 2547, 1936, 2686)(1799, 2549, 1939, 2689)(1800, 2550, 1941, 2691)(1803, 2553, 1945, 2695)(1804, 2554, 1947, 2697)(1806, 2556, 1898, 2648)(1807, 2557, 1950, 2700)(1809, 2559, 1932, 2682)(1810, 2560, 1953, 2703)(1812, 2562, 1955, 2705)(1813, 2563, 1957, 2707)(1815, 2565, 1899, 2649)(1816, 2566, 1960, 2710)(1818, 2568, 1963, 2713)(1820, 2570, 1966, 2716)(1821, 2571, 1943, 2693)(1822, 2572, 1967, 2717)(1824, 2574, 1970, 2720)(1826, 2576, 1973, 2723)(1827, 2577, 1900, 2650)(1829, 2579, 1875, 2625)(1830, 2580, 1884, 2634)(1831, 2581, 1896, 2646)(1833, 2583, 1914, 2664)(1834, 2584, 1980, 2730)(1836, 2586, 1983, 2733)(1838, 2588, 1986, 2736)(1839, 2589, 1987, 2737)(1842, 2592, 1990, 2740)(1843, 2593, 1991, 2741)(1845, 2595, 1902, 2652)(1846, 2596, 1994, 2744)(1849, 2599, 1998, 2748)(1850, 2600, 2000, 2750)(1852, 2602, 1931, 2681)(1853, 2603, 2002, 2752)(1855, 2605, 2004, 2754)(1857, 2607, 2007, 2757)(1859, 2609, 2009, 2759)(1861, 2611, 2011, 2761)(1862, 2612, 1921, 2671)(1863, 2613, 1878, 2628)(1864, 2614, 2014, 2764)(1866, 2616, 2017, 2767)(1868, 2618, 2020, 2770)(1869, 2619, 2022, 2772)(1872, 2622, 2026, 2776)(1873, 2623, 2028, 2778)(1876, 2626, 2031, 2781)(1879, 2629, 2034, 2784)(1881, 2631, 2036, 2786)(1882, 2632, 2038, 2788)(1885, 2635, 2041, 2791)(1887, 2637, 2044, 2794)(1889, 2639, 2047, 2797)(1890, 2640, 2024, 2774)(1891, 2641, 2048, 2798)(1893, 2643, 2051, 2801)(1895, 2645, 2054, 2804)(1903, 2653, 2061, 2811)(1905, 2655, 2064, 2814)(1907, 2657, 2067, 2817)(1908, 2658, 2068, 2818)(1911, 2661, 2071, 2821)(1912, 2662, 2072, 2822)(1915, 2665, 2075, 2825)(1918, 2668, 2079, 2829)(1919, 2669, 2081, 2831)(1922, 2672, 2083, 2833)(1924, 2674, 2085, 2835)(1926, 2676, 2088, 2838)(1928, 2678, 2090, 2840)(1930, 2680, 2092, 2842)(1934, 2684, 2035, 2785)(1935, 2685, 2025, 2775)(1937, 2687, 2056, 2806)(1938, 2688, 2019, 2769)(1940, 2690, 2098, 2848)(1942, 2692, 2100, 2850)(1944, 2694, 2016, 2766)(1946, 2696, 2102, 2852)(1948, 2698, 2043, 2793)(1949, 2699, 2057, 2807)(1951, 2701, 2086, 2836)(1952, 2702, 2091, 2841)(1954, 2704, 2015, 2765)(1956, 2706, 2089, 2839)(1958, 2708, 2042, 2792)(1959, 2709, 2058, 2808)(1961, 2711, 2039, 2789)(1962, 2712, 2029, 2779)(1964, 2714, 2076, 2826)(1965, 2715, 2112, 2862)(1968, 2718, 2080, 2830)(1969, 2719, 2116, 2866)(1971, 2721, 2077, 2827)(1972, 2722, 2118, 2868)(1974, 2724, 2093, 2843)(1975, 2725, 2018, 2768)(1976, 2726, 2030, 2780)(1977, 2727, 2040, 2790)(1978, 2728, 2065, 2815)(1979, 2729, 2074, 2824)(1981, 2731, 2078, 2828)(1982, 2732, 2070, 2820)(1984, 2734, 2059, 2809)(1985, 2735, 2066, 2816)(1988, 2738, 2126, 2876)(1989, 2739, 2063, 2813)(1992, 2742, 2084, 2834)(1993, 2743, 2060, 2810)(1995, 2745, 2045, 2795)(1996, 2746, 2052, 2802)(1997, 2747, 2062, 2812)(1999, 2749, 2049, 2799)(2001, 2751, 2094, 2844)(2003, 2753, 2073, 2823)(2005, 2755, 2032, 2782)(2006, 2756, 2114, 2864)(2008, 2758, 2037, 2787)(2010, 2760, 2033, 2783)(2012, 2762, 2055, 2805)(2013, 2763, 2082, 2832)(2021, 2771, 2138, 2888)(2023, 2773, 2140, 2890)(2027, 2777, 2142, 2892)(2046, 2796, 2152, 2902)(2050, 2800, 2156, 2906)(2053, 2803, 2158, 2908)(2069, 2819, 2166, 2916)(2087, 2837, 2154, 2904)(2095, 2845, 2147, 2897)(2096, 2846, 2160, 2910)(2097, 2847, 2170, 2920)(2099, 2849, 2176, 2926)(2101, 2851, 2179, 2929)(2103, 2853, 2150, 2900)(2104, 2854, 2169, 2919)(2105, 2855, 2171, 2921)(2106, 2856, 2149, 2899)(2107, 2857, 2135, 2885)(2108, 2858, 2167, 2917)(2109, 2859, 2146, 2896)(2110, 2860, 2143, 2893)(2111, 2861, 2153, 2903)(2113, 2863, 2151, 2901)(2115, 2865, 2180, 2930)(2117, 2867, 2168, 2918)(2119, 2869, 2177, 2927)(2120, 2870, 2136, 2886)(2121, 2871, 2178, 2928)(2122, 2872, 2181, 2931)(2123, 2873, 2164, 2914)(2124, 2874, 2163, 2913)(2125, 2875, 2189, 2939)(2127, 2877, 2148, 2898)(2128, 2878, 2157, 2907)(2129, 2879, 2144, 2894)(2130, 2880, 2137, 2887)(2131, 2881, 2145, 2895)(2132, 2882, 2191, 2941)(2133, 2883, 2190, 2940)(2134, 2884, 2192, 2942)(2139, 2889, 2196, 2946)(2141, 2891, 2199, 2949)(2155, 2905, 2200, 2950)(2159, 2909, 2197, 2947)(2161, 2911, 2198, 2948)(2162, 2912, 2201, 2951)(2165, 2915, 2209, 2959)(2172, 2922, 2211, 2961)(2173, 2923, 2210, 2960)(2174, 2924, 2212, 2962)(2175, 2925, 2202, 2952)(2182, 2932, 2195, 2945)(2183, 2933, 2208, 2958)(2184, 2934, 2215, 2965)(2185, 2935, 2218, 2968)(2186, 2936, 2206, 2956)(2187, 2937, 2219, 2969)(2188, 2938, 2203, 2953)(2193, 2943, 2222, 2972)(2194, 2944, 2214, 2964)(2204, 2954, 2225, 2975)(2205, 2955, 2228, 2978)(2207, 2957, 2229, 2979)(2213, 2963, 2232, 2982)(2216, 2966, 2235, 2985)(2217, 2967, 2230, 2980)(2220, 2970, 2227, 2977)(2221, 2971, 2234, 2984)(2223, 2973, 2239, 2989)(2224, 2974, 2231, 2981)(2226, 2976, 2241, 2991)(2233, 2983, 2245, 2995)(2236, 2986, 2243, 2993)(2237, 2987, 2242, 2992)(2238, 2988, 2246, 2996)(2240, 2990, 2244, 2994)(2247, 2997, 2250, 3000)(2248, 2998, 2249, 2999)
	L = (1, 1503)(2, 1505)(3, 1508)(4, 1501)(5, 1512)(6, 1502)(7, 1513)(8, 1517)(9, 1518)(10, 1504)(11, 1509)(12, 1523)(13, 1524)(14, 1506)(15, 1507)(16, 1527)(17, 1531)(18, 1533)(19, 1534)(20, 1510)(21, 1511)(22, 1537)(23, 1541)(24, 1543)(25, 1544)(26, 1514)(27, 1547)(28, 1515)(29, 1516)(30, 1550)(31, 1554)(32, 1519)(33, 1557)(34, 1559)(35, 1560)(36, 1520)(37, 1562)(38, 1521)(39, 1522)(40, 1565)(41, 1569)(42, 1525)(43, 1572)(44, 1574)(45, 1575)(46, 1526)(47, 1578)(48, 1579)(49, 1528)(50, 1582)(51, 1529)(52, 1530)(53, 1585)(54, 1536)(55, 1532)(56, 1589)(57, 1593)(58, 1535)(59, 1596)(60, 1598)(61, 1599)(62, 1601)(63, 1602)(64, 1538)(65, 1605)(66, 1539)(67, 1540)(68, 1608)(69, 1546)(70, 1542)(71, 1612)(72, 1616)(73, 1545)(74, 1619)(75, 1621)(76, 1622)(77, 1548)(78, 1625)(79, 1627)(80, 1628)(81, 1549)(82, 1631)(83, 1632)(84, 1551)(85, 1635)(86, 1552)(87, 1553)(88, 1638)(89, 1641)(90, 1555)(91, 1556)(92, 1644)(93, 1604)(94, 1558)(95, 1648)(96, 1652)(97, 1561)(98, 1655)(99, 1656)(100, 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	local type(s) :: { ( 6, 20 ), ( 6, 20, 6, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.1553
Graph:: simple bipartite
	v = 1125 e = 1500 f = 325
	degree seq :: [ 2^750, 4^375 ]

E26.1555 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 10})
Quotient :: dipole
Aut^+ = $<750, 5>$ (small group id <750, 5>)
Aut   = $<1500, 37>$ (small group id <1500, 37>)
|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, Y1^10, (Y1^-3 * Y3 * Y1^3 * Y3 * Y1^-1)^2, (Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-2)^2, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^3 * Y3 * Y1^2 * Y3 * Y1^-2 * Y3 * Y1^-4 * Y3 * Y1^-2 ]
Map:: polytopal
	R = (1, 751, 2, 752, 5, 755, 11, 761, 21, 771, 37, 787, 36, 786, 20, 770, 10, 760, 4, 754)(3, 753, 7, 757, 15, 765, 27, 777, 47, 797, 77, 827, 54, 804, 31, 781, 17, 767, 8, 758)(6, 756, 13, 763, 25, 775, 43, 793, 71, 821, 114, 864, 76, 826, 46, 796, 26, 776, 14, 764)(9, 759, 18, 768, 32, 782, 55, 805, 89, 839, 134, 884, 84, 834, 51, 801, 29, 779, 16, 766)(12, 762, 23, 773, 41, 791, 67, 817, 108, 858, 169, 919, 113, 863, 70, 820, 42, 792, 24, 774)(19, 769, 34, 784, 58, 808, 94, 844, 148, 898, 228, 978, 147, 897, 93, 843, 57, 807, 33, 783)(22, 772, 39, 789, 65, 815, 104, 854, 163, 913, 253, 1003, 168, 918, 107, 857, 66, 816, 40, 790)(28, 778, 49, 799, 81, 831, 128, 878, 199, 949, 305, 1055, 204, 954, 131, 881, 82, 832, 50, 800)(30, 780, 52, 802, 85, 835, 135, 885, 209, 959, 285, 1035, 184, 934, 118, 868, 73, 823, 44, 794)(35, 785, 60, 810, 97, 847, 153, 903, 236, 986, 356, 1106, 235, 985, 152, 902, 96, 846, 59, 809)(38, 788, 63, 813, 102, 852, 159, 909, 247, 997, 370, 1120, 252, 1002, 162, 912, 103, 853, 64, 814)(45, 795, 74, 824, 119, 869, 185, 935, 286, 1036, 399, 1149, 268, 1018, 173, 923, 110, 860, 68, 818)(48, 798, 79, 829, 126, 876, 195, 945, 300, 1050, 376, 1126, 251, 1001, 198, 948, 127, 877, 80, 830)(53, 803, 87, 837, 138, 888, 214, 964, 327, 1077, 473, 1223, 326, 1076, 213, 963, 137, 887, 86, 836)(56, 806, 91, 841, 144, 894, 222, 972, 338, 1088, 485, 1235, 343, 1093, 225, 975, 145, 895, 92, 842)(61, 811, 99, 849, 156, 906, 241, 991, 362, 1112, 512, 1262, 361, 1111, 240, 990, 155, 905, 98, 848)(62, 812, 100, 850, 157, 907, 243, 993, 364, 1114, 514, 1264, 369, 1119, 246, 996, 158, 908, 101, 851)(69, 819, 111, 861, 174, 924, 269, 1019, 400, 1150, 537, 1287, 384, 1134, 257, 1007, 165, 915, 105, 855)(72, 822, 116, 866, 181, 931, 279, 1029, 412, 1162, 519, 1269, 368, 1118, 282, 1032, 182, 932, 117, 867)(75, 825, 121, 871, 188, 938, 291, 1041, 237, 987, 357, 1107, 427, 1177, 290, 1040, 187, 937, 120, 870)(78, 828, 124, 874, 193, 943, 297, 1047, 436, 1186, 542, 1292, 388, 1138, 261, 1011, 194, 944, 125, 875)(83, 833, 132, 882, 205, 955, 314, 1064, 365, 1115, 516, 1266, 451, 1201, 309, 1059, 201, 951, 129, 879)(88, 838, 140, 890, 217, 967, 332, 1082, 428, 1178, 590, 1340, 478, 1228, 331, 1081, 216, 966, 139, 889)(90, 840, 142, 892, 220, 970, 335, 1085, 387, 1137, 259, 1009, 167, 917, 260, 1010, 221, 971, 143, 893)(95, 845, 150, 900, 232, 982, 350, 1100, 499, 1249, 629, 1379, 504, 1254, 353, 1103, 233, 983, 151, 901)(106, 856, 166, 916, 258, 1008, 385, 1135, 538, 1288, 644, 1394, 526, 1276, 374, 1124, 249, 999, 160, 910)(109, 859, 171, 921, 265, 1015, 393, 1143, 548, 1298, 508, 1258, 360, 1110, 396, 1146, 266, 1016, 172, 922)(112, 862, 176, 926, 272, 1022, 231, 981, 149, 899, 230, 980, 349, 1099, 404, 1154, 271, 1021, 175, 925)(115, 865, 179, 929, 277, 1027, 409, 1159, 568, 1318, 444, 1194, 304, 1054, 377, 1127, 278, 1028, 180, 930)(122, 872, 190, 940, 294, 1044, 229, 979, 348, 1098, 497, 1247, 594, 1344, 431, 1181, 293, 1043, 189, 939)(123, 873, 191, 941, 295, 1045, 421, 1171, 582, 1332, 673, 1423, 596, 1346, 435, 1185, 296, 1046, 192, 942)(130, 880, 202, 952, 310, 1060, 452, 1202, 608, 1358, 678, 1428, 601, 1351, 442, 1192, 302, 1052, 196, 946)(133, 883, 207, 957, 317, 1067, 461, 1211, 328, 1078, 474, 1224, 613, 1363, 460, 1210, 316, 1066, 206, 956)(136, 886, 211, 961, 323, 1073, 467, 1217, 525, 1275, 642, 1392, 593, 1343, 470, 1220, 324, 1074, 212, 962)(141, 891, 218, 968, 334, 1084, 480, 1230, 565, 1315, 406, 1156, 273, 1023, 177, 927, 274, 1024, 219, 969)(146, 896, 226, 976, 344, 1094, 373, 1123, 248, 998, 372, 1122, 524, 1274, 489, 1239, 340, 1090, 223, 973)(154, 904, 238, 988, 358, 1108, 507, 1257, 632, 1382, 693, 1443, 633, 1383, 510, 1260, 359, 1109, 239, 989)(161, 911, 250, 1000, 375, 1125, 527, 1277, 645, 1395, 697, 1447, 637, 1387, 517, 1267, 366, 1116, 244, 994)(164, 914, 255, 1005, 381, 1131, 532, 1282, 501, 1251, 351, 1101, 234, 984, 354, 1104, 382, 1132, 256, 1006)(170, 920, 263, 1013, 391, 1141, 545, 1295, 658, 1408, 576, 1326, 416, 1166, 520, 1270, 392, 1142, 264, 1014)(178, 928, 275, 1025, 407, 1157, 557, 1307, 664, 1414, 611, 1361, 456, 1206, 313, 1063, 408, 1158, 276, 1026)(183, 933, 283, 1033, 417, 1167, 577, 1327, 437, 1187, 598, 1348, 500, 1250, 574, 1324, 414, 1164, 280, 1030)(186, 936, 288, 1038, 424, 1174, 584, 1334, 636, 1386, 695, 1445, 669, 1419, 587, 1337, 425, 1175, 289, 1039)(197, 947, 303, 1053, 443, 1193, 602, 1352, 679, 1429, 717, 1467, 677, 1427, 599, 1349, 438, 1188, 298, 1048)(200, 950, 307, 1057, 448, 1198, 533, 1283, 383, 1133, 535, 1285, 477, 1227, 607, 1357, 449, 1199, 308, 1058)(203, 953, 312, 1062, 455, 1205, 322, 1072, 210, 960, 321, 1071, 466, 1216, 534, 1284, 454, 1204, 311, 1061)(208, 958, 319, 1069, 464, 1214, 320, 1070, 465, 1215, 617, 1367, 686, 1436, 616, 1366, 463, 1213, 318, 1068)(215, 965, 329, 1079, 475, 1225, 536, 1286, 651, 1401, 707, 1457, 654, 1404, 539, 1289, 476, 1226, 330, 1080)(224, 974, 341, 1091, 490, 1240, 620, 1370, 674, 1424, 700, 1450, 639, 1389, 571, 1321, 483, 1233, 336, 1086)(227, 977, 346, 1096, 495, 1245, 515, 1265, 457, 1207, 612, 1362, 665, 1415, 578, 1328, 494, 1244, 345, 1095)(242, 992, 245, 995, 367, 1117, 518, 1268, 638, 1388, 698, 1448, 694, 1444, 634, 1384, 513, 1263, 363, 1113)(254, 1004, 379, 1129, 530, 1280, 469, 1219, 619, 1369, 660, 1410, 552, 1302, 511, 1261, 531, 1281, 380, 1130)(262, 1012, 389, 1139, 543, 1293, 653, 1403, 709, 1459, 672, 1422, 581, 1331, 420, 1170, 544, 1294, 390, 1140)(267, 1017, 397, 1147, 553, 1303, 661, 1411, 569, 1319, 488, 1238, 339, 1089, 487, 1237, 550, 1300, 394, 1144)(270, 1020, 402, 1152, 560, 1310, 472, 1222, 621, 1371, 676, 1426, 597, 1347, 666, 1416, 561, 1311, 403, 1153)(281, 1031, 415, 1165, 575, 1325, 503, 1253, 631, 1381, 690, 1440, 626, 1376, 486, 1236, 570, 1320, 410, 1160)(284, 1034, 419, 1169, 580, 1330, 423, 1173, 287, 1037, 422, 1172, 583, 1333, 493, 1243, 579, 1329, 418, 1168)(292, 1042, 429, 1179, 591, 1341, 643, 1393, 702, 1452, 729, 1479, 705, 1455, 646, 1396, 592, 1342, 430, 1180)(299, 1049, 378, 1128, 529, 1279, 648, 1398, 704, 1454, 731, 1481, 712, 1462, 663, 1413, 556, 1306, 433, 1183)(301, 1051, 440, 1190, 549, 1299, 659, 1409, 618, 1368, 468, 1218, 325, 1075, 471, 1221, 562, 1312, 441, 1191)(306, 1056, 446, 1196, 546, 1296, 395, 1145, 551, 1301, 491, 1241, 342, 1092, 492, 1242, 605, 1355, 447, 1197)(315, 1065, 458, 1208, 554, 1304, 398, 1148, 555, 1305, 662, 1412, 559, 1309, 401, 1151, 558, 1308, 459, 1209)(333, 1083, 434, 1184, 595, 1345, 675, 1425, 715, 1465, 735, 1485, 721, 1471, 687, 1437, 623, 1373, 479, 1229)(337, 1087, 484, 1234, 625, 1375, 689, 1439, 723, 1473, 740, 1490, 722, 1472, 688, 1438, 624, 1374, 481, 1231)(347, 1097, 432, 1182, 567, 1317, 445, 1195, 604, 1354, 680, 1430, 718, 1468, 692, 1442, 628, 1378, 496, 1246)(352, 1102, 502, 1252, 630, 1380, 682, 1432, 622, 1372, 647, 1397, 528, 1278, 439, 1189, 600, 1350, 498, 1248)(355, 1105, 506, 1256, 523, 1273, 371, 1121, 522, 1272, 641, 1391, 586, 1336, 453, 1203, 609, 1359, 505, 1255)(386, 1136, 540, 1290, 655, 1405, 589, 1339, 509, 1259, 603, 1353, 670, 1420, 710, 1460, 656, 1406, 541, 1291)(405, 1155, 563, 1313, 667, 1417, 696, 1446, 725, 1475, 741, 1491, 728, 1478, 699, 1449, 668, 1418, 564, 1314)(411, 1161, 521, 1271, 640, 1390, 701, 1451, 727, 1477, 743, 1493, 733, 1483, 708, 1458, 652, 1402, 566, 1316)(413, 1163, 572, 1322, 650, 1400, 606, 1356, 450, 1200, 585, 1335, 426, 1176, 588, 1338, 482, 1232, 573, 1323)(462, 1212, 614, 1364, 685, 1435, 716, 1466, 737, 1487, 742, 1492, 726, 1476, 706, 1456, 649, 1399, 615, 1365)(547, 1297, 635, 1385, 627, 1377, 691, 1441, 724, 1474, 739, 1489, 745, 1495, 730, 1480, 703, 1453, 657, 1407)(610, 1360, 683, 1433, 711, 1461, 734, 1484, 744, 1494, 750, 1500, 747, 1497, 736, 1486, 720, 1470, 684, 1434)(671, 1421, 713, 1463, 732, 1482, 746, 1496, 749, 1499, 748, 1498, 738, 1488, 719, 1469, 681, 1431, 714, 1464)(1501, 2251)(1502, 2252)(1503, 2253)(1504, 2254)(1505, 2255)(1506, 2256)(1507, 2257)(1508, 2258)(1509, 2259)(1510, 2260)(1511, 2261)(1512, 2262)(1513, 2263)(1514, 2264)(1515, 2265)(1516, 2266)(1517, 2267)(1518, 2268)(1519, 2269)(1520, 2270)(1521, 2271)(1522, 2272)(1523, 2273)(1524, 2274)(1525, 2275)(1526, 2276)(1527, 2277)(1528, 2278)(1529, 2279)(1530, 2280)(1531, 2281)(1532, 2282)(1533, 2283)(1534, 2284)(1535, 2285)(1536, 2286)(1537, 2287)(1538, 2288)(1539, 2289)(1540, 2290)(1541, 2291)(1542, 2292)(1543, 2293)(1544, 2294)(1545, 2295)(1546, 2296)(1547, 2297)(1548, 2298)(1549, 2299)(1550, 2300)(1551, 2301)(1552, 2302)(1553, 2303)(1554, 2304)(1555, 2305)(1556, 2306)(1557, 2307)(1558, 2308)(1559, 2309)(1560, 2310)(1561, 2311)(1562, 2312)(1563, 2313)(1564, 2314)(1565, 2315)(1566, 2316)(1567, 2317)(1568, 2318)(1569, 2319)(1570, 2320)(1571, 2321)(1572, 2322)(1573, 2323)(1574, 2324)(1575, 2325)(1576, 2326)(1577, 2327)(1578, 2328)(1579, 2329)(1580, 2330)(1581, 2331)(1582, 2332)(1583, 2333)(1584, 2334)(1585, 2335)(1586, 2336)(1587, 2337)(1588, 2338)(1589, 2339)(1590, 2340)(1591, 2341)(1592, 2342)(1593, 2343)(1594, 2344)(1595, 2345)(1596, 2346)(1597, 2347)(1598, 2348)(1599, 2349)(1600, 2350)(1601, 2351)(1602, 2352)(1603, 2353)(1604, 2354)(1605, 2355)(1606, 2356)(1607, 2357)(1608, 2358)(1609, 2359)(1610, 2360)(1611, 2361)(1612, 2362)(1613, 2363)(1614, 2364)(1615, 2365)(1616, 2366)(1617, 2367)(1618, 2368)(1619, 2369)(1620, 2370)(1621, 2371)(1622, 2372)(1623, 2373)(1624, 2374)(1625, 2375)(1626, 2376)(1627, 2377)(1628, 2378)(1629, 2379)(1630, 2380)(1631, 2381)(1632, 2382)(1633, 2383)(1634, 2384)(1635, 2385)(1636, 2386)(1637, 2387)(1638, 2388)(1639, 2389)(1640, 2390)(1641, 2391)(1642, 2392)(1643, 2393)(1644, 2394)(1645, 2395)(1646, 2396)(1647, 2397)(1648, 2398)(1649, 2399)(1650, 2400)(1651, 2401)(1652, 2402)(1653, 2403)(1654, 2404)(1655, 2405)(1656, 2406)(1657, 2407)(1658, 2408)(1659, 2409)(1660, 2410)(1661, 2411)(1662, 2412)(1663, 2413)(1664, 2414)(1665, 2415)(1666, 2416)(1667, 2417)(1668, 2418)(1669, 2419)(1670, 2420)(1671, 2421)(1672, 2422)(1673, 2423)(1674, 2424)(1675, 2425)(1676, 2426)(1677, 2427)(1678, 2428)(1679, 2429)(1680, 2430)(1681, 2431)(1682, 2432)(1683, 2433)(1684, 2434)(1685, 2435)(1686, 2436)(1687, 2437)(1688, 2438)(1689, 2439)(1690, 2440)(1691, 2441)(1692, 2442)(1693, 2443)(1694, 2444)(1695, 2445)(1696, 2446)(1697, 2447)(1698, 2448)(1699, 2449)(1700, 2450)(1701, 2451)(1702, 2452)(1703, 2453)(1704, 2454)(1705, 2455)(1706, 2456)(1707, 2457)(1708, 2458)(1709, 2459)(1710, 2460)(1711, 2461)(1712, 2462)(1713, 2463)(1714, 2464)(1715, 2465)(1716, 2466)(1717, 2467)(1718, 2468)(1719, 2469)(1720, 2470)(1721, 2471)(1722, 2472)(1723, 2473)(1724, 2474)(1725, 2475)(1726, 2476)(1727, 2477)(1728, 2478)(1729, 2479)(1730, 2480)(1731, 2481)(1732, 2482)(1733, 2483)(1734, 2484)(1735, 2485)(1736, 2486)(1737, 2487)(1738, 2488)(1739, 2489)(1740, 2490)(1741, 2491)(1742, 2492)(1743, 2493)(1744, 2494)(1745, 2495)(1746, 2496)(1747, 2497)(1748, 2498)(1749, 2499)(1750, 2500)(1751, 2501)(1752, 2502)(1753, 2503)(1754, 2504)(1755, 2505)(1756, 2506)(1757, 2507)(1758, 2508)(1759, 2509)(1760, 2510)(1761, 2511)(1762, 2512)(1763, 2513)(1764, 2514)(1765, 2515)(1766, 2516)(1767, 2517)(1768, 2518)(1769, 2519)(1770, 2520)(1771, 2521)(1772, 2522)(1773, 2523)(1774, 2524)(1775, 2525)(1776, 2526)(1777, 2527)(1778, 2528)(1779, 2529)(1780, 2530)(1781, 2531)(1782, 2532)(1783, 2533)(1784, 2534)(1785, 2535)(1786, 2536)(1787, 2537)(1788, 2538)(1789, 2539)(1790, 2540)(1791, 2541)(1792, 2542)(1793, 2543)(1794, 2544)(1795, 2545)(1796, 2546)(1797, 2547)(1798, 2548)(1799, 2549)(1800, 2550)(1801, 2551)(1802, 2552)(1803, 2553)(1804, 2554)(1805, 2555)(1806, 2556)(1807, 2557)(1808, 2558)(1809, 2559)(1810, 2560)(1811, 2561)(1812, 2562)(1813, 2563)(1814, 2564)(1815, 2565)(1816, 2566)(1817, 2567)(1818, 2568)(1819, 2569)(1820, 2570)(1821, 2571)(1822, 2572)(1823, 2573)(1824, 2574)(1825, 2575)(1826, 2576)(1827, 2577)(1828, 2578)(1829, 2579)(1830, 2580)(1831, 2581)(1832, 2582)(1833, 2583)(1834, 2584)(1835, 2585)(1836, 2586)(1837, 2587)(1838, 2588)(1839, 2589)(1840, 2590)(1841, 2591)(1842, 2592)(1843, 2593)(1844, 2594)(1845, 2595)(1846, 2596)(1847, 2597)(1848, 2598)(1849, 2599)(1850, 2600)(1851, 2601)(1852, 2602)(1853, 2603)(1854, 2604)(1855, 2605)(1856, 2606)(1857, 2607)(1858, 2608)(1859, 2609)(1860, 2610)(1861, 2611)(1862, 2612)(1863, 2613)(1864, 2614)(1865, 2615)(1866, 2616)(1867, 2617)(1868, 2618)(1869, 2619)(1870, 2620)(1871, 2621)(1872, 2622)(1873, 2623)(1874, 2624)(1875, 2625)(1876, 2626)(1877, 2627)(1878, 2628)(1879, 2629)(1880, 2630)(1881, 2631)(1882, 2632)(1883, 2633)(1884, 2634)(1885, 2635)(1886, 2636)(1887, 2637)(1888, 2638)(1889, 2639)(1890, 2640)(1891, 2641)(1892, 2642)(1893, 2643)(1894, 2644)(1895, 2645)(1896, 2646)(1897, 2647)(1898, 2648)(1899, 2649)(1900, 2650)(1901, 2651)(1902, 2652)(1903, 2653)(1904, 2654)(1905, 2655)(1906, 2656)(1907, 2657)(1908, 2658)(1909, 2659)(1910, 2660)(1911, 2661)(1912, 2662)(1913, 2663)(1914, 2664)(1915, 2665)(1916, 2666)(1917, 2667)(1918, 2668)(1919, 2669)(1920, 2670)(1921, 2671)(1922, 2672)(1923, 2673)(1924, 2674)(1925, 2675)(1926, 2676)(1927, 2677)(1928, 2678)(1929, 2679)(1930, 2680)(1931, 2681)(1932, 2682)(1933, 2683)(1934, 2684)(1935, 2685)(1936, 2686)(1937, 2687)(1938, 2688)(1939, 2689)(1940, 2690)(1941, 2691)(1942, 2692)(1943, 2693)(1944, 2694)(1945, 2695)(1946, 2696)(1947, 2697)(1948, 2698)(1949, 2699)(1950, 2700)(1951, 2701)(1952, 2702)(1953, 2703)(1954, 2704)(1955, 2705)(1956, 2706)(1957, 2707)(1958, 2708)(1959, 2709)(1960, 2710)(1961, 2711)(1962, 2712)(1963, 2713)(1964, 2714)(1965, 2715)(1966, 2716)(1967, 2717)(1968, 2718)(1969, 2719)(1970, 2720)(1971, 2721)(1972, 2722)(1973, 2723)(1974, 2724)(1975, 2725)(1976, 2726)(1977, 2727)(1978, 2728)(1979, 2729)(1980, 2730)(1981, 2731)(1982, 2732)(1983, 2733)(1984, 2734)(1985, 2735)(1986, 2736)(1987, 2737)(1988, 2738)(1989, 2739)(1990, 2740)(1991, 2741)(1992, 2742)(1993, 2743)(1994, 2744)(1995, 2745)(1996, 2746)(1997, 2747)(1998, 2748)(1999, 2749)(2000, 2750)(2001, 2751)(2002, 2752)(2003, 2753)(2004, 2754)(2005, 2755)(2006, 2756)(2007, 2757)(2008, 2758)(2009, 2759)(2010, 2760)(2011, 2761)(2012, 2762)(2013, 2763)(2014, 2764)(2015, 2765)(2016, 2766)(2017, 2767)(2018, 2768)(2019, 2769)(2020, 2770)(2021, 2771)(2022, 2772)(2023, 2773)(2024, 2774)(2025, 2775)(2026, 2776)(2027, 2777)(2028, 2778)(2029, 2779)(2030, 2780)(2031, 2781)(2032, 2782)(2033, 2783)(2034, 2784)(2035, 2785)(2036, 2786)(2037, 2787)(2038, 2788)(2039, 2789)(2040, 2790)(2041, 2791)(2042, 2792)(2043, 2793)(2044, 2794)(2045, 2795)(2046, 2796)(2047, 2797)(2048, 2798)(2049, 2799)(2050, 2800)(2051, 2801)(2052, 2802)(2053, 2803)(2054, 2804)(2055, 2805)(2056, 2806)(2057, 2807)(2058, 2808)(2059, 2809)(2060, 2810)(2061, 2811)(2062, 2812)(2063, 2813)(2064, 2814)(2065, 2815)(2066, 2816)(2067, 2817)(2068, 2818)(2069, 2819)(2070, 2820)(2071, 2821)(2072, 2822)(2073, 2823)(2074, 2824)(2075, 2825)(2076, 2826)(2077, 2827)(2078, 2828)(2079, 2829)(2080, 2830)(2081, 2831)(2082, 2832)(2083, 2833)(2084, 2834)(2085, 2835)(2086, 2836)(2087, 2837)(2088, 2838)(2089, 2839)(2090, 2840)(2091, 2841)(2092, 2842)(2093, 2843)(2094, 2844)(2095, 2845)(2096, 2846)(2097, 2847)(2098, 2848)(2099, 2849)(2100, 2850)(2101, 2851)(2102, 2852)(2103, 2853)(2104, 2854)(2105, 2855)(2106, 2856)(2107, 2857)(2108, 2858)(2109, 2859)(2110, 2860)(2111, 2861)(2112, 2862)(2113, 2863)(2114, 2864)(2115, 2865)(2116, 2866)(2117, 2867)(2118, 2868)(2119, 2869)(2120, 2870)(2121, 2871)(2122, 2872)(2123, 2873)(2124, 2874)(2125, 2875)(2126, 2876)(2127, 2877)(2128, 2878)(2129, 2879)(2130, 2880)(2131, 2881)(2132, 2882)(2133, 2883)(2134, 2884)(2135, 2885)(2136, 2886)(2137, 2887)(2138, 2888)(2139, 2889)(2140, 2890)(2141, 2891)(2142, 2892)(2143, 2893)(2144, 2894)(2145, 2895)(2146, 2896)(2147, 2897)(2148, 2898)(2149, 2899)(2150, 2900)(2151, 2901)(2152, 2902)(2153, 2903)(2154, 2904)(2155, 2905)(2156, 2906)(2157, 2907)(2158, 2908)(2159, 2909)(2160, 2910)(2161, 2911)(2162, 2912)(2163, 2913)(2164, 2914)(2165, 2915)(2166, 2916)(2167, 2917)(2168, 2918)(2169, 2919)(2170, 2920)(2171, 2921)(2172, 2922)(2173, 2923)(2174, 2924)(2175, 2925)(2176, 2926)(2177, 2927)(2178, 2928)(2179, 2929)(2180, 2930)(2181, 2931)(2182, 2932)(2183, 2933)(2184, 2934)(2185, 2935)(2186, 2936)(2187, 2937)(2188, 2938)(2189, 2939)(2190, 2940)(2191, 2941)(2192, 2942)(2193, 2943)(2194, 2944)(2195, 2945)(2196, 2946)(2197, 2947)(2198, 2948)(2199, 2949)(2200, 2950)(2201, 2951)(2202, 2952)(2203, 2953)(2204, 2954)(2205, 2955)(2206, 2956)(2207, 2957)(2208, 2958)(2209, 2959)(2210, 2960)(2211, 2961)(2212, 2962)(2213, 2963)(2214, 2964)(2215, 2965)(2216, 2966)(2217, 2967)(2218, 2968)(2219, 2969)(2220, 2970)(2221, 2971)(2222, 2972)(2223, 2973)(2224, 2974)(2225, 2975)(2226, 2976)(2227, 2977)(2228, 2978)(2229, 2979)(2230, 2980)(2231, 2981)(2232, 2982)(2233, 2983)(2234, 2984)(2235, 2985)(2236, 2986)(2237, 2987)(2238, 2988)(2239, 2989)(2240, 2990)(2241, 2991)(2242, 2992)(2243, 2993)(2244, 2994)(2245, 2995)(2246, 2996)(2247, 2997)(2248, 2998)(2249, 2999)(2250, 3000)
	L = (1, 1503)(2, 1506)(3, 1501)(4, 1509)(5, 1512)(6, 1502)(7, 1516)(8, 1513)(9, 1504)(10, 1519)(11, 1522)(12, 1505)(13, 1508)(14, 1523)(15, 1528)(16, 1507)(17, 1530)(18, 1533)(19, 1510)(20, 1535)(21, 1538)(22, 1511)(23, 1514)(24, 1539)(25, 1544)(26, 1545)(27, 1548)(28, 1515)(29, 1549)(30, 1517)(31, 1553)(32, 1556)(33, 1518)(34, 1559)(35, 1520)(36, 1561)(37, 1562)(38, 1521)(39, 1524)(40, 1563)(41, 1568)(42, 1569)(43, 1572)(44, 1525)(45, 1526)(46, 1575)(47, 1578)(48, 1527)(49, 1529)(50, 1579)(51, 1583)(52, 1586)(53, 1531)(54, 1588)(55, 1590)(56, 1532)(57, 1591)(58, 1595)(59, 1534)(60, 1598)(61, 1536)(62, 1537)(63, 1540)(64, 1600)(65, 1605)(66, 1606)(67, 1609)(68, 1541)(69, 1542)(70, 1612)(71, 1615)(72, 1543)(73, 1616)(74, 1620)(75, 1546)(76, 1622)(77, 1623)(78, 1547)(79, 1550)(80, 1624)(81, 1629)(82, 1630)(83, 1551)(84, 1633)(85, 1636)(86, 1552)(87, 1639)(88, 1554)(89, 1641)(90, 1555)(91, 1557)(92, 1642)(93, 1646)(94, 1649)(95, 1558)(96, 1650)(97, 1654)(98, 1560)(99, 1601)(100, 1564)(101, 1599)(102, 1660)(103, 1661)(104, 1664)(105, 1565)(106, 1566)(107, 1667)(108, 1670)(109, 1567)(110, 1671)(111, 1675)(112, 1570)(113, 1677)(114, 1678)(115, 1571)(116, 1573)(117, 1679)(118, 1683)(119, 1686)(120, 1574)(121, 1689)(122, 1576)(123, 1577)(124, 1580)(125, 1691)(126, 1696)(127, 1697)(128, 1700)(129, 1581)(130, 1582)(131, 1703)(132, 1706)(133, 1584)(134, 1708)(135, 1710)(136, 1585)(137, 1711)(138, 1715)(139, 1587)(140, 1692)(141, 1589)(142, 1592)(143, 1718)(144, 1723)(145, 1724)(146, 1593)(147, 1727)(148, 1729)(149, 1594)(150, 1596)(151, 1730)(152, 1734)(153, 1737)(154, 1597)(155, 1738)(156, 1742)(157, 1744)(158, 1745)(159, 1748)(160, 1602)(161, 1603)(162, 1751)(163, 1754)(164, 1604)(165, 1755)(166, 1759)(167, 1607)(168, 1761)(169, 1762)(170, 1608)(171, 1610)(172, 1763)(173, 1767)(174, 1770)(175, 1611)(176, 1773)(177, 1613)(178, 1614)(179, 1617)(180, 1775)(181, 1780)(182, 1781)(183, 1618)(184, 1784)(185, 1787)(186, 1619)(187, 1788)(188, 1792)(189, 1621)(190, 1776)(191, 1625)(192, 1640)(193, 1798)(194, 1799)(195, 1801)(196, 1626)(197, 1627)(198, 1804)(199, 1806)(200, 1628)(201, 1807)(202, 1811)(203, 1631)(204, 1813)(205, 1815)(206, 1632)(207, 1818)(208, 1634)(209, 1820)(210, 1635)(211, 1637)(212, 1821)(213, 1825)(214, 1828)(215, 1638)(216, 1829)(217, 1833)(218, 1643)(219, 1819)(220, 1836)(221, 1837)(222, 1839)(223, 1644)(224, 1645)(225, 1842)(226, 1845)(227, 1647)(228, 1847)(229, 1648)(230, 1651)(231, 1848)(232, 1851)(233, 1852)(234, 1652)(235, 1855)(236, 1832)(237, 1653)(238, 1655)(239, 1857)(240, 1860)(241, 1827)(242, 1656)(243, 1865)(244, 1657)(245, 1658)(246, 1868)(247, 1871)(248, 1659)(249, 1872)(250, 1876)(251, 1662)(252, 1877)(253, 1878)(254, 1663)(255, 1665)(256, 1879)(257, 1883)(258, 1886)(259, 1666)(260, 1888)(261, 1668)(262, 1669)(263, 1672)(264, 1889)(265, 1894)(266, 1895)(267, 1673)(268, 1898)(269, 1901)(270, 1674)(271, 1902)(272, 1905)(273, 1676)(274, 1890)(275, 1680)(276, 1690)(277, 1910)(278, 1911)(279, 1913)(280, 1681)(281, 1682)(282, 1916)(283, 1918)(284, 1684)(285, 1920)(286, 1921)(287, 1685)(288, 1687)(289, 1922)(290, 1926)(291, 1928)(292, 1688)(293, 1929)(294, 1932)(295, 1933)(296, 1934)(297, 1937)(298, 1693)(299, 1694)(300, 1939)(301, 1695)(302, 1940)(303, 1944)(304, 1698)(305, 1945)(306, 1699)(307, 1701)(308, 1946)(309, 1950)(310, 1953)(311, 1702)(312, 1956)(313, 1704)(314, 1957)(315, 1705)(316, 1958)(317, 1962)(318, 1707)(319, 1719)(320, 1709)(321, 1712)(322, 1965)(323, 1968)(324, 1969)(325, 1713)(326, 1972)(327, 1741)(328, 1714)(329, 1716)(330, 1974)(331, 1977)(332, 1736)(333, 1717)(334, 1981)(335, 1982)(336, 1720)(337, 1721)(338, 1986)(339, 1722)(340, 1987)(341, 1991)(342, 1725)(343, 1935)(344, 1993)(345, 1726)(346, 1996)(347, 1728)(348, 1731)(349, 1998)(350, 2000)(351, 1732)(352, 1733)(353, 2003)(354, 2005)(355, 1735)(356, 1979)(357, 1739)(358, 2008)(359, 2009)(360, 1740)(361, 2011)(362, 1961)(363, 1973)(364, 2015)(365, 1743)(366, 2016)(367, 2019)(368, 1746)(369, 2020)(370, 2021)(371, 1747)(372, 1749)(373, 2022)(374, 2025)(375, 2028)(376, 1750)(377, 1752)(378, 1753)(379, 1756)(380, 2029)(381, 2033)(382, 2034)(383, 1757)(384, 2036)(385, 2039)(386, 1758)(387, 2040)(388, 1760)(389, 1764)(390, 1774)(391, 2046)(392, 2047)(393, 2049)(394, 1765)(395, 1766)(396, 2052)(397, 2054)(398, 1768)(399, 2056)(400, 2057)(401, 1769)(402, 1771)(403, 2058)(404, 2062)(405, 1772)(406, 2063)(407, 2066)(408, 2067)(409, 2069)(410, 1777)(411, 1778)(412, 2071)(413, 1779)(414, 2072)(415, 2076)(416, 1782)(417, 2078)(418, 1783)(419, 2081)(420, 1785)(421, 1786)(422, 1789)(423, 2082)(424, 2085)(425, 2086)(426, 1790)(427, 2089)(428, 1791)(429, 1793)(430, 2090)(431, 2093)(432, 1794)(433, 1795)(434, 1796)(435, 1843)(436, 2097)(437, 1797)(438, 2098)(439, 1800)(440, 1802)(441, 2100)(442, 2048)(443, 2103)(444, 1803)(445, 1805)(446, 1808)(447, 2104)(448, 2106)(449, 2045)(450, 1809)(451, 2084)(452, 2087)(453, 1810)(454, 2109)(455, 2110)(456, 1812)(457, 1814)(458, 1816)(459, 2112)(460, 2053)(461, 1862)(462, 1817)(463, 2114)(464, 2044)(465, 1822)(466, 2030)(467, 2024)(468, 1823)(469, 1824)(470, 2120)(471, 2060)(472, 1826)(473, 1863)(474, 1830)(475, 2035)(476, 2041)(477, 1831)(478, 2122)(479, 1856)(480, 2108)(481, 1834)(482, 1835)(483, 2073)(484, 2042)(485, 2095)(486, 1838)(487, 1840)(488, 2070)(489, 2118)(490, 2119)(491, 1841)(492, 2096)(493, 1844)(494, 2079)(495, 2127)(496, 1846)(497, 2064)(498, 1849)(499, 2099)(500, 1850)(501, 2074)(502, 2075)(503, 1853)(504, 2116)(505, 1854)(506, 2123)(507, 2101)(508, 1858)(509, 1859)(510, 2102)(511, 1861)(512, 2115)(513, 2121)(514, 2135)(515, 1864)(516, 1866)(517, 2136)(518, 2139)(519, 1867)(520, 1869)(521, 1870)(522, 1873)(523, 2140)(524, 1967)(525, 1874)(526, 2143)(527, 2146)(528, 1875)(529, 1880)(530, 1966)(531, 2149)(532, 2150)(533, 1881)(534, 1882)(535, 1975)(536, 1884)(537, 2152)(538, 2153)(539, 1885)(540, 1887)(541, 1976)(542, 1984)(543, 2157)(544, 1964)(545, 1949)(546, 1891)(547, 1892)(548, 1942)(549, 1893)(550, 2159)(551, 2160)(552, 1896)(553, 1960)(554, 1897)(555, 2163)(556, 1899)(557, 1900)(558, 1903)(559, 2164)(560, 1971)(561, 2165)(562, 1904)(563, 1906)(564, 1997)(565, 2169)(566, 1907)(567, 1908)(568, 2170)(569, 1909)(570, 1988)(571, 1912)(572, 1914)(573, 1983)(574, 2001)(575, 2002)(576, 1915)(577, 2166)(578, 1917)(579, 1994)(580, 2171)(581, 1919)(582, 1923)(583, 2141)(584, 1951)(585, 1924)(586, 1925)(587, 1952)(588, 2155)(589, 1927)(590, 1930)(591, 2142)(592, 2147)(593, 1931)(594, 2174)(595, 1985)(596, 1992)(597, 1936)(598, 1938)(599, 1999)(600, 1941)(601, 2007)(602, 2010)(603, 1943)(604, 1947)(605, 2181)(606, 1948)(607, 2182)(608, 1980)(609, 1954)(610, 1955)(611, 2183)(612, 1959)(613, 2156)(614, 1963)(615, 2012)(616, 2004)(617, 2184)(618, 1989)(619, 1990)(620, 1970)(621, 2013)(622, 1978)(623, 2006)(624, 2178)(625, 2176)(626, 2175)(627, 1995)(628, 2191)(629, 2185)(630, 2158)(631, 2186)(632, 2188)(633, 2192)(634, 2189)(635, 2014)(636, 2017)(637, 2196)(638, 2199)(639, 2018)(640, 2023)(641, 2083)(642, 2091)(643, 2026)(644, 2203)(645, 2204)(646, 2027)(647, 2092)(648, 2206)(649, 2031)(650, 2032)(651, 2208)(652, 2037)(653, 2038)(654, 2209)(655, 2088)(656, 2113)(657, 2043)(658, 2130)(659, 2050)(660, 2051)(661, 2210)(662, 2211)(663, 2055)(664, 2059)(665, 2061)(666, 2077)(667, 2195)(668, 2200)(669, 2065)(670, 2068)(671, 2080)(672, 2213)(673, 2214)(674, 2094)(675, 2126)(676, 2125)(677, 2216)(678, 2124)(679, 2218)(680, 2219)(681, 2105)(682, 2107)(683, 2111)(684, 2117)(685, 2129)(686, 2131)(687, 2201)(688, 2132)(689, 2134)(690, 2220)(691, 2128)(692, 2133)(693, 2224)(694, 2221)(695, 2167)(696, 2137)(697, 2226)(698, 2227)(699, 2138)(700, 2168)(701, 2187)(702, 2230)(703, 2144)(704, 2145)(705, 2231)(706, 2148)(707, 2232)(708, 2151)(709, 2154)(710, 2161)(711, 2162)(712, 2234)(713, 2172)(714, 2173)(715, 2236)(716, 2177)(717, 2238)(718, 2179)(719, 2180)(720, 2190)(721, 2194)(722, 2239)(723, 2235)(724, 2193)(725, 2242)(726, 2197)(727, 2198)(728, 2243)(729, 2244)(730, 2202)(731, 2205)(732, 2207)(733, 2246)(734, 2212)(735, 2223)(736, 2215)(737, 2248)(738, 2217)(739, 2222)(740, 2247)(741, 2249)(742, 2225)(743, 2228)(744, 2229)(745, 2250)(746, 2233)(747, 2240)(748, 2237)(749, 2241)(750, 2245)(751, 2251)(752, 2252)(753, 2253)(754, 2254)(755, 2255)(756, 2256)(757, 2257)(758, 2258)(759, 2259)(760, 2260)(761, 2261)(762, 2262)(763, 2263)(764, 2264)(765, 2265)(766, 2266)(767, 2267)(768, 2268)(769, 2269)(770, 2270)(771, 2271)(772, 2272)(773, 2273)(774, 2274)(775, 2275)(776, 2276)(777, 2277)(778, 2278)(779, 2279)(780, 2280)(781, 2281)(782, 2282)(783, 2283)(784, 2284)(785, 2285)(786, 2286)(787, 2287)(788, 2288)(789, 2289)(790, 2290)(791, 2291)(792, 2292)(793, 2293)(794, 2294)(795, 2295)(796, 2296)(797, 2297)(798, 2298)(799, 2299)(800, 2300)(801, 2301)(802, 2302)(803, 2303)(804, 2304)(805, 2305)(806, 2306)(807, 2307)(808, 2308)(809, 2309)(810, 2310)(811, 2311)(812, 2312)(813, 2313)(814, 2314)(815, 2315)(816, 2316)(817, 2317)(818, 2318)(819, 2319)(820, 2320)(821, 2321)(822, 2322)(823, 2323)(824, 2324)(825, 2325)(826, 2326)(827, 2327)(828, 2328)(829, 2329)(830, 2330)(831, 2331)(832, 2332)(833, 2333)(834, 2334)(835, 2335)(836, 2336)(837, 2337)(838, 2338)(839, 2339)(840, 2340)(841, 2341)(842, 2342)(843, 2343)(844, 2344)(845, 2345)(846, 2346)(847, 2347)(848, 2348)(849, 2349)(850, 2350)(851, 2351)(852, 2352)(853, 2353)(854, 2354)(855, 2355)(856, 2356)(857, 2357)(858, 2358)(859, 2359)(860, 2360)(861, 2361)(862, 2362)(863, 2363)(864, 2364)(865, 2365)(866, 2366)(867, 2367)(868, 2368)(869, 2369)(870, 2370)(871, 2371)(872, 2372)(873, 2373)(874, 2374)(875, 2375)(876, 2376)(877, 2377)(878, 2378)(879, 2379)(880, 2380)(881, 2381)(882, 2382)(883, 2383)(884, 2384)(885, 2385)(886, 2386)(887, 2387)(888, 2388)(889, 2389)(890, 2390)(891, 2391)(892, 2392)(893, 2393)(894, 2394)(895, 2395)(896, 2396)(897, 2397)(898, 2398)(899, 2399)(900, 2400)(901, 2401)(902, 2402)(903, 2403)(904, 2404)(905, 2405)(906, 2406)(907, 2407)(908, 2408)(909, 2409)(910, 2410)(911, 2411)(912, 2412)(913, 2413)(914, 2414)(915, 2415)(916, 2416)(917, 2417)(918, 2418)(919, 2419)(920, 2420)(921, 2421)(922, 2422)(923, 2423)(924, 2424)(925, 2425)(926, 2426)(927, 2427)(928, 2428)(929, 2429)(930, 2430)(931, 2431)(932, 2432)(933, 2433)(934, 2434)(935, 2435)(936, 2436)(937, 2437)(938, 2438)(939, 2439)(940, 2440)(941, 2441)(942, 2442)(943, 2443)(944, 2444)(945, 2445)(946, 2446)(947, 2447)(948, 2448)(949, 2449)(950, 2450)(951, 2451)(952, 2452)(953, 2453)(954, 2454)(955, 2455)(956, 2456)(957, 2457)(958, 2458)(959, 2459)(960, 2460)(961, 2461)(962, 2462)(963, 2463)(964, 2464)(965, 2465)(966, 2466)(967, 2467)(968, 2468)(969, 2469)(970, 2470)(971, 2471)(972, 2472)(973, 2473)(974, 2474)(975, 2475)(976, 2476)(977, 2477)(978, 2478)(979, 2479)(980, 2480)(981, 2481)(982, 2482)(983, 2483)(984, 2484)(985, 2485)(986, 2486)(987, 2487)(988, 2488)(989, 2489)(990, 2490)(991, 2491)(992, 2492)(993, 2493)(994, 2494)(995, 2495)(996, 2496)(997, 2497)(998, 2498)(999, 2499)(1000, 2500)(1001, 2501)(1002, 2502)(1003, 2503)(1004, 2504)(1005, 2505)(1006, 2506)(1007, 2507)(1008, 2508)(1009, 2509)(1010, 2510)(1011, 2511)(1012, 2512)(1013, 2513)(1014, 2514)(1015, 2515)(1016, 2516)(1017, 2517)(1018, 2518)(1019, 2519)(1020, 2520)(1021, 2521)(1022, 2522)(1023, 2523)(1024, 2524)(1025, 2525)(1026, 2526)(1027, 2527)(1028, 2528)(1029, 2529)(1030, 2530)(1031, 2531)(1032, 2532)(1033, 2533)(1034, 2534)(1035, 2535)(1036, 2536)(1037, 2537)(1038, 2538)(1039, 2539)(1040, 2540)(1041, 2541)(1042, 2542)(1043, 2543)(1044, 2544)(1045, 2545)(1046, 2546)(1047, 2547)(1048, 2548)(1049, 2549)(1050, 2550)(1051, 2551)(1052, 2552)(1053, 2553)(1054, 2554)(1055, 2555)(1056, 2556)(1057, 2557)(1058, 2558)(1059, 2559)(1060, 2560)(1061, 2561)(1062, 2562)(1063, 2563)(1064, 2564)(1065, 2565)(1066, 2566)(1067, 2567)(1068, 2568)(1069, 2569)(1070, 2570)(1071, 2571)(1072, 2572)(1073, 2573)(1074, 2574)(1075, 2575)(1076, 2576)(1077, 2577)(1078, 2578)(1079, 2579)(1080, 2580)(1081, 2581)(1082, 2582)(1083, 2583)(1084, 2584)(1085, 2585)(1086, 2586)(1087, 2587)(1088, 2588)(1089, 2589)(1090, 2590)(1091, 2591)(1092, 2592)(1093, 2593)(1094, 2594)(1095, 2595)(1096, 2596)(1097, 2597)(1098, 2598)(1099, 2599)(1100, 2600)(1101, 2601)(1102, 2602)(1103, 2603)(1104, 2604)(1105, 2605)(1106, 2606)(1107, 2607)(1108, 2608)(1109, 2609)(1110, 2610)(1111, 2611)(1112, 2612)(1113, 2613)(1114, 2614)(1115, 2615)(1116, 2616)(1117, 2617)(1118, 2618)(1119, 2619)(1120, 2620)(1121, 2621)(1122, 2622)(1123, 2623)(1124, 2624)(1125, 2625)(1126, 2626)(1127, 2627)(1128, 2628)(1129, 2629)(1130, 2630)(1131, 2631)(1132, 2632)(1133, 2633)(1134, 2634)(1135, 2635)(1136, 2636)(1137, 2637)(1138, 2638)(1139, 2639)(1140, 2640)(1141, 2641)(1142, 2642)(1143, 2643)(1144, 2644)(1145, 2645)(1146, 2646)(1147, 2647)(1148, 2648)(1149, 2649)(1150, 2650)(1151, 2651)(1152, 2652)(1153, 2653)(1154, 2654)(1155, 2655)(1156, 2656)(1157, 2657)(1158, 2658)(1159, 2659)(1160, 2660)(1161, 2661)(1162, 2662)(1163, 2663)(1164, 2664)(1165, 2665)(1166, 2666)(1167, 2667)(1168, 2668)(1169, 2669)(1170, 2670)(1171, 2671)(1172, 2672)(1173, 2673)(1174, 2674)(1175, 2675)(1176, 2676)(1177, 2677)(1178, 2678)(1179, 2679)(1180, 2680)(1181, 2681)(1182, 2682)(1183, 2683)(1184, 2684)(1185, 2685)(1186, 2686)(1187, 2687)(1188, 2688)(1189, 2689)(1190, 2690)(1191, 2691)(1192, 2692)(1193, 2693)(1194, 2694)(1195, 2695)(1196, 2696)(1197, 2697)(1198, 2698)(1199, 2699)(1200, 2700)(1201, 2701)(1202, 2702)(1203, 2703)(1204, 2704)(1205, 2705)(1206, 2706)(1207, 2707)(1208, 2708)(1209, 2709)(1210, 2710)(1211, 2711)(1212, 2712)(1213, 2713)(1214, 2714)(1215, 2715)(1216, 2716)(1217, 2717)(1218, 2718)(1219, 2719)(1220, 2720)(1221, 2721)(1222, 2722)(1223, 2723)(1224, 2724)(1225, 2725)(1226, 2726)(1227, 2727)(1228, 2728)(1229, 2729)(1230, 2730)(1231, 2731)(1232, 2732)(1233, 2733)(1234, 2734)(1235, 2735)(1236, 2736)(1237, 2737)(1238, 2738)(1239, 2739)(1240, 2740)(1241, 2741)(1242, 2742)(1243, 2743)(1244, 2744)(1245, 2745)(1246, 2746)(1247, 2747)(1248, 2748)(1249, 2749)(1250, 2750)(1251, 2751)(1252, 2752)(1253, 2753)(1254, 2754)(1255, 2755)(1256, 2756)(1257, 2757)(1258, 2758)(1259, 2759)(1260, 2760)(1261, 2761)(1262, 2762)(1263, 2763)(1264, 2764)(1265, 2765)(1266, 2766)(1267, 2767)(1268, 2768)(1269, 2769)(1270, 2770)(1271, 2771)(1272, 2772)(1273, 2773)(1274, 2774)(1275, 2775)(1276, 2776)(1277, 2777)(1278, 2778)(1279, 2779)(1280, 2780)(1281, 2781)(1282, 2782)(1283, 2783)(1284, 2784)(1285, 2785)(1286, 2786)(1287, 2787)(1288, 2788)(1289, 2789)(1290, 2790)(1291, 2791)(1292, 2792)(1293, 2793)(1294, 2794)(1295, 2795)(1296, 2796)(1297, 2797)(1298, 2798)(1299, 2799)(1300, 2800)(1301, 2801)(1302, 2802)(1303, 2803)(1304, 2804)(1305, 2805)(1306, 2806)(1307, 2807)(1308, 2808)(1309, 2809)(1310, 2810)(1311, 2811)(1312, 2812)(1313, 2813)(1314, 2814)(1315, 2815)(1316, 2816)(1317, 2817)(1318, 2818)(1319, 2819)(1320, 2820)(1321, 2821)(1322, 2822)(1323, 2823)(1324, 2824)(1325, 2825)(1326, 2826)(1327, 2827)(1328, 2828)(1329, 2829)(1330, 2830)(1331, 2831)(1332, 2832)(1333, 2833)(1334, 2834)(1335, 2835)(1336, 2836)(1337, 2837)(1338, 2838)(1339, 2839)(1340, 2840)(1341, 2841)(1342, 2842)(1343, 2843)(1344, 2844)(1345, 2845)(1346, 2846)(1347, 2847)(1348, 2848)(1349, 2849)(1350, 2850)(1351, 2851)(1352, 2852)(1353, 2853)(1354, 2854)(1355, 2855)(1356, 2856)(1357, 2857)(1358, 2858)(1359, 2859)(1360, 2860)(1361, 2861)(1362, 2862)(1363, 2863)(1364, 2864)(1365, 2865)(1366, 2866)(1367, 2867)(1368, 2868)(1369, 2869)(1370, 2870)(1371, 2871)(1372, 2872)(1373, 2873)(1374, 2874)(1375, 2875)(1376, 2876)(1377, 2877)(1378, 2878)(1379, 2879)(1380, 2880)(1381, 2881)(1382, 2882)(1383, 2883)(1384, 2884)(1385, 2885)(1386, 2886)(1387, 2887)(1388, 2888)(1389, 2889)(1390, 2890)(1391, 2891)(1392, 2892)(1393, 2893)(1394, 2894)(1395, 2895)(1396, 2896)(1397, 2897)(1398, 2898)(1399, 2899)(1400, 2900)(1401, 2901)(1402, 2902)(1403, 2903)(1404, 2904)(1405, 2905)(1406, 2906)(1407, 2907)(1408, 2908)(1409, 2909)(1410, 2910)(1411, 2911)(1412, 2912)(1413, 2913)(1414, 2914)(1415, 2915)(1416, 2916)(1417, 2917)(1418, 2918)(1419, 2919)(1420, 2920)(1421, 2921)(1422, 2922)(1423, 2923)(1424, 2924)(1425, 2925)(1426, 2926)(1427, 2927)(1428, 2928)(1429, 2929)(1430, 2930)(1431, 2931)(1432, 2932)(1433, 2933)(1434, 2934)(1435, 2935)(1436, 2936)(1437, 2937)(1438, 2938)(1439, 2939)(1440, 2940)(1441, 2941)(1442, 2942)(1443, 2943)(1444, 2944)(1445, 2945)(1446, 2946)(1447, 2947)(1448, 2948)(1449, 2949)(1450, 2950)(1451, 2951)(1452, 2952)(1453, 2953)(1454, 2954)(1455, 2955)(1456, 2956)(1457, 2957)(1458, 2958)(1459, 2959)(1460, 2960)(1461, 2961)(1462, 2962)(1463, 2963)(1464, 2964)(1465, 2965)(1466, 2966)(1467, 2967)(1468, 2968)(1469, 2969)(1470, 2970)(1471, 2971)(1472, 2972)(1473, 2973)(1474, 2974)(1475, 2975)(1476, 2976)(1477, 2977)(1478, 2978)(1479, 2979)(1480, 2980)(1481, 2981)(1482, 2982)(1483, 2983)(1484, 2984)(1485, 2985)(1486, 2986)(1487, 2987)(1488, 2988)(1489, 2989)(1490, 2990)(1491, 2991)(1492, 2992)(1493, 2993)(1494, 2994)(1495, 2995)(1496, 2996)(1497, 2997)(1498, 2998)(1499, 2999)(1500, 3000)
	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 ) }
Outer automorphisms :: reflexible
Dual of E26.1552
Graph:: simple bipartite
	v = 825 e = 1500 f = 625
	degree seq :: [ 2^750, 20^75 ]

E26.1556 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 10})
Quotient :: dipole
Aut^+ = $<750, 5>$ (small group id <750, 5>)
Aut   = $<1500, 37>$ (small group id <1500, 37>)
|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, Y2^10, R * Y2^-4 * R * Y1 * Y2^-4 * Y1, (Y2^-2 * Y1 * Y2^3 * Y1 * Y2^-2)^2, Y2^2 * Y1 * Y2^-2 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1, 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 ]
Map::
	R = (1, 751, 2, 752)(3, 753, 7, 757)(4, 754, 9, 759)(5, 755, 11, 761)(6, 756, 13, 763)(8, 758, 16, 766)(10, 760, 19, 769)(12, 762, 22, 772)(14, 764, 25, 775)(15, 765, 27, 777)(17, 767, 30, 780)(18, 768, 32, 782)(20, 770, 35, 785)(21, 771, 37, 787)(23, 773, 40, 790)(24, 774, 42, 792)(26, 776, 45, 795)(28, 778, 48, 798)(29, 779, 50, 800)(31, 781, 53, 803)(33, 783, 56, 806)(34, 784, 58, 808)(36, 786, 61, 811)(38, 788, 63, 813)(39, 789, 65, 815)(41, 791, 68, 818)(43, 793, 71, 821)(44, 794, 73, 823)(46, 796, 76, 826)(47, 797, 77, 827)(49, 799, 80, 830)(51, 801, 83, 833)(52, 802, 85, 835)(54, 804, 88, 838)(55, 805, 89, 839)(57, 807, 92, 842)(59, 809, 95, 845)(60, 810, 97, 847)(62, 812, 100, 850)(64, 814, 103, 853)(66, 816, 106, 856)(67, 817, 108, 858)(69, 819, 111, 861)(70, 820, 112, 862)(72, 822, 115, 865)(74, 824, 118, 868)(75, 825, 120, 870)(78, 828, 124, 874)(79, 829, 126, 876)(81, 831, 129, 879)(82, 832, 130, 880)(84, 834, 133, 883)(86, 836, 136, 886)(87, 837, 138, 888)(90, 840, 142, 892)(91, 841, 144, 894)(93, 843, 147, 897)(94, 844, 148, 898)(96, 846, 151, 901)(98, 848, 154, 904)(99, 849, 140, 890)(101, 851, 158, 908)(102, 852, 160, 910)(104, 854, 163, 913)(105, 855, 164, 914)(107, 857, 167, 917)(109, 859, 170, 920)(110, 860, 172, 922)(113, 863, 176, 926)(114, 864, 178, 928)(116, 866, 181, 931)(117, 867, 182, 932)(119, 869, 185, 935)(121, 871, 188, 938)(122, 872, 174, 924)(123, 873, 191, 941)(125, 875, 194, 944)(127, 877, 197, 947)(128, 878, 199, 949)(131, 881, 203, 953)(132, 882, 205, 955)(134, 884, 208, 958)(135, 885, 209, 959)(137, 887, 212, 962)(139, 889, 215, 965)(141, 891, 218, 968)(143, 893, 221, 971)(145, 895, 224, 974)(146, 896, 226, 976)(149, 899, 230, 980)(150, 900, 232, 982)(152, 902, 235, 985)(153, 903, 236, 986)(155, 905, 239, 989)(156, 906, 241, 991)(157, 907, 243, 993)(159, 909, 246, 996)(161, 911, 249, 999)(162, 912, 251, 1001)(165, 915, 255, 1005)(166, 916, 257, 1007)(168, 918, 260, 1010)(169, 919, 261, 1011)(171, 921, 264, 1014)(173, 923, 267, 1017)(175, 925, 270, 1020)(177, 927, 273, 1023)(179, 929, 276, 1026)(180, 930, 278, 1028)(183, 933, 282, 1032)(184, 934, 284, 1034)(186, 936, 287, 1037)(187, 937, 288, 1038)(189, 939, 291, 1041)(190, 940, 293, 1043)(192, 942, 296, 1046)(193, 943, 298, 1048)(195, 945, 301, 1051)(196, 946, 302, 1052)(198, 948, 305, 1055)(200, 950, 308, 1058)(201, 951, 280, 1030)(202, 952, 311, 1061)(204, 954, 314, 1064)(206, 956, 317, 1067)(207, 957, 319, 1069)(210, 960, 323, 1073)(211, 961, 325, 1075)(213, 963, 268, 1018)(214, 964, 328, 1078)(216, 966, 265, 1015)(217, 967, 332, 1082)(219, 969, 335, 1085)(220, 970, 337, 1087)(222, 972, 340, 1090)(223, 973, 341, 1091)(225, 975, 344, 1094)(227, 977, 347, 1097)(228, 978, 253, 1003)(229, 979, 348, 1098)(231, 981, 351, 1101)(233, 983, 354, 1104)(234, 984, 356, 1106)(237, 987, 358, 1108)(238, 988, 360, 1110)(240, 990, 294, 1044)(242, 992, 292, 1042)(244, 994, 365, 1115)(245, 995, 367, 1117)(247, 997, 370, 1120)(248, 998, 371, 1121)(250, 1000, 374, 1124)(252, 1002, 377, 1127)(254, 1004, 380, 1130)(256, 1006, 383, 1133)(258, 1008, 386, 1136)(259, 1009, 388, 1138)(262, 1012, 392, 1142)(263, 1013, 394, 1144)(266, 1016, 397, 1147)(269, 1019, 401, 1151)(271, 1021, 404, 1154)(272, 1022, 406, 1156)(274, 1024, 409, 1159)(275, 1025, 410, 1160)(277, 1027, 413, 1163)(279, 1029, 416, 1166)(281, 1031, 417, 1167)(283, 1033, 420, 1170)(285, 1035, 423, 1173)(286, 1036, 425, 1175)(289, 1039, 427, 1177)(290, 1040, 429, 1179)(295, 1045, 433, 1183)(297, 1047, 436, 1186)(299, 1049, 439, 1189)(300, 1050, 441, 1191)(303, 1053, 445, 1195)(304, 1054, 447, 1197)(306, 1056, 398, 1148)(307, 1057, 450, 1200)(309, 1059, 432, 1182)(310, 1060, 453, 1203)(312, 1062, 455, 1205)(313, 1063, 457, 1207)(315, 1065, 399, 1149)(316, 1066, 460, 1210)(318, 1068, 463, 1213)(320, 1070, 466, 1216)(321, 1071, 443, 1193)(322, 1072, 467, 1217)(324, 1074, 470, 1220)(326, 1076, 473, 1223)(327, 1077, 400, 1150)(329, 1079, 375, 1125)(330, 1080, 384, 1134)(331, 1081, 396, 1146)(333, 1083, 414, 1164)(334, 1084, 480, 1230)(336, 1086, 483, 1233)(338, 1088, 486, 1236)(339, 1089, 487, 1237)(342, 1092, 490, 1240)(343, 1093, 491, 1241)(345, 1095, 402, 1152)(346, 1096, 494, 1244)(349, 1099, 498, 1248)(350, 1100, 500, 1250)(352, 1102, 431, 1181)(353, 1103, 502, 1252)(355, 1105, 504, 1254)(357, 1107, 507, 1257)(359, 1109, 509, 1259)(361, 1111, 511, 1261)(362, 1112, 421, 1171)(363, 1113, 378, 1128)(364, 1114, 514, 1264)(366, 1116, 517, 1267)(368, 1118, 520, 1270)(369, 1119, 522, 1272)(372, 1122, 526, 1276)(373, 1123, 528, 1278)(376, 1126, 531, 1281)(379, 1129, 534, 1284)(381, 1131, 536, 1286)(382, 1132, 538, 1288)(385, 1135, 541, 1291)(387, 1137, 544, 1294)(389, 1139, 547, 1297)(390, 1140, 524, 1274)(391, 1141, 548, 1298)(393, 1143, 551, 1301)(395, 1145, 554, 1304)(403, 1153, 561, 1311)(405, 1155, 564, 1314)(407, 1157, 567, 1317)(408, 1158, 568, 1318)(411, 1161, 571, 1321)(412, 1162, 572, 1322)(415, 1165, 575, 1325)(418, 1168, 579, 1329)(419, 1169, 581, 1331)(422, 1172, 583, 1333)(424, 1174, 585, 1335)(426, 1176, 588, 1338)(428, 1178, 590, 1340)(430, 1180, 592, 1342)(434, 1184, 535, 1285)(435, 1185, 525, 1275)(437, 1187, 556, 1306)(438, 1188, 519, 1269)(440, 1190, 598, 1348)(442, 1192, 600, 1350)(444, 1194, 516, 1266)(446, 1196, 602, 1352)(448, 1198, 543, 1293)(449, 1199, 557, 1307)(451, 1201, 586, 1336)(452, 1202, 591, 1341)(454, 1204, 515, 1265)(456, 1206, 589, 1339)(458, 1208, 542, 1292)(459, 1209, 558, 1308)(461, 1211, 539, 1289)(462, 1212, 529, 1279)(464, 1214, 576, 1326)(465, 1215, 612, 1362)(468, 1218, 580, 1330)(469, 1219, 616, 1366)(471, 1221, 577, 1327)(472, 1222, 618, 1368)(474, 1224, 593, 1343)(475, 1225, 518, 1268)(476, 1226, 530, 1280)(477, 1227, 540, 1290)(478, 1228, 565, 1315)(479, 1229, 574, 1324)(481, 1231, 578, 1328)(482, 1232, 570, 1320)(484, 1234, 559, 1309)(485, 1235, 566, 1316)(488, 1238, 626, 1376)(489, 1239, 563, 1313)(492, 1242, 584, 1334)(493, 1243, 560, 1310)(495, 1245, 545, 1295)(496, 1246, 552, 1302)(497, 1247, 562, 1312)(499, 1249, 549, 1299)(501, 1251, 594, 1344)(503, 1253, 573, 1323)(505, 1255, 532, 1282)(506, 1256, 614, 1364)(508, 1258, 537, 1287)(510, 1260, 533, 1283)(512, 1262, 555, 1305)(513, 1263, 582, 1332)(521, 1271, 638, 1388)(523, 1273, 640, 1390)(527, 1277, 642, 1392)(546, 1296, 652, 1402)(550, 1300, 656, 1406)(553, 1303, 658, 1408)(569, 1319, 666, 1416)(587, 1337, 654, 1404)(595, 1345, 647, 1397)(596, 1346, 660, 1410)(597, 1347, 670, 1420)(599, 1349, 676, 1426)(601, 1351, 679, 1429)(603, 1353, 650, 1400)(604, 1354, 669, 1419)(605, 1355, 671, 1421)(606, 1356, 649, 1399)(607, 1357, 635, 1385)(608, 1358, 667, 1417)(609, 1359, 646, 1396)(610, 1360, 643, 1393)(611, 1361, 653, 1403)(613, 1363, 651, 1401)(615, 1365, 680, 1430)(617, 1367, 668, 1418)(619, 1369, 677, 1427)(620, 1370, 636, 1386)(621, 1371, 678, 1428)(622, 1372, 681, 1431)(623, 1373, 664, 1414)(624, 1374, 663, 1413)(625, 1375, 689, 1439)(627, 1377, 648, 1398)(628, 1378, 657, 1407)(629, 1379, 644, 1394)(630, 1380, 637, 1387)(631, 1381, 645, 1395)(632, 1382, 691, 1441)(633, 1383, 690, 1440)(634, 1384, 692, 1442)(639, 1389, 696, 1446)(641, 1391, 699, 1449)(655, 1405, 700, 1450)(659, 1409, 697, 1447)(661, 1411, 698, 1448)(662, 1412, 701, 1451)(665, 1415, 709, 1459)(672, 1422, 711, 1461)(673, 1423, 710, 1460)(674, 1424, 712, 1462)(675, 1425, 702, 1452)(682, 1432, 695, 1445)(683, 1433, 708, 1458)(684, 1434, 715, 1465)(685, 1435, 718, 1468)(686, 1436, 706, 1456)(687, 1437, 719, 1469)(688, 1438, 703, 1453)(693, 1443, 722, 1472)(694, 1444, 714, 1464)(704, 1454, 725, 1475)(705, 1455, 728, 1478)(707, 1457, 729, 1479)(713, 1463, 732, 1482)(716, 1466, 735, 1485)(717, 1467, 730, 1480)(720, 1470, 727, 1477)(721, 1471, 734, 1484)(723, 1473, 739, 1489)(724, 1474, 731, 1481)(726, 1476, 741, 1491)(733, 1483, 745, 1495)(736, 1486, 743, 1493)(737, 1487, 742, 1492)(738, 1488, 746, 1496)(740, 1490, 744, 1494)(747, 1497, 750, 1500)(748, 1498, 749, 1499)(1501, 2251, 1503, 2253, 1508, 2258, 1517, 2267, 1531, 2281, 1554, 2304, 1536, 2286, 1520, 2270, 1510, 2260, 1504, 2254)(1502, 2252, 1505, 2255, 1512, 2262, 1523, 2273, 1541, 2291, 1569, 2319, 1546, 2296, 1526, 2276, 1514, 2264, 1506, 2256)(1507, 2257, 1513, 2263, 1524, 2274, 1543, 2293, 1572, 2322, 1616, 2366, 1581, 2331, 1549, 2299, 1528, 2278, 1515, 2265)(1509, 2259, 1518, 2268, 1533, 2283, 1557, 2307, 1593, 2343, 1604, 2354, 1564, 2314, 1538, 2288, 1521, 2271, 1511, 2261)(1516, 2266, 1527, 2277, 1547, 2297, 1578, 2328, 1625, 2375, 1695, 2445, 1634, 2384, 1584, 2334, 1551, 2301, 1529, 2279)(1519, 2269, 1534, 2284, 1559, 2309, 1596, 2346, 1652, 2402, 1722, 2472, 1643, 2393, 1590, 2340, 1555, 2305, 1532, 2282)(1522, 2272, 1537, 2287, 1562, 2312, 1601, 2351, 1659, 2409, 1747, 2497, 1668, 2418, 1607, 2357, 1566, 2316, 1539, 2289)(1525, 2275, 1544, 2294, 1574, 2324, 1619, 2369, 1686, 2436, 1774, 2524, 1677, 2427, 1613, 2363, 1570, 2320, 1542, 2292)(1530, 2280, 1550, 2300, 1582, 2332, 1631, 2381, 1704, 2454, 1815, 2565, 1713, 2463, 1637, 2387, 1586, 2336, 1552, 2302)(1535, 2285, 1560, 2310, 1598, 2348, 1655, 2405, 1740, 2490, 1852, 2602, 1731, 2481, 1649, 2399, 1594, 2344, 1558, 2308)(1540, 2290, 1565, 2315, 1605, 2355, 1665, 2415, 1756, 2506, 1884, 2634, 1765, 2515, 1671, 2421, 1609, 2359, 1567, 2317)(1545, 2295, 1575, 2325, 1621, 2371, 1689, 2439, 1792, 2542, 1921, 2671, 1783, 2533, 1683, 2433, 1617, 2367, 1573, 2323)(1548, 2298, 1579, 2329, 1627, 2377, 1698, 2448, 1806, 2556, 1937, 2687, 1797, 2547, 1692, 2442, 1623, 2373, 1577, 2327)(1553, 2303, 1585, 2335, 1635, 2385, 1710, 2460, 1824, 2574, 1971, 2721, 1831, 2581, 1716, 2466, 1639, 2389, 1587, 2337)(1556, 2306, 1589, 2339, 1641, 2391, 1719, 2469, 1836, 2586, 1984, 2734, 1845, 2595, 1725, 2475, 1645, 2395, 1591, 2341)(1561, 2311, 1599, 2349, 1656, 2406, 1742, 2492, 1863, 2613, 2010, 2760, 1859, 2609, 1737, 2487, 1653, 2403, 1597, 2347)(1563, 2313, 1602, 2352, 1661, 2411, 1750, 2500, 1875, 2625, 2018, 2768, 1866, 2616, 1744, 2494, 1657, 2407, 1600, 2350)(1568, 2318, 1608, 2358, 1669, 2419, 1762, 2512, 1893, 2643, 2052, 2802, 1900, 2650, 1768, 2518, 1673, 2423, 1610, 2360)(1571, 2321, 1612, 2362, 1675, 2425, 1771, 2521, 1905, 2655, 2065, 2815, 1914, 2664, 1777, 2527, 1679, 2429, 1614, 2364)(1576, 2326, 1622, 2372, 1690, 2440, 1794, 2544, 1932, 2682, 2091, 2841, 1928, 2678, 1789, 2539, 1687, 2437, 1620, 2370)(1580, 2330, 1628, 2378, 1700, 2450, 1809, 2559, 1739, 2489, 1860, 2610, 1946, 2696, 1803, 2553, 1696, 2446, 1626, 2376)(1583, 2333, 1632, 2382, 1706, 2456, 1818, 2568, 1964, 2714, 2108, 2858, 1956, 2706, 1812, 2562, 1702, 2452, 1630, 2380)(1588, 2338, 1638, 2388, 1714, 2464, 1829, 2579, 1976, 2726, 2121, 2871, 1979, 2729, 1833, 2583, 1717, 2467, 1640, 2390)(1592, 2342, 1644, 2394, 1723, 2473, 1842, 2592, 1972, 2722, 1825, 2575, 1712, 2462, 1827, 2577, 1727, 2477, 1646, 2396)(1595, 2345, 1648, 2398, 1729, 2479, 1849, 2599, 1999, 2749, 2129, 2879, 2005, 2755, 1855, 2605, 1733, 2483, 1650, 2400)(1603, 2353, 1662, 2412, 1752, 2502, 1878, 2628, 1791, 2541, 1929, 2679, 2027, 2777, 1872, 2622, 1748, 2498, 1660, 2410)(1606, 2356, 1666, 2416, 1758, 2508, 1887, 2637, 2045, 2795, 2148, 2898, 2037, 2787, 1881, 2631, 1754, 2504, 1664, 2414)(1611, 2361, 1672, 2422, 1766, 2516, 1898, 2648, 2057, 2807, 2161, 2911, 2060, 2810, 1902, 2652, 1769, 2519, 1674, 2424)(1615, 2365, 1678, 2428, 1775, 2525, 1911, 2661, 2053, 2803, 1894, 2644, 1764, 2514, 1896, 2646, 1779, 2529, 1680, 2430)(1618, 2368, 1682, 2432, 1781, 2531, 1918, 2668, 2080, 2830, 2169, 2919, 2086, 2836, 1924, 2674, 1785, 2535, 1684, 2434)(1624, 2374, 1691, 2441, 1795, 2545, 1934, 2684, 2036, 2786, 2007, 2757, 1858, 2608, 1940, 2690, 1799, 2549, 1693, 2443)(1629, 2379, 1701, 2451, 1810, 2560, 1735, 2485, 1856, 2606, 2006, 2756, 2105, 2855, 1951, 2701, 1807, 2557, 1699, 2449)(1633, 2383, 1707, 2457, 1820, 2570, 1734, 2484, 1651, 2401, 1732, 2482, 1853, 2603, 1961, 2711, 1816, 2566, 1705, 2455)(1636, 2386, 1711, 2461, 1826, 2576, 1974, 2724, 2119, 2869, 2184, 2934, 2115, 2865, 1968, 2718, 1822, 2572, 1709, 2459)(1642, 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2944, 2134, 2884, 2013, 2763, 1862, 2612)(1746, 2496, 1867, 2617, 2019, 2769, 1939, 2689, 2097, 2847, 1991, 2741, 1844, 2594, 1993, 2743, 2023, 2773, 1869, 2619)(1749, 2499, 1871, 2621, 2025, 2775, 1936, 2686, 2096, 2846, 2175, 2925, 2111, 2861, 1963, 2713, 2029, 2779, 1873, 2623)(1755, 2505, 1880, 2630, 2035, 2785, 2147, 2897, 2078, 2828, 1917, 2667, 1782, 2532, 1919, 2669, 2039, 2789, 1882, 2632)(1767, 2517, 1899, 2649, 2058, 2808, 2162, 2912, 2206, 2956, 2230, 2980, 2205, 2955, 2160, 2910, 2056, 2806, 1897, 2647)(1773, 2523, 1908, 2658, 2069, 2819, 1949, 2699, 1805, 2555, 1947, 2697, 2103, 2853, 1986, 2736, 2066, 2816, 1906, 2656)(1776, 2526, 1912, 2662, 2073, 2823, 2004, 2754, 2131, 2881, 2188, 2938, 2124, 2874, 1983, 2733, 2070, 2820, 1910, 2660)(1793, 2543, 1901, 2651, 2059, 2809, 2163, 2913, 2207, 2957, 2231, 2981, 2214, 2964, 2174, 2924, 2094, 2844, 1931, 2681)(1796, 2546, 1935, 2685, 2026, 2776, 2141, 2891, 2071, 2821, 1982, 2732, 1835, 2585, 1980, 2730, 2095, 2845, 1933, 2683)(1801, 2551, 1941, 2691, 2099, 2849, 2177, 2927, 2210, 2960, 2165, 2915, 2068, 2818, 1909, 2659, 2034, 2784, 1943, 2693)(1808, 2558, 1950, 2700, 2104, 2854, 2180, 2930, 2216, 2966, 2236, 2986, 2217, 2967, 2181, 2931, 2106, 2856, 1952, 2702)(1814, 2564, 1957, 2707, 2083, 2833, 1923, 2673, 2084, 2834, 2170, 2920, 2098, 2848, 2009, 2759, 2109, 2859, 1959, 2709)(1817, 2567, 1960, 2710, 2081, 2831, 1920, 2670, 2082, 2832, 2157, 2907, 2051, 2801, 2156, 2906, 2110, 2860, 1962, 2712)(1840, 2590, 1953, 2703, 2024, 2774, 1870, 2620, 2022, 2772, 2139, 2889, 2197, 2947, 2190, 2940, 2125, 2875, 1987, 2737)(1847, 2597, 1996, 2746, 2128, 2878, 2192, 2942, 2224, 2974, 2240, 2990, 2223, 2973, 2191, 2941, 2127, 2877, 1994, 2744)(1851, 2601, 2001, 2751, 2117, 2867, 1970, 2720, 2116, 2866, 2150, 2900, 2043, 2793, 1886, 2636, 2041, 2791, 2000, 2750)(1854, 2604, 2003, 2753, 2130, 2880, 2138, 2888, 2090, 2840, 2149, 2899, 2040, 2790, 1883, 2633, 2038, 2788, 2002, 2752)(1865, 2615, 2016, 2766, 1945, 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	L = (1, 1502)(2, 1501)(3, 1507)(4, 1509)(5, 1511)(6, 1513)(7, 1503)(8, 1516)(9, 1504)(10, 1519)(11, 1505)(12, 1522)(13, 1506)(14, 1525)(15, 1527)(16, 1508)(17, 1530)(18, 1532)(19, 1510)(20, 1535)(21, 1537)(22, 1512)(23, 1540)(24, 1542)(25, 1514)(26, 1545)(27, 1515)(28, 1548)(29, 1550)(30, 1517)(31, 1553)(32, 1518)(33, 1556)(34, 1558)(35, 1520)(36, 1561)(37, 1521)(38, 1563)(39, 1565)(40, 1523)(41, 1568)(42, 1524)(43, 1571)(44, 1573)(45, 1526)(46, 1576)(47, 1577)(48, 1528)(49, 1580)(50, 1529)(51, 1583)(52, 1585)(53, 1531)(54, 1588)(55, 1589)(56, 1533)(57, 1592)(58, 1534)(59, 1595)(60, 1597)(61, 1536)(62, 1600)(63, 1538)(64, 1603)(65, 1539)(66, 1606)(67, 1608)(68, 1541)(69, 1611)(70, 1612)(71, 1543)(72, 1615)(73, 1544)(74, 1618)(75, 1620)(76, 1546)(77, 1547)(78, 1624)(79, 1626)(80, 1549)(81, 1629)(82, 1630)(83, 1551)(84, 1633)(85, 1552)(86, 1636)(87, 1638)(88, 1554)(89, 1555)(90, 1642)(91, 1644)(92, 1557)(93, 1647)(94, 1648)(95, 1559)(96, 1651)(97, 1560)(98, 1654)(99, 1640)(100, 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2242)(738, 2246)(739, 2223)(740, 2244)(741, 2226)(742, 2237)(743, 2236)(744, 2240)(745, 2233)(746, 2238)(747, 2250)(748, 2249)(749, 2248)(750, 2247)(751, 2251)(752, 2252)(753, 2253)(754, 2254)(755, 2255)(756, 2256)(757, 2257)(758, 2258)(759, 2259)(760, 2260)(761, 2261)(762, 2262)(763, 2263)(764, 2264)(765, 2265)(766, 2266)(767, 2267)(768, 2268)(769, 2269)(770, 2270)(771, 2271)(772, 2272)(773, 2273)(774, 2274)(775, 2275)(776, 2276)(777, 2277)(778, 2278)(779, 2279)(780, 2280)(781, 2281)(782, 2282)(783, 2283)(784, 2284)(785, 2285)(786, 2286)(787, 2287)(788, 2288)(789, 2289)(790, 2290)(791, 2291)(792, 2292)(793, 2293)(794, 2294)(795, 2295)(796, 2296)(797, 2297)(798, 2298)(799, 2299)(800, 2300)(801, 2301)(802, 2302)(803, 2303)(804, 2304)(805, 2305)(806, 2306)(807, 2307)(808, 2308)(809, 2309)(810, 2310)(811, 2311)(812, 2312)(813, 2313)(814, 2314)(815, 2315)(816, 2316)(817, 2317)(818, 2318)(819, 2319)(820, 2320)(821, 2321)(822, 2322)(823, 2323)(824, 2324)(825, 2325)(826, 2326)(827, 2327)(828, 2328)(829, 2329)(830, 2330)(831, 2331)(832, 2332)(833, 2333)(834, 2334)(835, 2335)(836, 2336)(837, 2337)(838, 2338)(839, 2339)(840, 2340)(841, 2341)(842, 2342)(843, 2343)(844, 2344)(845, 2345)(846, 2346)(847, 2347)(848, 2348)(849, 2349)(850, 2350)(851, 2351)(852, 2352)(853, 2353)(854, 2354)(855, 2355)(856, 2356)(857, 2357)(858, 2358)(859, 2359)(860, 2360)(861, 2361)(862, 2362)(863, 2363)(864, 2364)(865, 2365)(866, 2366)(867, 2367)(868, 2368)(869, 2369)(870, 2370)(871, 2371)(872, 2372)(873, 2373)(874, 2374)(875, 2375)(876, 2376)(877, 2377)(878, 2378)(879, 2379)(880, 2380)(881, 2381)(882, 2382)(883, 2383)(884, 2384)(885, 2385)(886, 2386)(887, 2387)(888, 2388)(889, 2389)(890, 2390)(891, 2391)(892, 2392)(893, 2393)(894, 2394)(895, 2395)(896, 2396)(897, 2397)(898, 2398)(899, 2399)(900, 2400)(901, 2401)(902, 2402)(903, 2403)(904, 2404)(905, 2405)(906, 2406)(907, 2407)(908, 2408)(909, 2409)(910, 2410)(911, 2411)(912, 2412)(913, 2413)(914, 2414)(915, 2415)(916, 2416)(917, 2417)(918, 2418)(919, 2419)(920, 2420)(921, 2421)(922, 2422)(923, 2423)(924, 2424)(925, 2425)(926, 2426)(927, 2427)(928, 2428)(929, 2429)(930, 2430)(931, 2431)(932, 2432)(933, 2433)(934, 2434)(935, 2435)(936, 2436)(937, 2437)(938, 2438)(939, 2439)(940, 2440)(941, 2441)(942, 2442)(943, 2443)(944, 2444)(945, 2445)(946, 2446)(947, 2447)(948, 2448)(949, 2449)(950, 2450)(951, 2451)(952, 2452)(953, 2453)(954, 2454)(955, 2455)(956, 2456)(957, 2457)(958, 2458)(959, 2459)(960, 2460)(961, 2461)(962, 2462)(963, 2463)(964, 2464)(965, 2465)(966, 2466)(967, 2467)(968, 2468)(969, 2469)(970, 2470)(971, 2471)(972, 2472)(973, 2473)(974, 2474)(975, 2475)(976, 2476)(977, 2477)(978, 2478)(979, 2479)(980, 2480)(981, 2481)(982, 2482)(983, 2483)(984, 2484)(985, 2485)(986, 2486)(987, 2487)(988, 2488)(989, 2489)(990, 2490)(991, 2491)(992, 2492)(993, 2493)(994, 2494)(995, 2495)(996, 2496)(997, 2497)(998, 2498)(999, 2499)(1000, 2500)(1001, 2501)(1002, 2502)(1003, 2503)(1004, 2504)(1005, 2505)(1006, 2506)(1007, 2507)(1008, 2508)(1009, 2509)(1010, 2510)(1011, 2511)(1012, 2512)(1013, 2513)(1014, 2514)(1015, 2515)(1016, 2516)(1017, 2517)(1018, 2518)(1019, 2519)(1020, 2520)(1021, 2521)(1022, 2522)(1023, 2523)(1024, 2524)(1025, 2525)(1026, 2526)(1027, 2527)(1028, 2528)(1029, 2529)(1030, 2530)(1031, 2531)(1032, 2532)(1033, 2533)(1034, 2534)(1035, 2535)(1036, 2536)(1037, 2537)(1038, 2538)(1039, 2539)(1040, 2540)(1041, 2541)(1042, 2542)(1043, 2543)(1044, 2544)(1045, 2545)(1046, 2546)(1047, 2547)(1048, 2548)(1049, 2549)(1050, 2550)(1051, 2551)(1052, 2552)(1053, 2553)(1054, 2554)(1055, 2555)(1056, 2556)(1057, 2557)(1058, 2558)(1059, 2559)(1060, 2560)(1061, 2561)(1062, 2562)(1063, 2563)(1064, 2564)(1065, 2565)(1066, 2566)(1067, 2567)(1068, 2568)(1069, 2569)(1070, 2570)(1071, 2571)(1072, 2572)(1073, 2573)(1074, 2574)(1075, 2575)(1076, 2576)(1077, 2577)(1078, 2578)(1079, 2579)(1080, 2580)(1081, 2581)(1082, 2582)(1083, 2583)(1084, 2584)(1085, 2585)(1086, 2586)(1087, 2587)(1088, 2588)(1089, 2589)(1090, 2590)(1091, 2591)(1092, 2592)(1093, 2593)(1094, 2594)(1095, 2595)(1096, 2596)(1097, 2597)(1098, 2598)(1099, 2599)(1100, 2600)(1101, 2601)(1102, 2602)(1103, 2603)(1104, 2604)(1105, 2605)(1106, 2606)(1107, 2607)(1108, 2608)(1109, 2609)(1110, 2610)(1111, 2611)(1112, 2612)(1113, 2613)(1114, 2614)(1115, 2615)(1116, 2616)(1117, 2617)(1118, 2618)(1119, 2619)(1120, 2620)(1121, 2621)(1122, 2622)(1123, 2623)(1124, 2624)(1125, 2625)(1126, 2626)(1127, 2627)(1128, 2628)(1129, 2629)(1130, 2630)(1131, 2631)(1132, 2632)(1133, 2633)(1134, 2634)(1135, 2635)(1136, 2636)(1137, 2637)(1138, 2638)(1139, 2639)(1140, 2640)(1141, 2641)(1142, 2642)(1143, 2643)(1144, 2644)(1145, 2645)(1146, 2646)(1147, 2647)(1148, 2648)(1149, 2649)(1150, 2650)(1151, 2651)(1152, 2652)(1153, 2653)(1154, 2654)(1155, 2655)(1156, 2656)(1157, 2657)(1158, 2658)(1159, 2659)(1160, 2660)(1161, 2661)(1162, 2662)(1163, 2663)(1164, 2664)(1165, 2665)(1166, 2666)(1167, 2667)(1168, 2668)(1169, 2669)(1170, 2670)(1171, 2671)(1172, 2672)(1173, 2673)(1174, 2674)(1175, 2675)(1176, 2676)(1177, 2677)(1178, 2678)(1179, 2679)(1180, 2680)(1181, 2681)(1182, 2682)(1183, 2683)(1184, 2684)(1185, 2685)(1186, 2686)(1187, 2687)(1188, 2688)(1189, 2689)(1190, 2690)(1191, 2691)(1192, 2692)(1193, 2693)(1194, 2694)(1195, 2695)(1196, 2696)(1197, 2697)(1198, 2698)(1199, 2699)(1200, 2700)(1201, 2701)(1202, 2702)(1203, 2703)(1204, 2704)(1205, 2705)(1206, 2706)(1207, 2707)(1208, 2708)(1209, 2709)(1210, 2710)(1211, 2711)(1212, 2712)(1213, 2713)(1214, 2714)(1215, 2715)(1216, 2716)(1217, 2717)(1218, 2718)(1219, 2719)(1220, 2720)(1221, 2721)(1222, 2722)(1223, 2723)(1224, 2724)(1225, 2725)(1226, 2726)(1227, 2727)(1228, 2728)(1229, 2729)(1230, 2730)(1231, 2731)(1232, 2732)(1233, 2733)(1234, 2734)(1235, 2735)(1236, 2736)(1237, 2737)(1238, 2738)(1239, 2739)(1240, 2740)(1241, 2741)(1242, 2742)(1243, 2743)(1244, 2744)(1245, 2745)(1246, 2746)(1247, 2747)(1248, 2748)(1249, 2749)(1250, 2750)(1251, 2751)(1252, 2752)(1253, 2753)(1254, 2754)(1255, 2755)(1256, 2756)(1257, 2757)(1258, 2758)(1259, 2759)(1260, 2760)(1261, 2761)(1262, 2762)(1263, 2763)(1264, 2764)(1265, 2765)(1266, 2766)(1267, 2767)(1268, 2768)(1269, 2769)(1270, 2770)(1271, 2771)(1272, 2772)(1273, 2773)(1274, 2774)(1275, 2775)(1276, 2776)(1277, 2777)(1278, 2778)(1279, 2779)(1280, 2780)(1281, 2781)(1282, 2782)(1283, 2783)(1284, 2784)(1285, 2785)(1286, 2786)(1287, 2787)(1288, 2788)(1289, 2789)(1290, 2790)(1291, 2791)(1292, 2792)(1293, 2793)(1294, 2794)(1295, 2795)(1296, 2796)(1297, 2797)(1298, 2798)(1299, 2799)(1300, 2800)(1301, 2801)(1302, 2802)(1303, 2803)(1304, 2804)(1305, 2805)(1306, 2806)(1307, 2807)(1308, 2808)(1309, 2809)(1310, 2810)(1311, 2811)(1312, 2812)(1313, 2813)(1314, 2814)(1315, 2815)(1316, 2816)(1317, 2817)(1318, 2818)(1319, 2819)(1320, 2820)(1321, 2821)(1322, 2822)(1323, 2823)(1324, 2824)(1325, 2825)(1326, 2826)(1327, 2827)(1328, 2828)(1329, 2829)(1330, 2830)(1331, 2831)(1332, 2832)(1333, 2833)(1334, 2834)(1335, 2835)(1336, 2836)(1337, 2837)(1338, 2838)(1339, 2839)(1340, 2840)(1341, 2841)(1342, 2842)(1343, 2843)(1344, 2844)(1345, 2845)(1346, 2846)(1347, 2847)(1348, 2848)(1349, 2849)(1350, 2850)(1351, 2851)(1352, 2852)(1353, 2853)(1354, 2854)(1355, 2855)(1356, 2856)(1357, 2857)(1358, 2858)(1359, 2859)(1360, 2860)(1361, 2861)(1362, 2862)(1363, 2863)(1364, 2864)(1365, 2865)(1366, 2866)(1367, 2867)(1368, 2868)(1369, 2869)(1370, 2870)(1371, 2871)(1372, 2872)(1373, 2873)(1374, 2874)(1375, 2875)(1376, 2876)(1377, 2877)(1378, 2878)(1379, 2879)(1380, 2880)(1381, 2881)(1382, 2882)(1383, 2883)(1384, 2884)(1385, 2885)(1386, 2886)(1387, 2887)(1388, 2888)(1389, 2889)(1390, 2890)(1391, 2891)(1392, 2892)(1393, 2893)(1394, 2894)(1395, 2895)(1396, 2896)(1397, 2897)(1398, 2898)(1399, 2899)(1400, 2900)(1401, 2901)(1402, 2902)(1403, 2903)(1404, 2904)(1405, 2905)(1406, 2906)(1407, 2907)(1408, 2908)(1409, 2909)(1410, 2910)(1411, 2911)(1412, 2912)(1413, 2913)(1414, 2914)(1415, 2915)(1416, 2916)(1417, 2917)(1418, 2918)(1419, 2919)(1420, 2920)(1421, 2921)(1422, 2922)(1423, 2923)(1424, 2924)(1425, 2925)(1426, 2926)(1427, 2927)(1428, 2928)(1429, 2929)(1430, 2930)(1431, 2931)(1432, 2932)(1433, 2933)(1434, 2934)(1435, 2935)(1436, 2936)(1437, 2937)(1438, 2938)(1439, 2939)(1440, 2940)(1441, 2941)(1442, 2942)(1443, 2943)(1444, 2944)(1445, 2945)(1446, 2946)(1447, 2947)(1448, 2948)(1449, 2949)(1450, 2950)(1451, 2951)(1452, 2952)(1453, 2953)(1454, 2954)(1455, 2955)(1456, 2956)(1457, 2957)(1458, 2958)(1459, 2959)(1460, 2960)(1461, 2961)(1462, 2962)(1463, 2963)(1464, 2964)(1465, 2965)(1466, 2966)(1467, 2967)(1468, 2968)(1469, 2969)(1470, 2970)(1471, 2971)(1472, 2972)(1473, 2973)(1474, 2974)(1475, 2975)(1476, 2976)(1477, 2977)(1478, 2978)(1479, 2979)(1480, 2980)(1481, 2981)(1482, 2982)(1483, 2983)(1484, 2984)(1485, 2985)(1486, 2986)(1487, 2987)(1488, 2988)(1489, 2989)(1490, 2990)(1491, 2991)(1492, 2992)(1493, 2993)(1494, 2994)(1495, 2995)(1496, 2996)(1497, 2997)(1498, 2998)(1499, 2999)(1500, 3000)
	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 E26.1557
Graph:: bipartite
	v = 450 e = 1500 f = 1000
	degree seq :: [ 4^375, 20^75 ]

E26.1557 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 10})
Quotient :: dipole
Aut^+ = $<750, 5>$ (small group id <750, 5>)
Aut   = $<1500, 37>$ (small group id <1500, 37>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^3, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^10, Y3 * Y1^-1 * Y3^-2 * Y1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^3 * Y1^-1 * Y3^2 * Y1^-1, Y3^2 * Y1^-1 * Y3^-4 * Y1 * Y3^3 * Y1^-1 * Y3^5 * Y1^-1, Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-3 * Y1^-1 * Y3 * Y1^-1, Y3^3 * Y1^-1 * Y3^-3 * Y1 * Y3^4 * Y1^-1 * Y3^-4 * Y1^-1, (Y3 * Y2^-1)^10 ]
Map:: polytopal
	R = (1, 751, 2, 752, 4, 754)(3, 753, 8, 758, 10, 760)(5, 755, 12, 762, 6, 756)(7, 757, 15, 765, 11, 761)(9, 759, 18, 768, 20, 770)(13, 763, 25, 775, 23, 773)(14, 764, 24, 774, 28, 778)(16, 766, 31, 781, 29, 779)(17, 767, 33, 783, 21, 771)(19, 769, 36, 786, 38, 788)(22, 772, 30, 780, 42, 792)(26, 776, 47, 797, 45, 795)(27, 777, 49, 799, 51, 801)(32, 782, 57, 807, 55, 805)(34, 784, 61, 811, 59, 809)(35, 785, 63, 813, 39, 789)(37, 787, 66, 816, 68, 818)(40, 790, 60, 810, 72, 822)(41, 791, 73, 823, 75, 825)(43, 793, 46, 796, 78, 828)(44, 794, 79, 829, 52, 802)(48, 798, 85, 835, 83, 833)(50, 800, 87, 837, 89, 839)(53, 803, 56, 806, 93, 843)(54, 804, 94, 844, 76, 826)(58, 808, 100, 850, 98, 848)(62, 812, 105, 855, 103, 853)(64, 814, 109, 859, 107, 857)(65, 815, 111, 861, 69, 819)(67, 817, 114, 864, 115, 865)(70, 820, 108, 858, 119, 869)(71, 821, 120, 870, 122, 872)(74, 824, 125, 875, 126, 876)(77, 827, 129, 879, 131, 881)(80, 830, 135, 885, 133, 883)(81, 831, 84, 834, 138, 888)(82, 832, 139, 889, 132, 882)(86, 836, 144, 894, 90, 840)(88, 838, 147, 897, 148, 898)(91, 841, 134, 884, 152, 902)(92, 842, 153, 903, 155, 905)(95, 845, 159, 909, 157, 907)(96, 846, 99, 849, 162, 912)(97, 847, 163, 913, 156, 906)(101, 851, 104, 854, 169, 919)(102, 852, 170, 920, 123, 873)(106, 856, 176, 926, 174, 924)(110, 860, 181, 931, 179, 929)(112, 862, 185, 935, 183, 933)(113, 863, 187, 937, 116, 866)(117, 867, 184, 934, 193, 943)(118, 868, 194, 944, 196, 946)(121, 871, 199, 949, 200, 950)(124, 874, 203, 953, 127, 877)(128, 878, 158, 908, 209, 959)(130, 880, 211, 961, 213, 963)(136, 886, 220, 970, 218, 968)(137, 887, 221, 971, 223, 973)(140, 890, 227, 977, 225, 975)(141, 891, 143, 893, 230, 980)(142, 892, 231, 981, 224, 974)(145, 895, 236, 986, 234, 984)(146, 896, 238, 988, 149, 899)(150, 900, 235, 985, 244, 994)(151, 901, 245, 995, 247, 997)(154, 904, 250, 1000, 252, 1002)(160, 910, 259, 1009, 257, 1007)(161, 911, 260, 1010, 262, 1012)(164, 914, 266, 1016, 264, 1014)(165, 915, 167, 917, 269, 1019)(166, 916, 270, 1020, 263, 1013)(168, 918, 273, 1023, 275, 1025)(171, 921, 279, 1029, 277, 1027)(172, 922, 175, 925, 282, 1032)(173, 923, 283, 1033, 276, 1026)(177, 927, 180, 930, 289, 1039)(178, 928, 290, 1040, 197, 947)(182, 932, 296, 1046, 294, 1044)(186, 936, 301, 1051, 299, 1049)(188, 938, 305, 1055, 303, 1053)(189, 939, 307, 1057, 190, 940)(191, 941, 304, 1054, 311, 1061)(192, 942, 312, 1062, 314, 1064)(195, 945, 317, 1067, 318, 1068)(198, 948, 321, 1071, 201, 951)(202, 952, 278, 1028, 327, 1077)(204, 954, 330, 1080, 328, 1078)(205, 955, 332, 1082, 206, 956)(207, 957, 329, 1079, 336, 1086)(208, 958, 337, 1087, 339, 1089)(210, 960, 341, 1091, 214, 964)(212, 962, 344, 1094, 345, 1095)(215, 965, 226, 976, 349, 1099)(216, 966, 219, 969, 351, 1101)(217, 967, 352, 1102, 248, 998)(222, 972, 358, 1108, 360, 1110)(228, 978, 367, 1117, 365, 1115)(229, 979, 368, 1118, 370, 1120)(232, 982, 374, 1124, 372, 1122)(233, 983, 376, 1126, 371, 1121)(237, 987, 382, 1132, 380, 1130)(239, 989, 386, 1136, 384, 1134)(240, 990, 388, 1138, 241, 991)(242, 992, 385, 1135, 392, 1142)(243, 993, 393, 1143, 395, 1145)(246, 996, 398, 1148, 399, 1149)(249, 999, 402, 1152, 253, 1003)(251, 1001, 405, 1155, 406, 1156)(254, 1004, 265, 1015, 410, 1160)(255, 1005, 258, 1008, 412, 1162)(256, 1006, 413, 1163, 340, 1090)(261, 1011, 419, 1169, 421, 1171)(267, 1017, 428, 1178, 426, 1176)(268, 1018, 429, 1179, 431, 1181)(271, 1021, 435, 1185, 433, 1183)(272, 1022, 437, 1187, 432, 1182)(274, 1024, 440, 1190, 442, 1192)(280, 1030, 449, 1199, 447, 1197)(281, 1031, 450, 1200, 452, 1202)(284, 1034, 456, 1206, 454, 1204)(285, 1035, 287, 1037, 459, 1209)(286, 1036, 460, 1210, 453, 1203)(288, 1038, 463, 1213, 465, 1215)(291, 1041, 423, 1173, 434, 1184)(292, 1042, 295, 1045, 468, 1218)(293, 1043, 424, 1174, 427, 1177)(297, 1047, 300, 1050, 474, 1224)(298, 1048, 409, 1159, 315, 1065)(302, 1052, 479, 1229, 389, 1139)(306, 1056, 482, 1232, 387, 1137)(308, 1058, 486, 1236, 484, 1234)(309, 1059, 485, 1235, 420, 1170)(310, 1060, 488, 1238, 490, 1240)(313, 1063, 493, 1243, 494, 1244)(316, 1066, 408, 1158, 319, 1069)(320, 1070, 401, 1151, 499, 1249)(322, 1072, 501, 1251, 500, 1250)(323, 1073, 503, 1253, 324, 1074)(325, 1075, 400, 1150, 397, 1147)(326, 1076, 396, 1146, 379, 1129)(331, 1081, 487, 1237, 510, 1260)(333, 1083, 483, 1233, 512, 1262)(334, 1084, 513, 1263, 515, 1265)(335, 1085, 516, 1266, 518, 1268)(338, 1088, 521, 1271, 522, 1272)(342, 1092, 525, 1275, 524, 1274)(343, 1093, 527, 1277, 346, 1096)(347, 1097, 523, 1273, 520, 1270)(348, 1098, 519, 1269, 509, 1259)(350, 1100, 531, 1281, 532, 1282)(353, 1103, 444, 1194, 455, 1205)(354, 1104, 356, 1106, 534, 1284)(355, 1105, 445, 1195, 448, 1198)(357, 1107, 537, 1287, 361, 1111)(359, 1109, 458, 1208, 539, 1289)(362, 1112, 373, 1123, 414, 1164)(363, 1113, 366, 1116, 416, 1166)(364, 1114, 425, 1175, 446, 1196)(369, 1119, 451, 1201, 430, 1180)(375, 1125, 548, 1298, 546, 1296)(377, 1127, 549, 1299, 502, 1252)(378, 1128, 381, 1131, 552, 1302)(383, 1133, 557, 1307, 462, 1212)(390, 1140, 560, 1310, 441, 1191)(391, 1141, 561, 1311, 563, 1313)(394, 1144, 566, 1316, 480, 1230)(403, 1153, 572, 1322, 571, 1321)(404, 1154, 574, 1324, 407, 1157)(411, 1161, 577, 1327, 578, 1328)(415, 1165, 417, 1167, 580, 1330)(418, 1168, 583, 1333, 422, 1172)(436, 1186, 592, 1342, 590, 1340)(438, 1188, 593, 1343, 526, 1276)(439, 1189, 595, 1345, 443, 1193)(457, 1207, 544, 1294, 604, 1354)(461, 1211, 606, 1356, 573, 1323)(464, 1214, 609, 1359, 514, 1264)(466, 1216, 611, 1361, 586, 1336)(467, 1217, 612, 1362, 540, 1290)(469, 1219, 567, 1317, 565, 1315)(470, 1220, 472, 1222, 528, 1278)(471, 1221, 614, 1364, 613, 1363)(473, 1223, 616, 1366, 584, 1334)(475, 1225, 602, 1352, 576, 1326)(476, 1226, 478, 1228, 619, 1369)(477, 1227, 603, 1353, 605, 1355)(481, 1231, 598, 1348, 491, 1241)(489, 1239, 623, 1373, 624, 1374)(492, 1242, 581, 1331, 495, 1245)(496, 1246, 547, 1297, 555, 1305)(497, 1247, 627, 1377, 498, 1248)(504, 1254, 622, 1372, 632, 1382)(505, 1255, 633, 1383, 635, 1385)(506, 1256, 568, 1318, 591, 1341)(507, 1257, 553, 1303, 545, 1295)(508, 1258, 511, 1261, 637, 1387)(517, 1267, 640, 1390, 558, 1308)(529, 1279, 645, 1395, 646, 1396)(530, 1280, 638, 1388, 589, 1339)(533, 1283, 648, 1398, 585, 1335)(535, 1285, 641, 1391, 599, 1349)(536, 1286, 650, 1400, 649, 1399)(538, 1288, 636, 1386, 652, 1402)(541, 1291, 564, 1314, 559, 1309)(542, 1292, 543, 1293, 655, 1405)(550, 1300, 660, 1410, 628, 1378)(551, 1301, 661, 1411, 596, 1346)(554, 1304, 556, 1306, 664, 1414)(562, 1312, 667, 1417, 668, 1418)(569, 1319, 670, 1420, 570, 1320)(575, 1325, 673, 1423, 674, 1424)(579, 1329, 675, 1425, 597, 1347)(582, 1332, 677, 1427, 676, 1426)(587, 1337, 588, 1338, 680, 1430)(594, 1344, 684, 1434, 671, 1421)(600, 1350, 601, 1351, 688, 1438)(607, 1357, 693, 1443, 692, 1442)(608, 1358, 647, 1397, 610, 1360)(615, 1365, 662, 1412, 685, 1435)(617, 1367, 678, 1428, 634, 1384)(618, 1368, 696, 1446, 690, 1440)(620, 1370, 669, 1419, 683, 1433)(621, 1371, 695, 1445, 686, 1436)(625, 1375, 659, 1409, 626, 1376)(629, 1379, 700, 1450, 702, 1452)(630, 1380, 631, 1381, 644, 1394)(639, 1389, 687, 1437, 705, 1455)(642, 1392, 706, 1456, 643, 1393)(651, 1401, 703, 1453, 653, 1403)(654, 1404, 666, 1416, 709, 1459)(656, 1406, 711, 1461, 710, 1460)(657, 1407, 665, 1415, 691, 1441)(658, 1408, 663, 1413, 708, 1458)(672, 1422, 718, 1468, 719, 1469)(679, 1429, 694, 1444, 721, 1471)(681, 1431, 723, 1473, 722, 1472)(682, 1432, 704, 1454, 720, 1470)(689, 1439, 728, 1478, 727, 1477)(697, 1447, 726, 1476, 701, 1451)(698, 1448, 733, 1483, 731, 1481)(699, 1449, 715, 1465, 724, 1474)(707, 1457, 735, 1485, 734, 1484)(712, 1462, 716, 1466, 713, 1463)(714, 1464, 736, 1486, 738, 1488)(717, 1467, 739, 1489, 737, 1487)(725, 1475, 740, 1490, 742, 1492)(729, 1479, 732, 1482, 743, 1493)(730, 1480, 744, 1494, 741, 1491)(745, 1495, 747, 1497, 749, 1499)(746, 1496, 748, 1498, 750, 1500)(1501, 2251)(1502, 2252)(1503, 2253)(1504, 2254)(1505, 2255)(1506, 2256)(1507, 2257)(1508, 2258)(1509, 2259)(1510, 2260)(1511, 2261)(1512, 2262)(1513, 2263)(1514, 2264)(1515, 2265)(1516, 2266)(1517, 2267)(1518, 2268)(1519, 2269)(1520, 2270)(1521, 2271)(1522, 2272)(1523, 2273)(1524, 2274)(1525, 2275)(1526, 2276)(1527, 2277)(1528, 2278)(1529, 2279)(1530, 2280)(1531, 2281)(1532, 2282)(1533, 2283)(1534, 2284)(1535, 2285)(1536, 2286)(1537, 2287)(1538, 2288)(1539, 2289)(1540, 2290)(1541, 2291)(1542, 2292)(1543, 2293)(1544, 2294)(1545, 2295)(1546, 2296)(1547, 2297)(1548, 2298)(1549, 2299)(1550, 2300)(1551, 2301)(1552, 2302)(1553, 2303)(1554, 2304)(1555, 2305)(1556, 2306)(1557, 2307)(1558, 2308)(1559, 2309)(1560, 2310)(1561, 2311)(1562, 2312)(1563, 2313)(1564, 2314)(1565, 2315)(1566, 2316)(1567, 2317)(1568, 2318)(1569, 2319)(1570, 2320)(1571, 2321)(1572, 2322)(1573, 2323)(1574, 2324)(1575, 2325)(1576, 2326)(1577, 2327)(1578, 2328)(1579, 2329)(1580, 2330)(1581, 2331)(1582, 2332)(1583, 2333)(1584, 2334)(1585, 2335)(1586, 2336)(1587, 2337)(1588, 2338)(1589, 2339)(1590, 2340)(1591, 2341)(1592, 2342)(1593, 2343)(1594, 2344)(1595, 2345)(1596, 2346)(1597, 2347)(1598, 2348)(1599, 2349)(1600, 2350)(1601, 2351)(1602, 2352)(1603, 2353)(1604, 2354)(1605, 2355)(1606, 2356)(1607, 2357)(1608, 2358)(1609, 2359)(1610, 2360)(1611, 2361)(1612, 2362)(1613, 2363)(1614, 2364)(1615, 2365)(1616, 2366)(1617, 2367)(1618, 2368)(1619, 2369)(1620, 2370)(1621, 2371)(1622, 2372)(1623, 2373)(1624, 2374)(1625, 2375)(1626, 2376)(1627, 2377)(1628, 2378)(1629, 2379)(1630, 2380)(1631, 2381)(1632, 2382)(1633, 2383)(1634, 2384)(1635, 2385)(1636, 2386)(1637, 2387)(1638, 2388)(1639, 2389)(1640, 2390)(1641, 2391)(1642, 2392)(1643, 2393)(1644, 2394)(1645, 2395)(1646, 2396)(1647, 2397)(1648, 2398)(1649, 2399)(1650, 2400)(1651, 2401)(1652, 2402)(1653, 2403)(1654, 2404)(1655, 2405)(1656, 2406)(1657, 2407)(1658, 2408)(1659, 2409)(1660, 2410)(1661, 2411)(1662, 2412)(1663, 2413)(1664, 2414)(1665, 2415)(1666, 2416)(1667, 2417)(1668, 2418)(1669, 2419)(1670, 2420)(1671, 2421)(1672, 2422)(1673, 2423)(1674, 2424)(1675, 2425)(1676, 2426)(1677, 2427)(1678, 2428)(1679, 2429)(1680, 2430)(1681, 2431)(1682, 2432)(1683, 2433)(1684, 2434)(1685, 2435)(1686, 2436)(1687, 2437)(1688, 2438)(1689, 2439)(1690, 2440)(1691, 2441)(1692, 2442)(1693, 2443)(1694, 2444)(1695, 2445)(1696, 2446)(1697, 2447)(1698, 2448)(1699, 2449)(1700, 2450)(1701, 2451)(1702, 2452)(1703, 2453)(1704, 2454)(1705, 2455)(1706, 2456)(1707, 2457)(1708, 2458)(1709, 2459)(1710, 2460)(1711, 2461)(1712, 2462)(1713, 2463)(1714, 2464)(1715, 2465)(1716, 2466)(1717, 2467)(1718, 2468)(1719, 2469)(1720, 2470)(1721, 2471)(1722, 2472)(1723, 2473)(1724, 2474)(1725, 2475)(1726, 2476)(1727, 2477)(1728, 2478)(1729, 2479)(1730, 2480)(1731, 2481)(1732, 2482)(1733, 2483)(1734, 2484)(1735, 2485)(1736, 2486)(1737, 2487)(1738, 2488)(1739, 2489)(1740, 2490)(1741, 2491)(1742, 2492)(1743, 2493)(1744, 2494)(1745, 2495)(1746, 2496)(1747, 2497)(1748, 2498)(1749, 2499)(1750, 2500)(1751, 2501)(1752, 2502)(1753, 2503)(1754, 2504)(1755, 2505)(1756, 2506)(1757, 2507)(1758, 2508)(1759, 2509)(1760, 2510)(1761, 2511)(1762, 2512)(1763, 2513)(1764, 2514)(1765, 2515)(1766, 2516)(1767, 2517)(1768, 2518)(1769, 2519)(1770, 2520)(1771, 2521)(1772, 2522)(1773, 2523)(1774, 2524)(1775, 2525)(1776, 2526)(1777, 2527)(1778, 2528)(1779, 2529)(1780, 2530)(1781, 2531)(1782, 2532)(1783, 2533)(1784, 2534)(1785, 2535)(1786, 2536)(1787, 2537)(1788, 2538)(1789, 2539)(1790, 2540)(1791, 2541)(1792, 2542)(1793, 2543)(1794, 2544)(1795, 2545)(1796, 2546)(1797, 2547)(1798, 2548)(1799, 2549)(1800, 2550)(1801, 2551)(1802, 2552)(1803, 2553)(1804, 2554)(1805, 2555)(1806, 2556)(1807, 2557)(1808, 2558)(1809, 2559)(1810, 2560)(1811, 2561)(1812, 2562)(1813, 2563)(1814, 2564)(1815, 2565)(1816, 2566)(1817, 2567)(1818, 2568)(1819, 2569)(1820, 2570)(1821, 2571)(1822, 2572)(1823, 2573)(1824, 2574)(1825, 2575)(1826, 2576)(1827, 2577)(1828, 2578)(1829, 2579)(1830, 2580)(1831, 2581)(1832, 2582)(1833, 2583)(1834, 2584)(1835, 2585)(1836, 2586)(1837, 2587)(1838, 2588)(1839, 2589)(1840, 2590)(1841, 2591)(1842, 2592)(1843, 2593)(1844, 2594)(1845, 2595)(1846, 2596)(1847, 2597)(1848, 2598)(1849, 2599)(1850, 2600)(1851, 2601)(1852, 2602)(1853, 2603)(1854, 2604)(1855, 2605)(1856, 2606)(1857, 2607)(1858, 2608)(1859, 2609)(1860, 2610)(1861, 2611)(1862, 2612)(1863, 2613)(1864, 2614)(1865, 2615)(1866, 2616)(1867, 2617)(1868, 2618)(1869, 2619)(1870, 2620)(1871, 2621)(1872, 2622)(1873, 2623)(1874, 2624)(1875, 2625)(1876, 2626)(1877, 2627)(1878, 2628)(1879, 2629)(1880, 2630)(1881, 2631)(1882, 2632)(1883, 2633)(1884, 2634)(1885, 2635)(1886, 2636)(1887, 2637)(1888, 2638)(1889, 2639)(1890, 2640)(1891, 2641)(1892, 2642)(1893, 2643)(1894, 2644)(1895, 2645)(1896, 2646)(1897, 2647)(1898, 2648)(1899, 2649)(1900, 2650)(1901, 2651)(1902, 2652)(1903, 2653)(1904, 2654)(1905, 2655)(1906, 2656)(1907, 2657)(1908, 2658)(1909, 2659)(1910, 2660)(1911, 2661)(1912, 2662)(1913, 2663)(1914, 2664)(1915, 2665)(1916, 2666)(1917, 2667)(1918, 2668)(1919, 2669)(1920, 2670)(1921, 2671)(1922, 2672)(1923, 2673)(1924, 2674)(1925, 2675)(1926, 2676)(1927, 2677)(1928, 2678)(1929, 2679)(1930, 2680)(1931, 2681)(1932, 2682)(1933, 2683)(1934, 2684)(1935, 2685)(1936, 2686)(1937, 2687)(1938, 2688)(1939, 2689)(1940, 2690)(1941, 2691)(1942, 2692)(1943, 2693)(1944, 2694)(1945, 2695)(1946, 2696)(1947, 2697)(1948, 2698)(1949, 2699)(1950, 2700)(1951, 2701)(1952, 2702)(1953, 2703)(1954, 2704)(1955, 2705)(1956, 2706)(1957, 2707)(1958, 2708)(1959, 2709)(1960, 2710)(1961, 2711)(1962, 2712)(1963, 2713)(1964, 2714)(1965, 2715)(1966, 2716)(1967, 2717)(1968, 2718)(1969, 2719)(1970, 2720)(1971, 2721)(1972, 2722)(1973, 2723)(1974, 2724)(1975, 2725)(1976, 2726)(1977, 2727)(1978, 2728)(1979, 2729)(1980, 2730)(1981, 2731)(1982, 2732)(1983, 2733)(1984, 2734)(1985, 2735)(1986, 2736)(1987, 2737)(1988, 2738)(1989, 2739)(1990, 2740)(1991, 2741)(1992, 2742)(1993, 2743)(1994, 2744)(1995, 2745)(1996, 2746)(1997, 2747)(1998, 2748)(1999, 2749)(2000, 2750)(2001, 2751)(2002, 2752)(2003, 2753)(2004, 2754)(2005, 2755)(2006, 2756)(2007, 2757)(2008, 2758)(2009, 2759)(2010, 2760)(2011, 2761)(2012, 2762)(2013, 2763)(2014, 2764)(2015, 2765)(2016, 2766)(2017, 2767)(2018, 2768)(2019, 2769)(2020, 2770)(2021, 2771)(2022, 2772)(2023, 2773)(2024, 2774)(2025, 2775)(2026, 2776)(2027, 2777)(2028, 2778)(2029, 2779)(2030, 2780)(2031, 2781)(2032, 2782)(2033, 2783)(2034, 2784)(2035, 2785)(2036, 2786)(2037, 2787)(2038, 2788)(2039, 2789)(2040, 2790)(2041, 2791)(2042, 2792)(2043, 2793)(2044, 2794)(2045, 2795)(2046, 2796)(2047, 2797)(2048, 2798)(2049, 2799)(2050, 2800)(2051, 2801)(2052, 2802)(2053, 2803)(2054, 2804)(2055, 2805)(2056, 2806)(2057, 2807)(2058, 2808)(2059, 2809)(2060, 2810)(2061, 2811)(2062, 2812)(2063, 2813)(2064, 2814)(2065, 2815)(2066, 2816)(2067, 2817)(2068, 2818)(2069, 2819)(2070, 2820)(2071, 2821)(2072, 2822)(2073, 2823)(2074, 2824)(2075, 2825)(2076, 2826)(2077, 2827)(2078, 2828)(2079, 2829)(2080, 2830)(2081, 2831)(2082, 2832)(2083, 2833)(2084, 2834)(2085, 2835)(2086, 2836)(2087, 2837)(2088, 2838)(2089, 2839)(2090, 2840)(2091, 2841)(2092, 2842)(2093, 2843)(2094, 2844)(2095, 2845)(2096, 2846)(2097, 2847)(2098, 2848)(2099, 2849)(2100, 2850)(2101, 2851)(2102, 2852)(2103, 2853)(2104, 2854)(2105, 2855)(2106, 2856)(2107, 2857)(2108, 2858)(2109, 2859)(2110, 2860)(2111, 2861)(2112, 2862)(2113, 2863)(2114, 2864)(2115, 2865)(2116, 2866)(2117, 2867)(2118, 2868)(2119, 2869)(2120, 2870)(2121, 2871)(2122, 2872)(2123, 2873)(2124, 2874)(2125, 2875)(2126, 2876)(2127, 2877)(2128, 2878)(2129, 2879)(2130, 2880)(2131, 2881)(2132, 2882)(2133, 2883)(2134, 2884)(2135, 2885)(2136, 2886)(2137, 2887)(2138, 2888)(2139, 2889)(2140, 2890)(2141, 2891)(2142, 2892)(2143, 2893)(2144, 2894)(2145, 2895)(2146, 2896)(2147, 2897)(2148, 2898)(2149, 2899)(2150, 2900)(2151, 2901)(2152, 2902)(2153, 2903)(2154, 2904)(2155, 2905)(2156, 2906)(2157, 2907)(2158, 2908)(2159, 2909)(2160, 2910)(2161, 2911)(2162, 2912)(2163, 2913)(2164, 2914)(2165, 2915)(2166, 2916)(2167, 2917)(2168, 2918)(2169, 2919)(2170, 2920)(2171, 2921)(2172, 2922)(2173, 2923)(2174, 2924)(2175, 2925)(2176, 2926)(2177, 2927)(2178, 2928)(2179, 2929)(2180, 2930)(2181, 2931)(2182, 2932)(2183, 2933)(2184, 2934)(2185, 2935)(2186, 2936)(2187, 2937)(2188, 2938)(2189, 2939)(2190, 2940)(2191, 2941)(2192, 2942)(2193, 2943)(2194, 2944)(2195, 2945)(2196, 2946)(2197, 2947)(2198, 2948)(2199, 2949)(2200, 2950)(2201, 2951)(2202, 2952)(2203, 2953)(2204, 2954)(2205, 2955)(2206, 2956)(2207, 2957)(2208, 2958)(2209, 2959)(2210, 2960)(2211, 2961)(2212, 2962)(2213, 2963)(2214, 2964)(2215, 2965)(2216, 2966)(2217, 2967)(2218, 2968)(2219, 2969)(2220, 2970)(2221, 2971)(2222, 2972)(2223, 2973)(2224, 2974)(2225, 2975)(2226, 2976)(2227, 2977)(2228, 2978)(2229, 2979)(2230, 2980)(2231, 2981)(2232, 2982)(2233, 2983)(2234, 2984)(2235, 2985)(2236, 2986)(2237, 2987)(2238, 2988)(2239, 2989)(2240, 2990)(2241, 2991)(2242, 2992)(2243, 2993)(2244, 2994)(2245, 2995)(2246, 2996)(2247, 2997)(2248, 2998)(2249, 2999)(2250, 3000)
	L = (1, 1503)(2, 1506)(3, 1509)(4, 1511)(5, 1501)(6, 1514)(7, 1502)(8, 1504)(9, 1519)(10, 1521)(11, 1522)(12, 1523)(13, 1505)(14, 1527)(15, 1529)(16, 1507)(17, 1508)(18, 1510)(19, 1537)(20, 1539)(21, 1540)(22, 1541)(23, 1543)(24, 1512)(25, 1545)(26, 1513)(27, 1550)(28, 1552)(29, 1553)(30, 1515)(31, 1555)(32, 1516)(33, 1559)(34, 1517)(35, 1518)(36, 1520)(37, 1567)(38, 1569)(39, 1570)(40, 1571)(41, 1574)(42, 1576)(43, 1577)(44, 1524)(45, 1581)(46, 1525)(47, 1583)(48, 1526)(49, 1528)(50, 1588)(51, 1590)(52, 1591)(53, 1592)(54, 1530)(55, 1596)(56, 1531)(57, 1598)(58, 1532)(59, 1601)(60, 1533)(61, 1603)(62, 1534)(63, 1607)(64, 1535)(65, 1536)(66, 1538)(67, 1548)(68, 1616)(69, 1617)(70, 1618)(71, 1621)(72, 1623)(73, 1542)(74, 1606)(75, 1627)(76, 1628)(77, 1630)(78, 1632)(79, 1633)(80, 1544)(81, 1637)(82, 1546)(83, 1641)(84, 1547)(85, 1615)(86, 1549)(87, 1551)(88, 1558)(89, 1649)(90, 1650)(91, 1651)(92, 1654)(93, 1656)(94, 1657)(95, 1554)(96, 1661)(97, 1556)(98, 1665)(99, 1557)(100, 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	local type(s) :: { ( 4, 20 ), ( 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E26.1556
Graph:: simple bipartite
	v = 1000 e = 1500 f = 450
	degree seq :: [ 2^750, 6^250 ]

## Checksum: 1557 records.
## Written on: Mon Oct 21 21:56:19 CEST 2019